diff --git "a/data/dm_maths/full_data/8834_11255.jsonl" "b/data/dm_maths/full_data/8834_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/8834_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify (t*t**(3\/17))**(8\/5) assuming t is positive.\nAnswer: t**(32\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q = 93959 - 555456 - 22700. What is q rounded to the nearest 100?\nAnswer: 23100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 59326 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, m: 1, p: 1, q: 1}. What is prob of picking 3 m and 1 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/13 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -0.5, 4, -4 in increasing order.\nAnswer: -4, -0.5, -1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8672918281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 g when two letters picked without replacement from {f: 4, c: 1, y: 2, g: 1, b: 8}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.52 - 6.42. Suppose -4*k - 7 = k + a, -a = -2*k. What is the smallest value in k, -0.01, -1\/5, p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22316 - 21614. Calculate the greatest common factor of j and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 5:49 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -90*3\/(-9)*(1 + 0) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 - 3*m**2 + 7)*(-6 + 0 + 4) + 0 - 2 + 2*m - 7*m**2 + 0*m**2 as y*m + v*m**2 + j and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 1621*t**5\/60 - 71*t**4\/8 - 4*t**3\/3 + 171*t**2 - 4*t. What is the second derivative of q(m) wrt m?\nAnswer: 3242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**15*d)\/d)\/d)\/(d\/((d\/d**(-23))\/d)))\/(d**(-12\/11)\/d**(-27)) assuming d is positive.\nAnswer: d**(111\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -69363800 rounded to the nearest one million?\nAnswer: -69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -412 divided by -3.\nAnswer: 412\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(((-90)\/(-165))\/((-32)\/88))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 9:34 PM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -n. Suppose v - c = -0*v + 192, 3*c = -4*v + 761. Suppose n = -3*j + 58 + v. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -2731*s**5\/20 - 95*s**3 + s**2 + 2552*s. Find the second derivative of l(y) wrt y.\nAnswer: -16386*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -164 (base 11) to base 2.\nAnswer: -10111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -3 + (-10 - -7 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a millennium in centuries?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1097 times 214.3\nAnswer: 235087.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 16 = -2*a, 4*k - 35 = -5*a - k. Solve n = h - 4, a = 2*h + 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -8. Let w = 39\/73 + -5\/146. Let o = -0.03 - -0.09. Sort w, r, o in ascending order.\nAnswer: o, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*n + 89*n + 84840 = 46*n. Does 42 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 21) + 18 - -14 - -10\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 492320022 at least as big as 492320022?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 458316 + -12838103\/28. Let x = m - -1158\/7. Let a = -3643\/12 - -297. What is the common denominator of a and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l**2 + 2*l + 1. Let z(j) = 10*j**2 + 3*j + 1. Calculate -5*u(s) + 3*z(s).\nAnswer: 5*s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 5 + 19)*(-670*y + 670*y - 75*y**3)*(-6*y + y + 4*y).\nAnswer: 2175*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -600108, -600106, -600104, -600102, -600100?\nAnswer: -600098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 43, 50, 57, 64, 71, 78?\n\"Answer: 7*o + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 78*v**2 - 5*v - 5. Let r be d(-1). Let t(x) = x - r*x**2 + 0*x + 91*x**2. Let q(y) = y. Give q(t(c)).\nAnswer: 13*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 216*b**2 - 3*b - 17. Is l(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3434 + -3438. Which is the closest to 3\/4? (a) -10 (b) 4 (c) -5 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3173.2351 to the nearest 10.\nAnswer: -3170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -4988 in decreasing order.\nAnswer: 4, -5, -4988","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -16098, -16149, -16200?\n\"Answer: -51*g - 16047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**(4\/7)\/l)*l)\/((l*l**13)\/l))\/(l\/(l*(l\/(l**(-1\/5)\/l))\/l)*l*(l**(-19)*l)\/l) assuming l is positive.\nAnswer: l**(267\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2906741532 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -57\/7*w + 39\/7*w**2 + 18\/7 = 0. Calculate w.\nAnswer: 6\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -24, 0 = t + 1250*a - 1245*a - 33 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 4041.\nAnswer: -808.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5 = -3. Let h(i) = -3*i**2 - 2*i + 2*i + 2 - i. What is h(u)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1519556 divided by 379889\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 - 50*l**2 + 327*l - 504.\nAnswer: -(l - 3)**2*(l + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-2))**47\/(n**(-7)\/n*n*n\/n**2) assuming n is positive.\nAnswer: n**149","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of 2*i**2 - 11*i + 234. Determine n(-12).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*133\/336 + 3\/2.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/31)\/t**(-1\/2))\/((t\/t**(-7))\/(t\/t**(-1\/32))) assuming t is positive.\nAnswer: t**(-6353\/992)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(192)*-2*1)**2 - (-4 + sqrt(192) + 0 + -1).\nAnswer: -8*sqrt(3) + 769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 237810?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3118\/13 + -240. What is the nearest to 1 in 1, 0, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1568256373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1404 - -1401. Sort 4, o, 13 in decreasing order.\nAnswer: 13, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**2\/4 + 87435*m + 77439063\/4 = 0.\nAnswer: -221, 116801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 7477 divide 626721039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-18)\/(-12))\/(1\/(-2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4*l + 5 = 0. Suppose 3*m - i = -12, -3*i + 4*i = -l*m - 20. Let k be 13\/(-65) - (-12)\/10. Sort -2\/9, k, m in ascending order.\nAnswer: m, -2\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - l + 7 = 1, 3*t + 4*l = 4. Suppose 2*o - 5 = b - 0, 4*o = -t*b + 4. Solve -o*z = -z - 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72558*m**3 + 50 + 3492*m**3 + 5099*m**3.\nAnswer: 81149*m**3 + 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1563 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 808 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1799 a factor of 2204098375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/5 + 8*w**2\/5 + 2*w + 4\/5.\nAnswer: 2*(w + 1)**2*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -469, -3, -62.\nAnswer: -469, -62, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 56 = -16. Let x = -6 + 4. Let q = x + t. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1389 is divided by 86?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 83 - 84. Which is the nearest to -1? (a) -2 (b) -1\/4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 6540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 70\/14 - (0 - 0). Suppose -3*a - 16009 = -s*d, 4*d + 4*a = 8*a + 12804. