diff --git "a/data/dm_maths/full_data/10578_11255.jsonl" "b/data/dm_maths/full_data/10578_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10578_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let o(k) = -8*k + 23. Let i be o(5). Let s(x) = -x**2 - 11*x + 104. Calculate the smallest common multiple of 4 and s(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 5*j + x + 6, -4*j - 21 = -3*x for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -21611, -43329, -65061, -86813, -108591, -130401?\n\"Answer: -r**3 - r**2 - 21708*r + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 less than 94716?\nAnswer: 94715.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -5*h**3 - h**2 + 9*h - 16. Let i be j(-4). Calculate the greatest common factor of i and 2100.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 6271*d - 26842*d - 2.\nAnswer: -33113*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 15 = -0*m - 2*m, -l - 3 = -5*m. Let g = 33 + l. What is the greatest common divisor of g and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 - 3)*(-11*f**2 - 5*f**2 - 55*f**2)*(-5*f**2 + 0*f**2 + 3*f**2).\nAnswer: -1278*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2936431 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1234 (base 8) to base 15.\nAnswer: 2e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + 19. Let u = x - 14. What is the remainder when u is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = -4*c + 106. What is the greatest common divisor of c and 296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 437086 = 4*j - 8*j - 5*s, 4*s = -3*j - 327815. Let g be j\/24 - (-1 - -4). Let b = g + 4567. What is the common denominator of b and -35\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 694179 to the nearest integer?\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11680763 and 0.4.\nAnswer: 4672305.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -178*c*n - 170*c with respect to n.\nAnswer: -178*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 10, -2 in descending order.\nAnswer: 10, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3 - 42*y**2 - 1029*y - 4116.\nAnswer: 3*(y - 28)*(y + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/6 (b) -2\/48155 (c) -2 (d) -46 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/9)\/(t*t\/(t\/(t*t\/(t**(-1\/5)*t)))))**(-14\/9)\/((t*t**0*t*t)**(-18))**(1\/39) assuming t is positive.\nAnswer: t**(23488\/5265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 5*v + 1. Let n be c(-4). Let i = -0.34 - 0.06. Let d = 0 - i. What is the nearest to 1\/2 in -2, n, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-620)\/(-160) + (-4)\/(-32). Factor f**b + 0 + 4*f**2 - 11\/3*f**3 - 4\/3*f.\nAnswer: f*(f - 2)*(f - 1)*(3*f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -140*f + 176 + 944. Which is smaller: f or 251\/32?\nAnswer: 251\/32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*o + 18*o - 4*j + 28, -3 + 5 = -j for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 127 + -252 + 136 + -2 + 15\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1198\/13 - 92. Let f = -0.29 - -0.4. Let c = -0.21 + f. Are c and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in -5, -1\/5, 2, 7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 8*z**3\/3 - z**2\/2 - 100*z + 30. Find the first derivative of a(w) wrt w.\nAnswer: 16*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*n = 5*o - 34, -5*n = -o + 62. Let m be ((-3)\/15 + -1)*(-30)\/n. Let c(t) = -6*t + 1. Give c(m).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/5 - 9188424*x\/5 - 10553391950472\/5.\nAnswer: -2*(x + 2297106)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 6*c = -0*c - 17, -2*w = -5*c - 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(121) + 2*sqrt(121)))\/((sqrt(176) - sqrt(11))*6 - sqrt(11)).\nAnswer: 15*sqrt(11)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4853482?\nAnswer: 2, 2426741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1260420221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 r when two letters picked without replacement from vvrrversfrefvvffva.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 4*u - 2. Calculate the remainder when 58 is divided by m(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 581489.\nAnswer: 43, 13523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 17. Suppose -3*u + 3*a + 12 = 3, -3 = 3*a. Suppose i + p*b + 2*b - 361 = 0, 740 = u*i - 5*b. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b88 (base 13) to base 11.\nAnswer: -1532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 311*k**2 + 1853*k - 97. Give w(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1205224.\nAnswer: 2, 79, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiii. Give prob of sequence iiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7626146 minus 2?\nAnswer: -7626148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*t**3\/5 + 1692*t**2\/5 + 2148*t\/5 - 3688\/5 = 0. Calculate t.\nAnswer: -2, 1, 461\/38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 122256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*u**3 - 1 + 2*u**4 + 9*u**2 + 6*u**3 - 19*u**3 to z*u + k*u**2 + o*u**4 + i*u**3 + n and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, l: 1, g: 1, s: 1, d: 1, e: 1}. Give prob of picking 1 h, 1 s, 1 l, and 1 e.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 3. Let q = s - 1. Suppose 2*h = c + q*h + 7, h = 4*c + 133. Round c to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x - 3. Let u be k(5). Let h = 162 - 86. Suppose 12*q - h + 16 = 0. Solve u*y - 6 = 4*v + 4*y, q*y - 33 = 2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3023*t - 4283*t - 85680 for t.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 a when two letters picked without replacement from alzpzyz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1220110110 (base 3) to base 12.\nAnswer: -19863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 349*c**2 - 350*c**2 + 10*c**3 - 61*c**3 to the form p*c**2 + x*c + w + k*c**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 572 and 42.\nAnswer: 12012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1*(sqrt(288) + -1*sqrt(288)*-1) + 4))**2.\nAnswer: 1728*sqrt(2) + 10512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8044 (base 9) to base 3.\nAnswer: -22001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 20\/4041?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((627\/154)\/19)\/((-12)\/(-14)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 7. Let l = 42404 + -42403. Put l, g, 4, 3 in decreasing order.\nAnswer: g, 4, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-5*(sqrt(684) - (sqrt(684) + 0))*4)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11*-12\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 930a (base 16) to base 8.\nAnswer: 111412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -300\/7 at least as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddtmxxxdxxtmdxdmxr. What is prob of picking 1 m and 1 t?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 7*x - 3. Let j be z(-6). Suppose j*f = 8*f - 25. Is 5 a factor of 2\/2*3*f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*r + 201 = -396, 3*r = 5*z - 2985. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -6, 5, -73 in ascending order.\nAnswer: -73, -6, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ty when two letters picked without replacement from tyyzztnztyyyzgy?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 438590 to the nearest integer?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33045 - -33044. What is the closest to q in 5, -0.05, -5, 0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17353 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -3 - (-8 + 11 + -23)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) 0.072 (c) 4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1338 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*k - 4 + 25 + 41 = 0. Sort 1, 2056, k in ascending order.\nAnswer: 1, k, 2056","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 61796 and 14?\nAnswer: 61796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -3*c + 10. Suppose -2*a = -c*m + 254 - 24, -2*a - 230 = m. Let p = a + 175. Does 20 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -11*g**2 + 1883*g - 14921. Determine u(8).\nAnswer: -561","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39 + -7. Suppose -4*x = -3*x + c. Let r be 80\/x - 3\/(-2). Let t(z) = 2*z**3 - z**2 - 2*z - 1. What is t(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-14)\/(-105))\/(166\/(-1245)))\/((-1)\/(-16))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4 = 0, -6*s + 6 = 5*t - 4*s. Solve -2 = -t*y + 8 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.21798 (b) 3\/2 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.9995 to 1 dp.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + y - 5. Suppose 2*d = -4*x + 26, d - 3*x + 9 = -d. Let m be n(d). Suppose -30 - 82 = -m*v. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.0053, 18685 in ascending order.\nAnswer: -0.0053, 2, 18685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*h + 2*o, 3*o = 7*o - 16. Suppose -h*p + 519 = 5*j, -7*p + 2*p - 3*j = -652. List the prime factors of p.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1859*c - c**2 + 2*c**3 - 154*c + 2 + 950*c to k*c**3 + a*c + w + f*c**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*a - 27 = 35 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -367 + 375. Suppose -u + 68 = 3*z - 7*z, 5*u + 3*z = 455. Calculate the highest common divisor of u and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2195*y - 770. Is 90 a factor of v(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 27 - 13 = 0. Let v be c*((-41)\/1722)\/(2\/6). Let -3\/7*r**3 + 0 - v*r - 3\/7*r**2 - 1\/7*r**4 = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-9)*f*f*f*f*f**(5\/3))**40 assuming f is positive.\nAnswer: f**(-160\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(450))**2.\nAnswer: 7200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -201733 + 326372. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 9)\/(42\/(-112)*4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 459987 and 5523.\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207 = 2*y - v, -3*y + 6*v - 10*v + 316 = 0. Solve 6*o - y = -80 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 428.99 - 429. Which is the third biggest value? (a) 0.4 (b) 17 (c) n (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 23 = 5*l. Suppose -x - l = -9. Let m be (-2 - x*-2) + 3. What is the highest common divisor of 13 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1403 (base 8) in base 9?\nAnswer: -1046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 82576 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4007998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1008)*-1)**2 + sqrt(1008).\nAnswer: 12*sqrt(7) + 1005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60*(2 + -8)\/(-12) is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 15 - 8)*(-2*q**4 - 2*q + 2*q)*(3 - 3 + 6) to i*q**4 + x + d*q**3 + b*q + m*q**2 and give i.\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v**5 + 4*v**4 + 9*v**3 + 8*v**2 - 5. Let i(u) = 3*u**5 + 5*u**4 + 9*u**3 + 7*u**2 - 4. Let f(w) = 5*i(w) - 4*q(w). Factor f(r).\nAnswer: 3*r**2*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/7, 119, -126, 3\/4, 45?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-7))\/(u*u\/(u*u*((u\/u**36)\/u)\/u*u)*u*u*u))\/(u**(3\/16)*(u\/(u*u**(-1\/18)\/u*u))\/u) assuming u is positive.\nAnswer: u**(-6371\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 0*s + 2*s)*(4 + 7 - 9).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-21408)\/(-240) - (-18)\/10. Calculate the greatest common factor of 2639 and s.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4*a**3 - 4*a**2 - 6*a - 4. Let n be j(-2). Let y be 5\/(n\/(-12))*(-6)\/9. What is the smallest value in 1\/2, 0, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d + 4. What is x(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -515*x**2. Let s(g) = 2*g**2. Give s(q(r)).\nAnswer: 530450*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 351 - -574421?\nAnswer: 574772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l. Let k(y) = -218*y + 2. Let p(b) = 151*b - 1. Let x(g) = 5*k(g) + 7*p(g). Calculate w(x(t)).\nAnswer: -66*t + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000104607 rounded to 6 decimal places?\nAnswer: 0.000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5439 and 0.14?\nAnswer: 0.076146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -5587604.1 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*h + 5*h, h = 5*g - 113. Suppose -g = -3*p + 14. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 592 and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y + 6*y - 30*y.\nAnswer: -31*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 j, and 1 p when three letters picked without replacement from {p: 1, b: 5, j: 10, q: 4}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 41 - (30 + -9).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - h - 11 = 0. Calculate the least common multiple of 7 and h.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 445 = 3*n + 2*n. Which is smaller: n or 91?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9741 - -9740.999986317. What is z rounded to 7 dps?\nAnswer: -0.0000137","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44069885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 4*a**2 - 2*a - 5. Let c be q(-4). Suppose -c*z - 2*z + 40 = 4*o, 3*o + 3*z = 30. Suppose -v - o = 4*v. Which is greater: v or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, z: 2, w: 2, p: 6, k: 6, r: 3}. Give prob of sequence kk.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = h + 117. What is the lowest common multiple of 6 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00096667 rounded to 5 dps?\nAnswer: 0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-7)\/(-756)*8*1?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1127930 to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1651 - (4\/8 + (-55)\/22) a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7135977*x**3 - 5*x**2 - 2*x + 77234270?\nAnswer: 21407931*x**2 - 10*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 - 1514*b**2 + 116592*b - 2374344.\nAnswer: 2*(b - 673)*(b - 42)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 223a50 (base 13) in base 9?\nAnswer: 1461387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) -2 (c) -1\/3 (d) -0.19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -4*f - 1115, 2*m + 9 = -m. Suppose -34*a + 444 = -37*a. Let j = a - f. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 912320.\nAnswer: 10035520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.527 + 1.527. Let o be ((1 + 0)*-4)\/(224\/48). Which is the biggest value? (a) r (b) o (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*h**2 - 213*h**2 + 46*h**2 - 55*h**2.\nAnswer: -198*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 19\/5, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - -3. Let i = w + -3. Let l be 20\/i + (-4)\/18. Solve -23 = 5*x + l for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 3*r + 8, g + 2*r = 2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 6. Suppose 114*y = 159*y - 1125. Calculate the greatest common divisor of y and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -375 - 233 = -8*s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11200 and 34944.\nAnswer: 873600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - j = -2*q + 85, q + j = 17. Calculate the remainder when 73 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 14282, 28562, 42842?\n\"Answer: 14280*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 2.6 and -1.71631 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v + 2. Let u(x) be the second derivative of -5*x**3\/6 - x**2 - 8*x - 2. What is 6*i(b) + 5*u(b)?\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(56) + sqrt(504)*-1))\/(sqrt(192)\/sqrt(6)*-3).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 823608?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 5*i**2 + 3*i + 1. Let z be q(5). Let g be (-3)\/6 + 1\/2. Suppose -z = 4*l, -t + 6 = -g*t - l. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 739.3413 milligrams to grams.\nAnswer: 0.7393413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 448 in -1\/575365, 0, -3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 5*b - 6 = 0, b = -4*r + 10 - 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37219 + 0.76.\nAnswer: -37218.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1163 + 585 - 2*r + 12 + 3315 + 3398.\nAnswer: -2*r + 8473","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -9*c + 4*c. Suppose j - c*j = -75. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3111, -3119, -3131, -3147, -3167?\n\"Answer: -2*k**2 - 2*k - 3107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*y = 5*q + 4, -4*y = 8. Suppose -68*n + 2*t = -69*n + 8, 5*t = 5*n - 55. Suppose -23*o - n = -148. What is the remainder when o is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1273 and 440257.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 986832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 12:46 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-6)\/3)\/(506\/(-8602)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -6, 1.8, 499, -13?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5a573 (base 12) to base 15\nAnswer: -2612c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40727693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**5 - 8967*u**4 - 6344883*u**3 + 2773737123*u**2 + 3190940073042*u.\nAnswer: -3*u*(u - 614)*(u + 1201)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 1. Let f(j) be the second derivative of 0*j**2 - 3*j - 1\/12*j**4 + 0 + 1\/3*j**3. Determine f(i) - 2*g(i).\nAnswer: -i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4117 by -10.\nAnswer: -4117\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -11086 to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1236.977 + 1236. Let s = -0.023 + f. Let x(k) = -k**2 + 6*k + 2. Let q be x(7). Which is the closest to 1? (a) -0.5 (b) q (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.5 + -0.5. Let d = x + 3.1. What is the nearest to 2\/3 in d, -2\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*g + 43*g = -16, -g - 176 = -3*j. What is the remainder when 953 is divided by j?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/5 - 2*b**3\/5 - 4*b**2\/5 + 2*b\/5 + 3\/5.\nAnswer: (b - 3)*(b - 1)*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9197561 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-30))\/((-12)\/18)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3156 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*w + 168 = -59*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 1\/8, 1302, -5646.\nAnswer: -5646, -4\/7, 1\/8, 1302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 2, x: 1, d: 1, v: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*a + 3, 0 = f - 2*a - 11. What is k in 3*k**3 - 5*k**3 + 15*k**4 - 121*k**5 - 15*k**2 + 126*k**f - 3*k**3 = 0?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 580651852 to the nearest integer?\nAnswer: 24097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/4))**(-1\/6)*(u**(2\/3))**(16\/7) assuming u is positive.\nAnswer: u**(83\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7819 + -7823. Let a(v) = -3*v**3 - 4*v**2 - v. Let z(k) = -7*k**3 - 9*k**2 - 2*k. Determine d*z(y) + 9*a(y).\nAnswer: y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -56, -1, 3, 1, -4, -158 in increasing order.\nAnswer: -158, -56, -4, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.16? (a) 2\/7 (b) 3\/29 (c) 32\/5 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*s + 10*s. Suppose u - 9 = -s*u. Solve 0 = -g + 3*f - 16, g - f = -u*g - 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, b: 3, g: 4, s: 9}. Give prob of picking 1 p and 1 b.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 j when four letters picked without replacement from hijhxxkxjjxhhnh.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1118)\/(-676)*1\/(-28)*5. Let i = n + 1\/104. What is the smallest value in -2\/17, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46980754?\nAnswer: 2, 29, 810013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -266*m + 69 - 69. Solve 19*d + 5 + 33 = m for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -301 + 321. Solve 0 = -0*b - 4*b - a, -2*b - 25 = 5*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -248, -853, -2054, -4055, -7060, -11273, -16898?\nAnswer: -24139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a hour in minutes?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 514.068 - 513. Round f to two decimal places.\nAnswer: 1.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 9 = 0, 2*l + 0*h - 3 = 3*h. Suppose -4*i = i. Suppose i*d - 162 = -3*d. Calculate the greatest common factor of l and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 10000\nAnswer: -9999.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1 - (-185 - -173)) + -2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1639 and 596?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in -869, -3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 5*s**2 + 2774220*s - 5548460 = 0.\nAnswer: -554846, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/3)\/x)**31\/(x**(2\/3))**(-1\/10) assuming x is positive.\nAnswer: x**(-258\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -235 divided by 59845.\nAnswer: -47\/11969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2020011112001 (base 3) in base 4?\nAnswer: -10201020103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -371 - 68 + 4399 = -360*y. Let k(c) = 66*c**2 - 2. Let t(u) = -330*u**2 + 11. Calculate y*k(l) - 2*t(l).\nAnswer: -66*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**5\/17 + 6366*q**4\/17 - 4340350*q**3\/17 + 17291426*q**2\/17 - 21587256*q\/17 + 8629816\/17 = 0.\nAnswer: 1, 2, 982, 2197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3923165 less than -0.032?\nAnswer: -3923165.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, p: 4, v: 1, u: 1}. Give prob of sequence gp.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.14 and 17.\nAnswer: 2.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.037 times 0.7\nAnswer: -0.0259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -199 + 118. Let g = j + 77. What is the closest to -2 in g, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 111*y**3 - 88*y**5 + 6 - 99*y**3 - y**2 + 90*y**5 + (-y**4 - 2 + 2)*(-4*y + 2*y + 3*y).\nAnswer: y**5 + 12*y**3 - y**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5515\/192 (b) 2 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/18 + 0)*-9. What is the third derivative of -2*y**i + 2*y**3 - 2*y**3 + 0*y**3 + 6*y**4 wrt y?\nAnswer: 144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2529 by -4.\nAnswer: 2529\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215*u - 114468 + 684863 = 0. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11d2 (base 14) to base 16\nAnswer: c34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*7\/4*(-6)\/(-21). Suppose g*p - 18 - 33 = 0. Let v(x) = -x**3 + 4*x**2 + 1. Calculate the remainder when p is divided by v(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 274 and 6?\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 2*y**2 - 10*y - 4. Let r(v) = 2*v**3 - 5*v**2 - 21*v - 9. Determine 14*c(q) - 6*r(q).\nAnswer: 2*q**3 + 2*q**2 - 14*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 87, 212, 327, 432, 527, 612, 687?\n\"Answer: -5*t**2 + 140*t - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -35*v**3 - 2*v**2 - 2*v - 1. Let x be n(-1). Suppose 0*q - x = -2*q. Suppose 2*w - q = 27. What is the remainder when w is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112867336 to the power of 1\/4, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 6730000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1473202833 rounded to four decimal places?\nAnswer: 0.1473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**2. Let f be w(-1). Is 6 a factor of (-1)\/2*(f + -26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-6*(sqrt(108) + sqrt(108)*2) + 2 + 3))**2 + -3.\nAnswer: -27000*sqrt(3) + 875422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/27 in -11\/17, 2\/7, -24\/7, -1\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419 is divided by 97.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence caaa when four letters picked without replacement from caaacc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11192430?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1651842*u**2 + 653168*u wrt u?\nAnswer: -3303684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10773801 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 80869.68ng in milligrams?\nAnswer: 0.08086968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 9. Find the second derivative of 11*b**3 - f*b**3 - b**4 - 6*b wrt b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**4 - r**4 - r**4)*(-247*r - 1215 + 1216 - 46*r).\nAnswer: -293*r**5 + r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 1 - (15 + -2) - (57 - 88).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -61 + 67 - (1 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 42*g**2 + 199*g - 179. What is h(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t + 2. Let q be z(-3). Let c be 9\/(-183)*3\/q. Let p = c + -5207\/976. Find the common denominator of p and 89\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and -2.956.\nAnswer: -3.456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-640)\/(-14) + 4 + (-4)\/(-14). Let d = o + -58. Let h be 2*(-129)\/(-6) + (-11 - d). Calculate the highest common factor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 339 divide 49494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 472797?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of 0*v + 1\/60*v**4 + 5*v**2 + 0 + 1\/150*v**5 - 2\/15*v**3. Factor w(l).\nAnswer: 2*(l - 1)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -351 by 39.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/9, -1\/2, -2\/373, -3, 2\/3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -150*t**5 + 130*t**4 - 134460*t wrt t?\nAnswer: -3000*t**3 + 1560*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o - 15*o = -58*o. Solve o = -2*x, 6 = 3*k - 2*x - 9 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/11 - 17944*a**2\/11 + 34770342*a\/11.\nAnswer: 2*a*(a - 6141)*(a - 2831)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 93468*x**2*z**4 - 10*x**2*z**2 - 87*x**2 + 2*x - 3462 with respect to z.\nAnswer: 373872*x**2*z**3 - 20*x**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 9*l - 5*l)*(-4 + 5 - 2 + (2 - 3 + 2)*(-1 + 2 - 2) + 3 - 1 - 4)*(-3 + 3 + 2).\nAnswer: 104*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 315 (b) -3\/4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*i - 28. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**2 + 6*a. Let l(d) = -2*d**2 - 7*d. Let g(x) = -7*c(x) - 6*l(x). Let j(z) = 3*z. Calculate g(j(h)).\nAnswer: -81*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -7?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1641828 to the nearest integer?\nAnswer: 1281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226232 is divided by 13967?\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 97406358463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*i + 676 - 544. Let d be 6\/5*90\/(-27). Suppose -5*j = -j + 12. Sort d, 0, i, j in increasing order.\nAnswer: i, d, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4*y**4\/7 - 16*y**3\/7 + 624*y**2\/7 - 2304*y\/7 = 0.\nAnswer: -16, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*y + 30*y + 0*y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/4 and 71\/434?\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.76 + -3.2. Let u = i - -0.97. Round u to 1 dp.\nAnswer: 5.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -49? (a) 20\/3 (b) -0.5 (c) -3\/4 (d) -130\/33 (e) 3 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4371 - -4373. Solve -g*i = 2*h - 10, -5*i - 6 = -4*h - 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -329 - -376. Let q = 114 - o. Suppose 2*h + 4*d - 38 = 0, -h = 3*d + 5 - 22. Calculate the remainder when q is divided by h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*x - 3*x**2 - 2*x**3 + 0*x + 7*x + 5*x**2 to the form z + y*x + t*x**3 + d*x**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -5*b + 10, n - 2 = 5*b - 6. Sort -3, n, -4 in descending order.\nAnswer: n, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(0 + -3)\/(-9). Let w(s) = -3*s**4 - 8*s**3 - 5*s**2 + 2*s. Let v(i) = -i**3 - i**2 + i. Let k(a) = p*w(a) + 2*v(a). Factor k(d).\nAnswer: 3*d**2*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00147460194 to 5 dps.\nAnswer: -0.00147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8641.809 millennia in years?\nAnswer: 8641809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-20)*(-8)\/9.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(sqrt(72)\/sqrt(72)) + 4)**2*3 + -2 + (-2 + -1*sqrt(20))**2 + 4.\nAnswer: 80*sqrt(5) + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-13)*((s\/(s**1*s))\/s)\/s*s\/s**(1\/22)*s**(2\/39) assuming s is positive.\nAnswer: s**(-12865\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19*q**3 - 11 + 11 - 9 wrt q?\nAnswer: -57*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - v**2 + v. Let a be r(-2). Suppose a*x = 4*x - 72. Calculate the greatest common factor of 4 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.5 + 0.4. Let k be (5\/20)\/((-845)\/(-52)). What is the closest to -1 in -2, k, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 3. Let q be (1 + (-19)\/(-3))*(-6)\/(-4). Let v(m) = 2*m - 33. Let c be v(18). Solve -2*p + q - c = -w, -t*p = -3*w - 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, v: 2, x: 1, a: 3, d: 7, f: 2}. Give prob of sequence daf.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-5)\/(-5))\/((-175)\/25)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -101, 68, -2, 2\/3?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3106 - 0 - (-75 + 80)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -551 divided by 173056?\nAnswer: -551\/173056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -4, 4, -106, 5?\nAnswer: -106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 604?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 11 = -t - 3*a, 9 = 2*t - a. Suppose 9 = t*s + 2*y - 5, 5*y - 20 = -5*s. Let h = -24.5 - -24. Sort h, s, -5 in ascending order.\nAnswer: -5, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 < -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/934446 and 115\/174.\nAnswer: 27098934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 7*o**2 - 12*o - 3. Let f be k(-2). Solve -2*z - f = 5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 8\/17, 0.12, -0.3?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44.9 + -328.9. Let a = b + 285.1. Let w = -0.2 - -0.3. Which is greater: w or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -185 - -187. Let u be ((-1)\/(-3))\/((-1)\/(7 - 31)). Let z(i) = i**3 - 3*i**2 - 3*i - 4. Let n be z(4). Sort q, u, n in descending order.\nAnswer: u, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/2324 and 37\/7?\nAnswer: 2324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.9, -2\/13, -6286.4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -19 (c) 0.1 (d) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2202 - 2?\nAnswer: 2200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 4*x**2 - 7*x - 14. Let c be z(-6). Let o = -37 - c. What is the remainder when 27 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 10.46498?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 560.027514 to the nearest 10.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -127 (b) 62886 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*s + 10*g - 7*g, 5*g = 5. Suppose 6*h - 32 = -s*h. Solve -4*b = -d + 1, -3*b = d + 3 - h for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 l, and 1 j when three letters picked without replacement from jlltjtjj.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -41\/1451 (b) 205 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 489437 rounded to the nearest ten thousand?\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -7678 (c) 2 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3228 + -3213 + (15 - 0)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 - -1114043?\nAnswer: 1114032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*s + 40 = -46*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -399 - -401. Let p be (2 + 0)\/((-1)\/1). Let t be (6\/(-4))\/(1\/p). Is w <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j. Let x(y) = 8*y**2 - 9*y + 3. What is 4*t(n) + x(n)?\nAnswer: 8*n**2 - n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 5*c + 0*c**5 + 8*c**4 + 0*c**2 - 6 - 13\/5*c**6 + 0*c**3. What is the third derivative of i(q) wrt q?\nAnswer: -1872*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22922619 to the nearest integer?\nAnswer: 4788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3*(-2)\/(-1))\/(18\/(-132)). Let t = 54 + u. Solve -2 = 4*z + t for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**2 + 2*q**4 - 1070*q - 3 - 1126*q + 2177*q as c*q + k*q**3 + b*q**4 + u*q**2 + d and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 - 32. Let t = -12.6 + i. Which is the nearest to 1\/3? (a) t (b) -4\/7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19066377 and 1221?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -2*q - 21 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 6806964?\nAnswer: 68069640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 124*c**2. Let v(s) = -279*s - 3. Determine v(j(y)).\nAnswer: -34596*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 217300 and -4.\nAnswer: -869200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1\/4 (b) 7 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 197652 by 14118.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5853719*s**3 + 13*s - 436007628 wrt s?\nAnswer: -17561157*s**2 + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*f + 2*f + 17*f)*((2*f - 4*f + 4*f)*(0 + 1 - 2) - 6*f - 3 + 3).\nAnswer: -96*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is dc + 8207a?\nAnswer: 82178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -4, 28, 96, 212?\nAnswer: 388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-3) + (-10)\/24. Let k(o) = -49*o - 444. Let p be k(-9). Which is the second smallest value? (a) p (b) -0.5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -8, -9, 1 in increasing order.\nAnswer: -9, -8, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 + 3 + 122874*u - 122874*u.\nAnswer: 2*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k - 6*k + 95 + 91 to n + q*k and give n.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (-4*12\/8)\/2. Which is the third biggest value? (a) 0.09 (b) g (c) 1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 420 - 9777 = 0. Calculate the highest common divisor of h and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(11)*-4 + (sqrt(396)*2 - sqrt(11)).\nAnswer: 31*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 3) + -4 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*5 - 3\/(-1). Let m(x) = -4*x**2 + x - 1. Let y(p) be the second derivative of -5\/6*p**3 + 5\/2*p**2 + 17\/12*p**4 + 0 + p. What is k*y(n) - 9*m(n)?\nAnswer: 2*n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 52, 126, 258, 466, 768, 1182?\nAnswer: 1726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -89183.00000036979 - -89183. Round s to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -59*w**6\/30 - 25*w**3\/6 - 103*w. What is the second derivative of j(s) wrt s?\nAnswer: -708*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 3*w + 13, -b - 2*w + 5 = -8. Let f be -3*1\/(-3)*5. Solve -b*u + 30 = f*k, -15 = k - 3*k - 5*u for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/4*48\/9. Let a be (y - 9)*1*2. What is the common denominator of 74\/3 and ((-4)\/(-10))\/(a\/(-16))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3864357216.\nAnswer: 2, 3, 89, 107, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -13*x - 7. Let m(y) = -27*y - 14. Let u(a) = -6*m(a) + 11*o(a). Let k(q) = 6*q + 2. Let c(b) = -7*k(b) + 2*u(b). Let g(i) = 5*i. What is g(c(p))?\nAnswer: -20*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-504)\/1680*(60\/(-27))\/4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -201002.77495 plus -3?\nAnswer: -201005.77495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 6*p - 33. Let x be i(8). Suppose 0 = -g + x*g - 2002. Let z = 304 - g. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 2.\nAnswer: -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 463.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*18*21\/(-1344)?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 15 = 4*m. What is the remainder when 41 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 8*v**2 + v - 3. Let s = 10 - 4. Let z be n(s). What is the highest common divisor of z and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 14, 288 in descending order.\nAnswer: 288, 14, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31030*s**6 + 44*s**4 + 5*s**3 + s**2 - 2*s - 7124130 wrt s?\nAnswer: 3723600*s**3 + 1056*s + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-2)*(1 - -1). Let w be (-2)\/(3\/((-15)\/2)). What is the derivative of 3 - h*a + w*a - 2 wrt a?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 1:36 PM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -4 + 57\/9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -69 - -71. What is q in q**4 + 14 + 48*q**j - 22 - 35*q**2 - 6*q**3 - 12*q + 12 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3 = 0, -3*a - 2*a = -2*b + 24. Let k be ((-16)\/(-10) - (-6)\/15) + 1116\/(-465). Sort a, -5, k, -3.\nAnswer: a, -5, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31.55 - 32. Let a = x - 2.55. Which is greater: 6 or a?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 509.811 and 0.01.\nAnswer: 5.09811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -295*n**4 + 135*n**3 - 2*n + 3377 wrt n?\nAnswer: -3540*n**2 + 810*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0432 + -0.03952. What is h rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/55 and 9\/20*3480\/144?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2. Let g(t) = t**2 - 4. What is g(a(n))?\nAnswer: 4*n**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 122 and 610.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 756 + -731. Calculate the common denominator of x\/15*-3 - (-1230)\/294 and 76\/105.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -67*f**3 + 8*f**2 - 23*f - 157. What is the units digit of t(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence quu when three letters picked without replacement from {q: 4, m: 7, u: 4}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 2*f**2 - 4*f - 2. Let r be z(-2). Let c(l) = l - 2. Let q be c(r). Let b = 13 + q. Calculate the highest common divisor of 5 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**2 - 4*k + 2. Suppose 2*b = -2*b + 36. Calculate the lowest common multiple of b\/2*(2 + 0) and x(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 5*f**2 - 11*f + 2. Calculate the remainder when a(-6) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2664 - 348?\nAnswer: -3123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 r, and 1 n when four letters picked without replacement from {n: 7, r: 3, k: 4}?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 + 11*h - 7. Let b be v(4). Suppose 0 = 8*i - 3 - b. What is the smallest common multiple of 20 and i?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2. Let m be 4 - 3 - 13\/(-13). Let a(v) = -81*v**2 + 141*v**m - 81*v**2. Determine t(a(b)).\nAnswer: -441*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1091*r - 16*r**2 + 14*r**2 + 4*r**2 + 26463*r.\nAnswer: 2*r**2 + 25372*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -230089670*a**3*o**2 - 982*a**2*o**2 - a**2 - 3*a*o**2 + 114*a*o + 5*o wrt a?\nAnswer: -1380538020*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5299838*q - 2649920*q - 2649914*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 18. Let k be (u\/(-9) - -1)*-3. List the prime factors of 1 + (k - (-38 - 0)).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4816, -19274, -43376, -77122?\nAnswer: -120512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0766207165 rounded to four decimal places?\nAnswer: 0.0766","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 6:26 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -45077 and -36.\nAnswer: 1622772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from yyyyyyyyykk?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3416510 and 364870.\nAnswer: 37581610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 386013 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8585940193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -339 divided by -3?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**4 + 8*p**3 + 61*p**2 - 3*p + 3. Let x(k) = -k**4 + k**3 + k**2 - k + 1. Let s(a) = m(a) - 3*x(a). What is the third derivative of s(g) wrt g?\nAnswer: 120*g + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 52*t - 48*t + 8 = 0, -t - 2 = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3515353463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3028, -3029, -3026, -3019, -3008?\nAnswer: -2993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-4)*1 - 18. Suppose -4*y + 2*m = -136, -3*y = -4*y - 5*m + 12. Let w = h + y. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -87 + 98. Solve 2*n + 5*z = -r, -3*n + 2 = 4*z + 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x = -2*i + 34, -4*x + 5*i - 22 = 4*i for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181 + 132 = 7*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1307, 1798, 2289?\nAnswer: 2780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**2 + 2844967*a - 5689930 = 0.\nAnswer: 2, 2844965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -2. Let u = -3 + q. Let k = u + 3.1. Which is the nearest to k? (a) -1\/4 (b) -1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(88) + -1*1*sqrt(88))\/(-2*sqrt(968)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 + n - 11 + 5 - n**2.\nAnswer: (n - 2)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from yonooonttnto.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/4 + 20\/(-16). Suppose -t + 5 = 3. Suppose 0*z - 5*z + 13 = -t*x, -4*x = -3*z + 19. Sort z, 4, y.\nAnswer: y, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 5*o**2 + 2*o - 2. Let j be p(-4). Let v be -24*((-3)\/j - 0). Calculate the highest common factor of 96 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39291?\nAnswer: 3, 7, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 8:27 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5bbc0 (base 14) to base 7.\nAnswer: 1623530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2809\/5 + 562. Suppose -32 = -5*y + 13*y. Put y, 0, -90, a in increasing order.\nAnswer: -90, y, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 914604 to the nearest integer?\nAnswer: 956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d**4 + d**4 - 2*d**4 - 9*d**4 - 10*d**4 + 10*d**4 + (-2 - 4 + 4)*(-d**4 + 2*d**3 - 2*d**3) in the form t*d**3 + b*d**2 + h*d + v*d**4 + j and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/1173984 and 43\/8735?\nAnswer: 5869920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -3 = -84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24548 + 311*h**3 - 24548 + 4*h**2)*(-h**2 + 6*h**2 - 2*h**2).\nAnswer: 933*h**5 + 12*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1930.7670862 to the nearest ten.\nAnswer: -1930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 3*p**2 + 2*p + 2. Determine g(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/10 and -121\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7*-126\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 135 = -4*m. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5 - 14 = 0, c + f - 219 = 0. Suppose c = 4*q - 6. Suppose 4*x = x + q. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 1. Let z be (-2)\/((p\/(-10))\/2). Solve 3*h + 20 = -4*f, z = -h - 0*h - 3*f for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 272.471? (a) 3 (b) 2\/39 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.664 + 5.764. What is the nearest to j in 0.3, 18, 4\/3, 0.7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 10:20 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -2*o**6\/3 + o**4\/4 - 63*o**3 + o**2\/2 + 185. Find the third derivative of q(m) wrt m.\nAnswer: -240*m**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5227518251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/15 - 44\/(-10). Put 5, r, 1 in decreasing order.\nAnswer: 5, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 14*o**3 + 7*o**2 + 5*o + 5. Let v(f) = 7*f**3 + 3*f**2 + 2*f + 2. Let m(g) = -2*h(g) + 5*v(g). Determine m(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + -17)\/(1 + 0). Let u be (-20)\/6*21\/o. Suppose 2*v = 5*h + 25, -20 = u*h - h - v. Sort -16, 4, h, 5 in descending order.\nAnswer: 5, 4, h, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 25*s**2 + 24*s + 1. What is b(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.45271 - -11114403.\nAnswer: 11114403.45271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 554*b + 543*b - 984*b + 0 + 0 + b + 5 - 5 - 2*b + (b - 3*b + 0*b)*(2 - 1 + 0) + 0*b - 2*b + b.\nAnswer: 109*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 46\/21, 3\/2, 0, -1?\nAnswer: 46\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 120522 (base 6) to base 11\nAnswer: 7a32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**4 - 1666*g**3 - 413922*g**2 - 27718894*g - 494957036 = 0. What is g?\nAnswer: -371, -62, -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -191*a**5*z - 5*a**2 - 355*a*z + 2*a - 2*z wrt a?\nAnswer: -3820*a**3*z - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 364654, 365376, 366098, 366820, 367542, 368264?\nAnswer: 368986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 7:35 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 c when two letters picked without replacement from cpsossm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 69670.29 months?\nAnswer: 5.8058575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**2 - 6*b + 57. What is the remainder when 119 is divided by w(4)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*z + z. Suppose -z*o + 5*h - 26 = 0, 5*o = -4*h - 19 + 7. Let s be 98\/8 + 1\/o. Calculate the highest common divisor of 24 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -308, -1111, -2686, -5291, -9184, -14623?\nAnswer: -21866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or -3600388?\nAnswer: -3600388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t = z - 25, 12*z - 3*t + 22639 = 17*z + 22588 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-744*w - 226*w - 105*w - 1007*w)*(-2 + 2*w + 2) in the form o*w + q + k*w**2 and give k.\nAnswer: -4164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/4)\/((8\/(-4))\/16). Sort 4, -4, j, -5 in decreasing order.\nAnswer: j, 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 26\/5 of a milligram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kxx when three letters picked without replacement from {u: 7, i: 4, k: 1, b: 4, x: 3}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m**3 + 5*m**2 - 8*m - 2. Let i(h) = 5*h**3 - 10*h**2 + 15*h + 5. Let v(p) = 4*i(p) + 7*j(p). Suppose -y - 7 + 2 = 0. What is v(y)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 228, 0.4, 5\/11, 0.2, -0.5 in decreasing order.\nAnswer: 228, 5\/11, 0.4, 0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 413, 1068, 1713, 2342, 2949, 3528, 4073?\n\"Answer: -k**3 + k**2 + 659*k - 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182366.\nAnswer: 2, 91183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c - 289*c**5 + 326*c**5 + 8*c wrt c?\nAnswer: 740*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.277 - 0.077. Which is the nearest to -1\/4? (a) 0.4 (b) -1\/3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -61561.\nAnswer: -123122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/13090 and -103\/4420.\nAnswer: 340340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -13 + 9 + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 21 + 15)*(l**4 + 2*l**3 - 2*l**3) + l**4 - 2*l**4 - l**4.\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*a + 75*a + 192 = 46*a. What is the highest common factor of 1266 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28 - 24 - 14) + -9?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 211542 divided by 105771?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*p = 16*p - 54. Suppose 5*h + 15 = 60. Let a = p + h. Solve 4*s - 5*b = 41, -s + 4*b = -a*s - 24 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - -1. Suppose 128 = -8*t + z*t. Let r = 74 - t. Solve 2*y + r = 4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*m = -p - 22, -5*p - 4*m - 81 = 0. Let k be 1*-1 - (p - -11). Solve -o - 3*c + 5 = -k*c, -5*o = c - 14 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -551.94 - -8.94. Let x = 543.0000227 + f. Round x to 6 dps.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8392 (base 13) to base 2.\nAnswer: -100011100011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2 = 0, -5*j = -5*i + 109 - 319. Let o = -38 + j. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*t - 4*p = -389, -3*t + 373 = -4*p. Suppose t - 97 = 6*n. Solve 0*z - 10 = -n*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 7 = -4*l, 3*l + 2 = -b + 11. Let x(g) = -7*g**2 + 2*g**2 + 3*g**l. Let i(w) = 3*w + 2*w - 4*w. Give x(i(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-282)\/(-90)) + 4664\/330\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -9, -5, 53530 in increasing order.\nAnswer: -9, -5, 26, 53530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6454599?\nAnswer: 3, 2151533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -250 - -418. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 229157619?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -167 + 169. Let j(g) = g**3 - 3*g**2 + g + 4. Calculate j(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 45965 or 137896\/3?\nAnswer: 137896\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r*r\/((r\/r**(-2\/7))\/r)*r*r)\/r*r**5*(r*r**0\/r*r)**(2\/9))**(-2\/101))**(9\/5) assuming r is positive.\nAnswer: r**(-1126\/3535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 2 + 1*(0 - -1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 - (1 - 2 - -1) is divided by (-3)\/(-6 - 243\/(-42)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -66\/19? (a) -1 (b) -1\/4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - 4*2\/(-4). Suppose -z*j - j = 0. Suppose -4*r + j*r = -32. Calculate the remainder when 31 is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 6*v**2 + 3*v - 2. What is the lowest common multiple of u(-4) and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvkk when four letters picked without replacement from pvkkpzppkzv.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 - 5*p + 1. Suppose 266 - 90 = 22*u. Give w(u).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5904 in -1, -0.1, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 10*m - 914. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/30 and -79\/468.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 4*y**2 - 7. Let f be s(3). Suppose 0 = f*u + 4 - 14. Suppose 2*q + 3*q - m - 248 = 0, -u*m - 90 = -2*q. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/(-45))\/(11\/(-55)). Suppose -4*v - 3*f = -16, 2*v + 3*v + 2*f - 20 = 0. Let u = g + v. Solve -2*o - u*x + 8 = 0, -3*o - 4*x = -7 - 5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**4 + 30205792*v**3 - 90617400*v**2 + 90617408*v - 30205804.\nAnswer: 4*(v - 1)**3*(v + 7551451)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 1607*j + 2199. List the prime factors of h(28).\nAnswer: 5, 9439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -2)\/(3\/12). Let v = -638 + 649. Suppose 0 = 2*d + 5*x - v, -2*x = -2*d + 5*d. Put d, 2, f, 1 in descending order.\nAnswer: 2, 1, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 207, 2\/13, 4568, 0.1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.055695 + 0.021326. What is v rounded to three dps?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-196 - 85 + 48)*(4*v - 5*v + 0*v) + 2*v - 1 + 1 + (-3 + 0 + 5)*(2*v - 2*v + 2*v) + 1 - v - 1)*(-3*v**4 + v**4 + 5*v**4) + 2*v**5 - 1 + 1.\nAnswer: 716*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 839682101.\nAnswer: 839682101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1341969 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 3. Let h = -15 + 18. What is the least common multiple of k and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a factor of 205524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -4*b**3\/3 - 9*b**2\/2 - 9*b - 2005. Calculate u(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10.2 + -10.1688. What is b rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**4 - 106*m**3 + 840*m**2 - 72*m - 4320 = 0.\nAnswer: -60, -2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 2142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b*q**3*w - b*q**2*w + 21*b*q*w + 5*b*q - b*w + 65*q**2*w wrt q?\nAnswer: -6*b*q*w - 2*b*w + 130*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 273198*x + 261450 wrt x?\nAnswer: 273198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(1584) + sqrt(1584) + 0 + 0)*4)**2.\nAnswer: 101376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 3*q + 56*q - 94 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a = 3*a - 4*k, k + 15 = -4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1aba4c (base 13) in base 9?\nAnswer: -1250583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u**2 + 8*u + 50. Let v be i(4). Solve 6*h + 0*h - v = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 6*i**2 - 5*i + 5. Let r(v) = -v**2. Let a(z) = -5*z**2 - z + 1. Let c(f) = -a(f) + 6*r(f). Calculate 5*c(d) + q(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1016880 divided by -570.\nAnswer: -1784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzazaaazzaz. Give prob of picking 3 z and 1 a.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 90810 to the power of 1\/2, to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/7208 and 37\/25176.\nAnswer: 22683576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4387587837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -471 + -4?\nAnswer: -475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1628310 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f, -55 = -5*v + 5*f - 3*f. Suppose -2*t = 2*l - 82, 10 - 150 = -4*t + 2*l. Suppose -5*x = 4*o - t, 3*o + 0 - 30 = -4*x. Is v smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 15*h**2 - 6*h - 5. Calculate the remainder when i(-15) is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 + 2*y + 5. What is the remainder when 82 is divided by j(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -10 + 0*v + 22 + 3*v**2 - v - 10. Let b be h(1). Solve -4*c + b*k - 3*k = 0, 0 = 4*c + k for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4824 is divided by 58.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -282 - -48?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.7263 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 204*k - 25899. What is c(127)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 (base 11) in base 14?\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*-1 - (10 - 17). Calculate the highest common factor of 188 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 20*p**3 - 282*p**2 - 624*p + 256. What is b(16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/42)\/(17\/102)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by -34429.\nAnswer: -19\/34429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*c - 216 = 162. Solve 2*l + 14 - 10 = 2*z, 0 = 3*l + c for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -u**3\/6 + 15*u**2\/2 - 3*u. Suppose 0 = 136*k - 139*k, 5*b - 5*k - 35 = 0. Give l(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -6.3. Let q = 10 - 6. Let c be 2\/q - (2 - 2). What is the closest to c in -0.5, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 21*d. Let y(o) = 177*o**2 - 42*o**2 - 129*o**2 + 2*o. Determine y(f(a)).\nAnswer: 2646*a**2 + 42*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20 - 0)*6\/(-10). Let i = 29 - k. Calculate the remainder when i is divided by (-8)\/6*30\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -4*h + 8 + 224, -2*d + 3*h = -136. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3132 (base 6) in base 14?\nAnswer: -384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 6 (c) -44 (d) 0.2 (e) -0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 12) to base 8.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 14) to base 10\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 4567224.\nAnswer: 31970568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 - 96*z**2 + 768*z.\nAnswer: 3*z*(z - 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11435 - -11438. Let j(l) = -5*l**3 + 8*l**2 - 5*l. Suppose 0 = 5*t - 0*t - 15. Let g(x) = 3*x**2 + x**3 - t*x**3 - 5*x + 3*x. What is c*j(i) - 8*g(i)?\nAnswer: i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -5.7.\nAnswer: 2.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25.68 - 15.25. Let t = y - 0.43. Let o = t + -8. What is the nearest to o in 0.1, -2\/7, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33893701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16655245 is divided by 1850573.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 275 + 267, -3*x = i - 78. Calculate the highest common divisor of 420 and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15.4 + -15.3999802. What is d rounded to six dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130024631 divided by 38503.\nAnswer: 3377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - -6 - (4 + -2). Solve -x = w*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 45.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1605\/(-315) - -5)*14. Which is the fourth smallest value? (a) -44 (b) -0.3 (c) -2\/13 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2226171*b**2 - 1 + 2226171*b**2 + 576*b**3 + 0.\nAnswer: 576*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97626 is divided by 24369.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**3 + 4*s**2 - 9*s - 42. Give t(-3).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -2*f - 18, 4*w + 4*f = 2 + 2 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 1901*z**2 - 3*z - 1. Let d(q) = -1900*q**2 + 4*q + 1. Calculate -3*d(l) - 4*n(l).\nAnswer: -1904*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (99\/(-2024) - (-1)\/(-8))\/2.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -94*v + 96*v + 6, 4*t - 2*v = 14 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*d + 12*d + 24 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19107.\nAnswer: 3, 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*x**2 - 14 - 26 - 2 with respect to x.\nAnswer: 26*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84707 + 61557 = 3898*x - 64228 for x.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 48\/(-170) + (-12)\/102. What is the biggest value in 3\/2, -13, d?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1375249, 1375146, 1375033, 1374904, 1374753, 1374574, 1374361?\n\"Answer: -p**3 + p**2 - 99*p + 1375348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2028407*b**2*i - 2*b*i - 4722*b + 3*i + 1 wrt b?\nAnswer: -4056814*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 2880\nAnswer: 5760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o**2*r - 56197*o**2 + 20*o*r - 1054*r wrt o.\nAnswer: 4*r - 112394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2183 - 247*i + 2183.\nAnswer: -247*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/130 and 3\/2665?\nAnswer: 5330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/3*2*(-9)\/6. Suppose -4 + 4*n**3 + 8*n**2 - 2*n**4 - r - 2 - 4*n + 1 = 0. What is n?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/(-2))\/(6\/(-120)*-10)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a - 9*a + 432. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 104.48 - 105.88. Which is the second smallest value? (a) 0.13 (b) h (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 28*u + 1084. Calculate j(-39).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*b = 28. Let v be 1650\/242 + b\/(-1). Sort -3, 1\/3, v, 1\/5 in decreasing order.\nAnswer: 1\/3, 1\/5, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77329 is divided by 3859?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/4? (a) 173 (b) -1774 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b - 152 = -52. Let m = 809 + b. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -21*l. Let w(m) be the second derivative of 7*m**5\/120 + 10*m**3\/3 + 3*m**2\/2 - 114*m. Let c(d) be the second derivative of w(d). Determine c(p(k)).\nAnswer: -147*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 10*b**2 + 15*b - 16. Calculate g(-11).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2680?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2464, -2158, -1840, -1510, -1168, -814, -448?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + k**2 - 196*k - 24 - 11.\nAnswer: k**2 - 196*k - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006076374868 rounded to 5 dps?\nAnswer: 0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2157143 divided by 6?\nAnswer: 2157143\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*(4\/8)\/((-4)\/8). Suppose v = 3*f - 5*f + 126. What is the remainder when 314 is divided by f?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -270 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-46)\/2)\/((56\/(-784))\/((-2)\/14))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = s + 1, -4*p - 16 = -13*s + 8*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.8 - -3.1. Which is the second biggest value? (a) -0.32 (b) i (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208 = 8112*v - 8085*v - 278 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 26568, 53143, 79726, 106317, 132916?\n\"Answer: 4*a**2 + 26563*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3461.000003987 - -3461. What is l rounded to seven dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 54*d**3 + 4*d**2 - 2*d - 1. What is b(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37 by 226.\nAnswer: 37\/226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*r**2 - 17*r**3 - 22*r**2.\nAnswer: -17*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v**5\/2 + 361*v**4 - 15631*v**3\/2 - 10336*v**2 + 49038*v = 0. Calculate v.\nAnswer: -743, -3, 0, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-637)\/(-127) - (106 + (-17170)\/170).\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -8. Suppose -2*a - 4*k = -26, 0*a - k = 3*a - 44. Let g = a - -10. Calculate the greatest common factor of b and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -20, 2, 117?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14504.4 + -14503. Which is the nearest to s? (a) -5 (b) -4 (c) -2 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3*s - 1086 = 0, -2*y + 4*s + 345 = -373. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 4)*(-160)\/(240\/15)*(-14)\/(-21).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 20648, 41844, 63042, 84242?\n\"Answer: p**2 + 21193*p - 546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 90\/(-5) - (-3 - 1). Let s be (3 - z\/(-8))*4. Suppose -o = -0 - 1, 2*b - s*o - 73 = 0. Does 12 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001986927 to five decimal places.\nAnswer: -0.00199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-29 - -6) + 18 - -8. Solve g*z - 5*z = 3*n + 3, 4*z + 1 = -n for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 197*n - 14909. Determine x(58).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 18895.3769?\nAnswer: -5668.61307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three eighths of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 225286557\/280 - 804585. Let c = 36\/35 + z. Calculate the common denominator of c and -113\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 32*v**2 + 1 - 5 + 36*v**2.\nAnswer: 4*v**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 - -222?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3882, -15895, -35916, -63945, -99982, -144027?\n\"Answer: -4004*g**2 - g + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 0 + (1 - 2 - 4)*(-4 - 2 + 5))*(-7 + 35 + 18 + (0 + 0 - 1)*(1 + 1 - 1))*(2*c - c + c) to g + l*c and give l.\nAnswer: 540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 5*y + 17. Let v be w(12). Let r = -87 - v. Is r a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -4*j - 17 - 3, 5*j + 4*z + 7 = 0. Let t = 5 + j. Suppose 2*u**t + 2 + 4*u + 0 - 3*u - u**3 - 4 = 0. Calculate u.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -12. Suppose 4*s - 16 = -o*r, -2*s + 14 = -5*s + 5*r. What is the second derivative of -s*p**2 + 6*p**2 + 2*p + 2*p wrt p?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 171 + -109. Let y be (h\/(-10) + 6)\/3. Which is the second smallest value? (a) 0 (b) -3\/5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 135*a**3*n - 2*a**3*x - 11*a**3 - a**2*x + 258*a*n*x + 3 wrt a.\nAnswer: 810*n - 12*x - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 2)*((-3)\/(-1))\/(-54)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35675 - 8366. What is the thousands digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + c - 1. Let g = 0 + -2. Let s(n) = n**2 + 10*n**2 - 23*n + 5*n - 8*n**2 + 18. Let f(z) = g*d(z) + s(z). Determine t, given that f(t) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 53, -32, 4, 1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x - 53422 + 16957 = 0. What is the thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 531561 is divided by 151.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 1659*k - 1547832. What is z(933)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -d + 2*d**3 - 3*d**3 + 0*d**3 + 4*d**4 - 4 - 3*d**4 in the form q + k*d + u*d**4 + n*d**2 + w*d**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9032?\nAnswer: 2, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 12:53 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -717820 to the nearest 10000.\nAnswer: -720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 1:39 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 46*r - 4*r + 103*r - 4*r + r + r + (r - 6*r + 3*r)*(1 + 5 - 5) + 2 - 2 - 4*r + 3*r + 6 - 6.\nAnswer: 140*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6512*k**2*t**3 - k**2*t + 2*k*t**3 - 2*k*t**2 - 54477*k wrt k.\nAnswer: 13024*t**3 - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus -0.29746705?\nAnswer: 2.70253295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(560) - sqrt(560)*2)*-6)\/(-4*-6*2*sqrt(7)*-3).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 2.6. Let l = g + 0.3. What is the third smallest value in -0.5, l, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 554, 1843, 4356, 8501?\nAnswer: 14686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 107619278 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4436757 to the power of 1\/2, to the nearest integer?\nAnswer: 2106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -882 = 43969*f - 43903*f - 4050 for f.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 3*a. Let p be (26\/(-390))\/(15\/50)*3\/(-2). Which is bigger: p or a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10337632 and 70495.\nAnswer: 1188827680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-1 - -91) - -6. Which is smaller: r or -335\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 218, -0.04378, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18576*p*x + 14*x + 741 wrt p.\nAnswer: -18576*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2416, -2426, -2438, -2452, -2468?\nAnswer: -2486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-3) - -1) + 2. Let f = k + 2. Suppose -f*b = -3*a + 48, 4*a + 26 = 3*b + 92. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 154 * -26\nAnswer: -4004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13\/223 - -931\/669. Put 1, -1.5, g, -0.54, 2 in decreasing order.\nAnswer: 2, g, 1, -0.54, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7 - -0.3. Let t be -3*(5 + -19)*(-7)\/2. Let u = -169 - t. Which is smaller: u or m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*h - 2*h**3 + 2*h**4 + 11*h - 23*h + 3*h**2 to q*h**3 + p + b*h**4 + u*h**2 + o*h and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 4*h + 95 + 6 = 0, 6*x - 15 = -h + 19 - 16 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 190+2305.6884367\nAnswer: 2495.6884367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (57\/133)\/(0 - -1)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3*(-1 - -7 - (-39 + -84))?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 13 (b) -1 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (1 - -3) + -3 + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 181*y - 337*y - 1102*y in the form z + o*y and give o.\nAnswer: -1258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**5\/3 - 6250*y**4 + 1548356*y**3 - 281644808*y**2\/3 - 95436208*y = 0.\nAnswer: -9618, -1, 0, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 126034540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyq when three letters picked without replacement from {h: 1, q: 3, y: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2032201 a multiple of 263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14287.482 rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -30*j - 197. Let w(n) = -28*n - 218. Let b(d) = 7*q(d) - 6*w(d). What is b(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20 and 76841.7.\nAnswer: 1536834","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -1215*f**4\/4 - f**3 + 5*f**2 + 11*f + 3. Is a(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 209 - 208.999726. Round m to five decimal places.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 141 - 42. Calculate the highest common divisor of 9 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 5 - (-1 - 12).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/2 of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -207 - -213. Solve -q*j + 4*j = 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -1\/2*o**2 + 0*o**3 + 0 - 2*o - 1\/300*o**6 + 0*o**4 + 1\/150*o**5. Let j(v) be the first derivative of l(v). Factor j(p).\nAnswer: -2*p**2*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 802063096?\nAnswer: 2, 6793, 14759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -627 * -38.774.\nAnswer: 24311.298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4 + 3 = 5*w, -5*w - 5 = -5*x. Suppose -2*z = 3*z + 2*y - 236, -2*y - 100 = -2*z. Suppose w*q = -q + z. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = -0*x + 24. Suppose -x*h + y + 144 = 0, 6*h - 3*h = -3*y + 108. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**4 + 2*k**4 - 4*k**4 + 60*k**4 + 142*k**4 - 339*k**4 + (2 + 2*k - 2)*(-4*k**3 + 2*k**3 + k**3) + 0*k**2 + k**4 + 0*k**2.\nAnswer: -140*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22441 or -23312?\nAnswer: -22441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2586325, 5172637, 7758941, 10345237, 12931525?\nAnswer: 15517805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -942 - 1606. Let u be -38*(-102 + -1)*1. Let f = g + u. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136416, 545697, 1227832, 2182821?\nAnswer: 3410664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-134)\/4*(31 - 57). Let n = g + 118. Suppose -2*o + o = -n. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.026 - -0.026014. What is y rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-2))\/(18\/27). Let v(y) = -2*y + 12. Let b be v(u). Suppose -5*p + 25 = 0, -3*s = -2*p + b*p - 8453. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 9 = -2*t - 13, -2*z + 4*t - 4 = 0. Let n = 8 + z. Solve 0 = 3*c - 5*j - 15, -n*c + 10 = -4*j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 (base 9) in base 2?\nAnswer: 111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + s**2 - s + 1. Let q = -269 - -198. Let v = 68 + q. Let f(c) = 5*c**3 - 2*c**2 + 3*c - 2. What is v*l(a) - f(a)?\nAnswer: -2*a**3 - a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 23*g**2 + 24*g + 7. Let a be c(24). Let u be 8 - (-4 + 3 + 1 + -1). Which is smaller: u or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*k)*(-3*k + 0*k + 2*k) - 3*k**2 + 4*k**2 + 0*k**2 + (-2 + 2 + 2*k)*(-18*k + 15*k + 119*k).\nAnswer: 231*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -972, 2\/9, 3 in descending order.\nAnswer: 3, 2\/9, -972","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 + 2*n - 27. Let l be g(-5). Find the second derivative of 199*v**2 - 23 + 315*v + 46*v**2 + 36 - l wrt v.\nAnswer: 490","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 824 - 532. Does 45 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from {w: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 434815 and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m**2*y + 1012*m**2 + 36*m*y**2 with respect to y.\nAnswer: -m**2 + 72*m*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2)*(-2 + k + 2) - 2*k + 1 - 1 + (0 + 4 - 2)*(-3*k + 2*k - k) + 2 - 2*k - 2 - k - 4*k + 3*k + 2*k + 0 - 2 + 0.\nAnswer: -6*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 12*r - 2. Let i be w(-8). Calculate the greatest common divisor of 45 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/14*(891\/162)\/(12\/(-8))\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-7))\/(t*t\/t**(-1)))\/(t*t\/t**(-1\/3))**41 assuming t is positive.\nAnswer: t**(-272\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -82\/11121 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-120)\/(-25))\/6*(65 - (-7 + 7))\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -5*w + 59 + 26, -2*w + 4*b + 34 = 0. Let m be (w - 2)\/(-3 + (0 - -6)). Sort m, 1\/4, 2 in descending order.\nAnswer: m, 2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-10))\/(210\/125*15\/3).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -409 + 3100?\nAnswer: 2691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3483691709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 4*u = 55, 3*q - 30 = 7*q - 2*q - 5*u - 75 for q.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**5)**(1\/6))**10 assuming s is positive.\nAnswer: s**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*i**2 - 12*i**2 + 2*i**3 + 2113 - 55*i**2 - 11*i.\nAnswer: 2*i**3 - 11*i + 2113","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 + -82 - (-71 - -6).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130, -273, -292, -49, 594?\nAnswer: 1775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -429570, -429559, -429546, -429531, -429514?\nAnswer: -429495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1424 and 4336?\nAnswer: 385904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.11 + 0.51. Let x = a + 0. Suppose 0 = 5*j - j + 20. Put j, 2\/3, x in descending order.\nAnswer: 2\/3, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -10*b - 83. Let a be s(-10). Suppose -4*r + 3*w - 119 = -125, -a = -5*r - w. Factor 0 + 3\/4*j**4 + 1\/2*j - 1\/4*j**2 - j**r.\nAnswer: j*(j - 1)**2*(3*j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/48)\/((-1)\/(-4))*(21 + 5).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/5)\/(21\/105). Suppose 5*k = -5*y + 35, y + 28 = 2*k + o*k. What is the remainder when k is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2476.2028 - 2475. Let z = o - 0.6381. What is z rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5*j = 3*c - 23, 2*c + 4*j + 24 = 0. Let d = -67 - -92. Let r = -29 + d. Which is greater: c or r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 13, t: 3, e: 2}. What is prob of picking 1 f and 1 e?\nAnswer: 26\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) -4519 (c) 3 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -88a (base 11) to base 2\nAnswer: -10000101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 8*q**2 + 4*q - 2. Let i be x(5). Let p = i - -117. Calculate the highest common factor of 24 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*m**2 - 74 + 39 + 35 to j*m + b + u*m**2 and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/27))**18*((x*x**(-3\/26))\/x)\/x*x\/((x*x*x**(-12)*x*x*x*x*x)\/x) assuming x is positive.\nAnswer: x**(355\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 156 + -153. Let c(f) be the second derivative of 1\/6*f**r - 2*f**2 - 3*f + 0. Differentiate c(z) with respect to z.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -d**6\/18 - d**5\/60 + d**4\/8 + 3*d**2. Let r(l) be the second derivative of o(l). What are the prime factors of r(-1)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = q + 7. Suppose q + 13 = s - 5*w, -4*w = -4*s + 32. Put 4, s, -4 in increasing order.\nAnswer: -4, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dr when two letters picked without replacement from dowtwer?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.6 and -5079620256324?\nAnswer: 5079620256326.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 4:43 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.71299 + 0.21134. What is y rounded to 3 dps?\nAnswer: -0.502","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 + 22?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 less than -6408369921?\nAnswer: -6408369879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79152?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 5 - 5*v + 4)*(-7*v**2 - 32*v**2 + 19*v**2) as g + h*v**2 + p*v + r*v**3 and give h.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**5\/3 - 248*q**4 + 494*q**3 - 740*q**2\/3 = 0 for q.\nAnswer: 0, 1, 370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 9*p**2 + 7*p - 5. Is 2 a factor of g(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6944536.484 to the nearest one hundred.\nAnswer: -6944500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 9:30 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -4149?\nAnswer: -4147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*h - 16 = -16*h - 19*h + 49*h, -12 = -4*v - 7*h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 5*c**2 + 42*c - 12. What is the remainder when r(-6) is divided by 37?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (t - 2 + 5 - 5)*(2 + 1 + 3 + (-4 + 5 + 1)*(3 - 2 - 3)) in the form i*t + f and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1213200332 (base 4) to base 12\nAnswer: 185452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00138343 rounded to 5 decimal places?\nAnswer: 0.00138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 5)*(-5 - u + 5 - 2*u - u + 2*u + (1 - 1 - 2*u)*(2 + 0 - 1)).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -44139 and -44142 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 3*i + 9. Let s be (-13)\/(-39)*(-42)\/2. Let d be q(s). Is 37 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 243 - 51 + 181 - 2*k - 72*k**2 wrt k?\nAnswer: -144*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4021512 and 2.4?\nAnswer: -9651628.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 5. Suppose 3*y - 2*w = -5, 2*y - 4*w = -l + 2. What is the remainder when 63 is divided by 2\/y*96\/(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4323*h**3*y**3 + 2*h**3*y**2 + 2*h**3*y + 4*h**2*y**2 + h**2*y - 30*h*y**3 - 26188 wrt y.\nAnswer: -25938*h**3 - 180*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-41 - 0)*-1 - 1. Let j = n - 23. Calculate the greatest common divisor of j and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140840551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -1. Let l = n + 2. What is the biggest value in -2\/11, l, -2\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -342 + 607. What is the highest common divisor of 5 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(4 + 13\/(-2))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 + 21 + -3 + 159*11 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2 + 13*g**2 + g - 11*g**2 + 2 wrt g.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - -16. Let t = -12 - -15. Suppose -t*k + 141 + u = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42*(-37 - 34408\/(-924)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 2:14 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 23\/161 - 853\/(-7). Suppose -p + 2*o + n = -o, -3*p = -5*o - 370. Suppose 8*t = 59 + p. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2097359 is divided by 120.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(216) + (sqrt(216) - (sqrt(216) - sqrt(216)*-1)))*1 + sqrt(216))\/sqrt(12))\/(sqrt(63)\/(-3*sqrt(7)) - (sqrt(72) + sqrt(72)*-3)\/sqrt(8)).\nAnswer: -12*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t + 1. Let u(j) = j + 2. Give -4*u(f) + 6*v(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 12:01 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, l: 4, u: 1, w: 8}. Give prob of sequence nlu.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25.952 - 0.048. Let j = -48 - w. Let q = -22.0034 - j. What is q rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/4 - (-99)\/(-108))\/((-20)\/240). Suppose 0*k = -k + 88. Calculate the highest common factor of k and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44326 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = o - 2. Let s(n) = -n + 4. Let c be s(o). Is 13 a factor of 26*(0 + c\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 8 = 3*o. Sort 1, -5, o in decreasing order.\nAnswer: 1, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 135 and 6173385.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31379 = -9*c + 4414. What is the hundreds digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 478 = -5*g + 4*g, g - 5*y - 479 = 0. Suppose 5*k = -a + 252, 4*k = -3*a + a + g. Suppose 0 = -5*o + a + 13. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/5 less than 457828\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 25844498369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*u + 27 = 394*u - 169*u - 209 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -697 - -693. What is the fourth biggest value in 2, 80, o, 3\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/15)\/((-1)\/(-9)). Let x be w\/(-6)*-10*-1. Let s(r) = -r**2 + 6*r - 4. Let d be s(x). Calculate the greatest common factor of d and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*w + 1. Suppose -1 = 3*a + w. Suppose -2 = 4*g + 6. Which is smaller: g or a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 10)\/(2 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -2, 1\/180166, 1, -4?\nAnswer: 1\/180166","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/(1445\/(-51) - -30)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 8, 17, 28, 41, 56, 73?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 + (-30)\/(-6) - 4 - 782. Let w = n - -3936\/5. Suppose -w + 14\/5*j**2 + 26\/5*j**3 + 19\/5*j**4 + 1\/5*j + j**5 = 0. What is j?\nAnswer: -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**0)\/z**(-1\/3))**(3\/2)*(((z*z**(2\/7))\/z*z)\/z**(-2\/13))\/((z\/z**(-1\/6))\/z**(-6)) assuming z is positive.\nAnswer: z**(-2035\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-102)\/(((1 + -4)*-1)\/(30 + 6270\/(-220)))\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 12. Let h = 0 + x. Let v be (-3)\/(3*(-1)\/h). Solve -s + 3*s = -v for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 0*y + 8 = -0*y, 0 = -5*m + 4*y - 17 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h + 13. Let s be r(8). Suppose -s*k + 4 + 6 = 0. What is the tens digit of 16 + -1 - k\/(-8)*0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61517*k + 52440 = 60377*k for k.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - 0) + -10 + -2 + 9.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 - 3*u**3 + 0*u**3)*(2 + 0 + 2)*(-u - u + 0*u) + (0*u**2 + 0*u**2 + 2*u**2)*(0*u**2 - u**2 + 0*u**2).\nAnswer: 30*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - -14. Let t = r - 28.9. Which is the second smallest value? (a) -1\/3 (b) t (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9980216.\nAnswer: 2, 1247527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*k**3 - 231250*k + 231250*k.\nAnswer: 93*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + -120 + 4 + 2. Is j bigger than -118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2160874950.\nAnswer: 2, 3, 5, 13, 653, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.014 - 5.97. Let r = -1 + 2. Let p = r + l. What is p rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/27)\/((-2)\/6)*1. Suppose 2*d - 9 = -u. Suppose s - 2152 = -3*w, -w - 3*w + 2856 = d*s. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2265, -2264, -2263?\n\"Answer: a - 2266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000010086 to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bce when three letters picked without replacement from {c: 2, e: 3, x: 1, b: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-1))\/(15\/(-20))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*k = -9*k, 2*j = 5*k. Suppose 4*c + 31 = 3*f, 4*f + 3*c - 32 = 2*f. Let q = j + f. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-35) + 2\/7. Let x(a) = 2*a - 25. Let f(c) = 2*c - 24. Let s(d) = -4*f(d) + 3*x(d). Calculate the remainder when s(q) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -67 + 70. Suppose 20 = p*y + 5. Suppose 0*c = y*c - 4210. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 11. Suppose -h + 3*w - 4 = w, h - z*w + 16 = 0. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (13 + -7 - (1 + 5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjh when three letters picked without replacement from {j: 3, h: 5}.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 417 - 278. Let j = 117 + w. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1766*y - 1768*y = -4*a - 28, -32*a - 9*y = 274 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 8, 7\/3, 239, -0.4, 4?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6884)\/3440 - 14\/(-7). Let u = j - -36991\/9460. Find the common denominator of u and -9\/19.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55734 and 294?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24493 - -24493.5. Which is the closest to -0.2? (a) -459 (b) -1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 101 - 100. Let c = -432 - -430.8. Which is smaller: o or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 3) + 1 + (8 - (-3 + -8)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -5*h**2 + 2*h - 2. Give x(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 + 16 = -2*u. What are the prime factors of u\/(-50) - (-557)\/5?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 - 0.1. Let h = -0.1 - k. Let m = 3.1 + -3. What is the closest to m in h, 5\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n + n + n - 7 - 2*n. Let r be t(8). Find the common denominator of 25\/22 and (-10)\/(-3 + r)*18\/(-28).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7}. Give prob of sequence gg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 8, -12*v - 5*u - 28 = -14*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/(-15)*(-4 + 2 + -3). Suppose -n*m + 12 = m. Solve -6*l = -9*l - m for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-152)\/133 - (-2)\/(17 - 3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/36 + (0 - (-6)\/(-4)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4023 + -3?\nAnswer: 4020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -959*r + 952*r + 56 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -798 = -2*o - 810 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - d = -5*i + 136, 5*i = -4*d + 104. Let y(w) = i*w - 6*w + 22*w**2 - 39 + w**3 + 0*w**3. List the prime factors of y(-21).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 5 + 1. Let y be 2 + (v - -1) + 14. Suppose 4*a - y = -a. Solve -4*r - 4*u - 4 = -2*u, 0 = -r - a*u + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 1372.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4987 + -3335. Is 28 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 26567585, 26567578, 26567567, 26567552, 26567533, 26567510?\n\"Answer: -2*j**2 - j + 26567588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/7 (b) -217 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -21. Solve 3*c + 3 = -4*t, -4*t - c + y + 2 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 6:24 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4066 + 4072. Let r(k) = -4*k - 3*k**2 + 4*k**2 - k + 7. Determine r(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.019, -0.4, -3, -0.1, 4, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2782*c**2 - 7548*c**2 + 32 + 4792*c**2.\nAnswer: 26*c**2 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3784 = -2*c - 41*c. Suppose 67*q = c*q - 28266. What are the prime factors of q?\nAnswer: 2, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -7*a - 2 - 8 - 4 + 12*a. Let s be l(-16). Let j = s + 197. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -326, -301, -254, -179, -70?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 13774.678 to the nearest 10.\nAnswer: 13770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13598 or -40792\/3?\nAnswer: -13598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n + 38. Let g be i(11). Which is smaller: 11\/2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 + 174)\/((-21)\/(-126)).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 822928 and 1862?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 88 - 87.739. Let x = k - -0.009. Let y = x - 0.269922. What is y rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24004\/5648 + 6\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (1 + -2)) + (-36 - -31)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7*d**2 + 16\/7 - 16\/7*d.\nAnswer: 4*(d - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**2\/9 + 4*y\/9 - 20\/3 = 0.\nAnswer: -10, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30845 is divided by 7705?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -10*i**2 - 6*i. Let g(m) = -21*m**2 - 13*m. Let y(o) = 6*g(o) - 13*j(o). Let b(s) = -s. Calculate y(b(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 184509 times 0.01?\nAnswer: 1845.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -6. What is f rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 344 divide 92880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 3*w**2 - 7*w - 17. Let q(d) = 3*d - 171. Let t be q(56). Let l be g(t). Solve 0 = -y + 3*n - 15, 4*y - l*n = -7*n for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (25171 - 285) + 1*10?\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of r**5\/20 - r**3\/6 - r**2\/2 - 91*r. Determine n(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 36\/(-48) - (-38)\/8. Suppose -l + 120 = j*l. Solve 5*v - 3*t + 0*t = -l, 0 = -5*v - t - 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 11*z**2 - 3*z + 11. Let y be t(9). Let h = y - 2. Suppose 4*m = -m - x + 164, 5*m = 4*x + h. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*c + 6. Suppose -19 = -5*h + c*f, 5*f - 5 = 5. Suppose 3*p + 40 = 4*g - 23, -g + h*p + 37 = 0. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u**2 + 220*u - 266. Give g(72).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2876 + 55*o - 2876)*(-o**3 + 0*o + 0*o) in the form s*o**4 + k + q*o + f*o**2 + d*o**3 and give s.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 197 divided by 3576.\nAnswer: 197\/3576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.393 and 145.\nAnswer: 56.985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.64, -1, 3\/4, -4, 2\/3, 1, 626?\nAnswer: 626","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + p - 2 - 1)*(-p + 3*p - 5*p)*((2 - 5 + 1)*(-p + 0*p - p) - 5*p - 12*p - 7*p).\nAnswer: 60*p**3 + 120*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10809*o = 9977*o - 45760 for o.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7766.9mm in micrometers?\nAnswer: 7766900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 78*i - 126. Does 8 divide k(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 8*d + 4951 = 4899, -3*z + d = 4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(192) + sqrt(192))\/sqrt(8))\/(-5*sqrt(48)\/sqrt(4)))**2 + 1 + (sqrt(18)*-2*-6 + sqrt(18))**2.\nAnswer: 3043","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 77, 218, 429, 710?\nAnswer: 1061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/2 + 92*r + 360.\nAnswer: (r + 4)*(r + 180)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 12345*a**2 + 166*a. List the prime factors of w(-1).\nAnswer: 19, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 3*i**3\/2 - 9567*i**2\/2 - 115131*i\/2 - 336105\/2 = 0.\nAnswer: -7, -5, 3201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 2)*(-24*r**2 + 24*r**2 + 8*r**3 + (1 - 1 + 2*r**2)*(3*r - 7*r + 3*r)).\nAnswer: -18*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112 + 2*i**2 + 2*i - 2*i - 112.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26 + 80*k**2 - k - 78*k**2 + 3*k + 25 to m*k + s*k**2 + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -4. Suppose 3*q - 58 - 32 = m. Calculate the greatest common factor of 45 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10596*p - 5275*p - 5282*p = 936 for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102, -87, -50, 21, 138, 313, 558, 885?\nAnswer: 1306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1511770 = -62*o - 44*o + 2315572. What is the thousands digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oodoodddoooodaddd. Give prob of sequence oa.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 6.73, -6, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (136\/(-20))\/(884\/2210)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5.64 in -0.4, 1102, 2\/17?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 70?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 10 = -p, -2*i + 5*p - 5 = -3*i. Let l = -12 + 14. Which is the nearest to l? (a) -0.2 (b) -2\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-13)\/z*z)\/(z\/z**(-31))*z**(-3\/11)\/z**7)**39 assuming z is positive.\nAnswer: z**(-22425\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -18 - 10. Suppose -5*t - 5*y + 1540 = 0, -6*t + 616 = -4*t - y. What is the greatest common divisor of t and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36 - 36 - 12*r**2 to the form i*r**2 + h*r + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - (-9 + 20 + 3) - 25.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -5*k**3 - 98*k**2 + 918*k + 18523. Determine r(-19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41379 to the power of 1\/2, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 3) + (-7 - 17 - 1) + (1 - -6).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -17*k + 92. Let f(q) = 8*q - 45. Let h(b) = 13*f(b) + 6*l(b). Let r be h(19). What is the nearest to -1\/4 in 0.02, r, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 12*t + 3. Let q(p) = p. Let j(f) = 22*q(f) - 2*w(f). Let d be j(-4). Suppose -d*n + 6 = n. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107828 + 11317*w**2 - 11326*w**2 - 107828.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 6. Calculate j(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kvvkjjxjjjkkvkhkkkkk. Give prob of picking 1 k, 1 x, and 2 j.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r + 26. Let g be x(0). Suppose -4*t - 2 = -g. Suppose 7 - t = o. Let w(k) = k**3 + 1. Let s(d) = -3*d**3 - 2. What is o*s(h) + 2*w(h)?\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*w**2 + 0)*(-8 + 2 + 0) - w - 2*w**2 + w - w**2 - 2 + 2 + (2*w - w + 2*w)*(1 - 1 - 2*w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 48 = -3*u. Let t be (-18)\/(-8) + 3\/u. Solve 5*r + t*p - 2 = 0, 2*r + 16 = -2*p - 3*p for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*1*(-1)\/8834. Let p = i + 54899\/8834. Find the common denominator of -109\/10 and p.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51092?\nAnswer: 2, 53, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 490850\nAnswer: -7\/490850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147410 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 8*u - 7. Let a be t(6). Suppose -v + a*h = -14, -v - 4*h + 9 = -5. Suppose i - v = -i. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 20*v**2 + 1. Let z(o) be the first derivative of -o**2\/2 + 5. Let s be z(1). Is g(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-58 - -58) + 0 + 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 333.2 - -0.164?\nAnswer: 333.364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 74.7754906 to 0 decimal places.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011483016 rounded to six decimal places?\nAnswer: -0.001148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -19, 4, -1, 0 in descending order.\nAnswer: 4, 0, -1, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a - 3. Let p(h) = -3 + 3*h - 2*h + 0. Let q = -45 + 52. Let d be p(q). Give f(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2)*(-7*u + 0*u + 0*u) - 3*u + 3*u + u.\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6622.004911 + -6622. Round r to 4 dps.\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 7*q - 1178. Let c be z(-31). Factor i**3 + 1\/3*i**4 + 0 + c*i + 0*i**2.\nAnswer: i**3*(i + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k**5\/7 - 3*k**4 + 6*k**3\/7 + 33*k**2\/7 - 12*k\/7 - 12\/7 = 0. Calculate k.\nAnswer: -1, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 102435373*p**5 - 1126*p**2 - 6677*p + 2 wrt p?\nAnswer: 6146122380*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 4:52 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 1 - 13 = -2*b, -2*v = 0 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of t**4\/30 + 7*t**3\/15 + 6*t**2\/5 - 29*t + 20. Let c(u) be the first derivative of b(u). Factor c(m).\nAnswer: 2*(m + 1)*(m + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/(-3))\/((-10)\/(-30)). Suppose b = -2, -2*b - 2*b + 37 = w*k. Calculate the greatest common divisor of 45 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 3*j + 35300, -g + 3*j + 8825 = 8*j. What is the hundreds digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18203 + 1688?\nAnswer: -16515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 1:09 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**5\/13 - 5400*y**4\/13 + 3644994*y**3\/13 + 16196*y**2\/13 - 10924200*y\/13 - 7290000\/13 = 0. Calculate y.\nAnswer: -1, 2, 1350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000009625 rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4392 a factor of 1466897178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -169254 divided by 9403?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-40) - 367\/(-4). Suppose 0 = -2*w - r + 5*r - g, 5*r - 215 = 5*w. What is w rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/2*304\/(-6). Suppose -60 = -13*x + 18. What is the second derivative of -x*c**3 + c**3 - v*c + 81*c wrt c?\nAnswer: -30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4226.912 take away 5?\nAnswer: 4221.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 4*q + 18. Let n be c(-7). Let y be ((-7)\/(-3))\/((-1)\/n). Solve -4*d + 25*d**2 + 12*d**3 + 11*d + 3 + 5*d - y*d**2 + 3*d**4 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65 - 150 + 85 + 14415*y to b*y + d and give b.\nAnswer: 14415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0*-0.32726\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 8*p + 3. Let z be x(7). Let a(w) = -w**3 - 3*w**2 + 4*w + 6. Give a(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 107*f - 1873. Give l(85).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -9. Let q(s) = -9*s. Let f(n) be the third derivative of 5*n**4\/12 + 18*n**2. Let h(o) = j*q(o) + 2*f(o). Let b(z) = -3*z**2. Determine h(b(m)).\nAnswer: 21*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 5*l**2 + 35*l + 6. Let y(t) = 14*t**2 + 105*t + 17. Determine 17*w(h) - 6*y(h).\nAnswer: h**2 - 35*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/7)\/s**6 assuming s is positive.\nAnswer: s**(-41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10129.876 rounded to 0 decimal places?\nAnswer: 10130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1. Suppose q + 0*q = -o - 5, 25 = -5*o + 2*q. Let w be (4\/10)\/(8\/12). What is the closest to z in -1\/2, w, o?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**3 - 11*c**2 + c + 8. Determine g(-5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 654150 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -69672 (base 11) to base 10\nAnswer: -100630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 36*u - 4. Let f be x(3). Suppose -f = j - 5*j. Suppose 2*c = 3*l - 31, 11 - j = -5*l - 4*c. Calculate the smallest common multiple of 8 and l.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6835649 (base 10) in base 13?\nAnswer: -1554482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.12 at most as big as 2652?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 10*q. Let k(s) = -5*s**2 - 33*s + 4. Let h be k(-7). Let t be z(h). Solve -16*a + 14*a = t for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 - -0.1. Let q = 165 - 166. What is the nearest to q in -0.5, -1\/3, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 514950862*-0.4\nAnswer: -205980344.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 278911091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 275 and 16181?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (3\/1)\/(102\/306)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.382 * 10.1\nAnswer: 3.8582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 107 - 96. Let h(o) = o**3 - 9*o**2 - 19*o - 26. What is the remainder when h(v) is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 + -30. Let u be g\/231 + 12\/66. Which is bigger: 2\/5 or u?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-1\/4))**(-13)*(k**0)**(5\/4))**(-5\/4) assuming k is positive.\nAnswer: k**(325\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 845464, 845462, 845460?\nAnswer: 845458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in -1\/8, -4, 1684\/533, -0.5, 4\/3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-33) - (-3 + 795\/275). Let z = 94 + -84.6. Let y = z - 9. Which is the smallest value? (a) -0.2 (b) t (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 438*f + 1647. Determine z(-3).\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: ((-760)\/30*-1)\/(-2)*9\/6\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a second in milliseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.07 (b) 0.571 (c) 432\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4979679\/55 + 90537. Let n = 42\/11 + o. What is j in -2\/5*j**3 - 4\/5 + 2*j + 2\/5*j**4 - n*j**2 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1698, 1696, 1694, 1692?\nAnswer: 1690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-6*110\/176)\/(1\/4)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170 = -21*h - 44 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - 5. What is the smallest common multiple of 14 and (-12)\/(-42) - 52\/q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 379865*t**2 + t + 59 - 59 - t.\nAnswer: 379865*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11433 - 11382. Which is the nearest to 1? (a) z (b) -2 (c) 0.6 (d) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**5\/5 + 26*q**4\/5 - 3691*q**3\/5 - 58016*q**2\/5 + 726180*q + 3042000 = 0. Calculate q.\nAnswer: -50, -4, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.4 + 0.6. Which is the closest to 2? (a) 0.1 (b) -4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3*t - t - 5, 4*j + t = 25. Suppose 177 = j*o + 4*a, -4*a = -2*o + 33 + 21. Suppose -2*r + o = r. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -36*v**3 - 68*v**2 - 2*v - 30. Determine o(-5).\nAnswer: 2780","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -8. Let h(r) = -8*r - 1. Let l(d) = -5*h(d) + z(d). Give l(-1).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69*i**3*j + 22277*i**3 + 24*i**2*j - 34734*i*j wrt i.\nAnswer: 414*j + 133662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 20 = 0, 5 = -2*q + 3*p + 1. Does 22 divide (q\/14)\/((-8)\/(-2632))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*d**2 + 25*d**2 + 47*d**2 + 3*d - 2*d**2.\nAnswer: 24*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 4:26 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -n**6\/15 - n**5\/5 + n**4\/6 + 2*n**3\/3 - 204*n - 8. Factor i(k).\nAnswer: -2*k*(k - 1)*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5620758, 5620760, 5620762, 5620764, 5620766, 5620768?\n\"Answer: 2*c + 5620756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -19047*t - 57141. Give q(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 295543428, 295543433, 295543448, 295543479, 295543532?\nAnswer: 295543613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*2*(-3 + 1*sqrt(1331) - sqrt(1331))*4 + -1)*5)**2.\nAnswer: 60025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/2925 and 92\/45?\nAnswer: 2925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -533.2 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -228, -925, -2120, -3819, -6028, -8753, -12000?\n\"Answer: -p**3 - 243*p**2 + 39*p - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*((c\/c**2)\/c)\/c*c))\/((c**(1\/18)\/c*c*c)\/c))**45 assuming c is positive.\nAnswer: c**(175\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1541?\nAnswer: 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 93063333 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a millennium in years?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142660.\nAnswer: 2, 5, 7, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.23 - 19.23. Which is bigger: -36 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -91.08 times -27.1\nAnswer: 2468.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - -1 - (-2 - -1). What is the units digit of i\/(-9) - (-145)\/45?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 298 - -80. Let n be (1 - 536\/u) + 180\/420. Which is smaller: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -461 + 423.4. Let n = p - 3.4. Let q = n + 40. Put q, -2\/5, 2 in increasing order.\nAnswer: q, -2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -147 - -143. Let h be (-15)\/(-13) - 0 - g\/(-26). Let f(j) = -2*j**2 + j - 1. Calculate f(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -6. Let s be ((-4)\/2)\/(0 - b). Let w be 0\/2 + 3 + 2. Sort -2, s, w.\nAnswer: -2, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -5, 31.8, 1\/3, -2\/7, -0.1084, -0.5?\nAnswer: -0.1084","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -5451*s**2 - 6409*s + 3012. Differentiate p(x) with respect to x.\nAnswer: -10902","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22024122 - 213?\nAnswer: -22024340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 2*c**5\/15 - 43*c**4\/18 + 61*c**3\/9 + 6*c**2 - 2856*c. Factor m(k).\nAnswer: 2*(k - 9)*(k - 2)*(4*k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b + 1 - 1 + (-61*b + 19*b - 58*b)*(1 + 1 - 4).\nAnswer: 199*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d - 3. Let o be g(-2). Let k = -293 - -310. Let a(p) = 2*p**2 - 33*p - 14. Let y be a(k). Solve 2*f + 2*l = -l + o, 0 = 3*f - y*l - 9 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 4*j + 16 = 0, -4*d - 5*j - 7995 = -8014 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -116 + 89. Let a = b + 32. Solve -13 = 4*j + j - 4*t, -a*t + 15 = -5*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(0 - 4\/(-2)). Suppose h*f = -14 - 4. Let p = f + 46. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 - -0.16. Let n = -0.175 - w. Round n to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 37 and 26418.\nAnswer: 26418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**2 + 13*d - 4. Let x be w(6). Suppose -4*j - 10 = -x*j. Let o(a) = 3*a + 24. Calculate the least common multiple of 15 and o(j).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39388 and 8244.\nAnswer: 354492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 182 - 33. Let s = o + -144. Let m be 0 - 2 - 34\/(-14). What is the third biggest value in s, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*m = 6. Suppose 7*z - 260 = m*z. Calculate the remainder when z is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 451650757?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-2)\/3 + ((-240)\/9)\/(-4) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1081*z + 46170 = -55*z for z.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*j - 2. Let r be 970\/110 - 4\/(-22). Solve -j*w = -r + 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 199791893?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/139 + -147\/556. Which is the nearest to -0.1? (a) 8\/7 (b) t (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18 - -d7?\nAnswer: bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 85471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 44. Suppose 2*r - r = 4*f + u, -2*r = -3*f - 20. Let x = 2080 + -2078. Which is the nearest to -0.1? (a) 1 (b) f (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2580 and 96?\nAnswer: 20640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1180, -0.2, 27 in increasing order.\nAnswer: -1180, -0.2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/7 or 289?\nAnswer: 289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 105 and 420?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -22*m + 185. Determine j(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -26. Let c = t + 18. Is c at least as big as 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4237 and 152.\nAnswer: 33896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 603, 71, -1.51, 3, -0.5 in descending order.\nAnswer: 603, 71, 3, -0.5, -1.51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1756 * -0.1.\nAnswer: 175.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -5*a - 592, 0*f + 3*f = 3*a + 351. Let r = a + 28. Round r to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 65 = -65*i + 70*i, 4*i + 82 = -2*i - 2*a for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -1bf?\nAnswer: -1bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c1 + -3?\nAnswer: bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -6. Let o = 672.2 + -869. Let u = 197 + o. Which is the third biggest value? (a) -2\/11 (b) w (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 140 or 81624?\nAnswer: 81624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 239.6 + -184. Round z to zero dps.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b (base 16) in base 15?\nAnswer: -2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 167574489?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 413928 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 70*h**5 + 6*h + 10 wrt h.\nAnswer: 1400*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**3\/3 - h**2 - 6*h - 3. Let q be k(6). Suppose 2*o - 10 = q. What is the greatest common factor of 42 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 1 = 0, 3*u - n - 3 = -10. Let m(g) = -g**3 + 2*g**2 - g. What is the tens digit of m(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45801\/1003 + -776\/17. What is the closest to -0.1 in -5, z, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t - 10. Let c be o(5). Let y(l) = -2*l + 7. Let f(z) = -3*z + 10. Let n(a) = c*f(a) - 8*y(a). Give n(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/6*6 - -16. Let i = -10 + b. Suppose 0 = i*s + r - 164, 3*s - 4*r - 168 = -r. Calculate the highest common divisor of 22 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.248, -5, 2\/13, -4, 0.1, -0.0482?\nAnswer: 0.248","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 173925561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16256.49996 + -16256. Let a = 0.5 - r. Round a to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39129*y - 68 = 39124*y - 4*s, -y - s + 16 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y, 6*y + 28466 = 2*h + 9*y. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 5*d**5 + 5*d**4 - 190*d**3 + 1440*d = 0.\nAnswer: -6, -3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((1\/1)\/(-1))*456\/(-16416).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6bca - -a9da?\nAnswer: 137c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 5*n**2 - 3*n - 4. Let j be d(-5). Suppose -3*o + j = -1. Suppose 5*t + s = 5*s + 35, o*t - 2 = -2*s. Solve 0 = -g - 2 + t for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 716, 1432, 2148, 2864?\n\"Answer: 716*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d**2*n**2 + 2*d**2 + 289*d*n**2 - 258*d*n - d - 2*n wrt n.\nAnswer: -6*d**2 + 578*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/15, -531, -28, -3, -2, -2.5?\nAnswer: -531","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5112.84 tonnes?\nAnswer: 5112840000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 2, 6\/5, -152 in decreasing order.\nAnswer: 2, 6\/5, 2\/11, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -1945 + 1435. Let c(m) = 6*m + 3. Calculate the remainder when x is divided by c(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 13*k - 202 = -15*k, 0 = -11*d - 5*k + 551. Let y(r) = 4*r**2 + 3*r - 3. What is the remainder when y(6) is divided by d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 140974 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/247798165 or 1?\nAnswer: -4\/247798165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -1271*i**3 + 3*i**2 - 10. List the prime factors of c(-3).\nAnswer: 2, 17167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 - 4 - (11 + (-1 - 4))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, b: 2, g: 2, h: 1, m: 1, u: 6}. Give prob of picking 1 u and 1 h.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*l**3 - 2*l**3 - 3*l**3 + (l**2 + 6*l**2 + l**2)*(-3*l - 2*l + 3*l).\nAnswer: -15*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -y**8\/504 - 4*y**7\/315 - y**6\/36 - y**5\/45 - 2*y**2 - 13. Factor i(l).\nAnswer: -2*l**2*(l + 1)**2*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 247\/(-210)*(1 + -2). Let o = r + -23\/15. Calculate the common denominator of 37\/22 and o.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and 4146048582992.\nAnswer: 4146048582995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1\/32, -2\/7, 36 in decreasing order.\nAnswer: 36, 0.2, -1\/32, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 3*v**2 + 1062*v + 93987 = 0.\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45065.\nAnswer: 5, 9013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1511, 3320, 5423, 7820?\n\"Answer: 147*r**2 + 1368*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/4 and -79\/19316.\nAnswer: 19316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 1930*y - 48876. Determine f(25).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -7*m**3\/6 - 27*m**2 + 37*m - 6. Calculate a(-14).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 - 49708376840851 + 49708376840851.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + d**3 + 2*d**2)*(0 - 2 + 1)*(d - d + d + (-3*d + 2*d + 3*d)*(0 + 3 - 4) + 16 - 16 - d + 65*d + 205 - 205 - 4 + 2*d + 4).\nAnswer: -65*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1683632 divided by -1683632?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 9 = -84. What is the remainder when 34 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 228.1, -0.02, -538, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -179 + 111. Let c = -30.22 - 38.52. Let s = c - i. What is s rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 9:59 PM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*g + 8 = -b, -2*g - 5*b = 4. Suppose -2*o + a + 7 = 0, 3*o + 4*a - g*a = 23. Solve -i + o = 3*l + 3, 0 = -5*l for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -f**8\/70 - 3*f**4\/2 + 19*f**3\/6 + 57*f**2. Let q(l) be the first derivative of m(l). What is the derivative of q(b) wrt b?\nAnswer: -96*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3012275 and 207025?\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/18 - (-248828)\/(-18). Let y = q + 345652\/25. What is the common denominator of 14\/4*(-20)\/(-12) and y?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 3*o - 458 = -462, 4*i + o - 8 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45604328 a multiple of 1414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 1177*q + 89794. What is v(-82)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -35 and 6.\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (624\/4680)\/((-2)\/30)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 230 + 1208*n + 207 - 1206*n as q + z*n and give q.\nAnswer: 437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-1))\/1*-2. Let l be 114\/24 - (-2)\/8. Let q(p) = 2*p - 7. Let x be q(l). Put 2\/17, o, x in descending order.\nAnswer: x, 2\/17, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*g = 1. Let u be 6 + (-91)\/28 + (-2)\/(-8). Suppose 23 - u = 5*z. Solve -z*f - 3 = g for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - (276\/(-6) - 4). Suppose -47*b + i*b - 3775 = 0. What are the prime factors of b?\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 78125*i**2 - 465000*i + 691920 = 0?\nAnswer: 372\/125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ym when two letters picked without replacement from {m: 2, z: 2, y: 4, e: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-45)*((-82539)\/12)\/9. Let s = n - 203\/4. Factor 2\/5 - 12\/5*i**3 + 9\/5*i + s*i**2.\nAnswer: -(i - 1)*(3*i + 2)*(4*i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 0.3 (c) 381\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.089 + 0.049. Let l = k + -3.96. What is the closest to 0 in -2, l, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 8*j + 52 = 0. Suppose 3412 = 4*i + 3*v - v, -1700 = -2*i - j*v. Does 14 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -304647 by 89.\nAnswer: -3423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-20)*1\/(-3). Let g = 11 - -30. Let a = g + -41. Sort a, t, -0.5 in decreasing order.\nAnswer: a, t, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(847) + 4.\nAnswer: -22*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 7513*n - 7515*n + 15011*n.\nAnswer: -17*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/88 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235*u = 180*u + 330. Let y be 0 - (0 - 1)*2. Solve 2*n - u*n + y*b + 12 = 0, -6 = -3*b for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/3 + 8*j - 70\/3.\nAnswer: -2*(j - 7)*(j - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*g - 12, g + 3*v - 4 = 12. Let n = 7 - g. Solve 4*q + 11 = -4*p - 9, 0 = -n*q + 2*p - 10 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15831 is divided by 742?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = j - 2*j. Let q be -23 + (j - -1 - 0). Let n = q + 45. Solve -n = 5*d - 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z + 4. Let h be g(-1). Suppose -j + 209 = 3*k, h*k - 6*k = 2*j - 278. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 921302 > 921301?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = 44*w - 130 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 18. Suppose k*j - 16 = -2*j. Suppose -j*p + 45 = -3*s, -s = -p - 0*s + 11. What is the greatest common divisor of p and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2845199 to the nearest integer?\nAnswer: 1687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122050?\nAnswer: 2, 5, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264*f**2 - 186*f - 172*f**2 - 177*f + 363*f.\nAnswer: -436*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*z + 5, 40 = -5*f + 5*z + 15. Let w = 7 + f. Solve -6*a = -3*a + w for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbppbbbbbb. What is prob of picking 2 p and 1 b?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 822\/11 - 10535\/132. Find the common denominator of p and -28\/183.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 57 + 15. Let i be (0\/(-5 - -3))\/(-2). Suppose -2*x + 104 + 36 = i. Calculate the remainder when x is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5*z**2 + 9*z - 7*z - 605 - z**3 + 610. Let l = 47 + -42. Give r(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1325.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 4*t + 10. Let j be (-1)\/(t\/6 + 0). Sort -1, j, 2 in decreasing order.\nAnswer: 2, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3679114 is divided by 44326.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-52 - -55) + (2 - -25 - -2). Suppose -27*q = -w*q + 370. What is the highest common factor of 111 and q?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 600527537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 8 + 3 = 0. Suppose 4*z + 529 + 27 = 4*u, 4*z = -x*u + 659. Is 27 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34517.628+0.047\nAnswer: -34517.581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 13 + (5 + 1 - (11 + -8)) + 8?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319245097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 14*u**2 - 17*u + 43. Let c be o(15). Suppose -33 = -c*b + 19. Solve 0*r + 5*d = b*r - 11, -17 = -4*r - d for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 5*n = -x + 30, 2 = -3*x + n. Let u = -248 + 251. Let h(i) = -7*i + 1 + 12*i - 3 + i**2 - u*i. Give h(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 297 and 2277.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0106 and 119.\nAnswer: -1.2614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y - 12*y = 4161 - 4287 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -9*v**5 + 1608*v**4 + 5447*v**3 + 2386*v**2 - 3644*v + 728 = 0.\nAnswer: -2, 1\/3, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62160 and 30327420?\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 55\/3, -0.3, 0.4, -8?\nAnswer: 55\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -3. Let v(o) = -3*o - 5. Let d(c) = -c - 2. Calculate l*v(q) - 5*d(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -234, -3 in increasing order.\nAnswer: -234, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 288 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -15436781.41 to the nearest 100000.\nAnswer: -15400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010723502 rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 7:28 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + i - 49. Let d(v) = v**2 - 1. What is 3*d(z) + g(z)?\nAnswer: 2*z**2 + z - 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7\/3 (b) -0.2 (c) 11990 (d) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -50*o - 348. Give q(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 162 and 22551615?\nAnswer: 45103230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 14, k: 4}. What is prob of sequence xxkx?\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*m - c = 57*m - 78, -2*c = 4. What is the smallest value in m, 1\/5, -3\/4, 1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s - 10710. Let m(w) = -852*w + 8. Give r(m(u)).\nAnswer: 1704*u - 10726","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-22)\/(-11))\/(-18 + 0 - -2). What is the third smallest value in 4, -2\/13, b, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 38 + 2 + 30 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -35066020 at least -35066016?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1616)\/(-78) + (-324)\/(-918)*-17 + (-2)\/39.\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18 + (-10 - 4) + (2 - 1). Let q = 259 + -273. Sort f, q, 1\/4 in descending order.\nAnswer: f, 1\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4849, 4850, 4851, 4852, 4853?\n\"Answer: r + 4848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 12. Suppose -i - 1 = 5*r + 111, -a*r - 60 = 3*i. Round r to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2847 divided by -255.\nAnswer: 949\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -0 - 32. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((10\/(-25))\/((-20)\/25))\/2\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x - 58*x**3 + 64*x**3 - 9*x.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -24. Solve -3*t - 12 = -y*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 15, -5*g + g - 5*p = -185. Suppose 2*v - 960 = 2*a - g, 3*v - a = 1355. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 15) to base 6\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2.252 (b) -0.2 (c) -2 (d) -0.1 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 - 6)\/((-1)\/(-5)*1). Let g(n) = 4*n**2 + 16 - 7 + k*n - 5*n**2 - 2*n. Let y be g(4). Which is greater: 3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -11.7. What is the closest to 1\/4 in c, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.52552 rounded to one dp?\nAnswer: -40.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, r: 6}. What is prob of sequence rv?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1284)\/16)\/(12\/(-32)). Calculate the common denominator of 19\/12 and (i\/(-6))\/((-154)\/21).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, -10\/11, 8\/7, 4?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -1, 2, 33 in decreasing order.\nAnswer: 33, 2, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 553841893 to the nearest integer?\nAnswer: 23534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18789.\nAnswer: 3, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 354 = 288. Suppose -c - l - 1158 = 0. List the prime factors of c\/(-44) + (-2)\/11.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*v - 382062 = 38*v. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4 = -12. Let f(r) be the second derivative of 0*r**w + 1\/12*r**4 + 0*r**3 - 1\/30*r**6 + 0 + 4*r + 0*r**5. Find m, given that f(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 6*h - 150. What is the remainder when 61 is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-3*-3*sqrt(72)\/sqrt(4))\/(sqrt(6) + 6*sqrt(30)\/sqrt(5) + 2*(sqrt(6) - 2*sqrt(6))).\nAnswer: 9*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**9\/i**(-24) assuming i is positive.\nAnswer: i**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*d + 2. Let r(j) = -15*j - 8 + j**d + 5*j**2 + 5*j. List the prime factors of r(5).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -13*o**3 + 4*o**2 + 4. Let b(v) = 94*v**3 - 30*v**2 - 28. What is 2*b(a) + 15*p(a)?\nAnswer: -7*a**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 3 = -5. Let t be (6 - -4)*o\/2. Suppose -t*f - 392 = -122. Round f to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 327177.\nAnswer: 1963062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80904 = -20*r + 16316. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 8 = -3*a. Let m = a + -9. Let i(b) = -b**3 - 6*b**2 - 6*b. Determine i(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-975*p + 1572*p + 1131*p)*(26 - 14 + 15).\nAnswer: 46656*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 2:49 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 5\/3)\/(11*33\/(-726)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 3. Let x be (3\/q)\/(-3)*1. Let t = 0.1 + -0.3. What is the third biggest value in x, t, -2\/13?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 63*i - 4. Let l(t) = 112*t - 11. Calculate 3*l(f) - 8*s(f).\nAnswer: -168*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*4*7\/3. Suppose -2*z + 10 = -5*o + u, -4*o + 3*z = -13. Is (2 - 1)*28\/o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4925*q**4 + 5*q**3 + 15*q**2 + 423228*q wrt q.\nAnswer: -59100*q**2 + 30*q + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 141 and 6436368?\nAnswer: 6436368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4508106?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -19*c. Let y be v(0). Suppose x - 9921 = 569. Suppose f - 3*f + x = y. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*m - 16 = 0. Let r be 65\/26*m\/(-10). What is the common denominator of -56\/15 and (r\/(-14))\/((-3)\/(-79))?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26.4 - 26.40000346. Round y to 7 dps.\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -163.4144 + -2.0156. Let y = -158 - l. What is y rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 198151?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-3850)\/220*(3\/1)\/15\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1085b0 (base 15) in base 2?