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 651601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7053, 14106, 21157, 28206, 35253, 42298?\n\"Answer: -o**2 + 7056*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 7 - 3. Calculate the greatest common factor of 32 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 689, 660, 609, 536?\n\"Answer: -11*j**2 + 4*j + 696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -21*u + 22. Let k be n(-6). Let t = k - -1231. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -15*q**5\/2 - 49*q**4 + 321*q**3\/2 - 56*q**2 - 18*q = 0.\nAnswer: -9, -1\/5, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from miimivmvit. Give prob of sequence tim.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -73, 8281 in decreasing order.\nAnswer: 8281, -4, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7743*k*r**5 - 1355*k*r**4 + 54562583*k*r**2 wrt r?\nAnswer: 464580*k*r**2 - 32520*k*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1206617 to the nearest integer?\nAnswer: 1098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, -1141, -3961, -9431, -18433, -31849?\nAnswer: -50561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2405008 to the power of 1\/3, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -5*l**3\/3 + 9*l**2\/2 + 3*l. Is h(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -10*h - 132. Calculate j(-10).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5764, 5941, 6236, 6649, 7180, 7829?\nAnswer: 8596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 5, 0 = q - 6*q + 4*y + 30. Suppose q*j = -0*j + 8. Is (2 - j)*1 + 69 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -79 - -91 - 7*1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -1)\/((-11)\/(-11 + 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h + 6. Let d be j(-2). Let m(v) be the first derivative of 6*v + 9\/2*v**d + v**3 - 3. Find t, given that m(t) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -80.6 + 705.6. Let w = p + -733.2. Let g = w + 108. Which is the closest to -1\/2? (a) 3\/7 (b) g (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15872.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27699399.\nAnswer: 3, 7, 13, 31, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -4 (c) 5 (d) -8 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 12, i: 1}. What is prob of picking 3 w?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r**2. Let p(f) = -3155*f + 8. Let y(m) = 3157*m - 6. Let s(q) = -3*p(q) - 4*y(q). Calculate w(s(n)).\nAnswer: -40018276*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 4\/7, -3, 6.67?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 7*w**2 + 5*w + 1. Is 12 a factor of p(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 6*n**2 + 7*n - 1. Let w(r) = -3 + 1 - 16 + 5*r - 1. Calculate the remainder when y(6) is divided by w(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*((-460)\/(-80))\/(-23)*-8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -8237, -29, 5 in increasing order.\nAnswer: -8237, -29, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203296?\nAnswer: 2, 6353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4421 - 250?\nAnswer: 4151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*t + 1 + 7 - 4*t to the form s + c*t and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15 + 1?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 16. Let k = r + 4. Which is the nearest to -1\/4? (a) k (b) -1\/3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 591 at most as big as -53.84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r - 5. What is l(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.313 times -192.977?\nAnswer: 60.401801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -14*t + 70. What is the lowest common multiple of 8 and t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2511015 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*w + 5, -2*c + 1 = 4*w + 3. Suppose c = -3*t - 9. Let k = t - -10. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 4 = 0, a + 0*z = -5*z - 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyly when four letters picked without replacement from llylllllyly?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 277374969 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/2 and -26\/135493.\nAnswer: 270986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 43498*b*f*i**3 + 3*b*f*i - b*i**3 + b*i**2 + 9*f*i**2 - 3*i**3 + 4*i - 1947 wrt f?\nAnswer: 43498*b*i**3 + 3*b*i + 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5846 + 5791 + (1 - 93)\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -1)\/(6\/(-5382)*39)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 8 = -0*c + 2*c, -16 = -5*r - 4*c. Let v = -13\/2 - -7. Factor r + t**3 - v*t**4 + 0*t - 1\/2*t**2.\nAnswer: -t**2*(t - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9\/(-1))\/(-3))\/(2 + -17 - -21).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 12:21 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*p + 7 - 7)*(-2*p + 3*p + 3*p).\nAnswer: 32*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 41, 2\/7, -3, -25\/13 in increasing order.\nAnswer: -3, -25\/13, 1\/6, 2\/7, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - -125 - 4 - -5. Let s = -120 + l. Suppose -5*o = -s*o + 916. List the prime factors of o.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01321 to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -3\/195472?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 4*q + 4850, -4*q = -4*n + 459 + 3457. Let c = n + -1865\/2. Calculate the common denominator of c and 8\/99*237 - (-2)\/11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22140 by -5535.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aaaawawwwaaaawawaa?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3073 + 3069. Which is the nearest to -2? (a) -0.4 (b) 4\/5 (c) f (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-10))\/m)**(8\/3)*(m**(1\/29)*m)\/(m\/m**(4\/11)) assuming m is positive.\nAnswer: m**(25901\/957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l + 1. Let t(s) = -4*s + 2. What is -4*t(x) + 7*u(x)?\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4*3\/15)\/((-14)\/(-105)). What is the tens digit of (-538)\/t - ((-114)\/18 + 6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-525)\/(-175))\/(1\/3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2824577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 3*c + 1, 4*c + 41 = -i + 43 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 138074140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75 - -78. Suppose 565 = -f*h + 1567. Let l = h - 193. Is 47 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2150293605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*4*sqrt(441))\/(sqrt(30)\/(sqrt(1000)\/sqrt(4) - sqrt(10))).\nAnswer: -560*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6552 and 13472.\nAnswer: 11033568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/9))**(2\/55) assuming p is positive.\nAnswer: p**(-2\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 - 2*c**2 - 3*c**2)*(-11*c + 8*c - 5*c).\nAnswer: 24*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by -33.\nAnswer: 35\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**3\/3 + 6*p**2 - p. Let n(j) = j**2 - 13*j - 59. Let r be n(17). What is the tens digit of y(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9855\/(-20) + -3)*4. Let a = 7792 + p. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 746\/5 + -719\/5. Is 4 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2514384071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4470.5364 + 4472. Round s to 1 decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 - 4 = -3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + v + 50 = -26, 2*v = -5*w - 77. Let m = w + 23. Calculate the least common multiple of m and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 11*m - 169 + 288 = 0, 76 = -4*y - 4*m for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3014 - 1503 + 7*t - 1511.\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.659 - -0.659. What is the second smallest value in -50, v, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-10)*8\/16)\/(8\/5).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -49, -791, -2\/5, 32 in descending order.\nAnswer: 32, 2\/3, -2\/5, -49, -791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {m: 9, l: 10}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 t, and 1 f when three letters picked without replacement from tsf?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 3. Let i be (-28)\/(-21)*(16 + -1). Let d = i - c. Does 20 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23c7b (base 16) in base 11?\nAnswer: a0122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 q when four letters picked without replacement from qyyyqyqyyyyy.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 2*r - 2*r)*(-3*r**4 + r**4 + 3*r**4) + 9*r**5 + 9*r - 9*r + 2 + 2*r**2.\nAnswer: 8*r**5 + 2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4+-64468777.4\nAnswer: -64468773.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 2*v**4 - 9*v**3\/2 + 3*v**2\/2 + 6*v. Factor l(k).\nAnswer: 3*(k - 1)*(8*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43753512 to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 522043133?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, l: 1, d: 3, r: 7, w: 7, x: 1}. What is prob of sequence ldrw?\nAnswer: 49\/38760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6838109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.5 + -2. Suppose 24*v - 20 = -44. Which is the closest to v? (a) 0.4 (b) -2\/15 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -f**7\/420 + f**4\/12 + f**3\/2 + 2*f**2. Let d(x) be the first derivative of p(x). What is the derivative of d(r) wrt r?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -5, 6, -19?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8719 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -w**5\/120 - w**3\/6 - w. Let y(f) be the second derivative of h(f). Let n(b) = 6*b**2 + 3*b - 3*b. What is n(y(r))?\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/25 (b) 1\/6 (c) -8 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y + 5. Let v(p) = -p + 3. Let o(g) = 2*d(g) - 3*v(g). Let a(r) = r - 6. Let l be a(10). Let b(q) = -2*q - 4 - q**2 + 7 + 0. What is l*o(z) - b(z)?\nAnswer: z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/(-66))\/((-3)\/(-22)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(832) + sqrt(832)*2))**2 + (sqrt(832) - (sqrt(832) - (sqrt(832) + 1 + 5 - sqrt(832))**2)) + (0 + sqrt(832) + -3)**2 + 2 + 3)*6.\nAnswer: -288*sqrt(13) + 50220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -40\/11, -1, 0.1215, -8?\nAnswer: 0.1215","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 112801 - 612501. Round o to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79270?\nAnswer: 2, 5, 7927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*264\/(-136) + -4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y - 9. Let w(h) = 12*h - 27. Give 17*i(f) - 6*w(f).\nAnswer: -4*f + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6750*z**4 + 237600*z**3 - 47340*z**2 + 3152*z - 70.\nAnswer: -2*(z - 35)*(15*z - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(0 + 1 + sqrt(68) - (sqrt(68) - 4*1*sqrt(68))) - (-2 + 6*(sqrt(68) - sqrt(68)*2) + 0))*-6)**2.\nAnswer: 6048*sqrt(17) + 480132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)\/sqrt(2))\/sqrt(2) - sqrt(88)*2)\/((sqrt(165)\/sqrt(5))\/sqrt(3)*2).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**7\/735 + n**6\/210 - n**4\/42 + n**3\/21 + 9*n**2. Factor g(o).\nAnswer: -2*(o - 1)**3*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*z - 75321, -4*c + 266630 + 34708 = -2*z. List the prime factors of c.\nAnswer: 3, 25111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31714 and 3737?\nAnswer: 1173418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1158 and 89724.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 72\/5 - (-4)\/(-10). Suppose -n = -4*c - 0*n + f, -3*n = c - 10. Let x be c\/2 - 96\/(-3). Calculate the highest common factor of x and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82650 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 16 - 15 = 0. Is n > 8\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -0.4, 3\/2, -4\/15?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 8*j**2 + 2*j - 2. Let b be a(-8). Let u be (9\/84)\/(b\/(-16)). Is u >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50622 (base 10) to base 6\nAnswer: 1030210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3405?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2771*p - 47036 = 4782*p + 353273 for p.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/4 and 11\/557.\nAnswer: 2228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3732.4 + -3732.4. Let g = 0.1 - 1.1. Which is the fourth biggest value? (a) h (b) 4 (c) g (d) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2668 - -2670. Solve z*a - 3*i - 16 = -3, a = 3*i + 8 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.2 - -3. Let q = 8\/10289 - -30803\/82312. Which is the second biggest value? (a) r (b) q (c) -2\/123 (d) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-4)*(0 + -26). Let v = m - 11. Find the second derivative of 18*u - v*u**5 + 2276 - 2276 wrt u.\nAnswer: -40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44583.4 - -44583. Sort -0.5, 2206, o in ascending order.\nAnswer: -0.5, o, 2206","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 444 divide 27643773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f - 390 = -25*f. What is the least common multiple of 3 and f?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k. Let p(z) be the first derivative of -z + z + 1 - 9*z**2 + 0*z. Give j(p(c)).\nAnswer: 36*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*q**4*w + 3*q**4 - q**3*w + 1046*q**3 - 25*q**2 + 3*q*w + 3502*q + 2*w wrt q.\nAnswer: 96*q*w + 72*q - 6*w + 6276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**4\/4 + 8*c**3\/3 + 9*c**2\/2 + 5*c + 4. Calculate b(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2462861306 to the power of 1\/2, to the nearest integer?\nAnswer: 49627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 v, and 1 f when three letters picked without replacement from {f: 2, e: 4, v: 1}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i + i**2 - 3*i)*(i**2 - 28 + 29 + 0*i**2) in the form x*i + t*i**2 + b*i**4 + y + s*i**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = p - 0*q + 1, 0 = 2*p + q + 2. Let j = -406 + 406. Put p, 4, j in descending order.\nAnswer: 4, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -2*m, 6*m - 19 = m - 2*y. Let n be 2*2\/(-2) + m. Let z(v) = 2*v**2 + 1. Let c be z(n). Solve c*x = -x + 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 11*k**2 - 13*k - 1. Let o be t(10). Let h = -29 - o. Suppose -1\/2*w**h + 1\/4*w**3 + 0 + 1\/4*w = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 50, 413, 1016, 1859, 2942, 4265, 5828?