\nAnswer: -11000000010011010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 19*n - 6. Let x be a(4). Let q be (-2)\/x + -6*9\/135. Put q, -0.5, 6, 1\/2 in ascending order.\nAnswer: -0.5, q, 1\/2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167525873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.38, 3, 8?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4845 - 4801. Which is the second biggest value? (a) 2 (b) -2\/5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g + 8035*g**3 - 8116*g**3 + 0*g.\nAnswer: -81*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-18) - (-2)\/(-6). Let m = g + 3. Suppose -165 = -a - m*a. Is a a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7147, 29768, 67861, 121420, 190439?\nAnswer: 274912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -20*s**2. Let n(p) = -2*p + 85 - 2*p**2 + 2*p - 85. Calculate t(n(m)).\nAnswer: -80*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 + -101111?\nAnswer: -110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/198 and (2650\/(-375))\/(-22 + 2*-1).\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**6\/f)\/f**(1\/3))\/((f*f**(4\/5)*f)\/(f**(2\/5)\/f)) assuming f is positive.\nAnswer: f**(34\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*t = -1, t = -5*u - 1 - 3. Let q be u - (9*-1 + 3). Suppose 2*h - h = -q*i - 22, -5*h - 10 = 5*i. What is the highest common divisor of h and 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44368 divided by 4\nAnswer: -11092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 781868460 divided by -52124564?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*t + 24854, -t + 2*u = -5429 - 7003. Suppose -w = w - t. Let b = 1514 - w. What is b rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*x - 136 + 10*x + 2*x**2 + x to the form q*x + g + a*x**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2886 is divided by 955.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i**2 - 3*i**2 + 5*i**2.\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*v, u - v - 197 = 239. Let h(d) = 3*d + 26. Let w be h(-8). What is the third derivative of u*z - 20*z**w - 435*z + 18*z**5 wrt z?\nAnswer: 1080*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234261 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -1) + -40 + 40?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 31*h**2 - 3*h + 5. Let b be r(4). Let d = b + -421. Calculate the highest common divisor of 578 and d.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 194 - 194. Let l be j - (-4 + 5\/5) - -32. What is the greatest common factor of l and 560?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 689*a + 690*a = 2067*a - 690*a + 15, 0 = 5*a - 50 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*x - x**2 - 10 - 8 - 81 - 40.\nAnswer: -x**2 + 16*x - 139","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -321*v + 849. Calculate h(3).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*d = f + 77, -4*d + 88 = 2*f. Suppose 12*m + 10 = f. Suppose -22 = -5*w + 4*v - 7, 0 = 4*w + m*v - 12. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**2 - 7*z + 176. Let p be g(8). Let h(f) = f**3 + 10*f**2 + 15*f - 7. Determine h(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -275, -1107, -2493, -4433, -6927?\nAnswer: -9975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 + 2 - 30)*(11*b - 9*b + 4 + 5*b).\nAnswer: -476*b - 272","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 2845523520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 12, 23, 34, 45?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 480432778.\nAnswer: 2, 7, 47, 179, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 819029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from llnllllllnlllnllnl?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 10:11 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -949*k + 15969. Determine a(19).\nAnswer: -2062","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -43864 - -52?\nAnswer: -43812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, 42, 35 in increasing order.\nAnswer: 35, 41, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3*sqrt(1700)*-5)**2 + 1 + -1 + sqrt(833) + sqrt(204)\/sqrt(48).\nAnswer: -382500 + 15*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -30. Suppose -4*f + 19 + x = 0. Let g = f - 0. What is the smallest common multiple of g and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11*(10 - 9) - 8. Let p(s) = -6*s + 10. Calculate p(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/4*-2 - 6 - -2. Let l = 233.7 + -234. What is the biggest value in 0.08, l, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2 + 3*v. Calculate i(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 0 + (-9 - -13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z. Let r(q) = q**3 + 8*q**2 - 3*q - 69. Let l(g) = -g + 6. Let f be l(13). Let n be r(f). What is t(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 16 = 4*s - 364, 2*s - 12 = 0. Calculate the remainder when 621 is divided by z.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qllllqlll. What is prob of sequence lqlq?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*s = 244, 2*f + 4*s = 662 - 160. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/7, 6.23, -7, 1, -12\/17, -0.4, 3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-2) - (-59 - (-44844)\/707)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89400 rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -36007 greater than -36005?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxxxxxxxxxq. What is prob of picking 2 x?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 74455848 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6771046 + 0.061?\nAnswer: 0.7381046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 0 + 6 - 9 - 23*m - 16*m. Is f(-1) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -3*q**3\/7 - 1822944*q**2\/7 - 276923423004*q\/7 + 1107722859312\/7 = 0.\nAnswer: -303826, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/18 - 2\/(-9). Suppose -2*l = u + 11, -u - 21 = -n*l + 4*l. Which is bigger: l or -8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -319765 + 319790. Factor 5\/4*k**2 + d - 105\/4*k.\nAnswer: 5*(k - 20)*(k - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 223*n**9\/504 + 2*n**5\/3 - n**3\/6 - 3*n**2 + 2*n. What is the third derivative of d(o) wrt o?\nAnswer: 26760*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, -65, -386, -1049, -2168, -3857, -6230?\nAnswer: -9401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -51*z**3 - 13*z**2 - 2*z. Let x(i) = -51*i**3 - 12*i**2 - 2*i. Calculate -7*r(g) + 8*x(g).\nAnswer: -51*g**3 - 5*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(168)\/sqrt(4))\/(1*sqrt(3)*-5))\/(4*(sqrt(567) - sqrt(567)*-2 - sqrt(567))*-5).\nAnswer: sqrt(2)\/450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s = 13*s - 28 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, g: 7, o: 6}. What is prob of sequence gojo?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 548*d**2*g*i*j - 7*d**2*g*i - 2*d**2*g*j + 14*d**2*g + 457*d**2*j wrt i?\nAnswer: 548*d**2*g*j - 7*d**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (2 - 9 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -28*a + 428. Let t be h(21). Let u be (t\/(-48))\/((-1)\/(-6)). Solve 0 = -4*f + 8*l - 4*l - u, -5*f + 15 = 5*l for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*x + 78 - 78.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -5. Does 21 divide (-66)\/(-4 + 1) - j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 38*s**2 + 264*s. Let i(v) = 12*v. What is i(k(j))?\nAnswer: 456*j**2 + 3168*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-1) - (0 + 4). Solve -6 = x*w - 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 57 + -54. Let m(l) = 20*l**3 - 3*l**2 - l - 2. Let q be m(c). Suppose -8*o + q = -4*o. Is o a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146542?\nAnswer: 2, 11, 6661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -82\nAnswer: -5\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 744713\/8550 + -4\/4275. Let x = 87 - h. Which is the nearest to -2\/19? (a) x (b) -3\/5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 88230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 265.67 + -261.67. Is 2\/359 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24309*k + 24309*k - 257*k**2.\nAnswer: -257*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -w - 4*y + 38, 2*w = -5*y + 55. What is the remainder when 116*21\/33 + (-8)\/(-44) is divided by w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 + -28 - -9) + 0 + -7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 163.0548 + -163. Let a = -0.06 + v. What is a rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*q - 4*z, -q + 5*z + 1 = -15. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45 + 2*2\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -125*o + 420. Let r(p) = 9*p - 30. Let k(f) = -4*i(f) - 55*r(f). What is the tens digit of k(19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 239 and 1?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -2, 0.5, 0.098, 379409?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 (base 9) in base 11?\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 138451, 138457, 138463, 138469, 138475, 138481?\n\"Answer: 6*d + 138445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9\/5*2345\/(-19698)\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x**2 - 6*x - 8. Let p(b) = b**2 + 2*b + 3. What is 11*p(d) + 4*w(d)?\nAnswer: -d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20067 - -20084. Solve 0 = -5*k + 4*l + 1 - 12, 5*k + 2*l + q = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l - l + 2987*l**2 - 1 + 2897*l**2 - 5883*l**2 + 117*l**3 in the form v*l**3 + r + h*l**2 + k*l and give v.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8271402?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1907 - 1713.3. Let t = h + -194. What is the closest to -2\/5 in 5, -5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -351\/2506 + -1\/358. Let t = 4.92 + 0.08. Let n be (-3 - -6) + (-38)\/14. Sort t, c, n in decreasing order.\nAnswer: t, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -60642122 + 4?\nAnswer: -60642115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62636*p**2 + p - p + 6044*p**2.\nAnswer: -56592*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4*o**3 + 4*o**2 + 2*o - 7. Let p(w) = 27*w**3 - 29*w**2 - 15*w + 58. Calculate -15*a(r) - 2*p(r).\nAnswer: 6*r**3 - 2*r**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 37, 144, 365, 736, 1293, 2072, 3109?\n\"Answer: 6*l**3 + 21*l**2 + 2*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.619 - -0.459. What is a rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 14. Let y(c) = -c - 7. Let f be y(b). Put -1, f, -4 in descending order.\nAnswer: f, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 2*h + 143 + 161, -635 = -2*w - 5*h. Let j = w - 272. Solve 12 = 35*b - j*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-196)\/14*6\/(546\/1)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5092 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8420, 13951, 19498, 25067, 30664, 36295?\nAnswer: 41966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**3 + 3*i**3 - 3*i**3 + (-2*i**3 + i**3 + 2*i**3)*(-5 + 4 + 2) + 2*i**3 + 2*i**3 - 3*i**3 + 56*i**2 + 43*i**2 + 626*i**3 - 99*i**2 - 58*i**3.\nAnswer: 571*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 + 98 = i - 3*b, 0 = -3*i + 2*b - 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14407 is divided by 1186?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - t - 218, -4*y - 2*t = -5*t - 440. Let n = 10029 + -10070. Let g = n + y. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*1 - sqrt(5))*4 + -1 + sqrt(720) - (0 + sqrt(35)\/(sqrt(14)\/sqrt(2)))**2 - (sqrt(210)\/(sqrt(42)\/sqrt(7)))\/(sqrt(448) - sqrt(448)*-3).\nAnswer: -6 + 383*sqrt(5)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -421721 - -3?\nAnswer: -421716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 6*f**2 + 14*f - 35. Determine j(-10).\nAnswer: -575","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -456 + 458. Solve 5*a = 5*c, -10*a - r*c = -5*a + 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, y: 3, j: 1, x: 9}. What is prob of picking 3 x and 1 v?\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2243, 2093, 1943, 1793, 1643, 1493?\n\"Answer: -150*x + 2393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1147*q - 2701 = 4181 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 184 = 3*x, -2*y - y + 5*x - 138 = 0. Let j = y + 155. List the prime factors of j.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of g**3\/3 - g**2 - 16*g + 69. Does 19 divide t(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 66, -3, -0.7 in ascending order.\nAnswer: -3, -0.7, -0.4, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-11) + -1*92\/(-22). Let f be (24 + -25)*1\/j*-1. What is the nearest to 1 in 1\/2, f, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-485)\/(-1746))\/(5\/(-4)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 - -1) + (-13 - (-18 - -14))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - -8) + -3 + -3. Let c = o + -6. What are the prime factors of c + ((-4)\/8*-6 - -105)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t. Let z(a) = 2*a + 1. Let b(y) = r(y) + z(y). Let g(s) = s + 2. Let h(w) = 3*b(w) - 4*g(w). Calculate h(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9730739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414 is divided by (-6)\/9*(-8 + -31).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(57)\/(-2*sqrt(432)).\nAnswer: -sqrt(19)\/24 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, o: 7, p: 4}. Give prob of sequence poo.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**4 - 3 + 3 + 25*z**4 - 8*z**4 - 16*z**4 + (2*z**3 + 2*z**3 - 2*z**3)*(-z - 2*z + 5*z) to u + i*z**3 + v*z**2 + r*z + b*z**4 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*b**2\/7 + 2637*b\/7 - 330\/7.\nAnswer: 3*(b + 110)*(8*b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 2*g + 1. Let v(z) be the second derivative of -z**4\/24 + 9*z**3\/2 - z. Let u(p) be the second derivative of v(p). Determine h(n) + 3*u(n).\nAnswer: -n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 1 = -5. Let f(h) = h + 0*h + j + h. Let m = 2853 - 2862. Let u(s) = 5*s + 2. Give m*f(x) + 4*u(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 12480 and 0.35 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sg when two letters picked without replacement from sssgssssssggssss.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/(t*t*t**(-22))*t**23*t assuming t is positive.\nAnswer: t**46","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 4*l - 3, 9 = -2*x + 7*x + 2*l for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -1014*g - 47618. Calculate f(-47).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 499566913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 61 + -62. Suppose c = 5*c. Let m(h) = c*h + 0*h - 5*h. Calculate m(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3589 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -12 + 2 + -1 - (2 + -9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1088?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z - 47 - 230*z**2 + 129 + 1292*z**2 - 37 - 43 to the form y*z + b*z**2 + s and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-53 - -43) + (34 - 13).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 1009923?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*l - 102*l + 1892 = a, -5*a + 3*l = -9420. Is 17 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*p + 131 - 338. Suppose -p*o - 9360 = -35*o. Does 20 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 44950745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543 is divided by 211?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 39*s**2 - 7*s - 3. Let t be n(-4). Suppose t = 5*m - w - 0*w, 5*m = 2*w + 648. What is the units digit of (-3)\/(((-36)\/m)\/6 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.2000227 + -1.022008. Let b = -6.8 - -6.622. Let a = u + b. What is a rounded to six decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 k when four letters picked without replacement from {k: 7, t: 7}.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -60217.6 to the nearest one hundred.\nAnswer: -60200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(132) - (-3*sqrt(132) + sqrt(132))))\/(-2*sqrt(300) + sqrt(300)).\nAnswer: 12*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**3 + 3*f**2 + 44*f + 9. Let a(q) = q**3 - q**2 - 22*q - 5. Let w(k) = 5*a(k) + 3*p(k). Does 9 divide w(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1228157268 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v - 4487 = 6953. Calculate the remainder when v is divided by 37.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yw when two letters picked without replacement from yywyywywywyyywwwyrwy.\nAnswer: 22\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - (-12033)\/231) + 11\/(-121)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**4 - 3*j**4 + 3*j + 1 + 5*j**4 - 2*j**2 to a*j**3 + m + g*j**2 + l*j**4 + c*j and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/8194720 and 83\/18.\nAnswer: 73752480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3365 = -4*i + 766, 2*i - 18 = 0. What is the highest common factor of 1729 and c?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1461\/(-2)*(12 + -116). Suppose -29883 = -5*s - k + 65073, -y = -4*s + k. Suppose -6*u + s = 2426. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.89922 grams in nanograms?\nAnswer: 82899220000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 7*v + 17. Let k(q) = 15*q + 33. Let o(d) = 3*k(d) - 5*n(d). Let i(a) = 2*a + 3. Let c(j) = 28*i(j) - 6*o(j). Let m = 1 - 0. Give c(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, -7312, -13, 0.037?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -1599996*r + 8. Let j be n(-2). What is j rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 - 4420 = 247*n + 1543 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52824342031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 14*(2\/14)\/(240\/480)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.50155 + -4.5. Round i to 4 dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (310\/(-4) + 2)\/(889\/(-98) + 9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1733 - -1733.000749. What is s rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 9*q**2 + 12*q - 18. Let m be k(8). Solve 5*g + 2*b = -18, 5*b + m = -6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t + 17. Let q(r) = -8. Let l(x) = 6*b(x) + 13*q(x). Let p be l(-1). Suppose 3*h - 14 + 5 = 0. Solve 0 = -5*w + 4*a - 32, h*w + p*a - 8 = 2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -97 + 753. Let q = j - 456. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/sqrt(4)*-3 - (-2*sqrt(13) + 5).\nAnswer: -5 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(70)\/sqrt(2) + 3*sqrt(35)*3)\/((sqrt(720)\/sqrt(108) + sqrt(60))\/(6*sqrt(36)\/sqrt(3))).\nAnswer: 27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*((((t\/(t**(2\/49)\/t))\/t)\/t)\/t)\/t*t)\/t)\/t)\/t**(3\/14) assuming t is positive.\nAnswer: t**(-221\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 4*g - 12058925, g - 133*r + 128*r = 3014750. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 444217 is divided by 357.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1584) + (sqrt(1584) - (-1 + 2*sqrt(1584)))**2 - sqrt(55)\/((3*sqrt(50))\/sqrt(10) - sqrt(5) - sqrt(5)))*-5.\nAnswer: -130*sqrt(11) + 15850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -s, 3*s + 55*z - 52*z - 12 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/10 of a millimeter?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d**2 - d. Let b be c(1). Suppose 4*f - 4*r - 5 = -1, -b*f - 3*r = -18. Solve 2*q = q + f for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -47\/10*u**5 - 3 + 5\/12*u**4 - 10*u + 0*u**3 - u**2. Find the third derivative of p(s) wrt s.\nAnswer: -564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5164.931 + 665.\nAnswer: -4499.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35222 divided by -22.\nAnswer: 1601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 288.6584g in micrograms?\nAnswer: 288658400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -g**7\/10080 + g**6\/2880 + g**5\/240 + g**4\/6 - 2*g. Let a(d) be the third derivative of b(d). Factor a(p).\nAnswer: -(p - 2)*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-21))\/(o*o**(-5)) assuming o is positive.\nAnswer: o**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0033329 to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184808 = -5*b - 2*k, 5*b + 196331 - 11519 = -3*k. What is b rounded to the nearest 1000?\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9926358077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 3*j + 3. Suppose -3*k - 4*l + 141 = 0, -3*l = 2*k - 3*k + 47. Suppose 0 = -4*i - 2*q - 3*q - k, -q - 3 = 0. Is f(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x**2 - 42*x + 219. Determine k(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**5 + 20*v**4 - 5*v**3 - 50*v**2 + 20*v + 40 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 less than -4.8?\nAnswer: 8.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267882817?\nAnswer: 23, 67, 131, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6 + -2.4. Let r = v - 2. Suppose -5*w - 7 - 8 = 0. Which is the second smallest value? (a) -4 (b) w (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**2 - 17*f + 6. Let l(k) = -1 - 803*k + 396*k + 406*k + 2. Give 4*l(q) - y(q).\nAnswer: -2*q**2 + 13*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 8*b**2 - 18*b - 13. Let v be t(-12). Suppose -7*m = -2*m - v. What are the prime factors of m?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 39*l**2 + 4*l - 71. Calculate the remainder when 335 is divided by w(39).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-40)\/(-25))\/(2\/10). Suppose -35 = -u*l + 3*l. Suppose -l*p - 5 = -8*p. Solve -5*w + 0 = -p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 187\/(-68)*(-33840)\/(-1551)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15*(0 - 4\/4). Let k = 17 + g. Let b be (-4 - -6 - k)\/(-2). Solve 2*w + 4*x - 4 = 2*x, 4*w - 2*x - 26 = b for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7452002*j**5 + 156*j**2 + 73800*j wrt j?\nAnswer: 447120120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c\/(c\/(c*(c*c**(-2\/167)\/c*c)\/c))*c*c\/(c**(2\/71)\/c*c*c))\/(c**(-29)*c*c*(c\/(c**(-17)\/c))\/c) assuming c is positive.\nAnswer: c**(153665\/11857)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 32\/48*(-109)\/2. Let x = s - -37. Which is the closest to -1? (a) x (b) 4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 21 + -30 + 28.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 15 = -0*b, 90*v - 5*b = 85*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 731948688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from wwwwwowwoo.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -1659a44e?\nAnswer: -1659a449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1781449?\nAnswer: 1781449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 667, 1343, 2035, 2755, 3515?\n\"Answer: 2*t**3 - 4*t**2 + 674*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1130102212 (base 4) to base 15.\nAnswer: -77017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + 7316\nAnswer: 7316.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8739, 8752, 8765, 8778, 8791?\n\"Answer: 13*c + 8726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 77607987 greater than or equal to 77607988?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -4*p + 85. List the prime factors of p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 a when two letters picked without replacement from {g: 2, n: 1, q: 4, a: 6}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 9, 4, 0.16, 5\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 13 - (22 + -23)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 82 + -83. Let m(w) be the second derivative of -3*w - 5\/12*w**4 - 1\/2*w**2 + 0*w**3 + 0. Calculate m(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 103067853?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 20. Suppose n*k - 6*k = -9. Let x = -18 - -27. Solve -k*v = -0*v + x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -0.16 (b) -2 (c) -2\/15 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 6*r + 49. Let m be q(-6). What is the greatest common factor of 13 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166658*v**2 + 4946 + 166686*v**2 - 4946.\nAnswer: 28*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2212120120220 (base 3) to base 2\nAnswer: -101110100110010101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**5*y)\/y*y**7*y**(1\/4)*(y\/(y\/(y*((y\/(y**3\/y*y))\/y)\/y)*y))\/y*y*((y\/y**(-1))\/y)**(3\/17)\/(y**6\/(y\/y**(-2))) assuming y is positive.\nAnswer: y**(437\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - k + 11 = 0, 82793670*c - 82793668*c - 6*k + 50 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 30\/5)\/(-1) + 3\/(-9)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -371067 + 185531 + 185537 - 2908*n**2 as v + g*n + b*n**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 800690 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 188895.\nAnswer: 4\/62965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6)*d*d**4*d*(d\/d**(1\/2))\/(((d*d**(2\/7))\/d*d)\/d))\/((d**(2\/7)*d)**(1\/4)*d*d**(1\/7)*d*d*d\/(d*d*d\/(d*d**(4\/5)\/d)*d)) assuming d is positive.\nAnswer: d**(-21\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 = -4*w + 17*f - 22*f - 25, -4995 = -384*w - f for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -56 + (-44 - -64) + 6\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 85, -3, 31 in decreasing order.\nAnswer: 85, 31, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 5*c**2 - 2*c + 2. Let i(x) = -189*x**2 + 77*x - 77. Let a(f) = -f**3 - 2*f**2 + 2*f + 8. Let h be a(-2). Calculate h*i(k) + 154*o(k).\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 5, -16, 3 in decreasing order.\nAnswer: 5, 3, 0, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**5\/5 + 12*z**4\/5 + 22*z**3\/5 + 4*z**2\/5 - 24*z\/5 - 16\/5.\nAnswer: 2*(z - 1)*(z + 1)*(z + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 26 - 6 - 19 - 2*y**2 to the form r + q*y**2 + l*y and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 46, -1, -42, 5 in increasing order.\nAnswer: -42, -3, -1, 5, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -17*n. Let d(q) be the second derivative of 11*q**3\/6 + 10*q. Let v be (-4)\/((2\/12)\/(5\/(-15))). What is v*d(y) + 5*z(y)?\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 108056853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(343)\/sqrt(7) - sqrt(49))\/sqrt(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 2*n - 4, 2 = 4*f - 5*n - 1. Suppose 0 = f*q - 1896 + 293. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -114601?\nAnswer: 114563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -202\/33 - -2792\/165. Determine j, given that 0 + g*j + 132\/5*j**3 - 21\/5*j**4 - 45*j**2 = 0.\nAnswer: 0, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7049049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-15)*5 + 4. Suppose -j*o = -1521 - 434. Suppose 3*n - o = 2*t - 4*t, -5*t + 946 = -3*n. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + 146 + (-2 + 1)*1. Let v = 163 - h. Calculate the least common multiple of v and 7.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 + 27. Let t = 0.1 - -0.51. Let k = r - t. What is k rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1060988*y**2 - 293*y + 103?\nAnswer: -2121976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kinnuii. Give prob of picking 1 n and 3 i.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125721.\nAnswer: 3, 61, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 1. Let x = -35425 - -35424. Let n(p) = -6*p + 4*p - 2 + 6. Calculate x*n(m) + u(m).\nAnswer: m**2 + 2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 27*n**4 + 2289*n**3 + 33348*n**2 - 7524*n = 0.\nAnswer: -66, -19, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 1 + (4 + 0 - 6)*(3 + 0 - 4) + 0 - 2 + 3 + 1 + 4 + 7)*(2*g**2 + 16 - 16) in the form z + f*g**2 + n*g and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1888 or 1889?\nAnswer: 1889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**2 - 1 - 5*o**2 - 8 - 2*o as z*o**2 + y*o + i and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7911 + 174079\/22. Let i be (85\/10)\/((-28)\/86). Let m = i + 258\/7. What is the common denominator of p and m?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*f + 91 - 512 = -115*h + 110*h, h - 73 = -5*f for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 6 + 2. What is the remainder when d\/(24\/(-15))*20 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224 = 21590*n - 21558*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 2 = -2*g. Suppose 0 = -g*s + 3*s. Suppose s = 4*v + 12 - 72. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, p: 6, q: 2, k: 2}. What is prob of sequence dq?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 6 - (-4 - (6 - 14))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 23 + -29 - 0 - 16\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 20 - 1. Solve 0 = 5*o + 25, o - i = c + 2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + 1*sqrt(121)*2)\/(-6*sqrt(99)).\nAnswer: -sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k**3 - 4*k - 2. Let g(c) be the second derivative of 11*c**5\/20 - 3*c**3\/2 - 5*c**2\/2 - 13*c. Determine 2*g(o) - 5*q(o).\nAnswer: -3*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1551312 and 133.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 9 - 3*x + 3 + 2*x**2 - 1. Let a(y) = y**2 + 1. Let h = -3 - 2. Let q(d) = h*a(d) + n(d). Factor q(b).\nAnswer: -3*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 6*w + 4*w)*(4 - 4 - 3*w) - 14 - 2*w**2 + 14.\nAnswer: 4*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 143151064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 - -45. Solve 11 = -2*r - 0*g - 3*g, 2*g + x = -2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -46?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6813 and 5979.3853?\nAnswer: 833.6147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 2*a - 36. Put a, 2, -9 in descending order.\nAnswer: a, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9001?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (1 + -7 + 10 - 8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 3. Solve 2*g - 2 + 0 = z for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39\/8? (a) 0 (b) -2 (c) -159\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(245) + 0 + sqrt(245) + -4 + sqrt(245).\nAnswer: -4 + 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4409, -12, -5 in ascending order.\nAnswer: -12, -5, 4409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1*sqrt(153) + 1 - (-3*-2*sqrt(153) + sqrt(153))))**2 + 4.\nAnswer: -324*sqrt(17) + 49585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16394301 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*b = b - 653, b - 2592 = -4*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -1209*v - 1253. Calculate the least common multiple of 34 and m(-6).\nAnswer: 12002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*y - y - 2*y)*(-682*y + 1424*y - 7 - 631*y) in the form q*y**2 + l + w*y and give w.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**6\/180 - 13*n**5\/90 + 55*n**4\/36 - 25*n**3\/3 + 103*n**2 - 79*n. Let b(j) be the first derivative of g(j). Factor b(d).\nAnswer: 2*(d - 5)**2*(d - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*b**2*z**2 + 94862*b**2 - b*z - 2*b + 620471*z**2 + 2*z + 2 wrt b?\nAnswer: 6*b*z**2 + 189724*b - z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.1589 and 62.\nAnswer: 195.8518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 222.93*-24.\nAnswer: -5350.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 294*j**2 + 300*j**2 + 294*j**2 - 887*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4042 and 2425673?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v**3 + 39*v**2 + 68*v - 156. Let j(l) = 3*l**3 + 29*l**2 + 52*l - 117. Let q(g) = -9*j(g) + 7*r(g). Calculate q(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxecchhxcee. What is prob of picking 2 c?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 460*z - 2*z**2 + 316*z + 968 + 3*z**3 - 348*z wrt z.\nAnswer: 9*z**2 - 4*z + 428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 26*x**2 + 10*x - 11. Suppose j - 7 = k, -19 = 3*k - j - 0*j. Is r(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1279697, 1279668, 1279639?\nAnswer: 1279610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5953?\nAnswer: 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12282119?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - i**2 + 2. Suppose -8 = -2*s - 4*p, 5*p = 4*s + p + 8. Let k be n(s). Suppose 5*q = 18*q - 52. What is the greatest common factor of q and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2013 and 14445959?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = w + 79 + 128, 3*l - 192 = -4*w. Let f(q) = -q**3 - 26*q**2 - 41*q + 178. Calculate the smallest common multiple of l and f(-24).\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3529 is divided by (55\/(-20))\/((-5)\/20).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 469 and 70987.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b214 + 3?\nAnswer: -b211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -7.9999963. What is u rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-19))\/i**(-3\/13) assuming i is positive.\nAnswer: i**(263\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 814*y**3 + y - 2300. Let a(f) = 1631*f**3 + f - 4602. Let c(b) = -4*a(b) + 7*w(b). Find the second derivative of c(t) wrt t.\nAnswer: -4956*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, r: 1, s: 5, u: 3}. Give prob of sequence usr.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5*m - 50, m - 20 = -m - 3*d. Calculate the least common multiple of m and (0 + 2)*-1 - -10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 13*o + 4. Let f be y(-11). Let r be 356\/18 + (-4)\/f. Solve 0 = -4*x + 3*q - 7*q, -x + 4*q - r = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 669 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -2*m - 103, m + 304 = -4*m + 3*s. Let i = m + 296\/5. Which is smaller: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 10, 35, -1\/4, 0, -0.2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -199061?\nAnswer: 2\/199061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1854 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 6*p - 4. Let i be a(2). Let j(g) = -g - 5. Let s be j(-6). Let v be 12\/8 - s\/(-2). Solve 0 = 5*t - t - i, 2*r - 3*t = -v for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**42*s\/(s\/((s**(-20)*s)\/s))*s*s*s*s assuming s is positive.\nAnswer: s**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hthttthphptttt. Give prob of sequence tp.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 58 = 4*u, -n - n = -2*u - 28. Suppose -28 = 2*y + 6. Let v = y - u. Let s(i) = i**2 + 3*i - 5. Determine s(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 3753.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -408036, -405691, -403346, -401001, -398656, -396311?\n\"Answer: 2345*z - 410381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2*(4 + (-55)\/20))\/((-35)\/28). Put -5\/3, c, 5, -1\/1220 in increasing order.\nAnswer: c, -5\/3, -1\/1220, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3\/13, 1, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s - 2*s - 2*s)*(-81*s + 506*s - 903*s) as h + l*s + d*s**2 and give d.\nAnswer: 478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -14*w**2. Let y(l) be the second derivative of -7*l - 1\/3*l**3 + 0 + 0*l**2. What is y(s(r))?\nAnswer: 28*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -180735\/8 < -22591?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197559.\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 137406\/71357 + -256\/499. Let i = 16\/13 - f. What is the nearest to 1\/6 in -6, i, -0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 2*g**2. Let h(i) = -6*i**3 + 11*i**2. Suppose -k + 9 = 3*v, -3*k - k = 4*v - 12. Suppose k*n = 4*n - 44. What is n*a(x) + 2*h(x)?\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 0.4 (c) -63 (d) 0.14 (e) 39\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.000162l in millilitres?\nAnswer: 8000.162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y = -21*y + 1184. What are the prime factors of y?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -2. Let m = 3 - g. Is 10 a factor of (-2)\/m + -3 + 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 + -3 - (-1875)\/(-125)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cmxoenc. Give prob of picking 1 o and 1 n.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n**3 - 4*n**3 + n**3 + (2*n - 2*n - 3*n)*(-3 + 5*n**2 + n + 6*n**2 - 16*n**2) to the form q*n**2 + y*n + x*n**3 + z and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58\/(-4) - (5 + -14 - (-95)\/10).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 3*a**2 + 0*a - a + 3)*(3*a + 0*a + 6*a + (-4*a + 2*a + a)*(4 - 2 + 0))*(0 - 1 - 1)*(0 + 0 + 4) to the form r*a**2 + y*a + c*a**3 + s and give r.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -709*s + 5969. Give h(9).\nAnswer: -412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 9:40 PM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/10*(-2)\/(-4). Let z = 87 - 85. What is the second smallest value in -1\/3, o, z?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12993530054 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q - 3*q - 2*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/235460 and -73\/6828340.\nAnswer: 6828340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 3*i + 1. Suppose -3 = -5*n + 7. Let c be k(n). Let z = 0.1 - 0.2. Is c > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s - 1 + 7*s - 15*s + 0*s + 6*s. Suppose -5*m + 3 = -2. Let u(h) = h - 2. Give m*t(r) - u(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5402 is divided by 1628.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 202259952 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 66.36 - 66.86. What is the second smallest value in 2\/7, -0.4, 2, -8, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y + 122 = 2. Let b be 12*(0 - (-18)\/(-120))*y. Solve -2*f = -b*f + 35 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -114542 + 114554. Suppose 5*l - 29 = 1. What is the remainder when (-2)\/(-1)*57\/l is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of 3\/2*y**3 - 11*y**2 + 20 + 1\/12*y**4 - 2*y. Factor m(n).\nAnswer: (n - 2)*(n + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 68928 and 68928 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.18 - -8.78. Let f = k + -8. What is the nearest to 2\/5 in f, -0.5, 3\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/6)\/(2\/(-3)). Suppose -4*x - 45 = 19. Let o be x\/(-36)*(-3)\/2. Which is bigger: z or o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -821 + 1170. Suppose 107 = 2*z - c. Let k be (-4)\/26 - z\/546. What is the second smallest value in k, -2\/3, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59 + -55. Suppose -2*n - 18 = -5*j, 0 = j - 0*j - 2*n - 2. Solve 4*q = a + b, -j*a - a - 20 = -4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 5*b**2 + 85800*b - 117227520 = 0.\nAnswer: -18432, 1272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 24, 73, 5, -2 in descending order.\nAnswer: 73, 24, 5, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k. Let v(i) be the first derivative of 1103*i**3\/3 - 3252. What is w(v(x))?\nAnswer: 2206*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47 + -51. Let d = 2 + -2. Let q = -0.5 + d. Which is the closest to -0.1? (a) q (b) n (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6560126 (base 8) to base 3.\nAnswer: -10022111010210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 6:17 AM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.2 (b) -2\/13 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x + x - 3 - 3*x. Let d be y(-5). Suppose 3*n - 61 = -2*s - 42, 5*n + 3 = s. Solve d*m = -2*m - s for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*w + 2646587 = -2847551. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j**3 - j**2 - j. Let p be g(-1). What is the derivative of -w**2 + 31 - 30 + w**2 + w**p wrt w?\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11597970 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -559, -1894, -4491, -8770, -15151, -24054?\nAnswer: -35899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2767 and 2?\nAnswer: 2.2767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(55)\/sqrt(5))*-3.\nAnswer: -3*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 302312 + -1201320?\nAnswer: -233002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 271, 281, 279, 259, 215?\n\"Answer: -k**3 + 17*k + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -11 (b) 6 (c) 3\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (185\/(-555))\/((-2)\/60)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**3 + 74*k**2 + 85*k - 332. Let c be u(38). Solve c*w - 50 - 1\/2*w**2 = 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26263988?\nAnswer: 2, 367, 17891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/220 and -41\/180.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*t - 3. Let b(w) = -1. Let h(c) = 15*c - 1. Let j(z) = t*h(z) + 2*b(z). Calculate the remainder when 26 is divided by j(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -i - 6, -5*a + 8*a = -3*i for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 - (-25 - -27) - (-11 + 16)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5067 at most 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 - 80 = -10*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 75*p - 34*p - 39*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(36)\/sqrt(192))**2 - (sqrt(363) + 1*sqrt(363) - sqrt(3))**2).\nAnswer: -21117\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18912 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*c + 85*c - 25*c - 26*c - 415 to the form p + v*c and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 20*i + 9. Let b(r) = -10*r - 4. What is -5*b(c) - 2*w(c)?\nAnswer: 10*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 73576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*x**2\/2 - 223*x\/10 + 3\/5 = 0. Calculate x.\nAnswer: -3, 2\/75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l + 1137 = -17*l. Let x = l + -325. Is x at least 58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -43, -158, -347, -610, -947?\n\"Answer: -37*q**2 - 4*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 224?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7782.\nAnswer: 2, 3, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 125964*i + 125955. Give w(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a + 647. Is v(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5*g**2 + 135*g + 4. Let r(d) = 4*d**2 - 102*d - 3. Let t(m) = 3*i(m) + 4*r(m). Let h(l) = 23*l**2. Determine h(t(k)).\nAnswer: 23*k**4 - 138*k**3 + 207*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 11*d**2 + 4. Let a be m(11). Solve 2*t - 12 = -a*o, -5*t + 3*t = -4*o + 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62822 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1893659267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4566 - 34b35?\nAnswer: -3058b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3022 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.83 - 0.9. Let r = 0.23 - k. Let s be 2 - 4\/(-18) - 2. Which is the closest to 2\/3? (a) r (b) s (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x**2 - 15*x - 39. What is d(-4)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 387\/782 - -2\/391. Let g = -33 + 32. Let h = -10 + 14. What is the nearest to g in m, h, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 248166231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 23 = -3*x. Let q be 0 + 1*167 + 7 + x. Suppose 2*c - 77 = q. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 393 a factor of 46912410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2. Let z(o) be the second derivative of -o**5\/24 - o**3\/2 - 10*o. Let c(w) be the second derivative of z(w). Calculate t(c(h)).\nAnswer: 25*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0.8 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 14 = 0, -2*q = 4*f + 16 - 28. Factor 10\/3*m + f*m**2 - 4\/3.\nAnswer: 2*(m + 2)*(3*m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/90 and 145\/154296.\nAnswer: 771480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 11 + 8*a - 7)*(-14 - 2*a + 14).\nAnswer: -16*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -11*k**2 - 16*k - 8. Let g(t) = -5*t**2 - 8*t - 4. Let w(r) = 13*g(r) - 6*q(r). Let y be w(9). What is the units digit of (-3)\/y + (-106)\/(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 2\/9, 16.26, -3\/1766?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/7, 71.7, -1\/9, -2\/5.\nAnswer: -3, -2\/5, -1\/9, 1\/7, 71.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -6*d - 3. Suppose -5*r - 2*p - 4 = 0, 1 = 3*r - 2*r + p. Is h(r) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 1\/3*x**4 + 0*x + 0*x**3 - 1\/3*x**2 = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -555579940 divided by -1963180.\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 17.53 (b) 5 (c) -2 (d) 15 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a**2 + a + 1. Let k = 34 + -28. Suppose 5*b = 15, g - b + 3 = k. Let i be g\/4*4\/3. Determine r(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*d = 0. Suppose d = v - 109 - 21. Suppose l = 4*b - v, 3*b + 0*b - 103 = -2*l. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 19468*g**2 - 1. Let c(w) = -2*w**2. Calculate r(c(d)).\nAnswer: 77872*d**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + sqrt(156)\/sqrt(3) + sqrt(39)\/sqrt(3)*5 + 5 + (sqrt(117) - sqrt(117)*1))**2 + 0.\nAnswer: 80*sqrt(13) + 857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = q + 2. Let y be (-2)\/((-14 - q)*-1). What is the biggest value in 4, y, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 - (-5 + (-6)\/(-12)*14). Let y(n) be the second derivative of 3\/10*n**2 + 0 - 1\/20*n**d + 0*n**3 + 5*n. Let y(p) = 0. What is p?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/5, 24, -22, -0.3, 1\/2, -110, 13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27184279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-1)*1\/(-3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -23b (base 13) to base 3\nAnswer: -112101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -326162*h - 173336?\nAnswer: -326162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9548078 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 0.1, 2, -1.1, -6, -0.2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-70)\/(-6))\/((-3)\/(-630)). Let f = d + -1450. What is f rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6341*s - 2652*s - 2178*s + 6921*s + (-1 + 2 + 1)*(-s - 2*s + 4*s)*(3 - 2 - 2).\nAnswer: 8430*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -1, -6 in decreasing order.\nAnswer: 3, 1, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 49681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**3 + 9*l**2 + 9*l + 8. Give v(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 7*a**2 - 54*a + 108. Let h(n) = 3*n**2 - 24*n + 48. Let y(r) = -8*c(r) + 18*h(r). Let p(u) = 2560*u. Calculate p(y(t)).\nAnswer: -5120*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 6:55 AM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -161*x - 16. Let y(k) = 79*k + 8. Give -6*q(u) - 13*y(u).\nAnswer: -61*u - 8","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -1 - (-106 - -113)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.92 - 1.08. What is the biggest value in -1\/76, 1, r, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2024, 8026, 18044, 32078?\nAnswer: 50128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k - 2991361 - 985337 - 1223302 - k**3 - 2*k. Let t be u(0). What is t rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (-15 + 26 + -13 - (-1 - 1))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 703*s**2 - 3*s - 698*s**2 + 3*s.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 185, 3, 3\/5 in descending order.\nAnswer: 185, 3, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1878403?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**3 + 110*a + 7*a**2 - 499*a - 7*a**2 + 94*a + 127*a.\nAnswer: -a**3 - 168*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1.9, 2\/23, 2\/9, -0.068, 2\/21?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001697 to 7 dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 d when three letters picked without replacement from {m: 4, f: 2, r: 3, i: 1, d: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8108, 32416, 72926, 129638, 202552, 291668, 396986?\n\"Answer: 8101*o**2 + 5*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.009 + -1.089. Let i = -0.08 - u. Let v = 704\/9 - 78. What is the closest to -1\/2 in v, i, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbeb when four letters picked without replacement from {b: 4, o: 7, e: 4}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 625 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 13. Suppose -2*b = -5*n + 11, 5*b + 4*n - 10 = 12. What is the nearest to 0 in 2\/3, b, t?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5*n**2. Let y be w(1). Let v(u) = u + 310*u**3 + 5*u + u**2 - 2 - y*u. Let l be v(6). What is l rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5748, -11434, -17058, -22620, -28120, -33558?\n\"Answer: 31*z**2 - 5779*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9548901 and 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 66225*w - 331072. Determine c(5).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192509750?\nAnswer: 2, 5, 770039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: c3 (base 14) to base 3\nAnswer: 20100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**2 - 62*n - 49. Let u be h(-30). Let g(v) = 2*v**3 + 6*v**2 + v + 4. Is g(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4191 and 78573?\nAnswer: 9978771","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -30*h + 31*h - 19, -i = -5*h. Sort h, -2, 3 in descending order.\nAnswer: 3, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in -2, -3, 3\/40, 4.675?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 2*r + 10 = -2*o, r - 2 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -5*x**2 - 2*x**2 + 10*x**2 + 3*x**2 + 10*x**2. Let k(y) = -3*y**2 + 5*y - 5. Let v(m) = -m**2 - m + 1. Let q(j) = -k(j) - 5*v(j). Give d(q(z)).\nAnswer: 1024*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*k**2 - 3*k**2 + 17*k**4 - 2*k**4 wrt k.\nAnswer: 360*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/46 and -7\/14630330.\nAnswer: 336497590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-5))\/((-6)\/(-255)). What are the prime factors of (-1)\/(48\/m - 1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*k**5 - 3*k**4 + 3*k**4)*(2 - 4 + 0) - 2*k**5 + 2*k**5 - 2*k**5)*(2 - 2 + 4).\nAnswer: 8*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 54864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21853, 43413, 64973?\nAnswer: 86533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 2 = 3*z, -12 = -5*z - s - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**5\/5 + 1158714*b**4\/5 + 4634838*b**3\/5 - 2317432*b**2\/5 - 13904511*b\/5 + 2085678 = 0.\nAnswer: -1158710, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t**3 + 221*t**2 - 68*t - 879. Calculate m(-74).\nAnswer: -1323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 3:12 AM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (30\/(-8))\/3*3\/15. Which is the closest to 7? (a) l (b) -0.3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from gszspzgssssppvi?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -7*k + 63. Let f be j(9). Suppose -5*t = -3*w + 1040, f = 4*w - 2*w - t - 698. List the prime factors of w.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -2\/5 (c) 0.075 (d) 1\/51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 - -62. Let w be -4*(d\/(-8))\/(-5). Let n be (-1397)\/(-55) + (-6)\/w. What is the greatest common factor of n and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 - 580467.\nAnswer: -580467.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -191.17 - -190. Let t = s - -0.66. Let k = t - -0.21. Which is the smallest value? (a) 2 (b) k (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 11, k: 9}. What is prob of sequence kkk?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163094501 is divided by 83?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 13, f: 5}. Give prob of sequence fb.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6472, -5308, -4348, -3694, -3448, -3712, -4588, -6178?\nAnswer: -8584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s + 5. Suppose w = -101 + 99. Let m be q(w). Let d = -0.02 - -14.02. Which is the closest to d? (a) 3\/4 (b) -0.3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4956019283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-10))\/(294\/315). Is -0.2 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9065 and -0.5.\nAnswer: 9064.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*b**2*g*j**2 - 5*b**2 - 2*b*g*j**2 + 67*b*g - 31*j**2 - 23 with respect to g.\nAnswer: 8*b**2*j**2 - 2*b*j**2 + 67*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 15209*o - 6327*o - 6702*o in the form c + p*o and give p.\nAnswer: 2180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qeqttttwww. Give prob of picking 1 w, 1 q, and 1 t.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + a - a)*(9 - 28 + 50 + 50).\nAnswer: 81*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -40 (b) 2 (c) 3\/2 (d) -3 (e) 1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 3, 0*h = h - 2*u - 6. Solve 0*l = l - h for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -148819, -293840, -438861, -583882, -728903, -873924?\n\"Answer: -145021*l - 3798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-10))\/(2\/20). Suppose q + 4*p = 4 + 2, -2*p - 6 = -x*q. Solve -5*m - q*z + 3*z + 30 = 0, 5*z = -4*m - 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -110106990300117037\/117300 + 938678519177. Let j = -6058\/21 + 59216971\/205275. Let c = j + t. Find the common denominator of -31\/18 and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = 2*k - 135. What is the least common multiple of 15 and k?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 2*l. Let y(r) = 4*r**2 - 7*r. Let a(f) = -7*o(f) + 2*y(f). Let w(p) = 1. Let i(m) = -6*m**2 - 2. Let h(g) = i(g) + 2*w(g). Calculate h(a(v)).\nAnswer: -6*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 667545 (base 8) to base 7\nAnswer: 1625225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -2*r**4\/3 + 2*r**3\/3 + r**2\/2 + 7*r. Let q(c) = c**2 - c. Let v be ((-264)\/(-20) + -12)*5\/(-1). Give v*q(o) - w(o).\nAnswer: 2*o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 475029, 476221, 477413, 478605, 479797, 480989?\n\"Answer: 1192*h + 473837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1489486*v**2 + 63*v - 7765?\nAnswer: 2978972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-2 - -3) - (-104 + 110).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 39388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6199609 and 37999.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of 0*c**3 + 6*c**2 + 0*c + 0*c**4 + 1\/20*c**5 + 0. Let x(u) = -4*u. Calculate x(l(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 3*j - 12 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 19880004\/14 - ((-130)\/35 - -4). What is x rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/(-15))\/(6\/(-15)). Let c = 2 + f. Which is greater: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**3 + 211*s**2 + 464*s - 495. Calculate v(-103).\nAnswer: 4758","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.3, -188, -5, -238, 0.1, 1.4, -3?\nAnswer: -238","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2211439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 629*j + 3349. Give k(-5).\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, 4, -3, 0.3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10965\/27 + 1\/(-9). What is the greatest common divisor of o and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-3))\/((-18)\/(-24)) - (-4 + 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/19? (a) 3\/8 (b) 0.05 (c) 0.1 (d) 3.1 (e) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-8) + (-28)\/(-16). Let a = -101\/4 - -715\/28. Factor 2\/7*m**u - 4\/7*m**3 + 4\/7*m - a*m**4 + 0.\nAnswer: -2*m*(m - 1)*(m + 1)*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 4. Let l be (-2)\/(x\/(-15)*2). Let o(n) = n**2 + 4*n - 4. Let p be o(l). Let t(s) = 6*s + 1. Determine t(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c*h**2*n**2 - 23*c*h**2 + 42*c*h*n**2 + 3*c with respect to n.\nAnswer: 4*c*h**2*n + 84*c*h*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y**2 + 2*y. Calculate the least common multiple of c(-3) and 22.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**2 - 88*s - 26. Let y be i(18). Solve 3*b = 8*b - y for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28947 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j - j - 34*j**2 + 24*j**2. Let s(h) = -2*h. What is s(x(p))?\nAnswer: 20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**5 - 11640*n**4 - 414441*n**3 + 2763492*n**2 + 116655504*n - 895067712 = 0. Calculate n.\nAnswer: -3844, -28, 9, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 at most 1891\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a minute in milliseconds?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 11*k**2 - 3*k + 15. Let o be x(11). Let j = -16 - o. Suppose -j*d = -610 + 188. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -638*d**3*j**2 - d**3 + 189 with respect to j.\nAnswer: -1276*d**3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -251*n + 375*n = 31372. Solve -n*c = -242*c - 44 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rt when two letters picked without replacement from {m: 1, i: 1, r: 1, o: 1, s: 1, t: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + -19 + -15 + 47 - -14?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(7\/6)\/g*g*g**(-7)\/g)**40 assuming g is positive.\nAnswer: g**(-700\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2850167081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 8\/(-6 + 4). Let r(l) = 1 + l**2 + 1 - 5. Is r(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -825872 + 1553465596\/1881. Let b = 2\/171 - q. Put -0.8, 2\/13, b, -0.5 in ascending order.\nAnswer: -0.8, -0.5, b, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*j**3*y**3 + 2*j**3 - j**2 - 6*j*y**3 wrt y?\nAnswer: -39*j**3*y**2 - 18*j*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5*y = 8, -5*m + 466*y + 24 = 465*y. Calculate the highest common divisor of 2542 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2561 = p, 10647 = 5*p + 4*b - 2253. Suppose -p = -9*y - 785. What is the remainder when y is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -419840588.7238 - 0.4.\nAnswer: -419840589.1238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3928.\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -1124*i**3 + 11*i**2 - 35*i. Let j(m) = 375*m**3 - 3*m**2 + 10*m. Calculate -7*j(t) - 2*n(t).\nAnswer: -377*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -h**5\/30 - 223*h**3\/6 - 47*h**2\/2 - h - 40. Let b(r) be the first derivative of d(r). Let l(m) = -m. Give l(b(t)).\nAnswer: 2*t**2 + 223","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 4:14 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f - 3. Suppose -4*a + 26 = 6. Let j be t(a). Suppose 0*m + 18 = j*m. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*k - 2104 = -78*k. Suppose 0 = 5*h + 3*b - k, 6*h - 10*h = -b - 828. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*m - 60 = 151*m + 5*j, 5*m = 3*j + 62 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -712487 bigger than -712488?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -196 + 167. Let r be 10*1 - (-29 - o). Solve 3*l = l - r for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of 29\/2*a**4 - 98*a**2 + 8\/5*a**5 + 1\/40*a**6 + 56*a**3 + 0 + 0*a. Suppose q(n) = 0. Calculate n.\nAnswer: -28, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, v: 5, f: 3, b: 3, d: 1, c: 6}. Give prob of sequence bcdd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 596 a factor of 691266428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -8. Let k be 11\/2*6\/o. What is the highest common factor of 77 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 10 = 8. Let j be (-4 + q\/(-2))*-6. Let b be j\/(-2)*2\/3. Is 1 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of 0 + 1\/60*q**5 + q**2 + 1\/6*q**3 + 1\/24*q**4 - 20*q. Determine g(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 31 = -2*f, f - 82 = -5*q + 18. What is the highest common factor of 112 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -k**2\/2 - 4*k - 1. Let u(m) = m**2 + m + 1. Calculate the least common multiple of q(-7) and u(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6018593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -544*y + 1734*y - 477*y - 6895 = 516*y for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 186191712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 + -16. Suppose 105 = j - f. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16452 - -45329. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 17. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 2375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1797641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/2)*z)**49\/(z**2)**15)\/(z**(-2\/47)\/z**(-2\/3))**(-46) assuming z is positive.\nAnswer: z**(6545\/282)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -256*1*6\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (8 + -19 - -13)) + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -11*a + 22. What is t(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-18 - (-1 + -12))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)\/c**(-6)*c**(-1)\/(c**(-2\/7)\/c))\/((c**(-3\/7)\/(c\/(c*c**(2\/11))))\/((c\/c**(-1)*c*c*c)\/(c\/((c*(c*c\/(c*c**(-1\/5)))\/c)\/c)*c))) assuming c is positive.\nAnswer: c**(2977\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 19. Which is the closest to 0? (a) p (b) 5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 10. Suppose -5*n = q, -5*n = -4*q - 0*n + 25. Suppose 2*c - q*s + 2132 = 5*c, 0 = -t*s - 20. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/7 + (-247)\/28 - -1)\/(441\/2940).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -l + 51, 18 + 80 = 2*l - 5*r. Suppose -10*u + l = -7*u. Does 2 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 - -1421?\nAnswer: 1403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2034 (base 7) to base 9.\nAnswer: -870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36795, 36794, 36799, 36810, 36827, 36850?\nAnswer: 36879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 5*g - 175, 0 = 4*g - g + 5*z - 127. What is the second derivative of -17*j + g*j**4 - 2*j**5 - 34*j**4 wrt j?\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 + 30. Are -16 and v equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*p**2 - 2*p**2 - 35*p + 33 + 7*p - 32 + 7*p**2 + 28*p.\nAnswer: -8*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4932.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 280 and 206570?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 590 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/131 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 6*f + 5. Let y be w(5). Let a be (-34)\/y + 8\/48. Let z = -0.31 + -0.69. What is the closest to z in 1\/3, a, 1\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*p + 20*p + 84 = 0. Suppose 9*n - 2*f - 9 = 4*n, -f = 2*n - 9. Solve -m = 4*d + m - 2, -4*m = n*d - p for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 8*o + 9. Let h(l) = -4*l - 127. Let m be h(-34). Let i(q) = -20*q + 188. Let r be i(m). Calculate g(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 2*m + 5)*(-m + 6*m - 3*m) + (0 + 2 - 1)*(-2*m**2 - 3*m + 3*m) + 0 + 0 - m**2 as c*m**2 + t*m + q and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5762863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3043628*d - 1136. Let g(w) = 26816*w + 10. Calculate -568*g(x) - 5*n(x).\nAnswer: -13348*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 124.374 - 106.37336. Let t = -0.2 - -18.2. Let b = t - p. Round b to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 25438 - 72?\nAnswer: 25386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/57 and 20\/9.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -1, -8865.\nAnswer: -8865, -18, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -101.5 + 101. Which is the second biggest value? (a) 17 (b) r (c) 4 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -341 + 461334?\nAnswer: 460663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -7*m - 30. Let w = 18 + m. Suppose -4*u + 7575 = -w*n, 0 = u + 3*n + 2*n - 1888. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2299836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2 + 4*(sqrt(425) + -1) + sqrt(425) + 5 + (-3 + sqrt(425))*6 + sqrt(425) + sqrt(425)*1 + -4 + sqrt(425).\nAnswer: -22 + 70*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 29 or 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4 - 2*r**2 + 3*r**2 - 3*r + 6*r**2 - 4*r**2. Let u(c) = -c**2 + c + 2. Let g(t) = 2*m(t) + 5*u(t). Let j be g(0). Is j > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67651 (base 13) in base 11?\nAnswer: -119130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of h**4\/24 + h**2\/2 + 2. Let k(r) be the second derivative of p(r). Let o be 1 + ((-2)\/(-2) - 7). Determine k(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*h - 17*h + 4*o - 111, -7*h + 690 = -o. What is the lowest common multiple of h and 90?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11, -14, -19, -26?\n\"Answer: -m**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3591 = 500*f + 591 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o**2 + 5695 - 5693 - 3*o + 7*o**3 - 2*o**2. Calculate the least common multiple of 33 and p(2).\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12224497 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, f: 9, c: 1}. What is prob of sequence dcd?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.5 + 3. Which is the third biggest value? (a) 0.4 (b) f (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42 - -4?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2880) + sqrt(2880)*2)\/(sqrt(10) + (sqrt(1000) - sqrt(1000)*-1) + sqrt(1000) + sqrt(10)).\nAnswer: 9*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 177035, 8 in ascending order.\nAnswer: 8, 12, 177035","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -f**5\/20 + f**4\/2 - f**3\/3 + 2*f**2 - 14*f. Give t(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 101*f - 155. Let z(t) = 573*t - 933. Determine -34*n(c) + 6*z(c).\nAnswer: 4*c - 328","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -87736*b**3*h - 73814*h wrt b.\nAnswer: -263208*b**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2772107831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*b = -2*k - 60, b - k - 62 = 0. Find the second derivative of -l**3 - b*l**4 + l**3 - 1 - 260*l + 268*l wrt l.\nAnswer: -768*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-157))\/(4\/(-6)*9\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of t**6\/60 + 3*t**5\/40 + t**4\/8 + t**3\/12 - 37*t. Factor r(i).\nAnswer: i*(i + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 3\/13, -14486, 1 in increasing order.\nAnswer: -14486, -0.2, 3\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 191616 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -69 and 5.\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/30948 and -17\/444.\nAnswer: 1145076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1561 (base 8) in base 12?\nAnswer: -615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 5 + 12 + (-3 - 1 + 2)*(0 - 1 - 2))*(y + 5*y - 4*y) in the form t + i*y and give i.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 129*t - 17. Let j(b) = -191*b + 25. Determine -7*j(v) - 10*s(v).\nAnswer: 47*v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -308, -1564, -4976, -11624, -22588, -38948, -61784, -92176?\n\"Answer: -180*b**3 + 2*b**2 - 2*b - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -677*o + 673*o = -4*f + 12, -7*f = -12*o - 21 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 507 + -507.3. Which is the closest to -19? (a) -0.4 (b) g (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 3564 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 16 = 3*a + 4*l, -3*l = -a - 17 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o**2 + 11*o**2 + 8*o**2 - 13*o - 9.\nAnswer: 11*o**2 - 13*o - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2938 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-7) - (-8)\/(-35). Let q be ((-29)\/((-725)\/20))\/(-4*1\/20). Which is the third smallest value? (a) y (b) 2\/3 (c) -2\/3 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 2*i - 16, -i - 5*z = -0*i + 6. Let p(t) = -t**3 + 7*t**2 - 2*t + 6. Does 23 divide p(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(30\/(-8)))\/((-55)\/(-550))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 296495?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 11:27 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 433 (base 15) in base 5?\nAnswer: 12243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c6ac (base 16) to base 5.\nAnswer: 12211041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10694.0028904 - -10694. What is p rounded to four decimal places?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h - 3*h + 0*h + 3 + 6. Let a be 1\/(-2) + 1\/2. What is the remainder when 17 is divided by x(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (132 + 101 + 3)*(-2 + w + 0*w + 0)*(0*w**3 + 2*w**3 + 6*w**3) to a + m*w**2 + n*w**4 + c*w**3 + z*w and give c.\nAnswer: -3776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 5*i = -a + 322, 3*i + a = 194. Suppose 3*u + 3*f - 474 = 0, 3*u + 5*f = 3*f + 476. Calculate the greatest common divisor of u and i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 12:45 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16835 + b9?\nAnswer: -16749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 7\/9, -209\/5?\nAnswer: -209\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 191 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3\/8 + 7*b**2\/2 + 25*b\/8 - 25\/4.\nAnswer: -(b - 10)*(b - 1)*(3*b + 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14\/467, 0.4, 1\/2, 12439.\nAnswer: -14\/467, 0.4, 1\/2, 12439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4)*h\/h**(-5\/8)*h)\/((h**(-3\/5)*h)\/(h**(-13)\/h*h)) assuming h is positive.\nAnswer: h**(-591\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k**2 + k + 6. Let c be (-30)\/4*4\/(-5). Let h be m(c). Suppose -p = p - h. Does 13 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -960 = -3*c - 144. Suppose -5*u + 13*u + c = 0. What is the remainder when 117 is divided by (-574)\/u - (-2)\/17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, y: 3, p: 8}. Give prob of sequence dyyd.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*l - 4*l + 0*l + (4 - 2 - 1)*(3*l + 2 - 2))*(3 + 1 + 0 + (-2 + 1 + 0)*(13 - 22 + 11)) + 2*l + 0 + 0 to the form i*l + t and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 + -1861730\nAnswer: -1861729.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 14\/6)*-3*2. Solve -12*m**3 - 6*m**2 + 2*m**4 + 14*m**2 + u*m**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-133 - (-272 - -118)) + (-134 - (4 - 0))?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 2 = 0, -67*s - 14 = -2*n - 81*s for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 5*q**2 + 24*q + 114. Let u be n(-4). Suppose 0 = 2*v + 2*v. Solve -u*h = -v*h + 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-8)*56\/(-98)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 5:41 AM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(375)*4 + (sqrt(135)\/(sqrt(27)\/sqrt(3)) - sqrt(15)))\/(-3*sqrt(5)*-3 + (-2*sqrt(320) - sqrt(320))).\nAnswer: -4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15599063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 101969 to the power of 1\/2, to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 4. Solve 3*l - g = 2*g + 9, -18 = 4*l + u*g for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67 - -42. Does 15 divide 4\/10 - 1090\/m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1089*k**2 - 1541*k**2 - 1134*k**2 - 380*k**2.\nAnswer: -4144*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8226 and 126?\nAnswer: 57582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/6*0*1\/(-2). Are f and 2\/47 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 209 = -3*s + 1036, 0 = -3*y - 5*s + 2473. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 88225*i - 2734961. Calculate r(31).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 795\/20 - (-1)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b + a9?\nAnswer: b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 38*c - 887. Calculate a(-17).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -208036, -416125, -624224, -832339, -1040476?\nAnswer: -1248641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = i - 4*i. Let y = 1 - i. Calculate the greatest common divisor of 112 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fxx when three letters picked without replacement from xffaaxfaff?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 - 2456\/280)\/(-1). Which is smaller: k or 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4*sqrt(1331)*-2 - (-4 + 2*sqrt(1331))).\nAnswer: 12 + 198*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -9\/2*g**2 - 3*g - 1 - 1\/3*g**3. Let j be (-18)\/(-150) - 10962\/1350. Determine d(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) - (sqrt(162) + -3 - sqrt(162)))**2 - ((sqrt(18)*1)\/sqrt(9))**2)*5.\nAnswer: 270*sqrt(2) + 845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**5\/5 + 85*x**4 - 6622*x**3\/5 + 32014*x**2\/5 - 45857*x\/5 + 20041\/5 = 0.\nAnswer: 1, 7, 409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**2 - 3*q**2 + q**2 + 2*q - 2*q - 17*q**2 + (-5*q**2 + 4*q**2 + 0*q**2)*(-6 + 2 + 0) + 8*q - 8*q - 9*q**2.\nAnswer: -21*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 439063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -22, -1, 2, 146 in descending order.\nAnswer: 146, 2, -1, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - sqrt(9)\/sqrt(3)) + -2 - 1*sqrt(12)\/sqrt(4)) + (-2*-3*sqrt(21))\/sqrt(7).\nAnswer: -2 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pzzppkzpp. What is prob of sequence pzpk?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18835072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1896*j + 17589*j**3 - 3782*j + 1886*j.\nAnswer: 17589*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18931 - 15757. Calculate the greatest common divisor of m and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 18 = -5*j, 11*q - 13*q + 2*j + 12 = 0. Suppose 6 = -5*n + 2*c, 2*c - 3 = -5*n + c. Suppose 3*i + 0*i - 15 = n. Put q, -3, i in decreasing order.\nAnswer: i, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n**2 + n - 8. Let p(d) = -5*d**2 + d - 7. Determine 5*p(s) - 4*q(s).\nAnswer: -5*s**2 + s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6459560859 to the power of 1\/2, to the nearest integer?\nAnswer: 80371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 35a9a (base 12) to base 2\nAnswer: 10001101011010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**(-2\/29)))\/t*t**(-2\/11)*t*t\/t**(1\/4)*t**(-2\/9)*t assuming t is positive.\nAnswer: t**(16249\/11484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8800 and 3168.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -153054 divided by 66?\nAnswer: -2319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*n = -154*n + 96. Sort n, -12, -8 in descending order.\nAnswer: n, -8, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 844 + -842. Let l(t) be the third derivative of -2*t**f + 1\/30*t**5 + 0 - 1\/6*t**3 + 0*t + 0*t**4. What is l(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/42 - (-4)\/6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9445 + 9447. Solve 4*h + 34 - 30 = -2*v, -18 = 4*v - b*h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 58 - 23?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*i + 70*i = 16. Let r be (i\/(-6))\/(-3 + 35\/15). What is the smallest common multiple of (9\/(-6))\/(r*4\/(-8)) and 23?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -119 (c) 0.01 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40062 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 768.7018 to the nearest 10.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -3*v - 28. Let w = 10 - v. Let a = w + 14. Round a to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-24))\/(53\/(-636)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 5*z + 1, 5*w - 3*z - 80 = -0*z. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 4*w**4\/3 - 5*w + 8. Let s(t) = -2*t**2. What is d(s(a))?\nAnswer: 64*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 634*k + 1264. List the prime factors of n(11).\nAnswer: 2, 3, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 89749*p - 62251 wrt p?\nAnswer: 89749","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*w**5 + 2160*w**4 - 18865*w**3 - 71445*w**2 - 57330*w = 0. Calculate w.\nAnswer: -3\/2, 0, 13, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 6. Suppose -4*z = z - 520. Suppose -5*j = -3*p - z, 3*j + g*p - 45 = -2*p. Does 16 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -225 - 6*c - 2*c - c**2 + 45*c**3 + 469 - 249 to the form v*c**3 + h + d*c + q*c**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4222219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 19\/((-342)\/90) + 1*14325005. What is h rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 222*l - 445. Let d be k(-2). Solve -2*s + 4*g - 2*g = 10, 3*g - d = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, 0.04, 4, -0.5, 0.5, -2 in descending order.\nAnswer: 4, 0.5, 0.04, -0.5, -2, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 43*f + 4. Is v(-22) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 731 = 3*d + 4*s, -2*s - 8 = 0. Let a = -142 - d. Solve 2*k - a = k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -621b (base 13) to base 15\nAnswer: -402e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 6*p**2 - 3. Let t(b) = 126*b - 502. Let j be t(4). What is u(j)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/18009 and 46\/1761?\nAnswer: 10571283","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 594?\nAnswer: -2376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 2. Let b be 167*(-25)\/(-75)*(-1 - -4). Suppose -f*d - 4*g = -b, -6*g + 8 = -2*g. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z**2 + 9*z + 2. Let a(x) = 2*x**2 + 4*x + 1. Let b be (-2)\/(-5)*(-5 + (4 - 4)). Determine b*f(h) + 5*a(h).\nAnswer: 2*h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1080052 divided by 606.\nAnswer: -540026\/303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1154 and 1649066?\nAnswer: 1154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.1 (b) 5 (c) -3 (d) -0.6 (e) 778\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*t**4 + 32*t**4 + 22*t**4 - 19*t**4 - 38*t wrt t.\nAnswer: 540*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 108*i**2 + 926*i - 29978. Calculate x(-118).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 0, 4*h + g - 12877 = 2*h + h. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - f. Let c(a) = 104*a**3 + 64*a. What is 3*c(h) + 192*m(h)?\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.05851 + -1.27851. Which is the nearest to 7? (a) -1 (b) 0.2 (c) z (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r + 3 - 2 + 2)*(-46*r**2 + 90 - 90) + 6*r**3 - 11*r**3 - 10*r**3 as s*r**3 + a + b*r + p*r**2 and give s.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 38*l**2 + 42*l - 233. Calculate q(37).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 7. Differentiate 1 + 2*t**4 - d*t**4 + 1 - 12 wrt t.\nAnswer: -24*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1989, 3020, 8029, 13038?\nAnswer: 18047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2927 and 990102?\nAnswer: 987175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*u - 118*u = 0. Solve -p + u = 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 18\/5 of a tonne?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + 4\/(84\/87). Which is smaller: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*r + 22*r + 67*r)*(r + 5*r - 7*r).\nAnswer: -112*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 e when two letters picked without replacement from {n: 2, u: 2, l: 1, x: 1, i: 2, e: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 601767831 rounded to the nearest ten thousand?\nAnswer: 601770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 537*l**2 + 100*l + 184. Give x(-2).\nAnswer: 2132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-79*w - 85*w**5 + 43*w + 36*w).\nAnswer: 170*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 4*h - 16, 4*h = 6*g - g - 16. Let b = 5 - 4. Suppose l + 4*l = -5*o, -3*o = -4*l + 21. Sort g, o, b in decreasing order.\nAnswer: g, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/18*(10\/2 - -1). Suppose 2*b + p - 6 = -2, -3*p = -3*b + 6. Let d(u) = 2*u**2 - 2 + 2*u - 3*u**b + 1. Calculate d(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 0*j + 60. Let l = -18 + j. Suppose -l*b + 3*c = -47, 4*b - 9*b + 4*c + 114 = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8851, 17726, 26613, 35512, 44423, 53346, 62281?\n\"Answer: 6*m**2 + 8857*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -198*o**3 - o**2 - 2*o - 1. Let f be h(-1). Let p = f + -75. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 815, -3212, -7239, -11266, -15293, -19320?\nAnswer: -23347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 54*l**2 + 3*l + 2*l**2 + 0*l - 4. Let p be y(-2). Let o = -120 + p. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5893 (base 11) to base 6.\nAnswer: 55433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1818229338 to the nearest integer?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5849, 47028, 158681, 376010, 734217, 1268504?\n\"Answer: 5867*x**3 + 35*x**2 + 5*x - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -425 + 452. Suppose 3*g - 32 = -g. Calculate the remainder when v is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -715*l - 234*l + 77*l + (4 + 3*l - 4)*(1 - 1 - 1).\nAnswer: -875*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2330, 2399 in decreasing order.\nAnswer: 2399, 1, -2330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5*a = 130, 73*y - 76*y + 62 = -5*a. Solve -17 = -5*c - g, -5*c + y*g - 21*g = -9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (17 - -14 - -9)*(-3)\/((-6)\/5). Suppose 31 + 9 = 2*r. Calculate the greatest common factor of r and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 134 and 25594?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1336)\/24)\/((-1)\/(-51)). Let x = -1878 - y. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 228904 and 30628?\nAnswer: 1612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u + 2. Let x be q(0). Let h(a) be the first derivative of a**5\/20 - a**4\/12 - 8*a**3\/3 - 13. Let l(z) be the third derivative of h(z). Give l(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f + f + 162377 + 0*f.\nAnswer: 2*f + 162377","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 10 - 81. Suppose -2*s = 3*s + 3*v + 242, -4*s - 3*v = 193. Let q = s - y. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -95107*j**2 - 5. Let y(o) = -2*o. What is l(y(a))?\nAnswer: -380428*a**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 6:22 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 3*f - 50 + 739, 337 = 2*a + 3*f. Calculate the greatest common factor of a and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 0*w + 0 + 3\/7*w**5 - 12\/7*w**3 + 24\/7*w**2 - 6\/7*w**4 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-4)*4 + -13. Let s be (4 - 6 - 2)*33\/(-858). Which is the closest to 0.1? (a) 0 (b) s (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13238670, -13238668, -13238656, -13238628, -13238578, -13238500, -13238388, -13238236?\nAnswer: -13238038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009391 rounded to 4 dps?\nAnswer: -0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 46006 - 150?\nAnswer: 45746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r + 6*r + 0*r + 4 - 4 - 2*r + (-3 - 3 + 4)*(2*r - r + 0*r) + (-129*r + 205*r + 221*r)*(3 - 5 + 4).\nAnswer: 592*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x - 7. Let y(l) = -76*l - 90. Let n(z) = 76*z + 60. Let f(v) = 3*n(v) + 2*y(v). What is f(a(w))?\nAnswer: 76*w - 532","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {h: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 - -4 - (-17 + (2 - (7 - (18 - 4))))?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 3*l + 1838 - 1821, -l - 4*c = 29 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*f = 1482, 2*o - 1445 = 4*f + 55. Let k = 4 - 1. Suppose o = k*s - s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02*2.14.\nAnswer: 0.0428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/105*15\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2578 + 100*a - 12*a - 2576 + (-2 + 3 - 3)*(a + 4*a - 4*a) + 6*a + 2*a - 2*a.\nAnswer: 92*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15375 to the power of 1\/2, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from ssspspsss.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 517*h**3*o + 1916*h**3 + 23*h**2*o + 2*h**2 - 31*h - 4*o + 4 wrt h.\nAnswer: 3102*o + 11496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 9:40 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxhzxhxhhm. Give prob of picking 1 m and 1 z.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/37 (b) 0 (c) 0.4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 x when three letters picked without replacement from hehhpahhxppxx.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z + 24. Suppose -3*u + 4*x + 20 = 0, 8 = 2*u - 2*x - 6. Let i be j(u). Suppose i*r = 6*r + 1042. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 5*u - 1 = 0, -5*h + 4*u + 258 - 253 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10210, -10206, -10190, -10156, -10098, -10010, -9886?\nAnswer: -9720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 952168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*l + 3*l. Suppose -2*h + h = l. Let v be h\/(-48) - 594\/16. Round v to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4 = -2*k, -g = 2*k - 6*k + 12. Let z = g - 0. Let r(c) = -2*c + 1. Let b be r(-1). Solve b*i + 2*d = z, d - 15 = -5*i + 6*d for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -1)*4\/(-24).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 421841 (base 16) to base 13\nAnswer: b8878b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2063205176 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.01765 - 0.028545. What is c rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-45)*(-20)\/312)\/((-5)\/30)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1157634565 to the power of 1\/5, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 11:42 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**3 - q**2 - 72*q**3 - 2*q + 1 + 2*q**3 as g*q**2 + i + f*q + a*q**3 and give a.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3\/(216\/325160) + (-2)\/18 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1562897?\nAnswer: 7, 29, 7699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 3*t + 4*q - 12 = 0, 3 = -q. Suppose 2*o + t = 5*o. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 4*r**2 + 2*r**2 - 4*r**3 - 9 - r**3 + 24 in the form u*r + s*r**2 + j + z*r**3 and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9559.0796 rounded to the nearest 100?\nAnswer: 9600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -6*p - 1. Let a be f(-1). Suppose -15*q - 13 = -43. Solve -a = l - q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k + 22. Calculate the lowest common multiple of y(-5) and 16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321119823 to the power of 1\/5, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*t = -221 - 216 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 738*t - 737*t = -8 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - g + 2 = -0*r, -14 = -2*r + 2*g. Suppose 0 = 3*p - 8 - 7. Suppose r*i - 13 - p = 0. Is i a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 4, s: 1, d: 1, m: 1, z: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 44 - 54*r - 44 - 181*r as t*r + u and give t.\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 689904345 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -1\/11 (b) -3 (c) -0.19 (d) 1\/10 (e) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, 35\/6, -1\/28, 7, 1?\nAnswer: 35\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 4:59 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7884110?\nAnswer: 2, 5, 13, 60647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10729\/878 >= 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 6910*n - 22. Let g(k) = 2303*k - 8. Calculate 11*g(z) - 4*t(z).\nAnswer: -2307*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 11*p. Suppose 0 = -0*d + 10*d - 220. Suppose h + 20 = d. Let i(j) = -2*j**h + j**2 - j**2. Determine i(w(z)).\nAnswer: -242*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 p when two letters picked without replacement from {v: 5, p: 5, t: 2, k: 2, q: 5}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -45 + 193a?\nAnswer: 18c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -445 + 454. Let u = -13 - -17. Suppose -u*m - 435 = -v*m. List the prime factors of m.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -237\/89 > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2948 * -12\nAnswer: -35376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s - 2. Let v be k(3). Let x = 187 + -172. Let u(y) = -y**2 + 15*y + 3. Let m be u(x). Solve -v + m = -2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -51*i - 139. Determine d(-1).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5049?\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -13*n + 5*n + 4*n + 3*n - 1 + 0*n + n**2. Let s(h) = 4*h**2 - h - 5. Give -3*l(a) + s(a).\nAnswer: a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 3*m**2 + 3*m - 4. Let i be k(3). Which is the closest to -1? (a) -0.3 (b) -0.1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k**2 - 5*k + 17 - 4*k**2 - 8*k. Let c be n(-15). Is -13 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113 (base 5) to base 9.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 241765 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 25*b**2 + 1. Let j be 8\/(-52) + 84\/39. Suppose -j*c + 4*u + 18 = 0, -3*c + u = 3*u + 5. What are the prime factors of d(c)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**3*z**3 - 20*j**3*z**2 + 59163*j**2*z**4 - 327*j**2*z**2 wrt z?\nAnswer: 6*j**3 + 1419912*j**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5*d + 1. Let v(f) = 2*f. Let k(l) = 7*v(l) + 3*z(l). Determine k(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 28*p**2 - 27552*p - 23873 - 9*p**3 + 974*p**2 + 5057 = 0.\nAnswer: -2\/3, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 697 and 1360?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.56456 * -26.6.\nAnswer: -15.017296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -23070.637566 rounded to the nearest 1000?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13418601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 206742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -1, -10, 193, -3, 5, -2 in decreasing order.\nAnswer: 193, 8, 5, -1, -2, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 210 - 209.7. What is the fourth smallest value in 3, u, 2, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -63*j**3 - 9*j**2 - 19*j + 74. Give a(2).\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-109)\/4)\/(((-37975)\/(-168))\/(-25) + 9). Which is the nearest to -2\/9? (a) x (b) -2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73713779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is 7.741951 litres in millilitres?\nAnswer: 7741.951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 14*h**2 - 12*h + 4. Let m(y) = -11*y**2 + 13*y - 3. What is -8*m(t) - 6*x(t)?\nAnswer: 4*t**2 - 32*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 9232 divide 2332077056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {o: 3, r: 7}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*y - 515166 = 0, -2*y + 22 = 30. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17051 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49162118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42288056.\nAnswer: 2, 41, 229, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18.3? (a) -18 (b) 0.2 (c) 2\/9 (d) 91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 189*y - 2 - 189*y - y**3 - 2*y**2 + 7. Let s be h(-2). Suppose -5*o + 2*z = -40 - 19, -5*z + 80 = s*o. What is the remainder when o is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*g = -132*g. Let a(w) = -w**2 + 6*w - 2. Let f be a(5). Solve -f*t + 7 + 7 = 5*m, 3*m - t - 14 = g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 55\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -22971098.03 rounded to the nearest 10000?\nAnswer: -22970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9509, 19048, 28639, 38288, 48001?\n\"Answer: m**3 + 20*m**2 + 9472*m + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81 and 1296?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and 73979958?\nAnswer: 4438797.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -6. What is the smallest common multiple of (u + (-21)\/(-6))*2 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 - 40 = -3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.5 (b) -18 (c) 47 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10952 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -s**4\/4 - 101*s. Let w(y) = 2*y**2. What is w(i(f))?\nAnswer: 18*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*y + 2*s = 660, -3*y + s + 660 = 0. Suppose 0 = -4*q - q + y. Calculate the greatest common divisor of q and 396.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -66?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -10, -59, -1, -5 in decreasing order.\nAnswer: 3, -1, -5, -10, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -24045359 to the nearest ten thousand.\nAnswer: -24050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 96, 114, 134, 156, 180?\n\"Answer: k**2 + 15*k + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6659 - 6665. Let y(u) = 35*u**2 + 11*u + 11. Let c(h) = 7*h**2 + 2*h + 2. Calculate m*y(g) + 33*c(g).\nAnswer: 21*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 10:10 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241*k + 129*k + 128*k - 14419568 = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/36245 and 61\/550?\nAnswer: 362450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**3 + q**2 - 2*q + 1. Let s be o(1). Suppose 3*p = -3*b, 0 = p - b - s - 6. Is 2\/p*2*39 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 78070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + u**2 + 2*u + 2. Give r(3).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 4*y - 216. What are the prime factors of (-616)\/(y\/6) - 0?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*o = 28, y + 5*o - 110 = -4*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 515, 925, 1115, 977, 403, -715, -2485?\nAnswer: -5015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v + 16. Suppose -3*j + 12 + 6 = 0. Calculate the smallest common multiple of 11 and f(j).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.002125 - -1.514325. Let q = 1.52 - d. Round q to four decimal places.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 78736.91 - 79702. Let y = p - -961. Let u = y - -4. Which is the third smallest value? (a) 2 (b) -2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -75286570*c**4 + 397*c - 69014?\nAnswer: -903438840*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98 and 418964.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a hour in minutes?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1248, 1242, 1232, 1218?\n\"Answer: -2*n**2 + 1250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 92043667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26195 + -235747\/9. Solve 0 - a*p**2 + 10\/9*p - 2\/9*p**3 = 0 for p.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 164827263 and 9645.\nAnswer: 1929","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v + 4*m + 10, -914 = -5*m - 934 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2813 rounded to 2 dps?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 10:20 AM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**3*k**2*n - 624*h**3*k + 3613*h**3*n - 5*h**2*k**2*n + 9*h*k*n + 28633 wrt h?\nAnswer: 12*k**2*n - 3744*k + 21678*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dpt when three letters picked without replacement from jtpbbdtptzpdtj?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 46, 73, 90, 91, 70?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 320096*n**2 + 244216 wrt n.\nAnswer: 640192*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lyhyllhvyujy. Give prob of picking 2 y, 1 l, and 1 h.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*h + 9*h**2 - 37*h.\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8 + -13.8. Let b = -169.6 + 191. Let p = z + b. What is p rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 296*n - 303*n + 2 - 2. Let d(a) = -3*a**2. Give d(j(r)).\nAnswer: -147*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + -4 + (-1 + -5 + sqrt(68))**2 + -4).\nAnswer: -388 + 96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/6)\/((-10)\/(-45)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 23 + (6 + 1 - 6). Calculate the greatest common divisor of 84 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -1)\/((-8)\/10)*(4329\/185 + 3)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37*u**2*x**2 - 555*u**2*x - 667*u*x**2 + 73*u*x + 1200*x**2 - 30*x + 2 wrt x.\nAnswer: -74*u**2 - 1334*u + 2400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10, -17, -56, -101, -146, -185, -212, -221?\n\"Answer: m**3 - 12*m**2 + 2*m + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 53675161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129999 is divided by 282.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13574437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 h when three letters picked without replacement from hphhhphhhhhhhhhp.\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -31656 to the nearest one thousand.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 10:49 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 14*o**2 - 6*o**2 - 273*o + 8 + 279*o. Let d(a) = -3*a**2 - 2*a - 3. Determine -11*d(c) - 4*n(c).\nAnswer: c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42572)\/(-3303)*63\/(-14)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -901.801689 rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 10) + (10 - 18 - -9) + 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.12 in -0.2, -4, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(4\/19)\/a)**(-42)*a**(-38)*a*a**(-29))**7 assuming a is positive.\nAnswer: a**(-4368\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9838473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a minute in seconds?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxppxxqpxppxwxxxqx. Give prob of sequence qx.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3460 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 728 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -1, 46 in decreasing order.\nAnswer: 46, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 - 16*q + 17.\nAnswer: -(q - 1)*(q + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9461167\/1455564 + -1\/1455564. Factor q*z + 15 - 1\/2*z**2.\nAnswer: -(z - 15)*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -1849*x**4 - 330326*x**3 - 15399141*x**2 - 57691820*x - 56400100 = 0.\nAnswer: -3755\/43, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d050 + -1771?\nAnswer: b6bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of l**6\/540 + 101*l**5\/45 + 10201*l**4\/9 + 8242408*l**3\/27 + 293*l**2. Factor x(s).\nAnswer: 2*(s + 202)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5337103 is divided by 1067419?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-526)\/(-2630))\/(((-4)\/(-10))\/1))\/((-92)\/16).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 71?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 plus -298.0104858?\nAnswer: -292.0104858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18117595?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(-10) - (-27)\/(-6). Let z be 2 - (25*14)\/o. What is the units digit of 16\/z + (-824)\/(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5596, 22498, 50736, 90304, 141196?\nAnswer: 203406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 16. Suppose -4*m = -4*h - 128, -2*m - w*h = -m - 17. What is the remainder when m is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 9) + (2 - -4) - -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4.14, -0.4, -2\/11, 2, 3\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkr when four letters picked without replacement from rkrkrrkf?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 9:31 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 657*b**2\/2 - 17*b + 1906. Let t be ((-4)\/5)\/(2\/(-10)). Is g(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40) - -5*sqrt(240)\/sqrt(6))\/(sqrt(8) - sqrt(392)*-2).\nAnswer: 2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of 2*k**5\/5 - k**4\/6 + k**3\/3 + k**2 - 24*k + 2. Let y = -15 + 16. Let l(x) = x**3 - x**2 + x + 1. Give y*j(f) - 2*l(f).\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5223071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 3, f: 3, i: 2, w: 1, d: 1, k: 8}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -19. Suppose -5*k + k + z = -f, -k - 5*f + 12 = 0. Suppose p = 2*w - k*p - 44, -51 = -3*w - 3*p. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t - 7. Let i be u(6). Suppose -3*n - 138 = -9*n. Let j(g) = 1 + n*g + 26*g + 28*g - 94*g + 27*g. Determine j(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 v when three letters picked without replacement from vrvrv?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**3 + 2*n - 2*n + 10*n**3 + 127*n - 127*n + (0 + 0 - 2*n)*(0 + 0 - n**2).\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 - 3*r**2 + 16 - 2*r**2 + 0*r**2.\nAnswer: -4*(r - 2)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 92*i - 13*i**2 - 8 - 2 + 6*i**3 - 11110*i**4 + 11129*i**4 wrt i?\nAnswer: 228*i**2 + 36*i - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-986)\/(-476) - 4\/(-6)*-3?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 409163?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 46 + -2?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/45)*t)\/t**35*t**(-10\/9)\/((t*t**(-36))\/t*t))**(-23) assuming t is positive.\nAnswer: t**(92\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2685 - 2650. Solve -30*w - 15 = -g*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53*j**3 + 229*j**2 wrt j.\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24104 + 16004. What is n rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*h + 2 = 0, 0*t = t - 5*h - 17. What is the lowest common multiple of t and (-156)\/(-8) - 2\/(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 78411 - 6429795\/82. What is the common denominator of s and 11\/4?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 78 (b) 0.5 (c) 1 (d) 116\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1241, 2468, 3695?\n\"Answer: 1227*j + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -64 times -1\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + (-18)\/8 - 1. Let j be (-3)\/4 + (-33)\/(-36). Sort j, 3, s in descending order.\nAnswer: 3, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1083, -2174, -3263, -4350, -5435, -6518, -7599?\n\"Answer: l**2 - 1094*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 + -0.2. Let x = 1 - 0.6. Put x, j, 2 in increasing order.\nAnswer: j, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96490064*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56818, -56683, -56578, -56509, -56482, -56503, -56578?\nAnswer: -56713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -274 - -424. Suppose -7*a + 11 = -o. Which is greater: a or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -7*u. Let h(s) = s. Let x(c) = 6*h(c) + q(c). Let r(b) be the third derivative of -7\/24*b**4 + 0 + 0*b**3 - 2*b**2 + 0*b. Determine r(x(v)).\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/968 and -47\/2178.\nAnswer: 8712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 669 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90070 is divided by 288?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 30802576 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3367.2 rounded to the nearest one hundred?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -831, -832, -833, -834, -835?\n\"Answer: -i - 830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 11*n = 2*y + 89, 10*y - 13*y = 2*y - 6*n - 43 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -29679663601370?\nAnswer: -29679663601377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(((-5)\/(-4))\/5). Let k(x) = -3 - 3*x + 5 + x + 0. What is the units digit of k(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.09 - 0.09. Let m = 0.1 + 0. Which is the nearest to m? (a) 4 (b) 1\/3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3*b + 45 = 0, 3*b + 36 = 4*n - b. Let q = 17 - n. Solve 5*p = q*u - 0*u - 10, -3*u = -4*p - 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 4)*3*2\/66. Suppose -2*d + 3 = -3. Put t, d, 1 in decreasing order.\nAnswer: d, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -7*a**2 - 4*a - 7. Let u be b(-3). Let i = -55 - u. Solve 0 = -5*f - i - 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1002447a - 2?\nAnswer: -10024480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + r = -5*i + 172, 5*r - 20 = 0. Let u = -23 + i. What is the third biggest value in u, -2, 2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 z, and 2 t when four letters picked without replacement from trmayzymtyty.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11811 (base 9) to base 6\nAnswer: -100444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1008) + -5*sqrt(1008) + sqrt(1008)) + (sqrt(1008) + 1 + sqrt(1008))*3)**2*3.\nAnswer: 2592*sqrt(7) + 435483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1106100.\nAnswer: 2, 3, 5, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t + 4. Let j(p) = -4*p - 17. Suppose -98*k = -40*k - 1508. Calculate k*m(y) + 6*j(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 498 - 496. Let g(x) = 43*x**2 - 16*x**2 - 11*x**2 - 17*x**u. Let y(d) = d**2 - 33*d**2 + 3*d**2. Calculate y(g(i)).\nAnswer: -29*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bo when two letters picked without replacement from {b: 1, i: 1, r: 1, f: 1, o: 2, u: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 3*c**4\/4 - 147*c**3\/2 - 12597*c**2\/4 - 28611*c = 0?\nAnswer: -17, 0, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.005026 times -5\nAnswer: -0.02513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 6*q**2 + 5*q + 13. Suppose o + 8 = 2*s, -3*o - 2 = -3*s + 4. Is d(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -5. Let i = 5.27 - 5.1. Let q = i + 0.83. What is the closest to q in 2\/5, k, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, -0.3, -33.6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33405?\nAnswer: 3, 5, 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/5 and -47\/127.\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 192921823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + w - 2*w**2)*(2*w + 2*w - 5*w) - 15*w**3 + 12*w**3 + 13*w**3 + (2*w**2 - w**2 - 2*w**2)*(-4 + 2*w + 4).\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25 - 36 + 37 + 28*i**2 wrt i.\nAnswer: 56*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 - 21. Suppose -5*o + r = 2*t - 5*t, -7 = -2*o + t. What is the first derivative of 7 + o + 0 + 15*s**2 wrt s?\nAnswer: 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -252516, -505571, -758624, -1011675, -1264724, -1517771?\nAnswer: -1770816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.0655 * 82\nAnswer: 5.371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1678 + -870. List the prime factors of f.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, o: 6, g: 4, h: 2}. Give prob of picking 3 o and 1 h.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 23.412, -2\/9, 0.122, -2\/3?\nAnswer: 0.122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 748 (b) 1\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 23*c**2 + 20*c + 2. Let z(i) = -i**3 - i**2 + i + 1. Let f(a) = o(a) - 2*z(a). Determine d so that f(d) = 0.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -123 - -493\/4. Let a = 0.2 - 0.1. Let p = -6 - -5.5. What is the biggest value in a, p, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 8 = -x. Suppose -d = x*d. Suppose d = 4*p - 15 - 1. Solve -p = -q, -8 = j - 2*j - q for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 8. Let u be (-7)\/((-63)\/(-12))*(-3)\/18. What is the closest to -0.1 in o, 0.5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 20*m + 64. Let h be r(16). Solve h = -3*u - z - 7 - 0, -3*u = -3*z + 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yu when two letters picked without replacement from {c: 1, r: 3, h: 5, b: 1, u: 4, y: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = c + 2, -w - 82*c + 31*c - 98 - 214 = 46 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 414, 54, 0, -2, 7 in descending order.\nAnswer: 414, 54, 7, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 + 1075*y + 5340. Calculate a(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 996 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4099874 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 266*q**2. Let u(b) = 35232*b. Calculate u(j(t)).\nAnswer: 9371712*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**3 - 4*i + 4*i + (0*i + i + i)*(-i**2 + 4*i**2 + 0*i**2) + (-4*i**2 + 3*i**2 + 0*i**2)*(-3*i + 5*i - i).\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 1. Let r be s(-1). Let w(g) = r*g - g + 0 + 0. Let b(f) = 4*f**2. What is b(w(v))?\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -92 or -121?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a tonne in kilograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -129, -1, 5, 2, -16, -36 in decreasing order.\nAnswer: 5, 2, 0, -1, -16, -36, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 - l**2 - l - 6 - 5)*(-2 + 11*l + 2)*(4 - 4 - 2*l) in the form r*l**2 + x + n*l + w*l**3 + t*l**4 and give w.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62100 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from dqd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, z: 1, m: 2, i: 1, q: 1, g: 1}. Give prob of picking 1 m and 1 i.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from lsssssslllssllslll?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 164540795 to the power of 1\/2, to the nearest integer?\nAnswer: 12827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1*9871115\nAnswer: 9871115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3445 is divided by 202?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*z**2 - 17*z**2 - 12*z + 12*z.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 1. Let i = -24.6 + 24.6. Which is the closest to 0? (a) -5 (b) i (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 12 + 698*k**3 - 6 - 3.\nAnswer: 698*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/4*(-4 - -2). Is t equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-3)\/h**(-4\/5)*h**16\/(h**(-21)\/h) assuming h is positive.\nAnswer: h**(179\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**5\/3 - 318742*w**4\/3 - 12700354612*w**3\/3 - 63489661388*w**2\/3 + 55027220530*w - 29630442282 = 0. What is w?\nAnswer: -79683, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1089 (base 10) to base 2.\nAnswer: -10001000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 7 = q - 13, q - 9 = -3*z. Solve -z*y = 0, 0*t - 3*t = y + 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 1 = h, -110*t = -2*h - 105*t - 13 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 279313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - g**4 - 48*g - 53*g + 8*g**2 + 103*g in the form t*g**4 + b + o*g + s*g**2 + v*g**3 and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -8\/3 (c) -1\/2 (d) -0.0335\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 93299645091+1.23\nAnswer: 93299645092.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + h - 23, -5*m - 4*h + 32 = -0*m. Let j(t) = 3 + t**2 + 1 - m*t - 3 - 5. Calculate j(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00067854 rounded to 5 decimal places?\nAnswer: 0.00068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000056286 rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 8*a**2 + 6*a + 5. Let l(v) be the first derivative of v**4\/4 - 8*v**3\/3 + 3*v**2 + 6*v - 13. Let o(r) = -3*j(r) + 4*l(r). What is o(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**3\/3 - 1330*a**2 + 112104*a = 0.\nAnswer: -2076, 0, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + t - 29, -3*t - 22 = 3*j + t. Let k be (4\/j)\/(8\/18). Which is the second smallest value? (a) k (b) -3\/4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 2 (c) -2.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbk when three letters picked without replacement from bkkkkbkkkbkkkkkk.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - (3 + -20)) + -61 + 54 - 5. Factor 9\/4*m**3 + 0 - 3\/2*m**r + 0*m**4 + 0*m - 3\/4*m**5.\nAnswer: -3*m**2*(m - 1)**2*(m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 - -8 - (-31 + 0). Suppose -3 = -c + 2, 0 = -l - 3*c + b. What is the lowest common multiple of 2 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(9 - -3) - (-13)\/(-3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 3*z = 8*z. Let s = -139 + 139.4. Which is the second smallest value? (a) z (b) -0.1 (c) -26 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = y - k + 1, 0 = k + 4. Let u = -39 + y. Let v = -11 - u. List the prime factors of v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 15*f - 30 = -24, -s - 4*f + 3 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d**3 - 103*d**2 + 152*d - 6. Determine s(19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(1 - (-12)\/(-9)). Let z = j + -5. What is the units digit of (-2 - 1 - z)*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3 - 113*x**2 + 436*x.\nAnswer: x*(x - 109)*(x - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 50136 or 50130?\nAnswer: 50136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 + 12*z**2 - 15*z.\nAnswer: 3*z*(z - 1)*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/5 and -15\/2151866.\nAnswer: 10759330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8 and -17618.35461.\nAnswer: -17626.35461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -141221 + -122532?\nAnswer: -304153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1452) + sqrt(1452))\/(sqrt(216) - (sqrt(216) - sqrt(216)*2)).\nAnswer: 11*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 + 0)*(109*f - 109*f + 17*f**2) - f**2 + 131 - 131 - 2*f**2 + 2*f**2 + 2*f**2 as g*f + i*f**2 + q and give i.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(-35)\/5 + (0 - 0). Let v = b + 24. Solve -v*l = -0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -101808, -407243, -916286, -1628925, -2545148, -3664943, -4988298, -6515201?\n\"Answer: 2*z**3 - 101816*z**2 - z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1111111011110 (base 2) to base 16\nAnswer: -1fde","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -0*z + z. Let q(c) = c**3 - 8*c**2 - 18*c + 2. Let y be q(10). What is the highest common factor of y and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 - -49. Suppose 0 = -l + 2*l - 29. Calculate the remainder when l is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 9*v - 30 = 0, 2*c - 167 = -4*v - 181 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - f = -2*c - 13, 3*c + 27 = 4*f. Suppose f*v - 25 - 11 = 0. Calculate the remainder when 14 is divided by ((-5)\/(-3))\/(4\/v).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1478.\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -969*x**4 + 5343 with respect to x.\nAnswer: -3876*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19\/4 in -111, 2, 1, 2\/9, 1\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 5) in base 3?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13742, 27484, 41226?\nAnswer: 54968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7846 + 15289 - 8287)*(-3*j - 4*j + 4*j).\nAnswer: -44544*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 5*f. Suppose -a = -f*a - 182. Let g = -1228 - -1254. Calculate the greatest common divisor of a and g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 v when four letters picked without replacement from {m: 4, v: 3}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(170) - (sqrt(170) + sqrt(170)*1*-2 + sqrt(170)))\/((sqrt(810) + 3*sqrt(810) + sqrt(810))*6 - sqrt(810)).\nAnswer: 4*sqrt(17)\/261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - -21. Let m = u + -9. Suppose -3*s = -2*x - m, 0 = 2*s - 4*s - 2*x + 28. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*j**3*k*p**2*u - 139*j**3*p*u**3 + 2*j**2*k*p**2*u**2 + 50*j**2*k*p*u**2 - 46*j*k*p**2*u**2 - 4*j*p*u - k*p*u**3 wrt j.\nAnswer: 72*k*p**2*u - 834*p*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*r**5 - 85*r**4 + 155*r**3 + 1325*r**2 + 1500*r = 0. Calculate r.\nAnswer: -5, -3, -5\/3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -253247269*x - 486183292 wrt x.\nAnswer: -253247269","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49\/132 + -4\/33. Let f = 1.34 - 0.34. Which is the second smallest value? (a) 3 (b) -2\/9 (c) w (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*g + b = 229, g + 5*b = 209. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7336846.\nAnswer: 2, 11, 333493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6595, -8\/7, -2\/19 in increasing order.\nAnswer: -8\/7, -2\/19, 2, 6595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2)\/(-2))\/(18\/2034).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/43)*w\/w**(-14)*w*w assuming w is positive.\nAnswer: w**(729\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + i + 3)*(3 - 3 - 2*i) + 22*i**2 - 3*i**2 - 3*i**2 + (-i - i + i)*(0*i + 0*i - 2*i) to the form h*i**2 + k + j*i and give h.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -528 = 994*n - 1042*n for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/5 + (2 - 94\/(-10)). Let x(s) = s**2 + 8*s - 82. Let p be x(6). Solve -q = m + 3*q - 15, 2*q - f = -p*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394 - 634 = -24*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 8*v + 18. Let t be g(-2). Let k = 0.1 + -0.5. Which is the closest to -0.1? (a) t (b) -0.38 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43608270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/4 - 11\/12. Which is the nearest to 2\/5? (a) -2 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/109087 - -63052244\/2290827. Which is smaller: r or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - b - 10. Suppose 0 = 33*k - 41*k + 48. Calculate the remainder when 39 is divided by o(k).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55004 and 1540112?\nAnswer: 1540112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85308251 divided by -1.\nAnswer: 85308251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34294.\nAnswer: 2, 13, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 3*a = 46, -248*v + a = -247*v + 6 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 5*o**2 + 7*o - 6. Let w be c(6). Let v be ((2 - 2) + w)\/2. Solve 5 + v = -i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 + 4.2. Let a = 143\/3 - 48. Is a != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 37*j**4\/4 + j**2 + j + 5. Let g be h(-1). Let l = -37 - g. Calculate the highest common divisor of 9 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 393385 and 17313?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1207 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) + 1 + -5 + ((2 + sqrt(208))*-6)**2.\nAnswer: 580*sqrt(13) + 7628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 1. Let u = 16 + s. Let j be 2\/(-4) - (-30)\/(-4). Sort u, 0, j.\nAnswer: j, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 454 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*m - 11 - 1639 = 0. What is the remainder when m is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 775 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 68151259 a multiple of 180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 1397?\nAnswer: 4191","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4067, 14761, 32593, 57569, 89695, 128977, 175421, 229033?\nAnswer: 289819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 91 = -6*d + u, 5*d - 2*u = 150. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - o - 571 + 562 = 0, -6*y = 2*o + 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3986036 is divided by 2833?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 234464820 and 21240.\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -q**7\/840 + q**6\/720 - q**4\/8 + q**2. Let p(w) be the second derivative of m(w). Find the second derivative of p(r) wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (761 + 1302 - 601)*(-3*n + 6*n - 2*n + (-1 + 2 + 1)*(-n - 1 + 1)) as z*n + y and give z.\nAnswer: -1462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5469*b**2 + 3*b - 303 + 299 + b**3 - 5475*b**2 to the form h*b + q + m*b**2 + w*b**3 and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + (sqrt(104) - (sqrt(104)*-2 - sqrt(104)))*3)\/(sqrt(24)\/(2*sqrt(3))).\nAnswer: 26*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + -21 - (-51 - -26)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2189 and 2200?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -17, -0.05, -1, -1\/2, 64.6, -2\/11, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-9))\/((-17)\/(51\/4))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17718 divided by 2?\nAnswer: 8859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77692?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3208*j + 97180. Give d(-30).\nAnswer: 940","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.02 (b) 4\/5 (c) 54.8 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of 3*c**2 - 1\/6*c**3 + 1\/4*c**4 + 0*c + 0 - 1\/60*c**5. Calculate the least common multiple of t(5) and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 8, u: 2}. What is prob of sequence uo?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-34 - 40) + 55 + 7 + 0\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 110 + -108. Factor 0 + 2\/3*l**3 - g*l**2 + 4\/3*l.\nAnswer: 2*l*(l - 2)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 0*j - 7*j**2 - 6*j**2 + 0*j + 5*j + 3*j**2. Let a(d) = -30*d**2 + 16*d. Give 5*a(k) - 16*p(k).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7360 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -3\/5, 4, -3.6, 1.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3 + 6 - 21*d + 10 + 2. What is the units digit of r(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of 1\/30*u**6 + 1\/60*u**5 + 1\/70*u**7 + 0*u + 0 + u**2 + 0*u**3 + 0*u**4. Factor x(s).\nAnswer: s**2*(s + 1)*(3*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 41*f + 29*f)*(-f**3 + f**2 - f**2) in the form i*f**3 + h*f**4 + u + q*f + l*f**2 and give h.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1211438?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p - 6*p + p + (2*p + 1 - 1)*(-5 - 7 - 11) as i + x*p and give x.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 317319?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pccc when four letters picked without replacement from {p: 11, c: 3}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(19) - (3*sqrt(19) + -5)).\nAnswer: -15 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9908.351ml?\nAnswer: 9.908351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (63\/36*-6)\/((-12)\/16)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -276, 22, 14 in decreasing order.\nAnswer: 22, 14, -276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(6*o**2 + 5*o**2 - 3*o**2 + (2*o**2 - 2 + 2)*(-14 + 9 + 2) - 1 - 15*o**2 - 2*o + 17*o**2 - 2*o).\nAnswer: 8*o**2 - 8*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -58.036 - -58. Let v = z - -2.036. Which is the biggest value? (a) -0.14 (b) 4 (c) v (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of t**5\/75 - t**4\/15 + 2*t**2. Let g(o) = 0. Calculate o.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42761211782 - -252?\nAnswer: -42761211530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 2*1*(4 + sqrt(80)*-1*-4))*-4)**2.\nAnswer: 6144*sqrt(5) + 82496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(((((n\/(n*n\/(n**(-2)\/n*n)*n)*n)\/n)\/n)\/n)\/n*n))\/n)**(10\/7))**26\/(n\/(n\/((n\/(n*n**(-2\/11)))\/n))*(n*n*n**(1\/8))\/n)**(-23) assuming n is positive.\nAnswer: n**(141627\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3491*f + f**2 + 648*f + 93 - 266*f.\nAnswer: f**2 + 3873*f + 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -176.46662887 to 3 decimal places.\nAnswer: -176.467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/3)\/(1\/(-9)). Let j be 1 + -3 - (0 + -5). Solve -c*t + 7*t - 5 = -l, 13 = -j*l + 2*t for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -1495 + 834 + 661 + 2*y. Let m(b) = -16*b**2. Determine m(x(j)).\nAnswer: -64*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 + 9. Let l(n) = -7*n**2 + 8*n - 9. Let u(g) = -20*g**2 + 24*g - 26. Give k*l(p) + 6*u(p).\nAnswer: -p**2 + 8*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1385\/7, -4, 2\/9, -0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 24190 (base 10) to base 2\nAnswer: 101111001111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 15*b**2 + 14*b + 10. Let j be r(-14). Solve 0 - j = -2*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302215 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-25) - (-8)\/5. Let y(n) = 3*n + 2. Give y(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + sqrt(891) + sqrt(891))*-5 - (-2 + (sqrt(891) - -3*sqrt(891)*-5)))**2.\nAnswer: -37296*sqrt(11) + 4879900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (10\/324)\/(6\/(-207)) and ((-2)\/(-14))\/(1656\/21574) + 4\/(-8).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 13690\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -5*q + 1220. Let r(f) = 3*f - 815. Give 5*p(g) + 8*r(g).\nAnswer: -g - 420","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u + u + 2*u - 1 + 1 + 2*u + (343 - 343 + 31*u)*(0 - 1 - 1) - 10*u + 8*u + 32*u + (3 - 2 + 1)*(2*u + 0*u - 3*u) - u - 1 + 1 - u + 3*u - 5*u.\nAnswer: -34*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 5 (b) 1\/4 (c) 1.1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 608825 at least as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -8*q + 225. Let i = q + -20. Let u = i - -6. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 230 + 1032202312?\nAnswer: 1032203202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(88)*1)\/sqrt(8) - -6*(sqrt(11) + -4 - sqrt(11))**2*5.\nAnswer: 4*sqrt(11) + 480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - c**2 - 3*c - 1. Let u be a(-4). Let v = u + -35. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/19 and -29?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1253*m**4*n**2 - 5*m**4 + m*n**2 + 2*m*n - 26*n**2 - 72*n wrt m.\nAnswer: 15036*m**2*n**2 - 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/6 and -101\/195.