\n\"Answer: 120*f**2 + 3*f - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1850\/9 - -204. Let t = -137 + 712\/5. What is the common denominator of t and z?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 5*s - 4. Let p be i(-6). Let d be 4*1 + 14 + p. Suppose -4*c + d*c = 524. What is c rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*4\/(-504)*-2*(-644)\/1104.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - 5*b**2 + b**2)*(3*b**3 + 3*b**3 - 4*b**3) + (4*b + 0*b - 5*b)*(-4*b**4 - b**4 + 3*b**4) + 3*b**5 - 26*b + 63*b - 31*b - 7*b**2.\nAnswer: b**5 - 7*b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 4*i**2 + 5*i. Let y be q(-5). Let p be ((-46)\/3)\/(2\/(-33)) - y. Is (p - 2) + 6 + -7 - 3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 2*b. Let k be l(4). Let i be -3 + (-26)\/(-8) + (-14)\/k. Suppose i*y - 242 = h, 0 = 2*y + h + 4*h - 218. Is y a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -7*w + 200000. Round w to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/6)\/(3\/(-12)). Let d be (-32)\/660 - y\/(-11). Let l = 144 + -144.2. Which is the closest to 0.1? (a) -2\/5 (b) d (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 462.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**4 - 4*b**2 - b**2 + 6*b**2 + (-2*b**2 + 0*b**2 + 4*b**2)*(-5*b**2 + 3*b**2 + 3*b**2).\nAnswer: 5*b**4 + b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.04 and 67165157575655.\nAnswer: 67165157575655.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*r - 6 = 0, -13 = -2*k - 3*k + 3*r. Suppose 20*w - 5*q + 2 = 19*w, -w = -4*q + 1. Solve 0 = 5*v - w*x, 8 = v + k*x - x for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -80177*b**2*j + 55756*b**2*u**3 - 6*b**2*u**2 - b*j - 4*b - j*u**3 wrt j?\nAnswer: -80177*b**2 - b - u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l**2. Suppose 87 = 4*u - 57. Let x(t) = 58*t**2 - u*t**2 - 30*t**2. Determine q(x(c)).\nAnswer: -192*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 8 = -5*t, 0 = t + 5*z - 6*z + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117541081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -2. Let g be (300\/672 + (-1)\/(-8))*7. Let y be ((-1)\/5)\/((-33)\/30). Put g, y, c in increasing order.\nAnswer: c, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -323 - -326. Suppose -45*l + v*o = -46*l + 1137, 2307 = 2*l - 5*o. List the prime factors of l.\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u - 8 - 61 - 36 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*a + 15*a**2 - 23*a)*(a**2 - 2*a + 2*a).\nAnswer: 15*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 565674, 565673, 565672, 565671?\nAnswer: 565670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*c - 136, 0 = -c - 0*s - 2*s + 52. List the prime factors of c*(3\/12 - 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvhuvug. What is prob of picking 2 u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(55) - (sqrt(110)\/sqrt(2) + sqrt(55)))\/sqrt(11) - sqrt(5))*6 + 2 + (sqrt(125) + 3)*2.\nAnswer: -2*sqrt(5) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.66, -0.15, -0.5, -0.4 in decreasing order.\nAnswer: 2.66, -0.15, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -7556.5, -14, -9, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1707*w**3*z - 2208287*w**3 + 2*w**2*z - 374*z wrt z?\nAnswer: 1707*w**3 + 2*w**2 - 374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6924 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 217 and 12617.\nAnswer: 88319","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 86 + 13 = 0. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*i + 5*i**3 - 9*i + 3*i**3 + 6*i + 39 wrt i?\nAnswer: 24*i**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 110 and 17370.\nAnswer: 191070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/13491 and 101\/1915722.\nAnswer: 1915722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 686 divided by -1423.\nAnswer: -686\/1423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33794286*f**6 + 17661*f**2 - 6*f + 22?\nAnswer: -4055314320*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36283 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*b - 208 = 829 + 43 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 7*u - 32. Let k(v) = 2*v + 4. Calculate 6*k(r) + t(r).\nAnswer: 19*r - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 + -0.2. Let r = 0.6 + 1.4. Let u = r + -1.8. Which is the smallest value? (a) u (b) w (c) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42522023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 6*m**2 - 8*m + 8. Let w be (-1)\/(3\/6) - -14. Suppose 0 = -2*h - 2*b + 11 + 11, 0 = 4*b - w. Is c(h) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**3 + 10*b**2 + 10*b - 9. Give i(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 - 2 - (-2)\/(-2). Suppose p - 2*p = -g*f + 271, -f + 85 = -3*p. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7350 + 10374. What are the prime factors of w?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**7\/280 + j**5\/60 + j**3\/6 + 2*j**2. Let n(h) be the first derivative of z(h). What is the second derivative of n(y) wrt y?\nAnswer: 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h + 3. Let p be v(-2). Let k be ((p - 1) + -3)\/(9\/30). Find the second derivative of k*o - 22*o - 10*o - 14*o**5 - 7*o**5 wrt o.\nAnswer: -420*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/3 - 263*u**2 + 51745*u + 156025\/3.\nAnswer: (u - 395)**2*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*2*(sqrt(3) + -1)*-5*3.\nAnswer: -150*sqrt(3) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 4*i - 2*m, -8 = -i - 5*m + 1. Let t be (4 + -10)\/(i\/8). What is the third derivative of -4*z**2 - z**6 + 8*z**5 - t*z**5 wrt z?\nAnswer: -120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u + 19*u + 2*u - u.\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 6:41 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1701746 divided by 20753?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1111, -1131, -1153, -1177, -1203, -1231?\nAnswer: -1261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u = 9*u. Suppose -4702 = -u*q - 4*q + 5*z, -3*z + 3540 = 3*q. Suppose 0 = 5*v - 3*o - q, 4*v + v - 1177 = 2*o. What are the prime factors of v?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/195772 or 1?\nAnswer: -1\/195772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + 5 + sqrt(133)\/sqrt(7) + sqrt(152)\/(sqrt(8)*-3)).\nAnswer: 4 + 8*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/6*(-18)\/135*-9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*o - 2*c - 2, 0 = 4*o - c - 11. Suppose 0 = -9*g + o*g + 330. Let j be (480\/14)\/(g\/21 + -3). What is j rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -253640.81 rounded to the nearest one thousand?\nAnswer: -254000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2627282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203*z + 802*z + 104*z + 397*z + 145*z.\nAnswer: 1245*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -1\/2*w**3 - 1\/2*w**5 + 0*w - w**4 + 0 + 0*w**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57453, 119434, 181415, 243396, 305377?\nAnswer: 367358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggppgppgguppgupgpg. What is prob of sequence ug?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 23 = 135. What are the prime factors of s?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 7\/2 (c) 11.1 (d) 80\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 517 + -513. Sort -5, j, 14 in increasing order.