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**2 + 4*m + 6. Let b be y(-4). Suppose -l = 5*c - b, -5*c = 3*l + 3 - 37. Suppose -3*u - c = -56. Solve -u = -k + 5*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-6)\/(-12) - (-4)\/(-56))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -6. Suppose r = 4*v + v. Suppose 4*k - 33 + 1 = 0. What is the highest common factor of k and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 10, -16, 1031 in increasing order.\nAnswer: -16, -4, 10, 1031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.16 (b) 3\/5 (c) 4 (d) 1473\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 5*z - z + 5996 + 5485 + 245.\nAnswer: -5*z + 11726","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -22121220201111?\nAnswer: -22121220201112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5493678 or 0?\nAnswer: 5493678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40 - 36) + -1 + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 9460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.8 + 0.2. Let z = 0.964 + -1.264. Which is the nearest to 2\/11? (a) -2 (b) v (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p - 1. Suppose 7*v - 5*v = 4. Suppose 2*k - 48 = -v*k + 3*x, -5*k = 4*x - 29. Suppose -k*z = -5*z - 4. Give n(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/11 (b) 3 (c) 2\/9 (d) 0.4 (e) -78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -2*r + 125, 4*r - r = 0. Let g(l) = l. Calculate the remainder when m is divided by g(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f + 2348. Let y(z) = 2*z + 2355. Determine -3*l(o) + 4*y(o).\nAnswer: -o + 2376","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.27 + 0.27. Sort 2, 3, d in increasing order.\nAnswer: d, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 0*j + 4*j - 12, 5*a + 7 = 3*j. Let h be (-6)\/(-214)*1\/(-6). Let y = h - -117\/2140. Which is greater: a or y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -64 + 53 + 3 + -3 - -29?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, n: 2, h: 4, f: 12}. Give prob of picking 1 h and 1 z.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 6 - (-18 + (-28 + 11 - -43))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 90*o**3 - 24*o**2 - 24. Let z(f) = -18*f**3 + 5*f**2 + 5. Let g = 1106 + -1101. Calculate g*x(a) + 24*z(a).\nAnswer: 18*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + -260.017?\nAnswer: -259.817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 204, 199, 184, 153, 100, 19, -96?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 8 = -x, -5*x + 634*w = 632*w - 51. Solve -x*g + 84 = -g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-22))\/((-12)\/(-924)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 5295?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 9\/((-9)\/2). Let u be 176\/77 + d\/14. Let m**4 + 29*m - 16*m + 4 - 2*m**3 - 9*m - 3*m**u = 0. Calculate m.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/(g*g*(g*g**(-18))\/g))*(g\/g**15)\/g assuming g is positive.\nAnswer: g**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9000.707, -1\/6, 0.3?\nAnswer: 9000.707","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/21, -0.7, -0.3, 0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2030861 > 2030856?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 281*f = -276*f + 10, 26*m - 22 = -4*f for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 2:05 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6117 + -55051\/9. Let r be (-5)\/9 + (-1)\/(-3). Sort -0.03, 4, s, r in increasing order.\nAnswer: r, -0.03, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -182, -808, -1912, -3542, -5746, -8572, -12068, -16282?\n\"Answer: -8*t**3 - 191*t**2 + 3*t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 418843 (b) 152 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*k + 468 + 610 = 9*k. Solve 281 - 281 = -k*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -18*h**3 - 2123*h**2 - 1988*h + 117 = 0.\nAnswer: -117, -1, 1\/18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-7)*-1)\/(18\/4)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*g**2 + 10*g**2 - 4*g + 5*g + (-5 + 1 + 5)*(0*g**2 + 2*g**2 + 2*g**2) to k + r*g + v*g**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 8*m + 7*m - 53 = 0, 2*g + 2*m - 34 = 0. What is the remainder when 431 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1069.2332715 + -27478?\nAnswer: -28547.2332715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 11:07 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -93.8 - -94.2. Which is the nearest to 1\/4? (a) -5 (b) 1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23940?\nAnswer: 2, 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*s = 2. Let p = 7 - 8. Let l = s + p. Which is the third biggest value? (a) 1\/4 (b) l (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6928*y + 94*y**2 + 414*y**4 - 433*y**4 + 2079*y wrt y?\nAnswer: -228*y**2 + 188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11201?\nAnswer: 23, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -13*t**2. Let i(q) be the first derivative of -13*q**2\/2 + 202. Determine a(i(f)).\nAnswer: -2197*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3 + 12 = 0. Let c(o) = -o**2 + 4*o - 3. Let p be c(t). Let f(d) = 43*d. Let i be f(0). Solve p = -i*a + a - 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 49*w**2 - 90*w + 218. Calculate l(-51).\nAnswer: -394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -360 + 1?\nAnswer: -359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -u**6\/360 - u**5\/60 - u**4\/6 - 4*u**2. Let h(v) be the second derivative of p(v). Calculate h(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -117 * -7.8.\nAnswer: 912.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lcirli. Give prob of sequence ii.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 g when four letters picked without replacement from {g: 2, d: 5}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 5*n + 13, -y - y + 19 = -5*n. Which is the biggest value? (a) -2\/15 (b) y (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1062834 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 44140119 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1)*o)\/o**(-17)*o**(-16)\/(o\/((o\/o**17)\/o)))**15 assuming o is positive.\nAnswer: o**(-255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5773*b + 6. Let g(s) = 77681490*s + 80738. Calculate 3*g(l) - 40369*w(l).\nAnswer: -5767*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3012431224 - -2120?\nAnswer: -3012424104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.04 + -21.04. Let r = -14 - d. Let y = 6.9 - r. Which is smaller: 10 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3698569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 20578*n - 20601*n = 111, -4*n + 10 = -5*y - 5*n for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**4 - 216*b**3 - 2592*b**2 + 11648*b + 75264.\nAnswer: -4*(b - 6)*(b + 4)*(b + 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.799 and -58.7.\nAnswer: 457.8013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 5 + 2)*(0*g + 3*g - g)*(-3*g**2 - 4*g**2 + 2*g**2).\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -1. Let u(r) = -r. Let h(q) = -3*k(q) - 2*u(q). Suppose 2*x = 0, 4*n + 4*x - 10 = 6. Let y(m) = -3 + 2 + 4 - n. Determine -h(b) - 3*y(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1138502 rounded to the nearest 1000?\nAnswer: -1139000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 6*j**2 - 43*j + 8. Let t be 2\/(-5) + -9 + (-246)\/(-15). Let i be g(t). Is -7\/15 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*p - 494 = 418. Let b be (16\/(-20))\/((-2)\/60). Calculate the highest common divisor of b and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6104 and 4007?\nAnswer: -24458728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.3, -125, -4 in descending order.\nAnswer: 2, -0.3, -4, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7815926 months in decades?\nAnswer: 0.014846605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-8))\/(1\/2). Let v = 0.0695 - -3.9305. Let t = 61.37 + -61.17. Which is the second biggest value? (a) v (b) -2\/5 (c) t (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-11) + 15100\/(-44). Let k = g + 351. Calculate the lowest common multiple of 20 and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-12\/11)\/u*u)\/u**(-4\/15))**(-16))**15 assuming u is positive.\nAnswer: u**(2176\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -9794*c. Let y(f) = 574*f**2. Calculate r(y(u)).\nAnswer: -5621756*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)*2 + (sqrt(51) + (sqrt(51) - ((sqrt(51) - sqrt(459)) + sqrt(51) - sqrt(51))) + sqrt(51))*-5)\/(-2*sqrt(192)*-3).\nAnswer: -7*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, -746, -2668, -6104, -11486?\nAnswer: -19246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = j - 82*h + 79*h, 0 = -4*j - 5*h - 14 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22632.2 + 22632. Let o = -7 + 12. What is the nearest to -0.01 in o, x, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6937 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + 115 - 142 = 0. Which is the second smallest value? (a) 0.1 (b) m (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.8, -1\/3, 23, -0.131?\nAnswer: -0.131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 1.9816, -0.2, 0.04, -2\/7, 0.1, -0.76, 4?\nAnswer: -0.76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)\/(-3*1*sqrt(4))*6)\/(-5*(sqrt(144)\/sqrt(3)*-2)\/sqrt(6)).\nAnswer: -sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*k + 5*h = -127, 89*k - 87*k + 3*h = 19 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -1 + (-8 - -4 - 5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/4 - 17631*k - 1164735.\nAnswer: (k - 70590)*(k + 66)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 896?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -52*x**2 + 8430*x - 962. Determine i(162).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -635 + -17.91820981642\nAnswer: -652.91820981642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 2*d + 20, -2*a - 7 = -5*a + 5*d. Suppose 5*v + 3 = -27. Are v and a unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12283284 is divided by 8979.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -90 in -2\/85, 1, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286*h + 3*f - 2 = -285*h, 2*h + 7*f - 35 = 0 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17 - 114?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5\/2, 3\/7, -1835, 1, -47, 2\/9?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z + 23*z**2 + 287 + 4*z - 285 + 2*z in the form c*z + t + q*z**2 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(96))\/sqrt(8) + -1 + sqrt(3)*2 + 2 + 4)**2.\nAnswer: 60*sqrt(3) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*t**2 + 5*t**2 + 6*t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(65) + sqrt(65) + sqrt(65)*1)*5 - sqrt(65))\/(sqrt(5) - (sqrt(720)*-1 + sqrt(720))))**2.\nAnswer: 2548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 29698.8278 - 0.08687\nAnswer: 29698.74093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 6 - 0. Suppose d*s - 10 = -5*a, -7 = 5*s - 2*a - 32. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.401 + -6.681. Let z = -11.99 - b. What is z rounded to one decimal place?\nAnswer: -5.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -322 + 326.18. Let p = 2.47 + i. Round p to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -12, -40, -78, -126, -184, -252?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1717 - 2?\nAnswer: -1719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 8103 = -2833. Suppose -270 = 16*c - s. Is 36 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -387 - -729. Let y = -191 + z. What are the prime factors of y?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11660 and 0.5.\nAnswer: -5830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5523 - -166519.\nAnswer: 160996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -40 + (-56 - -82) + (0 - 9 - -3)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -0.4, -5\/4, -0.3, -1\/4, 80?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/105)\/(1890\/(-3402))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 393121 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*x - 132*x + 910 = 74*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/1207752 and -25\/47481?\nAnswer: 390103896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 12*z = 0. Solve z = -d - d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3 = 0, -3*y + 0 = -2*w - 6. Suppose 3*o + y*o - 4*f = 2843, 5*o - 4*f - 4749 = 0. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s - 11. Let c(b) = -1. Let g(q) = -2*c(q) + r(q). Let a be g(4). Solve 0 = -4*j - 11 + a for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.608 rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-5\/8))\/(f*f**(3\/2)))\/(f**(-3\/5))**(7\/10) assuming f is positive.\nAnswer: f**(-91\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 7 - 8 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -1\/3 (b) 0 (c) -5 (d) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/6 in 1, 0.4, -2, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 3*x + 7. Let a be l(5). Let m = 46 + a. What are the prime factors of m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sspskkk. What is prob of picking 2 s, 1 k, and 1 p?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.77 * -1065.\nAnswer: 820.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 201558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2. Let f(c) be the third derivative of c**7\/560 + c**5\/5 + 35*c**2. Let q(g) be the third derivative of f(g). What is b(q(v))?\nAnswer: 81*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37.5239 + 0.2561. Let y = b + 0.22. Let d = y + -38.8. What is d rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1642 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/12 - 318\/(-8). Suppose -4*b + 3*o = -b + m, 5*o - 5 = -b. Let v = b - -10. Solve v = 6*w - 4*w - 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**4 + 19376*i**2 + i + 22637.\nAnswer: -8*i**3 + 38752*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8425, -7800, -7173, -6544, -5913, -5280?\nAnswer: -4645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 821, 2\/5, -0.5, -0.4 in decreasing order.\nAnswer: 821, 2\/5, -0.4, -0.5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r + 3*r**3 + 2*r + (-8*r**2 + 0*r**2 + r**2)*(2 + 2*r + r + 0*r) to the form p + b*r**3 + f*r + w*r**2 and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (72 - -4 - 7) + (19 - (16 - 8)) + -7\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 74150873 to the power of 1\/2, to the nearest integer?\nAnswer: 8611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/6 + (-14)\/3. Let r = 8 + b. What is the nearest to -2 in -1, -0.5, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230209?\nAnswer: 7, 32887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zel when three letters picked without replacement from {z: 2, l: 1, t: 4, e: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -4*u + 1498, 0*a = 2*u - 4*a - 736. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 510075 is divided by 239?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 0 + 5*v - 1\/13*v**4 - 3\/13*v**3 - 2\/195*v**5 + 3\/2*v**2. Let m(s) be the first derivative of t(s). Factor m(k).\nAnswer: -2*(2*k + 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 727 is divided by 211.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 130 and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1881780, 0.14.\nAnswer: -1881780, -2, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 32*c**3 - 12*c**2 - 3465*c + 3475. Determine x(1).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 4*c**2 + 2*c + 5. Let a be y(-4). Let z(d) = 3*d**2 + d - 4. What are the prime factors of z(a)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a933 (base 12) in base 14?\nAnswer: -104ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 5*a + 29701, -2*a - 26976 = -4*g + 2718. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3266, -12967, -29154, -51833, -81010, -116691, -158882?\nAnswer: -207589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -136*d**3 - 41*d - 9.\nAnswer: -816*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/(-1)*(168\/840)\/((-3)\/(-15))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j - 12 = b - 136, -2*j + 91 = 75*b - 73*b - 109 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2219 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 3*y + 5)*(1 - 1 + 2) + 3*y + 0*y + 2*y in the form u*y + f and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 41*d**3 + 3*d**2 - 17*d + 16. Determine b(1).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + 23. Let d = 110 + o. Suppose -2*w - t = -d, -4*w + 5*t - 23 + 297 = 0. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -714 - 57 = 257*j. Put j, 2, 5263 in decreasing order.\nAnswer: 5263, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/59601487 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h**4 - h**3 + h**2 + h + 3. Let m(u) = -62*u**4 + 9*u**3 - 4*u**2 + 322*u - 9. Let n(w) = 3*f(w) + m(w). Find the third derivative of n(j) wrt j.\nAnswer: -1272*j + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2057631 (base 10) in base 14?\nAnswer: -3b7c19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348*b - 1197 = -31473 for b.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 5*x**3 - x**2 - 6*x + 40. Is 15 a factor of v(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1828041121 to the nearest integer?\nAnswer: 1223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/3*3\/(-2)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 13. Suppose -w = 9*p - 28. Solve 14 = -2*i + 4*j, -4*i - 2*j + p + 9 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eighteen fifths of a microgram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5429 is divided by 5329.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 905391, 905396, 905405, 905418, 905435, 905456?\n\"Answer: 2*f**2 - f + 905390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j - 1. Let q(w) = 4*w + 5. Let x = 17 - 20. Let o(n) = x*a(n) - q(n). Suppose l + 15 = 4*l. Give o(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j**(4\/9))\/((j**21\/j)\/j))**36)**(4\/37))**(-4\/5) assuming j is positive.\nAnswer: j**(10112\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -5*q + 51, -3*q + 27 - 8 = 4*i. Let v = q - 1. Suppose 5*z - v = 3*z, 0 = -2*c + 2*z - 2. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6867, -6887, -6941, -7047, -7223, -7487, -7857, -8351?\nAnswer: -8987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**(-14)*s*s*s**(-6)*s)\/(s*s**(5\/4)*s*s**(13\/4)) assuming s is positive.\nAnswer: s**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**5 + 1399*c**4 + 227582*c**3 - 182941582*c**2 + 17215311681*c - 17032599081 = 0 for c.\nAnswer: -853, 1, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 26808?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4*u = 3 - 22, u = z - 2. Let v be (-1 + 2)*(4 + 1). What is the second derivative of 8*i - v*i**z + i**3 + 2*i wrt i?\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from npcpccpcnnncpcclnncd. Give prob of picking 3 p.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18802)\/(-170) - (-1)\/((-5)\/(-2)). Let q = h + -107. Suppose 2 = -q*x - 5*t - 1, 3*t - 1 = -x. What is the closest to 3 in 4, 0.3, x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 5*i - 3*i + 21, 5*i + l = 15. Solve 0 = i*d - 3*d + 2, -2*a = -5*d + 18 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - 27. Let j be 12*c\/(-4) + -3. Suppose -5 = 2*q - j*q. Solve 5*a + 11 = 4*s, -q*a - 4*s = s - 25 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55984369323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, y: 2, a: 1}. What is prob of picking 2 y?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 1\/6 (b) 1\/3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*l + 66619 = -153341. Does 156 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t - 15*t + 3*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 34*x**2 + 4*x - 8. What is the tens digit of g(-30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*w = -w - 26, -5*w = -3*m + 11. Let x be 0\/(m\/(-1) - 1). Solve 3*c = -x*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 32*d + 63. Calculate r(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1331222 (base 4) to base 6.\nAnswer: 101122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -160980090.\nAnswer: 64392036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -13 and 15 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**2 + 2*z**2 - z**2 + 2*z**2 + 0*z**2 + 0*z**2 + (4*z - 2*z - z)*(z + 2*z - 4*z).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -273242.\nAnswer: -9\/273242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-70)\/(-6))\/((-3)\/(-9)). Let c = -30 + p. Suppose -c*u - 46 = -4*l, 4*u - u = 5*l - 51. Which is bigger: l or 15\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*f + 10*f + 171. Let n = f - 119\/6. Sort 10, 0.1, n in ascending order.\nAnswer: n, 0.1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5593601?\nAnswer: 13, 430277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7568 or 13754?\nAnswer: 7568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99974118*n + 2*n**2 + 99974118*n.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -66764*o*r**3 + 60082*r**3 wrt o.\nAnswer: -66764*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4 + (-1 + sqrt(847) - sqrt(847))**2 + -5 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -122211212?\nAnswer: 122211201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-5)\/(-15) - -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -42, -56, -60, -48, -14?\n\"Answer: v**3 - v**2 - 18*v - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2241, -5625, -26969, -68529, -137043, -239249, -381885, -571689?\nAnswer: -815399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 3*r + 12. Let i = -89 - -83. Determine p(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6304 and -325213586.\nAnswer: -325207282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -107\/9082?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5521*h + 38565. Let y be o(-7). Let j be (1\/(-3))\/(8\/1956). Is y not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*sqrt(153)*1)\/sqrt(9).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1491 - -1490. Is -251 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(1\/9)))\/q*q\/((q*q**(-24)*q*q)\/q) assuming q is positive.\nAnswer: q**(197\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475)*1 + -3)*2 + -3 + 1 + sqrt(475) + 1)**2.\nAnswer: -210*sqrt(19) + 4324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -b2da7b?\nAnswer: b2da7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((i*i**5*i*i)\/i)\/i*i)\/i)\/(i\/(i**2*i)))**(-35)\/(i**1\/(i*i**2))**(7\/2) assuming i is positive.\nAnswer: i**(-273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 4*k + 2. Let p be b(3). Solve -2 - 3 = -d + t, -t = -5*d + p for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -4, 102 in ascending order.\nAnswer: -4, 0.2, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 = -411279*n + 411253*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10199113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3)*(5*u**4 - 4*u**4 + 4*u**4)*(19 + 41 + 1746*u - 62).\nAnswer: 8730*u**5 - 10*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*o**3 - o + 10*o**3 + 0*o)*((-2*o - 3 + 3)*(-2 - 5 + 5) + 5 + o - 5) in the form n + r*o + q*o**4 + p*o**2 + s*o**3 and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1421014 divided by -14.\nAnswer: -101501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -22943, -25965, -28987, -32009, -35031?\n\"Answer: -3022*v - 19921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 995400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 5*m + 7. Calculate the smallest common multiple of p(6) and (-15)\/3*2\/(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/367 + -265\/18717. Let n = -215\/561 - l. What is the closest to 1 in n, 0.4, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 2224157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10003 divided by -1\nAnswer: 10003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 120.6 * 1699\nAnswer: 204899.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**4 - 15 - 77*j**3 + 77*j**3 + (-3*j + 4*j - 3*j)*(3*j**3 - 2*j**3 + 0*j**3) to l + t*j**2 + z*j**3 + s*j + g*j**4 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of 0 - 1\/2*g**3 - 1\/4*g**4 + 1\/2*g**2 + 4*g + 1\/20*g**5. What is w(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 of a week in hours?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 25327, -1.\nAnswer: -5, -4, -1, 25327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/223434 and 103\/124130?\nAnswer: 1117170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 2*z**2 - z. Let c(x) = 737*x**3 + 4*x**2 + 2*x. Give -3*c(j) - 6*p(j).\nAnswer: -2217*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 923, 3793, 8623, 15437, 24259, 35113, 48023, 63013?\n\"Answer: 4*q**3 + 956*q**2 - 26*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 3*l + 2. Let a be n(5). Let k(b) = b. Let q be k(a). Let c = q + 6. Put 3, -5, c in ascending order.\nAnswer: -5, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -84107901 and -0.01?\nAnswer: 841079.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -219, 41.\nAnswer: -219, 16, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 172*u + 862. What is the tens digit of q(31)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*1\/10*(-3)\/3\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/49009 and -33\/10.\nAnswer: 490090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of l**6\/60 + l**5\/120 + l**4\/24 + 2*l**3\/3 - 2. Let b(o) be the third derivative of c(o). Is b(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 425.\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y + 6*y - 5*y in the form u + x*y and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 752.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -298, -81, -1, 12, 2 in decreasing order.\nAnswer: 12, 2, 1, -1, -81, -298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awwwyyyyayywyy. What is prob of sequence aa?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/2*(1065\/450)\/71?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i**2 + 3*i - 3. Suppose -5*w - 13 = -l, w + 2*l - 2 = 3*w. What is the units digit of o(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1775, -3901, -6387, -9233, -12439, -16005, -19931?\n\"Answer: -180*z**2 - 1586*z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1293*a - 5444*a - 2113*a - 91293 - 27723 = 0 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 6*r**2 + 42*r - 248. What is z(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*b = 3*j - 110, -3*j = 6. Let d = -36 + b. What is the highest common factor of d and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 5*a**2 - 4 + 6 + 0. Let q(l) = 8*l**2 - 24. Let m(f) = 7*f**2 - 19. Let t(u) = 5*m(u) - 4*q(u). Give -5*g(v) + 8*t(v).\nAnswer: -v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -5*p**2 - 33*p - 9. Let z(u) = 2*u**2 + 11*u + 3. Let g(q) = -6*t(q) - 17*z(q). Factor g(y).\nAnswer: -(y - 3)*(4*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -5*n + 8. What is m(13)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4 + 4 - 4*q**3 - 2. Let y(n) be the first derivative of n**4\/2 + n + 49. Determine 2*t(k) + 5*y(k).\nAnswer: 2*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 3:36 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 2*o**2 - 10*o + 31. Let f be x(5). Solve -95*k**3 + 376*k - 58*k**3 - f*k + 145*k**3 + 48 - 308*k**2 - 52*k**3 = 0 for k.\nAnswer: -6, -2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 10*z**3 + 163*z**2 + 12*z + 33. What is i(-16)?\nAnswer: 609","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/21)\/(45\/1485)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 16653*n**2 + 1. Let k = 3 + -2. Let b be o(k). Suppose -b = -5*f + 25846. Round f to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and 14469084.70272?\nAnswer: 14469084.90272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 408668 and 1021670?\nAnswer: 2043340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - ((-15 - -25) + 51) - -19?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006449248 rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 432466, 864706, 1296946, 1729186?\nAnswer: 2161426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29995 - 30829. Which is the closest to 0.3? (a) 0.1 (b) 1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -172, -273, -376, -481, -588?\nAnswer: -697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9928, -9925, -9904, -9853, -9760, -9613, -9400?\n\"Answer: 2*g**3 - 3*g**2 - 2*g - 9925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*b = 36*b - 930346 - 606654. List the prime factors of b.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z - 4. Let c be r(8). Let f = 40 - 38. Let g be (4 - (-10)\/(-2))*(f - 0). Sort 0, c, g.\nAnswer: g, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*((-308)\/14)\/220\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6912, -6323, -5712, -5073, -4400, -3687, -2928?\nAnswer: -2117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 18226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/21127 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.23, 4, 7 in descending order.\nAnswer: 7, 4, -0.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 494400 is divided by 27464.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.136 + -18.064. Let i = 17.47 + c. What is i rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 10*x**2 + 62*x + 181. What is i(-6)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -79.504231 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1001?\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -9*v + 8. Let b(m) = 4*m - 4. What is 13*b(f) + 6*u(f)?\nAnswer: -2*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 112346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 204?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*p + 1220742 - 1219688 = 0 for p.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -7*i**2 + 1. Let k(r) = r**3 - 6*r**2 + 2. Determine -3*f(z) + 2*k(z).\nAnswer: 2*z**3 + 9*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*51.695\nAnswer: -15.5085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, u: 1, o: 4}. What is prob of sequence oowu?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -41*j + 3398. Let m be p(83). Put 893, -1, m in decreasing order.\nAnswer: 893, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261611 + 21*t**2 + 4*t - 523227 + 261616 - 4*t.\nAnswer: 21*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 + 29. What is the units digit of 0\/6 - j*13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 - 10 = -5*n + 2*m, -1908*m + 1904*m + 44 = -4*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -54538120 rounded to the nearest 1000000?\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, 6, 0.0345, 0.1.\nAnswer: 0.0345, 0.1, 1\/9, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15\/4 or -1?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 104\/421 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 292 and 46209.\nAnswer: 184836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 287*k + 60 = -4*g + 292*k, 0 = -3*g - 5*k - 80. Let f(o) = o**3 + 20*o**2 - 4*o - 83. Give f(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11786 + 11782. Let f = 7.06 - 7. Which is the second smallest value? (a) -0.3 (b) -0.2 (c) i (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 45\/8 of a milligram?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 14*l + 7. Let w be u(5). Let m = w + 43. Let x be (-5 + 1)\/(-4 + 2). Solve -m*j - x - 13 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from pdpppddpdppddd?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**3 + 11*t**2 - 3*t - 3. Let i be r(5). Suppose n = w - 6, -n + i = 3*w - 11. Solve -2*d + 4*f - 11 = d, -d = f + w for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88168 (base 15) to base 3\nAnswer: -210222000222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + 12. Let w(b) be the second derivative of -b**5\/20 + 2*b**4\/3 + b**3\/2 + 3*b**2 - 188*b. Calculate the smallest common multiple of w(8) and t.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 3.82. Let p = 0.08 - t. Let d = -0.4 + p. What is d rounded to 0 dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.022 + 0.078. Let f = 0.5 + -0.1. Which is the closest to u? (a) 0.3 (b) -2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 189422 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -137 - -1734. Suppose 954 = -0*w + 3*w + j, 5*w + 4*j = x. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1332 and 2664?\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1, -3, -11, -23, -39, -59, -83?\n\"Answer: -2*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 616*d. Let z(o) = -56*o. Calculate 5*j(v) + 56*z(v).\nAnswer: -56*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 525 = 24*t. Find the common denominator of (-10)\/232*(-1)\/(t\/28) and 74\/33.\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -16*u + 68. Give m(2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (2\/2)\/(96\/216*(-4)\/32*-2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/5 - 534*r**2\/5 - 528*r\/5 + 1064\/5.\nAnswer: -2*(r - 1)*(r + 2)*(r + 266)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -11 (b) -2 (c) -1 (d) -2\/7 (e) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - 6 - 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -19 + 11 + 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7912? (a) -1 (b) -3 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) + 1)*-2)**2*4.\nAnswer: 320*sqrt(5) + 8016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238 + 2*i**3 - 14*i**3 - 238.\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1643833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + sqrt(1008)*-1 + (-2*sqrt(1008)*2 - sqrt(1008)))*-3)**2.\nAnswer: 5225472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 51*p**2 + 9 - 6 - p**3 + 10*p**3.\nAnswer: 9*p**3 - 51*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3 - c - 1 + 3. Let t(i) be the third derivative of i**4\/4 + 5*i**3\/6 + 9*i**2. Give -22*k(y) - 4*t(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.216 - 0.184. Let y = 42.4 - 43. Sort 10, 1\/7, y, g in descending order.\nAnswer: 10, 1\/7, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqaaaaqa. Give prob of sequence aqq.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2620111?\nAnswer: 13, 201547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 1. Suppose -2 = -3*s + 5*s. Let j be (-4)\/22 + 285\/55. Let b(m) = 6*m**2 - m - 4. What is j*n(y) + s*b(y)?\nAnswer: -y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 1449 = f, 1175 = -3*f + l - 3137. Let s = 23077\/16 + f. Calculate the common denominator of s and ((-15)\/(-8) + -2)*67.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*(8 + -5 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5249.329 and -0.3.\nAnswer: 1574.7987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -170 + 242. Let a(h) = h**2 - h + 44. Let s be a(0). Suppose -s = -2*o + 4. Calculate the greatest common divisor of o and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 - -37. Suppose 0 = s + p - 0*p - 20, 3*s - 57 = -t*p. List the prime factors of s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 275852460 and 540.\nAnswer: 2482672140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 26 = -2*p - 5*j, -4*j + 26 = 2*p. Let y = p - 12. Is 2\/107 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (4 - (-4 - -2)) + -11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1489*a*l*o + 4*a*l*v - 337*a*l + 2*a*o + 8*a*v + 19*a - 83*l*o*v + l*o - 2*l*v - 2*v with respect to o.\nAnswer: 1489*a*l + 2*a - 83*l*v + l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-6))\/(s**(-2)*s))**(-2\/171))**3 assuming s is positive.\nAnswer: s**(8\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 96*a**3 + 6*a**2. Let z(u) = 96*u**3 + 4*u**2 - 1. Give 2*v(l) - 3*z(l).\nAnswer: -96*l**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -54*((-5)\/10)\/(-1). Let t = w + 27. Let p(s) = -2*s**3 - 2*s + 120. Let y be p(t). Calculate the highest common divisor of 15 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -361750 by 10.\nAnswer: -36175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a millennium in months?\nAnswer: 62400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54186545 to the nearest integer?\nAnswer: 7361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h. Let y be 10\/4*(-30)\/(-25). Let g(t) = -y*t + 3*t - 2*t. Calculate g(b(o)).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1240 - -25. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 11. Let l(c) = 2*c**2 + 2*c - 1. Let r be l(1). Solve -r*m - 4*s = -3, 30 = -5*m - s + y*s for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 157607 (base 9) to base 5\nAnswer: 11104300","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116154?\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 - 51 = 5*c. Let j = c + 38. Suppose -m = -6*m + 30. Calculate the remainder when j is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3169209624 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -7*t**4\/12 + 2*t. Let y = -5 - -8. Suppose -y + 0 = -3*p. Let r(b) = -b**2. What is p*z(n) - 6*r(n)?\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2539 = -362*z + 2167 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2129?\nAnswer: 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4*a**2. Let p(s) = -316*s**2. Calculate k(p(y)).\nAnswer: -399424*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k\/k**(-7)*k)\/k*((k*k**(-16))\/k)\/k)\/(k\/(k\/k**19)*k**(-15)\/k*k) assuming k is positive.\nAnswer: k**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(-2\/9)))\/f*f**(-1\/12)*f assuming f is positive.\nAnswer: f**(-11\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9026673*w**2 - 104233*w - 90.\nAnswer: -18053346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-33) - 448\/(-154). What is the third derivative of -980*q**3 - 2*q**4 + 91*q**2 + x*q**5 + 980*q**3 wrt q?\nAnswer: 180*q**2 - 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9\/16 or 0?\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 d when three letters picked without replacement from {l: 3, s: 1, d: 3, p: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8153, -16251, -24351, -32453, -40557?\nAnswer: -48663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxjjxjjyxxy. Give prob of picking 2 y.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-2)*((-684)\/1458)\/19?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -3. Let j = 0.08 + 0.22. Let d = -0.4 + j. Which is the closest to d? (a) m (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1200201201 (base 3) to base 10\nAnswer: 33337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9b96 (base 12) to base 16.\nAnswer: -4362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -69, -3.7, -3, 11, -20 in decreasing order.\nAnswer: 11, 0, -3, -3.7, -20, -69","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -376*r. Let a be w(-5). What is a rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25.7 - 26.7. What is the biggest value in v, 31, 1\/8?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-4) - 30\/(-72). What is the closest to 1 in 0.4, -0.5, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -238\/3 + 79. Let j(g) = g**3 - 3*g**2 - 4*g - 1. Let b be j(4). Let r = b - -1. What is the closest to r in -5, -0.1, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 16. Sort 0.1, -0.4, w, -3 in increasing order.\nAnswer: -3, w, -0.4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w\/w**(-9)*w*w*w)\/w**(-6))**(12\/11)*((w**(-2\/9)\/w)**40)**(-9) assuming w is positive.\nAnswer: w**(5092\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y - 1. Let l be m(-1). Suppose -l*r = r - 8. Let v = -123 + 123.2. What is the smallest value in -0.5, v, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 11274512 and 11.\nAnswer: 11274523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 7*h + h**3 - 9*h + 13*h + 12*h**2 + 8. Let w(a) = a**2 + 9*a + 7. Let s be w(-6). What is the units digit of t(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p = -2*p - 4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2424304 weeks in minutes?\nAnswer: 2443.698432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*m**3 - m + m + 39*m**3 - 38*m**3.\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 681 - 681.002514. Round t to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, y: 5, e: 5, j: 3, z: 2}. What is prob of picking 1 o and 1 z?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 7, -1, 2, 1 in ascending order.\nAnswer: -1, 1, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -69.52.\nAnswer: -69.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**3)**15*c**0*c*c\/(c**(2\/29)*c)*c)**(-12) assuming c is positive.\nAnswer: c**(-16332\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40316312.\nAnswer: 2, 67, 75217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -3818 > -8\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -729, -735, -733, -723?\nAnswer: -705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 + (-1 - -8 - (44 + 24 + -75)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4\/3 (b) 0.54 (c) -1\/4 (d) 0.4 (e) -158\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**4 - 2*d**3 + 2*d**3 + (-2*d**3 - 3*d**2 + 3*d**2)*(0*d + 5*d - 2*d) + (2*d**4 - 4*d**4 + 3*d**4)*(-6 + 4 + 0).\nAnswer: -7*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2122579 and -6.\nAnswer: 12735474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 5*g + 43, 5*z - 5*g = 3*z + 11. Suppose 0 = 5*y + y - z. Solve 4\/7*t**4 - 2\/7*t**5 - 4\/7*t**2 + 0 + 2\/7*t + 0*t**y = 0 for t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7953*-0.1.\nAnswer: 795.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, 4, 6, -2, 0.029 in increasing order.\nAnswer: -2, -2\/17, 0.029, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7159111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 3*j + 1. Suppose -2*f = -5*d + 12, 0*d = -f + d - 6. Calculate u(f).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4 = 2*l. Suppose 2*q + 5 = -w, 5 = 5*w - l*w + 2*q. Suppose -5*h = 5*m + 18 - 78, 12 = 3*m - w*h. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 20*a - 45 = 0. Calculate the highest common divisor of a and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-2) - (-4)\/((-4)\/45). Let w = o + 302\/7. Which is the closest to 3? (a) 0 (b) -5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**3\/k)\/(k**(4\/15)\/k)*(k\/k**(-24)*k)\/k**(-3\/13))**(-2\/97) assuming k is positive.\nAnswer: k**(-11296\/18915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111235700.\nAnswer: 2, 5, 71, 15667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -6) + -3 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -361*t**2 - 21 + 6 - 95*t**2 + 3 + 10 in the form k*t + b*t**2 + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3717.00001439 + 3717. Round f to 7 dps.\nAnswer: -0.0000144","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13016 - -13015. Put f, -4, -2, -102 in decreasing order.\nAnswer: f, -2, -4, -102","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + 2*t - 2. Let n = -33 - -46. Let d = 9 - n. Which is the nearest to -0.1? (a) t (b) -2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 711437*v**2 + v - 295533 wrt v?\nAnswer: 1422874*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1830, -2\/17, 144?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*r + 2449 = 34*r - 2951 for r.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16.22938 + -0.23898. Let y = 16 - l. What is y rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1501*i + 6425*i = -260*i - 65*i + 396048 for i.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21392, 21391, 21390, 21389?\nAnswer: 21388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11777153?\nAnswer: 937, 12569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 517? (a) 0 (b) 2\/7 (c) 45\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13672, 14410, 15146, 15880, 16612?\nAnswer: 17342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, -2\/3, 0.06, 104 in decreasing order.\nAnswer: 104, 48, 0.06, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 + (-47 - -40) - -21.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 5. Let j be (3\/p)\/((-1)\/(-6)). Solve j*w - 6 = -r, -3*r + 4*r + 5*w - 21 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3 + 7 + 7 + 6*h - 11*h - 14*h - 5*h**2 wrt h?\nAnswer: -10*h - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/4)\/((-3)\/12). Let w = -1504 - -1514. Calculate the least common multiple of w and (c\/3)\/(3\/9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -51, -106, -173, -258, -367, -506?\n\"Answer: -x**3 - 48*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + g + 75 = 5*v, 0 = -2*g + v + 57. Let j = 5 + 1. What is the highest common divisor of g and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -21387, 359 in increasing order.\nAnswer: -21387, 4, 359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -4270 (b) 5\/167 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 57*b**2 + 3 + 2.\nAnswer: -57*b**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 111 - 110.9. Let g = -75 - -75.2. Let m = 32 - 29. Which is the third smallest value? (a) v (b) m (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15124? (a) 0.2 (b) 5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -17*c - 11. Let v(h) = 8*h + 5. Let p(x) = 4*q(x) + 9*v(x). Let y be p(-1). What are the prime factors of 3\/(9\/y) - -13?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6023*i**3 - 544*i*s + 14333526*s wrt i?\nAnswer: 18069*i**2 - 544*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d**(-2\/5))\/d)\/d)\/(d\/(d**(-2\/19)*d))*(d**(3\/2)*d*d)**(-47))**(2\/61) assuming d is positive.\nAnswer: d**(-31541\/5795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -255.652626 - -59\nAnswer: -196.652626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 33b33 + -80?\nAnswer: 33a83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 - 4*s**2 + 4*s**2)*(5*s + 0*s + 7*s + 1).\nAnswer: -12*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -50*h - 27. Let p be c(-11). Suppose -p + 48 = -5*o. Let z = o - 66. Calculate the greatest common factor of 116 and z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 0*p**3 - p**4 + 5*p + 5 - 5\/2*p**2. Let v(s) = 0 + 3 - 1 - 2*s - 2*s**3 + 0. Give 2*c(h) - 5*v(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1663082?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) 1 (c) -1\/2 (d) -0.079 (e) 37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*n**4 + 5*n**4 + 2 + 10 wrt n?\nAnswer: 44*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.1465 days to milliseconds.\nAnswer: 5283057600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1587317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 + 4*c**2 + 0*c**2 - 12*c**2 - 2*c**2.\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*p - 894972 = -243031. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 24*w**3 - 16*w. Let k(b) = 5*b**3 - 3*b. Let u(j) = -j**3 - 6*j**2 - 13*j - 24. Let f be u(-5). Give f*k(d) - 3*l(d).\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 70163451 and 2.2?\nAnswer: 70163448.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7554, -8687, -9822, -10959, -12098?\n\"Answer: -p**2 - 1130*p - 6423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of r**6\/120 + 2*r**5\/5 - 13*r**4\/6 - 20*r**3\/3 - 82*r**2. What is the tens digit of p(-24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**2 - 396*x = 0.\nAnswer: 0, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 226427 (base 8) in base 5?\nAnswer: 4431304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/4)\/(14\/56). Solve -3*q + 4 = 4*k, -o*q + 3*k - k - 2 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -14. Suppose -2*g - 5 = -r. Let q be (-16)\/(-130 - -2) + (-33)\/8. Put q, -1, g in increasing order.\nAnswer: q, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -153645 divided by -5\nAnswer: 30729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -21*r**2. Let z(p) = -7*p + 6. Let a(c) = 9*c - 8. Let n(y) = y - 1. Let j(u) = -a(u) + 3*n(u). Let f(h) = -6*j(h) + 5*z(h). What is f(v(o))?\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + -3)\/((-2)\/(-18)). Let r = 34 - 28. What is the units digit of l\/(-1) + r\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 869 and 27590983002?\nAnswer: 27590982133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u**3 + 14*u**2 + 8*u + 11. Let o(h) = 2*h**3 - 9*h**2 - 5*h - 7. Let y be (-135)\/54*(8 - 6). Calculate y*q(p) - 8*o(p).\nAnswer: -p**3 + 2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -k + 3*y, 38 = 5*k - 3*y + y. Let m(l) = 4*l + 13 + k - 20. What is m(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f**2 - 13*f + 27. What is l(-7)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3420 + -3419.7222. Let p = w - 0.0778. What is the closest to 0 in 3, -2, p, 8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*b + 9*b + 3. Let n = 74.01 + -74. Let u = -92 + 95. What is the nearest to n in -1\/3, b, u?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1274161 is divided by 7452?\nAnswer: 7321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 6:42 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 434 is divided by 427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*t - 4. Suppose 299 + 133 = 54*z. What is the smallest common multiple of t*(-12)\/z - -8 and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8696 and -1033.66406.\nAnswer: 7662.33594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -5 + (-3 - -11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1932?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300 is divided by 101.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 580 + -579. Put x, 23, 5 in ascending order.\nAnswer: x, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-64)\/(2 - (-75)\/(-30)). What is the greatest common divisor of 688 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a century in months?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 2123 = 2*v. Let g = v + -184. Solve -11 - g = 10*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -9*r + 1. Let l(t) = 8*t - 1. Let c(h) = -5*d(h) - 6*l(h). Let i(q) = -q**2 - 9*q + 11. Let o be i(-10). Give c(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(6\/13)\/w*w)\/(w\/(((w*w*w**10*w)\/w*w)\/w)) assuming w is positive.\nAnswer: w**(149\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9890 - -12b?\nAnswer: -9762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 70 + 28 = 0. Suppose -p - x + 5*x = -82, -4 = x. What is the greatest common divisor of p and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-8)*18\/99*(-1 - -9). Let s be 60\/27 - (-6)\/(-27). Is s less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*w**3 - 5*w**5 + 5*w**5 + 8*w**5 + 18*w + w**5 - 31*w**3 wrt w?\nAnswer: 180*w**3 - 174*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b - 4. Let h be g(-8). Let t = 10 + h. Suppose i + 2*i = t. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105553 times 0.08\nAnswer: 8444.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 20 - 17 - (27 + -31)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 11002201022?\nAnswer: 11002201102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/33824 and -17\/2653.\nAnswer: 12819296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 5\/94?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3338, 3288, 3146, 2864, 2394, 1688, 698, -624?\nAnswer: -2326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 39.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 596921*w - 2984620. Calculate s(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 18*g**2 + 15*g - 59. What is the remainder when 502 is divided by s(-19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 4)\/(-4 - -2). Solve -3*g + 2*b = r, -3*g + 7 = b - 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9.469 and -16?\nAnswer: -151.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 174.0067 and -206?\nAnswer: 380.0067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.111329l in millilitres?\nAnswer: 5111.329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -42, -1 in increasing order.\nAnswer: -42, -13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**5\/60 - x**4\/6 + x**3\/2 + x**2. Let h be p(4). Solve -2*w = -h*w + 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10 + 10 - 8*v**4 - 5 - 1 + 5 - v**4 - 3*v**4 + 15*v**2 - 15*v**2 - 2*v**4 + 0*v**3 + 0*v**3 + (-5*v**3 + 2*v**3 + 4*v**3)*(5 - v - 5).\nAnswer: -15*v**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8 + 4 + (2 - -7). Let h = q + 3. Suppose 0 = -5*w + 10 - 0. Solve z = -4*n - h - 3, -4*n = -2*z + w for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 70 = 7*q. Calculate the highest common divisor of q and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -20*d + 49. Suppose d*b - 11*b + 5336 = 0. Is b a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22361, 44720, 67079, 89438, 111797, 134156?\nAnswer: 156515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -60*u**2 - 59*u + 1.\nAnswer: -(u + 1)*(60*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence epke when four letters picked without replacement from {d: 3, o: 3, i: 4, e: 3, k: 4, p: 3}?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*o - 3*o + 2*o)*(0 - 2 - 1) + 3*o + 0*o - o - 3 + 2*o + 3 + (2 - 2 + 1)*(0*o + 2*o - o) - 1 + 1 - o.\nAnswer: -20*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5f688a (base 16) to base 3.\nAnswer: -102202200001211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 253.25 and -3421.\nAnswer: -866368.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0631 + -6554347526.\nAnswer: -6554347525.9369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41879*d*m**4 - 2*d*m**2 - 2*d*m + d - 1492*m wrt m.\nAnswer: 502548*d*m**2 - 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 + 2*f**3 - 2*f**3 + (2 - 5 + 1)*(9*f**3 + 6*f**3 - 6*f**3) - 15*f - f**3 + 15*f + 5*f**3 - 3*f**3 - 4*f**3.\nAnswer: -22*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 56970997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sdis when four letters picked without replacement from {s: 5, d: 3, f: 3, i: 6}.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 245 - 6675?\nAnswer: -6430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/245*-21 + (-49960003)\/5. Round v to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = 3*j - j - 5*x, j = -2*x + 84. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 179203*a**2*l - 2*a**2 + 8*a*l**2 + 5*a - 106546 wrt l?\nAnswer: 179203*a**2 + 16*a*l","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j + 5. What is the remainder when v(11) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 462 = 17*w. Let n(g) = -9*g - 87. List the prime factors of n(w).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321438 is divided by 1120.\nAnswer: 1118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 0 - 20*h + 10 + 8.\nAnswer: -20*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55974 and 3534?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-5 - 1) + 0 + 8 - (136 - 144).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1702 - -8512\/5. What is the second smallest value in 6.4, b, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*v + 5, -2 + 12 = -2*x. Let s(t) = -7*t. Let d(b) = -7*b + 12*b + 6*b. Let u(m) = -5*d(m) - 8*s(m). Calculate u(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from ttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 8*v**2 - 2*v. What is n(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyk when three letters picked without replacement from {k: 8, i: 8, y: 2}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -40. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -244.1 - -17.1. Let f = o + 227. Let v = 0.3 + -0.1. Which is the closest to -2\/5? (a) v (b) f (c) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2591*z + 54513. Calculate s(-21).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5155745, 10311492, 15467239?\nAnswer: 20622986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1834*t - 30432 = 566*t for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-3 + 13 - 8)) + (14 + -10 - -8).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 4. Suppose 0 = -2*x + 4*x. Let s(r) = r + k - r - r + x*r. Determine s(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*t = 26*t + 4*n - 177, 4*t + 4*n - 672 = 0. What is the greatest common divisor of 132 and t?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -7*j**4 + 40*j**3 - 110*j**2 + 120*j - 43. Let z(u) = -190*u**4 + 1080*u**3 - 2970*u**2 + 3240*u - 1160. Let r(a) = -55*s(a) + 2*z(a). Factor r(y).\nAnswer: 5*(y - 3)**2*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19288 - 11098. Round i to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8317883?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -5347?\nAnswer: 5344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*(l\/(l*l**(4\/13)))\/l*l*l**10*l assuming l is positive.\nAnswer: l**(152\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-1)*(-9*44\/66)\/((-10)\/(-5))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 17 - 3 = 0. Suppose f*l - i = i + 130, 3*l - 2*i - 96 = 0. Calculate the remainder when l is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 8:01 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -6*j**2 - 75*j - 196. What is t(-6)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and 784346750488.\nAnswer: 784346750488.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1740 + -1740. Suppose 4*q - 5 = -q. Let g be 5\/25 + (-14)\/(-5). Sort j, g, q in ascending order.\nAnswer: j, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180 divided by 2.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6 from -16531.\nAnswer: -16525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2*2\/(-16))\/(7\/(-84)). Let o be (42\/(-15) - -2)\/(4\/(-10)). Put 5, l, o, 1 in decreasing order.\nAnswer: 5, l, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*(5 + 1 + sqrt(147) + 3 + 2 + (sqrt(147) - (-1 + sqrt(147))) + -3)**2 + -2.\nAnswer: -454 - 252*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -11 + 5 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 575651 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3761, 12032, 24809, 42092, 63881, 90176?\nAnswer: 120977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4 - 304*p**3 - 17328*p**2 - 438976*p - 4170272.\nAnswer: -2*(p + 38)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5608.265 decades in years?\nAnswer: 56082.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 216\/243 - (-4)\/(-6) - 0\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -287562 - 49.43.\nAnswer: -287611.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -758168347\/1473668310 + 47\/465614. Let f = 4\/211 - c. Determine d so that -16\/15*d**2 - 2\/3*d**3 - f*d + 0 - 2\/15*d**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 34\/(-14)*-1. Let g = 57\/35 - c. Let l = 0 + 0.5. Sort l, g, -1\/5.\nAnswer: -1\/5, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22058*a = -22092*a - 22120*a + 66469*a + 5174 for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 492, 984, 1476?\n\"Answer: 492*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 7*w - 1. Let x be q(-2). Let a be (6\/5)\/(9\/30). Let p = a - x. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-10) - 472\/295. Let n = -0.09 - 0.09. Let h = -0.48 - n. Put h, 2\/23, x in decreasing order.\nAnswer: 2\/23, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -99*w**2 + 5*w - 5. Let h(b) = -940*b**2 + 47*b - 47. Calculate -5*h(v) + 47*l(v).\nAnswer: 47*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -397.9*-0.01\nAnswer: 3.979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 2 = 3*v + 1, -3*v - 11 = -4*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158353.\nAnswer: 13, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 40*f - 2*f**4 - 3 + 12*f**4 - 6*f**2 - 7*f**4 + 7*f**2 to y*f + x + p*f**2 + r*f**3 + q*f**4 and give y.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/28 and 111\/51940.\nAnswer: 51940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -24 - 21 + 124 - 6*i - 28 - 28 - 32. Let p be 3\/3 - (-4)\/1. Let n(a) = -7*a - 10. Give p*l(g) - 4*n(g).\nAnswer: -2*g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/83)*w**(-1\/37))**11 assuming w is positive.\nAnswer: w**(-99\/3071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(24\/8)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * -4780.\nAnswer: 38240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 158664, 317327, 475990, 634653, 793316, 951979?\n\"Answer: 158663*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m**2. Let r(w) = 1777*w - 6928. Give r(b(n)).\nAnswer: 8885*n**2 - 6928","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 21*v + 12. Let c(a) = -2*a**2 + 43*a - 24. Let s(t) = 4*c(t) + 9*w(t). Let m be s(9). List the prime factors of m\/(-9) - 6\/9.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 397*x - 6 + 268*x to p + f*x and give f.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 4924.42335 microseconds?\nAnswer: 0.000000008142234375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24410 - 0.3?\nAnswer: 24409.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 17*y. Let w(o) = -5*o - 5*o + 2*o. Let g(k) = 5*w(k) + 2*z(k). Let r(u) = -11*u**2 + 9*u**2 + 3*u**2 - 4*u**2. Determine g(r(j)).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7826*q**2 - 2*q**3 + 8206*q**2 + 8 + 5 - 19 + 6.\nAnswer: -2*q**3 + 380*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, -0.3, 107, 0.06, 2 in decreasing order.\nAnswer: 107, 2, 0.06, -0.07, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*r = 24*r + 16. Calculate the common denominator of (4\/30)\/(2*r\/745) and -40\/33.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 8*l**2 - 8*l - 3. Let x(b) = 3*b**2 - 3*b - 1. Let u(q) = 11*x(q) - 4*z(q). What is u(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - x = x. Let r(y) be the third derivative of x*y**3 - 1\/20*y**5 + 0*y**4 + 0*y - 1\/24*y**6 + 0 - 5*y**2. Find the third derivative of r(b) wrt b.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 72 + -6?\nAnswer: 6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - -758. What is the first derivative of q + 774 + 76*p**2 - 1526 wrt p?\nAnswer: 152*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -646*z**3 + z**2 - 2 + 692*z**3 - z**2 in the form w + o*z**3 + r*z + k*z**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 4 = -22*h + 24*h, 5*i - 3*h = 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5117\/40 + 128. Let f = j - -7\/40. Suppose p = -3*g + 2 + 4, 0 = -5*g - p + 10. What is the nearest to -1 in g, 2\/3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -17*h**5\/60 - 5*h**4\/6 + 22*h**2. Find the second derivative of g(m) wrt m.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 140 - 140. Suppose -y - 80 + 79 = l. What is the nearest to 2 in -0.1, y, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-14)\/(-3) - 3) + -1. Let q be -4 - ((-102)\/21 + ((-40)\/28 - -1)). Is q not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 37, 78, 73, -38, -315, -818, -1607?\n\"Answer: -10*b**3 + 37*b**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -256 - -258. Suppose 5*r - r + 20 = 0, -1072 = -2*s + x*r. Is 38 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(128) + 0))**2 + (-1*sqrt(128) + -3 - sqrt(128)).\nAnswer: -16*sqrt(2) + 4605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 - -30. Let w(l) = 5*l**2 + 1 - b*l**2 - l - 2. Calculate the remainder when w(-2) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 593229827.\nAnswer: 127, 4671101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - h**3 + 1)*(5*h - 5*h + h) - 4*h**4 + h**4 + h**4)*(5 + 4*h - 5*h - 3).\nAnswer: 3*h**5 - 6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -177663*m + 1421286. What is r(8)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25\/251 + 176\/753. Let o(z) be the second derivative of -1\/2*z**2 + i*z**3 - 1\/12*z**4 - 12*z + 0. Factor o(a).\nAnswer: -(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1\/9, 1, 6, -1\/3 in decreasing order.\nAnswer: 6, 1, 0, -1\/9, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -255326 and -255326 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2613 is divided by 349?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyq when four letters picked without replacement from {y: 7, q: 6}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-14))\/(5\/10). Sort 5, r, -17.\nAnswer: -17, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -323*z + 329*z + 42 = 0 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**2 - 278646*c + 278648 = 0?\nAnswer: -139324, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 2*n + n)*(3 - 12 - 6) + (-5 + 3 + 0)*(3 - n - 3).\nAnswer: -28*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*s, -2*v - 5*s - 300 = -321 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-66))\/(2\/2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rfwawawfrfyrwyw. Give prob of picking 3 f.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 23*f**2 - 18*f - 7. Let a be p(24). Let z = a + -133. Factor 0*j**2 + 0*j + 0 - 2\/7*j**3 - 2\/7*j**z.\nAnswer: -2*j**3*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2. Let w(m) = 1568*m. Calculate k(w(p)).\nAnswer: -2458624*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4\/7 - 12*c**3\/7 + 64*c\/7.\nAnswer: -2*c*(c - 2)*(c + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -40153 at least -40155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x - 120 + 27 = -53 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -21*a + 1329. Calculate x(23).\nAnswer: 846","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 49. Let j be n(-11). Let m = j + -77. What is the nearest to -5 in -0.4, m, 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 b when two letters picked without replacement from nbjvjtvqq.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3200.83587 from 7143.\nAnswer: 10343.83587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(204)\/((sqrt(12) - sqrt(12)*3)*5).\nAnswer: -3*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of 3*a**6\/20 - 29*a**5\/30 + 2*a**4 - 4*a**3\/3 + a**2 - 18*a. Factor y(g).\nAnswer: 2*(g - 2)*(g - 1)*(9*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**5\/2 - 1181*c**4\/4 - 147*c**3 + 1181*c**2\/4 + 295*c\/2 = 0.\nAnswer: -590, -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-38 + 2*r + 3 + 6 - 7*r)*(12*r**3 + 38*r**3 + 36*r**3) to a*r**3 + p*r**2 + u*r + y + t*r**4 and give a.\nAnswer: -2494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 4 + (-4 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 75 = 5*q, c - q - 14 - 31 = 0. Suppose c = -m + 11*m. Suppose -2*z + b - m = -62, 0 = -z - b + 21. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*k - 50*k = -u - 37071, 0 = 5*k + 4*u - 46302. Solve k*t = 9275*t + 54 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4841 + -3769. Calculate the least common multiple of h and 5.\nAnswer: 5360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*f*j**3 - 2626369*f*j*m + 2*j**3*m - 330833500*m with respect to f.\nAnswer: -10*j**3 - 2626369*j*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1186, -5515, -16684, -32321, -52426?\nAnswer: -76999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131266.5 days to hours.\nAnswer: 3150396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3888176.7 to the nearest ten thousand.\nAnswer: 3890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.04679 - 12.04679. Which is the nearest to -0.1? (a) 3 (b) 103 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 60 - (-1 - (-1 - 2)). Suppose 219*u - 5 = -5*s + 214*u, -3*s = 5*u - 1. Suppose -b = -s*b + j. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3)*(1 - 2*b - 1)*(35*b - 14*b + 17*b)*(1 - 2 - 3)*(-3 - 2 + 4)*(5 + 0 - 3).\nAnswer: 1216*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42*a**2*t*z + 8*a**2*t + 9*a**2*z + 35*a**2 - 2*a*t - 17*a + 21268*t*z wrt a.\nAnswer: -84*t*z + 16*t + 18*z + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 672622 is divided by 336197?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 150646244 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.4617 rounded to 1 decimal place?\nAnswer: -12.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17298\/4154 - (-1 + 5) and -113\/6?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 1 + 3*m**3 + 0*m + 0*m**5 - 1\/6*m**6 + 0*m**4 + 0*m**2. Find the third derivative of p(v) wrt v.\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3\/3 + 272*w**2\/3 - 692*w + 600.\nAnswer: 4*(w - 6)*(w - 1)*(w + 75)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18011 is divided by 316?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 99 - 143. Let g = i + 78. Let f = -15 - -24. What is the remainder when g is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hthhhhhhhthhthh. Give prob of sequence hth.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 366449.\nAnswer: 4\/366449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/13277388, -4, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 152\/6*(-18)\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3015768*d**2*s**3 - 20*d**2*s**2 + 103*d**2 - d*s**3 + d + 98*s**2 wrt s.\nAnswer: 18094608*d**2 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.6 (b) 2 (c) -0.06 (d) -0.01 (e) -12\/7 (f) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n - 11. Suppose 0 = -3*u + 3*k - 6*k + 42, -5*k = -u + 2. Let b be w(u). Sort b, 0, 18 in increasing order.\nAnswer: 0, b, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnhnnnhihihnnnnn. Give prob of picking 1 i and 1 h.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/16 - (-9)\/4. What is the second smallest value in 4, -5\/2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -4) + -3 - -4 - (3 + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/10)\/(6\/15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**5\/3 + 453*s**4 - 205209*s**3 + 30986559*s**2 = 0. Calculate s.\nAnswer: 0, 453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 2)*1\/12. Let t = 18266 - 18267. Sort m, 5, t in increasing order.\nAnswer: t, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 6*t**2. Let i(z) = 6*z**2 + 34. What is o(i(d))?\nAnswer: 216*d**4 + 2448*d**2 + 6936","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p - 257 = -202 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -287a68 - -21?\nAnswer: -287a47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7968 by 6.\nAnswer: 1328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 8*a**2 - 1 + 4*a + 0*a - 7*a**2. Let v be s(-5). Let p be 350\/(v + 562\/(-140)). Round p to the nearest one thousand.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 37 = -5*o + 2*a, -3 = o + 3*a. Let m(s) be the first derivative of s**3\/3 - 9*s**2\/2 + 2*s - 43. What is m(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 5*s**2 - 3230*s + 183645 = 0.\nAnswer: 63, 583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j + 32. Suppose 35*w - 34*w = -17. Let l be b(w). What is the biggest value in -3, -10, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 10*d**2 - 4*d - 9. Is y(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 11*l - 1. Give r(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 1 in increasing order.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**3 + 2*i**2 - 14*i + 6. What is the lowest common multiple of 180 and n(3)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*u**2 - 96*u**3 + 188*u**3 - 78*u**2.\nAnswer: 92*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*l + 12 = -z, -4*z - 50 = 5*l. Let p = -18 - z. Let y = p - -19. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 10*s = 6*s - 22, 5*s = 3*b - 20. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 1. Let p be n(0). Suppose b + p = -0*b. Let r be 3 + -1 - (0 - b). What is the nearest to -2\/5 in r, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -926 - 546 = -8*v. Suppose 3*j - 88 = -p, -j - v = -2*p - 3*j. Let d = p + -53. List the prime factors of d.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 d when three letters picked without replacement from dqdqddqd.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 4*m - 28, 42*m - 47*m - 8 = 3*w. Let u = -3 + 22. Let h = 19 - u. Solve 4 = -w*c - h*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400 is divided by 222.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 623356 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 171*y**5 + 2616*y**2 - 2*y - 2. Let o(a) = -513*a**5 - 7848*a**2 + 7*a + 7. Let l(v) = 7*n(v) + 2*o(v). What is the third derivative of l(f) wrt f?\nAnswer: 10260*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - y - 1. Let m = -32 + 31. Let n(u) = 4*u**3 + 9*u**2 + 13*u - 27. Let h(a) = m*n(a) + 5*c(a). What is the tens digit of h(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 375*n**2*w**2 + n**2 - 242*w wrt w?\nAnswer: 750*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -14 + (6 - (1 + 6)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, n: 1, f: 1, l: 2, b: 2}. What is prob of picking 1 f and 1 p?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 989023.1809129 + -988377.181. Let r = 646 - z. Round r to 6 dps.\nAnswer: 0.000087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 43362?\nAnswer: 43362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2\/9 - 948*c + 1263232\/9.\nAnswer: -4*(c - 139)*(c + 2272)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/220)\/((-12)\/858)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 765916 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 187 + -1499\/8. Let j = 0.026 + 2.974. Sort -4, c, j in ascending order.\nAnswer: -4, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 5*g - 4*x + 27, 0 = 3*x + 12. Let t = -122 - -118. What is the third biggest value in 2, 1, g, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 - 0.3. Let j = v + 1.1. What is the nearest to 2\/5 in j, -5, 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4935*j**5 + 1850*j**2 wrt j?\nAnswer: 296100*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -89*u + 66. Determine o(-2).\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -8*z + 11*z - 6*z + 10, -59*z = -3*j - 242 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1273 + -1251. Suppose 135 + 30 = 3*h. Calculate the greatest common divisor of h and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48825?\nAnswer: 3, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -3. Let h = 38\/2001 - -4445\/82041. Sort -2\/11, z, h in decreasing order.\nAnswer: z, h, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2276872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 22 (b) -0.6 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*c + 46, -5*u + 0*c = c + 58. Suppose 2 = -d - 0. Let j be d\/u - (-159)\/33. Solve n = j*y + 20, -6*y = 4*n - y + 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 21828 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.044154 plus -571240?\nAnswer: -571239.955846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l*l\/l**(-2\/5))))\/l*l)**(-14)\/(l**30*l**20) assuming l is positive.\nAnswer: l**(-418\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(405) - sqrt(315)\/sqrt(7))*-6.\nAnswer: -36*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7499, -644, -8785, -16924, -25061, -33196?\nAnswer: -41329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -7\/130 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.48907668 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t - 5*t**2 + 6*t**2 + 2*t - 2*t**3 in the form g + u*t + i*t**2 + s*t**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4432 and 13488.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20727356*t + 41454722*t + 9*t**2 + t**2 - 20727366*t.\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -3 (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 6*l**2 + l + 8. Let f be j(-6). Let g be 380\/154 + f\/(-7). Let k = 107\/44 - g. Do 0 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9686578 less than -9686578?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -5*s - 48 - 260, 2*k + 250 = -4*s. Let a = s - -80. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10\/3*t**2 + 0 - 1\/3*t**3 + 13*t = 0. What is t?\nAnswer: -3, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxffx. Give prob of picking 2 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24*(-18)\/1080)\/((-1)\/15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 214 + -126. Let q be 40\/22 - (-16)\/l. Let a be ((-12)\/9)\/(q\/(-9)). Solve 5*k - 3 = a*p - 2*p, 0 = p + 2*k - 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**5 + 31*q**4 - 222*q**3 - 320*q**2 + 512*q = 0 for q.\nAnswer: -2, 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 6:10 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 29\/161640, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiffif. What is prob of picking 1 i and 3 f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2480 - 2480 + b**3 + 0*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 3*d**2 - 3*d - 2. Let q be u(-2). Suppose -4*y - 75 = -23. Is -2 + q + 2 - y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1683 is divided by 98.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**5\/5 - 256*j**4\/5 - 2844*j**3\/5 - 9936*j**2\/5 - 7344*j\/5 = 0. Calculate j.\nAnswer: -51, -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189937*i**2 - 84 + 161 - 75.\nAnswer: 189937*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25 and -175819.\nAnswer: 4395475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 580 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1453 - -1451. Which is the nearest to 2\/15? (a) 4 (b) h (c) 43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**3 - 3*k**2 + 3*k + k**3 - 6*k. Let u(h) be the second derivative of -7\/6*h**3 - 3\/20*h**5 + 0 + h + 0*h**2 - 7\/12*h**4. Give -2*u(o) + 5*x(o).\nAnswer: o**3 - o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m**2 + 9. Let k(p) = -1. Determine -j(i) - 5*k(i).\nAnswer: -5*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzfrrfgr. Give prob of sequence fg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 1.5. Let p = -8841 + 8840.8. Let j = 71 - 211\/3. Which is the third biggest value? (a) p (b) r (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-165)\/(-44))\/(3\/12). Let d be (28 + -18)*(-186)\/m. Which is greater: -122 or d?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 488680687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.26 + -11.26. Put -2, t, -0.2 in descending order.\nAnswer: -0.2, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28311940?\nAnswer: 2, 5, 239, 5923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 0*o + 840. Suppose 5*g - 671 = -3*r + 172, -4*g = -3*r - 669. Is g at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114098.\nAnswer: 2, 89, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 43*g**2. Let i(a) = 119070*a. What is n(i(b))?\nAnswer: 609639590700*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179986?\nAnswer: 2, 31, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-4) + 4\/(-3). Let b(f) = -f**3 + 32*f**2 + 2*f - 66. Let v be b(32). Is w bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3610129319?\nAnswer: 3610129319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 - (5 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w + 10*w = 616. Suppose -w*a + 1734 = -11*a. What is the least common multiple of 27 and a?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + -1. Let z = -7 - -8. Let l = 1.3 - 1. Which is the closest to z? (a) -4 (b) h (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11089404 and 276.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59 + 108. Let k = w + -49.1. Suppose 3*c - 20 = -2*c. What is the nearest to k in c, -1\/3, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(-r + 0*r + 2*r) + 4 - 4 - 3*r + (5 - 1 - 2)*(2 + 2*r - 2) - 2*r + 3*r + r - 7 + 7 - r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -12, -16, -22, -30?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 147400 to the nearest one thousand.\nAnswer: 147000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1704 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q - 955 + 1910 - 955.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 465 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -5 (b) 5\/8 (c) 1\/7 (d) 5\/3 (e) 12\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61 + 13 - 13)*(7*l - 17*l - 11*l).\nAnswer: 1281*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*z**3 - 22*z**3 + 4*z**5 + (-2*z + 3 - 3)*(61*z - 13*z**4 - 61*z).\nAnswer: 30*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 0.2, -137, 3\/2, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372 - 2912 = -200*c - 684 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1031, 2418, 3805, 5192?\n\"Answer: 1387*f - 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*h - 5*a - 855 = -20*h, -5*h - 1074 = a. Let q(r) = 83*r + 4. Let o be q(4). Let f = o + h. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17858 - 17858 - 646*z**3)*(4 - 4 - 2*z**2)*(3 + 1 - 2).\nAnswer: 2584*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/8 (b) -11 (c) -0.037 (d) 2\/9 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/2)\/((-1)\/(-6)). Let v(z) = -z**3 - 4*z**2 - 6*z + 45. Let q be v(5). Let g = 213 + q. Solve -f*r = g*i - 3, -5*r + i - 19 = -0*i for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/50 and 17\/30.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) -15 (b) -2 (c) 0.04 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**4 + 2*l**4 - 3*l**4 + (9*l + l + 6*l)*(0*l**3 - 2*l**3 + l**3).\nAnswer: -15*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -2\/49 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 5*o**2 + o - 3. Let r(v) = v**3 + 5. Let n be r(0). Let p be j(n). Let k be p + -5 + 2 + 1. Solve k = -0*b + 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v - 5*v + 3*v + (5 + 0 + 0)*((-7 + 2 + 3)*(3*v + v - 3*v) + 4*v - 7*v - 4*v - 3*v + 2*v - v).\nAnswer: -57*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 0*h - 5\/24*h**4 - h**2 - 1\/6*h**3 + 1. Let q(p) be the second derivative of g(p). Determine q(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/7 and 37\/14483.\nAnswer: 14483","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 436283 or 436289?\nAnswer: 436289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13380, -13337, -13288, -13233?\nAnswer: -13172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*v**3\/13 - 8598*v**2\/13 + 1847280*v\/13 + 369800\/13.\nAnswer: 2*(v - 430)**2*(5*v + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.675781 litres?\nAnswer: 8675.781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 10) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2230 (base 14) to base 11\nAnswer: -44a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**3 - 8*j**2 + 6*j + 7. What is the hundreds digit of o(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 56\/3 (b) 5\/4 (c) -6 (d) -2\/3 (e) 2 (f) 5 (g) -2\/331\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 = 5.973?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 14*h - 18*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55 - 111. Let t = c - -59. Solve x - t*f + 9 = -7, -2*x - 5*f + 23 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 706 = -5*g, 0 = -n + 4*g + 390 - 24. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-10)\/y*y*y*y**(-2\/5))\/((y\/(y\/(y*y**(-1\/2))*y*y)*y)\/y**(-1)) assuming y is positive.\nAnswer: y**(-99\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4450*i**3 - 12*i**2 + 44*i + 15. Let x(v) = -4460*v**3 + 14*v**2 - 44*v - 15. Let n(g) = -7*f(g) - 6*x(g). Find the second derivative of n(h) wrt h.\nAnswer: -26340*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*l + 4 = -l, 0 = -2*n + 2*l. Let o = 5 + n. Suppose f + o = 8. Solve -6*z + 2 = -f*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) 2985\/7 (c) -7 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/832 and -4 - (-1 + ((-28359)\/1040)\/9)?\nAnswer: 4160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 72102277 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 87853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 815 + -815. What is the biggest value in 427, p, -2, -2\/11?\nAnswer: 427","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.96, 0, 2\/25, 0.05, -0.3, 4?\nAnswer: 0.96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 219. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33283*4\nAnswer: -133132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -183.5 and 948131.\nAnswer: -173982038.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**2 + 148*w - 7920 = 0.\nAnswer: -110, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x + 10. Suppose -5*f = -2*o - 3*o + 45, 3*f + 39 = 4*o. What is the least common multiple of o and q(2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19580457 to the power of 1\/2, to the nearest integer?\nAnswer: 4425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 7994 = q. Let t = q - 155. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 113cb + 1?\nAnswer: 113cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40.966 - 0.034. Let r = 44.8 + s. Let n = r + -4. Which is the closest to n? (a) 4 (b) -5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 8 = -p. Suppose p = 5*i - 132. Suppose -2*b + i = -0. What is the remainder when b is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6 + 3*b**3 - 9 + 1 with respect to b.\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -21 + 14 + 7*r - r**2 - 4*r + 5*r. Let n be 1 - -1 - 1*-4. Let g be o(n). Solve g*i = 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/780)\/((-2)\/6)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -j + r, 22 + 8 = 2*j - 5*r. Let h = j + -5. Put -1, h, 0 in ascending order.\nAnswer: -1, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 192\/80*20\/6 - -4. Solve 101*h - 107*h = -r for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19002.\nAnswer: 2, 3, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3 + (sqrt(48) - sqrt(3072)*-3)*4)*-1)**2.\nAnswer: 86400*sqrt(3) + 17280324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 n, 1 w, and 1 p when four letters picked without replacement from wnwpnwwwsszzzos.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -n**6\/27 - 4*n**5\/45 + n**4\/9 + 16*n**3\/27 + 7*n**2\/9 + 4*n\/9 - 4. Factor g(t).\nAnswer: -2*(t - 2)*(t + 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + l + 0 + (-6*l - 2 - 17*l + 34*l)*(-5 + 3 - 5) - 4*l + 3*l + 0*l + (-3 - 3 + 7)*(2*l + l - l).\nAnswer: -75*l + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -86\/111 + 4\/37. Which is the third smallest value? (a) 15 (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -2*p - 2, 3*p + 4*r = 9*r + 30 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 + 3)*(-50074*f + 50074*f - 277*f**4).\nAnswer: -1662*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t**2 + 4*t - 3. Let o be g(-8). Let f be 5 + 0 - (11 + 48). Let s = f + o. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*k = 19*k + 5*x + 19978, -2*x = 3*k - 19964. Is 64 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 3*k + 6. Let d(x) be the first derivative of -2*x**3\/3 - 4*x**2 - 18*x + 1. Let m(h) = 3*d(h) + 8*p(h). Differentiate m(y) with respect to y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149697929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 16.96. What is i rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cyyycoyyyyyyyyyym. Give prob of picking 3 y.\nAnswer: 143\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 2*s + 4. Let l be y(-4). Suppose 2*v + 2*v = -l. Which is smaller: -4 or v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*r - 2*u + 11 = 0, -4*r + 4*u - 24 = 0. Let s be 57 + (-2 - r*3). Suppose l + 4*f - 1 = 0, -4*l - 2*f = 12 - s. Does 13 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -147.429661 rounded to two decimal places?\nAnswer: -147.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 22137382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -8, 2\/9, 3, -11?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*l + 11, 4*w = -3*l - 0*w + 33. Let d(x) = -x + 8*x - l + 9 - x**2. Determine d(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = b - d - 32, 0 = -b + 2*d + 17. Suppose -h - 4*j + 25 = 0, -3*j + 35 = 4*h - 0*j. Let v(y) = -2*y + 13. Let c be v(h). Solve b + c = -5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2203 = -2*j, -m = 6*j - 9*j - 738. Is m a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 529, -44\/15, 15?\nAnswer: -44\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - v - 15003 + 56999, -u + 5*v - 8380 = 0. Round u to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 0*u + 12 = p, -5*u = -3*p + 22. Calculate the least common multiple of 5 and (19\/u*-2)\/1.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1498*z - 2941*z + 130*z + 9960*z + 10515*z + (1 - 1 - 3*z)*(0 - 2 + 0) in the form m*z + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (345 + 202*k**2 - 345)*(-2*k**2 + 0 + 0) + (-k**2 - k**2 + 0*k**2)*(-9*k**2 - 24*k**2 + 16*k**2).\nAnswer: -370*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*u + 891 = -86*u. Suppose u*y = 42*y - 18. Let -14\/23*t**3 + 4\/23*t**4 + 18\/23*t**y - 10\/23*t + 2\/23 = 0. What is t?\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 70488*f**2*h*q - 2*f**2*q*s - 313*h*q*s + 650*h wrt f.\nAnswer: 140976*f*h*q - 4*f*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/20 + 8134\/(-1660)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + r - 1. Let f = -16 - -17. Let l be k(f). Suppose -v - l = -45. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a*c*d + a*c - 16*a*d**2 + 19*a*d + 28*a + 4*c*d**2 + 96414*c*d - d wrt c.\nAnswer: -a*d + a + 4*d**2 + 96414*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/17)*t*(t*t\/t**(-38)*t*t)\/t)\/((t*t**(-3\/17))\/((t\/(t\/(t\/(t**(-2\/25)*t))))\/t)) assuming t is positive.\nAnswer: t**(17059\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1860916554 a multiple of 1689?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-2)*537\/(-1). Let c = 821 - z. Let s = -14\/285 + 3377\/285. Find the common denominator of s and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**3 - 4*q**3 + 2*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51485.\nAnswer: 5, 7, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + w - 25 + 26 = 0, 0 = 8*v + 5*w - 9 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -187873.1?\nAnswer: 751492.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**3 - 4*b - 3. Let s = 420 - 418. Let w be r(s). Solve 0 = w*q - 3 + 13 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of s**6\/120 - 3*s**5\/20 + 7*s**4\/12 + s**3\/2 + 13*s**2. What is the least common multiple of v(7) and 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**(1\/2))*j)**(5\/11)\/(j**(5\/3)\/(j**(5\/4)*j)) assuming j is positive.\nAnswer: j**(167\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/15 + 268*z**2\/15 - 2*z\/15 - 268\/15.\nAnswer: 2*(z - 1)*(z + 1)*(z + 134)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18.5? (a) -1 (b) 4 (c) 65 (d) -157 (e) 1\/5 (f) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 7*r + 7. Let t be 1*(5 + 0 + -2). Suppose t*b = -5*q + 5, -q = -5*b + 4*q + 35. Let o be n(b). Calculate the highest common factor of o and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*v + 143690 = 1053199. List the prime factors of v.\nAnswer: 29339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 20*v**2 + 2 + 6 - 13*v**2. Suppose -5*s + k + 5 = 0, -3*s - 5*k + 27 = -2*s. Let c(d) = 11*d**2 + 3 - 5*d**2 - s + 6. Calculate 6*c(u) - 5*r(u).\nAnswer: u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*j - 44*j = 216 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 1:40 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -17. Which is smaller: r or 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2 + 26*k + 28. Let z be j(-12). Suppose -2*w = 3*d - z*d + 105, -4*d - 4*w + 408 = 0. List the prime factors of d.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -104759, -104759, -104757, -104753, -104747?\n\"Answer: i**2 - 3*i - 104757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*a - 49 = 0, -5*j + 135 = -11*a + 9*a. Solve -3*o - 4*i = -32, -o = 7*i - 2*i - j for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144 and 50?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 15 - 57)*(-2*y**2 + 0*y**2 + y**2).\nAnswer: 69*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/13 + (153 - 151)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -199288, -398575, -597862, -797149, -996436?\n\"Answer: -199287*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1952203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 373 - 375. What is the nearest to -14 in 0.3, k, -2\/5, -1\/8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5837223 smaller than -5837221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**3*p + 34723*c**2 + 1773*p - 17 wrt c?\nAnswer: -6*c**2*p + 69446*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 5*k**6\/9 + 122*k**5\/15 + 107*k**4\/6 - 82*k**3\/9 - 112*k**2\/3 - 40*k\/3 + 1011. Suppose h(a) = 0. Calculate a.\nAnswer: -10, -2, -1, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -27*o**3\/7 - 355556772*o**2\/7 + 33862551*o - 39506310\/7 = 0.\nAnswer: -13168770, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -21020000 rounded to the nearest 1000000?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 3*x - 18. Sort 0, -2, x in descending order.\nAnswer: x, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/296 != -2\/85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-7)*i)\/i*i*i*i*(i\/i**(1\/33))\/i)\/(((i**2*i)\/i)\/(i**(-24)*i*i)) assuming i is positive.\nAnswer: i**(-925\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 140892390 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -427, -429, -431?\nAnswer: -433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42952 is divided by 54?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7100 and 7526?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -9*p**3 + 4*p**2 - 4*p - 4. Suppose 0 = -2*o - 2*w - 94, -2*o + 0*w - 96 = 3*w. Let a(b) = -99*b**3 + 45*b**2 - 45*b - 45. Give o*d(q) + 4*a(q).\nAnswer: 9*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1605\/232 - -163433\/32712. Let h = i - -12\/47. Let g = 22\/3 + -7. Put h, 2, g in decreasing order.\nAnswer: 2, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 9 + 167*r - 145*r to the form f*r + w and give f.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m + 4*m = 7*m - 3738. Is m >= 176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17148073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -23*s**3 + s**2 - 16*s - 42. What is the second derivative of u(k) wrt k?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.9401 + -1.6401. What is the fourth smallest value in -0.3, 0.208, d, 2\/13?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 99904 to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15929 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 greater than -18042\/415?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0052995 to four dps.\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75205, 75207, 75211, 75217?\nAnswer: 75225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -20*j + 579. Let c be i(28). Solve -b - 5*k + 2 = c, -k = b + 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1235985384.\nAnswer: 2, 3, 51499391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-8 - -3)) + -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - w**2 - w + 9. Suppose -3*q - 12 = 0, -5*p + 4*p - 4*q - 16 = 0. Let z be a(p). Solve -d = 3*m + 5, d = 4*d - 3*m - z for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 3*h + 10 = 2*v, 3*h + 6 = 3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 18 (b) 4 (c) 0.3 (d) -7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -61 - n**2 + 61 + 20*n + 7*n as y*n + d + c*n**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4 = k, 5*k - 5*t + 10 = -0*t. What is the tens digit of (0\/k + (-2)\/(-2))*79?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -13*n**2 - 5*n + 5. Suppose -t - 58 = -2*v - 65, -2*v - 1 = -3*t. Let y(b) = -38*b**2 - 16*b + 16. What is v*y(z) + 16*c(z)?\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67167, 67163, 67157, 67149, 67139, 67127?\nAnswer: 67113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -56, 45, -0.12, -1, 1, 693?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (44 - 52 - -3) + -37 + (1 - -1).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 1162 and 5.\nAnswer: 1167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 33, 276, 727, 1392, 2277?\n\"Answer: i**3 + 98*i**2 - 58*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 7*z**4 - 191578*z**3 + 1313686643*z**2 - 39612051212*z + 11210493660 = 0.\nAnswer: 2\/7, 30, 13669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16564.6 and 4.\nAnswer: -66258.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3*o + 525, -4*i - 554 + 136 = -2*o. Let t = i - -262. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -0.794?\nAnswer: -0.397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1118 and 75556.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/17 (b) 41027\/8 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.11 + -1.09. Let w = 3 - 2. Let s = w + i. Put 0.1, s, 1 in increasing order.\nAnswer: s, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 277*u**2*v**4 + 36*u**2*v**2 - 3*u*v**2 - u*v + v**5 wrt v.\nAnswer: 6648*u**2*v + 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 136*n - 58. Let x be q(3). Let v = x - 111. List the prime factors of v.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 370*p**3 - 11*p**2 - 13148 with respect to p.\nAnswer: 1110*p**2 - 22*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 35 = 5*m, 2*m + 4461 = 3*b + 4426 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 521*u - 13444 = -4066 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - c + 198. Let z = c + -98. What is z rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182 = k - 7*p + 2*p, -k - 4*p = 182. Let g be ((-1)\/1)\/(k\/(-47)). Let w = 3\/26 + g. Sort -0.2, w, -0.1 in decreasing order.\nAnswer: -0.1, w, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/7 (b) 5 (c) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 76c7b2 (base 14) in base 8?\nAnswer: 17276430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -55, -8, -2 in descending order.\nAnswer: -2, -8, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31739 and 2.\nAnswer: 63478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 7*d. Suppose 15*q - 1 = 14*q. Let c be -2*((-3)\/2)\/q + 9. Let n(m) = 27*m - 18*m - c*m. Calculate n(f(b)).\nAnswer: -21*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 41883375 divided by 3\nAnswer: 13961125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 15, -4*y - y = -2*x - 14. Find the third derivative of 3*v**y - 25*v**2 - 87*v**2 + 49*v**2 - 29*v**6 - 24*v**2 - 82*v**2 wrt v.\nAnswer: -3480*v**3 + 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5396667705 to the nearest integer?\nAnswer: 73462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-one fifths of a minute?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 260 = -208. Is s >= 79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, 0.1, 0.5, -22, -0.2?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.052+-68.32\nAnswer: -68.372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 24.6 and 7?\nAnswer: 17.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3162514)\/(-80976)*1\/((-216)\/(-16)). Let j = d + -2\/19521. What is the common denominator of j and -79\/56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -178*q + 439. Determine y(1).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -3, 1\/23, 2\/3, -2?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**2 + 2*y**3 - 5*y**3 + 0*y**2 + 1 as u*y**2 + f + c*y + t*y**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2244)\/(-308)*(-7)\/(-3). Let a(o) = o + 16. Let z be a(-12). Let y = 7 - 5. Solve 0 = z*p - 3*t - q, 3*p - y - 17 = -4*t for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1179780160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 44\/195 - (137921\/(-15555) + 0 + 9 + 0)\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/65 < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 230477350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, l: 3, i: 3, f: 2}. What is prob of picking 1 i and 1 a?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 76555224 greater than 76555223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.07 and -0.0487?\nAnswer: 0.1187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*j**2*m**5 + j**2*m**3 + 207*j**2*m**2 + 3*j**2*m + 2*m**4 wrt m?\nAnswer: -180*j**2*m**2 + 6*j**2 + 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 19*d**2 - 4*d - 23. Let z be (4\/4)\/((-4)\/12). Is t(z) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1905\/1606 + -3\/73. Let u = 380575\/66 + -5766. What is the common denominator of k and u?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 17*t**3 - 201*t**2 - 29*t - 93. Calculate u(12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v**2 - v - 2. Let t be d(-1). Let o(a) = 13*a**t + 14*a**3 + 11*a**2 - 26*a**3 - 7*a - 4*a**2 + 6. Let q be o(-8). Which is smaller: q or -10\/13?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/3 of a day in hours?\nAnswer: 232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 3*o**2 - 3*o + 1. Let f be n(2). Let c(q) = -q**2 + q - 2. Let x be c(0). Which is bigger: f or x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 81216?\nAnswer: 81216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -64*z**4 - 55*z**2 - 6*z + 6. Let m(c) = 65*c**4 + 56*c**2 + 7*c - 7. Let u(a) = 7*l(a) + 6*m(a). Find the third derivative of u(p) wrt p.\nAnswer: -1392*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1970.179 rounded to the nearest integer?\nAnswer: -1970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -23?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/(-6))\/((-3311)\/(-172))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2. Let l(t) = 2314*t. Determine p(l(v)).\nAnswer: 5354596*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 8 - 12 = -5*l, -4*l - 3*m + 16 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 614*b - 5*v + 8 = 616*b, 3*b + v = -14 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*q = 3*s + 175*q, 3*s = 2*q + 24. Solve 6*y - s = -4*t + 4*y, 0 = -3*t + y - 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15374)\/31 + 0 - 0. Let x(o) = -o**3 + 18*o**2 - 8*o + 13. Let d be x(7). Let u = c + d. Which is bigger: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g*g**(6\/7)*g)*g*g)\/g**(-14)*(g*g**(6\/19)*g*g)\/g**2 assuming g is positive.\nAnswer: g**(1923\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7 + 2 + -331 - -7. Let a = f - -334. Let l be 2 + 5\/4 + 2. Is l greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z - 11. Let g(x) = -x - 4. Calculate 14*g(d) - 4*p(d).\nAnswer: -2*d - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.561 - 21.531. Let a = f - -20. Let o = -3\/20 + -7\/20. What is the second smallest value in a, o, 2\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 850 a factor of 356755824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00058473 rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -279 (b) 1 (c) 2\/9 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10914162 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.1 (b) 3 (c) -2 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 401 a factor of 278649150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 - 26. Suppose 3*b + 52 = k*b. Find the second derivative of 26 + 5*s**2 - b - 15*s wrt s.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 451.6298 nanometers?\nAnswer: 0.0004516298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9702516, 9702524, 9702532?\n\"Answer: 8*v + 9702508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**16\/(y\/y**(-1\/7)))**42)**(-2\/55) assuming y is positive.\nAnswer: y**(-1248\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221401 is divided by 839.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7461.\nAnswer: 3, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**4\/9 - 8*c**3\/9 - 2*c**2\/3 + 8*c\/9 + 8\/9 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 182 - 179. Let z be (u\/(-3))\/(4\/(-87 - -3)). Solve -5*k - 2*a = 17, 12 = -5*k + 2*a - z for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 7\/2*q**5 + 8*q**4 + 0 + q**2 + 11\/2*q**3 + 0*q = 0. What is q?\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -15, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 n, and 1 j when three letters picked without replacement from {n: 3, j: 7, s: 2}.\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3195865571?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6774561 by -2258187.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1686 - 1686 + z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3441340302110 + -4?\nAnswer: -3441340302114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61.7 + -62. Which is the fourth biggest value? (a) 0 (b) -1\/4 (c) l (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 184 - 371 + 2*o + 184. Let x(b) = b + 1. Let m be x(3). Let v be ((-4)\/(-5))\/(m\/(-20)). Give d(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 8. Suppose -2*r + 47 = l*x - r, 0 = -4*x - r + 95. Is 0 + -1 + x + 2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 + 6 - (-11 + 2)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.251 + 1.251. What is the closest to j in -1\/2, -4, -2\/9, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6, 1, 2, 3, -185221 in descending order.\nAnswer: 4, 3, 2, 1, -6, -185221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 27*m + 13. Determine u(13).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/3 (b) 16 (c) 50\/59 (d) -2.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1020 + 1052. Solve -13 = h - 3*r - 0*r, -5*h = -4*r + n for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -66852383*l**2*o**3 - 37*l*o**3 + 2*l*o - 391777*o**3 wrt l.\nAnswer: -133704766*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1200\/(-9)*46500\/(-2). Let c be (-1)\/(-4) + (-2)\/8. Suppose r = -c*r - p. Round r to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*(r\/(r\/(r*r**3\/r)))\/r*r*r)\/r)\/r**7)**(-30)*((r*(r\/((r\/(r\/r**(-1\/21)))\/r*r*r))\/r)\/r*r*(r**(-3\/4)*r)\/r*r)**(-14\/3) assuming r is positive.\nAnswer: r**(1055\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-5) - 421756\/554370\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -32. Let f = n - 26. Suppose -u - 7 = -0*u. Does f = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40a2 (base 11) in base 2?\nAnswer: 1010100111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -406 divided by 7\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 81*g**2\/2 + 272. Let d(c) = c. Give d(b(l)).\nAnswer: 81*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-440 - 21 + 32 - 12)*(-2 - 4*z + 2).\nAnswer: 1764*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (1 + -2 + 6 + -10).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.004 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - j**2 + j + 2. Let z(l) = 690*l**3 - 451*l**2 - 4*l - 8. Let d(f) = -4*s(f) - z(f). Find the third derivative of d(n) wrt n.\nAnswer: -4116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 25*u - 28.\nAnswer: -25*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 768 + 4\/6 + 24\/18. Suppose 20*q = 6*q - r. Let h be (-28)\/(-6)*(q\/(-7) + -7). Solve -h*c = -3 + 11 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 5:56 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 w when two letters picked without replacement from {w: 4, y: 2}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7768 and 403936?\nAnswer: 403936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + 2*u**2 - 4*u**2)*(-2*u + 8 + 0*u + 4*u) + 2*u - 2*u + 2*u**3 + (5*u**2 - 2*u**2 - u**2)*(-2*u + u - u) + 25 + 28*u**3 - 25.\nAnswer: 24*u**3 - 8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0188 in 1\/6, 0.8, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 90144 - 55219. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 less than -37.939270233?\nAnswer: -79.939270233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -7*s + 2*s. Suppose -2*r - q - 2*q = -43, 4*r + s*q - 84 = 0. Solve 5*u - r = u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p + 17. Calculate d(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 1:05 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-7 - -1) + -18 + -7?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.236 - 11.236. Let m = -10 + 14. Let h = 4.5 - m. Which is the third biggest value? (a) u (b) -0.1 (c) 1\/8 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 4. Let l = 1837.94 + -1808. Let d = 30 - l. What is the nearest to d in q, -1, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) 50\/39 (c) -22 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 6:01 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 0, -3*z + 4*z - 740 = -4*t. Let c = -125 + t. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*v - 6*v + 49560. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/1329, -14, -4 in ascending order.\nAnswer: -14, -4, 2\/1329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83027750?\nAnswer: 2, 5, 13, 59, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2993*w - 4. Let a be f(-2). Let n(k) = a - 5982 - k. Let d(v) = 8*v**2. Give d(n(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 25 = 8*v. Let t(a) = 5*a + 3. Let s be t(5). Suppose 4*h = -r - 9 - 0, 3*h + v*r = -s. Put -5, h, -2, -3 in decreasing order.\nAnswer: h, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence agr when three letters picked without replacement from agaiaraiioiaii.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-85))\/(72\/(42480\/(-413))).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00132678341 rounded to 5 decimal places?\nAnswer: 0.00133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -6 + 4 - 15\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y + 7. Let a be l(0). Suppose 2*z = a*z - 1435. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20784 divided by 6928?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (7 - (1 - 5 - -4))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.517 + -0.117. Let g = -0.1 + 0.1. What is the nearest to 0.5 in -5, j, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -5 - (9 - (19 + 18))) + -2\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29657 or -29662?\nAnswer: -29662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 106 and 105046?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -7. Suppose f*j = 12 + 2. Calculate the highest common factor of 7 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 6:44 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 796?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5502 - -15549. What are the prime factors of j?\nAnswer: 3, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 647 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*m - 62*m + 7854 = 22*m. What is the remainder when 1077 is divided by m?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and -812829.\nAnswer: -812829.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -52*z - 102. Give c(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 134919630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 25*a**4\/4 + 220*a**3 - 654*a**2 + 416*a - 76 = 0.\nAnswer: -38, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-5\/2)\/j*j*j)\/j**0)\/(((j*j\/(j*j*j*j**(-7)*j*j))\/j*j)\/(j*j**(3\/4))))**(-2) assuming j is positive.\nAnswer: j**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = i + 3, -24 + 5 = -3*i - 2*o. Let u(d) = d**3 + 6*d**2 + d + 3. Let r be u(-6). What is the remainder when i is divided by 1\/2 + r\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 41322 or 41234?\nAnswer: 41322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 230406433*r. Let z(g) = -2*g. Determine c(z(s)).\nAnswer: -460812866*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1429.57914 - -0.12086. Let t = 1429.730878 - f. Let g = -0.031 + t. What is g rounded to five dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 28352256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*z - 28 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqpcettev. What is prob of sequence pt?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 207*c**2 - 206*c**2 + 19*c - 1 - 23*c. Give k(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*x + 84*x = 20*x - 131*x. Solve x = -2*l - 6 + 8, 5*u - 2*l = 13 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 - 12 = 3*l. Let u be (-1)\/(-2)*176\/(-8). Let r = u + 23. What is the lowest common multiple of r and l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -208, -491, -952, -1681, -2768?\n\"Answer: -15*n**3 + n**2 - 181*n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by -46\nAnswer: -15\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 775*v**3 + 16598*v - 28042107 wrt v?\nAnswer: 2325*v**2 + 16598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1434214 + -3?\nAnswer: 1434211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mtmpptptmmptmp. What is prob of sequence tmtp?\nAnswer: 25\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 w, and 1 x when three letters picked without replacement from bjkkxpkjkbkkwpbkkpj.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 2 + -1*sqrt(200))*-2)**2 - (4 + (sqrt(200) + sqrt(200)*1 + sqrt(200))*4*-2)**2.\nAnswer: -114272 + 1440*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 583 - 580. Let c(q) = -4*q**3 - 2*q**2 + 3*q + 3. Let i(p) = -7*p**3 - 3*p**2 + 5*p + 5. Give o*i(f) - 5*c(f).\nAnswer: -f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 g when two letters picked without replacement from aaaggga?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 812, 1571, 2264, 2891, 3452?\n\"Answer: -33*r**2 + 858*r - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 10*x**2 + 2*x + 11. Let s be f(-5). Let d = s + -90. Let z = -119 + 225. What is the remainder when z is divided by d?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -1, 5172884 in ascending order.\nAnswer: -1, 3, 5, 5172884","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12655310.\nAnswer: 2, 5, 17, 29, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*(3*((sqrt(1539) + -2 - sqrt(1539)) + sqrt(1539)) + sqrt(1539) + -3 + (1*sqrt(1539) + -3 + sqrt(1539) - (4 + -1*sqrt(1539))))**2.\nAnswer: -75670 + 2016*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2*u = -22, 0 = 3*b - 5*u + 17 + 20. Let x = -5 - b. Suppose x*z = 4*a - 47 + 19, -3*z = 12. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k - 2. Let c be n(-6). Let s be 3\/(-6) + (-15)\/(-2). Let a be (s\/3)\/((-4)\/(-12)). Solve -3*h + a*h = c for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 + 26 - 29 + t to the form q + w*t and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -24*s**2 + 50*s + 16. Let a(u) = 5*u**2 - 10*u - 3. Let f(w) = 16*a(w) + 3*x(w). What is the second derivative of f(t) wrt t?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*c + 79*c - 25*c - 14*c.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 84\/42*(3\/(-6) + -3 + 4). Solve -13 = -3*c + 2*u + m, 0 = 5*c - u - 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59 - 43. Suppose 2 = -2*m - 4, 5*s - a = 2*m. What is the third derivative of 8*c**5 + 166*c**2 - 148*c**s + 27*c**5 wrt c?\nAnswer: 2100*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 936, 5, -4 in increasing order.\nAnswer: -4, 5, 936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/3)\/(2\/(-2)). Suppose 4*b = f + 2*b - 8, 0 = 3*f + 3*b - 6. Let u be 57\/11 - f - 1. What is the closest to i in u, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2125 - 1024. What is the remainder when o is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wtet when four letters picked without replacement from {w: 3, t: 4, e: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*v + 18 = 0, 0*c = -3*c - 4*v + 18. Solve -c*r = -3*r - 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00282419 to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 e when two letters picked without replacement from {g: 9, w: 2, e: 2}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5551 (base 7) in base 14?\nAnswer: a28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 3*o = 2*c - 12, -5*o = -2*c + 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 835136 is divided by 3150?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -229*x - 961. Give k(3).\nAnswer: -1648","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 100 + -48. What is p rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(170) - 2*sqrt(170)) + sqrt(170)*2*6)\/(sqrt(360) + (sqrt(90)*-5 - sqrt(10))).\nAnswer: -11*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 22 = -5*o, 3*o - 17 + 3 = -b for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1820*y + 1609 = -2025*y - 31 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*n**3 - 5265325*n**2 + 5265325*n**2 + n**3 + 8*n**3 - 4*n**3.\nAnswer: 19*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -11042\/75 equal to -146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -582*r**2 - 33*r. Let x(j) = -194*j**2 - 11*j. Let q(s) = -11*x(s) + 4*z(s). Let n be q(5). What are the prime factors of n\/30*(-8)\/6?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*((-54)\/6)\/522?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/12 and (6\/10)\/((-16)\/10)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 4) in base 2?\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10647 + 14926. What is the remainder when q is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 150, 237, 332?\nAnswer: 435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + (-25 + 24 - 12).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*f - f + 3*f + 1047 - 1747 - 645*f**3 wrt f?\nAnswer: -1935*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-24)\/(-10))\/(3\/110). Let m be 18\/(-12)*(-4)\/6. Let k = m - -7. What is the highest common factor of t and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 - 2*k - 10)*(-5*k - 18 + 18) as h*k + m + f*k**2 and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3024) + sqrt(3024)*-1)\/(-4*sqrt(6)\/sqrt(2)) + 5 + 4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q - 2. Let s = 8 + -27. Let n(w) = w**3 + 18*w**2 - 20*w + 2. Let f be n(s). Let z = 22 - f. What is c(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 408980165 is divided by 861?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9192368 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1014.14205348 + 10.\nAnswer: 1024.14205348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1912544 to the power of 1\/3, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 6*b - 21. Solve 0 = b*k - 2*p + 1, 3*p - 2*p = -5*k - 19 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 - 2)*(52*j**4 - 2*j**3 - 57*j**4 - 21*j**4).\nAnswer: 156*j**4 + 12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y**2 + y - 3. Suppose 0 = v - 5*x + 1 - 0, 3*x = v - 1. Calculate the remainder when g(-2) is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 585*i**3 - 1181*i**3 + 590*i**3.\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 6*b**2 - 12. Let j(l) = 5*l**2 - 11. Let o(w) = 4*g(w) - 5*j(w). What is the units digit of o(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2 + 20*z + 52. Let n be b(12). Calculate the remainder when 56 is divided by 19*(-4 - (-1 - n)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.27, -2\/7, -2 in ascending order.\nAnswer: -2, -2\/7, 1.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -10 + 12 + -5 + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3800795?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24\/77 + 398\/1771. Which is the third smallest value? (a) -1\/7 (b) 0.4 (c) g (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181506935.\nAnswer: 5, 197, 184271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 6*d - 3. Let g = 14 + -19. Let z be r(g). Let q = 17 + z. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 922*q - 926*q. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 158140 and 9740?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + -1 - (-3 + 1). Suppose -24 = -4*l + 4*t, -3 = -4*l - c*l - 3*t. Let -h**l + 5*h**3 - h - 3*h**3 = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, i: 6, b: 5}. What is prob of picking 1 u and 3 i?\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/(-27) + 6\/27. Which is the third smallest value? (a) -1\/5 (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/29)*q*q*q*q**(-3\/10)*q*q*q assuming q is positive.\nAnswer: q**(1673\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251*b + 1 = s + 250*b, -3*s = -b - 13 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**4\/5 - 29856*m**3\/5 + 298899*m**2\/5 + 388452*m\/5 - 657492\/5 = 0. Calculate m.\nAnswer: -9962, -2, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppzpzz. Give prob of picking 1 z and 2 p.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(84)*1 - sqrt(84))\/(5*sqrt(48)\/sqrt(4)).\nAnswer: -3*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i. Suppose -4*d - d - q = -20, -2*q + 13 = d. Suppose 0 = m - 5*f - 6, -m - d*m + f = -24. Let u(w) = 6*w - w - m*w. Determine u(n(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, -24, 41, 108?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*2\/(-10) - 12\/(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.6 + 259.6. Let u = r - 149. Let c = u - 96.7. What is c rounded to zero decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*((21 - 8) + -14). Solve 3*k + 5 = g*x, -3*x = -4*k - 2*x - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 382930.9 nanoseconds?\nAnswer: 382.9309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 1738*q + 13919. Let o be w(-8). Solve 15*c + 16 = 4*j + 11*c, -3*j + o = -4*c for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmeemmmemeeme. Give prob of picking 2 m.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1450440, 2900873, 4351304, 5801733?\nAnswer: 7252160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-6)*(-2 + 2). Let d(u) = u**2. Let l be d(c). Suppose -3*i + 24 = 3*h, l*i + 32 = 3*i - 5*h. Solve 3*n + 3*a = i, -2*n - 2*n - 3 = -a for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-74*245\/145040)\/(-1*1\/(-248))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-244)\/6)\/(12\/18). Let o = l - -104. Let f(j) = j**3 + j**2 - j + 23. What is the remainder when o is divided by f(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6007, -7, -1, 3, 13 in decreasing order.\nAnswer: 6007, 13, 3, 2, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 772624191?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 581? (a) -2365 (b) 1\/4 (c) -1\/7 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -9*z**2 - 46*z. Let m be a(-5). Let o be (-4)\/6*-3 + 46. Suppose -m*i + 12 + o = 0. Solve 4*d + d + 13 = -2*y, i = 4*d - 4*y for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**2 + j. Let u(p) = 11490*p**2 + 2*p + 24. Let s(k) = 8*c(k) + u(k). Let l be s(8). Round l to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 6*h - 4*h)*(2*h + 3*h - 6*h) + 34*h**2 - 18*h**2 - 6*h**2.\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3426136 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/10 - (-8751)\/15 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 198\/41 - 17593\/4059. Find the common denominator of 19\/110 and a.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 79*h - 703. What is the least common multiple of 801 and n(47)?\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o + 2*k + 6, -3*k - 9 = -19*o + 17*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 727861907?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(3\/10)*a**(-1)*a*(a**(-2\/7)*a)**(-10)*((a**(-2\/5))**35)**(-1\/54) assuming a is positive.\nAnswer: a**(-12443\/1890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*k + 4*w - 2, 0 = -4*w - 4. Let m be 115\/92 + (-4957)\/1864. Let s = 8\/233 + m. Which is smaller: s or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 13*u**3 - 171*u**2 - 709*u - 10. Determine g(-4).\nAnswer: -742","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2 - 3 + 5 - 2*x. Let y(k) be the third derivative of -k**4\/24 - 3*k**2. Calculate g(y(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from znnnzoofnoznn. What is prob of sequence nof?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56960, -113920, -170878, -227834, -284788, -341740?\nAnswer: -398690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 133, 134, 135, 136, 137, 138?\n\"Answer: s + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 c when two letters picked without replacement from {h: 2, c: 1, s: 2, b: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 19, -1, -3959, 24, -5, 5 in descending order.\nAnswer: 24, 19, 5, -1, -4, -5, -3959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*h + 5 = 31*h + 5*q, 10 = -2*h - q for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002688 rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41764 - 85*l**2 + 41764 - 557*l**5 wrt l.\nAnswer: -33420*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 12:47 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 65 = -4*u, -2*u - 11 = -3*l + 24. Is l a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7*2\/(-7))\/((-6)\/(-21))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11110 + -1?\nAnswer: -11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c*h**2*v**3 + c*h*v + 6837*c*v**3 - c + 2*h**2*v**2 + 29*h**2 + 5*h*v**2 wrt v?\nAnswer: 12*c*h**2 + 41022*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21556 - 10482. What is the hundreds digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -445 and -1.0677.\nAnswer: -446.0677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p**3 + 5*p**3 + 824*p - 7*p**3.\nAnswer: 4*p**3 + 824*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -5, 5, 0, 2\/13, 3430?\nAnswer: 3430","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2ce (base 16) to base 15\nAnswer: -32d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -255*u**2 - 26*u - 129. Let x(f) = f**2 + 4*f + 7. Let o(d) = p(d) + 6*x(d). Find the second derivative of o(q) wrt q.\nAnswer: -498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5980000 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 11\/104626921?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 - 9 - 3 = -t - 3*f, 5 = -f for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1713330 and 5200.\nAnswer: 890931600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3713993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**5 - 553*s**4 - 47102*s**3 + 3560220*s**2 - 70009272*s + 437516640 = 0. What is s?\nAnswer: -121, 18, 620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 580056 divided by 3?\nAnswer: 193352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -0 + 16. Let c be v\/(8\/2) - -2. What is the second derivative of c*r + r**5 + 0*r - 3*r wrt r?\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - -167968936.423.\nAnswer: 167968934.423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2156 and 3?\nAnswer: 0.6468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**3\/y**(-1))\/(y**(-2\/3)*y*y\/y**(-5)))\/((y*y\/((y**1*y*y)\/y)*y)**(2\/21)*y\/(y\/y**3)*y*y*y**3\/y) assuming y is positive.\nAnswer: y**(-66\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**2 - 3852146620*s**3 + 0*s**2 + 3852146592*s**3.\nAnswer: -28*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 684767\/6 + -108730. Let y = o + -5383. Let z = -3736 + 37267\/10. Calculate the common denominator of z and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 16) to base 14\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 12 = 2*o. Let b be -14*(-2)\/(16\/12). Let w = b + o. What is the remainder when 49 is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 9:57 AM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 1 = -2. Let q(g) = 0 + 0 - 10*g. What is the tens digit of q(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25? (a) 1\/17 (b) -3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 15 = 5*j, 7*d = 3*d. List the prime factors of (42\/9 - j)\/((-2)\/(-1110)).\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.163 * 2.\nAnswer: -0.326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -4, 0.07, 14, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 9907\nAnswer: -1981.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/7 or -1?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 11970?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-13\/5))**(-29))**(1\/3) assuming u is positive.\nAnswer: u**(377\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86974*m - 4338*m + 3 - 4 - 1 + 2*m**2 - 1.\nAnswer: 2*m**2 - 91312*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(1\/6))\/(s\/(s\/(s*s*s**(1\/2)))) assuming s is positive.\nAnswer: s**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -36*z**2 + 19*z**2 + 20*z**2. Let k(g) = -5*g + 7. Determine k(j(r)).\nAnswer: -15*r**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, k: 1, o: 3, n: 3, g: 2, i: 1}. What is prob of sequence iong?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001014040 (base 5) to base 10.\nAnswer: -1969895","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 q when four letters picked without replacement from qgiiigiirqirqqqriir?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6025 - -349427\/58. What is the common denominator of -24 and j?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {h: 2, r: 1, x: 1, f: 9, v: 7}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-7)\/i)\/i**(-6) assuming i is positive.\nAnswer: i**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33303027623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 3 = 2*h. Suppose 3*j - 197 = -4*f, 0 = 5*f - h*j + j - 232. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o. Let n(p) = 6*p + 4. Let k(x) = -5*x - 3. Let s(h) = 4*k(h) + 3*n(h). Calculate j(s(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 6:45 PM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**4 + 31*c**3 + 186*c**2 - 216*c = 0. Calculate c.\nAnswer: -6, 0, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(0 - 2 - (-4 + 4)). Solve w*r + 0*r + 15 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 941 and 1837\/69 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 8 = 0, r - 219 = -4*h + 413. Let g = h + -162. Let f = -1 + 1. Sort 4, g, -2, f in decreasing order.\nAnswer: 4, f, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iivviiiivi. What is prob of picking 1 i and 2 v?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*g = s - 94, -4*s + 210 = 3*g. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p. Let z(k) = -7*k**2 + 4*k + 4. Let g(o) = 14*o**2 - 7*o - 7. Let l(f) = 4*g(f) + 7*z(f). Calculate l(u(n)).\nAnswer: 28*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -0*p + 15. Let l = -4 - p. Let g = -0.06 - 1.94. Which is the third smallest value? (a) l (b) g (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 - 2*p**3 + 5*p**3)*(120*p**2 + 797*p - 797*p).\nAnswer: 480*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbebebbeeeeb. Give prob of picking 4 b.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -27*t + 2*q + 435, -109*t + 108*t = -q - 19 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2 + 5*c - 4. Let m be 2\/(-11) + 138\/33. Suppose l = -l + m. Suppose l*b = -9 + 1. Calculate h(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 + z - 7. Let u be s(-3). Suppose 5*g + 11 = 1. Let f = u + g. Is f a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -329, -310, -281, -242?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4379700 divided by -291980\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*r**3 - 115 wrt r.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34677 - 34645. Solve -19 = z*q + 13 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 5*u**2 - 6*u + 6. Suppose 2*s + n - 5 - 2 = 0, -5*s + 45 = -3*n. What is z(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.85 + -6.85528. Round t to 4 dps.\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -k**4\/4 + 4*k**3\/3 - 3*k**2\/2 + 2. Let l be q(2). Let m(c) = 13 - l*c**2 - 13. Let d(o) = 3*o**2. Give m(d(t)).\nAnswer: -18*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240*p**2 - 790*p**2 - 1522*p**2.\nAnswer: -2072*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7.7+-3\nAnswer: 4.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1689395 rounded to 2 decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1400) - sqrt(1400))\/(sqrt(32)*1))**2 + -3.\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -5, 1\/8, 56, -2, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n + 20. Calculate the remainder when 88 is divided by z(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9\/4 (b) 482 (c) -5 (d) 328\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 85351, 170783, 256307, 341923?\n\"Answer: 46*k**2 + 85294*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in sixty-eight thirds of a day?\nAnswer: 544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 + 37.56. Round w to one decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 - -1)*44\/(-461032). Let r = 57665\/94302 - g. Calculate the common denominator of 79\/10 and r.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -8. Let n be w\/(-10)*66\/6. Factor -n*a**2 - 17\/5*a**4 - 1\/5 - 8\/5*a - 28\/5*a**3 - 4\/5*a**5.\nAnswer: -(a + 1)**4*(4*a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 0.2 (c) -7.0572\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5328 and 37212624.\nAnswer: 1376867088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4 + 2 + (((-2*sqrt(126))\/sqrt(7))\/sqrt(6)*3*3)**2 + -4.\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -872 - -4609. Suppose -16*k - h = -457. Is k != -204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/29, 0.3, -2\/17 in descending order.\nAnswer: 0.3, -2\/29, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 605194847 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 142 and 497.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-2*sqrt(252) - sqrt(252)*2*4.\nAnswer: 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 107*a**2 + 2364*a - 223. Calculate l(31).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 7\/(-1) + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 670, 664, 650, 622, 574, 500?\n\"Answer: -o**3 + 2*o**2 - 5*o + 674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65646951.\nAnswer: 3, 421, 51977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(252) - sqrt(252)) + -4.\nAnswer: -24*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.4979 - 0.4979. Sort -1.4, b, 9\/4.\nAnswer: -1.4, b, 9\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-6 - 7\/(-7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -1112?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-15) + (-6)\/45. Suppose -10 = -5*f - n*f. What is the second derivative of h - h**2 + 0*h - 4*h**f wrt h?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 0)*(2*o - 3*o + 0*o)*(66*o**3 - 2*o - 81*o**3 - o).\nAnswer: -30*o**4 - 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -5*y**3 + 17*y + 63. Let q be t(-5). Calculate the greatest common divisor of 9 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -414, -1684, -3778, -6696, -10438?\n\"Answer: -412*v**2 - 34*v + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -974c78 (base 14) to base 16.\nAnswer: -4e2aca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2728 plus 4907135?\nAnswer: 4904407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4120 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*x**4 - 11*x**4 + 38*x**4 + (-2 + 1 + 12)*(-5*x**4 + x**4 + x**4) in the form h*x**3 + r*x**2 + z*x + n*x**4 + v and give n.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -14, 1\/6, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9533?\nAnswer: 9533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - g. Let j = -5 + 4. Let k be t(j). What is the second derivative of 0*w**4 - k*w + w**4 + 0*w wrt w?\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 310570935?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4260 and 295164750?\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 148513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*z - 2902 = 1931*z + 560 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2. Let u(f) be the first derivative of -f**5\/20 + 3*f**2 - 3. Let r(s) be the second derivative of u(s). Determine c(r(x)).\nAnswer: 9*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 5*k - 10 = 0, n - 5*k - 4 = 6. Let u(f) = f**2 + 128. Calculate the remainder when u(n) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -r**4\/78 + 1172*r**3\/39 - 343396*r**2\/13 + 1585*r. Determine p, given that d(p) = 0.\nAnswer: 586","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -5) + -4 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mimiiiiiliiimii. Give prob of picking 3 m and 1 i.\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(180))*-3*2)**2.\nAnswer: 864*sqrt(5) + 6624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -123 - -102 - (-19 + -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 10 - 0. Let j(h) = 5*h**2 - 4*h + 2. Let c be j(b). List the prime factors of (-2)\/(-4) + c\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1569 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -p**2 + 2013230*p - 16864334.\nAnswer: -2*p + 2013230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 56*v - 22. Let b be z(2). Solve -b = 235*h - 250*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-27)\/(-18)*656\/6. Suppose -4*y + 0*y = -c. Suppose 44 + y = 5*o. What is the remainder when 50 is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 7 = -1. Let m be -23 + (60\/t)\/(-5). Is -24 greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.37 + 6.17. Which is the closest to -1\/2? (a) -0.2 (b) g (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of w**3 - 4 + w - 1\/4*w**4 - w**2. Suppose 0 = 5*p - 5 - 0. Give j(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 3:17 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 11. Let m = l + 7. Let a(c) = c**3 - 4*c**2 + 2*c + 4. Calculate a(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 9:20 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 + 29. Let y = f - -5.84. Round y to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 836.8922 days to nanoseconds.\nAnswer: 72307486080000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1754193 + 3?\nAnswer: 1754196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -1 - (-14 + 14)) + 6 + 12?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 192064.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 775.7973 millimeters?\nAnswer: 775797300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of w**5 - 5*w**3\/3 - 55. What is f in c(f) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3529636307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -4*c**5\/9 + 3220*c**4 + 319316*c**3\/9 - 125756*c**2\/3 - 319312*c\/9 + 116096\/3 = 0.\nAnswer: -12, -1, 1, 7256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -40?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + h + 60. Suppose -9*r + 207 = 153. Let m(u) = 3*u**2 + 3*u + 120. Let v(i) = r*m(i) - 13*b(i). Factor v(d).\nAnswer: 5*(d - 3)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-6)*546*(-4)\/32 - (-693)\/63.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/19)\/(d*(d**(-1)*d)\/d))\/(d*d**(-2))**5)\/(d*d*d**(-6\/11)*d**(-3\/5)*d*d*d*d*d\/d**(-6)*d**(2\/17)) assuming d is positive.\nAnswer: d**(-125731\/17765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -g**4\/2 - 8*g**3\/3 - 4*g**2 + 26. Factor u(o).\nAnswer: -2*o*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**8)**(-42) assuming l is positive.\nAnswer: l**(-378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2390478.\nAnswer: 2, 3, 239, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/5)\/1)\/((18\/(-1660))\/(353\/706)).\nAnswer: -83\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1920*j - 13 + 387 = 1903*j. Put j, -5, -2\/9, 0.2, -4\/19 in descending order.\nAnswer: 0.2, -4\/19, -2\/9, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 821, 763, 711, 665, 625?\nAnswer: 591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1729522?\nAnswer: 2, 271, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 604 is divided by 23?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/100 of a minute?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 25*b**2 + 9*b - 22. Let j be a(3). Factor -14*f - 9*f - f**3 - 11 + j*f**2 - 243*f**2.\nAnswer: -(f + 1)**2*(f + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/5950 and 113\/850?\nAnswer: 5950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 762*q - 763*q + 5*z = -60, 0 = -4*q + 2*z + 168. Solve -39*n - q*n = -86*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) - (sqrt(1700)*-1 + -2))*5*4)**2*4 + 5.\nAnswer: 128000*sqrt(17) + 10886405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 399 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - k + 3979 = 0, -50*k = -q - 48*k + 3973. Calculate the highest common factor of q and 205.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 54, 160, 348, 618, 970, 1404?\n\"Answer: 41*f**2 - 17*f + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*a - 57*a + 32*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 + -43. Let l(r) = 5*r**2 - 3*r - 4. Let a(m) = -9*m**2 + 6*m + 7. Calculate h*l(o) - 4*a(o).\nAnswer: o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-5 - -6) - (-4 - -21).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 17955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w + 3. Let a be l(-3). Let n(f) = 2*f - 2. Let r be n(4). Suppose -3*m = -r*m + a. Solve -2*c = -0*c - x - 2, -m*c = x - 10 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 491979*p**3 - 1653473*p**3 + 0.\nAnswer: -1161494*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*h - 198. Suppose -j + 59 = 5*k - h, 4*k + 4*j = 84. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4647089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 - -40.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) - sqrt(150)\/sqrt(3))*1)**2 + sqrt(4)\/(sqrt(4)\/sqrt(2)) + 0.\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k + 3. Let h(c) = -c - 1. Let f(i) = -2*h(i) + y(i). Let s be f(-6). Let j = s - -3. Calculate the highest common factor of 1 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 10*v**2 - 8*v + 7. Calculate the remainder when i(9) is divided by 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 not equal to 21\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 5*d**2 + 21*d - 90. Determine s(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 9, f: 11}. Give prob of sequence hffh.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**2 - 79*m - 413. Let g be b(-5). Suppose -5*v = -126 - 154. Which is bigger: g or v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -18841*f - 282636. Calculate k(-15).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 6*h + 3*f + 30, -5*f = -3*h + 10. Put 5, -1, 2, h in increasing order.\nAnswer: h, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.131 - -1.741. Let f = -1.65 + b. What is the smallest value in -5, f, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 107\/2 + -54. Let d be (2\/(-8))\/(9\/8). What is the biggest value in f, d, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.0002 + 0.0002. Which is the third smallest value? (a) h (b) -2 (c) 2\/13 (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l + 180 = 7*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 247305292 to the nearest integer?\nAnswer: 15726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -5 + 2 + ((sqrt(132) + (sqrt(132) - 1*sqrt(132)) - sqrt(132))\/sqrt(4))\/sqrt(11))**2 + 4)*-2.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0 - 5) + 2 + 10 + 10.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4667*m + 4621*m = -598 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g = -3*g + 291792. Is g\/(-2) - (-70)\/(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 2*p - p)*(266*p + 123*p + 358*p).\nAnswer: -747*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.7 + -8. Let u = -28 - -31. Which is the third smallest value? (a) u (b) -4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10, -64, 2\/9, 498, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 67?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 542363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 8*z**2 + 32*z - 161. Give p(4).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 8*n**3 - 8*n - 17. What is o(-2)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, y: 3, p: 4, z: 3, r: 3}. Give prob of sequence yp.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 2 (c) -0.4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -30978 (b) -1\/5 (c) -0.85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3830.0001211 + 3830. What is r rounded to five decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 65101.638 to the nearest 10.\nAnswer: 65100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (924\/33)\/84*9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, -8, -1\/80?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-7) - 4\/14. Let z = 0.42 + -0.22. What is the closest to h in 1\/3, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 561 is divided by 91.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 783, 1365, 1995, 2673, 3399, 4173, 4995?\n\"Answer: 24*l**2 + 510*l + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 - 1 + 1 + (286*w + 249*w - 185*w)*(-w - 1 + 2 + 1))*(w**3 - 6*w**3 + w**3).\nAnswer: 1404*w**5 - 2800*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 630143 + 4?\nAnswer: 630147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u. Let v(i) = -93*i + 21. Let y(h) = 2*h - 7. Let j(l) = v(l) + 4*y(l). Determine m(j(q)).\nAnswer: 170*q + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 361213342 to the nearest integer?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 3 = -4*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -5*h**3\/6 + h**2 + 8*h. What is the derivative of y(s) wrt s?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -3)*(4 - 10)\/3. Let g(b) = 5*b**2 - 2*b + 7. Let q(u) = u**2 - u + 1. Suppose 2 - 3 = -l. Calculate l*g(m) + o*q(m).\nAnswer: m**2 + 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnyyundnyyunn. What is prob of picking 3 y and 1 n?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324991 is divided by 236.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 6*q + 6. Let b be v(4). Let m(l) = l**3 - 23*l**2 + 50*l + 14. Let t be m(17). List the prime factors of t\/(-25) - b\/10.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - 0.11. Let s(u) = 4*u**3 - 29*u**2 + 42*u - 249. Let p be s(7). Which is the nearest to 0? (a) -1 (b) o (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 161*a**2 + 488*a + 35. Calculate p(164).\nAnswer: -621","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -47*s. Let g(m) = -48*m + 1. Let f(b) = 5*g(b) - 6*r(b). Let o(n) = n. Calculate f(o(z)).\nAnswer: 42*z + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2675413062 to the power of 1\/5, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 110210 (base 3) to base 16\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7658.894 milligrams?\nAnswer: 7658894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.09 + 5.09. Which is smaller: 0.2 or z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 5*a**2 + 3*a - 10. Let j be s(5). Let f be (-2 - -2)*(-1)\/(-2). Let t(q) = q**2 + q**2 + f - 5. Let b(d) = -1. Determine j*b(n) - t(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 < -138.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85863 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/14*-2)\/((-6)\/(-24))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1)*q*q)\/(q**(2\/9)\/q)*q**24*q**16*q)**(-2\/47) assuming q is positive.\nAnswer: q**(-770\/423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**2. Let w(q) = q**3 - 4*q**2 + 3*q + 3. Let c be w(3). Let n(u) be the first derivative of 2*u**3 + 0*u**3 + 2 - u**c. What is z(n(a))?\nAnswer: -18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 10:10 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41510?\nAnswer: 2, 5, 7, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*w + 5*j = 35, 4*w + j - 79 = 0. Let r be 17\/5 + (-8)\/w. Find the third derivative of r*f**2 + f**6 + f**2 + 5*f**6 + f**6 wrt f.\nAnswer: 840*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -277055, -277969, -278869, -279749, -280603?\n\"Answer: c**3 + c**2 - 924*c - 276133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00035799 to six decimal places.\nAnswer: 0.000358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (4929*g - 2778 + 2778)*(-2*g + 3*g + 6*g) in the form z*g + o*g**2 + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 7) in base 15?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -209\/7453?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5*n\/n**2)**(-27\/5) assuming n is positive.\nAnswer: n**(-108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -206921 or 29.17?\nAnswer: 29.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -441*u**2 - 341*u**2 + 454*u**2. Let r(i) = -2*i**2. What is o(r(j))?\nAnswer: -1312*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*t, 0 = 16*w - 7*w - 6*w + 9*t + 63 for w.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*r**2 + 0*r**2 + r**2 + 2*r**4 + (3 + 0 - 5)*(4*r**4 - 6*r**4 + r**4) to the form z*r**4 + d*r**3 + y*r + p + q*r**2 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 669*t - 8017. Calculate the least common multiple of l(12) and 5381.\nAnswer: 59191","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 7:49 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*b**2*t**5 + 71*b**2*t**4 - 2*b**2*t + 10*b**2 + t wrt t.\nAnswer: 80*b**2*t**3 + 852*b**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 221 + 4230304?\nAnswer: 4231030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(2\/3))\/(w\/w**(-19)))\/(w\/(w**(2\/17)\/w))**(-2\/33))**(1\/43) assuming w is positive.\nAnswer: w**(-10969\/24123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 129*c**2 + 21*c - 23. What are the prime factors of d(3)?\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 6311*t**2 + 4 + 6301*t**2.\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 11*b + 10 - 20*b + 11*b. Let k(q) = -1. Let l = -37 - -57. Give l*k(i) + 2*x(i).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a microgram in nanograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/4)\/g)**(28\/3)\/((g\/g**(-15))\/(g**24\/g)) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - ((-1)\/2)\/((-4)\/(-24)). Solve 0 = 3*q + 2*t - 9, 0*t = w*t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 84*a**4 - 248*a**3 + 240*a**2 - 72*a - 4 = 0.\nAnswer: -1\/21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*t = -46*t + 3*d - 5122, 0 = -5*t - 5*d + 5120. Calculate the highest common factor of 697 and t.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55809243, 111618474, 167427705, 223236936, 279046167, 334855398?\nAnswer: 390664629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24798*h**2 + 12041*h**2 + 12282*h**2.\nAnswer: -475*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.46, -138, 4, 3\/26 in ascending order.\nAnswer: -138, -1, 3\/26, 0.46, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, 3290, -4, 1\/4, 74, 3?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - 8. Suppose -6*c + c + 40 = 0. Calculate the remainder when a is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 359*g*i*w**2 + 4*i*w**2 + 12*i*w wrt g?\nAnswer: 359*i*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14050, -56204, -126460, -224818?\n\"Answer: -14051*f**2 - f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-2*3\/(-6)). Solve d*a - z - 4*z = 10, 4*z - 18 = -2*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -172\/9. Let i = -41401 - -41404. Which is the nearest to 2? (a) -1 (b) t (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 9.14. Let r = 0.327883 + -0.187804. Let m = r - f. Round m to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**19*g)\/g**3*(g**(-11)\/g)**46 assuming g is positive.\nAnswer: g**(-535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 6. Suppose -y*n + 221 = 51. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1929 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -728262*h**4 + 9*h**3 + 23922*h**2 + 1265*h.\nAnswer: -17478288*h + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2*7\/((-56)\/60)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 13*m**2 - 2 + 16*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -t**3\/6 - 2*t**2 - 6*t. Let y be k(-6). Suppose 9*g - 4*g = 70. Calculate the greatest common divisor of y and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1308 - -439?\nAnswer: 1747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.96 or 12\/5?\nAnswer: -2.96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a micrometer in nanometers?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12332941 + -7528859. Let g be (1\/(-1) + 3334083)*-1. Let k = g + w. What is k rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, b: 6, o: 4, q: 2, j: 3, a: 2}. Give prob of sequence ja.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 4*x = 40. Calculate the remainder when (-2)\/(-6) + 112\/6 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22016 = 6*r - 64228. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1346)\/(-16))\/((-3)\/(-42)). Let p = a - 51973\/44. Calculate the common denominator of -47\/5 and p.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*2*(4 + sqrt(120)\/sqrt(150)).\nAnswer: 16*sqrt(5)\/5 + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 8*c**3 - 4*c - 2. Let t = 5 + -2. Let w = -70 - -66. Let x(h) = 7*h**3 - 3*h - 1. Let d(f) = t*o(f) + w*x(f). Differentiate d(s) with respect to s.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + j - 23 = 2*j, 4*s = j + 18. Suppose -s*o = -q - 28, -4 - 3 = -2*o - q. Solve 0 = p + o*h + 24, 4*h = -3*p - 0*h - 28 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -8*r**3 - 3*r**2 + 3*r. Let v(g) be the first derivative of -g**2\/2 + 9*g + 47. Let d be v(8). Let p(n) = n**3 + n**2 - n. Calculate d*i(b) + 3*p(b).\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u**2 - 17*u - 140. Let x be f(-5). Solve -21*n + 1 + x = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 786 + 5. List the prime factors of g.\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 12*y**3 - 8*y**2 - 37*y + 196. Let c be a(8). What is the greatest common factor of 12 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327064190?\nAnswer: 2, 5, 17, 113171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three tenths of a century?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -74 - -62. Sort -1\/2, -0.4, 3, u in descending order.\nAnswer: 3, -0.4, -1\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/1904017 and -55\/102.\nAnswer: 11424102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -49, -10, 55, 158, 311?\n\"Answer: 2*x**3 + x**2 + 22*x - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 2:31 PM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 2:50 PM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6217723?\nAnswer: 1777, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1823880259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmr when three letters picked without replacement from mmrrdrnrdmerrnne.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 659*p**2 - 211*p + 208350?\nAnswer: 1318*p - 211","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/3 + 301*n**2 + 1208*n + 3628\/3.\nAnswer: -(n - 907)*(n + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-10))\/(1\/5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 1, 0, 4 in decreasing order.\nAnswer: 18, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/6)\/((-16 + 4)\/(-24)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -657, -1119, -1581, -2043, -2505?\n\"Answer: -462*c - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 6 = 2*r - r, 3*r = -2*q + 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 987?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 403999093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70226*25.\nAnswer: 1755650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h + 9. Let s be v(5). Suppose -3*r - 3*z = -18, 6 = -s*z - 2. Suppose -d - 4 = -4*d + 2*y, 4*y + r = 5*d. Solve d - 2 = 2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millisecond in microseconds?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 34*d. Let h(t) = -t - 1. Let p(q) = 2*q**2 - 5*q - 5. Let u(w) = -5*h(w) + p(w). Calculate u(v(x)).\nAnswer: 2312*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -657 (b) -0.54 (c) 1 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3497025 is divided by 53793?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -2 + 0*k**2 + 1\/3*k**3 - 1\/6*k**6 + 0*k + 0*k**4 + 0*k**5. Find the third derivative of s(b) wrt b.\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -0*l + 2*k + 970, -4*k - 253 = -l. Let g = l + -53. List the prime factors of g\/16 - (-6)\/(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/7)\/((-4)\/4)*6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4728899 by 41.\nAnswer: -115339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 413.1 (b) 0.3 (c) -0.032 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24372)\/3660*(-20)\/418. Let f = -1\/2318 + r. Find the common denominator of f and 43\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1059094.\nAnswer: 2, 529547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -197 (b) -9 (c) 3\/7 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1296?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6882 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2058393.\nAnswer: 3, 686131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3589*w + 78 = -3602*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1000000001110 (base 2) to base 9\nAnswer: 5566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -1476*w**2. Let d(s) = -15*s**2. Give t(d(c)).\nAnswer: -332100*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y + 43*y + 56 = 0. Sort 5, y, -5, -4, 127.\nAnswer: -5, -4, y, 5, 127","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5636141 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.056 + -0.05. Round f to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 - -10.5. Let w = i + -10. Let m be ((-24)\/15)\/4 + 0. Which is the closest to w? (a) 5 (b) -0.5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2979.\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304315435?\nAnswer: 5, 60863087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor f - 30*f**2 - 27*f**2 + 3*f**3 + f**4 + 60*f**2.\nAnswer: f*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-2))\/(6 + 570\/(-96)). Let h be 1 + -1 - (k + -19). What is the greatest common divisor of h and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 4544884?\nAnswer: 4544883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*x + x + x)*(-4 + 5 + 1) + 13*x - 7*x + x)*(0*x**2 + 3*x**2 - 2*x**2).\nAnswer: 11*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 245153 - 119634717\/488. Calculate the common denominator of -19\/732 and v.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 13) to base 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a + 14. What is the remainder when 130 is divided by f(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, t: 13}. What is prob of picking 2 u?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 458 - 91. Suppose 3*v - p = 386. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h - 3 + 3)*(421*h**2 - 1200*h**2 + 502*h**2) to the form b*h**2 + u*h + o*h**3 + v and give o.\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**3 + 1906191*p**2 + 1906200*p - 3812388 = 0. What is p?\nAnswer: -2, 1, 635398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t - 126 + 126.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 23465318.07 rounded to the nearest one hundred thousand?\nAnswer: 23500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4823329\/28494 + -3047\/18. Which is bigger: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -13) + 1 + 6 + (10 - 5).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23)\/(65527\/(-22)))\/(18\/210*5).\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 115823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, l: 6}. Give prob of picking 3 l and 1 r.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*14\/(-6) + -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*s - 7 = 0. Suppose 14 = -4*g - x, -5*g - x = -5*x + s. Let b be (-2)\/(g - 28\/(-12)). Solve -b*d + 15 = 0, -25 = 4*a - 4*d + 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/1335 and 23\/2670.\nAnswer: 2670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1862*s - 929*s - 938*s - 554*s**3 - 1564*s**3.\nAnswer: -2118*s**3 - 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 - 3*r**3 - r**3 + 2*r**4 + (-24 + 24 + 6*r**2)*(-r**2 - 1 + 1).\nAnswer: -4*r**4 - 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -5\/12*k**4 - 4*k - 1\/2*k**3 - 3\/2*k**2 - 1\/20*k**5 + 0. List the prime factors of x(-6).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*n - 3*v - 66, 22*n - 15*n - 44*v + 126 = -48*v for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z**2 - 2*z**2 + z**2)*(0 + 0 - z**2 + (369 - 369 + 5*z**2)*(-2 + 3 + 0)) as u*z**3 + r*z**2 + p*z**4 + c + m*z and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j**2 - 6*j**2 - 5*j**2)*((4 + 3 - 5)*(3 - 2*j - 3) - 4 + 4 - 2*j - 2*j - 4*j + 5*j + 4 - 4 + j) as d*j + h*j**3 + x*j**2 + f and give h.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53124862 is divided by 41246?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6198630*c**5 + 954868*c?\nAnswer: -123972600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/20 - 303*117\/181305. Which is bigger: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.16 - -0.16. Let m(k) = k**3 + k**2 + 3*k + 2. Let r be m(-1). What is the biggest value in y, -5, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32304 (base 6) in base 10?\nAnswer: 4432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*k**3 - 5185*k**2 - 12320*k - 4100.\nAnswer: -5*(k + 2)*(k + 205)*(5*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154122, -154120, -154118, -154116, -154114?\nAnswer: -154112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21410647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -306.9465 + 307.3. Round r to 2 dps.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -326*i = -332*i. Solve i = -3*c + 70 - 82 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 53549178839 and -0.04.\nAnswer: 53549178838.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/15 (b) -4 (c) 1 (d) 5 (e) 17 (f) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -57096*j. Let o(d) = -6*d. Determine o(u(w)).\nAnswer: 342576*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/350 and 43\/75.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*l**4 + 30*l**3 - 55*l**2 + 30*l = 0. Calculate l.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17725 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**6\/40 + 17*z**5\/20 + 30*z**2. Find i such that y(i) = 0.\nAnswer: 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 124*t**2 - 837*t - 1779. Determine p(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*a + 239 = -146 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1012, -1224, -1398, -1534?\nAnswer: -1632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 13) in base 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j. Let t(a) = 15123*a. What is t(b(o))?\nAnswer: 30246*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 173, 169, 163, 155?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 54444980327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/304 and 4284\/(-255)*10\/4?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 41 - (0 - -1) - 3. Let s = 130 + w. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7221, 7104, 6987, 6870?\nAnswer: 6753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2805228 by -233769.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m - 199 + 119 = 0 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14301 is divided by 367?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2059*t + 1717. Calculate w(-2).\nAnswer: -2401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1145893.\nAnswer: 7, 313, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 91862.226 rounded to the nearest 100?\nAnswer: 91900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 + 5*l**2 + l**2)*(-3134*l - 2 - 3139*l + 6*l**2 + 6270*l).\nAnswer: 12*l**4 - 6*l**3 - 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 19*f**2 - 5*f - 85. Let s be q(-19). Suppose s*n = 46*n. Solve -2*z - 12 + 8 = n for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -280\/13 (b) -0.1 (c) 6 (d) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 1 + 4 + 167*y + 594*y in the form v*y + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-153 - -7) + (1850 - 1789).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - (-4 - -2)) + -12 + 13. Solve -u*r + 0 = 4*b - 3, 0 = 2*r + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3 - 2 = 3*r, r - 4*k + 9 = 0. Let c be (0 - r)\/(2 - 1). Let g = c - 1. Are 1\/3 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 12*u - 2. Let h(s) = 3*s - 4*s + 0*s. Let t(q) = 9*q + 50. Let f be t(0). Suppose 35 = -5*m + 3*r - 27, -5*r = -3*m - f. Give m*h(i) - x(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404 is divided by 71?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/2, -2\/11, -2\/39, 4, 0, -0.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (43*z**3 + 22*z**3 - 5*z**3)*(-458*z - 454*z + 914*z - 107) to h + u*z**2 + r*z**4 + v*z**3 + j*z and give r.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2301\/2 - 1120. Find the common denominator of h and -75\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.9 + -1. Let c be (-3*122\/4)\/(-3). Let a = c + -31. What is the nearest to n in -1, a, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/6)\/((-324)\/54). What is the second smallest value in 1.7, 2, k, 4?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128 + -187 + (-4 - -10) + -13 + -7.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19579419 to the power of 1\/2, to the nearest integer?\nAnswer: 4425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -1. Let i(f) = f - 2. Let y be i(3). What is the closest to y in c, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1508256 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (340\/40)\/((-2)\/(-8)) is divided by 27.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124601*j - 124601*j + 786*j**2.\nAnswer: 786*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**9\/504 - 3*r**5\/20 + 5*r**2 - 8*r. Let q(f) be the first derivative of k(f). Find the third derivative of q(d) wrt d.\nAnswer: 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/11)\/(d\/d**22*d))\/(d*(d**(-2\/5)*d)\/d*d)**6)**(4\/5) assuming d is positive.\nAnswer: d**(2328\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 255593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 6.9. Let v = 2.5 + -2. Is v > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*d + 2*d, 5*r - 3*d = 6. Suppose -21 = -5*i - 5*k + 19, 5*i - 4*k - 13 = r. Suppose -3*m = -15, 2*l - i*l + 2 = -2*m. Solve -6 = -b + l*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -29, -1\/3, 11.3, -1, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 140.767472 rounded to two decimal places?\nAnswer: 140.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36865 - 257573\/7. Let x = n - 69. Let w = -7.4 + 7. What is the biggest value in x, -5, w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4 - 14*m**3 - 28*m**2 - 16*m.\nAnswer: -2*m*(m + 1)*(m + 2)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q + 30. Let a be g(-6). Let c(z) = 4*z**2 - z**2 - 8*z - 15 - 2*z**2. Is c(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49663\/14 - -3549. Calculate the common denominator of ((-6)\/80)\/(7\/(-756)) and l.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 388 + -387.6. What is the smallest value in -2\/257, m, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11847 - 189633\/16. What is the common denominator of f and (-4)\/54 - 196\/(-1512)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 85*s = -115110. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-5 + (-1)\/(-1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19.2? (a) 0 (b) 1138 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26298 is divided by 547?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2527 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 11) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 + 0.2. Let u be -1 - -1*(9 - 6). Which is the nearest to u? (a) 2 (b) 1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-6))\/(2\/(-8)). Let d(i) = 4 + 6*i - 4*i**2 + 3*i**j + 0*i. Let t be d(5). Solve -t = -2*c - 1, 3*c = -4*u + 8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 3*g**2 + 2*g**2 - 4*g**2 + 74*g**3.\nAnswer: 74*g**3 + g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/1152 and -25\/4608.\nAnswer: 4608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 0.2, -16 in decreasing order.\nAnswer: 1, 0.2, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 327930784 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wm when two letters picked without replacement from {i: 3, m: 1, s: 4, w: 10}.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, i: 5, k: 5}. What is prob of picking 3 i?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**4 + 2*h**3 + h**2 + h + 1. Let a(p) = 35*p**4 - 12*p**3 - 6*p**2 - 6*p + 386. Let z(s) = a(s) + 6*g(s). What is the derivative of z(n) wrt n?\nAnswer: 164*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**4 + h**3 + h**2 - 1. Let k(w) = -11*w**4 + 4*w**3 + 21*w**2 + 17. Let d(b) = -k(b) + 4*z(b). Differentiate d(i) with respect to i.\nAnswer: 12*i**3 - 34*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179 = 6*x - 481. Suppose -9*m - x = -31*m. Calculate the least common multiple of m and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (228\/(-18))\/((-4)\/(-18)). Let v = d - -85. Let x = 47 - v. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 728 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -5 - 1, -3*t - 2*c + 17493 = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11891509?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (-2 + 13 + -7 + -1). Sort 697, n, -5 in descending order.\nAnswer: 697, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*o - 3*o + 87 = 0, 2*o + 30 = 2*y. Calculate the remainder when 29 is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/(-21) - 3\/9*-49. Suppose 5*y + 18 = l, -5*y - s = 2*l + 7. Let h(w) = -w**3 - 4*w**2 - 1. Determine h(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(2 - 3) - 7. Let g(n) = -13*n - 8 - 4 - 4*n**2 + 1. Let y be 11\/2*(6 + -4). Let f(x) = -2*x**2 - 7*x - 6. Give d*g(s) + y*f(s).\nAnswer: 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 2*m + 4*m)*(2*m**4 - 5*m**4 + m**4) + 4*m**3 + 4*m**5 - 2*m**5 - m**5 - 2*m.\nAnswer: -m**5 + 4*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12017*v**2 + 2337*v**2 - 1219*v**2.\nAnswer: 13135*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2378 is divided by 733.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = t - 5. Let q = 7 - t. Is (3\/6)\/(q\/(-382)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -418 + 6933*s - 414 - 419 + 1251 in the form f + z*s and give z.\nAnswer: 6933","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 164 or -3\/3970?\nAnswer: 164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-21)\/d)\/d**(-5\/6))\/((d**3\/d*d)\/d*d**(2\/7)\/d) assuming d is positive.\nAnswer: d**(-943\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24666?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 5 = 8*n. Let l = 3 - 3.2. What is the smallest value in -0.3, l, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 56371, 112794, 169217, 225640, 282063?\n\"Answer: 56423*a - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve -10907*z + 557*z - 291069 = 738731 - 56900 for z.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 538632027?\nAnswer: 3, 59848003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 606.802 days in hours?\nAnswer: 14563.248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(8*h**2 + 5*h**2 + 26*h**2)*(-h + 2*h + 2*h)*(2*h + 0 + 0).\nAnswer: 234*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -1\/10*c**5 - 1\/120*c**6 + 0*c**4 + 0*c + 0 + 0*c**3 + 39*c**2. What is l(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.545 to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (1*-1)\/(3\/(-6)) and 17.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -357*a**5\/20 - 3*a**4\/4 + 7*a**3\/6 + 395*a. What is the third derivative of c(o) wrt o?\nAnswer: -2142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 3. Factor 52*n**3 + p*n - 13*n - 22*n**2 - 13*n**2 - 72*n**3 + 5.\nAnswer: -5*(n + 1)**2*(4*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/8*v + 1\/8*v**4 + 1\/8*v**3 - 1\/8*v**2 + 0.\nAnswer: v*(v - 1)*(v + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(11) + (0 + sqrt(11) + 1)**2)*1 + (4*(sqrt(176) + 1))**2*3)*1.\nAnswer: 396*sqrt(11) + 8544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g + 10 = -18*g. Solve -2*r + 1 - g = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 340532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1ac61d60 - 5?\nAnswer: 1ac61d5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3 - 3 = 0. Let z = 7 - 9. Which is smaller: g or z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7505 divided by -4?\nAnswer: 7505\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -12*q - 51. Let n = 178 - 185. Let m be h(n). Calculate the greatest common divisor of 55 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54 + -51. Suppose -2 = -g, j*g + 41 = 4*q - 429. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46800 divided by 7.\nAnswer: -46800\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -109 - -63. Let u = j - -50. What is the third biggest value in u, -5, 0.05?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 11) to base 10.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.044 - 8.0509.\nAnswer: -8.0069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 6*v**2 - 3*v + 3. Let t be (5\/2)\/(13\/(-26)). Calculate the remainder when g(t) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 13) to base 12.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -107 - -75.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/(-7)*(-33)\/44?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - -21. Suppose -3*q - 8 = -n. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 479247193 to the power of 1\/3, to the nearest integer?\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53 by 7074.\nAnswer: 53\/7074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 1:44 PM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19817 = 108*h - 101*h. Suppose 4*z - 2393 - h = 0. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -21*x + 20*x. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -3\/2, 2.71?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 991145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 13\/(-1*(-1 - 0)). Let p = b + -7. Solve -3 + 11 = 4*g + 4*a, 3*g - a - p = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**4 + 2*o**4 - o**4 + (-3*o**2 + 15 - 15)*(-2*o**2 + 5*o**2 - 5*o**2) + 2*o**4 + 0*o**3 + 0*o**3 - 3*o**4 + o**4 + o**4 - 2*o**2 + o**4 + 2*o**2.\nAnswer: 10*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 490234930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -805*f*i**3*y + 22*f*i**3 - 2*f*i**2*y + f*i**2 - 8*f - 88*i**2 + i*y wrt i.\nAnswer: -4830*f*y + 132*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)*-2 + sqrt(288) - sqrt(6)\/(4*sqrt(300) + sqrt(3)))**2.\nAnswer: 13778\/1681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12091 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuujujjvvvjvjuvusvj. Give prob of picking 1 s, 1 j, and 2 v.\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -70, -94, -136, -202, -298, -430, -604?\nAnswer: -826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27791 - 448206 = -5217*i - 32314 + 31064 for i.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -1)*(8 + -6). Solve -w*k - 6 = 3*p, 0 = k - 0*k - 5*p - 23 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 32.30999ml?\nAnswer: 0.03230999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 4*p + 208. Suppose 0 = 11*w - 434 - 138. Factor -16 - 8*j**3 + w*j**2 - p*j - 92*j**2 - 4*j**2.\nAnswer: -4*(j + 1)*(j + 4)*(2*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0.4, -3\/8, -1.2, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28982 = -22*u + 24*u - 4*b, 5*u - 3*b = 72490. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6}. Give prob of picking 3 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-3150)*20*25.\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 7*s + 4. Let r(f) = -37*f - 21. Let t(i) = 11*q(i) + 2*r(i). Let d(h) = h + 1. Determine -6*d(z) + 3*t(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from mdmmdqmdddmmmmdmddm.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2 + 25*l - 50. Let t be k(10). Suppose t = 9*c - 13*c. Is -11\/21 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**3 - 2*t**2 + 5. Let p be r(-3). Let g = p - -102. List the prime factors of g.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-12)*9\/45*50\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2646509918 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17030202 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1012, -1014, -1016, -1018, -1020, -1022?\n\"Answer: -2*g - 1010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -86 - 24. Is h*(-3)\/(-2 - -8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - r - 43 + 30*r**2 + 16 + 14 + 2*r**4 to the form b*r**3 + x + k*r + v*r**2 + m*r**4 and give v.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 46*y**2 + 20819*y - 8611. Calculate v(-453).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19744189?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2. Suppose k = -2*k - 24. Let d(u) = -9*u**2 + 8*u - 8. Let n(c) = 6*c**2 - 5*c + 5. Let x(t) = k*n(t) - 5*d(t). Calculate v(x(i)).\nAnswer: -18*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000168 to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = c - 4*r, -2*r - 7 = -8*c + 3*c. Let t(f) = 3*f**2 + 15. Let n(b) = 1. Give c*t(h) - 15*n(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 91 + -105.4. Let i = 14.2474 + y. What is i rounded to two decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + -1 + 8 - 1. Suppose -28*b = -36*b - 24. Sort 3, b, d in increasing order.\nAnswer: b, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 34, -3, 3, 27, -5 in descending order.\nAnswer: 34, 27, 5, 3, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 374 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011001 (base 2) to base 15.\nAnswer: a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -38822981 and -28511.\nAnswer: -38851492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*a + 0 - 7 + 7.\nAnswer: 27*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 130.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -59 in -2044, -0.3, 2.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4256\/(-22344)*18\/8.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5702898.\nAnswer: 2, 3, 950483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*a + l + 750 = 0, -3*l = -23*a - 92 - 1058 for a.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-2704)\/(-240) - (-8)\/(-12))\/((-2)\/(-40)) is divided by 129?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*m + 2*i - 32, 2*m + 4*i = -4. Let l be (-2 - m)\/(-1 + -2). Let t = 69.1 + -68.1. Sort l, t, -14.\nAnswer: -14, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12179013 and 132132.\nAnswer: 2541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32338987 divided by 137?\nAnswer: 236051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 6*b + 5. Let c be g(-5). Let a = 5 - c. Suppose 0 = -n - 3*n + 20. Calculate the greatest common factor of n and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27528 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.4 - 0.6. Let w = n - -2. Let g = 6 + -8. Which is the second smallest value? (a) -0.1 (b) w (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36053 and 358949.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42680407 by -8273.\nAnswer: 5159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 3*j + 29, 2*y + 2*j - 19 = -3*y. Suppose -5*s + 13 + 12 = 0, 4*o - 3*s = y. Suppose -o*l + 13 = -22. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 44 - -17) + 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 3:16 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127, 133, 143, 157, 175, 197, 223?\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 3\/5, 5\/8, 2\/9?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (100 - s - 100)*(13 - 6 - 8).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m + 21*m = -8*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -270 + 116. Let x = 2994264.41 - 2994418.4099899. Let r = x - d. Round r to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n. Let c(j) = 125 - 2*j + 122 + 0*j - 372 + 117. Give 3*a(h) + c(h).\nAnswer: h - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 43*w**2 + 115*w - 668. Does 26 divide p(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dxd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/3, 0.2, 2, -0.07?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2040 + 51334?\nAnswer: 53404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3121?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (17 + -14 - -25) + 1 + -9 + 17\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q + 31. Give c(20).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -358, -1234, -2688, -4714, -7306, -10458, -14164?\n\"Answer: x**3 - 295*x**2 + 2*x - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-4 + 0 + 3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -22441022?\nAnswer: -22441013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 f when two letters picked without replacement from efeefffffef.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -35, -29, -35, -59, -107, -185, -299, -455?\n\"Answer: -q**3 + 13*q - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30\/7 in 2257, 1\/4, 1\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 3*x + 13. Calculate the remainder when 116 is divided by c(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 v when four letters picked without replacement from zzfikikzfzpfvp?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1104 (base 8) in base 15?\nAnswer: 28a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48648 = 3*v + 4*t, 6*t - 11575 = -v + 4655. Is 21 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 8947, -3, 7\/3.\nAnswer: -5, -3, 7\/3, 8947","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of 0*x + 0*x**3 + 0*x**4 - 1\/12*x**5 + 0 - 2*x**2. Let g(k) = -k**2. Determine g(i(t)).\nAnswer: -25*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v - 5. Let c(u) = u**2 + 1. Let y(q) = 6*q**2 + 7. Let h be (-43)\/(-3) - 1\/3. Let b(d) = h*c(d) - 2*y(d). Calculate o(b(s)).\nAnswer: 8*s**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {a: 2, z: 6}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64830 and 41382.\nAnswer: 447132510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**0)**18*(p*((p\/(p\/p**(1\/2)))\/p)\/p)**(-1\/20))\/((p\/p**2)**(9\/8)*p*p**(-3)*p**(-1\/3)) assuming p is positive.\nAnswer: p**(209\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 110*a**2. Let c(t) = -6*t**2 + 7*t**2 + 0*t**2. Let p(o) = 88*c(o) - f(o). Let z(g) = -16*g**2 + 44*g**2 - 16*g**2 - 15*g**2. What is z(p(q))?\nAnswer: -1452*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 1:34 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11986 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f - 7. Let g be q(3). Which is the third smallest value? (a) 9 (b) -2\/13 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 4 + 4, -c = 5*z - 12. Suppose -2*d + 111 = -z*m - 127, 2*m + 5*d + 203 = 0. What are the prime factors of -3 - (-14)\/6 - m\/9?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by 1320.\nAnswer: 17\/1320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqsjoexqxejj. Give prob of picking 1 x and 1 s.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 4, 0, 278\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 82819.68l?\nAnswer: 82819680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 63)*(-2 - a + 2) + 2*a - 5*a + 4*a + (-2 + 4 + 2)*(0*a + a - 2*a) + 0 - 3*a + 0.\nAnswer: -68*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -11*h**2 + 6*h. Let p(d) = -9*d**2 + 5*d. Let c(g) = -6*p(g) + 5*y(g). Let k(f) = -43*f. What is c(k(j))?\nAnswer: -1849*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1605e1 + 26?\nAnswer: -1605ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 6*k**2 + 4*k + 12. Let v be f(4). Let u be 147 - (v + 3 + 3). Let b = 96 - 38. Calculate the highest common factor of u and b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -338*o**2\/9 - 260*o\/3 - 50 = 0. What is o?\nAnswer: -15\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 1:30 AM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -t + 2*f + 27, 0 = -t + f + 13. Let n be (-1)\/2 + (-22)\/(-4) + -3. Solve n*z + t = -0*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40886532 divided by -4293\nAnswer: -9524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2767 - 2019*n + 2767.\nAnswer: -2019*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/42 and 151\/98652.\nAnswer: 690564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24673312*v**4 + 352*v**2 - 12*v + 77?\nAnswer: -592159488*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -8*f**3 - 121*f**2 - 1097*f - 16231. What is p(-15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -400228700 to the nearest 100000.\nAnswer: -400200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 6*j + 7. Let m be u(5). Find the common denominator of (132\/(-40))\/((-3)\/11) and ((-9)\/(-432))\/(m\/(-87)) + 1.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -0 - 14. Suppose -2*y - 20 = -c*y. Calculate the highest common factor of y and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.63003 micrometers in centimeters?\nAnswer: 0.004363003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 - -41. Suppose 3*h - j = 27. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 3. Let p = -20.99856 - k. What is p rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 5*f**6\/2 + 206*f**5 - 345*f**4\/4 + 3046. Solve j(z) = 0.\nAnswer: -69, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4 + sqrt(288) - (5 + (sqrt(288) - (0 + sqrt(288)))))**2.\nAnswer: -120*sqrt(2) + 313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.4639922 + -1.4654. Round v to 4 dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**2 + 2. Let d(n) = 4*n**2 - 3. Let q = -1 + 4. Suppose -2*s + 1 = -s. Let c = 1 + s. What is c*d(i) + q*a(i)?\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/4)\/c**(-5\/6))\/(c**(2\/3))**17 assuming c is positive.\nAnswer: c**(-43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (-1)\/((-9)\/63). Solve -b*f + 16*f = -32 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, 0, -3, -889 in decreasing order.\nAnswer: 0, -3, -51, -889","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59100 by -197.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22149999?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -249203105 minus 0.11?\nAnswer: -249203105.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 5*j, 2*r = 3*r + 3*j. Find the common denominator of -21\/4 and r + 0 - (-17)\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112957 and 6032?\nAnswer: 52412048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/33*((-14)\/(-4) - -2). Factor q - k - 1\/3*k**2.\nAnswer: -(k - 1)*(k + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d - 5*q + 841666, 2*d - 400844 = 4*q - 120266. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 246*o + 237*o - 1.\nAnswer: 483*o - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 2 (c) -5 (d) -2 (e) -664\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58.87 + 61. Let v = q + -2.23. What is the biggest value in v, -1, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 8*f + 3. Suppose -5*y - f - 6 = -5*l, -3*l = -y - 10. Let o be 14\/(-56) + 253\/l. Calculate the greatest common factor of o and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -52 (b) -2 (c) 2\/13 (d) 4 (e) 37\/5 (f) -0.4 (g) 82\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2002251 to the nearest integer?\nAnswer: 1415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 3*u**2 - 3*u - 1. Give z(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -3*r - 2*z, r + 4*z - 16 = -0*r. What is the remainder when 222 is divided by r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5290096km in centimeters?\nAnswer: 52900.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 4, -1, 3.\nAnswer: -1, 0, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(1377) + sqrt(1377) + 1)*5 + (0 + sqrt(1377) + 0)**2 + 1.\nAnswer: 90*sqrt(17) + 1408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -48 + 7 + 9?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -u**5\/50 - u**4\/40 - 15. Solve y(n) = 0 for n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(4\/(-12))\/((-2)\/6). Let j(x) = 19*x**2 - 5*x + 6. Let k be j(q). Let n = -80 + 120. What is the highest common divisor of n and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, y: 2, l: 1, d: 2}. Give prob of sequence lyy.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*u + 24*u + 636030 = 0. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2330027035?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18961? (a) 0 (b) -0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 7*u**2 + 4. Let j be l(-7). Suppose j*w - 2*b = w - 10, -4 = 4*w - 5*b. Let c(k) = k + 7. What is c(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1743 divided by -249\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - n - 21, -4 - 18 = -5*s - 3*n. Let o be (-17 + s)*(0 + 4\/(-36)). Find f such that -4\/3*f + o - 1\/3*f**4 + 4\/3*f**3 - f**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1572 divided by -6\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 250387.3ug?\nAnswer: 0.0000002503873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bapp when four letters picked without replacement from {b: 1, a: 3, e: 1, p: 2}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**3 + 42*h**2 + 34*h + 1713. Give o(-22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 110114, 110129, 110154, 110189?\n\"Answer: 5*u**2 + 110109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/3900 and -97\/150?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 1124 = -3709. Let n be (-16 - -16)*(-1 + 1 - 1). Suppose 3*t - z + 121 = n. Is t a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*j = -j - 58, 2*j + 42 = -5*q. Let y = -7 - q. Suppose 11 = 3*t - g, -y*t - 4*g + 6 = -10. Does 4 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 23917, -4\/7, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*h - 1164 + 1094 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v**5\/10 - v**4\/2 - 41*v**3\/2 - 107*v**2\/2 + 102*v\/5 + 54 = 0. Calculate v.\nAnswer: -10, -3, -1, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 4 + 2)*(-o - o + o) + 48*o + 79*o - 71*o)*(2 - 5 + 2).\nAnswer: -55*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 3*j - 1008. Is 56 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**8\/g)\/g)\/(g*g*g**(-11\/2)*g*g))\/(g**(-1))**36)**(14\/5) assuming g is positive.\nAnswer: g**(609\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.23 times -10\nAnswer: -2.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(-2 - 0) - 0. Suppose -m*g = -2*g - 28. Let u be (-38)\/(-6) + g\/(-21). Solve 0 = 4*t - 2 + u for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 11*q**2 + q - 6. Let s be n(11). Suppose -5*z + 2*z + 4*h + 49 = 0, 0 = -s*z - h + 97. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -32*w + 77. Let x be i(2). Solve 0 = -k + 16 - x for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -2*l**6\/15 - l**5\/5 + l**4\/3 + 2*l**3\/3 - 4*l + 4. Let v(r) be the first derivative of z(r). Factor v(f).\nAnswer: -4*f*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d**3 + d + 11 - 2*d - 7 + 0*d**3 - 4*d. Let x(g) = g**3 + g - 1. What is m(w) + 5*x(w)?\nAnswer: w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rjppmmddrdwpwmdpmdmr. What is prob of picking 1 j, 1 w, and 1 m?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -q**6 + 8*q**5\/5 + 91*q**4\/6 - 8*q**3\/3 - 12*q**2 + 4*q - 10. Let x(a) = 0. What is a?\nAnswer: -2, -1\/3, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 8)*16\/48 - 7. Let z be p\/18 - (-11580)\/(-135). Let r = -54 - z. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4264191, -4264193, -4264195?\nAnswer: -4264197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v - 1. Let u(f) = 5*f - 8. Suppose 1 + 13 = -4*r + 2*i, 3*r - i = -11. Calculate r*m(s) + u(s).\nAnswer: s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (0 - -4) + (-12 - (18 + -32)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 5:55 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 + 6*a**3 + 16*a**3 + 3*a**2.\nAnswer: 22*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 250326268204 - -0.13.\nAnswer: 250326268204.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18770 - 17364. What is the remainder when z is divided by 64?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1161 is divided by 292.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15432*b**6*o + b**2*o - b**2 + 7*o - 17 wrt b.\nAnswer: 1851840*b**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - h. Let n(i) = -75*i**3 + 675*i**2 - 675*i. Calculate 4*n(f) - 2700*x(f).\nAnswer: -300*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, n: 1, g: 1, v: 9}. What is prob of picking 1 s and 1 g?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - -0.0201.\nAnswer: -0.1799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 6021?\nAnswer: 5\/6021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11797 + 11797.0004719. What is f rounded to five decimal places?\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 10, -0.1, -54?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 1227, 5, 1.8 in increasing order.\nAnswer: 2\/7, 1.8, 5, 1227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -14 (b) -23 (c) 8\/3 (d) -2 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61129577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 7 + 5)*(q**5 + 2*q**5 + q**5).\nAnswer: 44*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 5*u**2 - 4*u - 6. Let d be l(6). Solve d = m - 3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide (-1)\/(((-34)\/(-102))\/(-368 - 1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - 3*r - 4, -5*q = 5*r + 4 + 16 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 0 + (-3 - (-3 + 2 - 5))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 12:23 PM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2\/103, 0.3, 0.1, -2, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*-1*3\/(27\/2). Let s = -28.66 - -29. Let u = s - -0.06. Which is the nearest to -1? (a) u (b) -5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, a: 3, z: 5, k: 1, r: 3}. What is prob of picking 1 r, 2 b, and 1 k?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -18 - (54 + -39) - -49\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 15) to base 14.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -307*y + 5532. Give z(18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*v**2 + 17*v**2 - 630*v**2 - 78*v**2 + 115*v**2.\nAnswer: -462*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -87, -122, -161, -204, -251?\nAnswer: -302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74300 by 14860.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -3 - 4)*(6\/12 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -321*o**3 - 143*o**3 - 139*o**3 + 183*o wrt o.\nAnswer: -3618*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4041 (base 6) to base 13\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16554809 to the power of 1\/2, to the nearest integer?\nAnswer: 4069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 8*r**3 + 11*r**2 - 4*r - 14. Let q(d) = 3*d**3 + 4*d**2 - d - 5. Give 11*q(o) - 4*s(o).\nAnswer: o**3 + 5*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5205\/4 - -1301. Which is the nearest to 0.2? (a) w (b) -6 (c) -2 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/104)\/((-20)\/(-65)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2674, -5344, -8000, -10636, -13246, -15824, -18364?\nAnswer: -20860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.2 - -3. Let o = 685 - 349.5. Let m = 336 - o. Which is the closest to 0.1? (a) m (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 12. Let n = q + -5.4. Let f = 0.4 + n. Which is smaller: 4\/3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.02, -98, 0, -0.1.\nAnswer: -98, -0.1, 0, 0.02, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-75)\/(-5)*(-7)\/(105\/10)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42654621 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -t**7\/1260 - 11*t**4\/12 - 12*t. Let l(m) be the third derivative of x(m). Let c(y) = -8*y. Determine c(l(h)).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 d when two letters picked without replacement from rdrdararrardaad.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/4, 340\/9, -3, 4\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3966 = 19*u + 30*u - 32735. Calculate the remainder when u is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 575304*p**5 - 1432391*p - 2 wrt p.\nAnswer: 11506080*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is 55910340587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -22, 30534, -0.1, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*2*(-12)\/(-8). Suppose x*d + 3 = -p, 3*p - 2*d = 3*d + 61. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**3*l**4 - 9*h**3*l**3 + 2*h**3 - 2*h**2*l**2 + 2*h*l**4 - 44*h*l wrt l?\nAnswer: 48*h**3*l - 54*h**3 + 48*h*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 a when three letters picked without replacement from {n: 2, w: 1, d: 5, a: 2, m: 8, t: 2}?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1512)\/324)\/(2\/(-3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ax when two letters picked without replacement from {a: 2, x: 5, b: 4}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 296 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, -5, -14 in decreasing order.\nAnswer: 38, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 120?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -731*r - 29955. Calculate a(-41).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**3 + 47*i**2 + 73*i + 174. What is n(25)?\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -h**2\/2 + 1. Let t be (-1)\/((-2)\/8*2). Let u(b) = 2 + 2*b**t - 2. Calculate w(u(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - 0. Let h = 1 - -10. Let s = -13 + h. Sort s, -1\/5, d in decreasing order.\nAnswer: -1\/5, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10092 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 27.53 times 2\nAnswer: 55.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -44*c. Let o(w) = 4*w - 11. Calculate j(o(k)).\nAnswer: -176*k + 484","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11\/4493 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -12*v**2 - 81*v + 3080. Calculate o(13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 c when three letters picked without replacement from {c: 2, j: 2, w: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - h - 1. Let f(x) = 8*x**3 + 4*x + 1. Let b(o) = f(o) + k(o). What is the second derivative of b(y) wrt y?\nAnswer: 42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q = -14*q + 2*f + 39, -9 = 5*q + 2*f for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 9. Suppose c + 13 = 4*u + 4*z, -4*u + z = -18. Solve -u*r = 3*q + 26, -12 = 3*q - 5*q + 4*r for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120210012 + -11?\nAnswer: -120210100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 4) to base 8.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2006422 (base 8) to base 10\nAnswer: 527634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-1 + 4 - (4 - (-15 + 18)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-198)\/(-135)*(-2680)\/4422.\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 9:59 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*d - 12 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25 - -21343?\nAnswer: 21412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-114)\/(-15))\/((-3)\/30*2). Let t = 43 + o. Let f be (-18)\/12*(-4)\/2. Solve 3*k = t*y + 25, f*k - 19 = y - 2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oebx when four letters picked without replacement from xocibiebbxicx.\nAnswer: 3\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -5177 at least as big as -2127665\/411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -17*m**3 + 2*m**2 - 2*m + 2. Let f(k) = 1767*k**3 - 209*k**2 + 209*k - 209. Determine 418*a(g) + 4*f(g).\nAnswer: -38*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -90116 divided by 447?\nAnswer: -90116\/447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 u when three letters picked without replacement from gguguuggygu.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15a1 - -52065?\nAnswer: 53646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 9, -18*v = -14*v + 6*b - 22. Suppose 3*r = 8*r + 4*o - 270, 2*o = -r + 54. Calculate the remainder when r is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 4*r**2 + 18*r + 3. What is q(-5)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*i + 81 - 566 - 283 = 0 for i.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/98)\/(4\/(-14)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -13*m**2 - 12589*m + 1090326. Give c(80).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2141 - -2140.83248. Let z = -0.168 - m. Round z to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26374290 to the power of 1\/2, to the nearest integer?\nAnswer: 5136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13052 - 3?\nAnswer: 13045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 821966.3 centuries to millennia.\nAnswer: 82196.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4*k - 20 = 0, -4*k - 16 + 9 = n. Let t be ((-7)\/2)\/(3\/18). Let z = 6 - t. What is the highest common divisor of n and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c + 9 + 17*c**4 + 2*c**3 + 14 - 21 in the form w*c + i*c**4 + p*c**3 + y*c**2 + k and give i.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2. Let o(u) = u. Let m(l) = -6*l. Suppose 58 = 3*f + 2*y, 2*f + 5*y - 46 = -f. Suppose 2*a - 16 = -f. Let k(q) = a*o(q) - m(q). What is h(k(z))?\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l - 2. Let c be k(5). Let a = c + -8. Suppose a = -2*w - 0*w + 50. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + 43. List the prime factors of z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 7*t**2 + 7. Let y be w(-7). Suppose -2*g - f + 4 = -3*f, 0 = -4*f + 20. Let q(o) = o + 1 - o**2 + g - y. Give q(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 134590.2ml in litres?\nAnswer: 134.5902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -64*h**3*q**2 + 28*h**3*q - 78*h**2*q**2 - 2*h*q**2 + 8*h - 7*q + 2 wrt q.\nAnswer: -128*h**3 - 156*h**2 - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3498 + -3240. Which is the smallest value? (a) 3\/7 (b) 5 (c) 4 (d) h (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k - 17*k = -5*j + 1861980, -4*k - 5*j = 3724020. What is k rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*g - 59*g = -180 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from dzppznnd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/3 - 7071610*a\/3 + 12501916998025\/3.\nAnswer: (a - 3535805)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**5 + 310*f**4 + 4480*f**3 - 10240*f**2 = 0.\nAnswer: -32, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162078 is divided by 573.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(((15\/6)\/(-5))\/1). Suppose 5*b - 3 + o = 0. Put b, -9, 0 in descending order.\nAnswer: 0, b, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1180\/(-144) - (-32 + 24))*(-3)\/34 and 8\/1275.\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/(-24))\/((-40)\/(-16))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.832 plus -201?\nAnswer: -201.832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 23696 - 4234. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 271 - 264. Suppose -g + b*v + 305 = 9*v, -919 = -3*g - 4*v. Is g a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2370\/(-1264))\/((-27)\/(-180))?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*f = -12. Let 18*g - 6*g**2 - 1 - 8*g**2 - f = 0. What is g?\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2244422 - 36?\nAnswer: -2244461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 124 = -2*k + 6*k, 29 = k + y. Let f be 8\/1 - (-6)\/(-3). Suppose -k = o - f*o - 4*v, o - 4*v = -18. Solve -i + 1 = -o*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2442, -10005, -22646, -40365, -63162?\nAnswer: -91037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4 = -0*c. Suppose -2*k + 10 = -c*i, i + 2*i - 4*k = -15. Let b(d) = -d + 3. Let m be b(4). Is m less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71592704 to the power of 1\/3, to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.034121969 to 5 dps.\nAnswer: 0.03412","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/16 of a week?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = -161 - 231. Is ((-259)\/t*4)\/(1\/2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 119 and 20927.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 142 + -107. What is the remainder when 173 is divided by u?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 15*x - 2603. Does 3 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/3, -2\/19, -3\/62, -0.2, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a millisecond in microseconds?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 61, 69, 79, 91?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341 is divided by 56.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*g + 1 - g)*(1332 - 2342 + 1706).\nAnswer: 696*g - 1392","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 179 - 177 = 0. Let j be (6\/(-15)*c)\/(2\/(-5)). Solve -j - 2\/3*y**2 + 8\/3*y = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5*t + 12 = 0, 5 = -4*r + 2*t - 5*t. Let x = r - -8. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 0.998, 5?\nAnswer: 0.998","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x - 18 - 6 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + x + 1. Let h(i) = -7*i**2 + 6*i + 1. Let y(n) = -h(n) + 6*u(n). Let r be y(0). Let p = r + 4. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-298)\/3427)\/((-28)\/92)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -5. Calculate the least common multiple of 8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 161 (c) -211 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -j + 1683, 51*y + 840 = 52*y + j. List the prime factors of y.\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 11 - 23 = 0. Let k = j - -2. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/3 - (-166)\/3. Let s be (2 - 142)*(-5 + 2)\/3. Calculate the highest common divisor of s and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 189*m + 636*m**2 - 29*m + 627*m**2 - 1265*m**2 in the form y*m**2 + f*m + w and give f.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3140921.4699947 - 3140883.47. Let u = 38 - l. What is u rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*a - 42*a + 1155 for a.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 9*l**2 - 12*l - 16. Let t be u(-10). Let r(d) = 6*d - 15. Calculate the remainder when 43 is divided by r(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1585507?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/9 + 388*p\/9 + 391\/3.\nAnswer: -(p - 391)*(p + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 11:55 PM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 30*s - 2. Let x(m) = 4*m**2 - 151*m - 7. Let d(y) = 7*o(y) - 2*x(y). Let i(z) = -42*z**2. Determine d(i(k)).\nAnswer: -1764*k**4 - 3864*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/6 - 38\/(-6). Let s(u) = u**3 + 9*u**2 + 945*u + 6523. Let n be s(-7). Solve n*c = -0*c - d for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3921, 8014, 12121, 16248, 20401, 24586?\n\"Answer: r**3 + r**2 + 4083*r - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-7))\/((243\/42)\/(-9)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ala when three letters picked without replacement from laalalaaaalallaaaa.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 126 = -6*b. Let v be -86*(-3)\/(b\/(-33)). Let t = v - -664. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.499 - -2.499. Let k = -21 + 21. Which is the nearest to f? (a) k (b) -2\/5 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 39*a**2 - 323*a + 126. What is the remainder when 346 is divided by l(46)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 6*b**2 + 8*b + 12. Determine k(-6).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -92 - -102. Let x be -10*-1*6\/j. Let k be -1*x\/(-45)*-5. Do 4 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hr when two letters picked without replacement from xxrxwxwrjmhxw?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -47*186943\nAnswer: -8786321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3105 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 10504 - f**2 - 64*f**3 - 10288 - f**2 + 13*f**3 as b + s*f**2 + q*f**3 + p*f and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**3 + 11*d**2 - 38*d - 331. Determine j(-9).\nAnswer: -556","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -115 = -1.5214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -9. Suppose -1184*a + 1173*a + 11 = 0. Is a != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*k**2 - k + k.\nAnswer: -30*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 - 472 = -2*g. Let x be 4\/22 - g\/(-55). Solve -x*k + k + 3 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -20, -2.\nAnswer: -20, -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n. Let u be d(2). Let y(t) = -t**2 + 8*t - 7. Let s be y(u). Round s to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-34)\/56 + (-59)\/236. Let g = -4 + 4. Suppose g = 5*y + 5. Which is smaller: u or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 148*r - 979. Calculate the remainder when p(10) is divided by 111.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299 is divided by 34.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rxx when three letters picked without replacement from reepxmpxmmme?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of g**7\/30 + g**4\/12 - 3*g**2. Find the second derivative of m(n) wrt n.\nAnswer: 84*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*i - 3*z, 200*i - 203*i + 9 = -2*z for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20905887 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 290*a - 144*a - 148*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -86 + 257\/3. Let d be 4\/(-14)*21\/(-27). Let i = -1470 + 1466. What is the third biggest value in d, 2\/21, i, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 8:20 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10886479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -64*u**4 + 2*u**4 - 14 - 38 + 18*u**4 wrt u.\nAnswer: -176*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence me when two letters picked without replacement from {g: 5, e: 1, j: 1, a: 2, m: 1, w: 5}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 3787108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20526126 (base 7) to base 4.\nAnswer: 12220111002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -57\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*d = -4. Let l(j) = j - 1. Let s be l(d). Let g(m) = m**2 + 6*m - 4. Let a be g(-7). Solve -s*f - 9 = -a for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18854759*p**5 + 4515135*p wrt p.\nAnswer: 377095180*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 0.9, 0.4, -3, 1\/3, 25, 5 in decreasing order.\nAnswer: 25, 5, 0.9, 0.4, 1\/3, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.17 (b) -9 (c) -1 (d) 32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/4 - 11\/(-2). Let f = 474.9 + -475. Is g less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**4 - 6689*g**3 + 3*g**2 + 20065*g - 13378 = 0 for g.\nAnswer: -6689, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 7*z + 2. Let f(q) = q**2 - 6*q + 1. Let c(l) = -4*f(l) + 3*v(l). Determine c(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41*b*d*z + 297*b*d - 2*b*z + 2*d*z + d with respect to z.\nAnswer: 41*b*d - 2*b + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2384)\/(-64) + (-1)\/4. Suppose 0 = 2*b - 5*d + z, 2*b - 3*b + 4*d - 14 = 0. Which is smaller: b or -25?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 141896, 141859, 141796, 141707, 141592, 141451?\n\"Answer: -13*p**2 + 2*p + 141907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1158192575?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*y**3 - 8 + 8)*(-74*y + 3419 - 3419) + (3*y**4 - 2*y**4 - 4*y**4)*(-1 - 1 + 1).\nAnswer: -515*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*u + 40 = -21*u. What is the least common multiple of 63 and u?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*r + 416 + 484 = 0 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5066 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -315*q + 5*q**2 + 315*q - 5 + (3*q + q - 3*q)*(-3*q + q + 4*q).\nAnswer: 7*q**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -221062 by -2.\nAnswer: 110531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 122 = -s, -113 + 19 = -s + 2*v. Suppose 0 = 4*d - s + 18. What is the highest common factor of 14 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001100 + 10010?\nAnswer: -11111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 take away 84.5353151?\nAnswer: -84.4653151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 952341095?\nAnswer: 5, 190468219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 1 + -2 + ((sqrt(13) - ((sqrt(13) + 1 - sqrt(13)) + sqrt(13)))*-2)**2)*4.\nAnswer: 12 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -535, -520, -481, -406, -283?\n\"Answer: 2*t**3 + t - 538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 + 2624*j - 860672.\nAnswer: -2*(j - 656)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(1053)*1)**2 + (sqrt(1053) + -2)*-6 + sqrt(1053).\nAnswer: -45*sqrt(13) + 1067","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/5 - 3\/10. Let k = -6 + 8. Which is the biggest value? (a) 0.3 (b) i (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.3? (a) -7 (b) 5 (c) 1057 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -15. Let x = -85 - -76. Let y = k + x. What is the biggest value in -0.4, y, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.5 (b) -2 (c) 12 (d) 0.047\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-39)\/(-9) - 16\/12. Let a(f) be the third derivative of 1\/3*f**3 + 0*f + 1\/30*f**5 - x*f**2 + 0*f**4 + 0. What is the first derivative of a(u) wrt u?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5853*o + 2353*o - 8204*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiilliiili. What is prob of picking 2 l?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = p, 15 - 1 = 5*l - 3*p. Solve 0 = -3*b + 4 - l for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/6 and -3\/182.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -45*r - 3. Let x be n(-2). Let o = x - -652. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 106068906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/6)\/p)\/p**(3\/5))\/(p**(-1\/2)*p*p**(2\/3))*((p\/(p*p\/(p**(-1\/2)*p*p)))\/p)**(6\/7)\/(p**(2\/7)\/p**(2\/5)) assuming p is positive.\nAnswer: p**(-341\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zjij when four letters picked without replacement from {j: 8, i: 1, z: 10}.\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19594 is divided by 223?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/2 + 2*x + 5\/2.\nAnswer: -(x - 5)*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 356 a factor of 77964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7037 - ((-16)\/24)\/((-4)\/(-18)). Let k = -3789 + o. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -59a9 - -1654?\nAnswer: -4355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 4725.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -11998*v**3 + v**2 + v - 4. Let r(d) = 47990*d**3 - 5*d**2 - 5*d + 18. Determine 2*r(c) + 9*t(c).\nAnswer: -12002*c**3 - c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 72594521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.012860806 to 5 dps.\nAnswer: 0.01286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4 = 0, -3*f + 7*f + 5*t = -10. Suppose -4*k = n + 3, -15*k + 186 = -16*k + 14*n. Sort 8, 3, f, k in ascending order.\nAnswer: k, f, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 3*k**2 + k. Let f be m(-2). Let d = 1 + -6. Put d, f, 3\/5 in ascending order.\nAnswer: d, 3\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 21, 6, -9, -18, -15, 6, 51?\n\"Answer: g**3 - 6*g**2 - 4*g + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7080 = 9*f - 1191. List the prime factors of f.\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4711 + 14957. Calculate the highest common factor of p and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 5*p + 2. Let c be f(-5). Let o = 10 - 6. Solve -c*j + 3*r - 6 = 0, 2*j + 5*r - o = 3*r for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2028*b + 91. Let v(h) = 135*h + 6. Calculate -6*m(r) + 91*v(r).\nAnswer: 117*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1\/5 of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, 2, -4 in increasing order.\nAnswer: -6, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 3*s + 1. Let x = 28 + -27. Let f be (x - 1\/1)\/(-2). Suppose f = -3*d + 8*d - 20. Calculate l(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 2 = -a. Let n be 1 + 1 - 1\/(3\/78). Let t = a - n. Calculate the least common multiple of 28 and t.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 73 and 126290?\nAnswer: 126290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**2 - 5*b + 5. Let r(x) = -x + 1. Let u be 10\/(-25) + (-24)\/(-10). Suppose -3*i - l - 18 = 0, u*i + 2*i + l + 23 = 0. Give i*r(c) + h(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*r**2 - 9*r + 9*r + (-2*r + 4 - 4)*(r - 4 + 4) + 5*r**2 - 5*r**2 - 3*r**2 + 2.\nAnswer: -22*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.017 - 15.017. Let g = 14.959 + r. Let s = 0.04099921 + g. Round s to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -84 - -116. Suppose -3*u = -11*u + p. Suppose t + t - 4*i = 200, -t + 100 = u*i. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + 5*c. Suppose r - i - 68 = c, 0 = 5*r + 3*i - 0*i - 356. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.0701 (b) 0.03 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 3) + 0 + 16 - (-2 + 9).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0953044 centuries in years?\nAnswer: 9.53044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40602 to the power of 1\/2, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 4*b**2 - 3*b - 1. Let f(v) = 5*v - 25. Suppose -7 + 12 = t. Let j be f(t). Suppose -5*z + 16 - 36 = j. Give n(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6439 - 6434. Which is the nearest to 1.682? (a) -0.3 (b) 1\/3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 194406?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/16692 and 20\/4797.\nAnswer: 2053116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3)*q)**(-31))**44 assuming q is positive.\nAnswer: q**2728","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/4985?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5020? (a) 1 (b) -1\/3 (c) 3 (d) 0.1 (e) -22\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53921, -53837, -53751, -53663, -53573, -53481?\nAnswer: -53387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*c - 0*c. Suppose -2*b - k + c = -3, -k = -5*b + 7. Calculate the remainder when 7 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -a3a0d8?\nAnswer: -a3a0dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 376*i + 194542 - 1836910. What is the highest common divisor of 3 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*g + 20 + 12. Let j(v) = 4*v**2 + 14*v + 19. Let u(m) = 3*m**2 + 13*m + 20. Let n(i) = g*j(i) - 5*u(i). Does 5 divide n(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 410172*o - 978140*o - 1309985*o - 199018*o.\nAnswer: -2076971*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39360*o**2 - 4 + 4 + 2*o - 39357*o**2 - 2*o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 11:58 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 80258 = -g, -40078 = 25*x - 26*x + 9*g. What are the prime factors of x?\nAnswer: 2, 79, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -21*y - 57. Let t(n) = 3*n + 8. What is 2*d(x) + 15*t(x)?\nAnswer: 3*x + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 11. Let l be (-6 - 33)*q\/6. Which is smaller: l or 14?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.11 and 221?\nAnswer: -24.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 764c65 (base 13) in base 11?\nAnswer: 162a70a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**6\/120 + 617*j**4\/12 + 127*j**3\/6 - 15*j**2 + 41*j. Differentiate q(w) with respect to w.\nAnswer: 3*w**2 + 1234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-6))\/(((-72)\/(-1))\/(-6))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 791617 is divided by 8155?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -7*g - 13. Let j be o(-9). Suppose -5*q + 0*q = -j. Calculate the remainder when 43 is divided by (-40)\/6*(-24)\/q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cec when three letters picked without replacement from {e: 2, c: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r + 32. Let l be a(-4). Suppose -27*n = -23*n - l. Solve -2 - n = x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3036 and 326?\nAnswer: 494868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -445995 times 47\nAnswer: -20961765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 220974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (2024\/(-143) + 14)\/(923\/(-52) + 18)\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*v = 3*n - 46, -3*n = -2*v - 31. Let a = n + 44. What is the remainder when 147 is divided by a?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134883, 269628, 404247, 538752, 673155, 807468, 941703?\nAnswer: 1075872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74 + 371\/5. Let t be (2\/(-6))\/((-2)\/6). Sort -4, t, w in decreasing order.\nAnswer: t, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 2)*(-3*d**3 - 2*d**3 + 6*d**3) - 2*d**3 - 29 + 29 to t + p*d**2 + i*d**3 + r*d and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 + -31. Calculate the remainder when z is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 3\/(27\/(-7)). Let n = 97.3 + -119. Let g = -22 - n. Which is the smallest value? (a) z (b) g (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**5 - 2 + 8*o**2 - 5*o + 5*o**2 - 5*o**2 wrt o?\nAnswer: 40*o**3 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, q: 3, o: 1}. Give prob of sequence oqz.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 13*i**2 + 2*i + 2. Let q be z(-2). Let r(y) = y**3 - 4*y**2 - 3*y - 7. Let g be r(5). Let k = g + q. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 32834472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1051242.\nAnswer: 2, 3, 241, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.8, 4\/3, -4, -1349 in decreasing order.\nAnswer: 2.8, 4\/3, -4, -1349","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8147 is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 1 = -3*r + 3, -2*p = -r - 8. Let k be 2 - 1 - r\/1. Suppose -2*g - 5 - 4 = -n, -g = -n + 6. Solve -2*v - k = n for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-18)\/5)\/(-9))\/((-2)\/3).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+29191\nAnswer: 29190.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 17*f + 22. Give o(18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-6))\/(26\/(-65))*3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55.586 + 15.484. Round j to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33224045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81157190?\nAnswer: 2, 5, 433, 18743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**3 + 92*k**2 + 80*k - 73. Is h(42) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 471*a + 15. Let k(s) = -471*s - 18. Determine 6*k(j) + 7*r(j).\nAnswer: 471*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - 4*g - 36, 0*i + g + 8 = i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 713466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4518 or 4572?\nAnswer: 4572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 - -110\/3. Let w = -200 + 2602\/13. Let m = 4.64 - -0.36. What is the closest to b in w, m, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/89)*w\/(w\/((((w\/w**(4\/21)*w)\/w)\/w)\/w*w))*w**(-17)*w*w\/((w\/(w**(2\/5)\/w))\/w))**(3\/28) assuming w is positive.\nAnswer: w**(-36943\/21805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/756 and -83\/114705?\nAnswer: 9635220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 58*c - 294*c + 58*c + 57*c + 60*c + 64*c + 2. Let d(x) be the second derivative of -7*x**3\/6 - 5*x**2\/2 + x. Give 4*d(h) + 10*m(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.034102 + -0.034. What is f rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 3:09 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 392627712 a multiple of 244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 6*i**2 + 5*i + 2. Give z(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 65764\/32 - 22\/176. Let b = -291 + n. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0948557 or -1\/5?\nAnswer: -0.0948557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1313849 is divided by 262705.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221*t + 5*o + 20 = 223*t, t - 2*t - 4*o - 3 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 236?\nAnswer: -23.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 + -10 + -2 + 10. Suppose 4*q - 2*w - 1955 = 1557, -4*q + i*w = -3506. List the prime factors of q.\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1897, 2224, 2555, 2890, 3229?\nAnswer: 3572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38609, -77221, -115833, -154445, -193057, -231669?\nAnswer: -270281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2723688067 to the power of 1\/3, to the nearest integer?\nAnswer: 1397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a + 14*a = -96. What is the remainder when a is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36214 is divided by 36203?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3672 and 459.\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10042\/5 + -2007. What is the nearest to -2 in -0.4, -1\/4, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 380527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + 533.922.\nAnswer: 534.922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*q - 22*q - 20 = 0. Solve 2*p = 4*m + 16, -q*p + m - 3 = -p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 237840774?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 9 = f. Suppose 2*q = -17 + 5. Let y be q - 31\/(-5) - 8\/(-10). Solve 2*h - f*h = -y for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18620.7 days in weeks?\nAnswer: 2660.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 68*l - 364 - 312*l - 338*l with respect to l.\nAnswer: -582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - y**2 - y. Let g(t) be the second derivative of t**5\/10 + t**4\/12 - t**3\/6 + t. Let d be ((-14)\/21)\/((-4)\/(-6)). What is d*u(z) - g(z)?\nAnswer: -z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 5:52 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 428 = -68. Suppose 3*r - 1033 = -11*q - 929, -2*q + 2*r = -24. Calculate the greatest common divisor of n and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.259 - -3.259. Let m be (-3)\/(-5)*4\/(-6). Sort v, m, -2 in descending order.\nAnswer: v, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - 104\/(-28)) + 8\/28. Differentiate -g*p - 4*p**2 + 4*p**2 + 41 - 2*p**2 + 3*p**2 wrt p.\nAnswer: 2*p - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - -188. Let q = -222.0000119 + d. Round q to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/82449 and -70\/501?\nAnswer: 13768983","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -168 + 462. What is the hundreds digit of (n - -178) + (-3)\/(6\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 783663 by -783663.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + 4*k**2 - 5 + k**3 + 4*k**2 - 16*k**2. Determine m(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 147.3 + -46.3. Which is greater: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**3\/6 + 3*l**2\/2 - 2*l. Let g(m) = -1. Let v(b) = b + 8. Let z(r) = -6*g(r) - v(r). Determine 4*y(x) + 5*z(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 480.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1484690025 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-12))\/((-164)\/(-18)) - (-221)\/884?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**2 - 3*k**2 + k**2 + (k - 1 + 1)*(-1 + 1 - 5*k) to v + j*k**2 + t*k and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 8*n**2 + 186*n + 893. Calculate x(-5).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19326567?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-three tenths of a century?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18\/81 + (-196)\/(-9).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6109\/3740 - -1\/340. Let a = -32\/2505 - -108899\/92685. Find the common denominator of a and y.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 1 + 1)*(-i - 2 + 2) + ((-2*i + 0 + 0)*(-2 + 2 - 2) + 1 - i - 1)*(0 + 3 - 2)*(-11 + 13*i + 12 + 5).\nAnswer: 40*i**2 + 18*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-5796)*(-75)\/(-45)*-9 + (-7)\/(-161)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) 0.12 (c) 0.5 (d) -13 (e) 2\/9 (f) -1.9 (g) 7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h**3 - 2245*h**2 - 2243*h**2 + 6568*h**2 - 2080*h**2.\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 119*t**2 - 23*t - 3. List the prime factors of n(-9).\nAnswer: 3, 17, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 239, 602, 1025, 1502, 2027, 2594, 3197, 3830?\nAnswer: 4487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 149898893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(1584))**2 - sqrt(1584)) + -2)*2 + 1 + 3 + 4.\nAnswer: -24*sqrt(11) + 12676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70 + -29. Let j = 57 - c. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 132 - 129. Let k(b) = -b**3 + 5*b**2 - 5*b + 3. Determine k(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - n - 30. Let s(x) = -x + 6. Let j(v) = -2*v + 13. Let o(y) = n*j(y) + 13*s(y). Let q(z) = -3*z - 1. What is -4*o(u) + q(u)?\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1932461907.9999687 + -1932462598. Let x = -690 - w. Round x to six decimal places.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-27)\/(-148)) + (-186*(-9)\/486 - 3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -428, -865, -1322, -1811, -2344?\nAnswer: -2933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-72)\/(-60))\/(3 + 883\/(-295))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 6*y**2 - y**3 + 2 + 7 - 4. Let d be u(6). Suppose d*f = -3*g + 7, f = 6*f + 5. Solve -c = g*j + 4 - 17, -5*j + c + 14 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11130 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1688483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1806969578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 17*q**2 + 13*q - 25. Let k be z(2). Solve -39 + k = 6*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**4 - 5*a**4 + 14*a**4 + (3*a**4 + 0*a**4 - 4*a**4)*(3 + 0 - 1).\nAnswer: 5*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**2 + 334336*v - 33413600 = 0.\nAnswer: 100, 167068","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from auffccfscaff. What is prob of sequence ca?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s + 2. Let b(j) be the third derivative of j**5\/60 - j**3\/2 - 3*j**2. Let i be b(0). What is u(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -359 or -360?\nAnswer: -360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -515763*y**2 + 167757.\nAnswer: -1031526*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2028743 is divided by 261?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) + 1)*6 + -5)**2 + 3*(sqrt(38)\/(-2*sqrt(2)) + (sqrt(19) - (-2 + sqrt(57)\/sqrt(3)))**2).\nAnswer: 165*sqrt(19)\/2 + 33529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a + 17*a = 4*m - 74614, -3*m + 55983 = 3*a. Does 44 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 3110052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 18, 8 in increasing order.\nAnswer: 0.2, 8, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 d when two letters picked without replacement from {d: 5, l: 1, w: 5, c: 1, m: 4}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 47617, 95235, 142853?\n\"Answer: 47618*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55455839 is divided by 352.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 310.4 and 0.06?\nAnswer: 310.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3969711 is divided by 309?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 2*d**2 + 2. Let w be m(-2). Let h be 35\/w*24\/15. Calculate the highest common factor of 14 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5*d - 19 = 0, -9 - 22 = -4*q - 5*d. Suppose 0 = 5*j - 5*u - 45, j + q*u + 16 = -0*j. Solve -32 = -j*a + p - 5*p, -3 = 4*a - 3*p for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8164.2 + -4\nAnswer: 8160.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23 - 18 + 41 - 5*k**2 - 13*k**6 wrt k.\nAnswer: -1560*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 16*q**2 + 66*q + 1060. List the prime factors of i(-22).\nAnswer: 2, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 100 - 99 - 8*j**3 - j**2 + j**4 - 3*j + 8*j**3 to the form c + x*j + a*j**3 + u*j**4 + o*j**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12402 and 82602.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 1 = -5*a. Suppose 3*u - 124 = a*c, c - 127 = -3*u - u. What are the prime factors of u?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2734176 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: -131112310 (base 4) to base 10\nAnswer: -120244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -3, 21, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2027368, 2027066, 2026764?\nAnswer: 2026462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/735105 and -1\/1827261?\nAnswer: 63954135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 14 - 2) + -6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.6 + -6.7. Let y = 1.2 + g. Let a = 0.4 + y. Is a less than -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63785*j + 4515*j**2 + 63785*j - 1198*j**2.\nAnswer: 3317*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b5 + ca8?\nAnswer: ad3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9366248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -600 = 9*r - 19*r. Calculate the greatest common divisor of r and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, r: 1, j: 4, t: 2}. What is prob of sequence jxt?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 83904 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 3*j**2 + 3*j + 2. Let n be o(-2). Suppose n = -0*i + 2*i + 12. Let v = i + 9. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 33 = -27. Calculate the lowest common multiple of 132 and p.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + y - 1. Suppose -2*x = 0, -3*s + 5*x = -2*s + 14. Let c(q) = 6*q**2 - 8*q + 7. Let v(m) = s*h(m) - 2*c(m). Find n, given that v(n) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -27.676. Let d = 45 - 45.106. Let o = f - d. Round o to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**3\/2 - 52*b**2 - 1352*b = 0.\nAnswer: -52, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 20*p - 21. Let y be c(21). Let j be 2\/(y + (-10)\/(-15)). Solve -j*v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 4*r**2 - 4*r + 6. Suppose -2*w = -18 + 6. Let o(l) = 2*l + 4. Let f be o(-3). Let y = f + w. Determine i(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 4:22 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)\/sqrt(4))\/sqrt(2).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 676 and 399.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -34, -66, -100, -130, -150, -154?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 620637689 a multiple of 1571?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 3 = k, 5*a + 28 = k for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1784430 rounded to the nearest ten thousand?\nAnswer: 1780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6351\/(-949) + 12\/(-39)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/2 > -2\/689507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-1232)*21\/3.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 12 = 0, 3*f = -4*l + 2*f + 92. Suppose -4*n + n = 9, -2*k + 47 = -5*n. Calculate the greatest common divisor of k and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -119.246 and -361?\nAnswer: 43047.806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1633948739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 69.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -25*u + 63*u - 24*u - 17*u. Let t(r) = -5*r**2. What is t(y(j))?\nAnswer: -45*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5806*r + 2501*r + 2569*r.\nAnswer: -736*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**3\/15 - 2*z**2\/3 + 2*z\/15 + 2\/3 = 0. Calculate z.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5*y**2 + 54*y - 122. What is z(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - 1. Let o(n) = -n**3 - 5*n**2 + n. Calculate o(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -481*h = -223*h - 235*h + 230 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15040*w**3 + 19504*w**2.\nAnswer: -90240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16670 and 31470?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*n - 87604 - 69699 = 2794*n - 5425 for n.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72827640 a multiple of 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 2)*(-42 + 42 + 22*m) + (-m + 1 - 1)*(3 - 3 + 2) + m - 2*m - m.\nAnswer: -26*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17410.\nAnswer: 2, 5, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 817 divided by -1.\nAnswer: -817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/5 - 4\/(-10). Let c be j*4\/2*1. Let d(x) = 2*x + 4. Let v(l) = -1. Let k(a) = d(a) + 3*v(a). What is k(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 40 + -37 - 9*-1. Let t be (-26)\/24 + j\/9. What is the biggest value in t, 1, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, -21, 7\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (546*v**4 - 1531*v**4 - 853*v**4)*(-5 + 2 - 1).\nAnswer: 7352*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18681, -2, -3, 8, -5.\nAnswer: -5, -3, -2, 8, 18681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h - 4. Suppose 5*r = 3 - 23. What is z(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95, -2971, -8057, -15157, -24265, -35375, -48481, -63577?\nAnswer: -80657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(931)*1 + (sqrt(2299) - 1*(sqrt(2299) + (sqrt(2299) - (sqrt(2299) + 1)))) + 2)**2.\nAnswer: -84*sqrt(19) + 3733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.3 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*a*r**2*w**3 - a*r**2*w**2 + 3*a*r**2 + o*r - 5*o*w**3 - 91*r**2*w**2 wrt w.\nAnswer: -78*a*r**2 - 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 11:29 AM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 165907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ef when two letters picked without replacement from {f: 3, e: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 2*y + 58 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 134 + (12 - (191 + -50))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/3 - 598*h**2\/3 + 595*h\/3 + 398.\nAnswer: (h - 597)*(h - 2)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 2 (b) -2\/9 (c) -1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 32.\nAnswer: 5\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m - 5*z - 3, 5*m + 955*z + 17 = 948*z for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 z when two letters picked without replacement from {t: 1, z: 6, j: 2, e: 2}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjff when four letters picked without replacement from {j: 7, f: 7}.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -113*v + 95 - 10 + 28 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7650 and 2902750?\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -199\/10 + 62986\/3165. Which is bigger: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 4*m - 3. Let w be y(3). Suppose w*c + 2*c - 150 = 0. Suppose 3*v + 5*d = -2*v + 90, -5*v + c = 2*d. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1276900*b**3 - 54240*b**2 + 576*b.\nAnswer: 4*b*(565*b - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 12*y**2 + 15*y + 29. Let c be q(-13). Let v(l) = -l**2 - l + 1. Calculate v(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 598\/476269?\nAnswer: 598\/476269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 752490282 to the nearest integer?\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 10. Solve 4*r - b = -18 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 6*f**2 + f. Let z be s(1). Let n(l) = 177*l + l**3 + 2 - 8 - 12*l**2 - 176*l. Let o be n(12). Is o at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + 5)*1)**2 + 2.\nAnswer: 10*sqrt(3) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1282449841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 15*c. Let a be h(-2). Let p be ((-426)\/15)\/(12\/a). Let f = p + -44. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11\/3 + (-2)\/3. Let h = 5 + b. What is the smallest common multiple of h and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 12:17 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.019359036 rounded to four decimal places?\nAnswer: 0.0194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-3))\/(((-288)\/243)\/8).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.00822023 = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2\/3 (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 439 + -438.99379. Let t = 0.0066 - p. What is t rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2657 - 29a?\nAnswer: 2379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b**3 - 25*b**2 + 4*b + 43. Calculate y(-8).\nAnswer: 459","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 33*l + 289. Let b be w(-8). Let y = 91 - -134. What is the greatest common factor of y and b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -119 - -388.92. Let w = -837 + 560. Let u = v + w. What is u rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 7:05 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x - 25. What is n(-30)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/1 + 1\/1. Let p(v) = 0*v - v + v**3 - x*v**3 + 2*v**2 + 4*v. Determine p(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 16 = -2*f. Suppose 4*n + 5*a - 11 = 0, 3*a - f*a = n - 2. What is the biggest value in -3\/5, n, -11\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 3 + 4)*(-6*v + 2*v + v) - 4*v + 3*v + 2*v)*(-1 - 3 + 0) - 10*v - 6*v + 11*v.\nAnswer: -45*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000020259 rounded to 7 decimal places?\nAnswer: -0.0000203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 721453346 a multiple of 3265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/228717 and -8\/473.\nAnswer: 2515887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 4*a - 1. Let y be 9\/(-18) - 14\/(-4). Suppose 2*w - 6 = -2. Let n = w + y. Give l(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7173?\nAnswer: 3, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence amm when three letters picked without replacement from {m: 3, a: 9}.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2862 + 64562*t + 2862.\nAnswer: 64562*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 times -1.19?\nAnswer: -23.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -520554 * -309.\nAnswer: 160851186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 10610, 5, 0, -7 in ascending order.\nAnswer: -7, 0, 1, 5, 10610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -9*v + 63. Let q be p(7). Let y = -165 + 1483\/9. Which is the closest to q? (a) y (b) 0.5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/4 + 259065*b\/4 - 123095451\/2.\nAnswer: -3*(b - 85394)*(b - 961)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71 - 72. Let t(h) = 50*h - 49*h - h**2 + 0*h**2 - 1. Let a(w) = -4*w**2 + 8*w - 5. Determine f*a(q) + 5*t(q).\nAnswer: -q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 2*d + 3*o + 19 = 0, 2*o = -5*d + 38. What is the remainder when 46 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2864710*l**3*y - 2*l**3 - 858677*l - 36*y - 99 wrt y.\nAnswer: -2864710*l**3 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7629, 15249, 22867, 30483, 38097, 45709?\nAnswer: 53319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6463655 and 6?\nAnswer: -38781930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 404.\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 349, 284, 109, -230, -787, -1616?\n\"Answer: -9*u**3 - u**2 + u + 358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**3 + 0*k**3 + 0*k**3 + (k + 0*k + 0*k)*(39*k**2 - 22*k**2 + 7*k**2) - 2*k**3 - k**2 + k**2 + (k - 2*k + 0*k)*(4*k**2 - 3*k**2 + 6*k**2).\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 13*s**2. Let b(i) = 702*i**2. What is b(q(o))?\nAnswer: 118638*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45184 = -35*h + 44519 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -3 + -9 + 6 + (-20)\/(-2) and 2286.\nAnswer: 4572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-1)*40\/8. Is b less than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x**2 + 6*x - 6. Let c be (-63)\/(-35)*(-30)\/9. Let r(p) = -3*p**2 + 2*p**2 - 4*p - p**2 + 5 - p. Determine c*r(v) - 5*s(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1.8, -762\/17, 0.2, 2\/27?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*s**2 + 125 - 112*s + 7*s**2 - 128 + 33*s wrt s.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41640 or 41379?\nAnswer: 41379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.0231 (b) -0.3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -8608?\nAnswer: 860d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5249213 and 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3247621*r + 3953843.\nAnswer: -3247621","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -94 - -62. Let j = v - -43. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -5\/219?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1725484 to the power of 1\/2, to the nearest integer?\nAnswer: 1314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -91 divided by 72\nAnswer: -91\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 9.7, -8, 3\/4 in descending order.\nAnswer: 9.7, 3, 3\/4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 8:49 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, 5, 2 in decreasing order.\nAnswer: 5, 2, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.4, -37, 37, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*n + 46*n - 630. Let s(j) = -j**3 + j + 6. Let z be s(0). Suppose z*c = -c + n. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8236315.\nAnswer: 5, 773, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -109*a**3 + 12*a**2 - 12*a. Let v(r) = -217*r**3 + 23*r**2 - 21*r. Determine -7*g(c) + 4*v(c).\nAnswer: -105*c**3 + 8*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/18 and 103\/266.\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5029104 divided by 24?\nAnswer: 209546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32270500?\nAnswer: 2, 5, 233, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 2*n. Let u = 617 - 615. Solve n = u*i + 3*i + 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0828 and -20.\nAnswer: 1.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + 9\/(-3))\/(16 + -20). Which is bigger: 2\/437 or g?\nAnswer: 2\/437","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4da42 - 2?\nAnswer: -4da44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1553980 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -36*c**2 - 5*c. Let k(f) = -f**2 + f. Let u(t) = -a(t) - 5*k(t). Let q(o) = 4*o**2. Calculate u(q(r)).\nAnswer: 656*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (99 - 67) + 1 + -14 + -12 + 50.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 6*l**2 + 5*l + 6*l + 13 - 5*l**2. Let p be t(-10). Factor 0*y - 1\/2*y**p - 1\/2*y**2 + 0.\nAnswer: -y**2*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1066 is divided by 210?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/(-9) + (11\/(-2) - 1) and -9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*m + 25*m = -37*m - 2090 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 + 225844*y - 451680.\nAnswer: -2*(y - 112920)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 2*o - 16 = 0. Sort 1, o, -11, -3 in ascending order.\nAnswer: -11, -3, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 2:59 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 977?\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 125 + 25 = 0. Suppose -3*c + 8*c = w. Suppose 69 = c*j + 3*s - 4*s, -2*s + 6 = j. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10.91 + 14.91. What is the nearest to 27 in a, -0.2, -0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (120*k + 4247 - 4247)*(-k + 0*k + 0*k).\nAnswer: -120*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 7. Let u = 224 - 221. Let p(g) = -2*g**2 + 4. Let s(c) = -c**2. Let t(a) = a**2 - 9. Let k(y) = 4*s(y) - t(y). Give u*k(b) + v*p(b).\nAnswer: -b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 18*k**2 + k. What is the remainder when 49 is divided by w(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 6*v**2 + 5*v + 5. What is p(5)?\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 80 + -86. Let i = -6.0689 - -0.1409. Let p = i - r. What is p rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of 0*f**3 + 7\/120*f**5 + 3\/140*f**7 + 1\/48*f**4 + 3*f**2 + 0*f + 1\/16*f**6 + 0. Factor u(o).\nAnswer: o*(o + 1)*(3*o + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.19 + 485.475.\nAnswer: 485.665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, k: 10}. What is prob of sequence kk?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 106690, 427136, 961212, 1708918, 2670254, 3845220, 5233816?\n\"Answer: 106815*t**2 + t - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 169 - 167. Suppose 118 = t*h - 3*v, -7*h + 177 = -4*h + 4*v. Is h a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.38, -2\/3, 0, 1\/2, -1\/3.\nAnswer: -2\/3, -0.38, -1\/3, 0, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 5:21 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.46 times -3588070\nAnswer: -1650512.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j**3 - 15*j**2 - 48 + 3*j + 95 - 46 - 5*j**3 as c + w*j**3 + k*j + u*j**2 and give u.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -q**4\/6 + 12*q**3 + 4*q**2 - q + 22. What is the hundreds digit of w(31)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xb when two letters picked without replacement from {v: 2, u: 3, y: 6, x: 5, b: 2}?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s\/(s*s*s\/(s**(-1\/2)*s*s)))\/(s\/(s*s\/((s\/((s\/s**(1\/6))\/s)*s)\/s))))**(-24\/7))**(-3))**(-1\/2) assuming s is positive.\nAnswer: s**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2776544?\nAnswer: 2, 86767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*o - 4*x, 2*o + 5*x = o + 22. Let r(v) = -4*v + 2. Let p(w) = 9*w - 4. What is o*p(h) + 5*r(h)?\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8876 and 15?\nAnswer: -133140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 6*q**2 + 7*q - 8. Give j(6).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 609*c + 604*c + 606*c - 1825*c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5)\/(-225)*6 + 19646\/30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -42561945*k**2. Let q(v) = 2*v**2. Calculate q(z(l)).\nAnswer: 3623038324366050*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + 3 + (0 - 2). Let h be (6\/o - -5)*-1. Which is the closest to h? (a) -0.2 (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35d7c (base 15) to base 7\nAnswer: -1313565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5 = 5*s - 0, 0 = 5*q + 2*s - 4. Suppose -q*n + 173 = -n. Let v = n + -1213\/7. Is v equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 25236089 and 8.917?\nAnswer: 25236080.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 10 = r + 2*z, 2*r - 4*z = 20. Let k be 4*(r + 1)\/1. Suppose -14 + 6 = -k*n. Do 2 and n have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2*w**3 + 2*w**3 - 14*w**3.\nAnswer: -14*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162565 is divided by 1311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 583 - 588. Which is the third smallest value? (a) 5 (b) u (c) -0.1 (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/32)\/(6\/(-4))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.08 or -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + s - 2, -4*a - 3 = 2*s - 7. Solve -2*w - w - 9 = a for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -839.\nAnswer: -83.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(-3) - (0 - 16). Suppose -2*u + 19 = -q. Let l be (8\/((-40)\/15))\/((-27)\/18). What is the highest common divisor of l and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 11) in base 9?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22792807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 4 - (2 + 10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 7*g**2. Suppose 4*q - 4 = 5*y, 0*y - 5*q = 3*y - 5. Suppose y = 3*a + 4*a - 21. Let i(j) = 5*j - a*j - j. What is f(i(t))?\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 w when two letters picked without replacement from wnwwwwwwfewwwmnwnf?\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ehsamhehmnee. What is prob of picking 1 e and 1 n?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 120 = 3*y, -3*y = -3*r + 16 - 112. Calculate the remainder when 22343 is divided by y.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 4*j + 13, -4*w + 3*j + 20 = 49. Let l = w - -7. Let d(o) be the third derivative of -o**5\/30 + o**4\/24 + o**3\/6 + 1196*o**2. Give d(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 7 = -2*d, -101*d + 96*d = 5*t + 5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + 15*i - 48 = 0. Let h be 2\/((-2)\/(i\/(-5))). Factor h*l + 0 - 7\/5*l**2.\nAnswer: -l*(7*l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 887959\nAnswer: -1\/887959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -67*c**3 - 146*c**3 + 361*c**2 - 225*c**2 wrt c?\nAnswer: -1278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -111*v**3 - 3*v**2 + v - 9. Let y(t) = 222*t**3 + 7*t**2 - 2*t + 21. What is -7*b(l) - 3*y(l)?