\nAnswer: -5, j, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 450*m - 449*m = -5*y + 106, -7*m = -y - 16 + 30 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -307*z - 48. Let u be l(4). Let c = u + 1268. Let f(q) = -7 - 3*q - q**3 + 4*q**2 + 0*q**3 - 12*q**2. Give f(c).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -528, -1047, -1576, -2115, -2664, -3223, -3792?\nAnswer: -4371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 51*u**3 - 5*u + 5. Is r(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + sqrt(567))*3 + -4 + 3*(-1 + sqrt(21)\/sqrt(3) + sqrt(35)\/(sqrt(20)\/sqrt(4)) + 4))**2.\nAnswer: -750*sqrt(7) + 39400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 8 = 3*w + 12, 4*w - 3*x = -1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 193\/772*4\/2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16604100*c**3*u + 2*c**2*u + 27*c*u - 202*c - 4*u + 3 wrt c.\nAnswer: 99624600*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrrrr. Give prob of sequence rrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10015 + -10006. What is the fourth biggest value in c, -4, 0.16, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 2*o - 11 + 1, 2*b + 5*o = 25. Solve f + 4*k - 6 = -1, b = -2*f + 2*k for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**5 + 40*h**4 + 1410*h**3 + 2520*h**2 - 3969*h = 0.\nAnswer: -21, -3, 0, 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8611*4.\nAnswer: -34444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**3 - 201*n**2 - 1980*n = 0. Calculate n.\nAnswer: -55, -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -195.02.\nAnswer: 97.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 150515077 <= 150515078?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 2*p**2 + 0*p**2 + 0*p**2 - 7*p**2 + (0*p + 2*p - 4*p)*(-3*p - 5*p + 7*p) - 2*p**2 + 2*p**2 + 6*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5427557 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69633 + 1183769\/17. Find d, given that u*d**2 + 12\/17 - 22\/17*d + 2\/17*d**3 = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 14*k - 3. Let g be u(-12). Suppose -3*z + g = -18. Let a = z + -17. Let j(o) = o**2 + 3*o + 2. Give j(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12047 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -5. Let w = -11.7 - j. Let x = -20 + 33. Which is the nearest to x? (a) w (b) 1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 76 - 229\/3. Let v = -2\/15 - m. What is the nearest to -1 in -3, 2\/9, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = -2*r. Find the common denominator of r\/((-144)\/(-129)) + 1 and 10\/(-25) + (-206)\/(-140).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 103*k**2 + 1465*k**2 + 11*k**3 + 4*k**3 - 28*k**3 - k + 11*k**3 to the form w + t*k**2 + m*k**3 + l*k and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, h: 8, u: 1, b: 4}. What is prob of sequence hh?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 239798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/13 in -1, 28, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -1.341 (c) 3\/4 (d) -0.5 (e) 167\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7918372 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*j**2 + 14 - 4*j**2 - 10*j**4 - 20 + 2*j**3 + 8*j**4 to t*j + v + n*j**3 + w*j**2 + b*j**4 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a gram in milligrams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9659424241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -48*u + 32*u. Suppose -u*w + 5056 = 1630. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 805900 to the nearest ten thousand.\nAnswer: 810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/5 + ((-120)\/25 - -4)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20\/(-250) + (-704608)\/(-100).\nAnswer: 2, 13, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 75233987 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 5*u + 9, 3*u - 2*u - 1 = 2*x. List the prime factors of 14 + -3 + (-1 - x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 2*x. What is the smallest common multiple of ((-1624)\/220 - (-46)\/253)*(-10)\/4 and c(-4)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106*t + 32*t - 6 + 4 to the form k*t + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 - -21. Let u = -2 + x. Let t = 0.1 + 0.1. Is u bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1701957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*m + 22. Suppose 0*h = m*h - 12. Let c be (-2)\/(h*46\/(-4)). Which is bigger: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 2:30 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**2\/4 + 82833*t\/4 - 414315\/2 = 0. What is t?\nAnswer: -27621, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 4*s - 6. Let h(x) = 2*x**2 + 9*x - 13. Let b(z) = -3*h(z) + 7*u(z). Let r be -2 + 2\/(-2) + 0. Calculate b(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30.1 - -13.5. Let w = -30.6 - i. Let d = -8 + 7. Is w <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4+-3797319065.59\nAnswer: -3797319069.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.27 + 0.03. Let z = 3\/52 + -29\/52. What is the closest to z in -1, 0.4, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**4 + 0*y**4 + 0*y**4 + (1676*y**2 - 6 - 16 - 1673*y**2)*(y**2 + 4*y**2 - 3*y**2).\nAnswer: 4*y**4 - 44*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 4. Let z = 4 + b. Solve s - 5*s + 12 = z for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 26079340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-35))\/((-20)\/(-28)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9882 and 777670578?\nAnswer: 3294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p**3 + p**2 - 4*p - 15. Let l be y(-5). Suppose 0 = -3*s - b + 1411, 5*s = -b + 1944 + l. Let o = -218 + s. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -2, 3\/5, 1, 36?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5936202 is divided by 2968063.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 197543 and 4921.\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 5 + 7*y + 2*y**2 + 3 + 0. Let n be h(-6). Suppose 11*v + 2*v - 234 = 0. Calculate the highest common divisor of v and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 395 + -715. Let k be 1 + 2 + 3 + a\/52. Sort 0.5, k, 2\/5 in increasing order.\nAnswer: k, 2\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 9) to base 14\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.3 (b) 3\/7 (c) 5455 (d) 0.5 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -687 * -9.\nAnswer: 6183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2586\/19? (a) 0.5 (b) 0.1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 73 = -4*y + y, -4*y = -2*t - 88. Solve -2*v - 25 = -3*k + 3*v, 4*v = 3*k - y for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -443*n - 426*n - 364210 = 4837*n + 916*n for n.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.1 + 1.7. Which is the closest to -1? (a) 3 (b) q (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c**3 - 599*c**2 + 238*c + 7782. Give b(-200).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2 + 0 + 2 + 0 + a**3 + 5*a - 5*a**2. Let z be g(7). Let y = z + -13. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, h: 2, g: 1, m: 1, l: 2}. Give prob of picking 1 r and 1 h.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -178645176.6 rounded to the nearest one thousand?\nAnswer: -178645000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3920243, 7840482, 11760721, 15680960, 19601199?\nAnswer: 23521438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 51\/5 of a kilogram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1039519766 to the nearest integer?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24642 and 96435468?