\nAnswer: 111*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.2 - -1.4. Let p = n - -2. Let y = p - 0. Which is smaller: -0.09 or y?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.384 minus 1?\nAnswer: -1.384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6845032.\nAnswer: 2, 41, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 413.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 812*h + 608*h - 58*h + 1071*h + (1 + 2 - 4)*(h - 1 + 1) + (-1 - h + 1)*(1 - 4 + 5).\nAnswer: 2430*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 0.2, 1\/11, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110101222101 + 1?\nAnswer: 110101222102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 106 - 91. Suppose -9*a = -g*a + 24. Solve 11 + 9 = -a*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a second in milliseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9108 - -9122. Let y(i) be the first derivative of -i**2\/2 + 19*i - 1. Let d be y(h). Solve q - d = -0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 47.834, -0.1?\nAnswer: 47.834","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 30*r + 92*r - 47*r - 14*r.\nAnswer: r + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -102730896 minus 0.402?\nAnswer: -102730896.402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 12*v**2 + 25*v - 24. Let i be l(13). Let x = -127 + i. Solve 0 = -3*o - 2*k - 20, -x*o + 3*o + 2*k = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*4\/(-28)*0. Which is the nearest to 0.3? (a) 2\/9 (b) -0.5 (c) g (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -166 + 328 - 788*w - 162 - 527*w to p*w + f and give p.\nAnswer: -1315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/3*(-4)\/((-96)\/18)*4.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = -k + 160. Let l = k + -16. Solve m - l*c - 17 = 0, 4 = -m - 2*c - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 - -9116a?\nAnswer: 91163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -8*l**4 - 27*l**3 - l - 18. What is the third derivative of n(w) wrt w?\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 110, 3, -2 in increasing order.\nAnswer: -10, -2, 3, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f + 3 - 2 + 3*f)*(-3 + 2 + 2 + 2 + 0 - 4 + (2 - 1 - 3)*(-3 + 1 + 3) - 2 + 1 - 3).\nAnswer: -63*f - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (13\/((-78)\/12))\/((-1)\/(-3)). Let u(z) = -z**3 - z - 1. Let j(b) be the first derivative of 5*b**4\/4 + 3*b**2 + 6*b + 1. What is p*u(l) - j(l)?\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttktwkttk. What is prob of picking 3 k?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2597*l - 18182. What is i(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -66 - -67. Let g(a) = -3*a. Determine g(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532555.9ms in seconds?\nAnswer: 532.5559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231412 is divided by 804?\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w + 3*w - 11004366*w**3 + 11004294*w**3.\nAnswer: -72*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9047074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24953 - -26315. Calculate the highest common factor of i and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l. Let k(w) = 4*w**3 - 8*w**2. Let b(h) = k(h) - 4*p(h). Find m such that b(m) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 26 = -2*y, 5*g - 9*g - 35 = -5*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -k + 132. Suppose 0 = 5*j + 3*y - 5*y - k, -j - 4*y + 11 = 0. Is j a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 4*a - 5*p + 178 = 0, 5*a - 5*p = 515. Suppose 95*i + 12 = a*i. Solve 5*b - 13 = -4*l, 5*l = i*l - 3*b + 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**3*f**(6\/5)*f**(-4)*f**(-1) assuming f is positive.\nAnswer: f**(-29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6 + 23 + 11 - 7*y + 6 - y wrt y?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/5 - (-44)\/10. Factor -3*f**3 + 82*f**b + 90*f**4 - f**2 - 4*f**5 + 3*f**5 - 175*f**4.\nAnswer: -f**2*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - a = 19, 51112*z + 39 = 51109*z - 2*a for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10030143 - 211?\nAnswer: -10030404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82135446?\nAnswer: 2, 3, 13689241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2361 is divided by 139?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -0.25763.\nAnswer: -0.077289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.49 + -38.49. Let y = -38.0129 - f. What is y rounded to three dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1526841*x**2 + 2*x - 1740534*x**2 - 1 + 3.\nAnswer: -3267375*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/((5 - 2) + -2). Let j(k) = -12 + k + 12 + n*k. Let w be ((-2 - -2) + 2)*1. Let a(x) = 4*x - 1. Calculate w*a(c) - 6*j(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 16890.57t?\nAnswer: 16890570000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 5011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6356\/3 - 253733\/120. Let a = -37\/8 + m. What is the closest to a in -10, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + 6*r - 5*s = -8*s + 12, -2*s = 2*r + 2*s - 1 + 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 10*q**3 - 3*q**3 + 10*q**3 - 3*q + 2 + q**2. Let c be t(1). What is the second derivative of -3*n**5 + 34*n + c*n**5 - 29*n**5 wrt n?\nAnswer: -300*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1332 = -7*i + 13*i. Let f = i - -229. Which is the nearest to 1\/2? (a) -1 (b) 0.4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.29226 * 0.5.\nAnswer: -0.14613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -12905.\nAnswer: 38715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*b + 2079715 = 2078772 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 121695 and 1729.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**2 - 2. Let k = 11 - 18. Let r(h) = -h**2 - 8*h - 5. Let v be r(k). What is the remainder when w(v) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 h, and 1 p when three letters picked without replacement from {p: 1, x: 3, n: 1, h: 4, u: 2}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/(sqrt(7) - sqrt(28)\/sqrt(4) - sqrt(7))*3.\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+-32549716\nAnswer: -32549715.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 4, -5, -4, 2150 in ascending order.\nAnswer: -10, -5, -4, 4, 2150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 284 divided by -21642?\nAnswer: -142\/10821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = r - 6*r. Suppose 5*d - 2*t = -5, -4*t + 0 = r*d + 4. Suppose -2*v + v + 3 = 0. Put d, -2, v in decreasing order.\nAnswer: v, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -27088.1 and -46.\nAnswer: 1246052.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -11529\nAnswer: 23058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*(-3)\/((-24)\/(-2)). Calculate the highest common factor of t and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0\/f)**(-4\/21)\/(f*f**(-1))**(-2\/17))\/((f*f*(f*f**0\/f)\/f*f)**(3\/4))**(-47) assuming f is positive.\nAnswer: f**(2969\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 1429*n - 405. Let d be j(7). What is d rounded to the nearest 100?\nAnswer: 9600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 2\/5, 18, -669, -7\/6?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -92851 (base 10) in base 13?\nAnswer: -33355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/5454 and -41\/8484.\nAnswer: 76356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -198 (b) -5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 68556 a multiple of 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-3*(-2)\/(-174)). Let v = r + 157. Let s be 2\/(-8) + (-57)\/(-4). What is the greatest common divisor of s and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 y when three letters picked without replacement from {y: 2, m: 5, s: 6}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (((-112)\/7)\/16)\/(-20)\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4888 and 1392248?\nAnswer: 65435656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 - -1) + -2 + -3. Suppose 3 = 4*d + k*o - 1, -4*o = d + 13. Factor 0*j**3 - d*j**3 + 0*j**5 - 2*j**5 + 5*j**3.\nAnswer: -2*j**3*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -4 (b) -14 (c) 2410 (d) -2 (e) -0.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -117611*x + 1764163. What is h(15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19\/145 - 2\/29. Let q = -0.01 + -0.09. Sort h, q, 0.5.\nAnswer: h, q, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of 251*x**3\/6 - 213*x**2 + 1195*x. Find the first derivative of p(y) wrt y.\nAnswer: 251","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/5 and 1\/2200.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + (-58 - 48) + 50?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -973 divided by -36?\nAnswer: 973\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -200 - -199.8. Suppose 6*u = 3*u. What is the smallest value in 0.4, u, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52726*s**3 + 7*s - 2*s**4 + 52726*s**3 - 17*s**2)*(-s + 2*s + s).\nAnswer: -4*s**5 - 34*s**3 + 14*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = z + 2*b, 46 = 2*z - 4*b - 12. Suppose 0 = -s - 4*h + z, -5*s - 5*h + 51 = -34. Suppose 3*f = k - 31, -k + f - s = -2*k. Solve 6 = -5*n - k for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3672 - -2?\nAnswer: 3674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 47512.29 millennia in centuries?\nAnswer: 475122.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -91, 25799, 2.\nAnswer: -91, 2, 25799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -48*w - 1001. Give o(-21).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 34*k - 4. What is z(-37)?\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3256 - 3254. Find h such that 2\/7*h**5 - 2*h**o + 18\/7*h**3 + 0 - 10\/7*h**4 + 4\/7*h = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 227667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -15061, -4, -5, 5, -3, 2, -1 in ascending order.\nAnswer: -15061, -5, -4, -3, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89975 is divided by 29480?\nAnswer: 1535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 357340 and 15722960?\nAnswer: 15722960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 6*a**3 + 11*a**2 + 16. Suppose -2*i - 66 = i. Let b(c) = -c**3 - 2*c**2 - 3. Let p(g) = i*b(g) - 4*v(g). What is the first derivative of p(t) wrt t?\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -22. Suppose -5*t - g = -0*g - 20, 3*t - 35 = 4*g. Suppose 9 = -k - 3*z, k + 2 = z + t. What is the third biggest value in k, -2\/5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-9)\/90)\/(0 - 18\/20).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -2. Let a(i) = 4*i**2 - 2. Let b(w) = 17*w**2 + w - 8. Suppose h = -6 - 7. Let t = 4 + h. Calculate m*b(r) + t*a(r).\nAnswer: -2*r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -291*r**4 + 77395*r - 611*r**4 - 4097 - 77395*r wrt r?\nAnswer: -3608*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 21*u**2 + 102*u + 54. Let i be y(-25). What is the third smallest value in 2\/5, -386, i, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -481*g + 241*g + 240*g - 4*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u**2 - 7*u**2 - 18*u + 7*u.\nAnswer: -15*u**2 - 11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35319*i = 35324*i. What is u in -3\/2*u**2 + 3\/4*u**3 + 3\/2*u**4 - 3\/4*u**5 + i*u + 0 = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 6*a**2 + 7*a - 6. Let x(l) = -l**3 - 3*l**2 + 2*l - 3. Let y be x(-4). Let o be q(y). What is the units digit of 40\/7 + o\/14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 2498 - 16360. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -103 + 107. What is the nearest to -1 in -0.05, i, 32?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/24*1)\/((-3)\/(-48))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, p: 3, x: 3}. What is prob of sequence pc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 w when two letters picked without replacement from {w: 2, d: 2, q: 9}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81341812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5aa61 (base 11) in base 13?\nAnswer: -30c63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4149 + 4138. Put s, -1, -3, 0.01, 4 in increasing order.\nAnswer: s, -3, -1, 0.01, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1110)\/(-69) + 4\/(-46). Let u(n) = 2*n**2 + 7*n + 21. Let l(q) = -3*q**2 - 6*q - 20. Let i(a) = -3*l(a) - 4*u(a). Is 8 a factor of i(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 4:40 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (24\/9 - 3)\/(95\/(-855)). What is the closest to 1 in -8, 0.1, b, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 0 + 0)*((-2*d + 2*d + 2*d**2)*(0*d - 2*d + 0*d) - 2*d**2 + d**3 + 2*d**2 + d**3 - 3*d**3 - 3*d**3) + 1533 + d**4 - 345 + 2*d**4.\nAnswer: 19*d**4 + 1188","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7174081.\nAnswer: 1601, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 4*s + 4*v = 135, -s = 5*v + 45. Calculate the common denominator of 3*(-40)\/s + 0 and -26\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2331.4 - 1251741.64\nAnswer: -1249410.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5452*g*j*y + 2*g*j + 553*g*y**2 - 2*g*y + g + 32*j*y**2 - 6*y**2 wrt y.\nAnswer: 1106*g + 64*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*w - 8908 = -8566. Find k, given that 16\/5 + 12\/5*k - 4\/5*k**w = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 2. Let q(v) = 2*v**3 - 5*v**2 + 2*v - 1. Does 14 divide q(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 - 25. Let h = 11 - j. Suppose 23 - 86 = -3*r - s, 2*s - 82 = -h*r. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*g**4*h + 18*g**3*h*m - 4*h - 17*m wrt g?\nAnswer: -40*g**3*h + 54*g**2*h*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*p = 47*p - 49*p + 630 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/26564 and 11\/79692.\nAnswer: 79692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 356 + -359. Let m = -251\/5 + 50. Which is the second biggest value? (a) 0 (b) v (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 61 = -1276. Is 27 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (4 + -2)) + 0 + -21.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -1021332233123?\nAnswer: -1021332233120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4\/37547 - -3041323\/150188. Factor j*c + 3\/8*c**2 + 2187\/8.\nAnswer: 3*(c + 27)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*l - 3*r - 15, 2*l = r + 3. What is the tens digit of -1*l\/((-2)\/(-562))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 4*w**2 - 4*w + 5. Determine s(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 312010013 (base 4) to base 3\nAnswer: 102020202202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3294, -3241, -3146, -3003, -2806, -2549, -2226, -1831?\nAnswer: -1358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j - 26 + 28 + 3*j.\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/1)\/(1\/(-11)*(1224\/(-68))\/(-126))\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71768 is divided by 5515.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/72234484?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*j = -5*j, -13 = 5*z - 4*j. Let u = -238\/5 + 47. Are z and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7530, 35492, 82102, 147366, 231290?\n\"Answer: c**3 + 9318*c**2 + c - 1790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 60 = 2*s + 2*s, -2*s = 5*z - 278. Let o = 80 - z. Does 9 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (30\/(-25))\/((14\/60)\/(-7)). Let a be 0 + 4 + y\/(-9). Solve a*g + 4*l = -4*g + 12, 0 = 5*g + 4*l - 14 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-176)\/10 + 14\/105*-3. Let l(d) = d**2 + 17*d - 20. Calculate l(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 122328830 and 390?\nAnswer: 366986490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1370718 is divided by 104?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-2 + 11 + -13)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 7. Let p(k) = -83 + 83 + y*k. Let t be p(1). Solve -t*c + 0 = 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8589247273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 f when four letters picked without replacement from ocsflfs.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2ca (base 13) to base 4.\nAnswer: -13320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 12 = 3*z. Let p be (z - 0) + -6 + 6. Solve 0 = 2*t - 1 - p for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 10*u + 145. Let m be o(5). Suppose 0 = -6*r + 71*r - m. Which is the third biggest value? (a) r (b) -246 (c) -1\/4 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/6*(-6)\/9. Let t be 1 - (0 - (1 + g + 1)). Let u = 33 - 98\/3. Which is the closest to u? (a) t (b) -2\/9 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.31769363 to 1 decimal place.\nAnswer: -10.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w. Let r(d) be the first derivative of -12*d**2 - 14. Give r(a(o)).\nAnswer: -48*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -9, -17, -39, -75?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a century in months?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -38.1, 4, 3\/16, -1 in descending order.\nAnswer: 21, 4, 3\/16, -1, -38.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 2. Let q be w(2). Suppose n = -2*d - 2*d + q, d = -n. Find the second derivative of 0*s + s**2 - 2*s**2 - d*s - s**2 wrt s.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2281 + -2185. Let x be (-3320)\/(-140) + 2\/7. What is the highest common factor of x and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 9 = -0*s. Suppose 27 = s*b - 2*u, 0*u + 4*u = -3*b + 27. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -95380 and -0.01.\nAnswer: 953.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxkxaxr. What is prob of sequence ar?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35298?\nAnswer: 2, 3, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1020 by 4994.\nAnswer: -510\/2497","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*t**2 - 79*t**2 + 42*t**2 - 9*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7017.3 and -9.\nAnswer: -7026.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -2.7, -3, 1, 18, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -956*t = -1021*t - 455 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 160741072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -118*o + 25846. Calculate n(219).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.072 - 0.072. Which is the biggest value? (a) -4 (b) g (c) 4 (d) 0.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1554\/(-952))\/(-37)*(-13)\/((-117)\/(-48))?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 542 * 7\nAnswer: 3794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i\/(i\/i**0*i))\/i))**34\/(i**(-3)\/i**(-1)))\/(i*i*i**(-1\/10)*i\/i**2*(i**(-1))**(-9\/7)) assuming i is positive.\nAnswer: i**(7127\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 379702225.\nAnswer: 5, 7, 17, 18233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 503677927.\nAnswer: 67, 7517581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 1\/3, -5, -1\/4, -17, -9614?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 0.2, -5, 32 in ascending order.\nAnswer: -5, 0.2, 1\/2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -32*i**6\/15 - 15*i**2 + 125*i. Differentiate w(v) with respect to v.\nAnswer: -256*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 2*k + 34, -u + 5*u - 5*k = 121. Suppose v = u - 5. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*l - 201678 = 679*l - 106578 for l.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 1035 = 1042 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (374\/(-17))\/((-2)\/3). Let d(f) = -f**3 - 10*f**2 + f + 4. Let m be d(-10). Let s = m + 28. What is the highest common divisor of s and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g**3 - 2*g**2 + 3*g - 1. Let m be l(1). Is (m - 0) + 0 - -26 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 12*f**3 + 4*f**2 + 15*f**3 + 0*f**2 + 0*f**2 as k + t*f**3 + w*f**2 + n*f and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -5*l - 32, 42*t - 537*l - 336 = -541*l for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*y**2 + 6*y**4 + 9 - 6 + 8*y**2 to the form t*y**4 + h*y + d + g*y**2 + a*y**3 and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.1 - -0.9. Which is the closest to 2? (a) g (b) -1\/2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -371\/60832 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -81352.1566582 - -19?\nAnswer: -81333.1566582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6785 and 345.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 5.385363 and 0.7.\nAnswer: 6.085363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0 - 12 = 0. Let l = -3 - c. Let v = -230 - -463\/2. Is v less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1155444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 80 = 8*u. Let h(q) = -104*q**3 - 48*q - 48. Let l(r) = -11*r**3 - 5*r - 5. Give u*h(i) - 48*l(i).\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -1 + 17*f - 3 + 2. Let n be z(-4). Let y = -43 - n. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + sqrt(325) + sqrt(325)))**2*-2 - ((5 + sqrt(13)*2 + -5)*-1)**2.\nAnswer: -23452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -804*o**2 + 2*o - 1. Let r be c(1). Let l = -409 - r. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3 = 5*t + 61, 4*f + 140 = -4*t. Suppose -263 = 5*p + 2. Let o = p - f. Is -14 not equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 17\/2 of a meter?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 15) in base 2?\nAnswer: 10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -4 - 4 - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65 + 64.93. Which is the nearest to 0.1? (a) l (b) -1 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -244a76?\nAnswer: 244a73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/2, -5, -0.197, -0.4 in descending order.\nAnswer: 2, -0.197, -0.4, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t. Let y(n) = -2*n + 12. Let a(c) = d(c) + y(c). Let w be a(5). Solve 5*h = -0*k - k - w, k + 2*h + 4 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*t - 638 = -494 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**3\/6 - s**2 - 3*s. Let r be l(-7). Solve 4*a + r = 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (201\/134)\/(-1)*14.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - -9. Suppose t*g - 3 = 16*g. Are 1 and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 583 - 588. What is the nearest to 0.2 in -3\/5, 0.3, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 79 - 77. Suppose 5*v = -g*u + 55, 3*u - 20 = -5. Solve -p = 2*p + v for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1)\/(-3)*-94)\/(-11 - 27952\/(-2544)).\nAnswer: 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23578?\nAnswer: 2, 11789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5762810, 11525610, 17288410, 23051210, 28814010, 34576810?\n\"Answer: 5762800*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2463*u**2. Let n(l) = -319*l**2. Determine n(k(q)).\nAnswer: -1935171711*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*12304.4.\nAnswer: 123044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14846237 to the power of 1\/4, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.25 in -1324, -5\/6, -7\/20?\nAnswer: -7\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 481796811.\nAnswer: 3, 43, 1244953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 15*a**3 + 9*a**2 + 13*a + 15. Let t(k) = -8*k**3 - 5*k**2 - 7*k - 8. Determine 11*t(v) + 6*x(v).\nAnswer: 2*v**3 - v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r + 2. Let w be k(-2). Let b(n) = n**3 - 7*n**2 - 8*n + 6. Let j be b(w). Let z be (-234)\/(-42) + j\/14. Solve -z*h = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000818454 rounded to 7 decimal places?\nAnswer: -0.0000818","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17004 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 43026 (base 7) in base 8?\nAnswer: 24635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -0.3, 1\/5, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + 30 - 65) + (-50 - -10).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -5*u + 2123. Let p(c) = 2*c - 716. Give 4*j(x) + 11*p(x).\nAnswer: 2*x + 616","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**2 + 7. Let i(a) = 21*a**2 - 7*a + 7. Let v(r) = 10*r**2 - 3*r + 3. Let j(t) = -6*i(t) + 14*v(t). Calculate s(j(y)).\nAnswer: -392*y**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 103325 (base 8) in base 9?\nAnswer: 52312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -v - 0*v. What is the units digit of 20\/v - (-1 + -198)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + -2 + 2 + 2. Let m be (-111796)\/9015 - s*-1. Let v = m - -2\/1803. Find the common denominator of v and 28\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g + 1. Let s be w(-2). Let i = 349 - 5931\/17. Which is the second biggest value? (a) i (b) s (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 4*z + 16*z - 13*z + 41 - 8.\nAnswer: -z + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/262696 and -1\/459718.\nAnswer: 1838872","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 12a (base 11) in base 12?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6038\/11 + 33794730\/61567. Is 1 less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -3 - 2)\/(80\/(-320)). Suppose 188*y = 189*y + r. What is the second smallest value in 30, y, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57159528.\nAnswer: 2, 3, 1093, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 119875300 and 400.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2810 by 562.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1547364*d**2 - 1994823?\nAnswer: 3094728*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6157*u**2 - 5*u - 5349. Let p(y) = -6158*y**2 + 4*y + 5350. Let f(j) = 4*c(j) + 5*p(j). What is the derivative of f(g) wrt g?\nAnswer: -12324*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -123*v - 2. Let c be f(-1). Suppose 2*k - 11 = c. Is 22 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - ((0 - (-2 + 3)) + 5 + 1).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5237519 a multiple of 265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*(y*y**4*y*y)\/y)\/(y*y**(-2)\/y*y)*((y*y\/y**(-4\/9)*y*y)\/y)\/(y\/(y*y**5)))**29)**(4\/29) assuming y is positive.\nAnswer: y**(592\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 7*x**2 + 16*x - 2. Calculate v(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 15 = 3*d - 6, -5*n = d + 9. Let l be (-52)\/(-72) + (-4)\/18. Which is the closest to l? (a) 0.07 (b) 1\/6 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 155797341 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0*r = 15, r = -x + 8. Let f(g) = 0*g - 2*g + 19 + g. Let t be f(x). Calculate the greatest common factor of t and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/(-24))\/((-3)\/48))\/4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 1221001221?\nAnswer: 1221001212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 4*r + 312, 196 + 22 = -3*t + r. Let x = t - -78. Solve 4*o = y + 5, x*y - 3*o - 10 = -30 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.19 and 0.9234.\nAnswer: 5.1134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1426, 2829, 4232, 5635, 7038?\n\"Answer: 1403*b + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.4 + -2. Let p = -0.1 - l. Let v be (-10)\/((-20)\/4) + -2. What is the closest to -2 in p, v, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y**2 - 158659 + 158659.\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 264 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*d = 0. Let w be ((-4)\/7)\/((-6)\/21). Suppose d*q = -w*q + 28. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {l: 2, c: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13880932 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14872391 - 5955*j + 5955*j - 14872391 + 44*j**3.\nAnswer: 44*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 10 - 0. Let m be 16\/(-64) - (-13)\/4. Let s be 20\/9 + (-4)\/18. Solve 0*i - s*i = 2*h + w, m*i + 2*h = -3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 2) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1712067045?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10395 divided by -15?\nAnswer: -693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1714140, 1714136, 1714118, 1714080, 1714016?\n\"Answer: -t**3 - t**2 + 6*t + 1714136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 991964 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 442221 (base 5) to base 11\nAnswer: 1055a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -536*-2.571\nAnswer: 1378.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5600.8 + -5601. Which is the nearest to 1? (a) -2\/185 (b) x (c) 1\/5 (d) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 7 = -n + 23, n - 8 = z. Let v(a) be the third derivative of a**5\/6 - 5*a**4\/24 + a**3\/6 + a**2. List the prime factors of v(z).\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 7. Let x = -5.04 - -0.04. What is the third biggest value in 0, x, i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 342.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**7\/21 - 43*o**6\/30 - o**5\/20 + 4*o**4 + o**3\/2 - 3*o**2 + 4440*o. Find the third derivative of g(v) wrt v.\nAnswer: 120*v**2 - 1032*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gd when two letters picked without replacement from {o: 2, h: 1, c: 1, g: 1, d: 5}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140 and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 2179427 + 4750573. Suppose g = -0*o - 7*o. What is o rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11638, -23288, -34938, -46588, -58238?\n\"Answer: -11650*g + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 5 - 29 + 32904*l.\nAnswer: 32904*l - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/6 and -9\/1142.\nAnswer: 3426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - 1770938?\nAnswer: -1770964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = c, 0 = -5*c + 2*u - u + 26 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 2. Suppose -5*h + 2 = t + 10, o = -h - t. Suppose -5*j + 4*v - 22 = 9, -j - 4*v = -13. Put j, 2, h in increasing order.\nAnswer: j, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + -1*-1*sqrt(110))\/(1*sqrt(10)*1).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 123 + -1 + (-11 - 3) + 2?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/14)\/((-154)\/(-1617)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -105 (base 12) to base 5\nAnswer: -1044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -251 and -0.1?\nAnswer: 250.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0788 + -0.078801318. Round r to 7 dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a - 56. Let w be v(25). Suppose -w*x + 270 = -302. Calculate the remainder when 973 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5*f. Suppose -5*v - 3*p + 17 = -2*p, -v + 7 = 2*p. Suppose -2*i = v*i - 10. Let j(u) = 2 - 2 - u - i*u. What is l(j(t))?\nAnswer: -15*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 6*t)*(-7*t + 37 + t - 42)*(-8 + 1 + 0) to the form c + x*t + b*t**2 and give b.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d*i**3*n + d*i**3 + 8*d*i**2*n - 9704*d*i**2 - 25*d - 2*i + 490823*n wrt n?\nAnswer: d*i**3 + 8*d*i**2 + 490823","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 12073, 48536, 109303, 194374, 303749, 437428?\n\"Answer: 12152*r**2 + 7*r - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 41.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.5 plus -167148875?\nAnswer: -167148881.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttgkktctttc. What is prob of sequence gc?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124012*q - 248022*q + 124009*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1247*r**4 - 3*r**3 - 2*r**2 + r - 10794 wrt r.\nAnswer: 14964*r**2 - 18*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011001 + -1100010000100?\nAnswer: -1100110011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of i**3 + 7. Let g(q) be the third derivative of q**5\/30 - 2*q**2. Give k(g(h)).\nAnswer: 12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4964996 from 3593376.\nAnswer: 8558372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 6*c + 1. Let q(g) = -g - 3. Let r be q(-6). Suppose -4*w = r*m - 7, -2*w + 3 = -m + 12. List the prime factors of l(m).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 817 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -r**7\/13860 + r**6\/660 - 3*r**5\/220 - r**4\/12 - r**3\/3 + 177*r**2. Let j(g) be the second derivative of n(g). Factor j(s).\nAnswer: -2*(s - 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3750000 to the nearest 100000.\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 504 and 144.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3426.\nAnswer: 2, 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 73874711 to the nearest integer?\nAnswer: 8595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/6 - 23\/30. Which is bigger: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 148 = -134. Suppose -f*o + 9608 - 2394 = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 1 = -2*b + 11, 4*b + 3*p = -2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.091 + 1.081. Let h = -4.9 - j. Which is the smallest value? (a) 0.1 (b) h (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 6:48 AM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2)*r)\/r**(-1\/4))**20*(r\/r**(1\/4))**47\/(r**5*(r\/(r\/r**(-6)))\/r) assuming r is positive.\nAnswer: r**(169\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 22 = 4. Let l = 0.24 - 0.2. Which is the second biggest value? (a) j (b) 2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.5 + 1.9. What is the closest to 1 in 2\/11, -5\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or -61851?\nAnswer: -61851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9178, 18316, 27454, 36592?\nAnswer: 45730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.2, -5, 4 in ascending order.\nAnswer: -5, -3, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -9 - 1 - (5 + -19)*(-2)\/(-4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17602547?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c + 3*c - 2*c)*(-7 + 2 + 3)*(-3108*c**2 - 4337*c**2 + 758*c**2) to the form k*c**2 + s*c + r + o*c**3 and give o.\nAnswer: 13374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 16*s + 5. Let g be c(-11). Let h be 6\/(-45) - (-98)\/g. What is the second biggest value in h, 0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18980 and 2210?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of g**6\/30 + g**5\/5 + g**4\/3 - 43*g + 27. Let v(z) be the first derivative of p(z). Let v(h) = 0. Calculate h.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 37*v + 2. Let r = 40 + -39. Suppose b = r + 3. What are the prime factors of z(b)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2775)\/(-32745))\/(25\/10)\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 2*k**2 - k - 1. Let d(y) = 2*y**2 + y. Let b be d(2). Suppose -4 = b*t - 6*t. Let c be p(t). Solve -5*r + 5*n - 15 = 0, c = -n - 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5494149 micrometers to centimeters.\nAnswer: 0.00005494149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.014 (b) -7 (c) -4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27802040156.9 - 59.4.\nAnswer: -27802040216.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 334494263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.7827615 + -5.63277. Let u = 3.85 + w. Round u to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -17 (b) 0.053 (c) -437 (d) 0 (e) 2\/23 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 15*k = 15. Solve 5 = -k*v - 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1927 is divided by 109.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 650302?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -o**7\/14 + 9*o**6\/10 - 18*o**5\/5 + 5*o**4 - 186*o. Factor s(j).\nAnswer: -3*j**2*(j - 5)*(j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 8*z = 4*z - 3, -5*z = 5*h - 5. Suppose 0 + 2 = l - 2*n, 0 = 3*l - n - h. Suppose -4*y = -5*y - 1. Are l and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 426536, 426552, 426566, 426578, 426588?\n\"Answer: -i**2 + 19*i + 426518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -15 + 3*w**2 + 5*w**2 + 3*w**2 + 2*w. Let m(s) = 2*s**2 + s - 1. Let f(l) = -6*m(l) + 3*r(l). What is the derivative of f(p) wrt p?\nAnswer: 42*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: 250\/(-75) + 4 + -1\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-296)\/16 + 1\/2. Let v be ((-99)\/k)\/(1\/2). Let y be (v\/(-22))\/(2*-1). Is -0.03 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -9*l**2 - 30*l. Let c(d) = 2*d**2 + 6*d. Let n(o) = 24*c(o) + 5*x(o). Let k(s) = -4*s**2 + 7*s. Let b = 15 + -10. Calculate b*k(h) + 6*n(h).\nAnswer: -2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n - 2*n**4 - n**3 + 3*n**2 + 2*n**3 + n**3 as g*n**2 + j + c*n**3 + t*n + d*n**4 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -b**6\/180 - b**5\/120 - 8*b. Factor c(l).\nAnswer: -l**3*(l + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -630 = 2604*b - 2674*b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26\/21 - 11\/7. Let l = -276831\/5 - -55366. What is the nearest to -1 in h, l, 2\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 671944?\nAnswer: 2, 7, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -586008, -2, 1 in increasing order.\nAnswer: -586008, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 3*j**2 + 9*j - 27. Let v be u(3). Which is smaller: -62 or v?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -645*q + 319*q + 327*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7337, -8900, -11505, -15152, -19841, -25572?\nAnswer: -32345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 830 and 2112470?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1212 = -f - 18*f - 183*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, k: 1, t: 3, y: 1}. Give prob of picking 1 k and 1 g.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2333.8995 months?\nAnswer: 19.4491625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 11 = -3*v - 4*i, -2*i - 23 = 5*v. Let l(z) = -z - 5. What is l(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, -107, -337, -659, -1055?\nAnswer: -1507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + w. Let k be r(2). Let m(d) be the third derivative of d**6\/60 - d**4\/12 - d**2. What is m(k)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.19308454 and 549.\nAnswer: 549.19308454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 4*o**2 + 3*o + 2. Let b be d(-5). Suppose 0 = -5*i + 2*i - b. Suppose 15 = 3*h, -3*k + 10 = -k + 4*h. Sort 1, k, i in decreasing order.\nAnswer: 1, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + b + 1)*(4 + 2 - 4) - b + 1 - 1)*(-2*b - 3*b + b)*(-11*b + 5*b - 12*b)*(-b - 3*b + 3*b).\nAnswer: -72*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*d, 0 = -5*k - 0*d + 4*d - 41 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5 + 137*g**4 - 278*g**3 + 2*g**2 + 277*g - 139.\nAnswer: (g - 1)**3*(g + 1)*(g + 139)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -30*w**3 + 6*w**2 + 87*w + 713. Let l be t(-7). What is the greatest common factor of l and 167?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4*w - 13. Let o(c) = 10*c - 38. Let s(z) = -3*o(z) + 8*v(z). Let q(k) = -9*k - 42. Let m(a) = -5*q(a) - 21*s(a). Let g(t) = 16*t. What is m(g(x))?\nAnswer: 48*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -390, -1548, -3468, -6150, -9594, -13800, -18768?\nAnswer: -24498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h - 1. Let a be l(9). Let k(u) = -u**2 - 10*u + 3. Let w be k(a). Suppose f = -5*p + 12, -w*p - f = -4*p + 6. Solve 0 = -5*t - p - 7 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355671 rounded to the nearest ten thousand?\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, k: 1, s: 5, m: 2}. What is prob of sequence ks?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -3*h - 20 + 18, 0 = -5*h - 4*b - 18 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 166\/10 - (-3 - (-18)\/5). What is the second derivative of -163 + 211 - i**3 - i + h*i**4 - i wrt i?\nAnswer: 192*i**2 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0918 in -0.1, 5, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 292*m + 0 + 3 - 289*m - 2*m**2. Give h(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*a = -2*a + 10, 4*f + 2 = a. Suppose 3*n = -f*n + 12. Solve 3*l - 18 = 2*l - 4*o, n*o - 8 = 4*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-16)*(-280)\/50)\/(3\/(-60))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-11 - -15) + (0 - -5).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**2\/3 + 68*a = 0. What is a?\nAnswer: 0, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 4:54 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (1 - -6) - (0 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 22 = u. Let v(d) = d**3 + 5*d**2 + 7*d + 4. Let r be v(-4). Let k = u + r. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1500)\/1375*1\/(-3).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 1:52 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1 + (sqrt(180) + (sqrt(180) + 1)*5 - (sqrt(180) + -1 + -3))) + (((sqrt(180) - (sqrt(180) + 0 + 1)) + sqrt(180))*-1 - (sqrt(180) + 0 + 5)*-1))**2.\nAnswer: 9120*sqrt(5) + 73444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000111320534 rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r\/(r*r*r**(-1\/15))*r)\/(r\/(r\/r**(3\/8)*r*r)) assuming r is positive.\nAnswer: r**(443\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18468*v + 18457*v + 231 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -70*k + 1025. Let v be l(14). Solve -5*j + v = -5*p - 0*p, 3*p = 5*j - 39 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 697870223 to the nearest integer?\nAnswer: 26417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 553*t**3 + 546*t**3 - 1639*t**3 + 556*t**3.\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of h**5\/30 + 7*h**4\/24 + 5*h**3\/6 - 2*h**2 + 14*h. Give q(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 23 = -2*p, -x - x - 5*p = -5. Solve 0*a + x*a = -10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 6 - -8 - 7) + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 times 5.2\nAnswer: -0.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/1412840 and 46\/377.\nAnswer: 40972360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (57 - -4) + ((6 - 3) + -6 - -2).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(102)*-6)\/(-4*sqrt(42)\/sqrt(7)*1).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -1864694\/3 and -621565 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5776\/532)\/(1\/7). Suppose -57*d + t*d = 2261. What is the highest common divisor of d and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 27. Suppose -y = -2*d + 5. Solve b + 3*b + d = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 5*u**4\/4 + u**3\/3 - u**2\/2 - u - 33. What is h(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3430 = -5*z, 117 = 5*o - z - 3337. What is the remainder when o is divided by 47?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 8*i - 690. Suppose 0 = c + 4*c + 2*k - i, 4*k = 2*c - 36. Calculate the smallest common multiple of c and 7.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15377568.\nAnswer: 2, 3, 160183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -15*b - 43. What is l(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 81 + 3059. Let m = -1474 + z. Suppose m = 4*d - 218. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13977 by -172.\nAnswer: 13977\/172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 9, -13.4, 2\/125, 4, 5?\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 75\/84 - (-2)\/8. Let q = 287363 + -287357. Is q at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 6:29 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from ggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -0.3, 0.0576?\nAnswer: 0.0576","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/6 - (-14)\/6. Suppose -r = -q + 1. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 13*w = -r - 26, 0 = 5*w - 5*r + 50 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(10)\/(sqrt(50)\/(sqrt(40)\/sqrt(4)))*1 + -5.\nAnswer: -3 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmxmxmmmxmmm. What is prob of sequence mmx?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k. Let j be l(1). Suppose r = 3*d - 16, -2*d + 3*r + 15 = -j*r. Let b(u) = -3*u**2 + 6*u - d*u + 0*u**2. Let a(t) = -t. Determine b(a(s)).\nAnswer: -3*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 313, 311, 309?\nAnswer: 307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 16 + (-4 - (-13 + 31)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*k + 4*u + 41800 = 41732, 24 = -4*k - 2*u for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -28999180 rounded to the nearest 1000000?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*h - 4, 3*h + 8 = 4*n - h. Let j be (-2)\/5*(-1 - (n + -6)). Let m be 1500\/((-3075)\/(-1536) + j). Round m to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 1\/6 (c) -1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 1a964?\nAnswer: 1a960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 1 = -19*v + d, 0 = 5*v - 2*d - 10. Solve 0 = -v*m + 4*q + 28, m = 4*q - 8 + 30 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2776 and 3105997.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 20 = -2*i. Suppose 0 = i*g - 7*g + 2*q + 36, -13 = -g + q. Calculate the least common multiple of 26 and g.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from genlzlnnnlln.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 4. Suppose -89575 = -i*a - 5*a. Suppose -6*y = -p - y - a, p + 17885 = -5*y. Round p to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344570 (base 8) in base 15?\nAnswer: 24a77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 37 = -c. Suppose -2*f + 149 = -c. What is the remainder when f is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/21 in 3, -12, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 137 (b) 0 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 26, 0, -3\/4, 105?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 384*g - 3439 + 1135 = 0. Solve 6 = -39*m + g for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -794 - -790. Let r(l) = -l**3 + 4*l**2 - l + 4. Let t(b) = -3*b**3 + b**2 - b + 2*b**3 + 3 + 2*b**2. Let a(m) = w*t(m) + 3*r(m). Give a(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3 - 3 - 172*m - 3608*m**3 - 2*m**2 + 3873*m**3 wrt m?\nAnswer: 1590*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 556646 + -153?\nAnswer: 556463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - g - 4*g = 1, 2*w - 13 = g. Suppose 5*u + 70 = 2*k + 3*k, 0 = 4*u + w. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122 = -122*j - 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-43580)\/120)\/((-13)\/(-78)). What is h rounded to the nearest one hundred?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7*2\/(-5 + 3). Let w = n + 11. What is the smallest common multiple of ((-1)\/2)\/(-1)*22 and w?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -q + 5*z, -2*z = 4*q + 987 - 967 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (8 + -15 - (5 + -20)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 87*r**2 - 17*r - 26. Let u(z) = -29*z**2 + 6*z + 9. Calculate -6*g(i) - 17*u(i).\nAnswer: -29*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.53 or 1729\/2?\nAnswer: -3.53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 0. Suppose -k*w + 0*w = 0. What is the units digit of 3\/(3\/5) + w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -708500 times -2?\nAnswer: 1417000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, i: 12}. Give prob of picking 4 i.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**2 + 14*a**2 + 400 - 402 - 254*a.\nAnswer: 14*a**2 - 254*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4*k - 14 = 0, 5*x = -7*k + 4*k + 35. Suppose 16*t - 7 = -x. Which is bigger: -1\/417 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (62\/(-6))\/(2 + (-129)\/63)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -4, 0, 288, -17, 6 in decreasing order.\nAnswer: 288, 6, 1, 0, -1, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 11010011001100?\nAnswer: 11010011010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 5*l - 0*r - 25, -l = -r - 12. Suppose 6*f + 3 = l*f. What is the remainder when 10 is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 38253563 and 0.05.\nAnswer: 1912678.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - l**2 + 1. Let s = 10876 + -10767. What is the remainder when s is divided by p(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/981 or 1?\nAnswer: 2\/981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j\/j**(5\/13)))**13\/((j*j\/j**(-14\/13))\/(j\/(j\/(j\/(j**(-11)\/j))))) assuming j is positive.\nAnswer: j**(363\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 21175937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 27760109, 55520222, 83280335, 111040448?\n\"Answer: 27760113*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1190 - 8356*y - 276*y**4 + 8359*y - 66*y**4 + 30*y**4 + 353 with respect to y.\nAnswer: -1248*y**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -24, -2\/3, 0.2 in descending order.\nAnswer: 0.2, -1\/5, -2\/3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 102640297, 102640296, 102640287, 102640264, 102640221, 102640152, 102640051, 102639912?\n\"Answer: -i**3 + 2*i**2 + 102640296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/10)\/(((-1004)\/(-41415))\/(8\/18)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54585?\nAnswer: 3, 5, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 28*y**2 + 2*y**3 + 12 - 5*y**2 - 3. Let r be f(-23). Solve 2*c = -c + r for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from abbgbbabgaggaaaagbb. Give prob of picking 4 g.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13856 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 j when four letters picked without replacement from gjjrzzjjzzzzz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 m when three letters picked without replacement from tttttjttaajtjmtmtttt?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 27*l - 7. Let u(d) = -28*d + 7. Let q(o) = 4*a(o) + 3*u(o). What is the derivative of q(m) wrt m?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 2*y**3\/3 + 3*y**2\/2 - 9*y - 4. Let n be l(-4). Solve u + 29 = 5*c, 7*u = 3*u - c - n for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 447\/178 or 4?\nAnswer: 447\/178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(1\/(-1))*6\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 5*o - 65, -5*o + 26 = -3*o - 2*k. What is the remainder when 22 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-8) - (-69)\/6. Suppose -6*j + 7*j = 0. Suppose 4*i - h = -j*i. Solve o + 0 = a + 3, -4*o - i*a + 26 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 8*h**2 - 3*h - 8. Let k be g(-8). Solve 21*u - k = 17*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/6 + 80\/15. Suppose l*n + 4*j - 321 = 0, -3*j = n - j - 63. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315 is divided by 107.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a**3 + 19*a**2 - 6*a + 2. Give o(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6.1 times -0.204\nAnswer: 1.2444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3908917 and 367?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 15*i**2 + 13*i + 128. Let x be f(16). Round x to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000162738 to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63.4 + -64. What is the second biggest value in 1\/2, z, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 156177 by -50.\nAnswer: -156177\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wzwjjsjzzzzjwwj. What is prob of sequence wsjz?\nAnswer: 5\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1299*f**5 - 707*f - 466*f**3 + 2530*f + 1301*f**5 wrt f?\nAnswer: 40*f**3 - 2796*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -z**5\/70 + 2*z**4\/21 - 4*z**3\/21 - 22*z. Suppose x(f) = 0. What is f?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*i**3*y - 21*i**3 + 9*i + 1881*y + 4 with respect to y.\nAnswer: -14*i**3 + 1881","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.12 - 9.88. Let h = -5 - d. What is the biggest value in -0.1, -1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003779 rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -12496 greater than -12496?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -514 + 513 + ((54\/(-15))\/3)\/(10\/(-325))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*((-24)\/108 - (-212)\/(-18)). Let u(y) = y**2 + 10*y - 14. Let g be u(d). Calculate the highest common factor of g and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 19\/24 (c) 10 (d) -2\/15 (e) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15798.000020912 - 15798. What is f rounded to 7 decimal places?\nAnswer: 0.0000209","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 8\/5, -5, 3\/2, -10 in ascending order.\nAnswer: -10, -5, -0.01, 3\/2, 8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -124.236671 rounded to two dps?\nAnswer: -124.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 483468192 a multiple of 3488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 7*v**3 + 3*v)*(5*v - 2*v - v + (0*v - 2*v + 4*v)*(3 + 2 - 4) - 2*v + v + 0*v).\nAnswer: 21*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -82 + 5*k + 2*k**2 - k - 2*k**3 + 81 - 2*k + 0*k. Calculate g(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 14 = -0*i + 3*i, 3*h + 5*i - 5 = 0. Let n = 5 - 0. Calculate the highest common factor of h and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2710+-69.472\nAnswer: 2640.528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 88 - 49. Let p = -40 + g. Is -7\/20 at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 725 is divided by 173?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100502355 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**3 + 3 - 3)*(p + 0*p + 0*p + p - p - p + (-p + 4*p - p)*(4 - 3 + 0) - p + p + 2*p + 55*p - 159*p - 70*p).\nAnswer: 510*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 141, -4, 5, -5 in descending order.\nAnswer: 141, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35809 (base 14) to base 12.\nAnswer: -63669","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 600760 and 3496?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -3*p - 3*z, 1 - 16 = 2*p - 5*z. What is the common denominator of p and -41\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(22)*2*-2)\/(sqrt(2) + sqrt(6)\/sqrt(3)*-6))**2.\nAnswer: 32*sqrt(11)\/5 + 576\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 95 = -1027*k + 1042*k, 65 = -5*k + 5*c for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/5 of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k**2 - 9*k - 9. What is z(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1205 and 138969517?\nAnswer: 694847585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afkft. Give prob of picking 1 a and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**3 + 2*t - 5. Let m(i) = -4*i**3 - i + 4. Let y be (-5)\/((-9)\/3 + 2). Let q(k) = y*m(k) + 4*z(k). Find the second derivative of q(p) wrt p.\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - 0 - (3 + -5). Suppose s + f*s = 704. What is the greatest common factor of 16 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5*(sqrt(931) + -4)**2*-4 + 2)*-5.\nAnswer: -11200*sqrt(19) + 189380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 3:20 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p - 4. Let k be d(5). Calculate the least common multiple of 1 - k - (0 + -1) and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -417845769500721 plus 1?\nAnswer: -417845769500720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/6)\/(6 + (-80)\/15)*1. Let f = 2 + 0. Which is the nearest to f? (a) 5 (b) 3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8057\/(-32228) + -1 + (-31)\/4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 42*p**2 - p + 2. Calculate w(1).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - o + 5. What is the units digit of a(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13c756 (base 14) to base 3.\nAnswer: -1021221000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 3*l - 27. Let z be -3*((-87)\/l - 1). Let v be (-82)\/z + 4\/(-26). Solve 0 = -2*f + 3*u + 7, -2*f - 5*u + v = 2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 131107 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000071637614 rounded to 6 dps?\nAnswer: -0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/4, 333, -2\/49?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 253\/115*(-35)\/((-4620)\/72).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 + 16400*f + 279956.\nAnswer: -4*(f - 4117)*(f + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-2)*(-2 - -10). Suppose -4*j - 3 = 4*o + 5, 0 = -v*j + 2*o + 22. What is the tens digit of 1\/j - (-53)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 0 - (10 + (-395)\/45)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -0*c - 3*c. Let v = 17 - c. Suppose -130*y = -127*y - 21. Solve 3*p - y - v = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**3 - 40*f**2 + 165*f + 102. Let p be k(20). Calculate the greatest common factor of p and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**4 - 677*d**3 - 8*d**2 + 59*d wrt d?\nAnswer: -24*d - 4062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, m: 4, x: 2, f: 4, s: 1, r: 2}. Give prob of sequence ft.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (69\/(-1012))\/((-2)\/(-72)) and 56\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 3*k**2 + 8*k + 9. What is t(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of k**3\/6 - k**2\/2 - 684*k. Let s(q) = -4*q. Give -s(d) + 2*z(d).\nAnswer: 6*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 689.1395kg to micrograms.\nAnswer: 689139500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 75419 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07 and 92?\nAnswer: 6.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4adc (base 15) to base 3.\nAnswer: -210220000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*b - 1. Solve -l - b*l = -5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.751811 rounded to three dps?\nAnswer: 0.752","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 543316.\nAnswer: 2, 135829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2309 + -2318. What is the nearest to -4 in 5, 3, -3, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -37 and 15.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -206071, -412140, -618209, -824278?\nAnswer: -1030347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287 is divided by 30.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/13? (a) -0.4 (b) -1 (c) -0.2 (d) -6 (e) 6163 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -243, -4\/7, -226, 2\/11, 0.2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 28. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -74, -75, -76, -77, -78, -79?\n\"Answer: -m - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - 26. Let u(k) = k + 0 - 2 - g - 3*k. Let o be u(-5). Solve -d = o*d - 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*u - 11*u - 918. Calculate the remainder when 234 is divided by (-5 - -10)*u\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12293713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xm when two letters picked without replacement from {x: 1, m: 1, g: 1, t: 12}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63895 = -3575*o + 2592*o for o.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6012 divided by 3?\nAnswer: 2004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 162867763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 146496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 4. Let z(p) = -21*p - 1. Is 15 a factor of z(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 84130.056 nanoseconds?\nAnswer: 0.00000002336946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + -1 - -4) + -20 - (-30 + 0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 684, 678, 672, 666, 660?\n\"Answer: -6*u + 690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.127579 - 0.127633387. Round q to 6 decimal places.\nAnswer: -0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -69*a**2 - 5907*a - 17100 = 0?\nAnswer: -1900\/23, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*p**3 + 1002*p**2.\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 - ((-22 - -46) + -36)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a. Let d(s) = 279*s**2. Give d(j(g)).\nAnswer: 1116*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5*c + 676 - 87 = 0, -2*m - 5*c = -287. Let l(d) = -3*d**2 - 16*d - 1. Calculate the remainder when m is divided by l(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -21\/4*k**4 - 3*k**2 + 0*k**3 - 162 + 71*k. What is the first derivative of y(i) wrt i?\nAnswer: -63*i**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.253 in -5\/3, 2.624, -20?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8808373 is divided by 63.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 17*o - 34. What is j(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) - (sqrt(95) + (sqrt(95) - (sqrt(95) + 2*sqrt(95)))))\/sqrt(5) + -3 + sqrt(19) + 1)**2.\nAnswer: -12*sqrt(19) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -32700 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8, -11, -12, -11, -8?\n\"Answer: s**2 - 6*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1129089*n**4 - 153385*n**2 - n wrt n?\nAnswer: -27098136*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 0*i + 150 - 106 = 5*o, 0 = -5*o - 4*i + 101 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 1. Let v(d) be the first derivative of -2*d**3\/3 + 2*d - 1. What is -5*r(o) + v(o)?\nAnswer: -2*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1\/9, -3, 2\/5, 18.\nAnswer: -3, 0.1, 1\/9, 2\/5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 386.1 less than -2.884613836?\nAnswer: -388.984613836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -302, -278, -254, -230?\n\"Answer: 24*t - 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.3, 0 in ascending order.\nAnswer: -0.3, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k - 2*k + 12*k**2 + k + 41*k**3.\nAnswer: 41*k**3 + 12*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00288243 to four decimal places.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 - 2*y**3 + 0*y**2)*(3*y - 4 + 0 + 1) + 2*y**4 + 0*y**4 - 3*y**4 + (3*y**3 - 5*y**3 + 0*y**3)*(3 - 2*y - 3) - 293*y + 42*y**4 + 293*y.\nAnswer: 39*y**4 + 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/1708175 and -137\/348467700.\nAnswer: 348467700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((10\/8)\/((-2)\/(-4)))\/(2150\/(-15480))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -989 - -993. Let s = 8 + -9. Which is the nearest to s? (a) j (b) 1\/4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/(-2) - (-266537)\/106?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*f**2\/11 - 1334*f\/11 + 140\/11 = 0. Calculate f.\nAnswer: 2\/19, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 0.1 (c) -3\/5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*i - 69375 = 103*i. Is i a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -166 by 83.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 255 + 51*y**3 - 255 + (y**3 + 0*y**3 + y**3)*(3 - 2 + 0) to i*y + k*y**3 + f + t*y**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + p + 23. Let c be q(0). Solve -3*u = -4*r - c, 5*u - 40 + 7 = 4*r for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 390 and 56586.\nAnswer: 3678090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1294 divide 77293208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -1671134.\nAnswer: -3\/1671134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 4*f**2 - f. Let n be o(-1). Let a(y) = -6*y + 29. Let g be a(4). Let u = n - g. Solve -2*j + 3*p + 4 = u, 4*j = p - 4*p - 10 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 415 (base 11) to base 7\nAnswer: 1313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-3)\/(-6)*1). Suppose -s - 3 = v. Is 1 - 3 - 45\/v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18696*k**3*z - 3*k**2*z + 7599*k*z wrt k?\nAnswer: 112176*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 46492211?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -3, 1\/5, 2\/7, -679?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m + 4. What is l(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-3) - (4 - (-35816)\/(-24)). Suppose -156*s + 150*s = -f. Calculate the remainder when s is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 520195 is divided by 1018.\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cbe when three letters picked without replacement from bbegbbyc?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1690 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 522, 863, 1214, 1581, 1970, 2387?\nAnswer: 2838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4815.2 - 4815.241786. What is s rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -g**6\/160 - g**5\/40 - 5*g**2. What is o in l(o) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1089739.9 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -711624 + -1659676. What is p rounded to the nearest one hundred thousand?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/2))**(1\/22)\/(z**(-1)*z)**(-1\/44) assuming z is positive.\nAnswer: z**(-1\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011110 - -1000?\nAnswer: 1100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (62 - 0) + -67 - (8 + 0 - -1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 5*p - 161. Calculate y(14).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23426 and 544?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33)*-1)\/sqrt(3) + -2)**2 - 4*1*sqrt(33)\/sqrt(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2187) + sqrt(2187)*2*-2)\/(-1*sqrt(27)\/sqrt(3) + sqrt(36)\/sqrt(4)*2).\nAnswer: -27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**(-2)*b*b)\/b**(-2\/15)*b**8\/b*b*b**8)**29 assuming b is positive.\nAnswer: b**(7888\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -15029645.5 and 0.025787.\nAnswer: -15029645.474213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.5, -1, 3, -3\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 6*q - 1. Suppose 2 = -9*v + 11. What is u(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8371363 is divided by 769.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 143*r - 5*r - 1932 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = 16*q - 1068. Suppose -3705 = -4*b + q. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57338.08 litres to millilitres.\nAnswer: 57338080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2037 is divided by 19.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5263 rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50 + -48. Let y = -61 + 425\/7. Which is the third biggest value? (a) d (b) 0 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(18) + (sqrt(162)\/(sqrt(9)*1) - sqrt(18)) + sqrt(18))\/(sqrt(9) + 1*sqrt(144)))**2.\nAnswer: 33\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 5 (c) -16\/63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 968 = 2*c, 4*y + 548 = -5*c - 414. Are -243 and y non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b**2*p + 8756*b**2*z + 57*b*p - 6*b*z + 2*b + 2*p*z wrt b.\nAnswer: -6*p + 17512*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 - 143\/5. Let d = 29.4 + -29.4. Suppose 2*m - 3 = m. What is the second biggest value in d, j, m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, y: 2, v: 9, u: 3, h: 1}. Give prob of sequence hup.\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 7*n**2 - 5*n + 7. Let k(d) = d + 3. Suppose 3*o + 213 = -2*g, 3*g + 79 = 2*g + 4*o. Let j = g + 90. Let w be k(j). Determine a(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 138, 241, 344?\n\"Answer: 103*g + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 8 = -2*r, -6 = -5*r + 2*j - 3*j. Let c = 5.2 + -10. Let y = -1.8 - c. Sort r, y, 0.1.\nAnswer: 0.1, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 7*c. Let a(i) = 3*i**2 + 6. Let d(x) = x**2 - 1. Let k(y) = -a(y) - 6*d(y). Calculate m(k(b)).\nAnswer: -63*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 96315497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/60 and -107\/240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8559181?\nAnswer: 8559181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in -3, -2, -13452, -0.59?\nAnswer: -0.59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -41271, -158494, -353859, -627360, -978991, -1408746, -1916619?\n\"Answer: v**3 - 39077*v**2 + v - 2196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 22*w**2 - 8*w + 15. Let v be s(4). Calculate the greatest common divisor of 134 and v.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0*z - 42 = 5*z, -p = -4*z - 38. Let l(o) = -o**3 - 6*o**2 - 6*o - 3. Let n be l(-6). What is the highest common factor of n and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3700 divided by 20?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -23312 (base 5) in base 14?\nAnswer: -89d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/188?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 848, -5, 5, 8, 2 in decreasing order.\nAnswer: 848, 8, 5, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 99549.787 rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (39\/(-13))\/(2*(-1)\/(-2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(7\/((-7)\/2)). Suppose -6*j = -0 + 12. What is the remainder when 30 is divided by h + j - 2 - (0 - 10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8 and 0.189.\nAnswer: -7.811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-13)\/(-13)*6\/4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 4*u + 2, -2*b = -0*b - 4*u - 6. Sort 4, b, -2\/9 in decreasing order.\nAnswer: 4, b, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58024\/(-2770646))\/(4\/(-2)).\nAnswer: 2\/191","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12702765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0516106569 rounded to 4 dps?\nAnswer: -0.0516","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 4*f - 10. Let q be k(7). Let n = -8 + q. Suppose -4*w - 2*j + 6 = 0, 3*w - 20 = j - n. Calculate the smallest common multiple of 5 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(-1\/2)))**46)**(-28\/9) assuming w is positive.\nAnswer: w**(-644\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 + 6. Let o(t) = 2*t + 4. Let u(a) = 25*a - 43*a + 1039 - 1063. Let c(h) = 6*o(h) + u(h). Determine x(c(z)).\nAnswer: 72*z**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + sqrt(98) + 1).\nAnswer: -24 + 42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -277?\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37321\/8 - 4673. What is the common denominator of -4\/59 and p?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 14*n**2 + 47*n. What is i(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 440 and 46367992?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h**3 + 17*h**3 + 5*h**3 - 3*h**3.\nAnswer: 25*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28.816 - -29.147139. Let r = p - 0.331. What is r rounded to five decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 28*b + 24*b = -24, 0 = -5*b for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n + 3. What is the remainder when b(-4) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-6)*((-1692)\/987)\/(3\/3*1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -5*s + 15*s. Let v = 11 - s. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 9*k**2 - 4*k - 16. Let s be n(7). Let y = 22 - s. Let w = y + -108. What is the highest common divisor of 7 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00513 to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -162*z - 2. Let i be (12\/(-10))\/(9\/30). Let x be o(i). Suppose -5*c - 154 - x = -3*f, -f + 5*c = -260. What is f rounded to the nearest 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29064 and 8477?\nAnswer: 203448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/6)\/j**(-2))\/((j**1*j)\/j)**(3\/16))\/((((j**(-2\/3)\/j)\/j)\/j)**19*(j\/(j*j**(1\/6)))\/(j*j\/(j*j**(-1\/4)))) assuming j is positive.\nAnswer: j**(3491\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/253 in 1\/3, -37, -0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -3174038.9\nAnswer: -1269615.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 251365760175 plus 0.1?\nAnswer: 251365760175.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -5*d + 37. Let x be c(11). Let u = -2878 - -11571\/4. What is the common denominator of ((309\/x)\/1)\/(-13 + 15) and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, 197, 573, 1107, 1805?\nAnswer: 2673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -48, 0.3, 3, -1233\/11 in ascending order.\nAnswer: -1233\/11, -48, -2, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 26*i**3 - 5*i**2 - 33*i - 312. Let j(c) = 45*c**3 - 9*c**2 - 58*c - 624. What is 4*j(t) - 7*o(t)?\nAnswer: -2*t**3 - t**2 - t - 312","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15781?\nAnswer: 43, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8645\/6 - -1811128\/1257. Let q = x + 2863\/419. Calculate the common denominator of 48 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 6*u + 75 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 622445070 to the power of 1\/3, to the nearest integer?\nAnswer: 854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 22*m + 18. Solve -4*t + m*u = -u + 28, 0 = 2*u - 8 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*t + 11, 2*z = 7*z - t - 13. Suppose z*b + b + 11 = 5*v, -v = -b - 1. Find the second derivative of -3*i**v + 3*i + 0*i**4 + i + 0*i wrt i.\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-93)\/(-2015))\/(12\/4*2*2\/(-30))?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 0)*10\/(-2). Let i(l) be the second derivative of 14*l**4\/3 - l**3\/6 - 5*l**2\/2 + 138*l. Let b be i(o). What is b rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 1\/41561?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*u + 531 - 3351 - 1689 = 0 for u.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 200 + 49. Let i(a) = v - a**2 - 238 + 0*a + 3*a. Let w be i(5). Solve -3*k + w = -4*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -l + 3. Let v = l - -12. Let y be (-2)\/(-7) - v\/21. Sort -2, y, -0.4.\nAnswer: -2, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 5*l**2 - 13*l + 30. Calculate the remainder when v(10) is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 28*i + 3 - 52. Solve 513 = i*j + 499 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5127880 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 160 + 15*s - 4*s + 64*s + 25*s - 52*s + 2*s**2.\nAnswer: 2*(s + 4)*(s + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3841626*p**4 - 16451064?\nAnswer: 15366504*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 887 - 882. Let h(g) be the first derivative of -6 + 1\/5*g**l - 1\/8*g**2 + 1\/16*g**4 - 1\/3*g**3 + 0*g. Find m, given that h(m) = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of j**4\/4 - 2*j**3\/3 + j**2 - 2*j - 3. Let n be w(2). Solve 4*s = -c - 1, n*c + 1 = -3*s + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(405) + 2*sqrt(405) + sqrt(405) + sqrt(405))*-3 + -1*sqrt(405)*4)\/(-1*sqrt(9)*-1 + sqrt(720)\/sqrt(5)))**2.\nAnswer: 3249\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (15\/(-45))\/((-20)\/(-3)). Let r = m - 73\/140. What is the closest to 1 in r, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 73667 and 41107.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1525 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -914355674, -914355673, -914355672?\n\"Answer: p - 914355675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 7*b**2\/2 + 2581. Let c(x) = 73*x. Determine c(u(j)).\nAnswer: 511*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 265643.13 months?\nAnswer: 221.369275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ezy when three letters picked without replacement from {z: 1, y: 1, e: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6727329611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6455 + -6452.5. Which is smaller: 18 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/1 - 12\/6. Suppose -p - 59 - 706 = -5*g, 0 = 4*g + u*p - 626. What is the greatest common divisor of g and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 1, 9, 31, 73, 141?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 2*w**2 - 2*w + 116. Let s(x) = -2*x**3 - 3*x**2 - 2*x + 116. Calculate -3*c(k) + 2*s(k).\nAnswer: -k**3 + 2*k - 116","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/((-216)\/129) - (-4)\/18.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-7 - (-4 + -10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 33*w**2 + 10*w + 4. Let b(g) = g**2 - 2*g. What is -5*b(i) - q(i)?\nAnswer: -38*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from wcgcggcgcwrcrowowccc.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4368 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13502575 by 2700515.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10 - (1*-4 + 2). Suppose -2*s - 3*j = -457, 8*s + j = 4*s + 889. Let i = -125 + s. What is the highest common divisor of i and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n**2 - 3. Let u(a) be the second derivative of -a**3\/2 + 11*a + 2. Calculate z(u(v)).\nAnswer: 36*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -6*r**2 + 11*r - 12. Let y be t(1). Let l(p) = -91*p + 173. Let w be l(y). Round w to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/2)*q**2)\/((q*q\/q**(-1))\/q)**34)\/((q**(-5\/6)\/q)\/(q\/(q**9\/q))*(q\/(q*q**(1\/3)*q))**(1\/3)) assuming q is positive.\nAnswer: q**(-641\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26945 + 29988. What are the prime factors of l?\nAnswer: 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30221300230 + 3?\nAnswer: -30221300222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(441))\/((sqrt(3) - -2*sqrt(3))*-1).\nAnswer: -7*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 2*y**5\/5 - 2*y**3 - 2*y**2 - 23. Solve q(v) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10300\/(-10815) + (-4)\/3.\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9, t: 5}. Give prob of picking 1 t and 1 n.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -14*s. Let a(m) = -3*m**2. Calculate a(h(x)).\nAnswer: -588*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 864 - 151 + 33 = -373*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -1 (c) 3 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/4)\/((-4)\/(-80)). Suppose -z = -5*p, -l + 5*p = 4*p. Solve -l*k = 2*k + 5*s - 25, -k + 3*s = -5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (543\/10812)\/(36\/128). Let l = p - 1\/477. Suppose -6*x + 12 = 6. Are l and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36695 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1708623611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 17 - 7 = -2*s, -3*a - 24 = -4*s for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-14*16\/36288)\/((-12)\/(-24))\nAnswer: -1\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-9))\/(546\/156)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 116 and 28?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-2\/3))\/n)**(-1\/3)\/((n\/n**(1\/2))\/n**(-7)) assuming n is positive.\nAnswer: n**(-139\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 18. Which is the closest to -0.2? (a) -9 (b) -24 (c) q (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 360d (base 16) to base 6\nAnswer: 144021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 21. What is the third biggest value in 0.1, 2, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 25*g**2 - 178*g + 2648. Let d be j(28). Calculate the greatest common divisor of 20144 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1072039642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -50*v + 3086. Is z(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160515164.\nAnswer: 2, 41, 53, 59, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -10*s**2 + 32. Suppose -6*n + 7*n + 2 = 0. Let i(t) = -2. Let r(q) = -q - 1. Let y(d) = n*r(d) + i(d). Determine l(y(c)).\nAnswer: -40*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*n = -181*n + 165*n - 2436 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -760, -2, -12 in decreasing order.\nAnswer: 5, 3, -2, -12, -760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 11 = 3*v, -19*o = -16*o + 3*v - 9 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1*5 - (-160)\/32)\/(-3). Let g(l) = -15*l + 245. Let b be g(y). What is the highest common factor of b and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/6*(2 + 2). Suppose r = -r + y. Let o = -5 - -12. What is the smallest common multiple of r and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1417112?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 5*v**4 + 1495*v**3 - 57740*v**2 - 31115140*v + 156829200 = 0.\nAnswer: -218, 5, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 10) in base 9?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**2 + 11*b - 21. Let z(k) = k**2 - 5*k + 10. Let q(n) = -4*a(n) - 9*z(n). Suppose 2*h - 5*x = 7*h + 10, -5*x = -h + 10. Determine q(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*m - 10*m + 9. Put m, -5, 5 in increasing order.\nAnswer: -5, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 11. Suppose -16*k + s*k + 4 = 0. Calculate the greatest common divisor of 3 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/209 and -42\/209.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -485*h**2 - 11639*h + 11. What is q(-24)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (-10)\/25 - (-6436)\/(-10). Let x = b - -3232\/5. What is j in -84\/5*j**4 + x*j + 84\/5*j**2 - 147\/5*j**5 + 27*j**3 + 0 = 0?\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.062 - 6.938. Let o = c - -6. What is the closest to o in 3\/2, 2\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (-1 - (-27 + -2))\/9. Which is smaller: -3 or f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64 + -7 - -2 - 26\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 3*f + 24, -5*f - 102 - 87 = 22*f + 6*f - 6*l for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 3*k + 1. Let t(v) be the second derivative of -5\/6*v**3 + 1\/10*v**5 - 1\/2*v**2 + 0 + v + 0*v**4. What is -5*j(q) - 3*t(q)?\nAnswer: -q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 211 + -142. Calculate the remainder when j is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -161049, -159819, -158589, -157359, -156129?\nAnswer: -154899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 18*b**3 - b**2 + 1. Calculate the least common multiple of g(1) and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -79, -86?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 - (0 + 4) - -3)\/2. Let l(k) = 3*k**3 - k**2 - 5*k + 1. Let n(u) = -5*u**3 + u**2 + 8*u - 2. Let j(w) = 8*l(w) + 5*n(w). What is j(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 + 2759935?\nAnswer: 2759935.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 1269?\nAnswer: 1269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3 - 2*p + 4*p + 5*p + 0*p + 2*p**2. What is the least common multiple of b(-4) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1640*b = 1670*b - 210. Solve -b*r - 21 = -0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (3 - 7 - (-1 - 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*j - 1 - 1 + 38*j + 8*j + 34*j in the form v*j + g and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j + 2. Let s be n(-1). Put -2, 4, s in decreasing order.\nAnswer: 4, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/3 + 45778*c\/3 + 274452.\nAnswer: 2*(c + 18)*(c + 22871)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-320)\/4928 - 4\/11?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68.8 + -953.8. Let v = -884.999996692 - n. What is v rounded to 7 dps?\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 201626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4730118 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7757036 + 11408836. What is y rounded to the nearest 100000?\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15371 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 2*k - 14. Let a be h(-5). Let n be ((-54)\/(-3))\/(a\/(-180)). What is n rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(7) + -1 - sqrt(7)) + -1)*-6)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3117\/4 - -779. Which is the smallest value? (a) -0.5 (b) y (c) 1\/2 (d) -7 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/6*(-8)\/25. Let l be 5*(-2 - (-26)\/10). Suppose -l*o + 7*o + 8 = 0. What is the closest to 0 in o, 0.4, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 516 is divided by 201.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(-1\/2)*l*l*l**4*(l\/l**(-5))\/(l*l**(-5)) assuming l is positive.\nAnswer: l**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 8*z**2 - 26*z + 280. Calculate m(9).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -83 + p + 83. Let n(q) be the first derivative of -4*q**3\/3 - 2. Calculate n(a(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 f when two letters picked without replacement from {i: 5, o: 11, f: 2, s: 1, x: 1}.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -6 - (2 + -4 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(75) + (sqrt(75) + 0)**2)*-3 + -2.\nAnswer: 75*sqrt(3) + 1123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 256, 3, 6, -1, 8 in increasing order.\nAnswer: -1, 3, 6, 8, 256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 1\/18, -2 in decreasing order.\nAnswer: 1\/18, -2\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7.48067 + 11870.5\nAnswer: 11877.98067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 7:16 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z - 3*z + 7*z)*(-3 + 1 + 0) + (4 - 1 - 1)*(-2*z - 3 + 3) + 256 - 256 - 14*z in the form m*z + a and give m.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.6, 0.05, 52, 3\/5 in decreasing order.\nAnswer: 52, 5, 3\/5, 0.05, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 33*q**2 - 96*q + 31. Is v(-30) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46607 = 5*k + 2*m + 46600, 5 = 6*k - m for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/85189 (b) -639 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2482668891 a multiple of 12277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.141 - 0.141. What is the biggest value in 42, f, -2\/7?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107074069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/299 and 109\/104.\nAnswer: 2392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -763 = -3*g - o + 121, 0 = -4*g - 4*o + 1192. What are the prime factors of g?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -l**4\/16 - 13*l**3\/12 - 23*l**2\/8 - 11*l\/4 + 605. Determine u so that i(u) = 0.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 4*z**2 - z + 9. Let j be m(4). Let u be (-1)\/(-4) - (-10)\/(-8). Sort j, -3, u.\nAnswer: -3, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -190*c**3 + 12*c**2 + 61*c - 133. Give f(2).\nAnswer: -1483","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -354*w + 222 = -5*n - 127, 0 = -3*n + 4*w - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 + -24. Do 3 and f have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -475*m**7\/21 + 2617*m**4\/4 + 142*m. Find the third derivative of s(l) wrt l.\nAnswer: -57000*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 40\/13, 1?\nAnswer: 40\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -5, 0.7, 0.02, 2, 0.\nAnswer: -5, -1\/2, 0, 0.02, 0.7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2. Suppose 89 = 5*t - 0*t + z, 2*t + 2*z = 34. Let u be (-4)\/t + (-40)\/(-18). Let c(k) = 8*k**u + 6*k**2 - 7*k**2. Calculate c(q(o)).\nAnswer: 7*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 414?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -6*m. Let s(l) = 52*l. Let r be (-3824)\/160 - (-2)\/(-20). Let t(y) = -2*y + 3. Let k be t(r). Calculate k*a(j) + 6*s(j).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17.085 and -0.4?\nAnswer: -6.834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-9 - 1) + (22 - (28 - 5)) + 9.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of i**3\/3 - 7*i**2\/2 + 7*i + 50. Let j be 118\/14 + 3\/(-7). Let w be a(j). Solve 3*t = 2 - 5, -2*h - w = 5*t for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrrrrrrkr. What is prob of picking 3 r?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13166 + 13358 = 64*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -8308*x**3 + 403*x**2 - 806*x - 403. Let g(a) = 124*a**3 - 6*a**2 + 12*a + 6. Determine 6*b(t) + 403*g(t).\nAnswer: 124*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16606*z - 13979 = -172366 - 821367 for z.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 496 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 132131013 (base 5) in base 4?\nAnswer: 2201132013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -7*x**4\/30 + 2*x**3\/15 + 8*x. Factor z(b).\nAnswer: -2*b*(7*b - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 q when two letters picked without replacement from qffadaf?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -79*d**3 - d**2 + 1. Is a(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159389 is divided by 159257.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 1\/4, 5060.\nAnswer: 1\/4, 3\/2, 5060","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*c - 60 = -2*c. Find the third derivative of 5*q**4 + 0*q**4 + 12*q**2 + 2*q**3 + 4 - 13*q**c wrt q.\nAnswer: 120*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 0) + -2 + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -2, -0.3, 92 in decreasing order.\nAnswer: 92, 37, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 573, 3 in increasing order.\nAnswer: 3, 23, 573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 3*a + 22, -2*c + 3*a - 50 = 3*c. Let q = c - -11. Suppose 2*d - n - 3 - 10 = 0, -2*n + 22 = q*d. Solve 2*k + r - d*r = 11, k = -2*r + 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 15*d**2 - 5*d - 3. Let b be q(-12). Let k be -2 + (-10588)\/(-18) - (-2)\/(-9). Let a = b + k. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 88.561\nAnswer: 17.7122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 3*a = 105. Let q(n) = n**2 + 10*n + 5. Let z be q(-4). Let p = z + a. Solve m = -p*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26443 (base 8) to base 14.\nAnswer: -42d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 184 and -4.\nAnswer: -736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*j + 16 = 4*a, -5*j = 25. Calculate the least common multiple of 36 and (5 - a) + -2 + (8 - -2).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 12, g: 1}. Give prob of sequence pgp.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 13*n**2 + 51*n + 330. Determine d(-14).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + -1 + -1 + 5*(sqrt(243) + -1 + sqrt(243) + sqrt(243)) - (5 + -4*((1 + sqrt(243))*-1 + sqrt(243)))) + -3)**2.\nAnswer: -5472*sqrt(3) + 62569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 171124139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*c - 4. Suppose -21 + 9 = -c*z. Suppose -k + 0*w + 4*w + z = 0, 4 = 4*w. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**3 - 216*m**2 + 895*m - 26. What is c(-112)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -225*x + 3149. Let h be p(14). Which is the closest to 0.07? (a) h (b) -5 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t + 10. Let s(r) = 1 - 2 + r + 3. Suppose -2*n + 2 = -2*b - 4, -3*n + 19 = -5*b. Let x be s(n). What is m(x)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 2*a**2 - 4*a - 7. Let v be u(-1). Solve 29*j - 39*j = v for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 9*m**2 - 5*m - 2. Suppose -2*h = 8, 4*r + 4*h = -0*r + 272. Suppose -39*n = -30*n + r. Determine a(n).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 divided by 14?\nAnswer: 669\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -5, 1\/5, -12 in increasing order.\nAnswer: -12, -5, -2, -1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**2 - 2*c**2 + 3*c**2 + c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -213 in -1\/8, 0.2, 630.2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164523455?\nAnswer: 5, 32904691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*i = -6*d - 40*i + 22, 4*i = -4*d + 20 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 20*y**2 - 13. Is j(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 1 - 1)*(-s + 3*s + 2*s) + 2*s - 5*s + 0*s)*(-6*s + 9*s + 25*s).\nAnswer: 28*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 3 (b) 2\/7 (c) 2\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x + 6. Let m be f(-11). Let z be 10\/m*(-2 - 0). Factor 1\/3 + 4\/3*d + 4\/3*d**3 + 1\/3*d**z + 2*d**2.\nAnswer: (d + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000091826516 to seven dps.\nAnswer: 0.0000918","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**2\/3 + 340*a\/3 + 13776 = 0?\nAnswer: -82, 252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**3*n + 7*c**3 + 48*c**2*n - c**2 + 6*c*n + 236*c + 6 wrt c.\nAnswer: 18*c*n + 42*c + 96*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**8\/168 - f**4\/6 - 14*f**2. Find the second derivative of g(j) wrt j.\nAnswer: 40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 530997.750289 + -530998. What is h rounded to 3 dps?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 5 = -4*u, 14 - 39 = 3*u - 10 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -386 + -16?\nAnswer: -39c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q - 30. Give f(-11).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-12)*(-3)\/(-2))\/(74\/(-6845)*-74)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 7:47 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-136)\/32 + 5 - (-20)\/240?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 132747 + -132759. Let d(p) be the second derivative of -p**5\/20 - 11*p**4\/12 + 2*p**3 - 7*p**2 - p. Calculate d(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + 2)**2*5 + 3 + -1 + sqrt(700)*-1*-5 + sqrt(700))*-5.\nAnswer: -6410 - 900*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/7, 12, -59371?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*z - 2 = -22, -4*p - z + 4 = 0. Suppose 2*w + x - 7 = 0, 0 = 5*w - 2*x + 5 - p. Suppose 241 = -h + w. Round h to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 157 in -5, 3, 1\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**2*d)\/d)**46)**(2\/15)*(d**(-7\/2)*d*d**(-1\/9))\/(d**(-1\/3)\/(d*(d*d**(-3))\/d)) assuming d is positive.\nAnswer: d**(1271\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 588353150 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 11:02 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(-2 + sqrt(1573) + 0) - (sqrt(1573) + -1 + 3 + 1)) + 0 + 2)**2.\nAnswer: -594*sqrt(13) + 14238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from gpfifqf.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 23039657 to the power of 1\/3, to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 558966746 and 2392?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -45 + (-2 - (-2 + -1)). Let i = r - -66. Calculate the remainder when i is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 17*i - 188. Calculate n(22).\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4 - 61 = -l, -3*z - 11 = 5*l. Let m be ((-3)\/4)\/((-3)\/z). Let v = -64 + 255\/4. Which is the smallest value? (a) m (b) v (c) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 20*u**3 - u**2 + u - 1. Let g be y(1). Let t = g + -16. Solve 11 = -t*a + 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 0 + (-7)\/4 - 2\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 201 + -164. Let j be 12\/20 + (-312)\/20. Let a = z + j. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c. Let i(r) = -29*r**2 - 17*r. Let h(b) = 5*b**2 + 3*b. Let f = 3 + 3. Let t(d) = f*i(d) + 34*h(d). Calculate t(x(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 60*i**3 + 1235*i**2 + 7000*i + 12080.\nAnswer: 5*(i + 4)**2*(12*i + 151)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 8.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 12*r**2 - r. Let u(t) = -20*t**2 + t. Let o(w) = -7*f(w) - 5*u(w). Let q(b) be the third derivative of -b**5\/30 + 28*b**2. Calculate o(q(i)).\nAnswer: 64*i**4 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/25*35\/91.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**3 - 11*a**2 + 242*a = 0 for a.\nAnswer: -22, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {a: 1, n: 2, t: 5, r: 2, c: 2, b: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.00574 and -5?\nAnswer: 4.99426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 35 - 2c?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 1 - 3)*(0*u + 2*u**2 + 0*u)*(716*u - 188*u - 353*u) in the form x + w*u**2 + n*u**3 + p*u and give n.\nAnswer: 1400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from trttrqtqtqrqtrt. What is prob of sequence qt?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 + 4)*(x - 3*x + 4*x) - 1164*x - 212*x + 5069*x in the form k*x + f and give k.\nAnswer: 3697","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-37)\/(9990\/50)*(-126)\/15?\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - n**2 + 36. Let s be z(0). Let u = s + -34. Factor 44*i**u - 25 + 40 - 23 + 36*i.\nAnswer: 4*(i + 1)*(11*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8347 + 8347.007023. Let d = 2 + -1.993. Let m = d - w. What is m rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*l + 62*l - 87 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h + 4*h**2 + 3*h + (-2 + 0 + 1)*(5*h**2 - 2*h**2 - 4*h**2).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x**3 - 2*x**2 + x. Let i be w(1). Calculate the smallest common multiple of 9\/(-6)*(-60)\/15 and (4\/i)\/(2\/12).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3425 = 5*s, -4*h + 4558 = 148*s - 146*s. What is the greatest common divisor of 120 and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -22*c + 77. Let q be w(12). Let s = q + 191. Solve -s = 2*a - 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 4, 1091, 0.02?\nAnswer: 1091","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-10)*(-16)\/((-448)\/35)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9283, 6, 0.453?\nAnswer: 0.453","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 326 by -163.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 22 = 4*x, 3*d - 2*x - 17 - 35 = 0. Suppose 0 = 15*c - 8*c + 91. Let m = d + c. Let p(f) = -f + 6. Calculate p(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -316*a**4*x**2 - 208750*a**4 - 2*a*x**2 + 4*a*x - 2*a + 5*x + 93317 wrt a?\nAnswer: -3792*a**2*x**2 - 2505000*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2505 + 0.00366348.\nAnswer: -2504.99633652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10413 divided by -27.\nAnswer: -1157\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 263456868.\nAnswer: 263456869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 45\/(-1) - (0 - 2). Let q = u - 31. Let a = -53 - q. Calculate the remainder when a is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 624 = -5*x. Suppose x + 120 = 4*h. Suppose 4*s - 16 = 0, 4*j = -j - s + h. What are the prime factors of j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 11*p**2 - 10*p - 22. Let o be y(-8). Suppose -8 + 147 = m - 5*n, o = 2*m - 3*n. Is 41 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1838 - -3747\/2. What is the common denominator of w and 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 52*c + 23*c + 24 = -27*c, 0 = -5*p + 4*c - 28 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/4 - (-26)\/(-8). Let g be 10\/(-4) - 6\/12. Let h = o - g. Solve h*b - 16 = -4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 136, 267, 398, 529, 660?\n\"Answer: 131*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f - 3. Let x(s) = -s + 1. Let g = -2 + 8. Let i(q) = g*x(q) + 2*n(q). Let h(b) = -4*b. Determine i(h(k)).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5*x**3 - 9*x**2 - 9*x - 7. Let r(b) = 4*b**3 - 8*b**2 - 8*b - 6. Let i(c) = -5*h(c) + 6*r(c). Factor i(v).\nAnswer: -(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2.243924 (b) 1 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a + 1. Let s be j(1). Let y = 16 - s. What is the remainder when 33 is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4 + 7*o**2 + 639*o**3 + 5*o**2 - 2*o**2 + o**4 - 624*o**3.\nAnswer: 5*o**2*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 28, 10 in descending order.\nAnswer: 32, 28, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -109, -211, -379, -613, -913, -1279, -1711?\n\"Answer: -33*l**2 - 3*l - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4346*a + 60 = 4350*a for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 56854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -19, 25, 123, 269, 457, 681, 935, 1213?\n\"Answer: -d**3 + 33*d**2 - 48*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2733 divide 147413999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, d: 4, e: 9}. Give prob of sequence bed.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**3 - 2*s**2 - s**2 + 6*s + 9*s + s**2 to i*s**3 + u*s + m + f*s**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-9\/2))**(-1\/31))**(-6\/17))**(4\/3) assuming u is positive.\nAnswer: u**(-36\/527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9\/2 (b) 0.213416 (c) -4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39021295 to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9974 is divided by 133.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 5*v = -60, -49*v + 44*v + 57 = 4*i for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -1.1, 1\/4, 0, -71\/8, -3 in descending order.\nAnswer: 1\/4, 0, -2\/15, -1.1, -3, -71\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/25 - 664\/(-10). Suppose -3*r = -3*f + p, 0*f - f = 5*r - 10. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-6)*(256\/(-44) + 6). Let l = -70\/3399 + j. Which is smaller: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 5*k**5 + 4075*k**4 + 16220*k**3 = 0.\nAnswer: -811, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-3) - -2)*-12. Let w(j) = 5*j**2 + 52*j + 37. Let v be w(-10). Let f = g - v. Calculate the highest common factor of f and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -5*g**3 + 2*g**2 - 2*g + 2. Let y(h) = 156*h - 76*h - 85*h + 5*h**2 - 10*h**3 + 1 + 3. Determine 5*j(n) - 2*y(n).\nAnswer: -5*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -v + 5, -o + 17 = 2*v + 7 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37436200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.67189581 + 44?\nAnswer: 48.67189581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 78*h**3 - 157*h**3 + 185*h**2 + 82*h**3 + 7 - 13 + 7 + 2*h to the form q*h**3 + x + y*h + n*h**2 and give n.\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3286 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 144.\nAnswer: 5\/144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + (-13 - -2) - 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -6) + (-44 - -35 - 24) + -9\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m + 24. Let x(t) = 1625*t. What is x(l(h))?\nAnswer: 3250*h + 39000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -m + 1. What is the lowest common multiple of 1\/m + 0 + 12 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (70\/(-21))\/(4\/(-342)). Suppose -3*t = 2*h + 22 - k, -2*h = 5*t - 253. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + -1. Let v be (-1)\/(-4) + (-57199)\/y. What is v rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168.438226 rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1857105.9726 - 1857442. Let m = -336 - c. What is m rounded to three decimal places?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62751343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42181995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 11\/5 - (172368\/190)\/36\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 1491 = -t, 3086 = 5*t - 2*d - 4378. Suppose 3*r + 2*b = 1251, -5*r + b + 604 + t = 0. What is the remainder when r is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 1862307?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vnvnxgnxyxxnxvxx. What is prob of sequence xyvn?\nAnswer: 1\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 2*y + 2. Let f be b(0). Solve 2*n - n + 16 = 5*t, -12 = -5*n + f*t for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 2. Let m = a + -6. Solve 2*s - 1 + 7 = m for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.1 + -0.1. Let z = 2.00001 - k. What is z rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 10*o + 14 - 5*o**2 + 5*o**2 + 5*o**2. What is the units digit of a(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 9*q + 4. Let u be v(0). Factor -2*w**u + 3*w**4 + 3*w**4 - 4*w**2 + 0*w**4.\nAnswer: 4*w**2*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u + 48. What is o(8)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/7)\/(65\/91). Let q(r) = -r**3 - 19*r**2 - 19*r - 20. Let y be q(-18). Put y, o, 1, -14 in decreasing order.\nAnswer: 1, o, y, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 3*s**3 - 29767296*s**2 + 29767293*s = 0.\nAnswer: 0, 1, 9922431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133497 = 199*g + 110811 for g.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d - 78 - 74 = 0. Let t(s) = 7*s + 9*s + d*s + 10 - 23*s. Calculate t(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 100 (b) -0.141 (c) -54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 8 = 0, 0*q - 2*q + 2*r = -70. Suppose -5*a = -13 - 12. Suppose -5*n - q = -4*s, 3*s + a*n = 16 + 22. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1043, -2309, -3575, -4841, -6107, -7373?\n\"Answer: -1266*p + 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 823738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53989, 53988, 53987, 53986, 53985, 53984?\nAnswer: 53983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4.604 * 0.71\nAnswer: 3.26884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) 3\/7 (c) -0.5 (d) 5 (e) 306583\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*b - 424. Suppose 72 = i - b. What is the greatest common factor of i and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (37\/(-111))\/((-1)\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 7*y. Let z(w) = -35*w**2. Calculate z(v(x)).\nAnswer: -1715*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -f**4\/24 + f**3\/18 + 1. Factor z(v).\nAnswer: -v**2*(v - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/12*151\/(-2265).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/81*((-2070)\/6)\/23\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127377870 divided by -21229645.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*d**2 - 46*d**2 - 45*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39106533*v**2 - 20048288*v.\nAnswer: -78213066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 8 + 10)*(-g**2 + 2*g**2 + 2*g**2) + 1 - 1 - 2*g**2.\nAnswer: 40*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 26b593 (base 13) in base 7?\nAnswer: 10660566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -3\/28*i**4 - 62*i**2 + 1\/105*i**5 + 0 + 0*i + 4\/21*i**3. Let y(n) = 0. Calculate n.\nAnswer: 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(-15) - -3*2\/(-9). Let k be (-50039997)\/(-6)*2 - u. Round k to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14137, 28427, 42933, 57763, 73025?\nAnswer: 88827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -641, 307, 43 in descending order.\nAnswer: 307, 43, 0, -641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g + g + 2*g - g.\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-0.7.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156546 is divided by 413.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of y**5\/30 - 5*y**4\/24 + y**3\/6 + 2*y**2. Does 11 divide a(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*u - 0*u + 5*c, -34 = 3*u - 4*c. Let i(s) = -5*s - 6. Let q(g) = 16*g + 17. Calculate u*q(j) - 17*i(j).\nAnswer: -11*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3666961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -7*p**2 - 12*p - 1. Let a(g) = 6*g**2 + 11*g. Let v(z) = -6*a(z) - 5*d(z). Let o be v(-6). What is the greatest common factor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 294 and 1946966?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 11) in base 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16060*g + g**2 - 16*g**2 - 16072*g + 8*g**2 + g**2 + 4*g**2.\nAnswer: -2*g**2 - 12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 198 and 2264625?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(13\/(-26))\/(2\/4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 - (-2 - -17 - (117 + -72 - 21)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225989 is divided by 14121.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3137525239 to the power of 1\/2, to the nearest integer?\nAnswer: 56014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 34137 and -2\/51 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 294707 less than -68353?\nAnswer: -363060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 257853 and 4255.\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.329373538 and -3.\nAnswer: -0.988120614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 118728144 and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3758 divided by 1879.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, q: 1, m: 1, h: 2, l: 1}. What is prob of picking 1 m and 2 g?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 105 - 100. Solve f + 4 = -2*r, 0*r = f - k*r - 24 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 0 - 74*z + 0*z**2 + 1\/6*z**3. Let r(y) = -147*y**2. Determine h(r(i)).\nAnswer: -147*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 - 4*l**2 + 4*l - 8 + 5*l**2 - 2*l**2. Let g be x(12). Suppose 5*c + 953 = q, -c = 6*q - 4*q + g. Round c to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101655593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 112\/392 - (-1138)\/(-2856) and -127\/30.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -4*b**2 + b - 35. Let c(n) = -5*n**2 - n - 35. Calculate 3*c(r) - 4*x(r).\nAnswer: r**2 - 7*r + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 23, -48, -153, -304, -513, -792?\nAnswer: -1153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j + 224. Let b(n) = -14*n. What is a(b(d))?\nAnswer: 14*d + 224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/((v**5*v)\/v*v)))\/v)\/((v**(-2\/9)\/v)\/v)*v**1\/(v*(v\/(v*v**(-1\/3)\/v))\/v*v))\/(v**(2\/19)*v*v**(-2\/7))**(-39) assuming v is positive.\nAnswer: v**(45308\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -1\/12*v**3 + 1\/2*v**2 + 1 - v. Solve d(w) = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 11*q**3 + 100*q**2 + 3*q - 54. Calculate b(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 25*j**2 + 145*j - 9. Give a(-9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 8, u: 2}. What is prob of sequence uqq?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 3:56 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*h - 19, -2*g - 3*g - 25 = -2*h. Suppose 10*m = 14*m. Suppose -5 = 2*t - 7*t. Sort m, 3, t, h in descending order.\nAnswer: h, 3, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: (644\/(-21) - -5) + (-78)\/(-117)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 213 and 100536.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 7*v**2 + 11*v + 45. Let s be g(-8). Solve 10 = 2*c, -2*r + 5*c - 14 = s for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of u**2\/2 + 8*u - 4. Let m be r(-6). Differentiate -15*a**2 - 1 + 0*a**3 + 4*a**3 + 15*a**m wrt a.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.7 - 2. Let r = 2\/5655 - 22634\/39585. What is the nearest to -4 in r, v, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2*-1)\/(-2 + 0). Let f be (91\/2)\/((-1)\/(-2)). Let x = -90 + f. Is x greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 4 = 3*j, -471*j = -476*j + 4*b + 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -134.99316 + 135. What is s rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 274\/2305 - -102097\/354970. Let f be ((-1)\/(-2))\/((-77)\/1). Let v = o + f. Which is the third biggest value? (a) v (b) 1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1 + sqrt(112))*-4 + 0 + (-1 + sqrt(7))*-1 + 3)**2.\nAnswer: 3792*sqrt(7) + 44263","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 991532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5466, -21700, -48756, -86634, -135334, -194856?\n\"Answer: -5411*b**2 - b - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(28) + (sqrt(28) - (sqrt(224)*1)\/sqrt(8)))\/sqrt(4))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4425 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/508 and 65\/16?\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 19. Let b(j) = -j**2 - j - 98. Let y be b(0). Let i = y + 393\/4. Which is smaller: i or d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 689, 20, -3 in ascending order.\nAnswer: -3, 20, 689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - p = -4*s + 96, -12 = -3*s. Let t = -54 - -108. What is the least common multiple of (-3)\/(-6) + t\/4 and p?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**2 + 0*j**2 - 2*j**2 + (-6 + 3 + 2)*(j**2 + 4*j**2 - 6*j**2) - 3*j**2 - j**2 + 7*j**2 + 2*j**2 - 4*j**2 + 3*j**2 + j**2 - 3*j**2 + 0*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 4*t**2 + t - 1. Let k be r(4). Suppose 72 = k*p - 24. Is p a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h + f + 8, 9*h - 3*f + 31 = 4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s - 2*s**3 + 2 - 2 + s**4 in the form o*s**2 + q*s**3 + h*s + r + a*s**4 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 133\/3 - 937\/21. Let n = 2.1 + -2. Let r = 1.7 - -3.3. Put r, n, i in decreasing order.\nAnswer: r, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*l + r + 1, 10 = -l - 3*r. Let d = 104.6 - 105. Which is the closest to l? (a) -1\/5 (b) -0.16 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-2) - -3 - -2. Suppose v - 10 = -a*v. Solve 0 = -3*c - 3*x - 27, -2*c - v + 4 = -3*x for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 979 = 22*v - 565 + 114. What is the remainder when v is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 3133\nAnswer: -626.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 693 and 12089.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r + 2. Let z(i) = 1. Suppose -2*w = 4*a + 6 + 2, 0 = -2*a + w. What is a*v(l) + z(l)?\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 547046 to the nearest integer?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2545 (base 6) to base 9.\nAnswer: -782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*n - 7 = 12, -f - 5*n + 29 = 0. Let r = 163 + -163.31. Put f, 3, r, 1 in ascending order.\nAnswer: r, 1, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -151333 + 0?\nAnswer: -151333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27218 * 65.\nAnswer: 1769170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in 2\/15, 3\/5, -3150?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 23 = 7*z - 6*z, -3*t - 19 = 2*z. Let r = -20 - -26. Suppose -s + 1 = -r*s - 2*y, s = -5*y - 14. Put 0, s, t in decreasing order.\nAnswer: s, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/5 and -3\/317446.\nAnswer: 1587230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 - 46.3. Let w = -467947.699991 - -467946. Let m = h + w. What is m rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 11:29 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 5)*(20*g**2 - 54*g**2 - 141*g**2) - 2*g**2 + 3 - 3 + (2*g**2 + g**2 - g**2)*(-2 + 2 - 1).\nAnswer: -354*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29806201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -8*p - 9 + 9. Let y(u) = -7*u. Let j be 1 - (0 + 0 - 5). Let g(l) = j*q(l) - 7*y(l). Let n(w) = -2*w. What is g(n(b))?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (k + 2*k - k)*(4 + 3*k - 4) + 2*k**2 - k**2 - 3*k**2 + (4 + 1 + 23)*(3*k**2 - 3*k**2 + 2*k**2) as t*k**2 + z + x*k and give t.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 918449 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 0.9. Let i = d - 4.1. Which is the smallest value? (a) i (b) -0.5 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5*f - 70 = 0, 3*f - 15 + 17 = -v. Find the first derivative of -2 + 7 + v - 24*j wrt j.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24109003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9814659?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n + 4. Let y be f(-3). Let x(q) = q - 1. Let m be x(y). Let c(o) = -o + 6 + m - 4. Give c(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, v: 6, a: 2, h: 1, z: 3, q: 1}. What is prob of sequence vav?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**3 + 12998*i**2\/7 + 2053944*i\/7 - 882648\/7 = 0?\nAnswer: -138, 3\/7, 1066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.05365 - -0.44635. What is the closest to 2\/11 in -0.4, l, -3, 11?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 485249 is divided by 37322.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289430 - 9028 = 38*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.423293kg to milligrams.\nAnswer: 423293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.05 + 0.45. Which is the third smallest value? (a) t (b) -4 (c) -4.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313 less than -2127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -47244069*r + 59737976 wrt r.\nAnswer: -47244069","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 933 - 875. Calculate the remainder when 171 is divided by c.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 39 + -2413 + 2420?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -753*r - 9192. Determine t(-12).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 8*h + 1. Let m(d) = -21*d - 1. Let r = -16 + 18. Let i(k) = 83*k + 3. Let y(a) = r*i(a) + 9*m(a). Give -17*n(q) - 6*y(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 1:40 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - f + 200*f**2 + 193*f**2 - 393*f**2 + 123*f**3 + 4 to the form k*f**3 + w*f**2 + m*f + x and give k.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 900 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(5 + (-2 - 1)). Suppose 11*s + 12 = -10. What is the nearest to -2 in w, 5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45224 is divided by 1256.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*p + 44, 4*x + p - 68 - 26 = 0. Calculate the remainder when 46 is divided by x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-10)*230\/46\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54700 is divided by 263?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/9, 0.2, -4, 8\/29?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y = -2924 + 2959 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 547333 + 69.84.\nAnswer: 547402.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1141*z - 19618 - 24881 = 0 for z.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 10*t**2 + 5*t - 16. Let p(h) = 2*h**2 + h - 3. Let l(k) = 2*c(k) - 11*p(k). What is l(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 13*w = -8*w + 28*w - 3*u + 21, -8*w + u - 47 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28948, -28954, -28964, -28978, -28996, -29018?\nAnswer: -29044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a micrometer in nanometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 2*c + 4, -c + 9 + 0 = 3*j. Suppose 2*s = 4*y + 36000008, j*y + 35999994 = 2*s + 5*y. What is s rounded to the nearest 1000000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -19, 2\/9, 0.02, 0.51?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 7 + 9 - 16. Let g(p) be the third derivative of 2*p**5\/15 + 2*p**2. What is g(h(s))?\nAnswer: 8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/44)\/(68\/16 + -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 145, 115, 85, 55, 25, -5?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 5:47 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of m**4\/24 - m**3\/3 - 16*m. Factor b(z).\nAnswer: z*(z - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -45*l + 50. Let p(h) = 10*h - 12. Let m(c) = -6*a(c) - 25*p(c). Let w(v) = -8*v**2. Give w(m(y)).\nAnswer: -3200*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14255*c - 21514*c + 5224*c.\nAnswer: -30545*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 421*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 3:50 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 375740310 to the nearest integer?\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 26.2460457219\nAnswer: -26.5460457219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -2, -18 in descending order.\nAnswer: 14, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0069 rounded to two dps?\nAnswer: 2.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*d = 709*d - 4196 + 18371 for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (105\/(-9))\/7 + 1\/(-3). Let j = -33 - -28. Is j + (2 + z - -167) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -117 - -63. Let j = 121 + g. Suppose -3*y = 2*h - 6*y - j, 2*h + 4*y = 32. Is 13 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sggvvsgvggv. What is prob of sequence vvsv?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 217, 5, 1, -1, -3 in ascending order.\nAnswer: -3, -1, 1, 5, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 26*v**4 - 5*v**3 + 15*v + 65. Let u(g) = 14*g**4 - 3*g**3 + 8*g + 33. Let w(j) = -3*a(j) + 5*u(j). What is the derivative of w(r) wrt r?\nAnswer: -32*r**3 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b - 1. Let h be w(5). Let r = 13 + h. Let o be r + 2*(-2 + 1). Solve 0 = -2*v - d - 2, o = -0*v + v - 2*d - 9 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnanudanuanaunaa. Give prob of sequence uua.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 3*i**2. Give k(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 13*n - 5. Let w(s) = -20*s + 7. Let d(t) = 8*p(t) + 5*w(t). Let h(y) = 2*y**2 + 2*y - 14. Let r be h(-4). Is d(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/16062393? (a) 2\/9 (b) 0.4 (c) -2 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49 and 239.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -9*u**5 + 6*u**4 - 2*u**3 - 6*u**2 + 4*u + 7. Let o(a) = -4*a**5 + 3*a**4 - a**3 - 3*a**2 + 2*a + 3. Let p(k) = 6*b(k) - 14*o(k). Factor p(v).\nAnswer: 2*v*(v - 2)*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29091588 a multiple of 642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2\/6 - 74935*c\/3 + 349615\/2.\nAnswer: 5*(c - 29967)*(c - 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 4*h**2 + 47543048*h + 141271338320644 = 0.\nAnswer: -5942881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 96328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 167*d**3 + 172*d**2 + 2*d - 6090?\nAnswer: 1002*d + 344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 5:39 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l + 3*l - 3*l**2)*(2157 - 11784 - 526 + 2864 - 12826) to the form k*l**2 + t + i*l and give k.\nAnswer: 60345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283781429 + 283782654 = -49*p for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5881844 is divided by 30009?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 182, 542, 902, 1262?\n\"Answer: 360*d - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-65)\/((-74)\/(-4) - 16) + 17\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.49 (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248425*w**3 - 123960*w**3 - 124140*w**3.\nAnswer: 325*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(65\/(-514644)) - -15. Calculate the greatest common factor of 129 and y.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11638*r + 14 = -11649*r + 465. Let g = -72 + 113. Calculate the greatest common divisor of g and r.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27700 and 2.\nAnswer: 27700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/11233935 and 29\/235912635.\nAnswer: 235912635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-1*2\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37\/105 + 1\/15. Let d = -0.21072 + 0.02072. What is the third smallest value in -0.2, d, r, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46091.53 decades in centuries?\nAnswer: 4609.153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (14 - (-5 + 19)) - 24?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 7\/2*v**2 + 0*v + 10 + 0*v**4 + 3\/5*v**5 + 0*v**3. What is the second derivative of q(n) wrt n?\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -10*j + 5. Let f(m) = 11*m - 5. Determine -5*f(t) - 6*k(t).\nAnswer: 5*t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-11))**(-3\/19)\/(u**(-8))**(-16\/7) assuming u is positive.\nAnswer: u**(-2201\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -9*b**2 - 5*b. Let f = 21 - 16. Let d(s) = 11*s**2 - 3*s**2 + f*s - 98 + 98. Let h(z) = 7*d(z) + 6*v(z). Find the second derivative of h(m) wrt m.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**2 + 5 + a**3 + a**3 - 3*a**4 + 2*a**2 - 3 as l*a**4 + n*a**3 + c + i*a**2 + z*a and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11943402 to the power of 1\/2, to the nearest integer?\nAnswer: 3456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2. Let n(b) = 1048*b + 43. Let w(k) = -262*k - 10. Let f(o) = -6*n(o) - 26*w(o). Determine f(r(p)).\nAnswer: -1048*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -0.3, -2, -3\/22, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -21*m + 1087. Let t be f(52). Which is the biggest value? (a) 1 (b) 3 (c) -4 (d) -8 (e) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -773*-0.24\nAnswer: 185.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*z + 17*z - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 197466846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -438559, -438557, -438567, -438589, -438623, -438669?\nAnswer: -438727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -591*r + 4726. Calculate w(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 l when three letters picked without replacement from lpopol?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/2068671 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -42 - 6*y**2 + 5*y**2 + 3 + 37*y**2 wrt y?\nAnswer: 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40*-4.\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -913\/61 and -15 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 0 + -6 - -2) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-158)\/54 - 4\/54\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, o: 1, f: 1, d: 4}. Give prob of picking 1 w and 1 d.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8878242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 676*d**2. Let l(p) = -15*p**2. Give -91*l(t) - 2*s(t).\nAnswer: 13*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 430251?\nAnswer: 3, 173, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2675*f - 2659*f - 832 = 0. Let k = -24 - 21. Let h = -27 - k. What is the remainder when f is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100269 is divided by 96235?