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2295*j - 21522 with respect to j.\nAnswer: -2295","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 o when two letters picked without replacement from oowwo.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-5) + 1773\/(-30). Let j = -15915 - -95833\/6. Let t = h + j. What is the third biggest value in 7, 0, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 231*v**3 - 117*v**3 + 54*v**2 - 113*v**3 + v - 15*v**4 - v wrt v.\nAnswer: -360*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59164.\nAnswer: 2, 7, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17232 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4 - 0. Suppose 5*i - 16 = a. What is the third derivative of -g**i - g**4 - g**2 + 5*g**2 - g**2 wrt g?\nAnswer: -48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54 - -79. Let h(q) = -q**2 - 17*q - 8. Let t be h(-16). Let g be (-4)\/t*-8 + 1. What is the highest common divisor of g and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -8*k - 23. Let d be h(-3). What is the highest common divisor of d and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5*sqrt(80)*1 - sqrt(80))\/(sqrt(360)*-4*-3)*-5.\nAnswer: -4 - 5*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10385231?\nAnswer: 43, 241517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.5, -5, -1\/3 in decreasing order.\nAnswer: 0.5, -1\/3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50287542?\nAnswer: 2, 3, 83, 241, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -0.5 (c) 2\/5 (d) -2 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + (-1 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/(-72) - 29598\/27. Let p = h - -1983. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k**2 + 58*k + 45. Calculate p(14).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 345 = -2*d - 3*d. Let r = 163 + d. What are the prime factors of 2\/(-3) + r\/6?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 5*u - 16, -4*u = -4*o - 8*u + 12. Calculate the remainder when 21 is divided by (-4 + 0\/3)*o - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -11*f**3 - 6*f**2 + 5*f + 2. Let d(c) = -5*c - 31. Let v be d(-5). Let h(n) = -32*n**3 - 17*n**2 + 14*n + 6. What is v*h(u) + 17*i(u)?\nAnswer: 5*u**3 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36.793 + -0.193. Let f = -36.6 + q. Which is the smallest value? (a) -0.3 (b) f (c) -3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-6)*(2 + 114\/(-51))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-8\/3)*a)\/a)\/a**(-6))**(-13) assuming a is positive.\nAnswer: a**(-169\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44461246*l = -44461286*l + 480 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4 = -5*a - 2, -5*p + 30 = -5*a. Let b(f) = -2*f**2 - 7*f + 1. Let u be b(a). Solve 2 = -2*k - u for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 14*t - 77 = 0, 63993*c - 63994*c + 2 = -t for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -128282554595 minus 0.7?\nAnswer: -128282554595.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 811012566.\nAnswer: 2, 3, 7, 13, 521, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.379789517 rounded to 5 dps?\nAnswer: 0.37979","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l**3 - 11*l**2 - 3*l. Let n(j) = 3*j**3 - 12*j**2 - 3*j. Let f(k) = 6*d(k) - 5*n(k). Solve f(v) = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 70? (a) 1\/4 (b) 3 (c) -40 (d) 0.5 (e) -0.049\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) 1\/4 (c) 168\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -2569047.\nAnswer: -5138094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28043, 32284, 36525?\nAnswer: 40766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/2 and -58895 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - (-17)\/(2346\/127080). Let l = n - 926. Find the common denominator of l and 1\/(0 + (-16)\/194).\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x**2 + x**2 - 6*x**2.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -x**7\/7 - 368*x**6\/3 - 2*x**5\/5 + 36*x**3 + x**2\/2 + 3*x - 5561. What is the third derivative of o(r) wrt r?\nAnswer: -120*r**3 - 44160*r**2 - 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(216)*-2 - sqrt(216)) + sqrt(216))\/(sqrt(8) - 2*sqrt(16)\/sqrt(2)).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/(-2) + 16\/8. Let k(d) = -3*d + 62. Let a be k(q). Solve -5*f + 5 = 3*n + 22, -14 = 3*f - a*n for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 5:42 PM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 + -35. Let l be (-4)\/(0\/o + -3 + 1). What is the closest to l in -5, -2\/11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76863935671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f - 1 - 2*f**4 + 5*f**4 + 3 + f**3 to the form m*f**4 + x*f**2 + j + o*f + k*f**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 154793879*b**4 + 64247834*b wrt b.\nAnswer: 1857526548*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -14 + 1 + (13 - 10). Let w be i*2\/(-10)*42. Calculate the greatest common divisor of w and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**2\/7 - 2754*u\/7 - 222052\/7 = 0. What is u?\nAnswer: -1291, -86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142 (base 5) to base 9.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/15))**(-45) assuming l is positive.\nAnswer: l**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/7)*m)**(26\/5))**(27\/2) assuming m is positive.\nAnswer: m**(2808\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -211086 and 0.1.\nAnswer: -21108.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -24106 (base 7) to base 12\nAnswer: -3731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*v**2 + 39*v**2 - 8*v - 2 - 21*v**2 to k*v + u + w*v**2 and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mu when two letters picked without replacement from fmoufamoauyu?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3140629 minutes in milliseconds?\nAnswer: 18843.774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/14 - 264\/(-56). Suppose -2232 = -4*v - b*v. Is 13 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-1122)\/255)\/(10\/(-2725)) is divided by 294?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 2:07 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 154085 + -154085.400015. Let o = 0.4 + g. What is o rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -432 + 126 = -2*p. Is 20 a factor of 12\/30 + p\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 m when two letters picked without replacement from {f: 1, q: 2, m: 7, i: 1, j: 1, h: 2}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.07 (b) 85 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 11*g**2. Let n(h) = 1302*h**2. Determine n(y(r)).\nAnswer: 157542*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/70 + 18\/(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-8)\/3)*(-1800)\/(-270).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -45*j**4\/4 + 2*j**3\/3 + 139*j**2\/2 - 263. Find the second derivative of b(t) wrt t.\nAnswer: -270*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.9 + -4. Let j = -235 - -234.9. What is the nearest to p in j, -0.5, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/15, -5.08, 2\/3, 3 in decreasing order.\nAnswer: 3, 2\/3, 0, -2\/15, -5.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -311 equal to -311?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68.14 - 67.14. What is the second biggest value in 7, -4, a, -28?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*j - 1076 = 26*j. Calculate the remainder when j is divided by 46.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q - 1. Let c be a(4). Let k(x) = x + 11. What are the prime factors of k(c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t**2 - 317576*t + 317576*t + 128 to f*t + s*t**2 + j and give j.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6004*z - 1192*z - 296 + 12093 + 4227*z with respect to z.\nAnswer: 9039","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 4*x + 39, 6*x - 32 = -u + x. What are the prime factors of u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 121080 and 2700.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-3)*4\/(-36)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 330336.1 nanoseconds in milliseconds?\nAnswer: 0.3303361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*n + 2 = 0, -k = -3*k + n + 37. Suppose w + 2*v = -v + 6, -5*w - 4*v = -41. Let q = k - w. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1083 (base 14) to base 13.\nAnswer: 13bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49850092703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 82152550, 82152538, 82152524, 82152508?\n\"Answer: -d**2 - 9*d + 82152560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 431 divided by 30\nAnswer: 431\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 23.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 10*d**2 + 10*d - 11. Let p be a(9). Let o = p + 8. Calculate the remainder when 17 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b**3 - 3*b. Suppose 4*g + 442 - 374 = 0. Let u(t) = 14*t**3 - 9*t. What is g*c(v) + 6*u(v)?\nAnswer: -v**3 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 3:47 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*q = 554*q + 479*q + 15354 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 12300087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64543, -64688, -64853, -65038?\nAnswer: -65243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 0*u + 20 + 5\/24*u**4 + 0*u**2 + 1\/60*u**5 + 5*u**3. Let i(n) be the third derivative of z(n). Calculate i(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 8) to base 14\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -11. Find the common denominator of 130\/f - (-3)\/(-6) and -1\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 237 - 704\/3. Which is smaller: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) 94 (c) -15 (d) -59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1094534 litres to millilitres.\nAnswer: 109.4534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1073780\/13 or 82599?\nAnswer: 1073780\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 34 - 158 = 5*v, 5*c - 160 = 5*v. What is the remainder when 250 is divided by c?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*m - 36. Let d be 90\/m*2\/(-3). Let p be d\/(-20)*3\/(-1). Sort 4, -3, p in decreasing order.\nAnswer: 4, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7 - 1 + 1 - 7*r wrt r.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 7*y + 6. Let l be p(5). Let n(q) = q**3 + 3*q**2 - 5*q - 2. Let b be n(l). Let j be 2\/6 - (-12)\/(-27). Sort 1, b, j in increasing order.\nAnswer: j, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -21. Suppose k*j + q = 23, 3*j - 2*q - 2 = 7. What is the first derivative of d**3 + j*d**3 + 8 - 15 wrt d?\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 996905 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 355060 to the nearest 1000.\nAnswer: 355000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63 - (-65 - -54) - 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l - 11*l - 6 - l + 8. Let r be k(-5). Suppose r + 39 = 2*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 9 + 3. Suppose q = -0*q + 3. Let d be ((-4)\/q)\/(50\/(-75)). Solve 2*s + 5 = -l*f, 2*f - f = -d*s + 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/944 (b) 4\/7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8144364.1 rounded to the nearest 100000?\nAnswer: -8100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 p when four letters picked without replacement from ppppbbbuubu?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**3 + 4*g**3 - 2*g**3 - 9*g**5 + (5 + 1 - 3)*(g**5 + g**5 - 3*g**5).\nAnswer: -12*g**5 - 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 12 = -3*t, -5*x = t + 2*t + 18. Let s = 4 - 8. Sort -2, s, x in decreasing order.\nAnswer: -2, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5228, 5226, 5224, 5222, 5220, 5218?\nAnswer: 5216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(7344) + sqrt(7344))\/(sqrt(27) - sqrt(54)\/sqrt(2) - 3*sqrt(75)) + 0.\nAnswer: -44*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 127*x. Let i(l) = -2037*l**2. Calculate i(v(k)).\nAnswer: -32854773*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -602 and -534436.\nAnswer: 321730472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*r + 52*r + 550 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6351 - 6350.9972276. What is x rounded to 4 dps?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/67*3265\/(-1306)*(-1)\/(-5)\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a microgram in nanograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (23 - -30)*(0 - -163)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yrarrwaarayrryrrrw. Give prob of picking 1 a and 1 w.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-16)\/(-3) - 1) + 179\/((-25239)\/188). Solve -9*x + 6*x - 9 = o*f, 3*x + f + 7 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p + 5. Let i(q) be the third derivative of q**4\/6 - q**3 + q**2. Suppose -4*l - 8 = -2*l. Let j be (2 - (-2)\/(-4))*l. Determine j*u(f) - 5*i(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-2) + 110\/(-90). Let z = -0.39 - -0.15. Sort 5, i, z in descending order.\nAnswer: 5, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -354, -2, 4, -3 in increasing order.\nAnswer: -354, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 - -36. Let u be m\/(-7) - ((-128)\/28 + -5). Solve 0 = -r - 2*r + u for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131734?\nAnswer: 2, 65867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, t: 1, a: 1, i: 1, k: 1}. Give prob of picking 1 k, 1 a, and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -172 - 3b?\nAnswer: -1ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 12 = 5*h + l, 0 = -5*h - l + 18. Suppose -2*r = s - 146, -2*s + h*r + 292 = -r. Let b be (-30)\/9*(2 - s). Round b to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 3*s + 6. Let c = -1 + s. Let d be 1 + c + 7*1. Solve j + 2*b = -14, -3*b + 5 = -d*j - 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -2*h - 42, -m + 3*h = m - 42. Solve -3*k - 3*x + m = 0, -5 = -2*k - x + 2*x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -9, -1, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -36512 divided by 32?\nAnswer: -1141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 251*d**6 - 24*d**5*u + 27*d**2*u + 2093*u wrt d?\nAnswer: 30120*d**3 - 1440*d**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6014.7311 - 6015. What is c rounded to 3 decimal places?\nAnswer: -0.269","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 w when four letters picked without replacement from wewewxewee?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**2. Suppose 0*g - 2170 = -2*g - 2*u, -5*u = -g + 1115. Let d(w) = 3 + g*w + 2 - 1136*w - 4. Calculate n(d(m)).\nAnswer: -4232*m**2 + 184*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18.6 - -365.6. Let u = b + -353. Is u at least 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 5*w - 31, 36*n - 34*n - 24 = -4*w. Let d(m) be the first derivative of -1\/2*m**n + m + 11. Determine d(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1132 is divided by 224.