\nAnswer: 4034","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -89*z**2 + 358*z - 5. Let v be h(4). Which is the fourth biggest value? (a) v (b) -14 (c) 2.3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5638 is divided by 209.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s + 15*s + 2 = 0. Let p(y) = y + 4 - 2 + s. Give p(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -15.62, -2\/7 in ascending order.\nAnswer: -15.62, -2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j + 6. Let n(g) = 74723 + 89*g - 74723. Give n(m(q)).\nAnswer: 178*q + 534","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*k - 21. Let j(r) be the third derivative of r**4\/24 + 21*r**3\/2 + 23*r**2. Let o be j(0). Calculate the greatest common divisor of k and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/60*-10*9. Solve w*i - 92 = i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2518134 (base 9) to base 8\nAnswer: 5165010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 10*f + 201*f - 26*f - 2. Let z(i) = 5*i. Let a(x) = 14*x. Let n(c) = a(c) - 3*z(c). Calculate j(n(y)).\nAnswer: -185*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 to the power of 1\/2, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 939259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23217259 is divided by 599?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4894 - -8a?\nAnswer: 491e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2035?\nAnswer: 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeebxeewexebxeebwe. What is prob of picking 2 b, 1 x, and 1 w?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 209 and -2.\nAnswer: -418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 4:17 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 1 - -2 - (26 + -20 + -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/1 - (-1 - (-12)\/4). Let n be r\/(-1)*(5 - 11)\/(-12). Solve 0 = 4*g + 2*a - 12, -n = -g + 5*a + 1 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**2\/11 - 44952*r\/11 + 89896\/11 = 0 for r.\nAnswer: 2, 22474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 72*d*j**2 + 661*d*j + 4*j**3 wrt j?\nAnswer: 144*d + 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 5*o + 20, 0*o + o = -2*i + 2. Let w(h) = 3*h**i + h**2 - h**2. Let v(t) be the third derivative of -t**5\/60 + 2*t**2. What is v(w(z))?\nAnswer: -9*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1911 and 527163?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -114, 12, 4, 534, 2, -4 in decreasing order.\nAnswer: 534, 12, 4, 2, -4, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + 5*((3*sqrt(2736)*4)**2 - (-1 + 3 + sqrt(2736))**2))*-5.\nAnswer: -19562250 + 2400*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 2\/7 (b) -7 (c) 2 (d) -0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -81601672*z**5 + 13931542*z + 2.\nAnswer: -1632033440*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 814*v - 1692 - 1699 - 166*v + 5082 - 1693.\nAnswer: 648*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -517*w**4\/8 + 1361*w**3\/2 - 274*w**2 - 4*w + 1. Find the first derivative of a(h) wrt h.\nAnswer: -1551","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 s when four letters picked without replacement from {v: 10, s: 9}.\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 416886 a multiple of 384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -311629 + 548042. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -4. Suppose 92*m - 5008 = -5100. Sort k, 5, 4, m in descending order.\nAnswer: 5, 4, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, -1, 5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 145, 276, 393, 496, 585, 660, 721?\n\"Answer: -7*c**2 + 152*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.083? (a) -2 (b) -13.6 (c) -2\/3 (d) 3 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -5*u + 35. Let h be q(7). Suppose 2*r - 18 = 4*v, -r = r + v - 13. Suppose h = -p + r - 4. Solve 0 = -p*l - 2 + 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11583372 by -2895843.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -2\/5*y**5 + 0*y**3 + 0*y**4 + 3 - 6*y + 0*y**2. What is the derivative of t(v) wrt v?\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -6 - 1 - (-4 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1036, -4349, -4, -2 in decreasing order.\nAnswer: -2, -4, -1036, -4349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 19874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 68230087?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 6*f + 7. Let j be q(6). Let a = j - -65. Which is smaller: -95 or a?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 123231807 to the nearest integer?\nAnswer: 11101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1579, 3100, 4621?\nAnswer: 6142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.0894*-1392.7\nAnswer: -124.50738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002551 to five decimal places.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 293 divided by -6\nAnswer: -293\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**5 + w**5 + w**5 + 0*w**5 + 0*w**5 - 3*w**5 + (1 + 0 + 1)*(-2*w + 2*w + w**5) - 12 - w**5 + 12.\nAnswer: 3*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 8) to base 9.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 785658*c**3 - 7164*c - 27 wrt c.\nAnswer: 4713948*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (72\/420*-7)\/(3\/10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 9*t = -g - 21369, -5*g + 10690 = t. What are the prime factors of t?\nAnswer: 5, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 2*m - 99. Let z(b) = b**2. Determine n(z(s)).\nAnswer: -s**4 - 2*s**2 - 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259*y**3 - 207*y**3 - 220*y**3 + 2 + 157*y**3.\nAnswer: -11*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50 + -146. Let d = -93 - n. Solve -w = -d + 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/((-105)\/(-7)))\/(112\/104 + -1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(28 + 38 + 50)*(2*j**2 + 2*j**2 - 6*j**2).\nAnswer: 232*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 2 + 4. Let t = -0.2 + 2.2. Let x = t - -3. Which is the biggest value? (a) -2 (b) x (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.08, -1, 2\/5329 in descending order.\nAnswer: 2\/5329, -0.08, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -467, 0.5 in descending order.\nAnswer: 0.5, 0.4, -467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1601420775?\nAnswer: 3, 5, 59, 361903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + b + 5. Let o be (-1)\/(-4)*-2*0. Let l be y(o). Let 1\/3*m**l - m - m**4 + 2\/3*m**3 + 1\/3 + 2\/3*m**2 = 0. What is m?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/(1092\/(-28)))\/(((-10)\/(-340))\/((-2)\/(-2)))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 605595.988485162 - 605596. Let u = b + 96.011557838. Let f = 96 - u. Round f to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1167\/(-389))\/(((39\/(-1))\/(-1))\/(-2))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -b**6\/12 - 9*b**5\/2 - 100*b**4 - 3520*b**3\/3 - 7680*b**2 - 26624*b + 1425. Determine l, given that k(l) = 0.\nAnswer: -13, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 57.496\nAnswer: -22.9984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b = -42*b + 132. Suppose b*x - 1356 = -5*u, -x + 152 = u - 120. What is the remainder when u is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 2*q**2 - 19*q + 22. Let a be o(2). Let t(i) be the second derivative of 0 - i**3 + 1\/4*i**4 + a*i**2 - 26*i. Let t(m) = 0. Calculate m.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 33 = g + 3*t, 4*g + 49 = -5*t. Let j = 9 + g. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -177*s**4 + 3*s**2 - 195*s - 3. Let b(k) = -353*k**4 + 5*k**2 - 390*k - 5. Let w(g) = 3*b(g) - 5*t(g). Find the second derivative of w(o) wrt o.\nAnswer: -2088*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 1000000000101000000?\nAnswer: -1000000000101000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/(-8) + (-6)\/(-8). Suppose 28399994 = -4*t + b*h, -5*t + 5*h - 35499992 = h. Round t to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -682 <= -667?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -636637, -2546538, -5729705, -10186138, -15915837?\n\"Answer: -636633*v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22822 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 3*n - 7. Let t(z) = -z**2 + z - 1. Let m(u) = -r(u) - 4*t(u). Let x be m(8). Suppose -8*w = -27 + x. Does w = -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 - 3118*g**2 + 3118*g**2 + 36351*g - 36351*g.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 263? (a) -3 (b) 13 (c) -7 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(-2))**(-11)\/(h*h\/(h*h**(-1\/4)))**41)**(-11) assuming h is positive.\nAnswer: h**(4191\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than 23699483117?\nAnswer: 23699483122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -7394.\nAnswer: -1\/3697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + -1 + 1058 + -1059 + 137.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33323, 1, 5, 186, 3 in increasing order.\nAnswer: 1, 3, 5, 186, 33323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 2*w + 815048, 0*t + 5*w = -t + 101923. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (-16)\/10 - 4\/15. Which is smaller: k or 33?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -87*d**3 + 8*d**2 + 91*d**3 + 0*d**2.\nAnswer: 4*d**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -72*v + 67*v + 5*l, -2*v + 5*l = -4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -8 + -9 + (-9 - (10 + -19 + 6)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 5*f - 2. Let i be r(4). Solve 0 = -4*m + i + 18 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7184.08 - -11?\nAnswer: -7173.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1594 is divided by 418?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/671515 and -87\/1343030?\nAnswer: 1343030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 6:52 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 136*i**2. Let m(w) = -2*w**2. What is y(m(q))?\nAnswer: 544*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1*(sqrt(272)*1 + sqrt(17) - (-1 + -1 + sqrt(17))).\nAnswer: -3 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(-2 - 28) - 10\/(-24). Suppose 4*x = 3*x - 6. Let z = 2 + x. Put f, z, 1 in descending order.\nAnswer: 1, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - 7) + -11 + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3629 <= -1980?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.1, -3, -7\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of 1\/360*t**6 + 4\/3*t**3 + 2*t**2 + 0 + 1\/12*t**4 + 1\/40*t**5 + 0*t. Let q(y) be the first derivative of b(y). Give q(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3951 = -214*s - 955 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*v + 54*v - 10 = -61*v, 16 = j - 5*v for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/12 and -109\/242?\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 72765313, 145530626, 218295947, 291061282, 363826637, 436592018, 509357431?\n\"Answer: t**3 - 2*t**2 + 72765312*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 10*r + 28 = 0. Suppose 6*q = -3*o + 2*q + r, q + 4 = 2*o. Factor -o*y**2 - 6830*y**3 + y**5 + 2*y**4 + y**4 + 6830*y**3.\nAnswer: y**2*(y - 1)*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.27 - 0.13. What is the closest to 0 in 3, 1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5909.223 millennia to centuries.\nAnswer: 59092.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 a when three letters picked without replacement from {m: 13, a: 3}?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68424.60177 + -68423. Let z = q + -1.6. What is z rounded to four dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7015247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 9*i - 199. Give r(21).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**2 + 31*i - 54. Let j be z(-14). Let l = 11 - 6. What is the greatest common factor of j and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 9.427063 <= 1.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*d + 60*d - n = 36*d + 2, -3*n + 4 = -2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(80) + 3)*5 + -1.\nAnswer: 89 + 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from {u: 12, a: 1, v: 7}.\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 41541865 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 13*w + 3*w - 18*w + 3*w. Suppose 0 = -2*r, -2*r - 5 - 3 = -2*d. Give h(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*q**2 + 4*q**2 + q**3 + 7*q**2 - 25*q**2.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5685.999998836 - -5686. Round u to 7 dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/97?\nAnswer: -4\/97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5052326.64 rounded to the nearest 100000?\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**4\/4 - 851*y**2. Let g(a) be the first derivative of a**2\/2 + 1. Calculate p(g(w)).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eeeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/(-95)*2 - 4*2\/(-8)?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**2 - 8418395724944*f + 8418395724944*f.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 minus -218264?\nAnswer: 218263.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.8 - 0.8. Let s = -3 - z. Which is the third smallest value? (a) s (b) 0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 140.7776 to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 572468664 to the power of 1\/2, to the nearest integer?\nAnswer: 23926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13, 32, 51, 70?\n\"Answer: 19*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.034 + -0.37.\nAnswer: -4.404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3517926.\nAnswer: 2, 3, 19, 30859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 72465, 144158, 215851, 287544?\n\"Answer: 71693*s + 772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, a: 3}. What is prob of picking 2 a and 2 f?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1049265*x**2 + 521 - 521.\nAnswer: 1049265*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-372)\/(-9))\/((-8)\/(-12) - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 514 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 244.5921 weeks?\nAnswer: 147929302080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-10)*(-4)\/(-2). Does 17 divide 5\/((-10)\/(-66)) - w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47108385?\nAnswer: 3, 5, 41, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26958*k**2 - 3*k**3 + 13323*k**2 + 13393*k**2 to p + r*k**3 + i*k**2 + u*k and give i.\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/10 of a hour?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4*(sqrt(27)*5 - sqrt(3)))*5.\nAnswer: -280*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 4091 + 367 = 0. Let a = -276 + b. Let u(h) be the third derivative of -h**6\/120 - h**5\/6 - h**4\/24 - 5*h**3\/6 + h**2. Give u(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -12*v**2. Let m(h) = -8*h - 65. Calculate w(m(p)).\nAnswer: -768*p**2 - 12480*p - 50700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + j = -5*y - 353, -1442 = -4*j + 5*y. Let t = -259 + j. Let w = 20 - 7. What is the greatest common factor of w and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 10*s + 5 + 37 - 6*s + s. Let z be r(-6). Let i(t) = 26*t + 2. Let b be i(5). Calculate the highest common factor of b and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -381 + 394. Suppose 4*g - 1065 = 235. What is the greatest common divisor of l and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 124 - 1530 = h, 0 = -4*v + 5*h + 3302. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 9:30 AM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 1:02 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-4)*9\/((-810)\/(-750))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 - 2*h**2 - 3*h**2)*(-7*h**2 + 4*h**2 + h**2)*(-2 - 4 + 4).\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 455 = 2*k + k + 4*u, 2*u - 620 = -4*k. Is 30 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15285*f**4 + 8*f**3*v - 367*f**2*v + 11*f**2 + 2*f*v + 3*f - 13*v wrt f.\nAnswer: -366840*f + 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1018, 8120, 27390, 64912, 126770, 219048, 347830, 519200?\nAnswer: 739242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -332, 1940, 9638, 25474, 52160?\n\"Answer: 452*n**3 + n**2 - 895*n + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 10:27 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -14. Let o = 0.74 - 1.74. Let p = -2 - -2. Which is the second smallest value? (a) o (b) p (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 146*s**2 - 2837*s - 13518. Calculate r(-124).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-1*5*6)\/(sqrt(9) - (sqrt(324) - (sqrt(324) - (sqrt(324) - -1*sqrt(324) - sqrt(324)))) - sqrt(324)*2)*-3.\nAnswer: -90*sqrt(11)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 362656502.\nAnswer: 2, 13, 23, 606449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**4\/2 - 302613*i**3 - 30530322471*i**2\/2 - 274699371654*i - 1236036879846 = 0. What is i?\nAnswer: -100862, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79004?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**3 + 41*f**2 - 20*f + 42. Let t be w(20). Which is the closest to 2\/3? (a) t (b) 3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 22*p - 23*p + 227, -6 = 6*p. What is the smallest value in -3, -1\/3, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -202*d + 1768. What is the remainder when b(8) is divided by 36?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.6*-28679\nAnswer: 275318.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 837 - 833. Suppose -5*l - 5*b + 60 = 0, -h*b = l + 4 - 7. Let k = 73125\/4718 + 2\/2359. Which is bigger: k or l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (2 - -1) - 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -10. Let j(y) = -t*y - 5 + 18*y - 4. Let n(v) be the second derivative of 5*v**3\/6 - 3*v**2\/2 - 6725*v. Calculate -6*j(d) + 17*n(d).\nAnswer: d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(5\/8)*u)**(-2\/35) assuming u is positive.\nAnswer: u**(-13\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g**2\/7 - 170*g + 396\/7 = 0 for g.\nAnswer: 1\/3, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14229455\/1744029 - -2682\/329. Calculate the common denominator of b and 17\/171.\nAnswer: 5301","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 132927 = 4*l, -100279 = -3*l + j - 598. List the prime factors of l.\nAnswer: 2, 3, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 48\/10 + (-2)\/(-10). Suppose 3 + 77 = i*k. What is the greatest common factor of 16 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1088) - -3*(-1 + sqrt(1088) - sqrt(1088))) + 3)**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2055 by -685.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 167 = x - 3*a, -2*x + 334 = 2*a. Suppose -k + x + 178 = -4*l, 0 = -2*k + 3*l + 665. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 5*n - 15. Let m be (n*8\/(-12))\/(-26). Let o(d) = d**2 + 4*d + 1. Let h be o(-4). Is m >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 33 = 7. Suppose -2*q = 3*q - s. Let x be 2 - (-2 - (q + -3)). What is the closest to 0.1 in 1\/9, x, 4\/3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvvvrvvlrvvvvvvlvll. Give prob of picking 2 v.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 466 - 447. Put -2, 5, j in descending order.\nAnswer: j, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 4*p**2 - 4*p + 3. Let g be d(3). Suppose 3*r - 4*r = -4*x + 18, g = -4*x + 20. Calculate the highest common factor of 9 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 21, 69, 1, -23.\nAnswer: -23, 1, 3, 21, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 30*d**2 + 6*d + 126. Is s(30) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55366 to the power of 1\/2, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/4 - 3*y**2\/4 - y + 3.\nAnswer: (y - 3)*(y - 2)*(y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 674235954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1906\/11 (b) 6\/13 (c) 1\/2 (d) 45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*a + 46 = 5*x, 38 = 2*a + x. What is the derivative of -331 - 2030*f + a*f**2 + 2029*f + 127*f**2 wrt f?\nAnswer: 290*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 17, r: 3}. What is prob of picking 3 g?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -453174 divided by -2?\nAnswer: 226587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15646 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -26*w**3\/3 + 17*w**2\/2 - 6*w + 2596. Let l(r) = -6*r**2 + 8*r - 2 - 3*r**2 - 2*r. Give -17*l(c) + 6*p(c).\nAnswer: -3*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2847.306 months?\nAnswer: 0.2372755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**4\/4 - 2911*u**3 + 2260488*u**2 - 585917248*u + 467288576.\nAnswer: (u - 776)**3*(5*u - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -19*k**2 + 2*k - 35. Let l(s) = 54*s**2 - 7*s + 101. Let m(n) = -6*l(n) - 17*r(n). Give m(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, j: 9, y: 3, x: 5}. Give prob of sequence yy.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 45240 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by 148?\nAnswer: 17\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -42 (b) 1.82 (c) 0.4 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**3\/9 + 16*b**2\/9 - 10*b\/9 - 100\/9 = 0. What is b?\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 14*r - 11. Suppose 170 = g + 4*g. Let l = -42 + g. Let x(v) = -5*v + 4. Give l*x(i) - 3*y(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8099 a factor of 697400341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 39 = -15. Determine l so that 114 - 8*l - z*l**3 - 63 + 45*l**2 - 91*l + 6*l**3 = 0.\nAnswer: -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + sqrt(152) + (sqrt(152) + sqrt(152)*1 - sqrt(152) - sqrt(152))*-1 + sqrt(152) - sqrt(152)*-1*4)\/((1*sqrt(96)*3)\/sqrt(12)).\nAnswer: 7*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 369 a factor of 185928768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1089538166*h + 973888642.\nAnswer: 1089538166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (-6)\/16*-4. Suppose 5*z = 21*z + 17*z - 66. Let 1\/2*k**3 - b*k**z + 3\/2*k - 1\/2 = 0. What is k?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - o**2 - 3*o**2)*(-4 - o**2 + 4 + (4 - 3 + 2)*(-2*o**2 - o**2 + o**2) + 2 + o**2 - 2)*(-51*o + 42*o - 36*o).\nAnswer: -540*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 + 36. Suppose 0 = -2*a + 6*a - 76. Calculate the remainder when l is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 555 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2575273905 a multiple of 2380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*w**2 - 27*w**2 + 16*w - 16*w.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 + 9*x - 19. Does 8 divide j(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 126*n**3 - 946 wrt n?\nAnswer: 378*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -97103.53 rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22102*20.\nAnswer: -442040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/30672 and -107\/1104.\nAnswer: 705456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 0) + -7 + (14 - 5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -0.4, -1.3, -2, 3, 2\/11 in descending order.\nAnswer: 3, 2\/11, -0.4, -1.3, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -235*c + 3 - 3 + 709*c as a*c + s and give a.\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4114 + -4059. Calculate the least common multiple of b and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 29, 76, 153, 266, 421, 624?\nAnswer: 881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(6 - 3 + 0)*(-9*i + i + 3 + 5*i)*(-2*i**2 + 4*i**2 - 3*i**2).\nAnswer: 18*i**3 - 18*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*t + 33 = 0, -254*v + 249*v - 10*t + 250 = 0. Let s = 6 - -10. What is the least common multiple of s and v?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 8*k - 21. What is y(6)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116646?\nAnswer: 2, 3, 19441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 2*sqrt(8)\/sqrt(4))**2 - (2*sqrt(2)*4)**2.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2424 (b) 12\/7 (c) -17 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 18659511, 18659510, 18659507, 18659502?\n\"Answer: -n**2 + 2*n + 18659510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/2*2*-1. Let w(v) = -3*v**3 + 4*v**3 - 6*v**2 - u + 6*v - 7*v. Determine w(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2*v - 4)*(-9 + 2 - 50)*(4*v - v - v) + (-2 + 2 - v)*(0*v + 2*v + 0*v) - v**2 - 1 + 1 as f + w*v**2 + j*v and give w.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -67. Let c(u) = -u**2 - 9*u + 5. Let m be c(-9). Calculate the greatest common divisor of m and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-53)\/11 + 16\/(-88). Let o(i) = i**3 + 5*i**2 - 2. Give o(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.08 and -19.4024121?\nAnswer: 19.4824121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-24) - (-2 + (-212)\/(-84))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3308 and 5789.\nAnswer: 23156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (20 - (6 - (0 - -9))) + (-19 - -23)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 9*x + 10. Suppose 0 = -l - 2, b + 38 = -4*l + 6*l. Let i be ((-3)\/(-6))\/(165\/b - -4). Suppose -i*d = -30 - 19. Calculate k(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/5, 7, 1, 229, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44 - -42. Which is the closest to 15? (a) s (b) -0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 3)*(4*h - 6*h + h) - 195 + 197 + 1459*h - 2115*h to the form b*h + c and give b.\nAnswer: -657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 135\/(-54)*4*(-2)\/10. Let m(i) be the third derivative of -1\/30*i**6 + 0*i + 0*i**4 + 6*i**o + 0*i**5 - 2\/3*i**3 + 0. Differentiate m(y) wrt y.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d + 151*d**3 + d.\nAnswer: 151*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - -4 - (-6)\/(-3). Suppose g + 11 = 3*b + s*g, -11 = -2*b - 5*g. What is the units digit of (-34)\/(-6) + 1\/b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 7*n. Let z be (-2)\/6 + 21\/9. Let k(r) = 9*r**2 + 0*r**2 - 7*r**z. Calculate k(l(q)).\nAnswer: 98*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 881290225.\nAnswer: 5, 457, 77137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 561784*p**4 + 4*p**3 + 2615*p**2 - 1053.\nAnswer: 13482816*p + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 980088616?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 201.4593 years in decades?\nAnswer: 20.14593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v**2 - 64*v - 296. Let a be y(-8). Solve a*k = 29*k + 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 5*y + 11 - 42, -102 = -4*b + 2*y. Let m be (-50)\/(-13) + -4 + 550\/b. Calculate the highest common divisor of 7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, 6, 5, -1\/12, -2.8.\nAnswer: -2.8, -1\/12, 0.8, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 444 and 1643 - (-17 + 62)\/3.\nAnswer: 4884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1816374391 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4 = -1. Let v = -5 + x. Let y be (9\/6)\/(2\/v). Sort 2, y, -1 in increasing order.\nAnswer: y, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 9:09 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 o when three letters picked without replacement from {q: 2, o: 7, n: 1}?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -0.01, 4, 1, 0.01?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.146 - 1.12. Let m = 159 + -159.174. Let o = m - u. Which is the closest to o? (a) -1.1 (b) -2\/11 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1152) + 2*sqrt(1152) + sqrt(1152))\/(sqrt(9) + sqrt(81)\/(sqrt(36)\/sqrt(4)) - sqrt(9)) + 3 + -3.\nAnswer: 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 4761584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1016*d**4 + 392*d**3 - 4*d - 187218?\nAnswer: 12192*d**2 + 2352*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -2011221?\nAnswer: 2012001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and -72.3?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -3. Let b = 2 - l. Let w be 4\/6 + (1 - 1). Is w bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -102 - -352. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -8*c + 14*c - 15*c - 16*c + 35*c - 13*c - 2. Let x = 19 - 4. Suppose x = 8*s - 3*s. What is o(s)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 45?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -15 + (-17 - -80) + -16.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37424 and 453419828?\nAnswer: 9356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 728*j**2 - 5*j + 7. Let w(v) = -365*v**2 + 2*v - 3. Give 2*q(d) + 5*w(d).\nAnswer: -369*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*b**3 + 719480*b**2 + 25886170545*b + 258789762450 = 0. What is b?\nAnswer: -71943, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/955? (a) 0.3 (b) -39 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -4\/7, -0.03, -10, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*b - 3*b + 138. Let r = b + 28. Which is smaller: 1\/2 or r?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1924 is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4214, -1, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 265378567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 21*u. Let d(l) = 1786*l. What is 2*d(x) - 171*h(x)?\nAnswer: -19*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3663.529um in millimeters?\nAnswer: 3.663529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -2, -9 in descending order.\nAnswer: 2, 0, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00074455 rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5858568323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h - 17*h - 12 = -8*h + q, 8*h - 5*q = -12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -402.8 and 12640845.\nAnswer: 12640442.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4*x = 5600, x + 4*x - 1394 = -a. Suppose 0 = 3*k - l - 5282, -a - 365 = -k + l. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3246)\/219)\/2 - 119\/(-17). Are k and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 6*r**2 - 102. What is n(-8)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -6*a**3 + 30. Let q(y) = -2*y. Calculate f(q(p)).\nAnswer: -72*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 12 + 3*a - 51*a + 18 to g*a + w and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2\/w**6*(((w**(-2)\/w)\/w)\/w)\/(w*w\/w**5))\/((w*((w\/w**1)\/w*w*w)\/w)**(2\/45))**(-5\/4) assuming w is positive.\nAnswer: w**(-107\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14657 is divided by 4863.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**2 + s**2 + 3*s**2 + (-1 - 1 + 0)*(-22*s**2 + 11*s**2 - 30*s**2).\nAnswer: 85*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zffz when four letters picked without replacement from fffffffzzzf?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4*3)\/4 + -8. Let a(l) = l - 13. Let d be a(13). Suppose -2*p + 3 + 5 = d. Sort w, p, -3 in ascending order.\nAnswer: w, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(8\/2)*1)\/((-44)\/352)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/(sqrt(28) + sqrt(112)\/sqrt(4)) + (sqrt(190)\/(sqrt(40)\/sqrt(4)*-2))**2.\nAnswer: sqrt(19)\/4 + 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.054 (b) -4\/3 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 40873 - 40879 = 7*u, -5*d + 5*u = 10 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/407 - 811\/1221. Let k = 0.47 + 3.03. Let t = k - 3.5. What is the closest to 6 in q, -5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 650 + -643. Let p(z) = 1. Let l(a) = a. Let v(k) = l(k) - 4*p(k). Let d(j) = 2*j - 9. Let o(y) = 2*d(y) - 5*v(y). What is o(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12.01 + 0.4.\nAnswer: 12.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*o - 290 = 66*o - 66*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17512 - -17575. Solve 472 = c*a - 4*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 2*k + 32, 48 = 3*y + 2*k - 3*k. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2825*j**4 - 2613*j**2?\nAnswer: -67800*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r + 17*r - 2 = 0. Suppose t = 4, -2*t + 4*t - 202 = -r*w. Is 17 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (29949\/745 + -42)\/((-1)\/(-35))\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 76567 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -62 (base 13) to base 4\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 1:07 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120931472.\nAnswer: 2, 17, 26153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 4:31 AM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**3 + 2*m**2 + 4*m - 7. Suppose 4*w - 15 = -5*i - 3, -3*i - 12 = -4*w. Let l = 3 + i. Let t be s(l). Round t to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18105 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 188151 to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -338*t + 285914*t**3 + 338*t.\nAnswer: 285914*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 63 = -4*j, -5*n - 2*j - 1 + 70 = 0. Calculate the greatest common divisor of n and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -691*q - 9039 = -298*q for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/232 and -137\/174?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 3*u + 6, -5*g = -g - 3*u - 6. Put -4, g, -1, -3 in decreasing order.\nAnswer: g, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/3 - (-75)\/45. Suppose 3*a = -x*n + 8, 2*a + 3*a - 3*n = -12. Suppose 21*c - 24*c + 2157 = a. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 10:00 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 96 + (43 - 97) + 19.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*g + 51 = 0. Let y(s) = s**3 + 4*s**2 - 2*s - 2. What is the remainder when g is divided by y(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6181 by 62.\nAnswer: -6181\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*w**2 + 14*w**2 - w**3 - 26*w**2 - 1 - w**4 as z + i*w**4 + t*w**3 + r*w + l*w**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -377199, -3017493, -10184007, -24139851, -47148135, -81471969?\n\"Answer: -377185*f**3 + f - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2110240 (base 5) to base 4\nAnswer: -20203332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2458, -5002, -7632, -10348?\n\"Answer: -43*j**2 - 2415*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 - 366*z - 2088.\nAnswer: -3*(z + 6)*(z + 116)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -154323 (base 6) in base 10?\nAnswer: -15243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2148, -3799, -6544, -10377, -15292?\nAnswer: -21283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.05, -125, -2\/11, 3848?\nAnswer: 3848","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/6)\/((-1106)\/(-2212))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5*y = 2*n - 92, -n = -2*y - 20. Let j(w) = -2*w**2 - 16*w - 18. Calculate the remainder when n is divided by j(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9832591m in kilometers?\nAnswer: 0.0009832591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -120, -125, -134, -147, -164?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/492 and -49\/2972664?\nAnswer: 2972664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1344, 5393, 12148, 21609?\nAnswer: 33776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-57)\/76)\/(8\/128)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -14\/103, 5152, -3, 2?\nAnswer: -14\/103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 6*s**2 - s. Calculate q(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11723591.86 + 0.3?\nAnswer: 11723592.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 3*r - 17. Let z be y(-6). Solve 49*n + 24 = z*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10784135 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3020.3 to the nearest 100.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/20 of a milligram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 306953.30400353 + -306959.504. Let j = -6.2 - w. Round j to seven decimal places.\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/10)\/(((-741)\/38 + 19)*184\/(-20))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2725\/4 at most 0.177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) + sqrt(1575))**2 + sqrt(63))*-4.\nAnswer: -9072 - 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 4)*(5*k**2 + 5*k**2 - 8*k**2).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 856 and 946522.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.25 * -0.024.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2528 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.12, 64 in ascending order.\nAnswer: -2, -0.12, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 + -0.6. Let r = -2.1 - n. Round r to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*b + 251*b = 8856 for b.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from itimiiiqttijhmt. Give prob of sequence itqt.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvjv when four letters picked without replacement from {v: 4, m: 5, j: 1, w: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54595*p**2*u**2 + 91*p**2*u - p**2 - 14*p*u - p wrt u?\nAnswer: 109190*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2203 divide 20576020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(1 - -1) + -2. Let z(m) = 2*m + 5 + 2 + 0*m - m. Let d be z(t). Sort 4, d, -4 in ascending order.\nAnswer: -4, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1350248 (base 9) to base 5.\nAnswer: -142212344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {t: 2, k: 2, b: 1, o: 3, c: 6}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 8*c - 10. Suppose 4*n + 11 = 5*l, 3*l + 1019 = -3*n + 1058. Let u(k) = -k + 1. Determine n*u(s) + v(s).\nAnswer: 2*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0287 in 0.4, -0.04, -8?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (162\/(-495))\/(273\/(-910)).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 44 divided by -3\nAnswer: -44\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-1))**(-26\/5)\/(p**(-2)\/(p**(-1\/5)\/p*p)))**(1\/20))**(-3\/4) assuming p is positive.\nAnswer: p**(-21\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, -0.2, 3\/8, 0.4, -3\/20.\nAnswer: -72, -0.2, -3\/20, 3\/8, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -0*l - 34. Let s = 65 - l. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 - 1)*(-428*z - 179*z - 689*z) - 2*z + 3*z + 0*z + (2 + 0 + 0)*(0 + z + 0) in the form g*z + l and give g.\nAnswer: 2595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-16)\/(-12))\/(-2))\/((-4)\/(-30)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*f + 4*f + 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 6355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 4*l - 112, -4*l + 14 = r + 6. Let s be (16\/r - (-4)\/(-6))*-1. Let d(y) = y**2 + y + 14. What is d(s)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2\/31 (b) -89 (c) 0.08 (d) 42 (e) 2 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34*56\/7140)\/(3\/(-5))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - (-34 + (4 - 9))) + -14\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 72\/251 or -1?\nAnswer: 72\/251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -183053 divided by -14081.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 - 2*c + 2*c**4 + 2*c + (c**4 + 2*c**2 - 46 - 197*c + 197*c)*(12 + 4 - 7).\nAnswer: 11*c**4 + c**3 + 18*c**2 - 414","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 m, and 1 i when three letters picked without replacement from llsssimlsl?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**4\/12 + 7*z**3\/6 + 146*z. Determine s(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**5\/160 + 5*t**4\/64 + 9*t**3\/4 + 98*t**2 + 2*t. Factor s(m).\nAnswer: -3*(m - 9)*(m + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, w: 7}. Give prob of picking 2 s and 1 w.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 32*b + 213. Suppose -9*a + 3 = 3. What is the units digit of j(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 3:00 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -5*g + 3 + 0*g + 4*g + 0. Let b = -108 + 103. Give c(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7661, -6913, -6165, -5417, -4669?\nAnswer: -3921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -14)\/(3 - 2) + 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 8. Suppose 0*h = 3*h. Let k(j) = -j**2 - 2. Let v be k(h). Which is the third smallest value? (a) v (b) x (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -696 divided by 8?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -5*l - 2. Suppose -2*y = 0, -q + 2*y = 4*q + 35. Let r be x(q). Suppose -2*z - 3 = z, 3*z = -4*i + r. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**1\/i))**(1\/6)\/(i\/(i*i**(1\/6)))**24)**(-1\/23) assuming i is positive.\nAnswer: i**(-25\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*a - 7 - 1 + 2.\nAnswer: -20*a - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, m: 2, h: 1, i: 1, r: 4, a: 1}. Give prob of picking 3 j.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 761 = 4*p, 0 = 5*p + 5*x - 543 - 412. What is the greatest common divisor of 90 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45.041 + 45. Round y to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/(-6))\/(2\/(-63)). Let x(o) = 8 - 3 - 2*o + 17. Let w be x(8). Calculate the greatest common factor of w and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b - 7. Let v be n(-7). Let m = -11 + v. Suppose 0 = y + m*y - 2*i - 78, 2*i + 98 = 5*y. Solve 2*w + 2*w = y for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlqlq. Give prob of picking 2 q.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 73*b + 28 + 2*b**2 - 162 + 54 + 48.\nAnswer: 2*b**2 - 73*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2. Let a(s) = -1900*s**2 - 21*s. Determine a(k(j)).\nAnswer: -1900*j**4 - 21*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t**(-6))*t**(-1\/4)*t assuming t is positive.\nAnswer: t**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 32482693091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaiib. Give prob of sequence ia.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 32*g**2. Let y(z) = -4*z**2 + 2*z + 2. Let d(a) = -21*a**2 + 11*a + 11. Let o(f) = -2*d(f) + 11*y(f). Give o(m(l)).\nAnswer: -2048*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -172.056 to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 24591?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 117633395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**3*n**2*s**2 + j**3*n**2*s + j**3*n*s**3 - j**2*n**2*s + j*n*s**3 - 91*n**2*s**3 wrt s?\nAnswer: 6*j**3*n + 6*j*n - 546*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 625.59991434 + -625.6. Round f to six dps.\nAnswer: -0.000086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-200)\/(-4)*(-2)\/(-5). Suppose 7*m = 17*m - u. Solve n = -4*n - m*k - 28, -2*n = -4*k - 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1033, -1435, -1835, -2233?\n\"Answer: s**2 - 405*s - 629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1047830*i**2*w + 8*i*w + 2*i - 3898*w + 1 wrt i?\nAnswer: -2095660*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 348 = -2*g + 31*g. Let m be ((-2)\/6)\/(g\/144). Let k(s) = -3*s + 2*s**2 - 3 - 3*s**2 - s. Give k(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10710*k - 4715*k + 4025*k - 5972*k)*(2*k**3 - k**3 - 2*k**3 - 1).\nAnswer: 17372*k**4 + 17372*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -78 - -77. Which is the third smallest value? (a) v (b) 4 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 - -1674679?\nAnswer: 1674697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -13. Suppose y = 5*r + 31. Let j be (r - 0)*(-33)\/22. Solve -5 = -j*q + q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -16\/3 (b) 6 (c) -3\/4 (d) 0.1 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 6*m**3 + m**2 + m - 1. Suppose 0 = -3*f - 5*a + 23, 12 = a + 2*a. Let q be v(f). Solve 0 = -4*j - 1 - q for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31422 + 31422.00013791. What is m rounded to six dps?\nAnswer: 0.000138","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-34)\/(-3) - 4\/(-6). Let h = 2 + c. What is the smallest common multiple of h and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -33\/5 (b) 0.2 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-867 + 327 + 432)*(-4*x + x + 5*x).\nAnswer: -216*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31522135.\nAnswer: 5, 6304427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1324402 (base 7) to base 13\nAnswer: -61528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6127 - 1995 - 3*f - 2062 - 2064.\nAnswer: -3*f + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(2\/5)\/b))**5\/(b\/((b\/(b\/b**(-2\/3)))\/b)*b**(6\/11)))**(4\/5) assuming b is positive.\nAnswer: b**(632\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -33*u**2 - 2*u. Give f(-1).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -534418, -1068840, -1603262, -2137684, -2672106, -3206528?\n\"Answer: -534422*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20198 and 492619121.\nAnswer: 10099","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 4. Let s = l - -8. Suppose 2*k + 7900000 = s*k. Round k to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.4 - 2. Let c = 19 + -21.8. Let n = c - -2.4. What is the closest to -1 in -2, l, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 690.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -447627617*g - 176167090?\nAnswer: -447627617","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**5\/60 - 5*t**4\/12 + 11*t**3\/6 - 3*t**2 - 5. Let p be 2\/5*60\/3. Calculate f(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**1)**(-6)*(((b*b**0)\/b)\/b*b)\/(b\/(b*b**(1\/7)*b*b)*b))\/(b**(-2\/9)*(b\/(b*b**(-3\/4)))\/b*b\/(b*b**(-2))*b**(-3)) assuming b is positive.\nAnswer: b**(659\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*v + 5*g, -4*v + 6*g = 3*g - 75. Is 14 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1152 - -1156. Solve t*i - 8 = z, i - 2*z = -5*z + 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 76*w + 1585. Let p be d(93). Let f = 0.3 + -0.5. Put 1, p, -0.1, f in decreasing order.\nAnswer: p, 1, -0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 - 24 = c + 7, -2*t - 4*c = -18 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 33*n**3 - 44*n**2 - 671*n + 690. Calculate h(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 - -39. Suppose -3*a + 4*d + y = 20, -a + 4 = 2*d. Suppose 2*z = a*z. Let o(u) = u**2 - u - 6. What is o(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 30*s - 52. Let m be z(-28). Let d(v) = -v**3 + 2*v**2 + 3*v + 3. What is d(m)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 3600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -80*v - 8*v**3 + 30*v**2 + 42*v + 38*v wrt v.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, n: 1}. Give prob of picking 4 s.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 + 11708*a.\nAnswer: a*(a + 11708)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1523348791 a multiple of 449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g + 11 - 5 + 3*g)*(0*g + 7 - 4 - g) in the form h*g**2 + y*g + o and give o.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 52*q - 34*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -273497 and -0.164.\nAnswer: 44853.508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -127532888, -127532890, -127532894, -127532900?\n\"Answer: -i**2 + i - 127532888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i + 163 + 200 - 291 = 0 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3 + 0 = -3*j, -5*i + 4 = -4*j. Suppose 4 = 3*d - 14. Suppose -d*x = -4*x - 6. Solve i*n + x*u - 15 = n, n + 4*u = 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 3*p + 18, 5*h + 2*p - 4 = 1. Suppose 3808 = 3*z + z + b, 3824 = 4*z - h*b. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (24\/(-20))\/(3\/(-20)). Let q be (-3)\/12 - (-290)\/b. Suppose -5*f + q = -f. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (58\/145)\/((-2)\/(-5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = c + 2*c. Let y(s) = 10*s**2 - s - 3. Let t be y(-1). What is the highest common divisor of t and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/424820 and 23\/110?\nAnswer: 424820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -65213 (base 15) to base 10\nAnswer: -321093","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*j = -148*j. Solve 5*p - z = j, 11*z = -3*p + 9*z for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 10970820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 182 + 55. Find the third derivative of -2*y**3 + 0*y**3 - 97*y**2 + t*y**2 wrt y.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 176?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -112 - -115. Suppose 0 = o*l + 57 - 234. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 12*g - 5. Let y be a(2). Let c = 62 + -60. Suppose u + l + 166 = c*u, 0 = -3*u + 4*l + 493. What is the greatest common divisor of u and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25847010?\nAnswer: 2, 3, 5, 7, 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen sixths of a decade?\nAnswer: 340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 359 = 121. Suppose -10*l = -12*l + m. Does 40 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 7*a**3 - a - a + 9*a**3 - a**4 = 0. Calculate a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31.6 - -31.084. Let n = -100.5 + 100. Let a = n - q. What is a rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12346073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48274 - 96543\/2. Let 3\/2 - w*s + 1\/2*s**2 + 1\/2*s**3 = 0. What is s?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -29*g**3 + 66*g + 239. What is the thousands digit of t(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 5*k**3 + 3*k**2 + 15*k + 310. Let b(w) = 5*w**3 + 2*w**2 + 12*w + 313. Give -5*b(a) + 4*c(a).\nAnswer: -5*a**3 + 2*a**2 - 325","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40 - -87. What is the highest common divisor of a and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yfnfymntytyimy. Give prob of picking 2 m and 2 t.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*d**2 + 3 + 5 - 5 - 3375*d - 3.\nAnswer: 12*d**2 - 3375*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 242115 (base 8) to base 14.\nAnswer: 22381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3733 or -130626\/35?\nAnswer: -3733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*t - 32, -2*t + c = 2*c + 18. Let f = t - -6. Let j be 1 + f + 22\/2. Solve -3*q = -j*q + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -523*k - 525. Let b be j(-1). Sort -6, -1, 6, b, -3 in decreasing order.\nAnswer: 6, -1, b, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -6, 1\/6, -108?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003827926 rounded to four dps?\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24568\/26 - (-5)\/65. Suppose -54*f = -52*f + 4, 0 = p - 5*f - d. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**2. Let c be 8\/10*35\/14. Suppose c = -2*y, -2*y = 2*v + 2*y - 4. Let m(p) = -v*p + 3*p + p - 4*p. Give a(m(i)).\nAnswer: -32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 143444*d - 430274. What is s(3)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnbnownbbbvbb. What is prob of picking 1 n and 1 b?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*a - 13*a + 23*a + 14*a - 7*a)*(0*a**2 + a**2 + 17*a**2).\nAnswer: 774*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aiaaqmikmmm. Give prob of picking 2 a and 1 q.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of 49*r**2 + 1\/24*r**4 + 0 + 0*r + 0*r**3. Let a(g) = -2*g**2 - 17*g. Give n(a(u)).\nAnswer: -2*u**2 - 17*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-62)\/(-22) + 4\/22. Let s be l*((-10)\/(-6))\/5. Which is the second biggest value? (a) 0 (b) s (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-4*(3*(((sqrt(11) + -2)*3)**2 + sqrt(11)) + (sqrt(176)*1)\/sqrt(4)).\nAnswer: -1648*sqrt(11) + 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 37*a + 375. Let l(c) = 105*c + 1122. Calculate -6*l(k) + 17*x(k).\nAnswer: -k - 357","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 391145122 to the power of 1\/5, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 0*x + 0*x)*(-1 + 1 + 1)*(-5*x - 1 + 1)*(3 - 1 + 2)*(-5 - 2 + 1).\nAnswer: -240*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-165)\/(-66)*(32\/(-140))\/(-2). Let p = -1 + 0.99. Let h = 0.11 + p. Sort -2\/3, -15, m, h in decreasing order.\nAnswer: m, h, -2\/3, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5341 + -5341.1. Which is the closest to u? (a) -2\/7 (b) 2\/3 (c) 192 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8 + 6074 + -5 + 11.\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2410.6 + 2411. What is the closest to -4 in -0.1, 1\/22, -2, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2. Let w(l) = l**3 + 10*l**2 + 5*l - 5. Let b(x) = -4*c(x) - w(x). Let h be b(-5). Solve -g - h*f = 4*g - 20, 2*g + 7 = f for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/5 - 26\/(-650)*365.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of a**3\/3 - 4*a**2 + 12*a - 2. Let j be (-3 + 9)*9\/6. What is the units digit of u(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*t - 12*t - 64 + 6*t + 32*t - 5*t in the form w + b*t and give b.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*y**3 + 105*y**3 + 381*y**3 + 316*y**3.\nAnswer: 885*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 1:44 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6687459 by 3.\nAnswer: -2229153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 480651*g**2 + 148*g + 146. Is p(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*w + 5*w - 4*w)*(-3828 - 638 - 3051 + 838 + 434) to l*w + a and give l.\nAnswer: 24980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6)\/n*n)\/(n\/(n**8*n))*n\/(n*n**(1\/8))*n*n\/(n**1\/n) assuming n is positive.\nAnswer: n**(31\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*o + 7 - 28 = 159 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (-3)\/9 + (-152)\/(-6). Let p = 32 - i. Solve c + 20 = p*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4685119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -201*o**4 - 66?\nAnswer: -804*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fnnmf. What is prob of picking 1 m and 2 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 26*k**2 + 4*k - 4. What is the units digit of l(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4 + 5)*(-134)\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 1 = -r - 2*u, 3 = 2*r + 5*u. Let t be ((-37)\/3)\/(r\/(-3)). Let q = -25 - t. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -115 + 114.985. Let g = -0.089 + 0.189. Is z less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -847, 3, -1, 6, 2535 in ascending order.\nAnswer: -847, -1, 3, 6, 2535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 46?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z**2 + 238*z - 683. Determine u(-81).\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*p*x**3 - 19*p*x**2 + 3535*p - 14788*x**3 - 33*x**2 wrt p.\nAnswer: -6*x**3 - 19*x**2 + 3535","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*k = 4*y - 2, 5*y - 5 = -k. Let z = y + -7. What is the remainder when (-147)\/z - (-2)\/(-4) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 234*l - 1639. Calculate k(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 981 = -5*u + 971 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 25\/2 of a kilogram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0155837278 rounded to four dps?\nAnswer: 0.0156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 14*c**2 - 887 - 16*c**2 + 1003 + 54*c = 0.\nAnswer: -2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.613 - -0.433. What is the nearest to 6 in 2\/19, -0.3, a, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7056\/1344*(-4)\/98.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s - 2. Let d be -4 + (-2)\/2 + 7. Suppose -d*p - 88 = -82. What is m(p)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11826? (a) 51 (b) 4 (c) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19447849273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -1.6. Let z = f + 0.7. Let w = 887.7 + -888. What is the smallest value in w, 17, z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (30\/(-12))\/((-1)\/2). Suppose 39 = -v - 3*x, 0 = -k*v - 0*x + x - 115. Let t be (v\/20)\/((-2)\/5). Put -3, t, -6 in decreasing order.\nAnswer: t, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k - 2011. Let v(h) = -h**2. Determine v(g(t)).\nAnswer: -4*t**2 - 8044*t - 4044121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1841?\nAnswer: 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21112011000020200 + -12?\nAnswer: -21112011000020212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0035*70.7408.\nAnswer: 0.2475928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**3 - 48 + 32 + 6 + 10.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 6271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14106 - -72005. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 5*q**2 + 7*q + 9. Let c be r(-6). Suppose -c*o = n + 3, -6*o - 2*n - 6 = -o. Let m(p) = p**2 + p + 4. Calculate m(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 8*w**2 - 10*w - 26. Determine g(-6).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5*(sqrt(76) + (sqrt(76) + -2*sqrt(76))**2) - (2*sqrt(76) + 4) - (sqrt(76) - ((-2*sqrt(76)*1)**2 + sqrt(76)))*4) + -4.\nAnswer: -28*sqrt(19) + 1660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(2\/(-1) - 0). What is the remainder when ((-194)\/(-6))\/(l\/(-12)) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -4. Let l(z) = -2*z - 3. Let t be l(d). Let f = 19 - t. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4366275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -4*h + 2, 4*h - 8 = -5*z + 2*h for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1034 divided by -18.\nAnswer: -517\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*x**4 - 38*x**4 - 11*x**3 + 17*x**4 - 2*x**2 to g*x**2 + z*x + k*x**3 + h*x**4 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88347 and 153255?\nAnswer: 1803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of 1\/11*x**3 + 0 + 2\/11*x**2 + 1\/66*x**4 + 8*x. Factor m(b).\nAnswer: 2*(b + 1)*(b + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -r + 337, r - 171 = -4*i + 142. Suppose -2*h = r + 111. Let l = -134 - h. Calculate the greatest common divisor of l and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2*f - 340, -c - 288*f + 293*f = -382. Calculate the least common multiple of c and 24.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1085.6 - -1086. Sort 1\/21, 1.4, m in ascending order.\nAnswer: 1\/21, m, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -14*g - 23. Give p(-18).\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 946199582 a multiple of 1181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -962 - -980. Let q(i) = -37*i**3 - i - 2. Let t be q(-1). What is the greatest common divisor of t and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y. Let g(c) = -167*c - 8. What is s(g(f))?\nAnswer: -167*f - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 4:00 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12 + (2 - -1)\/1. Let p = b + 2. List the prime factors of p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 13 = -5*x, 56*x + 11 = d + 49*x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 286371 + -286376. Suppose -5*c - 16 = -6. What is the fourth biggest value in -1\/5, x, c, 4\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2 + sqrt(605))*2 + 1 + (1*sqrt(605))**2.\nAnswer: 22*sqrt(5) + 613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + 0. Let n be (-4)\/(-5)*(-7 + g). Factor -x + 2\/3*x**2 + 1\/3*x**5 + 2\/3*x**3 - x**n + 1\/3.\nAnswer: (x - 1)**4*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9347.716 centuries in years?\nAnswer: 934771.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 961343*m**2 - 480688*m**2 + 5 + 25*m**3 - 480655*m**2 - 5.\nAnswer: 25*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/5, 1\/44, 2\/3, -11\/2, 4, -2\/9?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177535 is divided by 875?\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 854235.6 nanograms?\nAnswer: 854.2356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000000 + -1001?\nAnswer: 221222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3 - 8 - -4) + 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 3866812?\nAnswer: -3866811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1922 - 130 = -128*q for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/69136 and 17\/4.\nAnswer: 69136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 4 = -3*p. Let v = -13.438 - -13.138. What is the biggest value in 0, v, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001739703 rounded to 5 decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 8, i: 8, b: 1}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -108126.642 - -108232. Let t = -106.3 + s. Round t to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46\/3 + -143\/12. Suppose -1169 - 1201 = 3*i. What is the common denominator of r and (i\/(-16))\/1*(-4)\/(-10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5*y - 62 = 0, 4*f + 5*y = 3*y + 68. Suppose -8 - 5 = -2*p + 3*z, 0 = -5*p - 3*z + 85. Let k = p - 9. What is the remainder when f is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105.38382 months to decades.\nAnswer: 0.8781985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 500 and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o**7\/6300 + o**6\/900 + o**5\/300 - 5*o**4\/12 - 2*o. Let t(x) be the third derivative of f(x). Factor t(h).\nAnswer: 2*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 7*t - 19. Let q(c) = 2*c - 2. Let y be q(-2). Let i(l) = -l + 3. Let g(a) = y*w(a) - 39*i(a). List the prime factors of g(-8).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 77023 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 247 + -243. Suppose 0 = p - 0 - 8. Solve 3*t = -p - f for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 157*j**2 - j + 1. What is the units digit of s(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13964\/19 + 1562087\/2128. Find the common denominator of -6 + ((-5880)\/(-189))\/20 and q.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1589 plus -0.1?\nAnswer: -0.2589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 + 9. Let w(v) = -v**2 - 5. Let s(k) = 3*g(k) + 5*w(k). Let z be (-4)\/(-14) + (-23)\/7. Is s(z) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 4. Let b be w(4). Suppose b = 4*u - 0. Solve -5 = u*f - 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 64*w**3 - 25731*w**2\/2 + 603*w\/2 = 0?\nAnswer: 0, 3\/128, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.316 - 291.684. Let j = 445 + l. Let w = j + -152.778. What is w rounded to two dps?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**2 - 5*s**2 + 5*s**2 + (50*s - 16*s + 7*s)*(-1 + 2*s + 1).\nAnswer: 80*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -138 + 8*a**3 - 2*a**3 - a**2 + 4*a + 137 to the form q + t*a**2 + m*a + j*a**3 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(225) + sqrt(225) + 2*(sqrt(225) - sqrt(225)*-2) + -1*sqrt(225)*2)\/((sqrt(640)*6)\/sqrt(8)))**2.\nAnswer: 125\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*x + 4 = 42*x. Factor -k + k**4 + 2*k**4 - 2 - 3*k**2 + 3*k**3 + 4*k**x - 2*k**4 - 2*k.\nAnswer: (k - 1)*(k + 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.983196 meters in kilometers?\nAnswer: 0.008983196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2*q - 4)*(-3 + 1 + 6 + (2 - 1 - 2)*(3 - 4 + 2)) + 4*q - 2*q - 4*q + 55*q + 725 - 657 - 62*q as i + s*q and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*v - 2*v = -2105 + 665 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l + 28 - 182 = 254 for l.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 6*s**2 + 5*s - 11. Let p be j(5). Suppose 156*n = p*n - 216. What is the remainder when 105 is divided by n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*k*z**4 + 15*k*z + 22241*z**5 + 2*z**2 - 12*z + 58 wrt z?\nAnswer: 60*k*z**2 + 444820*z**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 45*t - 39. What is a(-1)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y*y*y*y*y**(8\/9)*y)\/y)*y*y*y)**(-50)*(y\/(y**(-37)*y))\/(y\/((y\/(y*((y**(14\/11)*y)\/y*y)\/y))\/y)) assuming y is positive.\nAnswer: y**(7739\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*t - 258 + 61 = 175 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5289 and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-116 + 188 - 109) + -13 + 2.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/((-16)\/(-4) + (-10)\/((-25)\/(-5))). Let j = -4 + 30\/7. What is the nearest to j in 4, v, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 67*b**7\/168 - b**5\/40 + b**4\/12 + 46*b**3\/3 - 36. Let q(n) be the third derivative of d(n). Is 14 a factor of q(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011212102 + 2011201?\nAnswer: -1002200201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (5 - (-4 + 4)) - (14 - (-28 + 51)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -153177, -153171, -153165, -153159, -153153?\n\"Answer: 6*l - 153183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5149743*r**4 + 8*r**2 - 537*r + 4337?\nAnswer: 123593832*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 22730, 22723, 22716, 22709, 22702?\n\"Answer: -7*a + 22737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02304 to 3 decimal places.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*x**4 + 2*x**4 - 6*x**4 + 2*x**3 - 31*x**2 - 2*x**2 wrt x.\nAnswer: -24*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8585495?\nAnswer: 5, 1717099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*(sqrt(1539) + (sqrt(1539)*2)**2) - ((sqrt(19) - sqrt(475)*2) + (sqrt(1216) - (sqrt(1216) + 2)**2))).\nAnswer: -11094 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*g - 491 = 128*g. Let h = -443 + g. Calculate the least common multiple of 33 and h.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 1517*v**2 + 18*v - 468. Let a(u) = 3033*u**2 + 33*u - 935. Let l(y) = -6*a(y) + 11*f(y). What is the first derivative of l(o) wrt o?\nAnswer: -3022*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/7)\/l)\/(l*l*l*l**(1\/7)*l*l) assuming l is positive.\nAnswer: l**(-46\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 63559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -728*s**2 + 352*s**2 + 686 + 379*s**2 + (1 + 2 - 4)*(3*s + s**2 - 3*s).\nAnswer: 2*s**2 + 686","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 2*q**2 + 3*q - 4. Suppose -31*m = -0*m. Suppose -31*w + m*w = -93. Calculate t(w).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32\/8 + -1*2*-75?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 19*u + 44. Let o be n(22). Let c(w) = 55*w**2 - w + 1. Let s be c(1). What is the units digit of (4*-1)\/(o\/s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t + 4*t - 4*t + (-1 + 0 + 3)*(-5*t + t + 3*t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -557, -569, -593, -635, -701, -797, -929?\n\"Answer: -m**3 - 5*m - 551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 154?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 120011031110 (base 4) to base 9\nAnswer: 12781458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2*i - v - 4, -2*i - 9 = 3*v. Let s = -2876 - -2874. Suppose -5*t + 37 = 12. Sort t, -9, i, s in increasing order.\nAnswer: -9, i, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 + -28. Let m = j - -108. Calculate the remainder when m is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 456*m**3 - 149*m**2*r - 191*m*r - 140*m - 2*r wrt m?\nAnswer: 2736*m - 298*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 7*t**2 + 6*t + 2. Let s be (-4 - (0 + 2)) + -2. Let q be (s\/(-1) + -2)\/1. What are the prime factors of j(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 45941877 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*u - 2. Let q(s) = 2*s**2 + u*s**2 + 3*s - s. What is the tens digit of q(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - l - 11, 1 = -2*b + l + 8. Let f(z) = -z**2 - 15*z - 17. Let c be f(-14). Let h be ((-17)\/c)\/(12\/36). Solve b*r = 5 - h for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2099, -2100, -2099, -2096, -2091, -2084, -2075?\nAnswer: -2064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 607400.\nAnswer: 2, 5, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 308*s + 113750. Give c(217).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-27))\/(6138\/7533)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -d**4\/12 - 6958*d. Let c(h) = -55*h + 6. Calculate c(o(g)).\nAnswer: 55*g**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 + 876*z + 24552.\nAnswer: 4*(z + 33)*(z + 186)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5419636 is divided by 1354885?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 8*a**2 - 8*a + 7. Let r be i(7). Factor h**5 - 2*h**2 - h**3 - h**4 + r*h**5 + 3*h**2.\nAnswer: h**2*(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13741948, 27483917, 41225886, 54967855?\n\"Answer: 13741969*q - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 5*j + 25, -2 = 3*x + 3*j + 1. Suppose x*s = 2*d + 136, d + 1 = -0. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27052590 and 750.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 4*h, -2*b + b = 2*h - 3. Let c(t) = 1. Let m(l) = 9*l - 54. Suppose -3*g + 51 = -111. Let q(y) = b*m(y) + g*c(y). Let w(k) = -k. Give q(w(p)).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3368*r**2 - 244622*r + 244622*r as p + l*r + b*r**2 and give b.\nAnswer: -3368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 393747479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52 - -54. Let u(r) = 3*r - f*r + 7*r + 0 + 1. Does 19 divide u(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 5*d + 1 = 0, -5*x - 3*d = -8370 + 8382 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.1 + -2.1. Let o = -7 - -7.4. Which is the closest to u? (a) o (b) 3 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -k - 4*k. What is the units digit of 1420\/k - (-1)\/(4 + 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.48 times 0.134218?\nAnswer: 0.06442464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 0.07, 6\/23, 5\/3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a*x**4 - 4*a + 36*x**5 - 11*x**2 - 18*x wrt x?\nAnswer: -12*a*x**2 + 720*x**3 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4891401617 to the nearest integer?\nAnswer: 1698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 778 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l + 2*x - 7 - 0, 3*x - 9 = -l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -70 - -58 - (0 - 13)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*k + 6 = 5*n + 55*k, -50*k - 42 = -30*n + 34*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 14 = -67*x + 63*x, b = x - 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*k - 23*k**3 + 0*k**3 + 3*k**3 - 2*k**2 - 5*k**3 to the form r*k**2 + z + h*k + o*k**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5*w**2 - 2*w + 1. Let l = 101 + -100. Give d(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 50545347.\nAnswer: -2\/50545347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 100494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4027165 divided by -6?\nAnswer: 4027165\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 0 + -3 + 581 + -574?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 181\/20430 and -169\/1116840?\nAnswer: 3350520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 40878760 divided by 1651?\nAnswer: 24760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*h + 6 = 0, 3*h + 31 = 5*t. Let d = t + -3. Is 5\/(d\/(-3)) - -40 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -91 + 232. Let w be (5 - 0)\/(-1)*-1. Suppose -2*x = -w*x + j. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 24317, 48768, 73227, 97700, 122193?\n\"Answer: u**3 - 2*u**2 + 24450*u - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 3*k + 40 - 12, -5*q = -3*k - 8. Suppose -5*s = -4*j + 13, -2*j - q + 3 = -s. Let d = -9 + 9. What is the nearest to d in 1\/5, -2\/9, s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 725781503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 3059, 7344 in increasing order.\nAnswer: -2, 5, 3059, 7344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/23*i**4 + 0*i**3 - 2\/23 + 0*i + 4\/23*i**2.\nAnswer: -2*(i - 1)**2*(i + 1)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 50*t**2 + 187*t + 135. Let r be p(-46). Put -81, 5, r in decreasing order.\nAnswer: 5, r, -81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-10) + 16\/(-20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2743811 is divided by 548760?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -87107 or -85512?\nAnswer: -85512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/8 + 23*n**2\/8 - 17*n + 14.\nAnswer: (n - 4)*(n - 1)*(n + 28)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1411 - -4?\nAnswer: 1420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5*j. Let k(s) = -1. Let t(l) = -3*k(l) - p(l). Let y be (-6)\/4*(-4)\/(-3). Let a = y - -4. Determine t(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**27\/(h*h*h**(-15))*(h*h**(-5)*h)**33 assuming h is positive.\nAnswer: h**(-59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -593734, -593730, -593726, -593722, -593718?\n\"Answer: 4*t - 593738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1)**(-2\/11)\/(r**(-5\/3)*r\/(r\/r**(-4))) assuming r is positive.\nAnswer: r**(181\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 693 times -70310\nAnswer: -48724830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 e when two letters picked without replacement from eukkeuukeuueke.\nAnswer: 25\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -0.23 (c) 0.3 (d) 4 (e) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/75 or -193339?\nAnswer: -1\/75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, c: 2, b: 1, m: 1, l: 1, z: 1}. What is prob of sequence mz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 43, 27, 1, -35, -81?\n\"Answer: -5*h**2 - h + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-140)\/210)\/((-4)\/2778) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -344 + 337 - (1 - -6).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 29? (a) 6 (b) -0.1 (c) 1 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**3*m**5 + 19*a**3*m**4 + 2*a**3*m - 6*a*m wrt m?\nAnswer: 20*a**3*m**3 + 228*a**3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2919*k + 46 - 1465*k - 1456*k - 456*k**2 wrt k.\nAnswer: -912","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w. Let z(d) be the second derivative of d**3 + 29*d**2\/2 + 9*d - 5. Calculate z(u(l)).\nAnswer: 12*l + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z**3 + 2*z**2 + 1. Let t be o(2). Let r = t - -27. Solve -3*j = -1 + r for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -302.\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 5*a**2 + 2. Let l(h) = -2*h + 5. Let v(b) = b - 2. Let p(k) = 2*l(k) + 5*v(k). Calculate f(p(o)).\nAnswer: 5*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1209 less than 13?\nAnswer: 13.1209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 4 = -7*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10451627 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (1 - (-2 - -1)). Let t(v) = -5*v**3 + 8*v**2 - 5*v + 9. Let i(w) = -2*w**3 + 3*w**2 - 2*w + 3. Determine h*t(x) + 8*i(x).\nAnswer: -x**3 - x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*y - 139*y + 5*q = 20, -2*y + 5*q - 20 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0*m + 20 = m, 4*j = -3*m + 84. Calculate the lowest common multiple of -1 - ((-7)\/2)\/((-60)\/(-120)) and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*f + 60, -30*f - 25 = -32*f + g. Solve -3*i = 22*s - 24*s - 5, -4*s + 2*i = -f for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/1116267 and 19\/457266.\nAnswer: 37953078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 7187356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.062036 milliseconds in seconds?\nAnswer: 0.002062036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1365720 is divided by 136572?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.3 + -51.3. Let u = -53 - n. What is the closest to 0.1 in -0.5, u, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 42 = -2. Suppose 0 = -2*n + v, 5*g + 2 = -4*n + 22. Sort 38, -3, 2, g in descending order.\nAnswer: 38, 2, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 18 and 164\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -46435418 and -46435420 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2720536 is divided by 906834?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 360.0846807665 and 0.2.\nAnswer: 360.2846807665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 - 7. Let h = 32 - k. Which is the second smallest value? (a) h (b) 83 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.1 + -3.9. Let r = 0.01 + 0.39. Let p = -0.1 + r. Which is the closest to 0.4? (a) x (b) p (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 151*b**2*j**3*y + 3*b**2*j**3 + 18195*b**2*j**2 - 145*j**3*y wrt y.\nAnswer: 151*b**2*j**3 - 145*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 919a45 + 5?\nAnswer: 919a4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1521740*j**2 + 2718648*j?\nAnswer: 3043480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 74358 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and 132.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1048*q**2 + 1043*q**2 + 2*q + 2*q - 79*q**3 - 4*q to d*q + s*q**3 + h + t*q**2 and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 2, 1\/3, 37, 443\/20?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d - 1 - 2 + 0 + 2*d**3. Let c(m) = -1454*m + 1455. Let v be c(1). Calculate the least common multiple of 4 and j(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85789510 is divided by 145?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.206403 to three decimal places.\nAnswer: 0.206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10427.9403 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 1:23 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 179899493 to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/9 + 465\/27. Suppose 51*d - 3*o = 56*d - 7, -2*o = -d + 4. Solve -5*i + d = z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -99587 + -11?\nAnswer: -99598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 198*h - 200*h, 5*v + 3*h = 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -465*p + 168 = -437*p. Calculate the remainder when 116 is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*q*t**2 - 2*q*t - 4*q + 39055*t**2 - 187824*t wrt t?\nAnswer: 24*q + 78110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w - 14. Let r be d(16). Let i be (2\/r)\/((-18)\/6 - -2). Sort i, 3, -3, 2 in ascending order.\nAnswer: -3, i, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*-3*8\/36?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9779659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, p: 1}. Give prob of picking 3 k.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*a + 415812 = 0, 142997 = -2*i - 3*a + 558814. Suppose -144994 - i = -10*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 - 980986193\nAnswer: -980986192.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence guuu when four letters picked without replacement from gppppggugpugu.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and 25455727?\nAnswer: 25455728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + l - 1)*(2*l**2 - 4*l**2 + l**2) + 0*l**3 + 389*l**2 - 407*l**2 + 2*l**3.\nAnswer: l**3 - 18*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*p**2 + 30705554*p + 56043277.\nAnswer: -4*p + 30705554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6 and 13404038429.\nAnswer: 13404038423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 418354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/33 - (70\/(-22) - 0). What is the second derivative of 2139*y + y**3 - 24*y**5 - y**p - 2140*y - 5 wrt y?\nAnswer: -480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 4:06 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 5) in base 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.726 - -3.726. What is the third biggest value in -1\/2, z, -0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 c when two letters picked without replacement from {u: 4, x: 2, c: 3, m: 2, t: 2}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/35736610 and 14\/2552615?\nAnswer: 35736610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 20 = -2*v - 2*p, -p = -5. Let f = 127 + -125. Suppose s + 3*q = 18, v*s + f*q = 88 + 15. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 0. What is the third derivative of -2*i**2 + i - i + r*i**3 wrt i?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1218 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, s: 4, m: 2, z: 4}. Give prob of picking 3 z.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 36\/27*(-3)\/(-10)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 7 - 3*m + 2)*(2*m + 4*m + 5*m).\nAnswer: -33*m**2 + 66*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 242142 - 10?\nAnswer: 242132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/401214 and -109\/24?\nAnswer: 1604856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 2*a - j + 6, 5*a - 2*j - 135 = 0. Calculate the remainder when 274 is divided by a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 2:24 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2883*g + 2893*g - 336640. Is g a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 7*r - 3. Suppose r = 5*h - 24, 0 = 4*l + 4*h - 236. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 0*i + 9. Let f = i + -1. Suppose 3*r + 20 = f*a, 0 = -4*a - 0*r - 3*r + 4. What is the remainder when 11 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 j when four letters picked without replacement from {l: 14, j: 4}.\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + -1 + 1 - 4. Let m(v) = -v**2 - 4*v + 4. Let s be m(q). Does 2 divide (27\/(-6))\/((-3)\/s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*a + 26 = -370 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + -12. Suppose -8 - w = -4*j. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -682*j = -693*j - 22. Which is the third smallest value? (a) 0.3 (b) 1\/782 (c) 2 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j**3 + 19*j**2 - 5*j - 7. Let x be c(6). Let a be x + 1\/((-132)\/8). Let o = a - -1181\/66. What is the common denominator of o and -71\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10391, -20787, -31183, -41579, -51975?\n\"Answer: -10396*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 1 + 23 = 0. Suppose 50*l + 2*j = 47*l + 36, -j = -l + 17. Calculate the least common multiple of v and l.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z - 2 + 2 + (2 - 1 - 2)*(3*z - 6*z + z) + 0*z - 2*z + 3*z - 5*z - 2*z + 4*z + (z + 2*z - z)*(3 - 3 + 3).\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 62593905 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l + 29 - 99. Let t be (3*(1 + l\/(-9)))\/1. Let z(k) = 5*k**2 - k + 1. Let c be z(1). What is the closest to t in 0.01, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46399277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 + 7 + (4 - 9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(156)*-3 - (sqrt(156) + -4*-3*sqrt(156)))\/(-4*sqrt(588)*-1 - ((sqrt(588) - sqrt(588)*1)*6 + sqrt(588))).\nAnswer: -31*sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hbpnnzezb. Give prob of sequence zbz.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3*t - 476 + 70 = 0, -234 = -3*n + 3*t. Suppose d + 4*c = 2*d - n, 4*d - 4*c - 308 = 0. What is the greatest common divisor of d and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4*s - 27 - 32, s + 44 = 3*o. Let q(h) = -3*h + 41. Let n be q(o). Solve 0 = -2*m + m - n for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -172*p**4 - 12210 - 71*p**4 + 4*p**2 + 6105 + 6104 - 9*p**4 to the form w*p**4 + j*p**2 + t*p**3 + z + s*p and give w.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -22387\nAnswer: -4\/22387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 + 32*o**2 + 551*o - 551*o.\nAnswer: -o**3 + 32*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 17*u**2 + 17*u - 16. Let x be w(-18). Let f be ((-46)\/4*-1)\/(x\/4). What is the highest common divisor of f and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60280 and 4110.\nAnswer: 180840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -362 - -359. Let u be 12\/(g*21\/(-30)). Solve -12\/7 + 40\/7*s**3 - 16\/7*s**2 + 4*s**4 - u*s = 0.\nAnswer: -1, -3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1154195729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - t = -56. Let y be (-70)\/(-21) + 2\/3. Suppose 0 = y*c - 2*g - 0*g - t, -4*g = -c - 14. Solve 0 = 3*r - c + 18 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1156519768.\nAnswer: 2, 29, 4984999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -8*t + 48. Let s be x(-8). Let j be (-1)\/(-1) + (-6 - s\/(-24)). Which is greater: 3\/8 or j?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - (-33 + 11)) + 16 + 21.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 3*i**2 - 3*i. Suppose -5 + 10 = -5*k. Let j(g) = 5*g**2 + 0*g - 4*g**2 + g. Determine k*z(p) - 3*j(p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 6) to base 3\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6499 and 6827501.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*a, -3*w + 0*a = 2*a. Solve s - 3 = -q, -1 = -3*s - w*q + 8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - ((-6 + -16 - -10) + 8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28 (base 13) to base 6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 763 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 134 + -1075\/8. Which is the smallest value? (a) -0.2 (b) u (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 45*p - 115. Let z be j(-27). Let a = -602 - z. Are -1\/223 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*b - b - 4*b)*(2*b + 2 - 2)*(3 + 3 + 0) to s*b + g + u*b**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2869, -9599, -20201, -34675, -53021, -75239?\nAnswer: -101329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9871 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -509 - -529. What is the highest common factor of m and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 928662*g**3*n**3*x - 2*g**3 - g**2*n**3*x**2 - 15250*g**2*x**2 - g*n**2*x + 4*n**2*x**2 + 6*n*x wrt n.\nAnswer: 5571972*g**3*x - 6*g**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**2 - 12*c - 6. Let u be m(-5). Solve 3*l - u = 3*o + 5*l, 2*o + l + 3 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3698, 3699, 3700, 3701, 3702?\nAnswer: 3703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1323176637 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -23, 2\/9, 2, -0.3, -28?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1529 - -2834. What are the prime factors of z?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*v**3 - 91*v**3 + 13*v**3.\nAnswer: -181*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1*u)**(2\/73)*(u\/(u**(-5)\/u))\/(u\/(((u\/(u**(-1\/5)\/u))\/u)\/u)))\/((u**(-5\/4)*u)\/(u\/((u\/(u*u*u**(2\/7)\/u*u*u))\/u)))**(-2\/37) assuming u is positive.\nAnswer: u**(1136239\/189070)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12300 (base 6) to base 2.\nAnswer: -11100101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b + 1. Let z be i(1). Let q be -2*(-5 - z)\/6. Solve q = 2*u + 5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-78)\/(-5) + (-10)\/(-25). Let x = 493 + -489. Solve x*w - b = h, h + 4 = -w + 2*w for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -232 + 209 + 0 + (-1 - -13) + (-2 - 2)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -7*b**2 + 93*b - 45. What is s(13)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 94*((-10)\/(-4))\/(-5). Let n = -41 - p. Suppose 2*a + a = n. Solve -a*y - 3*y + 15 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(1*sqrt(4)) + sqrt(45)\/(-2*sqrt(9)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 77 - 40. Suppose -k*i = -35*i + 16. Does 4 divide (-6)\/i*(-16)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11930, -11907, -11838, -11699, -11466?\nAnswer: -11115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2578, 2507, 2388, 2221, 2006?\n\"Answer: -24*p**2 + p + 2601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s**3 - 4*s**3 + s**3)*(1 + 0 + 0)*(-5 - 11*s + 5).\nAnswer: -22*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2740 = -5*i - 2281, 2*i = 5*m - 8343. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(14\/13)\/(k**(2\/5)\/k)*k**19*k*k**(2\/5) assuming k is positive.\nAnswer: k**(287\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 26*d**4\/3 - d**3\/3 - d**2\/2 - 2*d - 3. Let v(k) be the first derivative of z(k). Let l be v(-1). Round l to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 22*f**3 - 4 - 20*f**3)*(2714 - 6197 + 3023).\nAnswer: -920*f**3 + 4600","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -366*j**3 + 4*j**2 + 15*j + 87. Is o(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -85*c**2 + 3*c + 6. Let p(o) = -2296*o**2 + 82*o + 164. Calculate -3*p(w) + 82*z(w).\nAnswer: -82*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -21222201 (base 3) to base 12\nAnswer: -3454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -7. Let l be 3\/6*z*1. Suppose -2*t = 2*k, -4*t + 16 = -2*t - 2*k. Solve l + t = c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -238*x**3 + x**2 - 1. Suppose 32*r = 37*r + 5. Is 14 a factor of p(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/385 and -103\/315?\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 31 - 37)*(3*m - 6*m + m)*(2*m - 2*m + 2*m**2).\nAnswer: 308*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 58 and -8139995.\nAnswer: -472119710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 54\/(-10) - 6\/(-15). Let p be (-101)\/a + 1\/(-5). Suppose -2*v - 8 = -p. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 480 + -496 - ((-9)\/4 - (-2)\/8).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, k: 2, t: 2, z: 4}. Give prob of sequence zzw.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2\/4 - 11620623*w\/4 + 5810313\/2.\nAnswer: -3*(w - 1)*(w + 3873542)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 1\/8, -2\/7, 29, -1 in increasing order.\nAnswer: -1, -2\/7, -1\/5, 1\/8, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1aa + -161f?\nAnswer: -1475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 932555244.\nAnswer: 2, 3, 8059, 9643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 - 392\/11. Which is the second smallest value? (a) r (b) 4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10754939 to the nearest integer?\nAnswer: 3279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, 51, 111, 173?\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 12 = 4. Let p(n) = -3*n + 1. Let m(s) = -s. Let k(d) = l*m(d) + p(d). Let h be k(3). Solve -r = h*r - 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 17*a**3 + 7*a**2 - 3*a + 17. Let g(q) = -8*q**3 - 4*q**2 + q - 8. Let c(p) = 5*g(p) + 3*i(p). Is 29 a factor of c(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77947604 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 3*n**2 + 0*n**2. Let f(v) be the second derivative of -2*v**3\/3 + 8*v. What is f(r(q))?\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in -0.4, 0.2, -0.0838?\nAnswer: -0.0838","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i*s**4*x + i*s*t*x + 3*i*t*x + 59*s**2*x + 6*t*x with respect to s.\nAnswer: 4*i*s**3*x + i*t*x + 118*s*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**5\/20 + b**4\/2 + 5*b**3\/6 - 5*b**2\/2 + b. Let u(c) = -c**2 + 101*c - 2049. Let a be u(73). What is p(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41780*r**2 + 83437*r**2 + r - r - 41746*r**2.\nAnswer: -89*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -1\/2 (c) -30\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -116641?\nAnswer: 116641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/20 of a kilometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 43333*p + 2. Let j = 6 - 2. Suppose 2*a = 2*o - o - 4, -o = -j*a - 2. Let x be k(o). What is x rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106320 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**2 - 7*u. Let x(s) = -8*s**2 + 20*s - 1. Calculate 11*q(l) + 4*x(l).\nAnswer: l**2 + 3*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9040, 9045, 9050, 9055, 9060, 9065?\n\"Answer: 5*o + 9035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*c + 35*c**3 + c - 33*c + 12*c - 13*c**3 as u*c**3 + r + j*c**2 + s*c and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*q**2 - 406932652*q**3 + 54*q**2 + 406932604*q**3.\nAnswer: -48*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236 + 175*d - 4 - 232.\nAnswer: 175*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.31 * 0.178\nAnswer: 0.05518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**5\/8 + 59*z**4\/4 + 459*z**3\/2 + 261*z**2 - 8100*z - 28512 = 0.\nAnswer: -8, -6, 6, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.4 - 8.4. Let m be (-3)\/(-15)*((-40)\/(-7))\/4. Put m, -1, u, -2\/15 in descending order.\nAnswer: m, -2\/15, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/((d**3*d)\/d))\/d)\/(d*(d*d*d**(-23))\/d))\/(d\/d**(-1\/19))**(2\/83))**(2\/61) assuming d is positive.\nAnswer: d**(56692\/96197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 4*m**2 - 5*m. Let o(d) = -d - 22. Let k be o(-17). What is b(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.5, 439, 1\/3, 26.\nAnswer: -3, 1\/3, 0.5, 26, 439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/48)\/((-1)\/3)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*g = -48*g - 50 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 1. Let y = 5 - -1. Suppose 5*s - 3*f + 17 = 0, 2*f + 15 = s + y*f. Sort 0.4, s, u in decreasing order.\nAnswer: 0.4, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/31, -7, -1, -52 in decreasing order.\nAnswer: -2\/31, -1, -7, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*j**2 - 6*j**5 - 8*j**2 - 3*j**5 + j**5 + 4*j**5 + (-2*j**2 + 2*j**2 - 2*j**4)*(5*j - 3*j - 3*j).\nAnswer: -2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 128, -45658 in decreasing order.\nAnswer: 128, 3, -45658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1480.6*1734.\nAnswer: 2567360.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 7:11 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (52*y**2 + 96*y**2 + 50*y**2)*(0*y**2 - 4*y**2 + 6*y**2) + (-y**2 + y**2 - y**3)*(5 - 5 + y) to w*y**2 + u*y + b*y**4 + z + f*y**3 and give b.\nAnswer: 395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243*n + 614 + 601 = 0. Solve -9 - n = -7*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*k - 55*k + 797026 = 3247926. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 40, 5, 14, -1, 111, 0 in descending order.\nAnswer: 111, 40, 14, 5, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*h + 3*h. Let k(n) be the second derivative of -n + 0 - 1\/3*n**3 + 1\/3*n**4 + n**2. Determine k(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -6. Let q(a) = a**2 + 6*a + 1. Calculate the remainder when 1 is divided by q(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*g - 12*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z + 5*g + 30, -5496*z + 6*g = -5491*z - 30 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -105.\nAnswer: 31.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 1 - (59 + -66) - 61 - (0 + -11)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 316.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u. Let x(g) = 16*g - 37*g + 17*g. Calculate -3*d(o) - 4*x(o).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5\/3))**(-40)\/(p**3*p*p**(2\/81)\/p) assuming p is positive.\nAnswer: p**(5155\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3648*g - 2433236. Calculate f(667).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4086 divided by -6.\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 930513 a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 55*y**2 - 309*y - 32. What is the thousands digit of m(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(0 + -1 - 0\/(-1)). Differentiate -84*r**3 + 168*r**t - 11 - 70*r**3 with respect to r.\nAnswer: 42*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 1. Let v be 9\/6*2*(-6)\/18. Let k be 1*(3 - 5) + v. Let o(c) = -3*c**2 + 4. Give k*o(t) - 12*y(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 26 = -2*q + q, 5*q = 5. Let o = 0 - 3. Sort j, 5, o in ascending order.\nAnswer: j, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12 - 4a5?\nAnswer: -4b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/4 + 1368\/32. Let c be w\/(-2) + (-48)\/32. Let s = c - -25. Solve -b - 1 - s = 0, -5*d + 5*b = 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-20)\/(-28) + (-8)\/(-28))\/3. Let a(y) be the second derivative of -9*y - 1\/15*y**6 + 1\/3*y**3 + 1\/21*y**7 + 0 - 1\/5*y**5 + o*y**4 - y**2. Factor a(b).\nAnswer: 2*(b - 1)**3*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1011*w + 1873*w + 2024*w + 1137*w - 2.\nAnswer: 4023*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1\/2, 12377999, 4 in decreasing order.\nAnswer: 12377999, 4, 1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2376675, 4753340, 7130003, 9506664, 11883323, 14259980?\nAnswer: 16636635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/40 + (-117)\/6 - -2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4, -23 = -4*m + 2*b - 7. Suppose m*s - 9 - 6 = 0. Let y(o) = s + 7*o - 3 - o**2 - 2. Give y(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 - -30. Suppose 0 = 4*c - 15 - 1. Suppose x = -2*r - c*j + 6, 5*r - j - 47 = -3*j. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19504064 and 1828506.\nAnswer: 58512192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5157197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 10*i = 3*s - 796, 5*s = -i + 405. What is the tens digit of (-8)\/((-80)\/(-18))*(0 - i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of 1\/54*n**4 + 38*n + 25\/9*n**2 + 10\/27*n**3 + 0. What is r in d(r) = 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 1\/4, -0.089, -0.4, 3\/7, -930.4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.016 rounded to 1 decimal place?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.07 (b) -1\/3 (c) 0.43 (d) -1\/2 (e) -0.2 (f) 6 (g) -7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 8 + 4. Let w = 9 + -16. Let v = g - w. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 264\/(-4) - -5 - (-6)\/(-2). Let w = j - 0. Let g be w\/28 - -2 - (-46)\/14. Solve -p + 2 = g for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o**3 - 3*o**3 + 4*o**3)*(o + 2 - 2) - 5*o**4 - 15*o**3 + 15*o**3 in the form i*o**2 + v*o**4 + k + s*o + m*o**3 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-110)*140\/42.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286447991?\nAnswer: 286447991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -2\/7 (c) -0.1 (d) -4 (e) 0.4 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d - 24*d - 154*d + 43 - 6*d**2 + 4*d**2 - 54*d.\nAnswer: -2*d**2 - 236*d + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 163090926?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115102, -115060, -115016, -114970, -114922, -114872, -114820?\nAnswer: -114766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 + 7604*t + 14455204.\nAnswer: (t + 3802)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1005\/27 - 6\/27. Suppose 0 = -2*j - 5*h + 65, -h - z = -j - 5*h. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9ac (base 16) in base 9?\nAnswer: 3351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-2416)\/12*18\/(3 - 9) and 4?\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1, -5\/6, -57\/302?\nAnswer: -57\/302","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5157 + 5160. Put -25, w, 5, -15 in descending order.\nAnswer: 5, w, -15, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 140 = 5*c. Let t be 5\/c - 69\/(-189). Let i = -3 + 1. Put t, i, -4 in descending order.\nAnswer: t, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -801, -7623, -18995, -34917, -55389, -80411, -109983?\n\"Answer: -2275*a**2 + 3*a + 1471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 + 2\/4*0 and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 67 and -1.442?\nAnswer: -96.614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1353?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20\/119 + -2\/17. Let m(s) = s**3 - 2*s**2 - 3*s - 3. Let l be m(3). Suppose -4*r = -3 - 17. Which is the closest to x? (a) l (b) r (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -21 - -4 - (-25 - -38 - 27)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184\/17 + 18\/17*y**2 - 1654\/17*y = 0.\nAnswer: -1\/9, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8964.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-42)*(23 + 17\/34*-44)\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9541*z = -9728*z + 108 + 266 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 92\/32 - (-22)\/176. Solve -7 = -4*w + 1, 0 = r + f*w - 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140)\/sqrt(112))\/(sqrt(40)*1 + sqrt(10)) + ((0 + sqrt(288))*-5 - sqrt(288)) + 1*(sqrt(288) + -1 + sqrt(288)))**2.\nAnswer: 575*sqrt(2)\/6 + 330697\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -41029 from 0.1728234.\nAnswer: 41029.1728234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13502 is divided by 64.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -119 - -121. Suppose -3*q - 7 = t - 33, -a*q = t - 25. List the prime factors of t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - k. Let j be 1035\/(-92) + 16 + 2\/8. Let p(d) = -2*d**3 + 5*d**3 + 7*d - 2*d. Give j*x(w) + p(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13431\/(-242)*(4\/6)\/2. Which is bigger: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, s: 3, w: 2, t: 12, x: 1}. Give prob of sequence ws.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/215120 and -83\/2640.\nAnswer: 7098960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4*g = -34, y + 8*g - 4*g = 14. Suppose y*r + 17 = 47. Let f(l) = l + 4. Determine f(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 418794, 836948, 1255102, 1673256?\nAnswer: 2091410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 60959.52 microseconds?\nAnswer: 60959520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x - 4*l + 18, 15*x - 13*x + 3*l - 10 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.56 + 15.44. Let v = -21.686 + -0.014. Let f = q + v. What is the closest to -0.2 in -1, f, 1\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1316 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2086*g + 808*g + 1288*g.\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/((84\/(-531))\/14) is divided by 37?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26513235 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + 3*p + 13, 20*p - 18 = 23*p for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-57) - (-8700)\/(-98895). Which is bigger: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.1 - 6. Sort -4, 0.5, y in increasing order.\nAnswer: -4, y, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 49*y**2. Let w(z) be the third derivative of 11*z**4\/24 - 2*z**3\/3 + 782*z**2. What is w(u(s))?\nAnswer: 539*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -k**4\/4 - 10*k**3\/3 + 25*k - 1. Let r(h) = 3*h**2 - 8. Suppose 3318 = 19*x + 3280. What is x*o(a) + 7*r(a)?\nAnswer: -2*a**3 + a**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 6*f + 3. Suppose 2*l + 12 = -0. Is x(l) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9015*p**3*u - 6*p**2*u**2 + 39283*u**2 wrt p.\nAnswer: -27045*p**2*u - 12*p*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4365291, -8730573, -13095855, -17461137, -21826419, -26191701?\nAnswer: -30556983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 0) + -4 - -6. Suppose -h*j - 4 = -2*j. Which is the second smallest value? (a) 0 (b) j (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3743388809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 228\/69*(-31671)\/(-5508).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k**3 + 4*k**3 - k**3)*(-216 + 216 + 88*k) + 2*k**4 + k**4 - k**4 to the form q*k**4 + l*k**2 + t*k**3 + z + f*k and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.47 in 26.52, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/125*(15510\/(-44))\/(-47).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 2) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-468)\/16 + (-1)\/(-4). Round b to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 0*o = -4824. Suppose 218 = -4*x + o. Suppose -2*d + x = -d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -7*x**2 - 3*x + 1. Suppose 21 = 3*r + 4*r. Let y(m) = -4*m**2 - 2*m + 1. What is r*k(i) - 5*y(i)?\nAnswer: -i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*w + 40. Calculate the remainder when 19 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 82, -2, 0, 5 in increasing order.\nAnswer: -6, -2, 0, 5, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.54 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 76983 a multiple of 357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -9*k + 824*l - 829*l, -k - 5*l - 36 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, x: 1, z: 1, v: 2, a: 4}. What is prob of sequence iaa?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4 = -4*s. Let q(o) = 4*o - 1. Let y be q(s). Let a be y - (-6)\/((-2)\/1). Round a to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3652?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 8*c**2 + c + 11. Let r be k(-8). Suppose -2*i + 36 = -z - r*i, -4*z - 2*i - 152 = 0. List the prime factors of (-10)\/z + (-79)\/(-4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*p - 8 = 0, -3*p - 2 + 9 = 2*d. Suppose -4*k + 6 = -d. Factor 0*l + 2*l**4 - 1\/2*l**3 + 0*l**k - 3\/2*l**5 + 0.\nAnswer: -l**3*(l - 1)*(3*l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirty-one halves of a meter?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m - 3. Let d = 13 + -9. Let o be p(d). Suppose -o*z = -30 - 0. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 25 = -35. Let s = 8 - b. Let u = -7 + s. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -470351410607627\/191931464160380 - -12\/14915407535. Let r = 2\/3217 + j. Calculate the common denominator of r and 1 - (-2)\/(48\/238).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 1:01 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -574a (base 13) in base 14?\nAnswer: -4658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.41 in 0.2, -1\/5, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oqoq when four letters picked without replacement from oqoooooqooooqooooo.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 531393.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42044 and 184?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**3 - a**2 + 25*a. Let l be i(-4). Solve -5*m + 16 = -4*k, 5*m - k = -4*k - l for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 7 - -1) + (4 - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 31796 = 2*m, -3*m + 43737 = -a - 3937. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 16*u**2 + 22*u + 468. Let l(d) = -17*d**2 - 26*d - 466. Let i(m) = 4*l(m) + 5*s(m). Differentiate i(o) with respect to o.\nAnswer: 24*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*l*o - 6*l + 14*o + 6 wrt l.\nAnswer: -2*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a factor of 173860124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17400128, 17400129, 17400130?\nAnswer: 17400131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3783223 is divided by 6614?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/((1\/(-6))\/(6\/(-12))). Calculate the highest common divisor of l and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4249 - 1790. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 6*x. Let b(h) = -2*h**2 - 13*h. Let m(q) = 6*b(q) - 13*u(q). Suppose 6 = 2*l + 4. Determine m(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + l + 6 - 8, 2*z = -4*l + 4. Suppose 22 = 4*n + 2. Suppose -z*v + n = -v. Is v > 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -141824342, -141824340, -141824338?\n\"Answer: 2*r - 141824344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 0) + -10 - -5. Let o(k) = -k**2 + k - 1. Let x(q) = -2*q**2 + 9*q - 1. Let h(c) = -c. Let i(m) = 21*h(m) + 3*x(m). Give d*o(t) + i(t).\nAnswer: -t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 993*o*p*s**3*w - o*p*w**3 - 6*o*p*w - 2*o*s**3*w + 13*o*s - 2*o*w**3 - 778 wrt p.\nAnswer: 993*o*s**3*w - o*w**3 - 6*o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112020002 + -20101121?\nAnswer: -202121200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/319986 and -67\/67860?\nAnswer: 41598180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 669472 - 21*h - 669472 - 43*h.\nAnswer: -64*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t + 24. Suppose 5*v = -2*l - 39, 0*v + 2*v + 10 = 2*l. Let d be a(v). Let y(j) = -2*j**2 + 3*j + 3. What is y(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (15 - 14)\/((-4)\/(23834*-2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -10*p + 95. Let r be g(9). Suppose 4*z - 12 = -z + 4*b, 0 = -r*z + 3*b + 14. What is the greatest common divisor of z and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/6 - -43*(-6)\/(-9) is divided by ((-209)\/(-38))\/((-2)\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, m: 5, g: 2, s: 3, f: 1, o: 2}. Give prob of sequence mf.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 50\/275 + (-75)\/(-11). Solve h = -14*y + 77 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-7)*(-70)\/40. Let o(p) = -2*p - 1. Let i be o(2). What is the nearest to 0.1 in -0.1, i, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 divided by -37?\nAnswer: -113\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-237)\/9)\/(56\/21)*2\/(-236) and -19\/472.\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -5 (b) 2\/5 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f - 3. Let l be h(3). Suppose -12 = 5*j - 2*j. Let u(o) = o**2 + 818*o + 23635. Let c be u(-30). Sort c, -2, j, l.\nAnswer: c, j, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/66 - (11 - 310\/30).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*t + 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + p = 4. Let c be (-14)\/16 - (-3)\/6. What is the closest to p in -0.4, c, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l. Let k(h) = -10*h**2 - 3*h + 3. Let v(d) = 11*d**2 + 4*d - 4. Let y(z) = -4*k(z) - 3*v(z). What is y(c(r))?\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 108.92 times -2.062?\nAnswer: -224.59304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - 1. Let s = t - -5. Let x = s + -0.4. What is the second biggest value in -1, 0.2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 35 = -l + 3*i, 3*l - 15 = -3*i. Solve 4*s + 9 + 1 = -2*c, 5*s + 2*c = -l for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - w = 4*q - 4, w = -3*q + 4. Suppose 2*v - 87 + 37 = 0. Suppose v = k - q*k. Is k a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5331600 is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 174770624 to the power of 1\/2, to the nearest integer?\nAnswer: 13220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3019 in 7\/6, -0.3, -4, 6, -3\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5ee8 (base 15) in base 10?\nAnswer: -20243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1005, -1956, -2897, -3822, -4725?\n\"Answer: z**3 - z**2 - 955*z - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -562*p + 2014. Let f be u(-5). What is the highest common factor of f and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-9)\/12)\/(-6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 0*c + 2*c**3)*(3*c - 3*c + c) + (65*c - 143*c + 23*c)*(-2*c**3 - 2*c + 2*c).\nAnswer: 112*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(1\/2))\/v)**19)**(-15)*(v**0)**(-32)*(v\/v**(-5))\/((v\/(((v*v**2\/v*v)\/v)\/v))\/v*v) assuming v is positive.\nAnswer: v**(297\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.022, -2, 0.2, 4 in decreasing order.\nAnswer: 4, 0.2, 0.022, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -22, -21, -10, 17, 66, 143, 254, 405?\n\"Answer: i**3 - i**2 - 3*i - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3819.1 times -0.4\nAnswer: 1527.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -0.16 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ns when two letters picked without replacement from uarxsnx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and 719.\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*n + n - 188 = 0, -b + 4*n = -188. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (-2)\/6 + 105\/45. Solve -4*m = -4*p + r*p + 4, -4*m + 5*p = -2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-15)\/k*(k*(((k**(-4\/17)*k)\/k)\/k)\/k)\/k)\/((k**14*k)\/(((k*k**(-4\/13))\/k)\/k*k)))**(-1\/16) assuming k is positive.\nAnswer: k**(7413\/3536)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*l - 62. Calculate the remainder when l is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 11.5. Let i = r + -10.6. Let k be 19\/(-20) - (-3)\/4. Which is the closest to i? (a) k (b) -3\/8 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 36018.3s?\nAnswer: 36018300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-78)\/1482)\/((-2)\/4). Which is the closest to 25? (a) -1 (b) 1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 13*g - 3. Let c be v(6). Let h be (-6)\/c - 82\/(-26). Let f(q) be the third derivative of q**5\/30 - 5*q**4\/24 + q**3\/2 + 2*q**2. What is f(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 1. Let g = w - -3. What are the prime factors of ((-4)\/g)\/((-10)\/75)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ehezhtsesztths. Give prob of picking 1 e, 2 t, and 1 z.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 4291.\nAnswer: 34328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -945.05 + 1.05. Let w = 944.2 + h. Which is bigger: 44 or w?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -22001121021220?\nAnswer: -22001121021211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eccz when four letters picked without replacement from {c: 5, h: 9, e: 1, z: 1}.\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(2\/9) - 2. Let d = -4 + b. Suppose 6 = 3*j, -3*h + 2*j = -d*j - 23. Is 3 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104925377665 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 - 1770*h + 8421*h + 2691*h to p + u*h and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l**3 - 19*l**2 - 67*l - 357. Calculate o(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s + 6*s + 2*s)*(-1 - 2 - 2 + (2 - 3 + 2)*(1 - 1 - 1)) to m + k*s and give k.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.237 - -27.237. Suppose 5*n = i + 14, -i + 5*i = -2*n - 12. Which is bigger: n or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 112904.3664ns?\nAnswer: 0.0000000001866805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 - j**2 - j**5 - 41*j**5 - 542*j**2 + 542*j**2 + (0*j - 2*j + 0*j)*(-2*j**3 - j**4 + 2*j**3).\nAnswer: -40*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -18*m**2 + 22*m + 9. Let w be j(-12). Let o = 14282\/5 + w. Find the common denominator of o and -31\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 139\/6957 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 24, 5, 49, 405 in decreasing order.\nAnswer: 405, 49, 24, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -182\/11 - -3563\/220. Calculate the common denominator of i and -103\/102.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 - 3 - (-2 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -2. Let f = 45.081 + -57.081. Which is greater: f or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -207, -540, -967, -1488, -2103?\n\"Answer: -47*i**2 - 192*i + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.1 + 2.1. Let g = 0 - k. Is g not equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 52719, 4 in decreasing order.\nAnswer: 52719, 4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**5 - x. Let n(f) = -18*f**5 + 22*f**2 + 3*f. Let t(d) = 3*h(d) + n(d). What is the third derivative of t(u) wrt u?\nAnswer: -900*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155065 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 - 4*v**3 - v**3)*(-16 - 61 - 44 + 2).\nAnswer: 357*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.911863 centuries?\nAnswer: 9.11863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -6) + 304\/(-64). Let a = -0.07 + -0.23. What is the closest to l in 1\/7, -3, a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 3*a - 816. Let c(o) = 8008*o. Give c(l(f)).\nAnswer: -8008*f**2 - 24024*f - 6534528","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13278 is divided by 182?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29601 and 99?\nAnswer: 29601","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52186 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -6 + o + 6. Let c(z) be the third derivative of 0*z**3 - 2*z**2 + 1\/8*z**4 + 0 + 0*z. Determine s(c(k)).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - 2*k + 4*k + 4*k**2 + 0*k - 97*k**3.\nAnswer: -97*k**3 + 4*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 1, 3, 4 in decreasing order.\nAnswer: 4, 3, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 6*w + 23. Let z be l(28). Suppose 1081 = 12*n - z. Is 7 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*z**5 + z**5 - 3*z**5 + (4*z**2 + z**2 - 2*z**2)*(3*z**3 - z**3 + 0*z**3).\nAnswer: 9*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 f when two letters picked without replacement from {f: 1, q: 1, m: 1, b: 1, d: 2, x: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**2 - 53*b**2 + 12*b**2 as j*b + m*b**2 + x and give m.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 p when four letters picked without replacement from {a: 1, c: 1, e: 3, n: 2, p: 5}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (101*o**2 - 3*o - 123*o**2 + 12 - 11)*(54 - 5*o - 54) as f*o**2 + y*o**3 + j*o + u and give f.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a - 20. Suppose 3*z = -5*z - 80. Calculate the remainder when 85 is divided by c(z).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1175)\/(-3*(56\/48 + -1)).\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14015*f - 9893*f - 5772*f - 1065*f.\nAnswer: -30745*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.147 + -7?\nAnswer: -7.147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + 0 - (12 - 323\/51). Which is the second smallest value? (a) h (b) -5 (c) 2 (d) 4.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 20 - 16 + 0*b**2 - 4 + b**2. Let s be 1*2 - (-28)\/(-4). Let d(j) = 27*j. Let h(v) = 121*v. Let w(t) = s*h(t) + 22*d(t). Give w(z(u)).\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1008 + -1007.9999612. Round g to six decimal places.\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 + 4 + -10 + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31232132103 - -332?\nAnswer: -31232131111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 44 in -1, 4, 688\/95?\nAnswer: 688\/95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-12*i + 5*i + 4*i)*(2 - 2*i - 2) - i**2 + 8*i**2 - 3*i**2)*(-3*i + 2*i - 2*i) as j + u*i**3 + q*i + y*i**2 and give u.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5652320 to the nearest integer?\nAnswer: 2377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 34\/153*6\/(-4)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-seven quarters of a kilogram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006112687 to 7 decimal places.\nAnswer: -0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*u = -21. Calculate the lowest common multiple of (-6)\/(-15) + (-99)\/(-15) and (-4)\/(-14) - (-99)\/u.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (203\/21)\/((-15)\/(-6)) + -4. What is the second smallest value in c, 1\/9, -1, -22?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167602?\nAnswer: 2, 47, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3 + (3*sqrt(2) + 3 - sqrt(2))).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u**4 - 4148*u**3 - 5744*u**2 + 4944*u = 0. What is u?\nAnswer: -206, -2, 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-609)\/14)\/(1 - 22) and 19\/24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of d**6\/120 - d**5\/15 + d**4\/6 - d**3\/6 + d**2. Let n be p(3). Let t be n\/4*(4 - 0). Solve -t*x + 25 = 3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1506811234 to the nearest integer?\nAnswer: 38818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 5*t**2 - 4*t - 3. Let j(o) = -9*o + 22. Let z(l) = 5*l - 11. Let i(w) = 4*j(w) + 7*z(w). Let c be i(0). Let k = 8 - c. What is b(k)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 5*m - 2. Suppose -x + 0*x = -3. Let z be b(x). Solve -6 = -4*c - 2*j, c + 0*j = -z*j + 19 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 c when four letters picked without replacement from cfcfcfcyfuat?\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 583 divide 21566329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -8*d. Let c(n) be the first derivative of -659*n**2\/2 + 3696. What is c(v(b))?\nAnswer: 5272*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 2*j + 10*f - 32, -f - 32 = -2*j. Suppose -25*t + 72 = -j*t. What is the least common multiple of 44 and t?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s. Let r(g) be the first derivative of g + 2*g - 4 - 3*g + g**2. What is r(l(b))?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215*k - 23*k**2 + 660*k - 221*k - 224*k + 7.\nAnswer: -23*k**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert b7a6b7 (base 14) to base 3.\nAnswer: 102200200200000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**4\/3 - 64*j**3\/5 + 218*j**2\/15 - 12*j\/5 = 0.\nAnswer: 0, 1\/5, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 1 + 6 = -3*m, -2 = -2*m. Let k be p*((-66)\/(-21) - 3). Which is the nearest to k? (a) -1 (b) 1\/6 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -31*z + 13*z + 17*z. Let p(k) = 6*k - 18. Let d(w) = -18*w + 50. Let f(a) = 4*d(a) + 11*p(a). Determine f(v(j)).\nAnswer: 6*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -1. Let a = j + -5. Let u be (0*a\/6)\/(-2). Solve u = 5*y - v - 3, -5*y + 4*v + 6 = 2*v for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -n, 4*a + n = -3*n + 36. Suppose -3*m + 23 = a. What is the third derivative of -g**m + 2*g**2 - 3*g**5 + 3*g**5 wrt g?\nAnswer: -120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -220, -503, -900, -1411, -2036?\nAnswer: -2775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2521235 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 q when three letters picked without replacement from {q: 9, e: 3}?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -188198.2 - 1.2?\nAnswer: -188199.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 54*j**2 + 316*j + 8. Let z be f(-6). What is the greatest common factor of z and 728?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -6*m**3 + 3*m**2 - 3*m. Let j(w) = w**3 - w**2 + w. Let s(q) = q - 5. Let b be s(6). Calculate b*p(l) + 3*j(l).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -1791\/2923?\nAnswer: -1791\/2923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-423 + 238 + 362)*(-o**3 - 4*o**3 + 3*o**3) to w + y*o**3 + k*o**2 + i*o and give y.\nAnswer: -354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2ec (base 16) to base 15.\nAnswer: -34d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1555564234 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h**2 + 32*h - 158.\nAnswer: 2*h + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/3 + 7725167524\/560. Let a = 13795089 - k. Let d = a + -728\/5. What is the common denominator of d and -149\/18?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150911264 to the power of 1\/2, to the nearest integer?\nAnswer: 12285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16584 and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3. Let n(w) = 5*w**3 + 3*w**2 + 6*w - 5. Let o = -6 + 7. Let l(q) = o*n(q) - 6*r(q). Let b be l(4). Solve z = b*z + 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 137590 and 20?\nAnswer: 275180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2526?\nAnswer: 2, 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 66836351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -8537, -17\/9, -2 in descending order.\nAnswer: 5, -17\/9, -2, -8537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452466 is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**3 + 5*m**2 - 12*m - 10. Let a(u) = -u**3 - 2*u**2 + 5*u + 4. Let f(t) = 5*a(t) + 2*b(t). Let q be f(-2). Solve -q + 0 = -3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 17*o + 42. Let h be l(-3). Solve -7 = -3*z - j - h, -4*j = -3*z - 13 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1125*j - 2257*j + 352*j**2 + 1132*j)*(0 - 2*j**2 + 0).\nAnswer: -704*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**3 + 51*b**2 + 10*b - 304. Calculate v(-26).\nAnswer: -1240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202*a - 60*a**2 - 202*a - 3347*a**2.\nAnswer: -3407*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -53, -7\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/(-2))\/((-4)\/6))\/(-3)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/1115383 and 65\/135712.\nAnswer: 35692256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - d = -144. Suppose w + 1 = -2*n, 3*n + 2*w - 5*w = -d. Is n < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25111700?\nAnswer: 2, 5, 251117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 43. Is j a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 - 2*q**2 + 27*q**3 - 11 - 28*q**3 - 7 as v*q**2 + c*q**3 + n*q + j and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 107 - 437. What is the units digit of f\/(-44)*(25\/3 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2329 and 685.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/10 + 132\/88\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*z = 21*z - 49*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(72)*1)**2 - (-4 + sqrt(72)*2 + sqrt(72)).\nAnswer: -18*sqrt(2) + 292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a*q - 75*a - 26*q + 10 wrt q.\nAnswer: -a - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 126 - 125. What is the nearest to t in -3, 0, -15\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -2, -6, -20?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1085?\nAnswer: 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 6 - 7 + 0*q)*(0*q**3 - q**3 + 0*q**3).\nAnswer: -2*q**4 + q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 68*z**2 - 58*z + 6. Let r be w(-13). Suppose -r = 30*l - 32742. Does 17 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1468\/2476767 - 2\/1249. Let z = w + 168559\/3966. Find the common denominator of z and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 0.6. Let u = -608 - -601.06. Let t = u + 6.84. Which is the closest to w? (a) t (b) -1\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-6))\/(1\/(-9)). Let h = 1.6 - -0.4. Let i = 1 - 0. Which is the closest to i? (a) h (b) j (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236.7024374 rounded to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*b*k*r**3 - 4*b*k*r**2 + b*k*r - 2*b*r**2 + 3*k*r**3 + 3*r**3 - r**2 wrt r?\nAnswer: -66*b*k + 18*k + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 37020 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -7\/3*q**3 + 9\/2*q**2 - 1\/4*q**4 + 8*q + 4. Let j be p(-7). Round j to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.7 - 3. Let d = 339 - 339.1. Let k = -0.4 - -0.6. Which is the closest to d? (a) 0 (b) g (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.46021 + 10?\nAnswer: 9.53979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a**2 + 19*a - 3. Let s be q(6). Solve 10 = -2*y + 3*c, 0 = -s*c + 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -13*y**2 - 3*y + 1. Let b be i(-3). Suppose u - 4*d = -4*u + 44, 0 = -3*u - 5*d + 56. Let x = u - b. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w - 6. Let m be s(9). Let f(t) = -2*t**2 - 3*t + 6. Let i be f(m). Let p be -25 - (-2)\/(-4)*-6. Which is smaller: i or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**2 - 17*v - 19*v + 36*v + 0*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/15)\/((-16)\/30*(-285)\/(-5358))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -0*n. Let d = n - -5. Let t(y) = 2*y - 157. Let b(s) = s - 71. Let i(u) = -9*b(u) + 4*t(u). What is i(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24 + 3*o**4 + 288*o**2 - 36*o - 616*o**2 + 9*o**3 + 322*o**2.\nAnswer: 3*(o - 2)*(o + 1)*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**3 + 63*i**2 + i - 29. Give c(0).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17184, -34442, -51700, -68958, -86216?\nAnswer: -103474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2140098085?\nAnswer: 5, 151, 2834567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide (-1)\/(-7) + 3040\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/6 and -4*(2 + -1)*(-207)\/(-192).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-1936)*11*46\/207\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**3 - 2497*b**2 - 48525*b + 8. Calculate v(-19).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 16 = -6. Suppose p + 3*s = 26, 2*p - 3*s - x = s. What is the remainder when 65 is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3556 + 3446. What is the greatest common factor of 36 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 146, 287, 438, 605, 794?\nAnswer: 1011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u + 6 + u**3 + 12 - 1209*u**2 + 9 + 1209*u**2 as v*u**3 + i + w*u + a*u**2 and give i.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**5 - 24*g**4 + 57*g**3 - 36*g**2 = 0.\nAnswer: 0, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*r**2 + 1)*(-10 - 14 + 2) + 4*r**2 - 29 + 25 - 10*r**2.\nAnswer: 38*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 d when two letters picked without replacement from divcttvntcvci?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -101*(-6)\/606*-57\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-200)\/150*(36\/(-14) + 0). Factor 2*p**4 - z*p**3 + 0 + 4\/7*p + 6\/7*p**2.\nAnswer: 2*p*(p - 1)**2*(7*p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((2*sqrt(110)*-1 - sqrt(110) - sqrt(110))\/sqrt(10) - ((sqrt(11) + 1)*-4 + sqrt(176) + 4)).\nAnswer: -4*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 5*p**2 + 3*p + 5. What is t(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 488953, 977830, 1466629, 1955350, 2443993, 2932558?\nAnswer: 3421045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (162\/5*227)\/((-474)\/(-60)). Let s = j + -931. Is s at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {o: 19, a: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, r: 5, k: 2, w: 3, a: 1}. Give prob of sequence wrwr.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 4, -2*h - 65984 = -5*t + 115503. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 692832.1 micrometers to millimeters.\nAnswer: 692.8321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2*713.3\nAnswer: 1426.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-142)\/(-20) - (-7)\/280*-24.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.031 + 0.031. What is the closest to 0.2 in -0.1, -2\/11, -7, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -2\/7, -2437.7, 3, 6.\nAnswer: -2437.7, -23, -2\/7, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100 and 1125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 10:12 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003880887 rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 3*t + 27. Suppose 5*f + t = -18. Let b = -7 - f. Solve 2*y + b = -3*k - 1, 5*y = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (436\/(-30))\/((-23)\/((-2415)\/(-9996))) and -37\/462.\nAnswer: 7854","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 72*r**2 + 76*r**2 - 224*r**2 + 78*r**2. Let m(k) = -1 + 0 + 13*k - 5*k. Let d(q) = -q - 1. Let b(l) = d(l) - m(l). Determine b(t(o)).\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1980 - -1d?\nAnswer: -1961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2241040 by 16.\nAnswer: 140065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3002 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 101*u - 250. Give n(3).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11379191 is divided by 3054?\nAnswer: 3041","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5394? (a) 2 (b) 1\/9 (c) -0.9 (d) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = n + 5934. Let o be ((-18)\/(-99) + n\/11)*5. Factor -1249*c**4 + 100*c**3 + 1244*c**4 - 590*c**2 - 74 - 331 + o*c.\nAnswer: -5*(c - 9)**2*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - 78\/(-20) - 187\/1530. Let l = 221\/3 - 74. Let j = -0.05 + 4.05. Put l, 2\/9, v, j in decreasing order.\nAnswer: j, 2\/9, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -h**6\/120 - h**5\/30 + 317*h**2 - 1. Factor q(y).\nAnswer: -y**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 9*o - 6*o - o**2 + 1 + 1 + 9.\nAnswer: -o**2 - 15*o + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 535.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/12 and 79\/49932.\nAnswer: 49932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 70*t - t**3 + 2 - 70*t in the form c*t**3 + z*t + u*t**2 + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29823*d**2*u - 54*d**2 + 4*d + 1 wrt u?\nAnswer: 29823*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -33 and 118724159.2.\nAnswer: 118724126.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 292661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -5*w + 5*b - 7*b, 5*w + 3*b + 25 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14830.\nAnswer: 2, 5, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2024, 1, 4, -4 in descending order.\nAnswer: 2024, 4, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.707317 days in hours?\nAnswer: 40.975608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6764, -6774, -6798, -6842, -6912, -7014?\n\"Answer: -d**3 - d**2 - 6762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4730882?\nAnswer: 2, 13, 181957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 284*d**3*k**2 + 12*d*k**3 + 22487*k**3 with respect to d.\nAnswer: 852*d**2*k**2 + 12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4.49 (b) -13 (c) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(sqrt(10)\/sqrt(2))*4 + -3 + (sqrt(85) + (sqrt(85)*-2*-6 - sqrt(85) - sqrt(85) - sqrt(85)))\/(sqrt(5) + sqrt(20)\/sqrt(4)*2 + sqrt(5)).\nAnswer: -3 + 13*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 113.\nAnswer: -4\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (13596\/(-7931) - (-199)\/14)*(4\/35)\/1. Determine p, given that -o + 2\/7*p**3 - 2\/7*p + 10\/7*p**2 = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*o - 2*j - 4, -5*o - 4*j = -40. Suppose 0 = -2*u + u + o*q + 13, 5*q = -4*u + 73. Is 17 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*z + 14*s - 212, z = 17*s - 36*s + 18*s + 12 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -o**4\/6 + 11*o**2\/2 + 3. Let z(n) be the second derivative of d(n). Let y(a) = 5*a**2. Give z(y(x)).\nAnswer: -20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 5*a - 21, 4*a - 7 = -2*g + 11. Calculate the greatest common divisor of g and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66518*a + 66610*a - 276 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1aa (base 16) in base 2?\nAnswer: 110101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pwn when three letters picked without replacement from wjpnjjjb?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - -2)*-6 - 4. Is 18\/11 at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210048.\nAnswer: 2, 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 11 = 5*p, 3*l + 6 = -3*p - 0*p. Let z be 0\/(-4) + (-2 - p). What are the prime factors of (-1)\/((6\/8)\/z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 588 and 47955712?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 - -28.31. Let y = -0.31 + r. Sort y, 1\/6, 4, 2.\nAnswer: y, 1\/6, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 46389145 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/66 and -29\/66231.\nAnswer: 132462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 8*r**2 - 2*r - 1. Give n(8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -1 + (-12 - -7) + -2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + ((-100)\/(-14) - 468\/(-546)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (45 - 44) + 1 + -2 + 13. Which is the nearest to 1\/6? (a) -0.8 (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.04 - -0.011. Let k = b + -0.006. Let x = -0.01 - k. What is x rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 5*k - 2. Let u be m(5). Let z(y) = 189*y**2 - 3*y - 1. Is z(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = -3*m + 192, 2*m + 24 = 3*i + 152. Suppose 5*n - 8*n + 48 = 0. What is the greatest common divisor of m and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559218?\nAnswer: 2, 3, 11, 37, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -196719 divided by 6\nAnswer: -65573\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(243) + 0 + sqrt(243))**2 + -1)*-3.\nAnswer: 8739","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 - 33. Suppose -j + 6 = -6*j - c*r, -3*j + 2 = -r. Suppose 3*b - 5*u + 7 = 0, -2*u - 20 = -5*b - j. Solve -3*p = -9 - b for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 18 (c) 1.3 (d) -1 (e) 21 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*d + 2*d. Suppose -4*o + 5 = -5*s, 4*s + 0*o = 3*o - d. Does 44 divide 7*10\/35 - 42\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7 and -9.1505?\nAnswer: -6.40535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.08 (b) 0.1 (c) -10 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 u when three letters picked without replacement from {s: 1, u: 4, x: 2, z: 9}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**6\/120 + 3*p**5\/20 - p**4\/3 + 4*p**3\/3 + 2*p**2. Let a be v(8). Let j = a - 0. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7\/((-105)\/(-160))*(13 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*q + 24*q - 30660. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 48 = 4*p, -20 = -109*p + 104*p + 5*a for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217255687?\nAnswer: 11, 19750517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 794 or -79?\nAnswer: 794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u + 5*u + 5*u + 15 - 2*u + 34*u**3 - 4*u**3.\nAnswer: 30*u**3 + 2*u + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-6)\/(p\/p**(12\/11)) assuming p is positive.\nAnswer: p**(-65\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 411 + 669*v + 592*v - 229 - 182 - 1369*v.\nAnswer: -108*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**3)**(-24)\/(m**(-1)\/m*m**(-9)) assuming m is positive.\nAnswer: m**(-85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-45*x + 17*x + 193*x)*(1 + 1 - 13) in the form t*x + j and give t.\nAnswer: -1815","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120444104 + 10414?\nAnswer: -120433140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 8*l + 244. Give t(-23).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 47*h - 91. Let p be a(-49). Solve -5 = 4*r + p for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(2)*1 + -5.\nAnswer: -10 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2613 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c - 3*n = 2*c - 4, c + 5 = -5*n for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1204.3726995 to zero decimal places.\nAnswer: -1204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-8\/7)*f)\/f)\/(f**(3\/2)\/f*f) assuming f is positive.\nAnswer: f**(-37\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3374*m - 11 + 3374*m - 4*m**2 + 11.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211*l + 9 = 214*l, -4*l + 17 = 5*u. Which is the second smallest value? (a) u (b) 0.2 (c) -0.3 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + t + 7 = 0, -7*h + 3*h + t + 9 = 0. Let p be -1 + -1 - 2\/h. Suppose 12*x + 9 = 11*x - 2*q, x - 15 = 2*q. Put p, x, 9 in decreasing order.\nAnswer: 9, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/180362 and 17\/5202750.\nAnswer: 67635750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/7 - 1\/4. Which is greater: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78983166 to the power of 1\/3, to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + -29 - (2 - (0 + -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -g - p, -6 = 2*g + 4*p - 24. Suppose 3*c = -5*d + g - 20, c = 4*d + 7. Let k be (-2 - 0) + 752\/360. Are c and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 9 = 4*x - 7*x, 0 = 2*x - 3*v + 6. Let b(f) = -2*f - 2. Let p be b(-3). Suppose 2*w + 41*w + 156 = 4*w. Sort w, x, p in ascending order.\nAnswer: w, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 45 = -0. Let r = v - -11. Let p(y) = 4*y + r - 2 - 2*y. Let j(h) = -3*h. Calculate p(j(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 272\/28 + (-12)\/(-42). What is the derivative of 246 - 136*s - z + 14 + 63*s - 131*s wrt s?\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2.4674913 months?\nAnswer: 0.205624275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137509 is divided by 17176?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/5 - 52\/(-65). Let r be (-1 - (3 + m))*-1. Suppose 380 = -0*z + r*z. Is z a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 2*n - n. Let l = -796\/7 + n. Which is the closest to l? (a) -1\/3 (b) 1\/2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8992434 divided by -21513?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 16 = 3*k - 3*l, 0 = -4*k + 5*l - 13. Let a = 10 - k. Solve -3*q + 3*o - 18 = -o, -2*q + o = a for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 5*i**2 - 6*i + 3. Let c be v(-6). Suppose 36 = 5*z - c*y, -4 = -z + 2*y + 6. What is the smallest common multiple of z and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*x - 162 = 0. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -2) + (2 - 0) - 9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82388, -169209, -256030, -342851?\nAnswer: -429672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 29*t**3 - 129*t**2 + 171*t - 89. Let z(j) = -7*j**3 + 32*j**2 - 43*j + 22. Let x(s) = 2*c(s) + 9*z(s). Determine o so that x(o) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 less than or equal to 52168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*i + 888 = 0, -3*h - 54*i + 2686 = -55*i. Calculate the highest common divisor of h and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 14*m**2 - 41*m + 36. Let b be f(-9). Solve b = 46*p - 45*p - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 7303*x + 51100. Determine n(-7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 0 + 19 - 5 - (-2 - -7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.6494 to 1 dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fju when three letters picked without replacement from {x: 2, f: 1, u: 4, j: 2, o: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3)\/(h*h\/h**(3\/7)*h))**(-17) assuming h is positive.\nAnswer: h**(663\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 539 is divided by 387?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 151 by -53266.\nAnswer: -151\/53266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -137, -1, -13, -4, -2 in increasing order.\nAnswer: -137, -13, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**6\/1140 - 17*z**5\/570 - 31*z**4\/228 - 5*z**3\/19 - 6*z**2 + 29. Factor y(h).\nAnswer: -2*(h + 1)**2*(h + 15)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/14*242\/55?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -p**4\/24 + 62*p**2. Let z(f) = 23*f + 162*f - 35*f. Determine z(h(x)).\nAnswer: -150*x","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-8))\/(-1)*2. Let l = 756 + -3777\/5. What is the closest to b in l, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3027 equal to -3027?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -v**3\/6 - 476*v. Let x(n) = 54*n**2 + 10. Give d(x(o)).\nAnswer: -54*o**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 826\/(-1180)*(-15)\/(-504).\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**5 + 30*s**4 + 2115*s**3 + 5730*s**2 - 12192*s - 15840 = 0.\nAnswer: -20, -4, -1, 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 35543444369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -6*r + 12. Let k be r\/4 - 2\/4. Is (1\/(-3))\/(k\/2514) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 355\/3 - 118. Let n = 33 - 236\/7. Which is smaller: n or k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**6\/40 + 3*b**5\/10 - 7*b**4\/8 - b**2 - b. Factor k(m).\nAnswer: 3*m*(m - 1)*(m + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**21*d**(-7))\/((d**(-2\/35)\/d)\/d**29) assuming d is positive.\nAnswer: d**(1542\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -3*m - 10, -5*u + 3*m + 51 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36955)\/25650)\/(-389)*36.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 4*y**2 + 10*y + 7. Determine a(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -58803.1544 rounded to the nearest 10?\nAnswer: -58800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73078, 71473, 69872, 68275?\nAnswer: 66682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*j**2\/13 - 13616*j - 39336\/13.\nAnswer: 2*(j - 9834)*(9*j + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-1) + -1)\/(153\/(-15504)). What is the greatest common divisor of w and 1862?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -2*w - 10, -i = w + 4 + 1. Suppose i = 3*y - y. Differentiate -b + y*b - 2 + 3*b with respect to b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-26) - 45\/195. Which is the third smallest value? (a) u (b) 0 (c) 2\/5 (d) 1\/16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 8888390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 462?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/4)\/(720\/(-7680)*10\/6).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.05 - -0.05. Let i = 10 + -10. What is the smallest value in o, i, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 23?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3*(((sqrt(1078) - sqrt(22))*-2)\/(-2*(sqrt(12)\/sqrt(6) - sqrt(2) - sqrt(2))) + -2)**2*-5.\nAnswer: -5999 - 360*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 12*n - 15. Suppose 421*h + 16 = 429*h. Let b be y(h). Solve -3 = -b*j + 6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 4*a + 5. Let s be n(-5). Suppose -2*k + 19 + 15 = 0. Calculate the remainder when (-1 - s)*-11*3 is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*g - 12. Let l(z) = -2*z - 4. Let m = 2 - -3. Calculate the remainder when l(g) is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**12*j*j)\/j*j)**42 assuming j is positive.\nAnswer: j**588","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/713, 2\/9, 3, -1\/3, 0.3.\nAnswer: -1\/3, -1\/713, 2\/9, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 - 3 + 0)*(0*m**3 - 3*m**3 + 4*m**3)*(-5*m - m + 5*m + (-m + 4 - 4)*(2 + 4 - 2)).\nAnswer: 170*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -587 + 590. Let t(n) = n**2 + 6*n - 10. Let l be t(-7). Sort -4, w, l in increasing order.\nAnswer: -4, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1400) + sqrt(1400) + -4*sqrt(1400)*-2 - sqrt(1400))\/((sqrt(7) + sqrt(7) + 2*sqrt(49)\/sqrt(7))*-6).\nAnswer: -15*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 1. Suppose 4*i - 44 = -0. Let j = c + i. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 21. Suppose 3*y - 3 = -c*y. Let d be (4 + (y - 5))\/(-2). Solve d*x = -3*x + 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(2299) + 1)**2.\nAnswer: -88*sqrt(19) + 2315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjs when three letters picked without replacement from {o: 1, s: 1, j: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -877*j**2\/11 + 18462*j\/11 - 945\/11 = 0.\nAnswer: 45\/877, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 150191*c**2 + 37*c - 35. Is z(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 6*v - 139. Determine g(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1498 is divided by 47?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58\/(-145))\/((-11)\/(-15)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + (2 - 1 - 3). Suppose -1 = o*n - 27. Calculate the remainder when 8\/(-20)*1*-125 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - 21*i + 4*i - 8*i.\nAnswer: -24*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 15*j**2 - 64*j - 54. Let m be w(-7). Let n(p) be the second derivative of p**4 + 10*p + 6*p**m + 20\/3*p**3 + 0. Find g such that n(g) = 0.\nAnswer: -3, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2985*g**3 + 260 - 260 + 3*g**2 - 2930*g**3.\nAnswer: 55*g**3 + 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**5 + 3*f**3 + 2*f - 3. Let w(x) = 3*x**5 - 4*x**3 - x + 4. Let n(v) = 4*c(v) + 3*w(v). Find the second derivative of n(k) wrt k.\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1876*l**3 + 7496*l**2 + 7472*l - 32.\nAnswer: 4*(l + 2)**2*(469*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fvvvvvvf. Give prob of sequence vfvf.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(-2610) - 469\/(-290).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-5432)\/77 + 608\/(-418)\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1593 and -17991.\nAnswer: 28659663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gjk when three letters picked without replacement from {z: 11, a: 3, g: 2, k: 1, j: 1}.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 6.1. What is the closest to -3 in t, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 88*n**2 - 71*n - 1574. Give k(89).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -2)*564\/(-7332).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 10*c + 23. Let s be f(-12). Sort -2, s, 1\/4, -2\/7 in decreasing order.\nAnswer: 1\/4, -2\/7, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-13)\/(26 - 52))\/((-1)\/2). Let y(l) = 1 + l - 1 + 0 + 8. Let r(t) = -5. Let i(z) = 4. Let w(u) = 4*i(u) + 3*r(u). What is j*y(p) + 5*w(p)?\nAnswer: -p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 46146754 to the power of 1\/4, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 2:53 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (4 - -11) - 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21328361.\nAnswer: 1531, 13931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1123 (base 7) to base 15\nAnswer: 1c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 780 = -6*t. Let b = -72 - -229\/2. What is the common denominator of t\/25*(-4)\/(-6) and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 5:01 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f - 1. Let h be o(1). Let t = -1 + h. Let d = -42 - -39. Which is the closest to t? (a) 2\/5 (b) 4\/3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388 a factor of 9812651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -754*z - 18 = -760*z. What is the remainder when 5 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 2*s - 388 + 264, 0 = -4*s - 7*l + 316 for s.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 + -20232311?\nAnswer: -20232221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 601280677?\nAnswer: 601280677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**2 - 14*k**2 + 5*k**2 + 6*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8295 divided by -5?\nAnswer: 1659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 6*n + 52 - 152 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51*r**5 - 63952*r**3 - 925428751*r?\nAnswer: -1020*r**3 - 383712*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156669 is divided by 26049.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 12 = 3. Let f = b + -5. Let g = f - -16. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3121 (base 4) to base 10\nAnswer: -217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*m = o - 132, 2*o = 2*m + 224. Let n = -100 + o. What is the greatest common factor of n and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5*z**2 + 251*z - 55. Let g be k(50). Let p(h) = -21*h**2 + 8*h - 2. Let a(v) = -14*v**2 + 5*v - 1. Determine g*p(y) + 8*a(y).\nAnswer: -7*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**24*g)\/(g**20\/g) assuming g is positive.\nAnswer: g**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2958 and 3978.\nAnswer: 115362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435431 is divided by 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 60628437 from 0.06.\nAnswer: -60628436.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -492\/11 or -1747\/5?\nAnswer: -1747\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.5 times -4.8?\nAnswer: 50.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 11:54 AM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17603?\nAnswer: 29, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j**2 - 27*j - 23. Let h be w(-20). Is (1\/1 + -3)*h\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**3\/2 - 33*t**2 - 299*t\/2 + 183 = 0. Calculate t.\nAnswer: -61, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14046, 14077, 14108, 14139, 14170, 14201?\nAnswer: 14232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - -13. Suppose -6*h = 5*v - 2*h - 15, 3*h - t = -5*v. Calculate the least common multiple of v and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/7 + 44073*o\/7 + 1989360\/7.\nAnswer: -3*(o - 14736)*(o + 45)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 5:47 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1887 >= -1953?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*d - 21. Let g = 24 + -17. Calculate the remainder when g is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, 4, 2\/17, -0.4, 821 in ascending order.\nAnswer: -0.4, -1\/10, 2\/17, 4, 821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 111021102020 (base 3) to base 15\nAnswer: 52640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5096550 (base 10) to base 8.\nAnswer: 23342146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 - 25 - 3936\/280.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15162252 (base 8) in base 15?\nAnswer: -487140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 112507 rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 139 - 323\/2. Suppose -3*p + 0*p + k + 46 = 0, 0 = -2*p + 5*k + 48. Find the common denominator of t and p\/77 + (-599)\/(-33).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110945 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35.76 + 35.46. Which is the third biggest value? (a) 2\/11 (b) s (c) 1\/2 (d) -165\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73, -2, 1 in decreasing order.\nAnswer: 1, -2, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 11266365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 v when four letters picked without replacement from {v: 13, c: 6}.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2. Let l(i) = 7*i**2 - 8*i. Determine l(v(r)).\nAnswer: 28*r**4 - 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/4761 and 149\/2956788?\nAnswer: 68006124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/2369500 and 41\/13020.\nAnswer: 220363500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 9*p + 9. Suppose q = -4*o - q + 942, -o = -2*q - 248. Suppose -b - 246 = -o. What is a(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58 + -29. Suppose 3*r - 8 = -4*o + l, r = -o + 13. Suppose -43 + r = -4*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 - 13994*m - 55960.\nAnswer: -(m + 4)*(m + 13990)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 42 = 3*p, -4*n + 4*p - 3*p - 46 = 0. Let q(j) = -9*j - 23. What is the tens digit of q(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -m**6\/180 + 7*m**3\/6 + m**2 - 19*m. Let u(r) be the second derivative of z(r). Let t(l) = -29*l. Give u(t(k)).\nAnswer: -1682*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -12598.393 to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 12:35 AM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (2745\/610)\/(-1*(-30)\/(-8))\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 2:39 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15818141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-1)\/i*i)*i)\/(i**6\/i)*i*i*i*i*(i*i**(-3)\/i*i)\/i*i**(2\/11) assuming i is positive.\nAnswer: i**(-9\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, d: 11, v: 1}. What is prob of sequence dud?\nAnswer: 55\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 11 = 2*m, -64*m = -p - 59*m + 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12243012341 + -4?\nAnswer: 12243012332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.5090162 to two dps.\nAnswer: 24.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5754 and 168?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h - 7*h - 5*g + 31 = 0, 0 = -5*g + 25 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 1:20 PM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/((-44)\/32 - -1). Let w be 0*(-1 + 4\/g). Suppose w = -3*i + 2 + 1. Calculate the smallest common multiple of 8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -11*n**3 - 21*n**2 + 11*n + 21. Let y be (-3)\/6*(4 - 2). Let u(s) = -s**3 - s**2 + s + 1. Let t(d) = y*c(d) + 6*u(d). Factor t(k).\nAnswer: 5*(k - 1)*(k + 1)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -v**4\/4 + v**2\/2 - v + 8. Let q = -11 + 10. Let a(i) = -i**3 + 4*i - 5. Determine q*a(p) + 4*s(p).\nAnswer: -3*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17.8 + 18.2. What is the fourth smallest value in u, -1\/8, 8, 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 21. Let l be 12\/(h - 5 - -4). What is the second derivative of 5*n**3 + l*n + n**3 - 10*n**3 wrt n?\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 26?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 5*q**2 + 2590*q + 2585 = 0.\nAnswer: -517, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 + -16)*(-8)\/(-40)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2548) + sqrt(2548) + (sqrt(3328) - (sqrt(3328) - 2*sqrt(3328))))\/(5*2*sqrt(400) + sqrt(400)).\nAnswer: 3*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-21)\/(-14))\/(-5 + -1))\/(69\/(-11868)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Expand -16 - 21 - 41*c + 40 + (3*c - 4*c - 2*c)*(-1 - 1 + 3) - 2*c + 2*c + c.\nAnswer: -43*c + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1*sqrt(190) - sqrt(190) - sqrt(190)) + sqrt(190) - ((1*2*sqrt(190) - sqrt(190)) + sqrt(190)))\/((sqrt(90)*-1*1)\/((sqrt(72)\/sqrt(4))\/sqrt(2))).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 0*f + 4*f + 12 = 0, 5*b - 2*f - 6 = 0. Find the third derivative of 0*n**5 - 8*n**5 - 9*n**2 + 0 + b wrt n.\nAnswer: -480*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**2 - 2045715*v = 0.\nAnswer: 0, 681905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -6*q**2 + 1 + 1 + 3 - q**3. Let v be (-52)\/9 - (-2)\/(-54)*6. What are the prime factors of n(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 319*o - 317*o - 2 = 0. Sort 10, o, -8 in descending order.\nAnswer: 10, o, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 60?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-202)\/1111 - (-37)\/693*-7.\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 18 - 18*t - 31*t - 7*t + 31*t. Let w be s(0). What is the greatest common factor of w and 252?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -1040, 5, -5, 10 in descending order.\nAnswer: 10, 5, 0, -2, -5, -1040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/64 - (-39814)\/(-2023488).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -w**5\/20 - w**4\/4 - 2*w**3\/3 - 3*w**2\/2 - 11*w. Let d be v(-2). Let o(i) = 7*i. Determine o(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 7*z**2 + 21*z - 103. Give t(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjxj when four letters picked without replacement from {x: 5, w: 1, j: 3, g: 1, r: 1}.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (1 + (17 - 8))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5 - 20*z**2 - 10 - 9*z**2 + 55*z**2 - 5*z**2 + 2796*z**6 - 5*z wrt z.\nAnswer: 335520*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -348 - -353. Find the third derivative of -8*q**2 - 5*q**s - q**5 - 88*q**2 + 46*q**5 wrt q.\nAnswer: 2400*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/111900 and -49\/340.\nAnswer: 1902300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*m + 4 = -0*m, 0 = -4*d + 3*m + 8. Let s(z) = d + 0*z + 0 - z + 1. What is the remainder when s(-6) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5*h - 86. Calculate b(18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (72\/84)\/((-9)\/(-42)). Solve -2 = 3*n - 4*k, -1 = -u*n + 2*k + 3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 747015 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -690*k + 444 = -684*k. Does 8 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12895132409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of z**6\/30 + z**3\/6 - 8*z + 5. Let l(u) be the first derivative of r(u). Find the second derivative of l(y) wrt y.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2563649 - a?\nAnswer: -2563657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i*i**0*i)\/i)\/i)**(3\/14)\/(i**(-1\/8)*i*i*i**(-8\/7)))**(-1\/4) assuming i is positive.\nAnswer: i**(29\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c + 71*c + 38 = -148 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2489993?\nAnswer: 11, 53, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/(-2) - (-49)\/3773*-561. Let n = 5 - 5.3. Let o = n + 0.4. Which is the nearest to t? (a) -0.1 (b) -2\/3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**5 + 78*m**4 - 54*m**3 - 564*m**2 + 993*m - 450 = 0.\nAnswer: -3, 1, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1749, 3491, 5235, 6981, 8729, 10479?\n\"Answer: v**2 + 1739*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 17*y + 6 = -15*y, 3*i + 5*y = 13 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a day in seconds?\nAnswer: 75600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, b: 1, z: 2, f: 3, d: 2, n: 6}. Give prob of sequence dn.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -20b151 (base 12) to base 11\nAnswer: -323379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189 = 2*y - 11. What is the common denominator of 15\/22 and y\/8 + (-4)\/(-6)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5994*l**2 - 13 + 16 + 11 + l + 6000*l**2 as f*l + x*l**2 + m and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 63*c**2 - 161*c**2 + 33*c**2 - 353 - c**3 + 65*c**2 as a*c + n + j*c**3 + l*c**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 7*i + 2. Let u(x) = -15*x - 5. Let a(t) = 9*g(t) + 4*u(t). Suppose 0 = -c + 2*b + 27, 155*b = 4*c + 150*b - 75. Give a(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 898 is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + v = 5*v - 10, -2*v + 10 = -4*l. Let u be l*1 - (0 + 2). List the prime factors of (-5)\/(-2) - u\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, g: 2, n: 2, o: 5, l: 1}. Give prob of picking 1 l and 1 a.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -5*o**3 + 115*o**2 + 130*o - 240 = 0.\nAnswer: -2, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1259 in -0.3, -4\/9, 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 321 divide 118902894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8640 is divided by 44.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -570.1 - -545. Let w = -25 - o. Which is the nearest to -0.2? (a) w (b) 3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 1. Let a(l) = l - 11. Suppose -3*j = 3*o + 8 + 1, -4*o = -3*j - 16. Let i(h) = -h + 12. Let c(f) = j*a(f) - 3*i(f). What is -c(y) + 6*v(y)?\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 9 + 0)*(-z - 5*z + 2*z) in the form k*z + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2376?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -v + 10 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 67, -1 in descending order.\nAnswer: 67, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 + 0*o**2 - 2*o**2)*(-o**2 - o**2 - 3*o**2) - 3 + 3 + 2*o**4.\nAnswer: 12*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-5)*-1*-4.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -c**3\/3 + c**2 + 7*c - 1. Let b = -83 - -88. Suppose 7*d - b*d - 10 = 0. Determine u(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 12 = 0, 3*l = -2*p - 0*l + 67. Let k(s) = s**2 + 25*s - 80. What is the hundreds digit of k(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4562234 - 772?\nAnswer: -4563006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-3))\/((-14)\/(-651)). What is the highest common factor of 341 and d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 67*w**2 - 61*w - 188. Does 5 divide d(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 120240 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 3, -0.07, 0, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 85\/(2890\/(-136))*(-5)\/(-4). Let u = -0.01 - 0.02. Which is the third biggest value? (a) x (b) -3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**3 + 10673*o**2 - 10673*o**2 - 3*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 - (43 - (-37 - -143)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 132.9899um?\nAnswer: 0.0000001329899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**3 - 26744*i**2 - 2277796*i - 48813600 = 0. Calculate i.\nAnswer: -6600, -43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n. Let t(x) = -2*x. Let r be t(2). Let c = r - -3. Let o be (-1)\/((-1)\/6*c). Let j(q) = -2*q. Give o*y(u) + 4*j(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + 1)*-1*1. Let d be (g + -1)*(-3 - -5). Solve 4*u - d*l = 0, -5*u = -3*l + 5 - 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 + -13. Let y be 1*46 + (6 - 5). Calculate the remainder when (y + -3 + 0)\/1 is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100 - 248 - 190 - 11*x**2.\nAnswer: -11*x**2 - 338","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - n)*(-5*n**2 + 4*n**2 - 5*n**2) + 5*n**3 - 3*n**3 - 4*n**3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*w + 0)*(4 - 1 - 2) + w + 1 - 1 - 3*w - 5*w + 3*w + 0*w - 21*w + 9*w.\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 11*q**2 - 13*q**2 - 3 + 0 - 11*q in the form z*q + w + l*q**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**3 - 4*s**2 + s + 4. Let w be o(2). Suppose 220 + 200 = w*f. What is the remainder when 1\/((0 + 1)\/87) is divided by f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(243)*-6 + 6*(sqrt(243) + 3) - 3*((3 + 2*sqrt(243))**2 - (5 + 1*sqrt(243))))*-2.\nAnswer: 270*sqrt(3) + 5820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 76*a - 104. Let d be b(8). Calculate the highest common divisor of d and 360.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37 * 0.249.\nAnswer: -9.213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/6 of a week?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17*(-15)\/(-165)*(-22)\/3.\nAnswer: -34\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 - (-2 - 10) - 71?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13780095.\nAnswer: 3, 5, 7, 37, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -5*i**5 - 40*i**4 + 1780*i**3 + 5530*i**2 + 5585*i + 1870 = 0.\nAnswer: -22, -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q**2 + 4*q + 2. Let o(l) = 5*l**2 + 3*l**2 + 97*l - 105*l - 3. Let x(t) = -2*o(t) - 5*z(t). Calculate the remainder when x(-2) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17254057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -139*d*g**3 - d*g + 1243*d - 29*g**5 + 16*g**2 wrt g?\nAnswer: -834*d*g - 580*g**3 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 3 = -25*c + 17, 2*r - 130 - 132 = 2*c - 252 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 358\/5012*10\/1\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -75a + -df8?\nAnswer: -1552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 6*b**3 + 4*b**2 + 0 + 3*b + 21 - 26*b**2 + 14*b**2. Let u be g(4). What is the highest common divisor of u and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9254016*k**4 - 24273684*k.\nAnswer: -111048192*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.163 in 4, 3\/5, -20?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -3*a + 11, -3*a - 4*x + 4 = a. What is the third derivative of -11*g**3 - 6*g**2 - 3*g**a - g**4 + 3*g**2 - 11 + 3*g**2 wrt g?\nAnswer: -24*g - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 3)*(133*k**4 + 303*k - 303*k) + 0*k**4 + k**4 + k**4.\nAnswer: 135*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 13*c**2 + 3*c - 12. Let h be n(13). Suppose 18 = 5*f - h. Let f*z**2 - 7*z**3 + 6*z**2 + 3*z**3 - 3*z**2 - 8*z = 0. What is z?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1001623 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/728 and 71\/70.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 163 - -14727?\nAnswer: 15112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 325?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**5\/4 - o**4\/2 + 1225*o**3\/4 - 615*o**2 - 6633*o + 2268 = 0 for o.\nAnswer: -21, -4, 1\/3, 6, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274 - 2*q - 1088 + 246 + 258 + 277.\nAnswer: -2*q - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 1769?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a - 13. Let i(o) = -o + 1. Let h(l) = 6*i(l) + p(l). Suppose -5*v = -0*x + x + 1, 0 = 5*v - 5. Does 17 divide h(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/137604 and 131\/870.\nAnswer: 19952580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 288 + -244. Calculate the highest common factor of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 67209 and -17.36.\nAnswer: -1166748.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**2\/9 + 28*z\/9 + 10\/3 = 0.\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 70028 >= 70980?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 39 + 444 + -445 + (-5 - 0)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y + 4*y + y. Let a(b) = b**2 + 10. Let t(c) = -2. Let l(m) = -2. Let x(h) = 2*l(h) + t(h). Let d(i) = 3*a(i) + 5*x(i). What is d(j(u))?\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 14*q**2 + 0*q**2 + 4335 - 4337 + 3*q. Let j(i) = 28*i**2 + 5*i - 4. Determine -3*j(b) + 5*x(b).\nAnswer: -14*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 8*g + 15. Let c be f(6). Suppose 0 = -3*m + 12 - c. Solve -4*b - 3*a + 8 = -11, -4*a = m*b - 23 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32 or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 67 + 32 = 0. Suppose -j = -4*h + 413. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/162*(30*-6)\/12.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 211211?\nAnswer: -211202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3470 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -147 - -146. Let b(n) = -n + 1. Let f be b(j). Solve -p - 3 - f = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 5 + (-10 - (1 + -10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*1\/(-20)*-1618. Let f = 162 + y. Which is the biggest value? (a) f (b) 5 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -8*v**2 - 4*v - 3. Let g(r) = 15*r**2 + 8*r + 5. Calculate 6*g(m) + 11*w(m).\nAnswer: 2*m**2 + 4*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -138 + 153. Suppose 0 = -p*d + d + 574. Find the third derivative of -d*g**2 + 0*g**5 - 13*g**5 + 82*g**2 wrt g.\nAnswer: -780*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 15*h + 8. What is j(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1423.45 rounded to the nearest integer?\nAnswer: -1423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -1311?\nAnswer: 1311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 35989271431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.554 - -66.254. Let k = n + -66. Let p = -3.67 - -1.37. What is the nearest to p in 3\/7, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 137562 and 10302?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 636980239?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 368 and 46184.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + i - 77, i + 27 = 3*h - 46. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58342 (base 9) to base 6\nAnswer: -500102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -18. Suppose m*t + 4*n - 5*n - 105 = 0, n = 3*t - 61. What is the remainder when t is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-226)\/(-8) - 12\/48. Suppose 3*y + 5*q + s = 0, -2*y - 9 + 1 = -2*q. Let x be 3*(-1)\/y*2. Is x at least -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r**2 - 26. Calculate g(8).\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163995.\nAnswer: 3, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 6138.\nAnswer: 61380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 798\/13 >= -7274?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 147 + 7 = 0. What is the smallest common multiple of m and 40?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -2*j**3\/3 + 1. Let r = -8 + 11. Let a(z) = 2*z**2 - r*z**2 + 4*z**2. What is a(y(o))?\nAnswer: 12*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.131 * -67863\nAnswer: 8890.053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297)*2*-5*4)\/(4*-3*sqrt(88)\/sqrt(2)).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*-1*-4 + (sqrt(77) - (sqrt(77) + 2*sqrt(77)*1 + sqrt(77))))\/(sqrt(7)*-2*-2*1).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -1, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-8))\/((-15)\/18)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41898 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1837 - 34*y**4 - 8*y**3 + 9*y**3 + 42*y + y**2 - 1838 in the form q + b*y + t*y**3 + g*y**2 + o*y**4 and give o.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -184 - -184. Suppose 0 = -x*k - 4*k - 5*f + 32, -4*k + 5*f = -32. Suppose -3*u = u. Solve -2*n + 5*g = -7, u = 3*g + k + 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 67*p = 65*p + 18, 2*y - 5*p + 30 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus -5727?\nAnswer: -5728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 20\/27, 2\/17, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w**3 + 283*w**2 - 2. Let d(j) = 15*j**3 + 1130*j**2 - 9. Let s(c) = -2*d(c) + 9*h(c). Find the third derivative of s(q) wrt q.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -69*y + y**2 + 97*y + 6*y**2 - 5*y**2 + 139*y as q*y + p + t*y**2 and give q.\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -257*m + 106. Let w(j) = -4*j - 1. Let i(d) = -p(d) - 5*w(d). Differentiate i(q) with respect to q.\nAnswer: 277","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**5\/4 + 191*b**4\/2 + 34921*b**3\/4 - 74490*b**2 + 152100*b = 0. What is b?\nAnswer: -195, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.06 - -3.94. Let w = n + -3.9. Let g = -175\/3 + 58. Which is the nearest to w? (a) 0.1 (b) -2\/15 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -557.9, -22, -2 in increasing order.\nAnswer: -557.9, -22, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 115? (a) 0.06 (b) -1 (c) -2\/7 (d) 0.1 (e) -44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 5*c - 32 = -45, 2*j + 14 = 4*c for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 4, -7, -24?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 248 - 3226\/13. Let g = 390.5 + -390. Let p = -1.6 + 5.6. What is the third biggest value in 0, g, c, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1776358903.\nAnswer: 11, 161487173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/48 and 25\/3936.\nAnswer: 3936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 2:59 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**3 + h**3 + 3*h**3)*(-2 - 2 + 6)*(-191 + 90 - 255).\nAnswer: -712*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 473701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 252*h*w**3 + 7*h*w**2 - 5*h*w - 32*w**3 - 2*w**2 + 24083*w wrt w?\nAnswer: 1512*h*w + 14*h - 192*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6565 or 6574?\nAnswer: 6565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 69838896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -111210 (base 4) to base 7\nAnswer: -4011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -1 (b) 1.7 (c) -0.2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -4219565.\nAnswer: 2\/4219565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 43\/3 in 4, 0.10931, 1\/12, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -48, 0.3, 12410, -0.3, 2\/5, 6?\nAnswer: 12410","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*c**3 - 5*c**3 - 24 + 63 + c**3 in the form q + w*c**2 + h*c + f*c**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7248, 97, 3 in ascending order.\nAnswer: -7248, 3, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 96*d - 8. Let s(w) = -32*w + 3. What is 4*q(n) + 11*s(n)?\nAnswer: 32*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -168077, -336139, -504201?\n\"Answer: -168062*g - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 11:06 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 7*l**2 - 5*l - 3. Determine h(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 8*o**2 + 5*o - 6. Let f(d) = d - 1. Let n(r) = -5*f(r) + k(r). Suppose -1 = -2*t - 3. What is the units digit of n(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1832 and -402362.\nAnswer: -73712.7184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -t - 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 10 + (-4 + -6 - 10)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(57\/3))\/(170\/4845).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -301.5 - -301. Sort 1\/99, r, -1 in descending order.\nAnswer: 1\/99, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 12*h**2 - 13*h + 7. Let l be r(-10). Let t be (20\/(-14))\/(9\/l). Solve 0 = c + 4*v + t, 2*v + 13 = 5*c + v for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + s + 11, 0 = 3016*f - 3019*f - 3*s + 42 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 660*a. Let d(t) = -19*t + 2. Give d(k(n)).\nAnswer: -12540*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 13.8 - 353\nAnswer: -339.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001073781 rounded to five dps?\nAnswer: -0.00107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - (-9 + -143 + 59)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14970 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24033 + 648893\/27. What is the nearest to -2\/3 in p, -5, 0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/725440 and 47\/290176?\nAnswer: 1450880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216*p + 221*p - 454*p + 17 = 0. Solve 2*w + 4*t + 6 = 0, p + 11 = 3*w - t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h**2 - 2*h + 1. Let k be b(-4). Let g = -33 + k. Let a be 6\/(-9) + g\/6. Solve -10 - a = 2*p - 2*d, -2*p = -5*d + 31 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000026191 to 7 dps.\nAnswer: 0.0000262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jh when two letters picked without replacement from {h: 2, j: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 548 - 553. Suppose m = -1 + 4. Suppose 0 = r + 5*v + 24, 4 = -0*r - 4*r + m*v. Put -1, r, u in ascending order.\nAnswer: u, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(396) + 0 + sqrt(396)) + 1*sqrt(396) + 2 + (1 + sqrt(396) + sqrt(396) + 0)*4.\nAnswer: -6*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -s**6\/15 + 395*s**5\/4 - 87*s**4\/4 - s**2 + 10816*s. Find the third derivative of j(h) wrt h.\nAnswer: -48*h + 11850","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1098, 2199, 3300, 4401, 5502?\n\"Answer: 1101*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a gram in micrograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/20*(-1570)\/3. Let f(h) = -h**3 - h**2 - h - 472. Let x be f(0). Let t = x - g. Round t to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/195, -3, -35597, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/6*(-13 - -4). Suppose -o - 1 + d = 0. Let a be (-2 + o)\/(1\/1). Solve 0*i + 5 = -5*y + i, y + 2*i + 1 = a for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 62 (b) -2\/5 (c) -2\/7 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61020587197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**2 + g**2 - 4*g**2)*(1 - 2*g**2 - 1) + (2*g + 2*g - 3*g)*(-65 - 14*g**3 + 65).\nAnswer: -16*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + 0.1255063.\nAnswer: -0.0744937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25891)\/7615)\/(8\/10)?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -s**3*w**3 + 52*s**3*w**2 - 3*s**2*w**3 + 4*s**2*w**2 - s*w - 240*w**3 wrt w.\nAnswer: -6*s**3 - 18*s**2 - 1440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 424520 (base 6) to base 11.\nAnswer: 24123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17a841 (base 15) to base 12.\nAnswer: 475181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68 - 66. Suppose -z*g + 3683 + 8123 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 336? (a) -0.04 (b) 1 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/1042 and -40\/19.\nAnswer: 19798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1441 - -1021. Let l be ((-2)\/(-5))\/((-4)\/u). Let x = l - 29. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*p - 130 = 4*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*y**2 - 28*y - 6*y**2 - 11*y**2 - 32*y to h*y**2 + v*y + a and give v.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2798.08 + -2875. Let r = 77 + s. Which is the smallest value? (a) -5 (b) r (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v - 4. Let s be f(5). Suppose 2*d - 4*n - n = -10, 0 = 4*d - 3*n + s. Let g be (d - -1)*2\/(-10). Which is smaller: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 4 + 1 - -3 - -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 859831 or 859844?\nAnswer: 859844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 240 divide 43228027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (18\/27*4149)\/2.\nAnswer: 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**3 + 49*r**2 + 51*r + 472. Calculate k(-24).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, j: 3, g: 4}. Give prob of sequence mmgm.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 0 - (4 - (-19 - -28)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 5*a + 2 = 0, -5*k + k + a + 8 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 7 - 3)\/2. Let l = -8 + b. Does 9 divide (-7)\/l*46\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 29*f**2 + f. Let r be k(1). Suppose -4*p + r = p. Suppose -789 = -p*c + 3*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2275*p**2 + 3*p + 17. Let g(t) = 758*t**2 - t - 5. Determine 7*g(h) + 2*v(h).\nAnswer: 756*h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-6) + (-1)\/(-22 + 25).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*j**2 - j**3 - 29*j**2 + 21*j**2 to the form z + l*j**3 + o*j + u*j**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -464, 4\/17, -16\/515 in descending order.\nAnswer: 4\/17, -16\/515, -464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26426420*m + 26426420*m - 4*m**3.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -25*s**3 + 100*s**2 - 3*s - 5. Calculate the remainder when t(-2) is divided by (-1556)\/(-36) + 2\/(-9).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1650.645 decades to months.\nAnswer: 198077.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -148*i**2 - 7*i + 2. Let p(m) = -740*m**2 - 36*m + 12. Let k(y) = -11*f(y) + 2*p(y). Find the second derivative of k(l) wrt l.\nAnswer: 296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 15*u**4\/4 + 21*u**3 + 39*u**2\/4 - 105*u\/2 + 18 = 0.\nAnswer: -4, -3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 5*c + 5, 2*w = 7*w - 2*c - 29. Suppose p - 1 = -4. Put p, -8, w in decreasing order.\nAnswer: w, p, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -63*z**5 - 18804*z**4 - 1546644*z**3 - 21038778*z**2 - 28457325*z - 8946450 = 0.\nAnswer: -141, -15, -1, -10\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13 + 16?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(200)*-1 + sqrt(8) + sqrt(2) + 3).\nAnswer: -28*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75, 275, 613, 1095, 1727, 2515, 3465, 4583?\nAnswer: 5875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-9)*o))**(2\/105)*(o**(-17))**(1\/28) assuming o is positive.\nAnswer: o**(-61\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272) + 5 - (sqrt(187)\/sqrt(11) + 0).\nAnswer: 5 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 368992*c**3 - 48869*c**3 + 254198*c**3.\nAnswer: 574321*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/5*w**2 - 36\/5 + 34\/5*w = 0. What is w?\nAnswer: -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 586? (a) 8\/11 (b) 2\/13 (c) -0.3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 - 3*d - 39 + 35*d + 75.\nAnswer: 32*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 334907 and 334910 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 198883669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/(-10) + (-13851)\/(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*8\/18 + 3\/6. Let l be (3\/4)\/((90\/32)\/(-5)). Let g = i - l. What is the third smallest value in -0.5, g, 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 11:51 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-14))\/((-10)\/35 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*b + 5*a, 3*b - 4*a - 11 = 5. Suppose -c = -b*c - 11. What is the remainder when 19 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 j when two letters picked without replacement from jjppp?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 8*j**3 + 11*j**2 + 4*j**3 - 6*j - 14*j**3 + 5 + j**3. Is 5 a factor of w(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -84\/103, -0.4 in descending order.\nAnswer: -0.4, -84\/103, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4226\/2695 - -84\/55. What is the nearest to 0 in b, 3, -40?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000019400514 rounded to seven decimal places?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41435.\nAnswer: 5, 8287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of 0*c**3 + 21\/10*c**5 + 0*c**2 - 4\/3*c**4 + 0 + 1\/30*c**6 + 42*c. What is the third derivative of w(u) wrt u?\nAnswer: 24*u + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w\/(w*w**(-10)\/w))\/w*w*(w*w*w\/w**(-3\/13))\/w*w*w*(w**(-3\/2))**(-1\/41))**37 assuming w is positive.\nAnswer: w**(641617\/1066)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 879242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*o = -69, -4*y + 4*o + 64 = -0*o. Solve 4*a = y - 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4694, 226 in descending order.\nAnswer: 4694, 226, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 - -47. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -5 - 7. What is the remainder when 53 is divided by l\/((-3)\/(-16)*64\/(-80))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*z + 2412 = 0, 0*w = -4*w + 4*z + 2412. Suppose -o + w = 30. List the prime factors of o.\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**3 - 2*x**2 + 1. Let g be d(1). Find the common denominator of -2\/5 and g - 0 - (-66)\/20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -235 and -0.7.\nAnswer: 164.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1439*q**5 - 111*q**2 - 6?\nAnswer: -86340*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + -1)\/(-2) - -1. Suppose -5 = -c - z*c. What is the second derivative of 3*w**5 - 4*w - 2*w**c + 3*w wrt w?\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 408.99+-0.5\nAnswer: 408.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v - 22. Let g be i(12). Solve 5*j = f - 13, 9 = g*f + f for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 189, 362, 535?\n\"Answer: 173*l + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (9 + -5)) + -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -60586*s. Let o(j) = -124*j. What is o(p(i))?\nAnswer: 7512664*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -17*w - 94. Let l be c(-5). Put -4, l, 5 in descending order.\nAnswer: 5, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2e518 (base 16) to base 2\nAnswer: -101110010100011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**2 + 2*p**2 - 2*p**4 + 4 - 4 + p**4 + (-3*p**3 - 2*p**3 + 4*p**3)*(-34 + 34 - 2*p) - p**4 - 5*p**4 - 3*p**4.\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1*4)\/((-23)\/(-2185)*-19)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 12, 0 = 2*g + 4*a + 10 + 26. Let n be 40\/g*(-3)\/4. Factor 7\/2*o + 11\/2*o**2 + n*o**3 + 1\/2.\nAnswer: (o + 1)**2*(5*o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 87*x**3 - 3*x**2 + x + 1452 wrt x?\nAnswer: 522*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-3)\/((-6)\/10)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -44 + -5325225?\nAnswer: -5325313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -4. Let p be (-3 - -5) + -5 + 3. Find the first derivative of -5*i**3 - 3*i**3 + p*i**3 + 10 + m wrt i.\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - k**2 + 2. Let n be c(0). Suppose -2*z + j = -1, -j - 3*j + 29 = 3*z. Suppose 2*g + n = -d, -18 = d - 2*d + z*g. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - ((sqrt(70) - -1*sqrt(70)) + sqrt(70)))\/sqrt(2))\/(sqrt(7) + (sqrt(7) - (sqrt(63) + sqrt(7))*-1)) + 2.\nAnswer: -sqrt(5)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/5 of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (0 + 9) - 1) + 2 + 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-6)*-2)\/((-13)\/273)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335730826.\nAnswer: 2, 11467, 14639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000137389 to 6 dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 271 divide 33149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/(-12)*6\/(-4). Let o(t) = -3*t**3 + 2*t**2 - t + 3. Let c(i) = -i**3 + i**2 - i + 1. Let w(m) = 4*c(m) - o(m). Determine w(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*v - 1036, -4*v + 4*w + 1292 = 464. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -26, -14, 10, 52, 118, 214?\n\"Answer: p**3 + 5*p - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and -317.175 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 19 (b) -4 (c) -13.7 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (375*i**3 - 742*i**3 + 708*i + 365*i**3)*(2 - 4*i - 2 + (1 + 5*i - 1)*(4 - 3 + 0)).\nAnswer: -2*i**4 + 708*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 549775 is divided by 8082?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 0 + ((-6)\/8)\/(47\/564).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 138 - 5213. Suppose -g - 125 = -20*u. What is the remainder when 284 is divided by u?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -13*m - 34. Calculate the least common multiple of 2 and u(-12).\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 9?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-68)*14\/(-189)*108?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*(-3 + 3*(sqrt(704) - (5 + -2 + sqrt(704))))*2*-6)**2.\nAnswer: 186624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58 and 206555777.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 2*r**2 + 6*r + 3. What is c(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 22, 13, 0, -17, -38?\n\"Answer: -2*a**2 - 3*a + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 14541383 = 2*j, 3*h = -j - 2*h - 7270689. Let a = -4929306 + j. What is a rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t + 31*t - 120 = 0. Calculate the least common multiple of 72 and t.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*p + 25 = -2*f, 0 = -2*p - 4*f - 30. Which is the third smallest value? (a) 0.1 (b) p (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 413231?\nAnswer: 7, 13, 19, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-5*(4*sqrt(243))\/((sqrt(108)\/sqrt(4))\/sqrt(3)).\nAnswer: -120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*d - 3*d - d + (-d - d + 4*d)*(-6 + 1 + 2)*(-1 + 3 + 0).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-4)*(-16)\/(-40))\/((-6)\/6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xwx when three letters picked without replacement from {x: 2, m: 3, w: 1, y: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4767)\/12712*(-40)\/(-1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1982.\nAnswer: 2, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 3\/2, -5\/2, 0.04157158 in descending order.\nAnswer: 3\/2, 0.04157158, -2\/9, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s + 7. Let m(w) be the second derivative of -2*w**3\/3 + 4*w**2 - 8*w. Suppose 2*i - 8 = 4. Determine i*o(b) - 5*m(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*i - 171*i = -20, -3*u + 3*i = 21 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*f - 224*f - 98*f = -75*f - 27720 for f.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2843342 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 59777929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4*g + 412 = 0, 3*d + 6*g = g - 315. Let f = d + 112. What are the prime factors of ((-532)\/f - -1)*-3?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j - 12. Let k be n(5). Suppose -k*t = -f - 0*t + 172, -5*f + 820 = 5*t. Let i be f\/(-40) - 8\/(-2). Is i greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 8:40 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 42*w - 47*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j - 6*j**2 + 4*j)*(-10*j**2 + 6*j**2 + 10*j**2) + 3*j**4 - 9*j**4 - 7*j**4.\nAnswer: -49*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**4\/5 + 971*j**3\/5 - 2906*j**2\/5 + 1936*j\/5 = 0 for j.\nAnswer: 0, 1, 2, 968","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*y - 15. Find the second derivative of -4*c**3 - 8*c**3 + 0*c + 7*c - y*c**3 wrt c.\nAnswer: -102*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 24*k**5\/5 + 19*k**2\/2 + 12. Find the second derivative of n(a) wrt a.\nAnswer: 288*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365967671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1066290.942 plus -4?\nAnswer: 1066286.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2559.1 + -2559. Let i = 5 + -6. What is the closest to -1\/5 in i, 4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b + 59987 - 60007, -3*b = 2*x + 54 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**4 + 7 - 7 - 2*p**2 - 4*p + p**4 + 4*p + (4*p**2 - p**3 - 4*p**2)*(p - 3*p - 3*p) + (-1 + p**3 + 1)*(0*p + 0*p - p) + p**2 + 2*p**4 - p**2.\nAnswer: 8*p**4 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9398.909 decades to centuries.\nAnswer: 939.8909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -163800 to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/9*2628\/1168.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451600?\nAnswer: 2, 5, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 162*f**2 + 329*f - 541. Is z(-95) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2756943*f**3 - 4466990*f**3 + 468846*f**3.\nAnswer: -6755087*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9614 - -1710. List the prime factors of o.\nAnswer: 2, 19, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 1) + (35 - 34) + -10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 214 - 1150224?\nAnswer: -1150010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -6, -44, 0, -1, -157 in descending order.\nAnswer: 21, 0, -1, -6, -44, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78846038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 6:28 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 7:12 AM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i - 2. Give d(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9, 19, 25, 27?\n\"Answer: -2*m**2 + 16*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/1920 and 169\/1920.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 10*w**2 + 11*w + 12. Calculate the remainder when o(3) is divided by 24.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-l + l + l)*(2 + 0 - 1) + (0 - 1 + 3)*(-1 + 1 + l))*(5 - 3 - 4).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9006488?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341 is divided by 87.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*r + 120*r**2 + r - 9*r.\nAnswer: 120*r**2 - 51*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**5\/2 + 772*g**4 - 37128*g**3 - 331096*g**2 - 854104*g - 693216 = 0.\nAnswer: -4, -2, 58, 1494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36067003 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 76220377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/6 (b) 156 (c) -4 (d) -0.13372\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4c443 (base 13) to base 7.\nAnswer: -1126032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1*1)\/(-10 - 66\/(-6)). List the prime factors of (-4)\/(8 - 10) - 133\/z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 328305*k**3 - 72960*k**2 wrt k.\nAnswer: 1969830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -153000 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5193 is divided by 102.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(171) - sqrt(171))\/sqrt(9) + 2)**2 - sqrt(684)*-6*-3.\nAnswer: -128*sqrt(19) + 479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112)\/sqrt(4))**2 + 0 + sqrt(343) + -3 - ((sqrt(252) - sqrt(252)*-1)\/sqrt(9))\/(sqrt(40)\/(-2*sqrt(10)))) + 1.\nAnswer: 26 + 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -4671*o**5\/20 - 11*o**3\/2 - 123*o**2\/2 - 6*o + 259. What is the second derivative of q(t) wrt t?\nAnswer: -28026*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44445476 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(432)*-1)*-1 - (((2*sqrt(768) - sqrt(768)) + sqrt(768) - sqrt(768)) + sqrt(12))\/(sqrt(20)\/(1*sqrt(5))).\nAnswer: -5 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -11. Let i = g + -1. Let s = i + -1.9999994. What is s rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*v**3 + 35*v**3 - 105*v**3 - 17*v**3.\nAnswer: -152*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 83886 and 120417?\nAnswer: 7465854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1007924 divided by -17378\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) 4 (c) -1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 3*n + 4 - 34 = 0, -36*l = -34*l - 4*n + 14 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -17. Suppose -106 = -3*h - d, f*h + 4*d = d + 133. What are the prime factors of h?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by -9.\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 5 + 7 - 2*b)*(10 + 3 - 4*b - 12)*(5*b - 6*b - 8*b) to the form u*b**3 + f*b + o + i*b**2 and give f.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8, -3, 0, 1, 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 45 = g. Suppose 2*z - g = 9. Calculate the remainder when 44 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2*h + 422 = -6*v, 0 = -5*v + 3*h - 1045. Let a be 2\/((-210)\/v + 0 + -1). Let i = -31 + a. Calculate the remainder when i is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v**2 - 4*v + 4. Suppose -3*t + 7 = -2*t. Let c(g) = t - 2*g**2 + 8*g - 3*g**2 - 15*g. Calculate 4*c(z) - 7*p(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -25 + (38 - (5 + 3))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 - 32. Solve -j*s = -0*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of x**4\/2 + 8*x**3\/3 - 55*x**2 + 100*x - 2217. Factor d(z).\nAnswer: 2*(z - 5)*(z - 1)*(z + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1010 = -2*m - 2*x, m + 7*x - 3*x = -520. Let s = m + 1377. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from omemzmummzommuzmoem. Give prob of picking 1 e and 1 m.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41*g**5 - 2*g**4 - 124*g**2 + 7*g**2 + 9*g**5 wrt g?\nAnswer: -1920*g**2 - 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**3 - 6*d**2 + 3*d**3 + 351*d**4 - 30*d**2 + 2*d - 4*d**3 + 3 - 350*d**4 in the form n*d**3 + o*d**4 + h*d**2 + l*d + x and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 3*b + 4, -8*m = -4*m - 4*b for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*o - 18 = -39*o. Put o, 2, 1.1, -0.1 in descending order.\nAnswer: o, 2, 1.1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 5:23 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = f + 4*w + 31, -3*w - 9 = 0. Let n = -48 - f. Let d(v) = v**3 + 3*v**2 - v + 4. Calculate the remainder when d(n) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qveqvfemvgfffg. What is prob of picking 1 m and 1 f?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) -1.41 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 7*t = 78. List the prime factors of t.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 b when three letters picked without replacement from bbuhs.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - n. Suppose -4*b - 3 - 5 = 0. Let k be b\/(-2) - (0\/(-6) + 2). Let j(z) = -8*z**3 + 12*z. Determine k*j(d) - 12*x(d).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -14*(-155275)\/(-86954)*(8\/10)\/((-2)\/3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 2*m - 3. Let o be z(-6). Suppose 5*c = -2*c + o. Let r(w) = 8*w**2 + w - 2. Is 15 a factor of r(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/98 and ((-6)\/(-20))\/(14\/50).\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((0 + sqrt(153))**2*5 - 4*(sqrt(153) + sqrt(153) + 2)**2).\nAnswer: -1701 - 96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(84\/88) - (-5 + 2). What is the closest to -0.1 in -0.3, f, -3\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 2)*(2*q**2 - 60*q**5 + 5006 - 5006).\nAnswer: 60*q**5 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = n - 8*r, -2*n - 2*r - 72 = -42 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/45)\/((-2)\/3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 529*q**6 - 96*q**2 - 2?\nAnswer: 63480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -c + 2*c**4 + c + 17*c**4 - 5*c**4 - 2*c**4 + 3*c - c**4 - 3*c + (3 + 4 - 6)*(0*c**2 - c**4 + 0*c**2) as d + f*c**3 + y*c**4 + l*c**2 + g*c and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -w + 32. Let y = w - 19. Solve 0 = -b + y*b - 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182*n - 95*n + 25*n.\nAnswer: -252*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*g - 2*s - 18 = -236*g, -23 = -3*g - s for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4\/7, -2\/11, 140, -59, -5, 0.3?\nAnswer: 140","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*12117.\nAnswer: 4846.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l - 1. Let t be u(-2). Let q(p) = -15*p - 16. What is the remainder when q(t) is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r + 21*r + 4*r + 3*r in the form q*r + j and give q.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69 - 1 - (48 + -30) - 19.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**2 - 7*a**2 + a + a**3 - a**4 + 389 - 388 to k*a**4 + x*a**2 + u*a**3 + g*a + y and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(704) + 0)*-6 + sqrt(704)))**2 - (0 + sqrt(1584) + -5 + 1).\nAnswer: -12*sqrt(11) + 17604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 180, 280, 380?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b**2 - 2*b**2 + 3*b**2)*(0*b**2 + 0*b**2 - b**2) + b**4 + b**4 - b**4 + 7 - 7 - 36*b**4 to the form p*b + d + v*b**4 + f*b**2 + s*b**3 and give v.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, 3\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 0 - (-23 + 17 + 3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -329 - -331. Which is greater: c or -2\/37?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*u - 22*u + 39*u - 14056*u**2.\nAnswer: -14056*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (73827\/(-78))\/((-2)\/4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 77*o - 19 - o**2 - 40*o - 51*o. Let q be m(-10). Is 69*1 + (q\/7)\/3 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 6. Let p = -439 - -445. Suppose 0 = p*v + 486 - 480. Sort v, k, 0 in decreasing order.\nAnswer: 0, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2898?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -6. Let r be 375\/2*2\/12. Let l = -31 + r. What is the nearest to l in -1, o, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 94235, -0.012?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 1357578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**4\/42 - 2*a**3\/21 - 3*a**2\/7 - 13*a. Factor x(c).\nAnswer: 2*(c - 3)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*x - 4*v, -v - 35 = 2*x + 4*v. Let m be 2\/10 + 22\/x. Sort 3, m, 5 in descending order.\nAnswer: 5, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0176746 to four decimal places.\nAnswer: 0.0177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5539581 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -160382a (base 14) to base 2\nAnswer: -101001000100011111101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (-31)\/((-2015)\/(-550))) + 2*-4 - -9?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04928 + -0.15072. What is the closest to 1\/5 in -0.4, l, 21?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1210 + 2012112121?\nAnswer: 2012110211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/(o**7*o*o)))\/(o*o**(-16)*o*o*o))**(-34))**(-49) assuming o is positive.\nAnswer: o**34986","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 3:25 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 438525 and 559575.\nAnswer: 1090611675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -42*f**2 + 16*f - 1. Let q(i) = -15*i**2 - 13*i**2 + 8*i - 1 + 3*i. Let s(z) = -5*d(z) + 7*q(z). Calculate the remainder when 54 is divided by s(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4356 and 18216?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.29928 rounded to one decimal place?\nAnswer: -7.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 2424.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09102523 to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -103.611 minus 2565?\nAnswer: -2668.611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4*(sqrt(110)\/sqrt(2))\/sqrt(11)*-4)**2.\nAnswer: 1282","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30407 is divided by 226?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 1b812?\nAnswer: 1b817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.4508 - -0.0902. Let x = -0.141 + o. Which is the second biggest value? (a) -2\/7 (b) -0.5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*y**4 - 55*y**3 + 52117*y**2 + 167770747*y wrt y?\nAnswer: -72*y**2 - 330*y + 104234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 16*u**2 - 62*u - 360. Let f be k(-19). Sort -1\/2, -2\/3, f.\nAnswer: f, -2\/3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -1d275?\nAnswer: -1d277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9.4 and -3803021.\nAnswer: -3803030.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**3 - 6*p**2 + 0*p**3 - 6*p**4 - 2*p**3 + 8*p**4 to the form q*p**3 + w*p**4 + j + k*p**2 + n*p and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 39*l**3\/2 + 36*l**2 - 6*l = 0?\nAnswer: -2, 0, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 10:23 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5787 and 6.\nAnswer: 11574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -321 - -466. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 962 and 4.\nAnswer: 1924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 61921703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*x**3 - 1 + x**2 - 258*x + 258*x + (-4*x**2 + 4*x**2 + 3*x**2)*(5*x + 0*x - 3*x).\nAnswer: -8*x**3 + x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**3 - p**2 - p - 1. What is a(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1778 (base 11) to base 7\nAnswer: 6412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = o. Solve -z = -o + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0019544 to 5 dps.\nAnswer: -0.00195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -30199\/31414?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 985 = 32*r - 27*r. Let d = 6 + r. List the prime factors of d.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-6 + 1 + 0)) + -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -334*h - 88*h = -17374162. List the prime factors of h.\nAnswer: 13, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2163680*z + 2163680*z + 2*z**2 - 158.\nAnswer: 2*z**2 - 158","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18838 = -1931*f + 63096 + 20047 + 55417 for f.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -70201, -140651, -211107, -281575, -352061?\n\"Answer: -g**3 + 3*g**2 - 70452*g + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -572*v + 3*a = -293*v - 281*v + 2, 2*a + 2 = -2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 9, -0.7, -0.5, -4, 7422, -3\/4?\nAnswer: 7422","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 3*k - 60 = 0. Let u = 46 - 10. Suppose z + x - 9 = u, 0 = 3*z - 3*x - 165. What is the greatest common divisor of k and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {q: 1, s: 2, y: 2, i: 12, k: 1}?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1874 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*u + 6. Suppose -3*b - u = -8*b. Solve -b*o = -o - 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0029141448 to 5 dps.\nAnswer: 0.00291","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 8 = x, 5*x - 4 = 2*l + 15. Let s be -4 + (-3)\/2*-6. Suppose -x*y + 5*m + 50 = 0, 3*m = -y + m - s. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 384401.3 kilograms to grams.\nAnswer: 384401300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u - 1. Let t(g) = g + 1. Let n(b) = -p(b) + 2*t(b). Is n(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**3 + 5*t**3 - 4*t**3 - t**3 - 2*t + 2*t + (-6*t + t + 3*t)*(t**2 + 5*t**2 - 5*t**2) - 4 + 2*t - t**3 - 1 + 4.\nAnswer: -3*t**3 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 2. Suppose -8 = -14*k + 13*k. Calculate the remainder when k is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1919252 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + u**2 + 0*u**3 + 6*u - u**4 - 5*u. Let x(w) = -2*w + 2*w**5 - 5*w**3 + w**5 + 3*w + w**2 + w - w**4. Let g(l) = -2*v(l) + x(l). Factor g(o).\nAnswer: o**2*(o - 1)*(o + 1)*(3*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291187812.\nAnswer: 2, 3, 3301, 7351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 = 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*i - 12 = -22*i + 4*r, -6*i - 5*r - 32 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 591*b**5\/20 + 4321*b**2. Let w(m) = -2*m**2. Determine x(w(a)).\nAnswer: 7092*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 8*z**3 - 3*z**2 - z + 2. Let g be k(2). Let o be (0 - (-10)\/15)*12. What is the tens digit of g*4\/o*36\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173 + 15*v**3 - 67*v**2 + 67*v**2 - 173.\nAnswer: 15*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(500) + (sqrt(500) - ((sqrt(500) + 0 - sqrt(500)) + sqrt(500))))*-5)**2*-5.\nAnswer: -62499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1 + sqrt(432) + 3 + 1)**2 - (-5 + -2*sqrt(432)*6 + sqrt(432) + (-2 + sqrt(432))*-5)**2.\nAnswer: -110160 + 2040*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 3. Let w be s(-5). Let f be (4 + -7)\/(740\/w - 1). Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 6:02 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert c0 (base 15) to base 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40768360 to the power of 1\/3, to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*w - w + 4*w)*(1 - 4 + 2)*((0*w - w + 0*w)*(-8*w - 4880 + 4880) + 2*w**2 - 2*w - 4*w + 4*w) to k*w**3 + q*w**2 + z*w + i and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -10*s - 25. Let z be h(-3). Suppose -2*u - 102 = -z*o + 241, -3*u = 4*o - 256. List the prime factors of o.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**3 - 17*j**2 - 12*j - 29. What is the units digit of r(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005688114 to 6 decimal places.\nAnswer: 0.005688","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/8 - ((-14)\/88 + -1)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 6. List the prime factors of 2 + (f - 3) - -13.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-8 - (19 + -12))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bwbhpiwwt. Give prob of picking 1 i, 2 w, and 1 p.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 c, and 2 w when four letters picked without replacement from lazacowz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 - -43. Let m(p) be the third derivative of -1\/8*p**4 + 0 - p**2 + 0*p**v + 0*p. Let t(k) = 2*k. What is t(m(y))?\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6041)\/3577 + (-3)\/(-7). Let m = 53\/1606 + t. Find the common denominator of -43\/22 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1500)\/3000*14\/(-343).\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -292, -4, 0.4, 0.9 in decreasing order.\nAnswer: 0.9, 0.4, -4, -292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/403? (a) 3 (b) -1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*q = -81, -2*z + 5*q - 35 = -0*z. Let s = 63 - 11. Let k = s + z. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*g - 174*g - 144*g = -596*g - 2982 for g.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -46, -73, -98, -121?\n\"Answer: j**2 - 30*j - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 112*(-3)\/18*1\/(-8). Let 1\/3 + 2\/3*u**4 + g*u**3 + 3*u**2 + 5\/3*u = 0. Calculate u.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 t when two letters picked without replacement from tnjttjjtjjnt.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -49f6a (base 16) in base 3?\nAnswer: -120101120112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/263 and -43\/2?\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*3\/2*1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 12*r**2 + 4*r**2 - 11*r**2 - 5*r**2 + 92*r + 168 + 4*r**2 = 0.\nAnswer: -21, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = -35*h + 97 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 59610 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -794963, -1589918, -2384873, -3179828, -3974783?\nAnswer: -4769738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 4*y - 12. Let w be d(3). Suppose 4*n + 2*b - 30 = -w*n, n + 20 = 5*b. Suppose 5*i - l = 229, -n*i + 4*i + 49 = -l. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 51*u - 616. Determine x(10).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(187)\/sqrt(11) - sqrt(833)*-4) + ((sqrt(2057) - (5 + sqrt(2057) + sqrt(2057))*-2)*-5)**2.\nAnswer: 27529*sqrt(17) + 1288120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u**5\/12 - 55*u**4\/2 + 38969*u**3\/12 - 472675*u**2\/3 + 2422500*u + 7750000\/3 = 0. Calculate u.\nAnswer: -1, 31, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 11, 5, -4 in decreasing order.\nAnswer: 11, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 7*q**2 + 9*q - 14. Does 39 divide p(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 55\/15 + (-4)\/6. Suppose -n*h - 1 = -10. Suppose i = 3*i + 4*i. Solve i = -h*l - 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(684) + 1) + sqrt(684))*-4.\nAnswer: 16 + 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74355 is divided by 12372.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 v when two letters picked without replacement from {x: 1, d: 1, v: 1, j: 1, r: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -8, 2, -5, -2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 169\/349 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 13. Find the common denominator of 171\/y*(-2)\/20 and -71\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3291 + 3290)\/((-1)\/(-39)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 43682754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10639552.\nAnswer: 2, 7, 11, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 2*k - 4*g + 1, -5*k - 5 = -3*g for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 + -123\/2. Which is the second smallest value? (a) y (b) -4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*(a*a**(-8)*a)\/a))\/(a*a**(-1\/3)\/a))**(3\/46) assuming a is positive.\nAnswer: a**(11\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20535.\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -229 + 141. List the prime factors of 6\/(-9) - m\/6.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9\/3)\/(-6))\/((-27)\/(-18)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-3*sqrt(931)*-2 + ((4*sqrt(931)*2)**2 - (0 + -1 + sqrt(931))))*-5.\nAnswer: -297925 - 175*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-168)\/16)\/((-6)\/(-16)*-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 2*b - t - 705, -1395 = -4*b - t. What is the remainder when b is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in -0.3, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 480921459 to the nearest integer?\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1920594, -3841191, -5761788, -7682385, -9602982, -11523579?\n\"Answer: -1920597*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*d**3*p**4 - 29*d**3*p**2 - 5*p**5 - p**2 wrt p.\nAnswer: -432*d**3*p - 300*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -9*k**3 + 2*k**2 - 4*k - 3. Let p(c) = -14*c**3 + 3*c**2 - 6*c - 5. Give -8*o(m) + 5*p(m).\nAnswer: 2*m**3 - m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 68. Let g be (1\/(-3))\/(2\/d). Let q = 170\/21 - g. What is the closest to 0 in -3.8, q, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) -2\/9 (b) -1.4 (c) -4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 14*z**2 + z + 15. Let q be f(-14). Which is the third smallest value? (a) 1\/6 (b) 5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3*b - 1662 = 0, -1662 = -3*c - 86*b + 82*b. List the prime factors of c.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13622501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 2)*(0 + 0 - 3*l) + 2 - l + 2*l - 2*l.\nAnswer: 5*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35\/23 + -501\/230. What is the common denominator of k and -67\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/((-50)\/(-5)))\/(2\/6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2\/3 + 1080412*b\/3 - 6482040.\nAnswer: -4*(b - 270085)*(b - 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhh when four letters picked without replacement from hhhhhhhhhhhhhaahhhha.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qvvsqvvqvvmqvvvvv. What is prob of picking 2 v, 1 m, and 1 s?\nAnswer: 11\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(456)\/(sqrt(32)\/sqrt(4)) + 1*sqrt(513))\/((1*sqrt(54))\/sqrt(2)).\nAnswer: 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192)\/sqrt(4) - (-2 + (sqrt(3) + -2 - sqrt(3) - sqrt(3)) - sqrt(3))) + ((sqrt(15) + sqrt(135) + sqrt(15))*5)\/(sqrt(50)\/(sqrt(10)*1)))**2.\nAnswer: 248*sqrt(3) + 2899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x**2 - 17*x - 3. Let s(l) = -2*l + 7*l**2 - 1 - 6*l**2 + 3*l. Let n(i) = -j(i) - 2*s(i). Is n(-21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 48022844 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -79664 by -1532.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 750\/(-26) - (-8)\/(-52). Let w = a + 50. Is w a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38569 + -38551. Let v be 24\/(2*9\/12). Solve -2*q + v - t = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39*f**3*l**5*q + 6*f**3*l**3 - 4*f**3*l*q - 2*f*l*q - 5*l wrt l?\nAnswer: -780*f**3*l**3*q + 36*f**3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/98*945\/216?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m = -34*m + 18*m. Is 10716 + m - (43 + -38) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 64*o**4 - 59*o**3 - 54*o**2 - 2*o + 48486. Let w(r) = 13*r**4 - 12*r**3 - 11*r**2 + 9699. Let p(c) = 12*l(c) - 59*w(c). Differentiate p(z) wrt z.\nAnswer: 4*z**3 + 2*z - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**4 - 135*b**3 - 138*b**2.\nAnswer: 3*b**2*(b - 46)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 5*o**2 - 9*o - 5. Let y(t) = -3*t**2 - 4*t - 135. Let z(v) = -5*v**2 - 7*v - 236. Let l(a) = -7*y(a) + 4*z(a). Calculate 5*l(c) + u(c).\nAnswer: -c**3 - 9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 2, 48, -0.001?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/(-3) + -2)*-3. Let i be (3 - 2 - q) + -2. What is the remainder when 10\/(i + 5\/2) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15779 = 30*w - 6721. What is the highest common divisor of w and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9398 = 1855*k - 11416 - 6331 - 32215 for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1156*m**4 + 3*m - 324 wrt m?\nAnswer: -13872*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 1:26 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3190 and 165?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53132 by 1.\nAnswer: -53132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/35873 or -3?\nAnswer: 5\/35873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 14. Does 3 divide m(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**2 + 37*p - 155*p + 25*p - 115*p + 5 as t + l*p + j*p**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 398626 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 152 = k - 81*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 84796818 a multiple of 291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -66729*b + 66732*b + 34, 2*s - 4 = -14 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and 405866.646?\nAnswer: 405866.246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 471 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.7133828 months to centuries.\nAnswer: 0.001427819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, j: 7}. Give prob of sequence jj.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**5 - 835*r**4 - 49485*r**3 + 104715*r**2 + 153360*r = 0. What is r?\nAnswer: -48, -1, 0, 3, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -35*k**2 - 11*k + 64*k**2 - 27*k**2. Let m be h(6). Suppose -m*c = 59 - 155. Calculate the remainder when c is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -483, -475, -461, -441, -415, -383, -345?\n\"Answer: 3*t**2 - t - 485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -123.9948 rounded to zero decimal places?\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/3 - 84\/(-18). Suppose 5*o - k - 6 = 0. Find the first derivative of -5 - 11*a + o - 11 wrt a.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-2 - -4 - -12)) + (-162 - -170)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 112\/(-40)*(2\/(-3) - 91\/(-546))\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -29809.48.\nAnswer: 89428.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i + 3. Let v(s) = 4*s - 2. Let p(c) = c**3 + 3*c**2 - 2*c - 3. Let a be p(-3). Give a*v(w) + 2*z(w).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8850 + -10642.9. Round b to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98556*y**2 + 103306*y**2 + 225293*y**2.\nAnswer: 230043*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 576258704 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -z**6\/120 + 3*z**5\/20 + 17*z**4\/24 + z**3\/6 - 567*z**2. Give s(11).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 72576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 10:49 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/5, 777.385, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 383 - 536. Let p = d + 155. Solve -p - 3 = a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ebooxqq. What is prob of sequence xeoq?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4141 + -16.5859. Which is the closest to u? (a) 2 (b) -0.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -432225988.9999962 + 432226026. Let o = p + -37. What is o rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09165 rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13135 - -6579?\nAnswer: 19714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x - 2. Let l(f) = f**2 - 7*f + 6. Let n be l(5). Let h be k(n). Suppose -a - 5*s = -22, h*a = a + 2*s + 2. Solve -a*m - m = -6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 540387485 to the nearest integer?\nAnswer: 23246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t - 6. Let a be 850\/30 + (-2)\/(-3). Let i = 21 - a. What is p(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 143899231.49 + -143902397.48997127. Let d = b - -3166. What is d rounded to 6 decimal places?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1843 is divided by 126.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + 2)*(-4)\/12. Calculate the remainder when s\/4*(2 + -56) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -341.571 - -342. Let j = 0.4290092 - r. What is j rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 2:37 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k + 5*u - 56, -5*k + 61792481 - 61792411 = -18*u for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/10 - (-1206688)\/320?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-120)*(-18)\/15)\/(-1)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z - 6*z + 2*z + (5 - 5 - z)*(-4 + 4 - 1) - 1270 + 1270 - 43*z to the form u*z + k and give u.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26338.\nAnswer: 2, 13, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 19*m + 62. Let z be v(21). Suppose -5*x = 15*x - z. Suppose -6*f + f - 25 = 0. Is f less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 433 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 114811418 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-36)\/(-162) + 2\/(-9). Suppose h*s = -2*s - 82. Let l = s - -45. Solve y - 3*c = l + 12, -12 = -2*y + c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 15, -2*v = 5*q - 6 - 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 106702031998 and -4.\nAnswer: 106702031994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = -11*a + 26*a. Let j(g) = -3*g**3 - 2*g**2 + 3*g + 3. Let w be j(-2). Which is smaller: a or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -563\/654 - -3\/109. Let d = -10627\/3 - -3619. Let s = -76 + d. Which is the second smallest value? (a) s (b) -0.5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - l - 3. Let f be j(3). Let x(b) = 4*b - 10. Let k be x(f). Is 106\/(-4)*(-7 - (9 - k)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 58*b - 60. What is k(-57)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, p: 1, u: 2, d: 4, x: 2}. Give prob of picking 3 d.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-4)\/(-5))\/(122\/61)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 772 is divided by 765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-66984)\/(-42)*(-21)\/(-6)*1.\nAnswer: 2, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4*p**2. Let o(t) = 49*t**2 + t + 1169. Calculate o(d(m)).\nAnswer: 784*m**4 - 4*m**2 + 1169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175226430 divided by 1.\nAnswer: 175226430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h. Let q be (-4)\/(-16) + 3\/4. Let s(t) = -3*t**2 + 3*t + 2. Let j(m) = q*s(m) + 3*z(m). What is the derivative of j(r) wrt r?\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5776 - -14642. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 205 = -b, 4*u + 53 + 110 = -b. Let w be (-24)\/3*(u\/8 + 3). What is the lowest common multiple of (2 + -1)*(-3 + w) and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36\/16*(-2)\/(-42)*1184\/(-1776)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + t**2 - 45 + 25 to f*t + y*t**2 + j and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*v**2*x**4 + 683*v**2*x**2 + 8*v**2 + 368*v*x**4 + 3*x**4 wrt x.\nAnswer: -288*v**2*x + 8832*v*x + 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 6*i**2 - 2*i. Let b be y(2). Suppose -4*q + 2*r + b + 2 = 0, 4*q = 4*r + 32. Is (134\/4)\/(q\/6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*r**2 - 14*r**2 - 16*r**2)*(3 + 2*r**2 - 3).\nAnswer: 12*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1333849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 1145.75\nAnswer: 5728.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**5\/5 - 2068*z**4\/5 - 34758*z**3 + 353776*z**2\/5 - 35584*z = 0.\nAnswer: -80, 0, 1, 1112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 18*g - 57. Let u be x(21). Suppose 63*p = 64*p - u. Let c(k) = k**3 - 6*k**2 + 4. Calculate the lowest common multiple of c(p) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -0*k - 4*k. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**3*x**2 + 4*d**3 + 240*d**2*x**2 - 2*d**2 - 109*d*x**2 - 40*d - 6*x**2 + 5*x wrt d?\nAnswer: 6*d*x**2 + 24*d + 480*x**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24068)\/(-1641)*2\/(-11)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*q*y**5 + 4*q*y**2 + 26*q*y + 2*q - y**5 + 2 wrt y.\nAnswer: -240*q*y**3 + 8*q - 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.1, 2\/19, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 97*t + 81*t + 42*t + (0 - 3 - 2)*(4 + 4 - 2)*(-4 - t + 4).\nAnswer: 250*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24250 + -10235143?\nAnswer: -10303433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1861049 - 3*d**3 + 1861049.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 187705, 187721, 187741, 187765?\nAnswer: 187793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 66 - 49 + 114 - 4*w. What is the remainder when k(-22) is divided by 74?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xp when two letters picked without replacement from pppvcvxvvqppppq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/114672860 and -57\/16.\nAnswer: 458691440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/11 and -17\/734.\nAnswer: 8074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (318\/(-42) - -7) + -12 + 8155\/637?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 341 = 21645*d - 21656*d for d.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12834485 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 10 - 4 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5647*n**2 - 2050*n.\nAnswer: -11294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 5*f**2\/2 + 3. Let d(p) be the second derivative of -1\/2*p**3 + 0*p**2 + 0 + 5*p. Determine d(r(c)).\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 91 + -78. Solve -x + 3*n + 1 = y, -21 = 4*x - 3*n for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -25*m + 17*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1899086293?\nAnswer: 13, 79, 103, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 123679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 3\/3*8. Let o(x) = -x**2 + 10*x - 8. Let z = -12517 + 12519. What is the lowest common multiple of o(q) and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 5)*(-11191*w**5 - 10*w + 51*w + 11200*w**5).\nAnswer: 9*w**5 + 41*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/9 + 7\/9. Suppose -4*s = -r + 75, 4*s + 18 = -2*r + 108. Is j*-2*r\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 68 = -q, -4*y - 7*q + 3*q = -128. Suppose 8 = 4*s - y. Solve -4*b = -3 + s for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -450 divided by 843\nAnswer: -150\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 8*m + 116. Let y(u) = u**3 + 11*u**2 - 6*u - 6. Let l be y(-11). Let s = m + l. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223 = -3*f - 4*o, -32*f - 25*f + 55*f = 12*o - 158 for f.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/14138774 and -85\/57242.\nAnswer: 14138774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**3 + 23 - 7 - 2*y**4 - y + 0*y**3 + 0*y**4 to the form d*y**4 + a + z*y**2 + s*y + u*y**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + g**2 + 3*g. Let v(m) = 9*m**3 + 2*m. Determine -5*k(w) + v(w).\nAnswer: 4*w**3 - 5*w**2 - 13*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1538492.\nAnswer: 2, 384623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -198.905 and 5?\nAnswer: -994.525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*i + 7. Suppose -13 - 35 = -i*f. Let u(w) = w**3 - 7*w**2 + 8*w - 9. Let s be u(6). Solve -s*h = h + f for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, 2, 2\/75, 4\/5, -5\/6, -7?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97062 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 91 - 327. Suppose -2*c + 5*a - 154 = 0, 5*a = 4*c + 6*a + 264. Let z = p - c. Solve 0*d + z = -2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 23) + 16 - ((1 - -1) + -38)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-115)\/115)\/(2\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47087 - -47090. Factor 32\/9 + 112\/3*c**2 - 98\/9*c**v + 24*c.\nAnswer: -2*(c - 4)*(7*c + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -9*s**2 + 10*s - 45. Let g(p) = -11*p**2 + 12*p - 44. Determine 5*g(m) - 6*z(m).\nAnswer: -m**2 + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 4. Let k(v) = 3 + 344*v - 347*v + 2 + 1. Determine k(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*z + 133705 = 0, z - 26754 = -s - z. Let l = s + -293922\/11. Let i = -24 + l. Which is the nearest to 1? (a) -3\/2 (b) -0.4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*f - 27*f - 26*f - 17*f + 101*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -7*w + 2*w - 8, 0 = w - 195*d + 194*d + 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 3*r + 2*i - 3, -2*r = 4*i - 12. Suppose -34*d = -30*d - r. Factor x**4 - 4*x**4 + 5*x**d - 4*x**3 - 8 + 16*x - 6*x**2.\nAnswer: 2*(x - 2)*(x - 1)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence quu when three letters picked without replacement from uuumzaaaqaaaam?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*n**2 + 1670372*n + 14912535 wrt n?\nAnswer: -4*n + 1670372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l - 3*l + l**2 + 5 + l. What is the units digit of j(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4\/3 + 10*h**3\/3 - 11*h**2 + 44*h\/3 - 20\/3.\nAnswer: -(h - 5)*(h - 2)**2*(h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, 9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q + 844*r - 22793 = 5*q, -25*r - 111 = -3*q - 29*r for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 5*x + x)*(89*x**4 + 2 - 285*x**4 - 2).\nAnswer: 196*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -6 - -7) + -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4473 and 923?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.18653um in kilometers?\nAnswer: 0.00000000918653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/49685 and 47\/79496?\nAnswer: 397480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -42\/17, 21\/5, 2\/13, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30009443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 453*w - 451*w = -10. Let b(v) be the third derivative of v**4\/24 + 7*v**3\/6 + 4*v**2. Calculate the remainder when 4 is divided by b(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/7)*d*d)\/d*d**(1\/3) assuming d is positive.\nAnswer: d**(55\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 7*m + 12. Let c be s(-5). What is the third derivative of 9*y**3 - 4*y**3 + 0*y**3 - 3*y**3 - 7*y**c wrt y?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -813966, -1627904, -2441820, -3255708, -4069562, -4883376, -5697144, -6510860?\nAnswer: -7324518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5527 is divided by 204.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 971627?\nAnswer: 131, 7417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 to the power of 1\/2, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1329.27 to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 + 8*q**2 - q**2)*(2 + 2 - 1) + 0*q**2 + 2*q**2 - 3*q**2.\nAnswer: 26*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vc when two letters picked without replacement from {e: 1, c: 2, d: 1, v: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 5, -3, -6\/17, 7, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + ((sqrt(70)*2 - sqrt(70))*3 - sqrt(70))\/sqrt(10)*3)*5)**2.\nAnswer: -1200*sqrt(7) + 6700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of k**4\/8 + k**3\/6 - 4*k**2. Let w(z) = 6*z + 3. Let n(l) = 5*g(l) - 2*w(l). Calculate n(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j*m**5 + 8*j*m**3 + 12*j + 10*m**5 + 5*m**2 + 1 wrt m.\nAnswer: 60*j*m**2 + 48*j + 600*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -300231, -300430, -300631, -300834?\n\"Answer: -v**2 - 196*v - 300034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 0 + 768\/(12\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -580*d + 4527. What are the prime factors of a(-112)?\nAnswer: 11, 6317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*2*(-2)\/4. Let i = -13 - -8. Let p be (-3)\/(1 - 2\/(-4)). Sort i, p, r in decreasing order.\nAnswer: p, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.829 + -97\nAnswer: -104.829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -641, -18, -2, 5, -6, 1, 10 in descending order.\nAnswer: 10, 5, 1, -2, -6, -18, -641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -5 + 2 + 0 - 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -120 + 126. Solve -d = 4*q - g*d + 17, -5*d = 5*q + 10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54 + -91. Let c = a - -89. Suppose -p = p - c. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-8)\/(((i*(i\/i**19)\/i)\/i)\/i) assuming i is positive.\nAnswer: i**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4199 - 4031. Calculate the remainder when y is divided by 83.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15159*j*n**2*z + 3*n**2 - 3247*n*z with respect to j.\nAnswer: 15159*n**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -295*i**3 - 14*i**2 - 41*i + 4. Does 16 divide z(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 8*z**2 - 9*z + 6. Let y be v(-9). Let n = 5 + -1. Factor y*a**4 + 2*a - 2*a**2 - 2*a**3 - a**4 - 3*a**n.\nAnswer: 2*a*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbxbxcexxxbxxccv. What is prob of sequence ec?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*a - 8 = -120. Solve w + a*v = -1 - 16, -3*w = 4*v + 11 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 3:26 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rsrv when four letters picked without replacement from {v: 2, r: 2, s: 7}.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46\/147 + -1\/49. Let w = -19.4 - -250.4. Let f = w - 232. Which is the closest to f? (a) -5 (b) h (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*y + 137 = -1195 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 479 + -475. Solve 2*z - 31 = -3*j + 7*z, 5*j = b*z + 30 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -166 by -24.\nAnswer: 83\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j + 13. Let f(a) = -3*a - 13. Let q(l) = -3*f(l) - 4*h(l). Determine q(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23057 (base 10) to base 6.\nAnswer: 254425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 7 = 124202*n - 124204*n, 2*f + 8*n = 42 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -17. Suppose n*s + 12 = 30. Solve -s = 4*w + 7 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*x - 0. Let w(y) = 0*y + 2*y + y - x*y. Let l(d) = -5*d**2. Determine l(w(f)).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*-3)\/((-1312)\/(-656))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 120533083421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 2 = o. Let v be o\/2*-6 + 3. Differentiate 7 + 18*m**3 + v - 15*m**3 with respect to m.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -50418070 + -5?\nAnswer: -50418075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 150 and 2475?\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6955265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10291.48 rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -6. Suppose -3*t = h*k + 2*t + 14, -5*k + 3 = 3*t. Solve -2*y + 6 = p, 6*y = y - k*p + 14 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/45 of a day?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b**2 + 2*b**2 + 4*b**2)*(0*b + 3*b - 5*b) + (-4*b - 2*b + 3*b)*(-b**2 + 0*b**2 - 2*b**2) to the form a*b**3 + g + q*b**2 + t*b and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -1\/4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 76784 + -76784.00126389. Round n to four dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26667 to the power of 1\/2, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - 4 - -16 - 4. Suppose -2*m = -m - x. Let y be (4 - m)*5\/(-15). Which is the third biggest value? (a) -3 (b) y (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704)*2*-4 - (-2 + (sqrt(1100) - (sqrt(1100) + 1))))**2.\nAnswer: -384*sqrt(11) + 45065","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49*w**5 - 38609*w - 2 + 38609*w)*(-1 - 5 + 2).\nAnswer: -196*w**5 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (156\/1560)\/(5\/(-2))\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2998287153 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2473535.639 to the nearest 1000.\nAnswer: 2474000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5*z - 243. Suppose 9*l - z = -2*i + 4*l, 124 = i + 3*l. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 568 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -15 (b) 1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -1 - ((4 - 15) + (11 - (0 + 7)))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s - 1. Let m be ((-2)\/6)\/(10\/(-180)). Suppose -2*o + 4*h - m = 0, 0*o - 3*o - 1 = -2*h. Determine c(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4c + 8ac2c?\nAnswer: 8ac79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b9 + -2d?\nAnswer: 28b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l - 5. Let i be p(9). Let o = 13 - i. Suppose o*q + 20 = 4*q. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -l - 2. Is 1 at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/20)\/((-8)\/120*-9)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 29*k**2 + 2068*k + 6507. Give g(-68).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 20*c + 78. Give t(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.016344339 rounded to 3 dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 56\nAnswer: -3\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002739637659 to 5 dps.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35024 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 4*k**2 + k - 2. Let s(d) = 2*d - 5*d + 3*d + d**2 - 1. What is -q(z) + 4*s(z)?\nAnswer: z**3 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 93.09507 millennia?\nAnswer: 930.9507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -271 + 5?\nAnswer: -268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**3 - 3*d**2 + 4*d - 7. Is f(3) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 + -57 - (19 - 3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 3*g**2\/2 - 108378*g - 48049599\/2 = 0.\nAnswer: -221, 72473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -179976150*m**2*x**3 - 2*m**2 + 48*m*x**2 - 7465*m - 2 wrt x.\nAnswer: -1079856900*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13434*d + d**3 - 2 + 2 - 2*d**2.\nAnswer: d**3 - 2*d**2 - 13434*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 2*l - 1, 19*x - 23*x + 25*l + 13 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 0*v - 4 - 4*v. Let a(x) be the second derivative of x**3\/3 + 3*x**2\/2 - 6*x. Suppose 9*l - 15 = 4*l. Give l*y(w) + 4*a(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f**3 - 2*f**2 - 2*f + 14. Let a(t) = -13*t**3 - 7*t**2 - 7*t + 43. Calculate 2*a(n) - 7*m(n).\nAnswer: 2*n**3 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 7 = -5*j + 22, 4*j - 2*q = 12. Let i = -5 - -4.7. Let n = 5 - 49\/9. What is the nearest to 7 in n, j, i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53139950*i**4 + 32994649*i**2 wrt i.\nAnswer: 1275358800*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -34 and 0.0145?\nAnswer: -0.493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, n: 9}. What is prob of sequence nnn?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4020188 (base 9) in base 10?\nAnswer: -2139047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -90*x**2 + 178*x**2 - 87*x**2. Let c(f) = -593*f**2. What is c(b(j))?\nAnswer: -593*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 s when four letters picked without replacement from {e: 16, s: 2}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 120310132 - 3331?\nAnswer: 120301301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j - 10. Let y be q(-7). Let o(n) = -2*n + 0 + n + 2*n**2 - 2. Let z be o(2). Solve 0 = 3*c - y*b - b + 17, c = -z*b + 17 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 11. Let o(l) = -l**2 - 3*l + 84. Calculate the least common multiple of n and o(7).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 1. Calculate j(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -104043 - -104041.2. Let n = -3 + 3.2. What is the closest to h in n, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 930 and 121689210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2608 take away 0.09419187135?\nAnswer: 2607.90580812865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13250591*k**2 - 6625122*k**2 - 6625468*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 20 = -o. Suppose -o*w = 13 + 19. Let u be 4\/(-10) - w\/20. Solve 6 = 5*y - z, -5*z + u*z = 4*y + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10420 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of 0 + 0*m**3 + 24*m**2 + 0*m**4 + 1\/480*m**6 + 0*m + 1\/240*m**5. Determine t so that x(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.3669 + -0.2.\nAnswer: -5.5669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2 = -1, 0 = -u + 2*k + 77. What is the remainder when u is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 c when three letters picked without replacement from ddddcpec?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-6)\/14*(-329)\/47?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i + 0*i + i + i + 1. Let k be f(3). Suppose -16 = -c - k*n, 0 = n + 2*n + 9. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y + 3. Let t(h) = -1. Let j(p) = m(p) + 3*t(p). Let s(d) = -5*d**2. Give s(j(b)).\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300230?\nAnswer: 2, 5, 7, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = s - 4. Let d be ((-5)\/10)\/((-1)\/s). Let h(y) = 5*y + 1. Let x(a) = -4*a - 1. Let f(u) = d*x(u) - 5*h(u). Differentiate f(j) wrt j.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/7 + 584*i**3\/7 + 4624*i**2\/7 + 9216*i\/7.\nAnswer: i*(i + 4)**2*(i + 576)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 168*l**2*o**5 + 14*l**2*o**3 + 9935*l**2*o + l*o wrt o.\nAnswer: 3360*l**2*o**3 + 84*l**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42909575663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 6:51 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.93 - -0.07. Let z = -10\/3 - -37\/12. What is the closest to f in 1, z, 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.5 - 36.5. Let m be (-14 + (-2212)\/(-154))*8\/(-16). Which is smaller: m or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-180)\/15*1\/(-2). Solve -4*j - 14 = -s + d, j = -4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -236, -0.5, -132\/7, -1\/42?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -488*d*r*z**2 + 79*d*r + 32134*d*z**4 - 297*d - 72*r + 2*z wrt z?\nAnswer: -976*d*r + 385608*d*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 581 and 16600.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + s + 4, 1 = -4*s + 17. Let t be b\/((-9)\/(-27) - 100\/372). Which is smaller: -26 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**3 - 32*p**2 + 14*p - 28. Is a(-17) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 3*q**2 + q - 2. Let f be g(3). Let o be (-37)\/4 + (-1)\/(-4). Let j = f - o. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -8. Suppose f*l - l = -4. Is (-3322)\/(-14) - l\/(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 53*r**2 - 24*r - 538. List the prime factors of o(-46).\nAnswer: 2, 3, 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5d (base 16) to base 9\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/17? (a) 10\/59 (b) -1 (c) -2\/11 (d) 1\/4 (e) 0 (f) 7\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -1) + 3 - 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2286\/(-21) + 3*2\/(-42). Let w = -68 - l. Does 9 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 702306 and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50820923311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -15*n**2. Let k(f) = 1510*f + 9. Give k(x(c)).\nAnswer: -22650*c**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {b: 2, a: 12, v: 3}?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 57.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*r**2*v + 3*r**2 + r*v + 5*r - 345*v - 1 wrt r.\nAnswer: 36*r*v + 6*r + v + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.3898 + -1.4088. Which is the closest to 0.2? (a) o (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11986.\nAnswer: 2, 13, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 2, 2315.\nAnswer: -4, 2, 4, 2315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 - 1 + 1)*(23*g + 4159 + g**2 - 2070 - 2063).\nAnswer: -2*g**5 - 46*g**4 - 52*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 4*l**2 + 77*l + 2. Calculate the lowest common multiple of h(7) and 27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19*p + 20*p - 90199*p**3 + 94431*p**3)*(4*p - 2*p - 4*p) as z*p**3 + g + q*p + v*p**2 + t*p**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-1 + sqrt(76))*3*1)**2 + -4.\nAnswer: -36*sqrt(19) + 689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 856743 to the nearest integer?\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167054 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -916*j**3 + 918*j**3 - 14*j - j.\nAnswer: 2*j**3 - 15*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-80)\/(-45) + (-4)\/(-54)*3. Solve 0 = -a + 2*a - s for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/5*w**3 + 2\/5*w**4 - 2*w - 4\/5 - 6\/5*w**2 = 0. Calculate w.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.146073 rounded to 4 decimal places?\nAnswer: 0.1461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2 + 3*z + 4. Let b(x) = x**2 - 4*x + 2. Let r = 2 + 1. Let c be b(r). Let h(m) = 3*m**2. Let s be h(c). What is j(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 222\/(-36) + 30\/(-36).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 5*x + 559262, 4*o - 5*x - 772650 = -213408. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p**3*s**2 + 1689*p**3 - 1690051*s**5 - 1345*s wrt s?\nAnswer: -4*p**3 - 33801020*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 596 is divided by 293?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m - 3*m - 24 + 6*m + 19. Let i be k(-5). Let l(w) be the second derivative of w**5\/20 + 11*w**4\/12 + 2*w**3 + 9*w**2\/2 + w. What is l(i)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 45396*i**2. Let p(o) = o. What is p(l(a))?\nAnswer: 45396*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + o - l = -3, -2*l - 15 = -5*o. Suppose -o*f - 2*f = 0. Let s = 9 + f. Calculate the greatest common factor of s and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19426 - 51?\nAnswer: -19477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i + 0*i + i + (0*i - 3*i + 2*i)*(3 - 1 - 1) + 4*i + 5*i + 22*i - 2*i + i - i + 5 - 1 + 4141*i - 4134*i to c*i + k and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -242*o**5 - 5*o**4 + 500*o**5 - 244*o**5 + (4*o**3 - 6*o**3 + 4*o**3)*(2*o**2 - 3*o**2 + 4*o**2).\nAnswer: 20*o**5 - 5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (20\/1)\/5 + -5. What is the units digit of z + (-147)\/(-3) + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144 and 1408?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1020 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -98 - -97.485. Let b = 2 - 1.5. Let c = b + a. Round c to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -15, 2*o + 2*n = -0*o. Suppose 532 = o*k - 4*q, -4*k - 3*q = -2*q - 684. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -87*i - 258. Let z be x(-3). Solve -j - z*c = -2, -j + 10 = -3*c + 2 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01455 to three decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355473484.\nAnswer: 2, 2423, 36677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 392 is divided by 52?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9838 + g - 4917 - 4905.\nAnswer: g + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -42483 rounded to the nearest one thousand?\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.14, 0.04, -2, 0.4, 0.2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20318013 + 20318024 - 2*u + 4*u.\nAnswer: 2*u + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130736120 is divided by 617.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11786*j + 11798*j - 23584*j + 4*j**3 + 8*j**3 - j**3.\nAnswer: 11*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 2\/15, -30, 287, -1\/7?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 666, 662, 658, 654?\n\"Answer: -4*n + 670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 9*o**2 - 10*o + 10. Let t be c(8). Let r(f) = f**2 + 3*f - 18. Let i be r(t). Suppose -75 = -i*d - 5*d. Is 15 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -206586 divided by -9.\nAnswer: 22954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 388847\/5 + -77763. Determine h so that a*h**2 + 28\/5*h**3 + 2\/5*h**5 + 18\/5*h + 4\/5 + 12\/5*h**4 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114 divided by 19.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2194229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**2\/7 + 389866*l\/7 + 6631768 = 0.\nAnswer: -119, 195052","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (38 + 1 - -2 - 3) + (-4 - 2) - 3\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(256)*2 - sqrt(16))\/(-4*sqrt(16)\/sqrt(2)).\nAnswer: -7*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 573*q**3 + 761*q**2.\nAnswer: 3438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1249, 1.6, -4\/5, 1, -0.06, -2 in descending order.\nAnswer: 1249, 1.6, 1, -0.06, -4\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -431, 5.26?\nAnswer: 5.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, e: 1, g: 2, l: 4}. What is prob of sequence iilg?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 5*u + 448. Let p = -62 - u. Suppose -a - p*a + 255 = 0. What is the highest common factor of a and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 3*d - 6*d)*(-2*d**2 - d**2 - 2*d**4 + 4*d**4) - 40*d**5 - 24*d**5 + 8*d**5 + (4*d**2 + 2*d**2 - 4*d**2)*(-4*d**3 - 2*d**3 + 4*d**3).\nAnswer: -64*d**5 + 6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 8 + 28 = 0. Let q = -5 - -7. Let s(z) = -z + 2 - 9 - 6*z + 0*z**2 - z**q. Calculate s(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145027 (base 8) to base 4.\nAnswer: 30220113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/10)\/(18\/(-45)). Let q be p + 2*14\/4. Find the third derivative of -358*i**2 - q*i**3 + 222*i**2 + 184*i**2 wrt i.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 - 2)*(-1 + 7 - 2)*(-f**3 + f**2 - f**2) to g*f + i + l*f**2 + x*f**3 and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 - 1928195830*c - 185896957941469445.\nAnswer: -5*(c + 192819583)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -27*i**2 + 1\/6*i**3 + 0*i**4 - 1\/4*i**5 + 0 + 8*i. What is the first derivative of m(b) wrt b?\nAnswer: -15*b**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 206*s + s**4 - 14 + 2*s**4 - 206*s + 2*s**2 + 29 + s**3 to the form a + k*s**4 + f*s**2 + p*s**3 + v*s and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005502 rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3663755 (base 11) to base 13.\nAnswer: 1422154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -25*-89\nAnswer: 2225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, o: 3, z: 3, g: 1}. Give prob of picking 3 o and 1 g.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p + 7. Let i = -5 - 2. Let b be u(i). Solve b*v + o - 2 = -3*v, o = 5*v + 10 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 12*m + 35. Let l be q(-8). Suppose -2*u - d = -17352, -6*d + 26006 = l*u - 10*d. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1675?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.02013 microseconds to nanoseconds.\nAnswer: 24020.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2d4 + -18445?\nAnswer: -18171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 187 = -2*q - m, 0 = -4*m + 20. What is the least common multiple of 12 and q?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 + (103 - (154 - 68))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xxvxvxxvvvvv?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 5*c - c + 24 = 0, n - 14 = 4*c for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j + 4. Let r be k(-7). Let n = r - -10. Let a = n - -4. What is the third smallest value in a, -4, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1391486614?\nAnswer: 2, 7, 23, 617341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -18 (b) -0.2 (c) 0.1 (d) -6 (e) -11 (f) 7\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11222 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4906\/1731 + -1\/1154. Let o = 4940 - 365549\/74. Let j = -1375\/333 - o. Calculate the common denominator of p and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(1\/4)\/d)*d\/(((d\/d**2)\/d)\/d))\/(d**2*(d\/d**(-2\/13)*d)\/d) assuming d is positive.\nAnswer: d**(83\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 5*v. Let w(o) = o**3 - o + 5. Let c be w(0). Let n be f(c). Is 14 a factor of 24 + n*(-2)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*h - 17*h = -14*h + 1672 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2540687*f**2 - 843888*f.\nAnswer: 5081374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2001221201201 + -212?\nAnswer: 2001221200212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-4 - 4) - (1 + 18 + 49)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 98 = 5*g. What is the remainder when 40 is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(-o**2 + 3*o**2 + o**2) + o - o + o**2 + (-4*o**2 + o**2 + o**2)*(-3 + 3 - 2) - 228*o + 228*o - 18*o**2.\nAnswer: -19*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1102 is divided by 12\/44 + (-10615)\/(-121) + 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away -26434?\nAnswer: 26433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -65\/333 + -1\/37. Let x = -0.17 + -0.01. Let k = 0.82 - x. Which is the nearest to 2\/5? (a) j (b) k (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*p + 109*p - 22*p.\nAnswer: 66*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4 + 1631*k**3 + 6536*k**2 + 6540*k.\nAnswer: -k*(k - 1635)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.2164 to two dps.\nAnswer: 4.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1089 and 54?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - n**2 + 6*n + 13. Let f be w(3). Which is the second biggest value? (a) -11 (b) 1 (c) 65\/6 (d) -0.2 (e) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 303928.2 microseconds to hours.\nAnswer: 0.0000844245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 402980.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 17 = 2*t, -5*t + 3*l + 24 = 72. Let p be 4 + t\/((-27)\/78). What is the greatest common factor of 75 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.956 + -4.956. What is the third biggest value in t, 2, -445, 0.3, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -974*p + 970*p = 16. Which is the closest to -2? (a) -0.1 (b) -0.02 (c) 0.5 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 255 and 330.\nAnswer: 84150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57364?\nAnswer: 2, 14341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -2, 1\/20?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30322687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10332.828 + 10287.5280144. Let b = 45.3 + i. What is b rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -308 (base 15) to base 16.\nAnswer: -2ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*s = -31*s - 15274 + 283659. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5 = -29. Let y(l) be the second derivative of -l**3\/2 - l**2\/2 - 9*l. What is y(n)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 640133.77 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/10 - (-48)\/15. Find the second derivative of -c**3 + 9*c**2 - z*c - 9*c**2 wrt c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 222546697\/186 + -1196492. Let d = -68507\/47151 - -2\/1521. Let c = d + t. What is the common denominator of c and -11\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/14 - 0 - (25 - (-8877)\/(-385)).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2950 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -7151*r - 5676. List the prime factors of d(-9).\nAnswer: 3, 31, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 + 99*o - 96.\nAnswer: -3*(o - 32)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14.321082 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.49098 times 0.7?\nAnswer: 1.043686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4680 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 + -1. Let q(t) = -18*t - 4. Let p be q(12). Calculate the remainder when k is divided by 9\/(-12) + p\/(-16).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 586 - 558. Is 27 at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/9 (b) 24 (c) 1\/3 (d) 0.4 (e) -30\/61 (f) 0.3 (g) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/139? (a) 0 (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*b**2 + 28*b**2 - 9*b**2 - b + b + 2*b**2.\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 14\/235031?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/79643 and 41\/438.\nAnswer: 477858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2. Suppose 3*p = -4*d + 21, -6*p = 4*d - 5*p - 23. Let i(h) = h**2 + 2 + 7 - d + 0*h**2 + 14. Calculate i(k(r)).\nAnswer: r**4 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 minus -8601233680?\nAnswer: 8601233680.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1016*v - 1765?\nAnswer: 1016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3085, 3187, 3461, 3991, 4861, 6155, 7957?\nAnswer: 10351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.45517mm in kilometers?\nAnswer: 0.00000545517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2, -9, -36, -85, -162, -273?\n\"Answer: -n**3 - 2*n**2 + 2*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -67 (base 15) to base 13.\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.41974 decades to years.\nAnswer: 744.1974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 - 25) + -25 + 27 + -21.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 7*q + 7. Let c be k(6). Calculate the highest common divisor of c and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 9:20 AM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000028556 rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**3 - 412*h**2 + 251*h + 166 = 0.\nAnswer: -83, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 686 and 57582.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40538982 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -448 - 10?\nAnswer: -458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7372*k**2*w*x + 957*k**2*w - 11*k**2*x + 4569*k*x + 26*k + w*x - 33 wrt w.\nAnswer: -7372*k**2*x + 957*k**2 + x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -17, 172 in increasing order.\nAnswer: -17, -3, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 362*p**2 + 7*p - 7*p - 2*p.\nAnswer: 362*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/3 - 60*n + 750.\nAnswer: 2*(n - 75)*(n - 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3\/7 + 180*j**2\/7 + 512*j\/7 + 48.\nAnswer: 4*(j + 1)*(j + 2)*(j + 42)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**2 + u - 1. Let t be o(1). Let a = 0.53 + -0.5. What is the second smallest value in t, -1\/4, a?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j = -148 - 86 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2124594521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of 347*m**6\/120 + m**5\/60 - m**4\/12 + m**3\/3 - 59*m**2. What are the prime factors of n(1)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -220418945, -440837890, -661256835?\nAnswer: -881675780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50427, -100850, -151273?\nAnswer: -201696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 86 and 172.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73295324.\nAnswer: 2, 3331, 5501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1029*s + 1034*s + 5*v - 45 = 0, 5*s - 6*v + 9 = -1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 493212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0864 and 39.\nAnswer: 3.3696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14341050231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 1 - 9. Suppose -4*x = -8*x - f. Let g be 8\/36 + x\/9. Solve 2*c + 3*c - 5 = g for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 5 + 4 + 3 - 86*c - 10*c as o*c + n and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 + (-119 - -45) + (-50 + 0 - (3 + -2))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 12 + 11 - 41 - 3*g. Let s be n(-6). Solve -j + s*j + 6 = -3*q, -q = -j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167052 is divided by 785?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3439 rounded to two dps?\nAnswer: -2.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1872) + -3 + sqrt(1872) + -2*(0 + sqrt(1872) + sqrt(1872)))*-5)**2.\nAnswer: 6000*sqrt(13) + 187825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2334, 2434, 2702, 3222, 4078, 5354, 7134?\n\"Answer: 14*y**3 + 2*y + 2318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**5\/2 - 5*i**4\/2 + 3*i**3\/2 + 13*i**2\/2 - 4*i - 6 = 0. Calculate i.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19696 or 19703?\nAnswer: 19696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3*sqrt(17)*-2)**2.\nAnswer: 36*sqrt(17) + 621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2470\/3 or 823?\nAnswer: 823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -11. Let l = -5.5 + 5.9. Which is the second biggest value? (a) y (b) -2\/9 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -753*v**3 + 18*v**3 - 3759*v - 1448*v**3 wrt v?\nAnswer: -13098*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10849.004 to zero decimal places.\nAnswer: 10849","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*o**3 + 1\/4*o**5 + 0*o + 1\/2*o**4 + 0 + 0*o**2.\nAnswer: o**4*(o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 6*m**2 - 2*m + 1. Let l be z(1). Let b be (-62)\/(-8) - 2\/(-8). Let h = b + -4. Solve 5*g - l = 3*k, h*g + 0*k = -5*k - 33 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) 0.1 (b) -24765 (c) -2\/45 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d + 2. Let l be q(2). Let k be 3 + -1 - (-10)\/(-15). Sort k, l, -5 in descending order.\nAnswer: k, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 8 = 3*h + 4*w, -2*h + 4 = 4*w. What are the prime factors of (h + -13)*2\/(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 1183072?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (5\/16)\/((-5)\/(-30)) and 73\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n**2 + 40*n + 16. Let d be v(-13). Solve 0*b - 4*q + 4 = 5*b, 5*b + 3 = d*q for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 16?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, -82, 1.8, -5, -0.3, -2\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-42) + 291\/21. Let y be (-1)\/(-2 + j\/8). Suppose -4*u = -2*o + 4, o + 2*o - 6 = y*u. Solve -o*t - 1 = -t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/19))**(3\/20)\/((v**(-32)*v)\/(v**(-5)*v)) assuming v is positive.\nAnswer: v**(10269\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + -874858f?\nAnswer: -8748589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -3*y + 6*t + 2, 3*t + 2 = y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/9 + (-16)\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -287, -767, -2087, -4673, -8951, -15347?\nAnswer: -24287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and 700.\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + -17. Let d(i) = -i**3 + 4*i**2 + 4*i + 11. Let m be d(k). Suppose -n - 3 + m = 0. What is the nearest to 2 in n, -5, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-28)*4 + 1219\/(-280). Let l = -19\/5 - j. What is the smallest value in -2, -4, -2\/9, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 101022 and 124?\nAnswer: 6263364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250034.\nAnswer: 2, 125017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/(-11832)*54)\/(9\/12).\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9990 - 10008. Let n(v) = -3*v**2 - 52*v + 40. Give n(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 29, 123, 217, 311?\n\"Answer: 94*w - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-4)*2*((-2263)\/(-372))\/73\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1100 - 1090. Suppose 4*f - 101 = 19. Calculate the greatest common divisor of f and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 3\/2, 13, 4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.09 + -0.09. Let p = t + -4.000009. Round p to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cm when two letters picked without replacement from {c: 1, m: 1, p: 2, j: 8, n: 6}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27605754.9999966 - -27605747. Let n = f - -8. What is n rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 2*h = 11*x - 14, 2 = 5*x - 2*h. Let d = 4 - 0. Let m(p) = -d + 3 + 4*p - 2. Calculate m(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ukufuhuukhukfuuhf. Give prob of sequence hkhh.\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.17354 millilitres in litres?\nAnswer: 0.04917354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -110020210210222 (base 3) to base 5\nAnswer: -3131330132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(5\/(-4)))\/(8\/(-6))*5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 1 + -1 - (sqrt(2057) + (sqrt(2057) - (sqrt(2057) + -1)))) + ((sqrt(187)*-4)\/sqrt(11) + 5)*-4.\nAnswer: -21 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5.32? (a) 2\/3 (b) 1 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 197.8297 minutes to seconds.\nAnswer: 11869.782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 + 63 = -37*n + 64*n - 32*n, 2*u + n + 18 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 bigger than 3184?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2561769, -10247049, -23055849, -40988169, -64044009, -92223369, -125526249?\nAnswer: -163952649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4.4, -1799, 6?\nAnswer: -1799","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4*j**3 + 3*j**2 - 423*j - 18. Let u(v) = -v**3 - v**2 + 6. Calculate -2*i(q) - 6*u(q).\nAnswer: -2*q**3 + 846*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 152 + -162. List the prime factors of (22074\/g)\/(-3) + 33\/165.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**6*u*u\/u**6*u*u*u**(-3)*u*(u**(-6\/7)\/u)\/u*u*u*(u\/((u**(-5\/3)\/u)\/u))\/(u\/(u\/(u\/u**7)))*(u*u**(-2\/7)*u)**(-2\/101) assuming u is positive.\nAnswer: u**(3568\/303)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.8 - 5.4. What is the third smallest value in -1, x, 1\/2, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 1\/2, 978, -5 in ascending order.\nAnswer: -32, -5, 1\/2, 978","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 953661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c\/c**(-2\/7))\/c))\/c*c)**(-50)\/(c**(2\/5)\/c)**(1\/7)*((c**(-1))**45)**(-19) assuming c is positive.\nAnswer: c**(28678\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 59\/4 of a millennium?\nAnswer: 1475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -103, -185?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3a2 - -220?\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in 0, 1\/4, 1, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -650414999, -1300829999, -1951244999, -2601659999?\n\"Answer: -650415000*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 8 = -2*b. Suppose 1 + 1 = 5*o - 2*d, -o + 10 = b*d. Let y(r) = 2*r - 2*r + 2*r**o. Let n(w) = 4*w**2. Determine y(n(g)).\nAnswer: 32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32*c**2 - 28*c**2 - 4*c**3 + 4*c**5 + 66*c**2 + c wrt c.\nAnswer: 240*c**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 732 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4761 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 14 (b) -4\/9 (c) -1 (d) -40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -848978, -848965, -848948, -848927, -848902, -848873, -848840?\nAnswer: -848803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 b when three letters picked without replacement from {i: 4, b: 3, p: 3, z: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 21016 - 23\nAnswer: 20993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 3*w + 41. Is 3 a factor of b(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -14 (c) 0.071453\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*c + 27*c + 252. Let j = c + 39. What is the remainder when 5 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) -1\/4 (b) -2 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -357*f*k**3 + 1379*f*k*l**3 + 9*f*l**2 - 2*f*l + 3*k**3*l**3 wrt l?\nAnswer: 8274*f*k + 18*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 6*x + 12. Let f(v) = v + 1. Let l(z) = -4*f(z) + i(z). Let s be l(-7). Let d(p) = -p + 1. Let h be d(s). Solve 4*o + 5 = -h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((5*sqrt(209)*2 + sqrt(209))\/sqrt(11) + (4 + sqrt(19) + 1 - (4*1*sqrt(19) - sqrt(19))**2)).\nAnswer: -72*sqrt(19) + 996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n. Suppose -3*k - 28 = -3*l - 4, 0 = 2*k + l + 1. Let b be ((15 - 20)\/(-15))\/(1\/(-3)). Let f(a) = 6*a. Determine b*f(d) + k*x(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 40\/(-48)*-9*(-5)\/150. What is the closest to 8 in -2, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 485, -1, -5, 17 in descending order.\nAnswer: 485, 17, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 294 and 308.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153662328 divided by -10356.\nAnswer: 14838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*l + 2*l + 0*l)*((-8*l - 14*l - 3*l)*(-2*l + 2*l - 2*l**2) + 21*l - 21*l - 9*l**3) to p*l**3 + h*l**2 + f*l**4 + c*l + o and give f.\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-g**2 + 1 - 1)*(5*g - 3*g - 3*g).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/24 and -45\/736.\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 5*k - 46255, -18*k - 27745 = -3*d - 13*k. Does 37 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4527 minus 114.24?\nAnswer: 4412.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 a when two letters picked without replacement from {a: 1, y: 2, f: 2, s: 1, u: 1, l: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 - 0. Let x = 838 - 10897\/13. Sort x, k, -0.2 in decreasing order.\nAnswer: k, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q**2 - 6*q + 11. Let w(t) = t**2 - t + 1. Let h(v) = -k(v) + 5*w(v). Is h(-4) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*g - g. Let u = g - -7. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - m + 5 = 3*s, 0 = s - 5*m + 19. Let c(u) = -3 + 151*u - 73*u - 76*u + 2. Determine c(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*h*k**3 + 2*h*k**2 + 6*k**3 + 865*k**2 wrt k?\nAnswer: 162*h + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11800 to the power of 1\/2, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29)\/(17864\/32)*7.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 159720?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 759, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/22 - (16 + (-13104)\/1188))*60\/(-220).\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -231305 greater than -231304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -349 + 7013\/20. Let b = -121 - -493\/4. Let u = m - b. What is the biggest value in -1, -0.4, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.2 - -2. Let w = 0.3 + t. Let p = -957 + 957.3. Which is the third smallest value? (a) p (b) w (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 0 = 1, 5507*v + 2*q - 18 = 5511*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2)*n**(-1)*n*n*n**(-5)*n\/n**(-1)*n assuming n is positive.\nAnswer: n**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4401605 = 540*y - 539*y, 0 = 3*x - 2*y + 4401590. What is x rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a gram in milligrams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.602 - 5.08. Let v = x + 285.478. Let d = -283.37 + v. Round d to one decimal place.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c - 3*c - 1090*c**2 + 257*c**2.\nAnswer: -833*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2829, 3619, 4425, 5253, 6109, 6999, 7929?\n\"Answer: j**3 + 2*j**2 + 777*j + 2049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 15*u + 20. Let o = -62 + 75. Let p be a(o). Calculate the remainder when (-512)\/(-6) - p\/(-18) is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*b - 16*b = 21*b - 60 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 15*h. Let i be 2\/6 - 268\/12. Let m = -18 - i. What is the tens digit of j(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126\/(-50)*(2*78\/195)\/(24\/(-50))\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6577494691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 7 = -u, 0 = -5*x + 3*u - 17 - 2. Is ((-15)\/(-12))\/(x\/(-40)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232893711 to the power of 1\/2, to the nearest integer?\nAnswer: 35113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**2 - 48*d - 7. Give k(-5).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 + 34. Solve 7*t - y*t = -16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -74.4 + 75.4. What is the biggest value in -5, n, -74?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*i**2 + 3*i**3 - 1 + 14*i**2 + 0*i**3 + i + 13*i**3 - 13*i**4 - 4*i**3 in the form f*i**2 + o*i**3 + j*i + g + p*i**4 and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -99463.\nAnswer: -1\/99463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/7 + 240\/(-448)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**3\/5 - 200*v**2 - 156672*v\/5 + 50429952\/5 = 0.\nAnswer: -576, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + (-462)\/(-10) + (-1)\/5. Let g = k + -48. Let f = 22 + g. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - -1. Suppose 10*r - 162 = 16*r. Let l = p + r. Let h(v) = 2*v**3 + v - 6. Let w(g) = 4*g**3 + 2*g - 11. Give l*h(a) + 6*w(a).\nAnswer: 2*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g - 3*g + 35 - 20. Let u = 1 - -6. Determine j(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (66\/18 - 1)*(3 + 0). Suppose w*g + 12 = -28. Suppose 4*k + 3*o + 4 = o, 3*o + 14 = 2*k. Put 4, k, g in ascending order.\nAnswer: g, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 292 - 490. Let g be r\/30 - -4 - 4\/10. What is the nearest to 0 in 2\/5, -1\/3, g?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/8 + 2644181*q**3\/8 - 2330550284451*q**2\/8 + 684690037067298551*q\/8 + 1369454653097528398.\nAnswer: -(q - 881399)**3*(q + 16)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1200)*-2)\/(-4*sqrt(4)*2) + 4.\nAnswer: 4 + 5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67 - 126 - 29 - 22*b.\nAnswer: -22*b - 222","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and 1171.9.\nAnswer: 1171.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 418.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3.798979 decades?\nAnswer: 455.87748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1485 divided by 99?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -17*d**3 + d**2 + 2. Let a = -24 + 22. What is the units digit of y(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3036 and 19932.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hr when two letters picked without replacement from {h: 2, b: 1, g: 1, r: 2, y: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(660) + sqrt(660)*-1)\/sqrt(12) - ((sqrt(55) - sqrt(440)\/sqrt(128)) + sqrt(55))))\/((sqrt(100)\/sqrt(16))\/(sqrt(5) + 1*sqrt(20) + sqrt(5))).\nAnswer: -70*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 u when two letters picked without replacement from {w: 1, s: 1, g: 1, a: 1, u: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -20, 12, -0.3, 2, -27?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, h: 2, y: 4, l: 9}. What is prob of sequence lyyh?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 10*t + t)*((t**2 - t**2 + t**2)*(3*t - 3*t - t**2) - 9*t**4 + 25*t**4 - t**4).\nAnswer: 168*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 739*w**3 - 40*w**3 - 14*w**3.\nAnswer: 685*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15 - 2) + (-1 - 0). Suppose -s + 5*n + 17 = 0, 3*s - 4*n + 1 = 19. Calculate the greatest common factor of s and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3061, -3061, -3069, -3091, -3133?\n\"Answer: -f**3 + 2*f**2 + f - 3063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -0.015\nAnswer: -0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2 = 0, -2*z + 5 = -5*o - 7*z. Let r(s) = s + o*s**2 + 6*s**2 + 5*s**2. Suppose 3*q - 5*m - 6 = -34, 4*m - 25 = 5*q. What is r(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19921.19 and 0.006.\nAnswer: 119.52714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12001 + -12?\nAnswer: -12020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 9:30 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1902481453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-54))\/((-5)\/(-15))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 59335665757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o**(2\/3)*o)**(-39\/2)\/(o**0)**(-1\/41))**29)**(3\/26) assuming o is positive.\nAnswer: o**(-957\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6409 is divided by 130?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/2, 31548, -1.\nAnswer: -4, -1, 1\/2, 31548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 4*n - 32, -2*n + 4 = -4*n + 2*c. Suppose -n*b + 4*k = 2*b - 190, 114 = 3*b - 3*k. What is the lowest common multiple of 4 and b?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41434623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 87 - 69. What are the prime factors of 16\/(-6)*n\/12 - -263?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 186042 and 3636.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5483 or -5484?\nAnswer: -5483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 306*u + 2092. Let m be n(7). Let p(w) = w - 5. Let t be p(3). Sort m, -34, t.\nAnswer: -34, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25288 and 96.\nAnswer: 303456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 56.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28207206*z**6 + 6*z**3 + 650*z**2 + 413*z + 23?\nAnswer: 3384864720*z**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -11 + 11 + 2*k - k. Let n(v) = 30*v. What is n(t(x))?\nAnswer: 30*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3 + 14 - 4*f + 11*f. Let d be j(-2). What is the nearest to 0.1 in -4, d, 6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 j, and 1 d when three letters picked without replacement from rddupvjv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 5*f - 96, -7*f = k + 2*k - 145. What is the remainder when 2169 is divided by k?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/141 and -143\/2622?\nAnswer: 123234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w - 22*w - 11 + 4*w + 7*w + 26.\nAnswer: -12*w + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.0865 millilitres to litres.\nAnswer: 0.0030865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100020121022112 - 1?\nAnswer: -100020121022120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5\/(-2)*(-4)\/20*4 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 2, 138, -9, 56, 10 in decreasing order.\nAnswer: 138, 56, 10, 4, 2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 5963499.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 195349039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3435360 (base 8) to base 2.\nAnswer: 11100011101011110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6591*t + 812 + 11294*t + 2*t**2 - 5517*t = 0. What is t?\nAnswer: 1, 406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 141099 + -96172. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 - 3 + 3)*((-k + 4*k - k)*(0 + 0 - 2) + 34 - 34 + 18*k + 47*k + 0 - 2 - 185*k + (k + k + 0*k)*(-3 + 4 + 1)).\nAnswer: -120*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 130404876 divided by 147\nAnswer: 887108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*u - 37*u + 32*u = -618 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - -4. Let l = -8 + r. Solve n = -l + 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) 1 (c) 6 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 + 4*p**2 - 4*p**2)*(-162*p**2 - 23948*p + 23948*p).\nAnswer: -162*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 6 = u. Suppose 0 = 2*p - 3*p + a - u, 0 = 5*p - 2*a - 2. Suppose -p*j = j - 24. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1017*i + 48448 = -696*i + 722*i - 2037*i for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110072397, 110072396, 110072395?\nAnswer: 110072394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 162089?\nAnswer: 162089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = d + 4*z, -3*d = -1087*z + 238 - 11102 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*q - 5*q - 6*q**2)*(0*q - 13*q - 9*q) + (2 + 1 - 2)*(2*q**3 + 2*q**3 - 2*q**3) - 10 + 10 - 4*q**3 to the form z*q**3 + a*q**2 + j*q + x and give z.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(130) - -1*sqrt(130))*-4)\/((sqrt(110) - (sqrt(110) - ((sqrt(110) - (sqrt(110) + sqrt(110)*2))*1 + sqrt(110))))\/sqrt(11)).\nAnswer: 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5 - 4.5. Let i = j - -3.6. Let w = -0.25 - i. Round w to two decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3681 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 514919.\nAnswer: 19, 41, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -44 + 3*u + 36 + 8. Suppose -m - 5*x + 21 = 2*m, 2*m - 1 = x. Let w(r) = 5*r**2 + 4*r**2 - 3*r**2 - 3*r**m. What is h(w(l))?\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5 + 1 = 0. Let s(z) = z + 13. Let r be s(-9). Suppose -3*x - 6 = 0, 11 = -r*m - 4*x + 3. Solve m*h + y = 2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y - 5*y - y + 21 + 6*y. Let x(q) = -2*q**2 - 33*q + 108. Calculate the remainder when m(0) is divided by x(-19).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 2*i - 104. Let s = 36 - i. Solve s*b = -2*b - 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -760.409 - -760. Let v = -0.091 + i. Let u = 1.6 + -8.6. Which is the closest to u? (a) -3 (b) -1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3343276 is divided by 41275?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1031*k**4 + 3196*k**3 - 82*k**2 + 330948*k + 2 wrt k.\nAnswer: -24744*k + 19176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 4)\/((-20)\/8). Suppose 0 = 3*b + 25 - 4. Let n(h) = h**3 + 6*h**2 - 7*h. Let r be n(b). Is a bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3\/13, 7, -0.2, 1496\/21.\nAnswer: -1, -3\/13, -0.2, 7, 1496\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 100\/3100*155*16\/(-10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 5*o + 33, -h + 6*h - 40 = 4*o. Let w(a) = a**2 - 5 - h + 7 - 7*a + 1. What is w(9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-25))\/(2\/2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, f: 5, o: 1, z: 1, r: 1}. What is prob of sequence rz?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from devtbtddttttvtbd. Give prob of sequence vdv.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 38194.16 days?\nAnswer: 54999590.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 11*k**2 - k - 13. Let x be l(-11). Let s(q) = -q**3 + 5*q**2 + 7*q - 1. Let i be s(6). Sort x, 0, i in increasing order.\nAnswer: x, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 28143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**3 - 3*h**3 + 4*h**3 - h**3 + 0 + 0 + 3*h**3 - 2*h**3 + 0*h**3 + (2 - 2*h - 2)*(-2*h - 2*h**2 + 2*h) + 5*h**3 + h**3 - 5*h**3)*(-84 - 862 + 203).\nAnswer: -2229*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1*m)**42\/((m**(-3\/22)\/m)\/((m*m\/(m**4\/m)*m*m*m*m)\/m)))**28 assuming m is positive.\nAnswer: m**(26838\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -27 + (-27 - -19)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -7 - 6 - 19*k + 1 + 5*k. Let u be d(9). Let f = u - -261. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**2 + 47*w + 23 = 0.\nAnswer: -23, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7 + -3.8. Suppose -4*n = -3*l - 6 + 26, -4*n + 6*l = 32. Are n and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of 0*k + 0 - 1\/2*k**5 - 10*k**2 + 0*k**4 + 0*k**3. Let h(c) = 8*c + 17*c - 22*c - c. Determine h(r(l)).\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*t**2 - 25*t**2 - 7*t**3 + 44*t**2 + 7*t + 0*t + 2 to g*t**2 + m + h*t + o*t**3 and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 10. Let p = 5 - l. Let z be (p\/1)\/(2\/(-2)). Solve 5 = -3*k + z for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 56*u**2. Let l(d) = d**2. Suppose 28 = -q + 5*k, 2*k = -14*q + 11*q - 152. Give q*l(y) + 2*z(y).\nAnswer: 64*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**3 - 676826*j**2 - 4061028*j = 0.\nAnswer: -6, 0, 338419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*u + 21*u - 876. Let n = -100 + u. Suppose 2 = 2*a - n. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2226, 2225, 2224, 2223?\n\"Answer: -s + 2227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3377.4992 + -16.3792. Let f = l + -3361.0510058. Let k = f + -0.069. Round k to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49.43 - -0.57. Let u = -54.3 + n. Let q = 0.7 - u. What is the nearest to 1 in q, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200311333303 - -1101?\nAnswer: -200311332202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**4\/9 + 16154*n**3\/9 + 25584484*n**2\/9 - 29799074240*n\/9 + 9924491200\/3 = 0.\nAnswer: -4420, 1, 762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*o + 25 = -148*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2b0c60 + -1?\nAnswer: 2b0c5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4641 in 4, -0.25, 0.69, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 0.358489 weeks?\nAnswer: 2.509423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1142 from -259697.29.\nAnswer: -259697.1758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2138 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 17 = -4*m, -19639 = -3*i + 5*m. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3779 - 47410 = -p, -4*s - 4*p = -43628. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by -2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a + 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 155*r**2 - 259*r?\nAnswer: 310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45*17\/(-510)*(-12784)\/(-136)?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1297639511 to the nearest integer?\nAnswer: 36023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43494 by -6.\nAnswer: -7249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1632 - 1623. Solve -14*n = -61 - a for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7537 divided by -5\nAnswer: -7537\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1003*h + 1811.\nAnswer: -1003","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 361002967?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z. Let h(b) = b + 1. Suppose 0 = -5*l + 47 + 49 - 101. Give l*w(a) + 4*h(a).\nAnswer: 2*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -112 + 71. Let g = 115 + k. Suppose -58 = -5*c - d + 39, 0 = 4*c + 2*d - g. Calculate the lowest common multiple of 20 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 435940 less than -48485.3113?\nAnswer: -484425.3113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 7. Let o = 28 + y. What is the greatest common divisor of o and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 8 = 5*k. Suppose -10*o - 2*a = -5*o - 22, 4*a - k = 0. What is the third derivative of 125*s**2 - 7*s**o - 29*s**4 - 86*s**2 wrt s?\nAnswer: -864*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 3, 32, -1 in decreasing order.\nAnswer: 32, 4, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 7) to base 8.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 69.216 - 71.816. Let z = -0.3 + -0.7. Sort z, b, -1\/3 in decreasing order.\nAnswer: -1\/3, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of 62*l**7\/105 - 649*l**3\/6 + l**2 - 99. Differentiate x(q) wrt q.\nAnswer: 496*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 42 - (751 - 788).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-8))\/((11\/2)\/(-11))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.290951 + 0.1.\nAnswer: -0.190951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 - -48. Calculate the smallest common multiple of b and 3.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -6*n - 30, -2*n + 4*t - 4712 + 4696 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r + 1575 = 4*i + 6*r, -2*r + 810 = 2*i. What is the least common multiple of 80 and i?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 225 and 4075?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 156\/2080*(-10)\/6.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of j - 13 - 1\/3*j**3 + 1\/4*j**4 + 0*j**2. What is w(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 5:21 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29.7 + 0.06.\nAnswer: 29.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*c - 62*c + 12*c - 43*c.\nAnswer: -68*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*0.05.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 6*q**2 + 6*q - 3. Let u = -8 - -13. Let z be s(u). What is the nearest to -1\/3 in z, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - g - 12 = 4*u, 2 = -g for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -636 and 2.\nAnswer: -1272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -86*(-4)\/8 - 2.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2584*c**4 + 27178*c**3 + 2*c**2 + 204*c + 21721.\nAnswer: 62016*c + 163068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(-6)\/(-6)*((-1001)\/(-35))\/11?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3375 by 15.\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.929027787 rounded to four decimal places?\nAnswer: -0.929","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n**2 + n - 4. Let f be 2\/(-1 - (-21)\/15). Let j(a) = -a + 4*a**2 + f + 0 + 0*a. Let u(r) = -5*c(r) - 4*j(r). Solve u(y) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14432?\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -1, 2\/9, -255, 4, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.33 (b) 0 (c) 0.5 (d) -887\/3 (e) -5 (f) -0.7 (g) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**6\/120 - l**5\/20 - 7*l**4\/24 + l**3 - 11*l**2 - 3. What is k(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 7*x**2 - 5*x - 7. Calculate the smallest common multiple of -3 + 14 - (-2)\/2 and y(5).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6881674.\nAnswer: 2, 151, 22787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2056 - 1026 - 1028 + 8*s**3 - 2*s**2 - s**4 - 2*s as b*s**3 + f + g*s + v*s**2 + a*s**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82715 is divided by 150.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lplpllp. What is prob of picking 1 l and 2 p?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 49 + 2e8e?\nAnswer: 2ed7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3883 - 5590. Let l = -917 - r. Round l to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1335052657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101220017.\nAnswer: 251, 403267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + 0 + 1\/(-1). Let o(d) be the first derivative of 4*d**3\/3 - 7*d**2\/2 - 2*d - 4. Let q be o(i). What is the highest common divisor of q and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*x + 3 - 5 - 17305*x**3 + 17303*x**3 in the form k*x**3 + w*x + v*x**2 + r and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 2*w - 10, -w - 4*b + 1 + 6 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17614699 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-19)\/(-6) - (3 + 51\/(-18)). Let m(b) = -11 - 3 + b + 19 - 3 - y. What is m(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/135*4*80\/256\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 22 - 18 + 2*d**2 + 61.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2099405788.\nAnswer: 2, 524851447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21873 divided by 3.\nAnswer: -7291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 17*m + 276. What is b(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 6 - (-1 - -3)) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3902 and -48.\nAnswer: -18.7296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v + 3*v - 6*v)*(2*v**2 - 2*v**2 - 3*v**3) - 32*v**4 - 45*v**4 + 61*v**4 to the form u*v**3 + b*v**2 + y + d*v + n*v**4 and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 86921860 a multiple of 1130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-34)*(g**(-4\/17)\/g*g*g)\/g)\/(g**(8\/13)*g*g**(3\/7)) assuming g is positive.\nAnswer: g**(-56124\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7940 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0473409820994 less than 0.4?\nAnswer: -1.6473409820994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -1. Suppose -7*t = -y*t. Solve t = 2*j - 5*j + 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n*n\/n**(-4\/11))*n)**(1\/4) assuming n is positive.\nAnswer: n**(-15\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 7 (b) -1\/4 (c) 508692.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/2 (b) 5 (c) 3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 219216*c**3*f**3 - 148*c**3*f**2 - 2*c**3*f + c**2*f**2 - 9*f wrt f.\nAnswer: 1315296*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 49, 60, 71, 82, 93?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.006 - -54.\nAnswer: 54.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 100\/15*9\/12. What is the closest to 0.1 in 1\/7, -5, y?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02 + 0.98. What is the second biggest value in -2, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/730 and 43\/89015.\nAnswer: 12996190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 + -43. Suppose -2*c - 3*b = q, 12*c - 17*c + 4*b = -9. Let l(o) = -o. What is l(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 11:37 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -195, -523, -1437, -3231, -6199, -10635?\nAnswer: -16833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -956 - -1228. Suppose c*j = 279*j - 21. Suppose 0 = -5*n - 0*n - m + 20, -4*n + 3*m + 16 = 0. Solve 2*p + 4*l = -12, -j*p + n*l = -3 + 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four thirds of a day in minutes?\nAnswer: 35520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 15. Let l(o) = -o + 8. Let y be l(m). Let p(h) = -h**2 + 10*h - 10. Let x be p(y). Solve 0 = 4*u - x*u - 4*f, -2*f = -5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in -18, 3, -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 230, -4, -6, -2, 15, 5 in descending order.\nAnswer: 230, 15, 5, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/5, 2\/29, -1\/2, -2, -27, -3?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/2)\/(w\/w**(2\/23))*(w**(1\/4)*w)**(2\/7))**29 assuming w is positive.\nAnswer: w**(-261\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30020.\nAnswer: 2, 5, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(15\/(-2)))\/(5 + (-126)\/27).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a kilogram in grams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 12) in base 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 568110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 5*z + 222 - 200, 2*v + 3*z = -16 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 - 5*p - 6. Let v be s(9). Factor 180*o**2 - 54 - 93*o**2 - 63*o - 3*o**3 - v*o**2.\nAnswer: -3*(o + 2)*(o + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2367 is divided by 118.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62020*w**5 - 28*w**3 - 2*w**2 + 10789*w - 200.\nAnswer: 1240400*w**3 - 168*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5, 26, 49, 74, 101, 130, 161?\n\"Answer: t**2 + 18*t - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 3*c**2\/2 - 94569*c\/4 + 425439\/4 = 0.\nAnswer: 9\/2, 15757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -718, -3047, -6996, -12571, -19778, -28623, -39112?\nAnswer: -51251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k - 26 - 5 - 4*k. Let g be p(-11). Let v = g - -31. What is the least common multiple of v and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2851, -15, -13 in ascending order.\nAnswer: -15, -13, 2851","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 9*x = 1917. Let w be (-6)\/(-9)*x\/(-6). Is 0 - 2 - (w - (-5 - -3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**2 + 3*f + 4. Calculate the least common multiple of 20 and o(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 810*u**5 + u - 191 wrt u?\nAnswer: 16200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -14. Suppose -5*q = 154 + 46. Let x = 58 + q. What is the remainder when x is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*x + 10 - 210. Let w = 67 - 42. What is the greatest common divisor of x and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(432) - (sqrt(432) + 1 + sqrt(432)*-2)**2 - (2 + (sqrt(432) + -1)**2) - (-1*-4*sqrt(432) + 4*(sqrt(432) + 1))).\nAnswer: -875 - 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*o - 4*s, -5*s + 6 = 4*o - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144003 (base 6) to base 7.\nAnswer: 55212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 5*o, 68 = 3*q + o + o. Calculate the least common multiple of 64 and q.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1562461.\nAnswer: 443, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 - ((11 - -3) + -5 + -2 + -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (-7 + 13) - (-1 - 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 0*q**3 - 14*q - 11*q**2 - 3*q**3 + 27 + 4*q**3. Let w be v(12). Suppose -388 = -4*s - w*y, -89 - 8 = -s + 4*y. Is s a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m**3 - 12*m**2 - 199*m - 798. Determine o(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/8*28\/3 + 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 116. What is the highest common factor of g and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -52) + -55 - (16 - 0).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 126 by 89.\nAnswer: 126\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**2 - 3*r - 5. Suppose -2*g = g - 12. Let k be v(g). Let y = -13 + k. Solve -5*u = -y*u - 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 25833580\nAnswer: 3\/25833580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2 - 7. What is q(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 248.6 or 0?\nAnswer: 248.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2010921, -2010920, -2010919, -2010918?\n\"Answer: f - 2010922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/2*(-1)\/2*(27735 + -27752)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*b**3 - 12510*b**2 + 12515*b = 0. What is b?\nAnswer: -2503, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 17*j - 300. Let v be b(11). Sort -3, -4, v in decreasing order.\nAnswer: v, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 7*a. Let b(m) be the second derivative of 1\/12*m**4 + 3*m + 0*m**2 + 0*m**3 + 0. Calculate l(b(i)).\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z + 6. Let l be q(8). What is the units digit of 1 + (-2)\/l*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 64\/72)\/((-44)\/(-2376))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 119 - 116.13. Let j = b + -0.87. Which is bigger: -3\/7 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -164887, -1319184, -4452265, -10553518, -20612331, -35618092, -56560189?\n\"Answer: -164898*u**3 - 4*u**2 + u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 1 - 13*z**2 + 8 - z**3 - 13*z - 3. Calculate the remainder when 34 is divided by g(-12).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3408049693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11\/2 of a century?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/30 + 24\/180. Let l be 1 + ((-1400)\/(-42))\/(-25). What is the second smallest value in -0.4, 0.5, r, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -258705717830 and 0.2.\nAnswer: -258705717829.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-177)\/(-5192)*44*(-8)\/(-366).\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + -2 - 1)*-3. Solve 2 = l*r - 7 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010101000001 + 0?\nAnswer: -11010101000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3226372?\nAnswer: 2, 41, 103, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8888*s**2 + 62180*s + 252.\nAnswer: -4*(s - 7)*(2222*s + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 5*y + 7. Let r be s(5). Let b be r + (-8)\/2 + 155536964. Suppose -3*a + b = 45736967. Round a to the nearest one million.\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -847402 by -661.\nAnswer: 1282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -58925 (base 10) in base 12?\nAnswer: -2a125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 37995623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 3*r - 15. Is (-11)\/(-55) - 1284\/r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 594 and 1891230.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -14411 bigger than -14456?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 536531731 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*o*s**2 + o*s + 11*s**2 + 135*s wrt s?\nAnswer: 8*o + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u - 11 + 11)*(0*u**2 - 3*u**2 - 111*u + 105*u).\nAnswer: -15*u**3 - 30*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2094 is divided by 60?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*c - 230 = 98 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89\/(4450\/60) + (-99)\/120 + 0.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 403331028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*j - 140 + 46, j - 44 = -5*r. Let v = -29 + j. Differentiate v*s**3 - 2*s**3 - 10*s**3 + 4*s**3 - 13 wrt s.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sggdsggsgooshggg. Give prob of picking 3 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*v - 13 = -40, -3*v = -4*n - 23. Let r = 7051 + -7046. Which is the biggest value? (a) 0 (b) r (c) n (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 3*q - 3 = 3, 2*t = -2*q - 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2492274 is divided by 830751.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4824623*z**5 + 15770590*z**2.\nAnswer: -289477380*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 31401.2 and 5.\nAnswer: 31406.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1631305*u**2 + 5*u + 189*u**3 + 1631305*u**2)*(-4*u**2 - 2*u**2 + 4*u**2) - 3*u**4 + 3*u**4 - 2*u**5.\nAnswer: -380*u**5 - 10*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(190)*2)\/sqrt(10))**2.\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 300321 (base 10) in base 12?\nAnswer: 125969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**5 + 7850*s**4 + 357828*s**3 + 3721536*s**2 - 8937216*s = 0?\nAnswer: -3879, -24, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -619494 equal to -619493?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-17) + 76\/(-68). Let l be ((-4)\/12)\/(q\/204). What is the third derivative of x**2 + l - 11*x**4 - 68 wrt x?\nAnswer: -264*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-884)\/(-51))\/13*10\/(-4)*(-348)\/3190?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 7*x - 11. Let b be i(2). Suppose 1 - 7 = -2*k. Find the third derivative of -19*p**3 + 83*p**2 - 92*p**2 - k*p**b wrt p.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 2:27 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = -12 + 24. Solve 2*d + 2*d + 6 = -5*m, -r*d - 2 = 3*m for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + -1. Let f = y - -0.4. Let v(w) = -w - 6. Let x be v(-9). What is the second biggest value in x, 1, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 + -21.3. Let z = i - 8.8. Sort -1, z, 2, -3\/7 in descending order.\nAnswer: 2, z, -3\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f*f\/(f**(-1\/3)\/f)*f)\/f)**(-9)\/((f**6*f)\/f**(-2\/7)) assuming f is positive.\nAnswer: f**(-387\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.101? (a) 0.1 (b) 2.9 (c) 3\/4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -563 - -563.000367. What is a rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -401 = -1.58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 10*h - 8*h - 3*h. Let b(a) = 2*a**2 + 4 - 4. Give x(b(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, m: 1, l: 4, n: 6, v: 4}. What is prob of picking 2 l and 2 i?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence suqs when four letters picked without replacement from uquqsqsusuuusu.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 307758*v**6 - v**3 - 93287*v**2 - 1 wrt v?\nAnswer: 36930960*v**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3*((-80)\/(-12) - 6)*3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1587*s - 67479 + 2412 = 0 for s.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10120110 or -10120112?\nAnswer: -10120110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 3551\/31297?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -8*y - 128. Let c(a) = 12*a + 192. Let b(s) = 5*c(s) + 8*f(s). Let q be b(-16). Is 1\/97 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189, -340, -483, -618?\nAnswer: -745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12523 is divided by 56.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -538*u + 17. Let b(y) = -180*y + 5. Calculate 7*b(o) - 2*z(o).\nAnswer: -184*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 97? (a) -1\/12 (b) 1\/4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 867 (base 10) in base 3?\nAnswer: 1012010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -z**4\/24 - z**3\/2 - 1300*z**2. Determine q(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 8*q**2 - 7*q + 12. Let s be z(-9). Let a be (-3)\/s + (-2)\/(-4). Solve -p = -6 + a for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 3 + 7*s + 2*s**2 - 14 - 2. Let t be c(-13). Let p = t - 30. Solve 0 = -5*g + g - 3*r + p, -10 = -2*r for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 98*u**3 + 5*u**2 - 58*u + 215. Is m(4) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 20*t**2 - 39*t + 19. Determine o(-22).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17c02 (base 16) in base 15?\nAnswer: -1dc57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46\/5 of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2624333.89 times -2?\nAnswer: -5248667.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 7*y + 3*y)*(-3 + 3 + 2) - 1124*y + 427*y + 1565*y.\nAnswer: 864*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*5\/135)\/((-1)\/4)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 7 + 1 = -p, p = -4*b + 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i = -12*i - 8. Let c(j) = 4*j - 1. Determine c(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + d - 8, -4*s + 8 = 4*d - 2*d. Suppose 2*a - 1682 = -2*h - s*h, 0 = -2*h + 3*a + 829. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 148, 194, 222?\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -412*q + 5244 = 24608 for q.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9*-48)\/((-1)\/(-125)). What is t rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446.9254l in millilitres?\nAnswer: 446925.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-4)*(1 - -1). Let z be ((-12)\/(-4) - 3)\/v. Which is bigger: -3\/5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 33*l**2 + 76*l - 5. What is w(-3)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -308*j - 3 + 4 - 1.\nAnswer: -308*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 21*j - 1426. Let s be w(68). Solve a = 4*h + 10 + 6, -5*a + s*h = -26 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 3.183 rounded to one decimal place?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1395 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-2))\/(63\/(-420))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -15508, -30360, -45226, -60106, -75000, -89908, -104830?\n\"Answer: -7*v**2 - 14831*v - 670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -58054.9 and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 h when four letters picked without replacement from aahhohhhohhoao?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 59999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 83878550486 from 0.1838.\nAnswer: -83878550485.8162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, -18, 0.4, 0.73, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1814009.4 nanoseconds to minutes.\nAnswer: 0.00003023349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 5*i + 15 = 0, i = 13 - 11 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5065*f**3 - 3*f**2 - f - 5. Is n(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**2)\/(q**(-2\/5)*q)*q**(-1\/2)*q*q**(3\/2))\/(((q\/(q*q**(-3\/4)))\/(q**(1\/4)*q))\/(q*q*q**(2\/5)*q*q*q*(q*q**(-1\/10))\/q)) assuming q is positive.\nAnswer: q**(51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -66 + 0*q - 17*q**2 + 65\/4*q**4 - 2\/3*q**3. Find the second derivative of p(v) wrt v.\nAnswer: 390*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of q**2 + 268331*q - 2570069?\nAnswer: 2*q + 268331","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -151558011 by -11.\nAnswer: 13778001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -147 + 93. Let a be (u\/12)\/(1\/(-12)). What is the greatest common factor of 18 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13948?\nAnswer: 2, 11, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2 + 5*x**3 - 2*x + 13*x - 10*x - x**2. Let g be t(-1). Let u be (-2 - -3)*(-1 - g). What is the highest common divisor of u and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**3 + 6*z**2 + 23*z - 20. Let i(k) = k**3 + 2*k**2 + 8*k - 7. What is 17*i(a) - 6*x(a)?\nAnswer: 5*a**3 - 2*a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3667581.\nAnswer: 3, 407509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1544205 by 89.\nAnswer: 1544205\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -q**6\/300 + 11*q**2\/2 - 15*q. Let o(s) be the first derivative of k(s). Solve o(m) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - y - 8. Suppose -y*d + 12*d - 128 = 0. Let p = 36 - d. Solve -w - 6 + p = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**3 + 13*h**2 - 6*h - 2. Let u be (-4)\/10 - (-416)\/65. Let q be i(u). Round q to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.08667402 + 12812\nAnswer: 12813.08667402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 - 31. Let m be (d\/8)\/((-1)\/(-6)). Suppose -4*x = 2*b - 758, -5*b = 7*x - 5*x - 359. What is the highest common divisor of x and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 4710 + 1176 = 0. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32.937 - -0.063. Let r = o + -32.9935. What is r rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104 and 752?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)*-2*1 - (sqrt(104) - sqrt(104)*-2*6))*3)\/((sqrt(24) + sqrt(264)\/(sqrt(33)\/sqrt(3) + sqrt(11)))\/(sqrt(3) + 2*sqrt(3)*3)).\nAnswer: -210*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(475) + 1 + sqrt(475) + 2.\nAnswer: 7 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(700)*5 - (0 + sqrt(700) - sqrt(700))*-5)**2 + -2*(sqrt(49)\/sqrt(112) + 1))*4.\nAnswer: -2*sqrt(7) + 279992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4680 - -51523\/11. Calculate the common denominator of p and -125\/42.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53204529 by 7600647.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m + 358 + 552 = 0. What is the remainder when 117 is divided by m + (6*(-5)\/10 - -1)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of o**4\/4 + o**3 + 2*o**2 + 219*o. Give x(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 270\/(-4)*5740\/(-615)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 3. Suppose 0 = -h*b - 4*i, 5*b = -i + 4*i. Does 6 divide 9\/(-3) + b + 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3)\/r)\/(r\/r**(-15))*(r**(-2\/17)\/r)**39 assuming r is positive.\nAnswer: r**(-1081\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -152.9924 minus 0.2?\nAnswer: -153.1924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.73 + -15.33. Let l = w - -15. Which is the closest to 1? (a) l (b) 0 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10336 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 3 + 15. Let b be -5 + 3 + 33\/i. Suppose b = 2*o - 1. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/6)\/(8\/(-6)). Suppose 0 = 23*v - 0*v - 276. Let w be (-1 - (-20)\/v)*(-3)\/4. Which is the nearest to 0.1? (a) w (b) 2\/9 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2985932 divided by -746483.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47452, 195853, 443188, 789457?\nAnswer: 1234660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11\/317 - -262\/1585. Which is the fifth biggest value? (a) 1\/3 (b) -2\/7 (c) p (d) -197 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 0. Let c = -9143\/2 + 4570. Let d be 0 + 45\/(-10) + 3. What is the closest to c in u, 5\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 11) in base 2?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1373 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1259 is divided by 158.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence flfl when four letters picked without replacement from llffllfo?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 38*m**3\/3 + 10*m**2 + 3517*m - 544. Differentiate r(g) with respect to g.\nAnswer: 76*g + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g + 1 - 1)*(-g - 4*g + g) - 5604*g**2 - 27 + 25 + 5080*g**2 to the form p*g + u*g**2 + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7313 + 15204. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58467587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 378*a**2 - 171*a**2 - 187*a**2. Let g(o) = 13*o. Determine m(g(c)).\nAnswer: 3380*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*t + 85 = 0. Suppose -6*c + 19 + 5 = 0. Let d = t - c. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-39)\/(2106\/252)*(-2)\/(-21). What is the third biggest value in 4, -0.03, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**3 - 5*i**2 + 9*i + 17. Suppose 7 = -5*n + 17. Let u(g) = -g**3 - 3*g**2 + 5*g + 8. Let b(l) = n*h(l) - 5*u(l). What is b(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 - 0.4. Sort 0.3, 5, y.\nAnswer: y, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 3 - 7)*(83*p**3 - 113*p + 113*p).\nAnswer: -1660*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -5179.\nAnswer: -5176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3397374686?\nAnswer: 2, 19, 89404597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*o - 80*o + 50*o - 1.\nAnswer: -142*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -346*j + 118*j = -3986352. Is 9 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 30 - 2*l**2 + 9452*l + 9451*l - 18903*l. Let m(b) = 3*b**2. What is m(d(w))?\nAnswer: 12*w**4 - 360*w**2 + 2700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in 0.1, -3\/25, 3634?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * -1296804.\nAnswer: -9077628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15854*m - 15851*m + 31721*m.\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - (8\/2 - 6). Let c be -11 + -26 + w + -2. Is -34 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(100)\/sqrt(5))\/((sqrt(32)\/sqrt(4))\/sqrt(2)) - (((sqrt(10)*3 + sqrt(10))\/sqrt(2))**2 + 4*sqrt(605)).\nAnswer: -48*sqrt(5) - 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 457960 and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17694563.\nAnswer: 131, 293, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178475?\nAnswer: 5, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3333 less than or equal to 3332?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 - 18. Let q = d - 9. Suppose -q = -c - 2*t, 13 = 5*t + 33. Calculate the remainder when 34 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/93, 0.03, -5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 3, 88, 18, -5, 31 in descending order.\nAnswer: 88, 31, 18, 5, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a second in milliseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 4, 3*r = 5*b - 3*b + 10. Suppose q - r + 0 = 0. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 5*c**2 - 10*c + 10*c + 0*c**2 as x*c**2 + s + k*c and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.136853 and -3.6?\nAnswer: 5.736853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 4 (c) 1\/4 (d) -6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/34596, -0.7, -1\/2, 0.1, -2 in descending order.\nAnswer: 0.1, 1\/34596, -1\/2, -0.7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31 - 15?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1456 = 3*d + d. Let q(g) = -g**2 + 3*g + 4. Let l be q(0). Suppose -d = -l*m - 0*m. Calculate the remainder when m is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189*s + 175*s = -52458. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*p - 10*p + 2496. Suppose 97*m - 93 = p*m. What is the highest common factor of 31 and m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-2 + -14 - -12) - (-2 - -23)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 60401 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*((-15)\/315)\/((-1)\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l - l - 6*l + 36871*l**3 + 282002*l**3.\nAnswer: 318873*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.24? (a) 394.4 (b) 0.4 (c) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 52096496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -11*m + 295. Calculate n(25).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 23 = 23. Let c(y) = y**3 + 5. Let z be c(b). Solve n + 6 = -z*d, 5*n = 3*d - 0*n + 26 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -2 + (18 + -11 - 15) + -9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 141, -3 in decreasing order.\nAnswer: 141, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 11. Let t(a) be the second derivative of 1\/15*a**4 + 2\/5*a**2 + 1\/3*a**3 + 0 + s*a. Factor t(c).\nAnswer: 2*(c + 2)*(2*c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, x: 2}. Give prob of picking 1 x and 1 k.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 167205722?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53691f (base 16) to base 10.\nAnswer: -5466399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 118 - 67. Let r = o - 15. Let c = r - 24. What is the highest common factor of c and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**4\/4 - 5*y**3\/3 - 5*y + 6. Let q(x) be the second derivative of x**4\/12 + x**2\/2 + x. What is 5*q(v) + z(v)?\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/32)\/((-3)\/(-8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30700987783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288815000 is divided by 1099?\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -34*a**3 - 130*a**2 - a - 32. Give u(-4).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)*2 - sqrt(2) - (-2 + 0 + sqrt(2))**2.\nAnswer: -6 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b + 65. What is d(59)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*c + 3598 = 3652 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1910 and -0.0376?\nAnswer: 71.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**3 - 159*m**2 - 1585*m + 2044. Give k(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 241 - (-52 + 14)\/19. What is the highest common divisor of l and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3346 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7558850.697 rounded to the nearest 100000?\nAnswer: 7600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 + 0*a**2 + a**2)*(-1 + 0 - 2) + (-a - 3 + 3)*(-2*a + 2*a - 2*a).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 7*z**2 - 1. Let d(f) = 558*f**2 - 1836*f + 1. Let p(o) = d(o) + v(o). Find the second derivative of p(t) wrt t.\nAnswer: 1130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.305 - -0.325. Put -1\/11, n, 0.4 in descending order.\nAnswer: 0.4, n, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17903 is divided by 3960.\nAnswer: 2063","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 4, -5696, -4, -3 in ascending order.\nAnswer: -5696, -4, -3, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 219 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20030 is divided by 4616?\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1256572621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v. Let i be (-6)\/(-9) + (-28)\/6. Calculate q(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 11\/7 of a week?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*f + f**2 - 1)*((0*f + 0*f + 2*f)*(4*f - 5*f - f) - 11*f + 8*f - 2*f**2 + 7*f).\nAnswer: -6*f**4 - 8*f**3 + 8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 6 = -2*j + 4*x, 9 = 3*j - x for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 91, -2409, 3 in ascending order.\nAnswer: -2409, -1, 3, 5, 91","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Convert 3.750999 centuries to decades.\nAnswer: 37.50999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 q when two letters picked without replacement from qqpxq?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**3 - p**2 - 14*p - 9. Calculate j(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(72) - (1*sqrt(72) - sqrt(72)))\/sqrt(9) + sqrt(8))*-4)\/(-5*-1*sqrt(324)*-3).\nAnswer: 32*sqrt(2)\/135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5115, 10212, 15311, 20412?\n\"Answer: k**2 + 5094*k + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -200433?\nAnswer: 200430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57681 is divided by 506?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 11\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 596 (base 12) to base 9.\nAnswer: 1126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 56627693413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5326967, 10653914, 15980861, 21307808, 26634755?\nAnswer: 31961702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1283096106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50056 and 275308.\nAnswer: 550616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*x - 1379503 + 1380370 for x.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 904*p**4 + 1047*p**3 - 4248261 with respect to p.\nAnswer: 3616*p**3 + 3141*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-78)\/(-10)*(-960)\/576\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*n**2 + n**6 - 7*n**6 + 3*n**2 wrt n?\nAnswer: -720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*y**3 + 115*y**3 - 17*y**2 - 19*y**3.\nAnswer: 208*y**3 - 17*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 40\/6*24\/(-10). Let u be 4\/(-14) + t\/(-7). Let x(y) be the third derivative of y**4\/24 - y**3\/3 - 4*y**2. Determine x(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*k + k**2 - 4*k)*(18424*k - 6375536 + 6375536) as b*k + i*k**3 + d + p*k**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -22bd (base 14) in base 5?\nAnswer: -143142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 5:01 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 15, -f + 17 = -8*i + 3*i. Let d be (-36)\/10*5*(f - 3). Solve -3*u + 5*c + 22 - 6 = 0, -u - d = 3*c for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 50 + 179\/2*m**2 + 13*m. Find the first derivative of a(o) wrt o.\nAnswer: 179","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13921 and 5?\nAnswer: 69605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*l + l, 0 = -5*t - 5*l + 70. Let x(n) be the first derivative of 3 + 5*n**4 - t + 4*n + 14*n. What is the derivative of x(g) wrt g?\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 2*m + m)*(2 - 1 + 0) + (-1 + 1 + 2*m)*(-63 + 123 - 79).\nAnswer: -37*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 126*a*h**2 - 1273888*a - 44*h**2 - 23*h with respect to h.\nAnswer: 252*a*h - 88*h - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 16 = -8*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 10*p**2 + 11*p - 9. Let x be m(-11). Let k = x - -13. Solve k*n = 5*n - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 62*o + 110. What is the lowest common multiple of 2080 and i(15)?\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 319261 (base 10) in base 5?\nAnswer: 40204021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -26811, -214498, -723937, -1716006, -3351583, -5791546, -9196773, -13728142?\n\"Answer: -26813*s**3 + 2*s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 - -31. Which is bigger: -13 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 221622075*o**3 - 225832997565*o**2 + 105099672*o - 12228.\nAnswer: 3*(o - 1019)*(8595*o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**2 + 3*p**2 + 3*p**2)*(-2*p + 3*p - 2*p) + (-6*p**2 + 2*p**2 + 2*p**2)*(1905*p - 2 - 1954*p + 1).\nAnswer: 96*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57446093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 2*l + l**2)*(-2*l - l + l) + 7*l**3 - 3 - 1 + 5 + (3*l - l - 6*l)*(4*l**2 - 2*l**2 - l**2).\nAnswer: l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 566 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.02 - -0.02. Which is the nearest to u? (a) 5 (b) -2 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.01 - -0.11. What is the closest to -1\/2 in o, -1, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((p - p - 3*p)*(3 - 4*p**2 - 3) + p**3 + 0*p**3 - 2*p**3)*(-p - 1 + 1 + (0*p + 6*p - 4*p)*(5 - 4 - 3)).\nAnswer: -55*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3223445 (base 9) in base 10?\nAnswer: -1728095","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(200)*3).\nAnswer: sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 35. Let v = 23.14 - d. Let q = v - 0.54. What is the biggest value in q, -2\/7, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-6)\/(24\/10)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129039124?\nAnswer: 2, 32259781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(2\/3))**(-3\/19)*(s**9\/s)\/(s\/(s**3*s)))**(9\/4) assuming s is positive.\nAnswer: s**(468\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -s**3\/3 - 5*s**2 - 11*s + 4. Let k be m(-5). Factor 48 + 7*g**2 + 5*g**2 + 66*g + k*g.\nAnswer: 4*(g + 6)*(3*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 41399.52us?\nAnswer: 41399520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 3\/5, -0.03, 5, -34?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2 - 13*l**2 - 13*l + 19*l**3 - 8 - 3. Let z(p) = -9*p**3 + 6*p**2 + 6*p + 6. What is 6*d(h) + 13*z(h)?\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 9}. Give prob of sequence zzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 3*i**2 - 2*i. Let y be r(-3). Let b(p) = p**2 - 4*p - 14. Let f be b(y). Let t = 0 - f. Solve c - 11 = -3*v, -v - 3 + 0 = t*c for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 2:04 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 31 = 16. Let u(l) = -l**3 + 6*l**2 - l + 6. Let w be u(6). Solve -i*x - 2*x = w for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-6*((sqrt(19) + (2*sqrt(931) - sqrt(931)) - sqrt(19)) + sqrt(19)))**2 - (sqrt(76) + 5 + -1)).\nAnswer: -6*sqrt(19) + 131316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100111010101111001 + -1?\nAnswer: 11100111010101111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363 = 2*c + 9*t - 84*t, 2*c - 125 = -3*c - 4*t - 75 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/18 and 13\/75.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 3054.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76145 + 29903 = -18*u. What are the prime factors of u?\nAnswer: 7, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -323f0 + db?\nAnswer: -32315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -55314*l**4 - 102*l**2 + 3 wrt l?\nAnswer: -1327536*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 198, 394, 576, 738, 874, 978, 1044, 1066?\nAnswer: 1038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssu when three letters picked without replacement from sussssssususuusuuss.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 - 711*k + 62615. Give c(195).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*o + 599 = -111 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 22)*452\/(-339)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 29*z**2 - 13563*z + 22867. Calculate p(466).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 226 + -138. Calculate the highest common divisor of 8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggggggggwg. Give prob of sequence ggw.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -4*f - a - 62, 2*a - 68 = 4*f. Let r(i) = i + 42. Let n be r(f). Calculate the greatest common divisor of 12 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/6 + g**3\/3 - g**2\/6 - g\/3.\nAnswer: g*(g - 1)*(g + 1)*(g + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -179486 (base 12) in base 2?\nAnswer: -1100100001001100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1585930245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3309537 and 1848183.\nAnswer: 142310091","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wd when two letters picked without replacement from {d: 4, w: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1052445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -30. Let f be 1\/(2\/c)*1. Let w = 1 + f. Solve 3*t + w = -0*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -7*d - 4. Suppose 5*p - 59 + 4 = 0. Solve 5*t = -2*y + 26, -y - p - 2 = -d*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 3297.\nAnswer: 6594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 24*t**2 - 101*t - 44. Let u be r(18). Suppose 5*i = 3*z - 192, 0*i - 2*i + 4*z = 74. Let l = i + u. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 47*r + 3785. Calculate s(42).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62*30\/(-12555)*(-27)\/102.\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(76)*-1 + sqrt(76))\/sqrt(4) - (2 + sqrt(1539)))**2.\nAnswer: 144*sqrt(19) + 6172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1581191479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*r**3 - 92\/3*r**2 + 160*r + 0.\nAnswer: 4*r*(r - 15)*(r - 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.46 + 0.06. Let h = -295\/168 - -1\/24. Let r = h - -29\/21. Which is the closest to r? (a) 0.5 (b) n (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 804 divided by 268\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 430 = 686. Let x = 199 + h. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 9 = x, -3*x = -0 - 12 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10521, -10528, -10535, -10542, -10549, -10556?\n\"Answer: -7*a - 10514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 77 or 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 46 - 710. Is j*3\/24*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2427701355 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0*i + 262 = 0. Find the common denominator of -5\/2 and i\/(-28) - (0 + 1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8061938, 16123847, 24185756, 32247665, 40309574, 48371483?\n\"Answer: 8061909*z + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j - 12. Let r be x(20). Suppose r*i + 28 = i. What are the prime factors of i + (-1 - (-63)\/1)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (12 - (7 - 5 - -4)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1087*o + 43315 + 24727 - 21301 = 0 for o.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -19. What is the third derivative of -2*t**p - 7*t**6 - 3*t**2 + t**6 wrt t?\nAnswer: -720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**4\/3 + 122*k**3\/3 - 125*k**2. Let p be d(-30). Solve 3*n = p*w - 5 - 5, 0 = 5*w + 3*n + 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 308 divided by 4\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2289*z**2 + 4*z - 4. Let c(u) = 2305*u**2 + 5*u - 5. Determine 4*c(d) - 5*l(d).\nAnswer: -2225*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -1. Let k(l) = 3*l**2 + l**2 + l + 3 + 1. What is the remainder when k(g) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**3 + c**2 - 3*c - 2. Let r(f) = 13*f**3 + 3*f**2 - 12*f - 7. Let b(m) = 9*l(m) - 2*r(m). Is b(-3) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43061\/36450 - 1\/729. Find the common denominator of -59\/10 and i.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120307572 divided by -475524?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 18 = -z. Let b be (-12)\/10*(-2385)\/z. Round b to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 - 151 = -1311*s + 1328*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6591 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 1\/6 (c) -1\/375 (d) 0.1 (e) -117\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -13375*p**2\/2 - 6. Let i = -14 + 6. Let r be w(i). What is r rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 881 + -881. Which is the third biggest value? (a) -2.3 (b) -5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**13*a))\/(a**(-1\/5)*a))\/(a**3\/(a**(1\/13)\/a)) assuming a is positive.\nAnswer: a**(-1152\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q**2 - 47*q + 3. What is z(-15)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 13*m - 10. Let h be i(11). Factor 3*d + 90 + 15*d**2 + h*d**3 - 90.\nAnswer: 3*d*(d + 1)*(4*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 37, 35, 13, -35, -115, -233, -395?\n\"Answer: -f**3 - 4*f**2 + 17*f + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1548 and 360.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5328 and 576.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 130 in -6, -2\/5, -2\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1097072 rounded to four decimal places?\nAnswer: -0.1097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -14*b**2 + 4*b + 1. Let j(l) = 29*l**2 - 9*l - 2. Let m(v) = -4*j(v) - 9*z(v). Differentiate m(p) with respect to p.\nAnswer: 20*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3976, -4, 52, -2?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47929 or -1\/4?\nAnswer: 47929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36142072 - 4?\nAnswer: 36142066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d + 2*d - d. Let g(h) = 3*h**2 + h**2 + h**2 - 4*h**2. Calculate x(g(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/8)\/(6\/(-32)). Let t be (-1 - -2) + 7 + m. Solve 20 = -3*v - 3*w - w, v - 2*w = t for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from byybqbcbnqqqqbqqq. Give prob of sequence yyn.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 5, 4, -4, -2 in descending order.\nAnswer: 13, 5, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74, -52920, -4.\nAnswer: -52920, -4, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (6 - 13) - (1 + 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 158 + 30*t**2 + 1800*t + 1\/6*t**3. Let f(d) = 0. Calculate d.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 966 is divided by 3306\/190 - 8\/(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 4619077683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373 is divided by 322?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/10885836 and -47\/60777?\nAnswer: 97972524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 8*u**2 + 9*u - 20. What are the prime factors of c(7)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**3 - 5*p**5 + 3*p**3 + (0*p + 0*p + p**3)*(-p**2 - 5*p**2 + 4*p**2) + (2 - 2 - 1)*(2*p**5 + 0*p + 0*p).\nAnswer: -9*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 219.09, -3, 2\/9, 4, 0 in descending order.\nAnswer: 219.09, 4, 2\/9, 0, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231*g = 237*g - 18. Solve -6 = 4*t - 2*a, g*a + 2*a - 20 = 5*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 7 + 15 = 0. Sort 3, 5, i in descending order.\nAnswer: 5, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -3.9, -2\/3, 0.824 in descending order.\nAnswer: 0.824, -2\/3, -3.9, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61057 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) + 4*sqrt(396)*2)\/(2*sqrt(768)))\/(((sqrt(165)*-1)\/sqrt(5))\/(1*sqrt(396))).\nAnswer: -27*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6026 - 6037. Is 1\/12 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + p**2 + p. Let m(y) = -5*y**3 - 20*y**2 + 38*y + 5. Let q(w) = 4*b(w) - m(w). Does 44 divide q(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -3, -2, 1\/3, -4\/15, 717?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.34 + -1.84. Which is the smallest value? (a) -2\/9 (b) -0.4 (c) 15 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a factor of 518413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 661917936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11\/2, -1\/6, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 6.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3*(sqrt(112) + 0 - sqrt(112))*-6 + 1)**2*6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5472011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (9 - 5) - (-6 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)*-2*-5)\/(sqrt(640)\/sqrt(10)))\/((sqrt(128) - 3*(sqrt(128) - sqrt(128)*-3))*-6).\nAnswer: 5*sqrt(17)\/1056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 1604759\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168841?\nAnswer: 109, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 132999014?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26538 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (8 - 2\/((-30)\/25) - 5).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-116)\/(-14) + (-6)\/21. Let n = -111 + 118. Suppose 10*p - 113 - n = 0. Calculate the highest common factor of p and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29.47 - -30.7. Let u = 297.23 + -297. Let w = u - m. Which is smaller: w or -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 191292 to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -12*d**3 - d**2 - 4. Give o(2).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(315)\/sqrt(5))\/sqrt(9) + sqrt(7))**2 - (-4 + (sqrt(252) - sqrt(28))).\nAnswer: 8*sqrt(7) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -277, -281, -287, -295, -305, -317, -331?\nAnswer: -347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10892992 is divided by 294?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (20\/(-12) + 2)*0. Suppose s = 6*t + 2*t - 8. Let m be ((-5)\/20)\/(t\/(-4)). What is the biggest value in -1\/3, m, -0.6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2 - 9*o + 20. What is a(4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5729259521 to the nearest integer?\nAnswer: 75692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wt when two letters picked without replacement from brbrttabwtrrr?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -521*a - 7. Let y be h(-5). Let f = -1681 + y. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-92)\/3)\/(-28*1\/(-21)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.13, -0.1, 0.3, 4 in ascending order.\nAnswer: -0.1, 0.13, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130338542?\nAnswer: 2, 89, 732239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (-3)\/(-2 + 5). Suppose w + w = -2*b + 10, 2 = y*w. Suppose -18*g = -b*g - 70. Calculate the greatest common factor of g and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 i, and 1 o when four letters picked without replacement from {i: 4, o: 2, l: 4, t: 1}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35368 - 35368.014627. Round b to 3 dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 2\/3 (c) -1 (d) -8618\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5146920 divided by -3060?\nAnswer: 1682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 126 = 5*g. Suppose g = 5*o - 2. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (45\/20)\/((-12)\/(-80)). Suppose -84*f + 89*f - c = 0. Let t(x) = x**2 + 5*x - 2. Determine t(f).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 19. Which is the third biggest value? (a) 0 (b) 1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*v**2 + 0*v**2 + 8*v - 8*v - 1 with respect to v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -g**5\/60 - g**4\/24 + 17*g**3\/2 - 2*g**2 - 272*g. Give f(0).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of i + 0*i**3 - 43\/4*i**4 - 1\/2*i**2 - 20. What is the second derivative of d(b) wrt b?\nAnswer: -258*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -w - 5 + 20, -5*w = -2*j - 51. Suppose w*x - 54 = 2*x. What is the lowest common multiple of x and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174*v - 985520 = -95*v + 75*v. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 8*u + 12. Let o be x(-9). Let h be 11\/(-88) - 188\/(-224). Factor 2\/7 - h*w**2 - 1\/7*w - 2\/7*w**o.\nAnswer: -(w + 1)*(w + 2)*(2*w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(-2 + 3 - 2)*(-4*q**4 - 6*q**4 - q**4).\nAnswer: -22*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-22)\/(-5))\/(4\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 13*v + 148 = -14*v, v = -4. Suppose 16*p - f = 13*p. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 4*n + 0*n - 3*n + (7*n + 11 - 11)*(95 - 23 + 24) as v*n + r and give v.\nAnswer: 673","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/403902 and -5\/18?\nAnswer: 403902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 10*f + 14. Let j be v(-11). Which is the third smallest value? (a) -13 (b) 1\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 20968*h - 1379551. Give f(66).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand n + 4*n + 8*n**5 - 3*n + (-9*n**4 + 21*n**4 + n**4)*(-2 + 3*n + 2).\nAnswer: 47*n**5 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29316 is divided by 107.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89163 + -89165. Let w = -6\/23 - 16\/115. Which is the biggest value? (a) w (b) -0.7 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -75\/4 - -93\/4. Find n, given that s*n**2 + 1\/4*n**4 + 5*n + 2 + 7\/4*n**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2040*f - 7026. Let c(s) = -6119*s + 21103. Let d(k) = 5*c(k) + 16*o(k). Differentiate d(p) with respect to p.\nAnswer: 2045","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 5:18 AM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -f**4\/4 - 5*f**3\/3 + 3*f**2 + 1319. Give l(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 393*x**3 - 1469 wrt x?\nAnswer: 1179*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37415990537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 47642 and -0.9794.\nAnswer: 47641.0206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*r - 480 = 29*r. Does 16 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 2, -4 = -p - 4*x - 0. Suppose -c = 3*f - 8, -2*f + 22 = 4*c - p*c. Suppose -5*o = c*i - 266 + 106, i = 2*o - 70. List the prime factors of o.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170964967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**4\/3 + 1598*l**3\/3 - 771781*l**2\/3 + 32438304*l + 670383324 = 0.\nAnswer: -18, 234, 691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3066987?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -4, 10, -1\/2, 0.2, 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*d*k**4*p**2 + 3*d*k**2*p + 2*d*k*p + 2*k**2*p + 11*k*p + 2*p**2 wrt k.\nAnswer: 216*d*k**2*p**2 + 6*d*p + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38011544 and 6?\nAnswer: 114034632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m + 4. Let d be 12*(3 - (-17)\/(-4)). Let h be (-1)\/3*d\/1. What is z(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1130253813.\nAnswer: 3, 13, 197, 49037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 182\/5 - ((-6)\/(-21) - 20\/(-175)). What is the highest common divisor of m and 522?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*o - 31 - 125 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 499, 13\/4, 0.5, -1\/2, -26.\nAnswer: -26, -1\/2, 0.5, 13\/4, 499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 9*l**2 + 11*l - 7. Let q be f(10). Suppose q*n = -0*n + 282. Factor -11*h - h**5 - 40*h**3 + 32 + 20*h**2 - n*h + 10*h**4 + 25*h + 60*h**2.\nAnswer: -(h - 2)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4430303 (base 6) in base 3?\nAnswer: 102021011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q - 9*q = -2*f - 7961, -q = 2*f + 1605. Is -1592 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -4*o + 40. Let q = o + -6. What is the nearest to 0.3 in 0.2, q, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w**4 - 25*w**3 - 28*w**2 - 5*w - 5. Let c(m) = -2*m**4 + 23*m**3 + 28*m**2 + 7*m + 4. Let z(d) = -5*c(d) - 4*h(d). Suppose z(a) = 0. Calculate a.\nAnswer: -5, -3\/2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -5*u + 30010, 36*y - 41*y = 20. What is the hundreds digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z + 16. Let o be (45\/(-36))\/(2\/(-8)). Suppose o*g - 3*g - 24 = 0. Let h be l(g). Solve h*t = -t - 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1242703\/15 or -82848?\nAnswer: -1242703\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1156, 2281, 3418, 4573, 5752, 6961, 8206?\n\"Answer: x**3 + 1118*x + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 5*j + 2*o - 42, -4*o = -12. Let d(m) = -m - 15. Let t be d(15). Let n = j - t. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 30*g = -35*g + 27, -h = 5*g - 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**2 + 114*o - 910. What is p(6)?\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.800839497 to 2 dps.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-10) - (-36)\/15. Suppose -4 = -2*v - 2*m, -f*v + v - 3 = -4*m. Let l be 3\/3*(-1 + v). Is 1 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -4)*(6 - 9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**2 + 2*t + 5. Let c(r) = 4*r**2 + 3*r + 5. Give 4*c(g) - 6*x(g).\nAnswer: -2*g**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - -17) + (-1 - -8)\/(-7). Solve t*x + 52 = 5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 121 = 3*n - j, -2*n + 70 = -2*j. Let c(g) = -15*g - 196. Let i be c(-14). Suppose 11*a + n = i*a. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -1345352 + 1345352 + 5*q**2. Let a be (-9)\/(-4) + 1\/(-4). Let v(f) = 2*f**a + f**2 - 5*f**2. Calculate v(z(r)).\nAnswer: -50*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 2 (c) 35 (d) -1\/868 (e) -4\/3 (f) -70\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -12056899 - 0.093\nAnswer: -12056899.093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7390050 is divided by 911.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -102791.\nAnswer: 308373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u - 67 + 7 = 120 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*d - 0. Let j be d\/(-2) - (-6)\/1. Suppose -j*z + 2*o + 1 = -4*z, 3 = o. Calculate the greatest common factor of 49 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29372 + -2044.0168?\nAnswer: -31416.0168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380*i + 273*i - 20691 = -3060 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of 1573*x**4\/6 + 1947*x**3\/2 + 4*x**2 - 96*x - 2. What is the derivative of s(d) wrt d?\nAnswer: 6292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1527 - -1527.2. Which is the third smallest value? (a) 2\/9 (b) 7 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42569258393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 146 - 38. Suppose 155*c = 156*c, -3*y + c + 606 = 0. Calculate the remainder when y is divided by w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3*(-304)\/36 + 2)*(11 - 14). Is g greater than 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of 7*c**4\/4 + 85*c**3\/6 + 22*c**2 - 1. What is the smallest common multiple of x(-2) and 481?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7626*p - 7590*p = -180 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and 0.312.\nAnswer: -0.00936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 72\/7 + 26\/(-91). Suppose 0 = 7*w + b*w - 4573. Is (w + -9 + 3)\/(2 - 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7050809.1 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - r + 3*r)*(4389*r - 49*r**3 - 4389*r).\nAnswer: -98*r**4 - 98*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 450855347 - 174*n - 450855347.\nAnswer: -174*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 - 4.6. Let z = 6935 + -6934.7. Which is the biggest value? (a) 0.5 (b) w (c) z (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -129 + 1927\/15. Let s = -77\/60 - y. Let k = -2.2 + 0.2. Which is the biggest value? (a) s (b) k (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 19*l**2 + l. Determine b(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 1 - (0 - (4 - 6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 744*a*f**2 - 6*a*f - 1882366*a + 14*f**2 wrt f?\nAnswer: 1488*a*f - 6*a + 28*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 264676, 264775, 264874, 264973, 265072, 265171?\nAnswer: 265270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**4 + 909*v**3 + 39666*v**2 - 1122840*v - 1161600 = 0. Calculate v.\nAnswer: -242, -80, -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15002)\/67266 + 6\/27. Let t = q - 130741\/67266. Calculate the common denominator of t and (-3)\/4*(-34)\/(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8415)\/(-18))\/17*(-15)\/((-525)\/(-28))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - 3*a. Suppose -6*b + b = a. Let n = -2.2 - -6.2. What is the nearest to b in 0.4, n, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25002 and 756.\nAnswer: 350028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -391.76 to the nearest integer.\nAnswer: -392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 7*y + 10. Let b(m) = -m**3 + 5*m**2 + 6*m - 13. Let r be b(6). What is the tens digit of o(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 136? (a) -0.1 (b) -4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104465, -104290, -104115, -103940, -103765?\nAnswer: -103590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kawkaktfkkiaw. Give prob of sequence tw.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/90 and 97\/268760?\nAnswer: 2418840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 4*n**2 + 15*n - 14. Let t be g(6). Solve -t*j + 6*m - 16 = m, m + 4 = -j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 253, 1005, 2259, 4015, 6273, 9033?\n\"Answer: 251*t**2 - t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 6*r - 1. Let t be n(-5). Suppose -t*h = -h. Let y = 2 + h. Solve 3*f = 7*f + y*v + 6, 0 = 2*f - 3*v + 23 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xzwzwzwwzz. What is prob of picking 1 x, 2 w, and 1 z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 756.1892 kilometers?\nAnswer: 756189200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 + -30. Suppose -5*v = -3*v - 8. Solve j*f - v*f = 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 383, 16\/15 in descending order.\nAnswer: 383, 5, 16\/15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40234*p**6 - p**2 + 21900.\nAnswer: -4828080*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = s - 3, -2*u = -3*u. Suppose -2*h + 2*p = 0, 4*h - 2*h - 3*p = -s. Let b = 15 - h. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (0 + -15 + -1 - (-243 + 240))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1957*g - 31113 - 11941 = 0 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 53*j + 8. Let k(b) = -2*b + 2. Let n(p) = g(p) - 4*k(p). Let a(q) = -6*q. Let w(z) = 7*z. Let o(f) = -6*a(f) - 5*w(f). Give o(n(c)).\nAnswer: 61*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppgg when four letters picked without replacement from pppppppppgg?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 242*k**4 - 8*k**3 - 39*k + 12. Let s(c) = 485*c**4 - 15*c**3 - 75*c + 22. Let n(v) = 11*o(v) - 6*s(v). Find the second derivative of n(f) wrt f.\nAnswer: -2976*f**2 + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13\/15739 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005318358 to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 0.4, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a. Let n(j) = -57*j**2 - 4674*j. Give n(m(t)).\nAnswer: -228*t**2 + 9348*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/4 (b) 12332\/7 (c) 109\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -721 greater than or equal to -721?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-634)\/14 + 8\/28. List the prime factors of (4 + s\/12)\/((-6)\/(-27672)).\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 23*h**2 + 13*h - 64. List the prime factors of f(21).\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 235 - 81 - 76 - 78 - 4499*u to the form t*u + l and give t.\nAnswer: -4499","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 638101 and 2620.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -175 - -120404?\nAnswer: 12024b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 547403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -x**4\/24 - 13*x**3\/6 - 8*x**2. Suppose 0 = -c - 3*c - 24. Let y be g(c). Which is bigger: y or -20\/3?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8341788612054027\/104995 - 79449389134. Let q = -6\/1909 + s. Find the common denominator of q and -23\/33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from qffffffffqqffbf?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrnfnrrf. Give prob of sequence fr.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(12\/11)*(x*x**14)\/x)\/(x\/x**(-1\/2))**(-10) assuming x is positive.\nAnswer: x**(342\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and 54564382?\nAnswer: 54564382.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.06 - -6.94. Let w = 11 - x. Let i be 66\/(-24) + 2\/1. Which is the second biggest value? (a) -2\/15 (b) w (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q\/(q*q**(2\/25)))\/q)*q**(-15))\/(q**(-4\/7)*q\/(q**(3\/13)\/q)) assuming q is positive.\nAnswer: q**(-32118\/2275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 252 = 2*u, -2*u + 94 = 4*m - 158. Let o(c) = -c**2 - 79*c + 2364. Let v be o(-102). Calculate the highest common factor of u and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*y**4 - y**4 + 0*y**4)*(0 + 2 - 4) + 2*y**4 - 3*y**4 - y**4)*(4 + 0 - 3) as w*y + i*y**2 + g + p*y**4 + u*y**3 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1363913 is divided by 8023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-13)\/(-65) + (-2 - (-56)\/20) + 17862?\nAnswer: 17863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1230.\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hthtttptaptpaatpt. Give prob of picking 2 a.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - q. Let k = -2 - 0. Let h = k + 1.9. Is q at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i**3 + 2*i**2 + i. Let g be ((-6)\/(-10))\/(5\/25). Let j be 2\/g*-3 - 0. Does 13 divide d(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2 - 4 - 3. Let k(l) = l - 4. Suppose -2671 = 69*j - 2947. Calculate j*w(c) - 5*k(c).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7c02 - -2?\nAnswer: -7c00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -2\/7, 2344, 54, 1\/3, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - 213\/(-21) - 25\/175. Let q be ((-4)\/w)\/(4\/353600). Round q to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2499 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 20 = -2*q. Let s(d) = d + 7. Let i be s(q). Suppose 29*g - 30 = 26*g. What is the highest common divisor of i and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/567 and 97\/168.\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(-5)*5\/50. Let i = k + 3\/10. Suppose -55 = 4*x - 9*x. What is the closest to i in x, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2048 and 832.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 4. Suppose -d*c = -0 + 4. Let k = 10 + c. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2084*w + 1059*w + 1025*w + 4*w**3 - 31*w**3.\nAnswer: -27*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 6:59 PM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1053759\/357220 + 2\/17861. Find the common denominator of 103\/80 and g.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1351507177 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6430 - 1670 = -3*c. What is c rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*s**5 + 34*s**2 + 256*s + 5.\nAnswer: -480*s**3 + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27420.71 * -4.\nAnswer: 109682.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - n + 9 + 15, -p - n = -12. Solve 19*t - p*t**2 - 16 - 5*t**3 - 43*t + 3*t**3 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l**4 - 10*l**4 - 11*l**4)*(l + 4*l - 4*l).\nAnswer: -16*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 - -0.7. Let g = 1877\/4 - 9361\/20. Let j be 1 + -3 - (-8)\/(-2). Which is the second biggest value? (a) j (b) g (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 + 29. Suppose -h*d + 5 = -1. What is the closest to d in 5, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13294832 divided by -87466?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 294\/11 + -2025\/77. What is the third biggest value in b, -0.2, 22, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35298 + 35538. Solve 77*q = c + 145 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 38099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 18, 1.1 in increasing order.\nAnswer: -0.2, 1.1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c + 53. Let n be k(-10). Let x(l) be the second derivative of 4\/3*l**n + 0 - 1\/3*l**4 + 0*l**2 - l - 1\/5*l**5. Let x(s) = 0. Calculate s.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/648711 and -91\/36.\nAnswer: 2594844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*t + 47 = 0, -121*n + 80 = -119*n - 5*t. Factor 15\/2*s + n + 5\/2*s**2.\nAnswer: 5*(s + 1)*(s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + ((-3 - -5) + 6 - -8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -16639, -23871, -31111, -38359, -45615, -52879, -60151?\n\"Answer: -4*q**2 - 7220*q - 9415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*n + 7*n + 56800 = 0. List the prime factors of n.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {l: 10, s: 2}?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*w - 2*w - 3*w + (1 + 0 - 3)*(4*w - 2*w - w) in the form q + l*w and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(((-10)\/(-15))\/(12*17\/102))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*j**3 + 125*j**3 + 7*j - 7*j.\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) 1 (c) 61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13719 and 15?\nAnswer: 68595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 37407 divided by -3\nAnswer: -12469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11280939097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 15499233.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -5*m**2 - 3*m - 1. Suppose 16*f - 63 = -v + 20*f, 0 = 4*v + 3*f - 157. Let l be (-3)\/((-58)\/(-30) - 2). Let t = v - l. What is j(t)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + j = 151, j + 3*j + 8 = 0. Suppose 332 = m*q - 47*q. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - ((12 - 8) + -15)) + -6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 12) to base 9\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 62*m**3 - 5*m**2 + 10. Let w(i) = -31*i**3 + 2*i**2 - 4. Give -2*f(r) - 5*w(r).\nAnswer: 31*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 8*i**2 - 9*i + 7. Let m(z) = z**2 - 5*z - 3. Let x be m(4). Calculate the remainder when 40 is divided by b(x).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -720 (base 9) to base 5.\nAnswer: -4320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011110010101 (base 2) in base 16?\nAnswer: -2795","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -727 - -731. Suppose -20 = -3*w + 13. Solve -4*p - w*p = -g*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -24 - 60 - 45 - 50*g - 47 + 219. Let h be ((-4)\/3)\/((-4)\/(-42)). Is y(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 72\/9 - 22\/33*1026\/84. Which is the nearest to -0.1? (a) 0 (b) 3 (c) -18 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/292 or 1?\nAnswer: 5\/292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/6? (a) 2 (b) -11 (c) 29 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15710615 rounded to the nearest one hundred thousand?\nAnswer: 15700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -336215216*z**3 - 1861*z + 22490.\nAnswer: -2017291296*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 + 225*l - 9421. Let g be k(-145). Suppose 22 - 6 = -4*b. Sort b, g, 3 in increasing order.\nAnswer: b, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -266375 (base 13) to base 12.\nAnswer: -388a75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 45*y**2 + 120*y + 27. Let r(m) = -5*m**2 + 3 - 5*m**2 - 30*m - m**2 - 10. Let b(u) = 2*p(u) + 9*r(u). Suppose b(a) = 0. What is a?\nAnswer: -3, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 294 or 909726\/3107?\nAnswer: 909726\/3107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c**4 - 16*c**3 + 23*c**2 - 8*c + 3. Let t(x) = x**2 + 1. Let w(l) = -n(l) + 3*t(l). What is z in w(z) = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 2*k + 1. Suppose 2*f + 1 = -15. Suppose 7*g = 3*g - 16. Let d be (-12)\/f*g\/6. Calculate y(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + h - h)*(h**2 + h**2 + h**2) + (0*h + 2*h - 4*h)*(2*h - 2*h + 6*h**2) + 2 - 3*h**3 - 2.\nAnswer: -18*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -6*m**3 + 5*m**2 + 14. Let w(y) = y**3 - y**2 - 1. Let b be (176\/(-16) - -5) + 7. What is b*q(c) + 5*w(c)?\nAnswer: -c**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 209 + -208 + 24 + -2 + -17.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - 0. Let x = 71 + -70.63. Let r = 0.17 - x. Sort 0.2, h, r.\nAnswer: h, r, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.4 (b) -0.2 (c) -0.115 (d) 1\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 - 31. Let v = -40 + 51. Let c = -9 + v. What is the least common multiple of c and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.26 - -2.1. Let c = b - 0.06. Let p = c - -0.276. What is p rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**1)\/s*s)\/s*s**(-7)*s)**3 assuming s is positive.\nAnswer: s**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d + 1123 + 825 + 8*d - 9*d in the form i*d + w and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 459396 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 4:55 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 518 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.13 - 1.87. Let y = b - -2.002. Let n = 0.002037 - y. What is n rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 72*d + 922. Is m(21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 179\/144690 and 167\/206700?\nAnswer: 1446900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 9:47 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/15 (b) 14 (c) -0.024 (d) -7 (e) -3 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35\/9640438 or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43*-5.\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 20 = -t. Let d = 3052 + -27509\/9. Let p = 13\/3 + d. Which is the nearest to -2\/19? (a) 4 (b) p (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1127787?\nAnswer: 3, 41, 53, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7820.066 decades?\nAnswer: 782.0066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five eighths of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o - 19. Let y be j(13). Let w(z) = -z**2 + 5*z + 8. Let t be w(6). Let u = y + t. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 2*v**2 + 3*v - 1. Let h be b(3). Let s be 44\/11 - (h + 5). Sort 4, s, 1 in ascending order.\nAnswer: s, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 986\/5, -276\/41?\nAnswer: -276\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -3*m**5\/5 - 7*m**4\/6 + 21*m. Find the third derivative of z(b) wrt b.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/570 and (39\/120)\/(10\/(3 + -8)).\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of c**2\/2 - 4*c + 1. Let m(i) be the third derivative of i**4\/8 - 3*i**3\/2 + 3*i**2. What is -2*m(v) + 5*t(v)?\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.5571 centimeters in meters?\nAnswer: 0.395571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t - 12. Let s(r) = 2*r - 6. Let l(x) = -3*q(x) + 5*s(x). Let c(i) = -6*i + 17. Suppose -3*g - 12 = -g. Give g*c(m) + 17*l(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302830*a + 3694 = 302701*a + 15949 for a.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.7 - -1.7. What is the smallest value in 1\/7, -1, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ljhl when four letters picked without replacement from {j: 2, l: 2, h: 10}.\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1185 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110 and 2695.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 525294 divided by 9?\nAnswer: 58366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1762 and 0.14878671.\nAnswer: -1761.85121329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*p - 1 + 8 - 90*p + 4.\nAnswer: -68*p + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5*w**3 + 5*w**2 - 7*w - 5. Let t = 18 + -4. Let u(y) = -2*y**3 + 2*y**2 - 3*y - 2. Give t*u(v) - 6*m(v).\nAnswer: 2*v**3 - 2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 + -43. Suppose -3*a + z*w + 37 = 0, 3*a - 2 = -w - 4*w. Is -3 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.195 or 78078?\nAnswer: 0.195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 53*i**3 - 3 + 31*i**3 + 1.\nAnswer: -22*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 78*l + 484. Determine f(12).\nAnswer: -596","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -3005*y**3\/3 + 1457*y**2\/2 + 918*y - 2. Differentiate q(s) wrt s.\nAnswer: -6010","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + t**2 - t + 1. Let j(r) = 50*r**3 - 2*r**2 + 2*r - 2. Calculate -j(c) - 2*v(c).\nAnswer: -52*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 2)\/(-1) - (6 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3035*b - 24418 + 62642 = -92281 for b.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 25, 4*w = 2*q + w - 83. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20520 - 0?\nAnswer: -20520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 9 = -9*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/5)\/h)\/((h**(-27)\/h)\/h))**(-4\/35) assuming h is positive.\nAnswer: h**(-564\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4666, 5433, 6758, 8647, 11106, 14141, 17758, 21963?\n\"Answer: w**3 + 273*w**2 - 59*w + 4451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 440*l + 440*l - 16*l**2 - 3 + 2*l**3 in the form o*l + b + x*l**3 + i*l**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 9*h**2 + 7*h - 3. Let u be 21*((-2)\/(-3))\/2. Let r(p) = -8365*p**2 + 16706*p**2 - 8328*p**2 - 1 - 3 + 10*p. Calculate u*i(v) - 5*r(v).\nAnswer: -2*v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -1046*c + 5067. Let v be p(6). Is v equal to -1204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1664\/(-24128) + (-4431)\/87.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -35 - ((-25 - (-7 - -10)) + 15)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, 5\/3, 20, -3\/2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of u**7\/6720 - u**6\/480 + u**5\/80 - u**4\/12 - 5*u**2. Let h(r) be the second derivative of o(r). Factor h(z).\nAnswer: 3*(z - 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 9, k: 11}. What is prob of sequence kkkk?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 13*z - 10. Let w(b) = 3*b - 2. Let k(n) = -2*m(n) + 11*w(n). Is k(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**0*a)\/((a**0\/a)\/a*a))\/((a\/(a*a*(a\/a**1*a)\/a))\/a)**(-1\/6))\/((a**4*a**0)\/(a**6\/(a\/(a*a**0)))) assuming a is positive.\nAnswer: a**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 3. Suppose d + 2*w = 19, 0 = -2*d - c*d + w + 31. Suppose -d = 3*p, 4*v - 20 = -4*p + 24. Calculate the remainder when v is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + g**2 + 4*g + 2. Let n(t) = 2*t**3 + 5*t + 2. Let v(z) = 6*k(z) - 5*n(z). Let i(c) = -7*c**3 + 11*c**2 - 2*c + 3. Determine -6*i(b) + 11*v(b).\nAnswer: -2*b**3 + b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 118917?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7023, -13955, -20887, -27819, -34751?\n\"Answer: -6932*z - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000038614805 to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -2 (c) -147031\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1731?\nAnswer: 3, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**10*m*m**(-3\/8))\/(((m*m**(-9)*m*m*m*m)\/m)\/(m*m\/m**4)) assuming m is positive.\nAnswer: m**(109\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2. Let n = -575\/24 + 24. Let x(c) be the third derivative of -c**2 - n*c**4 + 0*c**3 + 0 + 0*c. Calculate q(x(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.24 + -0.14. Let q be ((48\/105)\/(-4))\/((-14)\/(-35)). Which is the fourth biggest value? (a) q (b) u (c) -5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1102 - -780. Let p = x + 321.9726. What is p rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 443215 + -21?\nAnswer: 443154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.890085 seconds?\nAnswer: 890085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -46*b**2 + 139*b - 3. Let n be k(3). Solve n = -12*m + 9*m + 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -7*w**3 - 9*w**2 + 16*w + 7. Let r(s) = -s + 13. Let a be r(8). Let h(k) = -3*k**3 - 5*k**2 + 8*k + 4. Let t(g) = a*h(g) - 2*p(g). Calculate t(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2054046 + -1451?\nAnswer: 2052265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -271, -566, -887, -1246, -1655, -2126, -2671?\n\"Answer: -2*i**3 - i**2 - 278*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 8*p + 18. Let w be r(8). Let n be 3\/(w\/(-15))*-2. Solve n*z + 15 = 2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -692 - -467. Suppose 0 = 5*d + 5 - 15. What is the common denominator of 1\/d + l\/20 and 53\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {q: 1, e: 3, p: 1, s: 4, w: 4}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5*o - 330 = 0, -2*o - 197 = -3*r + 2*o. Let u be 295*12*3*12\/(-270). Let w = -449 - u. What is the remainder when r is divided by w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 2*o - 5848, -5*o = -2*k - 0*o + 5857. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 5*b**3 - 4*b - 3. Let j be t(-2). Let o be (222\/111)\/((-2)\/34). Let g = o - j. Is -3\/29 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*n + 10*n**3 - 11*n + (-n**2 + 0*n**2 - n**2)*(0*n + 0*n + 2*n) - 4*n**3 + n**3 + 2*n**3 + 4 - 2*n**3 - 4 + 7*n**2.\nAnswer: 3*n**3 + 7*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 326.6619 - 1.01.\nAnswer: 325.6519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3 - 22 = -2*w, 0 = -4*x - 4*w + 20. Suppose -2*j = -1 - x. Suppose 4*o - 9 = j*p, 6 = 2*p - 4*p. Are o and 4\/9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 - (11 + -21) - (3 + 2 - 14).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 20 + 140 = 0. Let q = -20 + i. Let n = 9 + q. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16780*j**4 + 60*j**2 + 7747785?\nAnswer: -67120*j**3 + 120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1720.9 minus 2?\nAnswer: -1722.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 + f**2 - 6*f**2 + 0*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x**4 - 136848*x**3 + 3153372*x**2 - 22257488*x + 49809408 = 0.\nAnswer: -8576, 11\/2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 70 = 3*l + 2*f, 0 = 5*l + f - 112. Let z = -13 + l. Solve -3*t - z = -0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/112 + (-5)\/(160\/28). Let x(l) = -l - 1. Let c(s) = -s + 1. Calculate h*x(p) - 2*c(p).\nAnswer: 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -265, -240, -207, -172, -141, -120, -115?\n\"Answer: -d**3 + 10*d**2 + 2*d - 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2718582709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of a**3 + 31. Let g(w) be the second derivative of -17*w**3\/6 + 4*w. What is h(g(f))?\nAnswer: 867*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 512425 (base 8) to base 4.\nAnswer: 221110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 1094056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 10:46 PM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - -28. Let l = 12 - h. Is l less than -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**3 + 4*k**3 + 23*k**4 + 3865*k - 4*k**3 + 262*k**5 + 4*k**3 - 265*k**5 wrt k.\nAnswer: -60*k**3 + 276*k**2 + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -3*c - 26, 2*p = 4*c + 3*p + 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 565045 is divided by 13027.\nAnswer: 4884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-50)\/15)\/((-1)\/(78\/(-4))). Let d = 80 + q. Calculate the lowest common multiple of 167\/5 + (-1 - (-12)\/20) and d.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m - 7. Let v be l(-5). Let h(j) = -j**3 - j**2 - 1. Let d(a) = 3*a**3 + 6*a**2 + a + 2. Let b(c) = d(c) + 4*h(c). What is the tens digit of b(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*l + 50 = 0, 3*v - 111 + 9 = 3*l. Let d = -23 + v. Let b be -11 + d + (-16)\/(-2). Solve -6 = b*r - 2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 86 = -b. What are the prime factors of 2\/(-2) + (b - 6)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-49 - -29) + 10 - 7?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.5 + 5.5. What is the second smallest value in -1.3, -5, z?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1397 - 1399. What is the nearest to 6 in 2, p, 1, 11\/2?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 12 - 16 + 3. Suppose -b - 1 = -0*j - 2*j, 3*j - 5*b = -2. Let o(x) = -6. Let w(d) = j*o(d) - 5*u(d). Let r(q) = -q - 6. Give -r(v) + 5*w(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1026847 to the power of 1\/2, to the nearest integer?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 10:24 PM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -3 + 11 + (-11 - (-11 + 40 - 2))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -39.3834 to 1 decimal place.\nAnswer: -39.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 9*i + 4 + i - 6*i + i**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -4. What is the smallest common multiple of ((-4)\/10)\/((-3228)\/(-360) + -9) and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 1, -2, -0.5, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 171837.2 grams?\nAnswer: 0.1718372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -271, -646, -1179, -1870?\nAnswer: -2719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(30)\/(sqrt(6)*-1).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*a + 14*a + 36. List the prime factors of ((-13)\/2 - -5)*a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249641669.\nAnswer: 249641669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1834 times 7?\nAnswer: 12838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 0 - 2)*(-132*z**2 + 3*z**2 - 36*z**2) + 2*z**2 + 11*z - 11*z in the form j*z + i + f*z**2 and give f.\nAnswer: -658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -106 + 105. What is the second smallest value in p, -3, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 0. Suppose 4 = 2*x - 4. Factor m*g**3 + 10*g + x*g + 2*g - 8 - 10*g**2.\nAnswer: 2*(g - 2)**2*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 761 + 2253*b + 672 - 37 - 2255*b + 934 - 221.\nAnswer: -2*b + 2109","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express u**2 + 2*u**2 - 2*u**2 + (3 - 4 + 3)*(-u**2 - 3 + 3) + 19*u**2 - 1720*u**2 + 892*u**2 in the form r + d*u**2 + o*u and give d.\nAnswer: -810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*l + 45*l + 700 = 0 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 22 + 0)*(50 - 31 - 27)*(-7*p + 10*p + 10*p) in the form y + r*p and give r.\nAnswer: -2080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -136 + 22*y + 130 - 21*y. Let n(t) = 3*t - 12. Determine -9*h(x) + 4*n(x).\nAnswer: 3*x + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -913.64 * 0.61.\nAnswer: -557.3204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 434228573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40490, 40486, 40482, 40478?\nAnswer: 40474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n. Let x(k) = 5*k + 4. Let d(h) = -6*v(h) - x(h). Let a be d(9). Solve -g + 0 = 4*w - 9, a*g + 6 = -3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xumhhhxmgmxxmxmgmx. What is prob of sequence xhxx?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*i + 4. List the prime factors of ((-28)\/i)\/(4\/(-6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n + 8*n - n + 7*n in the form g*n + l and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 10*l**2 - 15*l + 14. Let r be o(-8). Suppose 0 = -5*h + r*h - 20. Determine n so that -h*n**2 + 31 + 36 + 15*n - 67 + 5*n**3 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346802 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 e when three letters picked without replacement from eweesewwwe?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1443 + 152707.63.\nAnswer: 151264.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 52.2945 and 0.215378?\nAnswer: 52.079122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2361815?\nAnswer: 5, 71, 6653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/6 - 8\/24. Suppose 3*i - 42 = 3*y, -v*i + 5*y + 37 = -0*i. Suppose -3 = u - i. What is the remainder when 23 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/5))**(-37)\/((i*i*i**7\/i*i)\/((i**(-1\/7)*i*i)\/i)))\/((i**(1\/4))**(-46)\/(i*i**(-1)\/i)**(-40)) assuming i is positive.\nAnswer: i**(1999\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*w + 202 = -94 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 0.1 (c) 412 (d) 3\/7 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -9*v**4\/4 - v + 3. Suppose -39*n + 5 = -34*n. Calculate o(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 158 - 161. Which is greater: t or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o - o - 4*o + 2*o. Let r be x(-6). Suppose 0 = -5*n - 4*h + 327, 191 = -3*n + r*n + 5*h. Does 19 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}