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 78 - 75. Sort -4, 0.07, 5, o in ascending order.\nAnswer: -4, 0.07, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-128)\/(-20) - 4)\/(2\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4049616327 and -11.\nAnswer: 4049616316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + -1 + 2435\/2445. Let u = 707\/163 + s. Let f(d) = 15*d**3 - 29*d - 28. Calculate the common denominator of f(-1) and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w - 820*w**3 + 4 + 822*w**3 - 3*w**2 + w in the form i + t*w + x*w**3 + q*w**2 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tgt when three letters picked without replacement from gtttttgtttgtttt?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-14)*-28*1\/(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 15 - 7 - 932*o)*(-3*o + 3*o - o) + 2*o**2 - 5*o**2 + 2*o**2 to the form m*o + f*o**2 + z and give f.\nAnswer: 931","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-1 - ((-25 - -32) + (-6 - -2))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13 + 3)\/((-4)\/2). Suppose j*w = 2*w + 3. What is the remainder when w is divided by 0 + -2 - (-3 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1967057.\nAnswer: 41, 47977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001060446 to 7 decimal places.\nAnswer: -0.000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 569881 divided by -170\nAnswer: -569881\/170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**2\/7 + 54*n\/7 - 74847 = 0. Calculate n.\nAnswer: -427, 409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 80 = 2*x, 9*x - 7*x + 4*t - 74 = 0. Let v(i) = i**2 - 2 - 5*i + i - 1. What is the smallest common multiple of x and v(6)?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/168 and -51\/350.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -28*u**6\/15 - u**5 + 1525*u**4\/6 - 69*u - 2. Find the third derivative of n(p) wrt p.\nAnswer: -1344*p - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.191596 and -0.1.\nAnswer: -0.291596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/2))**5\/(a**(-8)*a**(2\/31)))**(-3\/2) assuming a is positive.\nAnswer: a**(-1011\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -5*z + 3, b - z - 18 = 3*z. Suppose -3*u + 5 = -4. Solve -u*t + 2*w - 11 = 0, 2*w - b*w = 4*t - 12 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4208\/3 - 0) + 4\/12. Is 3 + -2 - (7 - p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 63\/12*2*2. Let q = 13 - j. Let r(y) = -y**2 - y. Let c(k) = 4*k**2 - 8*k**2 - 4*k**2 + 2*k**3 - 6*k. What is q*r(n) + c(n)?\nAnswer: 2*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 465\/(-30) - -1*2 - 161\/(-46).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*s = 1289 + 5830 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 14*r**2 + 6*r + 74. What is v(-14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -w - 1, 5*w + 5*o = 6*w + 33. Let q(l) = l**3 + 14*l**2 + 14*l + 15. What is the lowest common multiple of q(w) and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 30570, 122428, 275548, 489930, 765574, 1102480, 1500648?\n\"Answer: 30631*m**2 - 35*m - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 6*z - z. Let w(s) be the first derivative of 3 - s**2 - 2 + 0*s**z. Let x(t) = 3*t**2. What is w(x(g))?\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4*f = 1052, 4*c - 522 = 2*c - 4*f. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - g - 4*g + 171, -5*x = -5*g + 275. Let i be (-2)\/(-5) - x\/20. Let z be -1 + 4 + 0 + (-1)\/1. Solve -z*m - i*m - 15 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -2\/17, -8, 3, -2\/5, 36?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s**3 + 234*s**2 + 119*s - 75. Determine v(59).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4538 = 34*g - 43776. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b = -4*u + 15*b - 4, -u - 1 = -3*b. Let r(c) = 11*c + 1. Let n be r(2). Let m = -11 + n. What is the biggest value in 3\/7, u, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*g = 8. Let f = -1325 - -1327. Put -0.1, -4, g, f in descending order.\nAnswer: f, -0.1, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5*(sqrt(19) + sqrt(171)))**2.\nAnswer: -30400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z + 2. Give x(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 2*i**3\/3 + 3169. Let z(m) = -1285*m + 1. Calculate z(q(h)).\nAnswer: -2570*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 38672871, 38672886, 38672901, 38672916, 38672931?\n\"Answer: 15*d + 38672856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 479*v**2 + 39*v - 6. Does 122 divide y(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 333 - 148. Let a = u - 170. Does 5 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.11 - -0.61. What is the closest to j in 1, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/5 + -1 + (-5546)\/(-110). Let q = -51 + n. Sort 0.3, q, -2\/19.\nAnswer: q, -2\/19, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(42\/109) - ((-90)\/35 - -2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5 = w, 7*j = -w + 5*j + 3. Let g(r) = 4*r**3 + r**2 - 3*r + 3. Let f be g(w). Suppose -f*n = -1064 + 184. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 12:38 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c**3 + 32*c**2 - 52*c - 323. Calculate the least common multiple of 316 and m(-7).\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -494*g**2 + 11176*g + 4278.\nAnswer: -2*(g - 23)*(247*g + 93)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-8))\/y)\/((y**4\/y)\/y)*y*y\/(y\/((y\/(y*y**(-2\/3))*y)\/y))*y**(6\/13) assuming y is positive.\nAnswer: y**(317\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -38.72 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 27454, -4 in ascending order.\nAnswer: -4, 23, 27454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 20789 and -0.018503.\nAnswer: 20788.981497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.1 + 0.8. Let h = -0.2 - 0.3. Let x be -1 + 3 + 1 + -2. Which is the third smallest value? (a) z (b) h (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in -30, 7, 5, -2\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, -0.0793505, 34?\nAnswer: -0.0793505","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-3\/2)*q))\/q**(-2)*q\/(q**(-4\/7)\/q)*q**(-2\/13))\/(q\/(q*q**(-2\/9)\/q)*q**3*((q\/q**(-3))\/q)\/q**(1\/4)) assuming q is positive.\nAnswer: q**(-3455\/3276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000171667 to six dps.\nAnswer: 0.000172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 28*n**2 - 39*n + 134. What is c(-26)?\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 101*p**3 - 679*p**2 wrt p?\nAnswer: 606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.1 (b) 5 (c) -2.63 (d) 0.082\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n - 377*n**2 + 2*n + 122*n**2 in the form c + m*n + p*n**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -10. Let u = -3 - h. Find the common denominator of -23*8\/u - -3 and -47\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 50, 95, 148, 197?\nAnswer: 230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83 + 79 = -4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 134.15 + -140. Let o = q - -5.8. Let g(w) = -w**2 - 4*w - 4. Let j be g(-3). Which is the closest to 0? (a) o (b) j (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of l**8\/48 + l**5\/12 + 6*l**2. What is the third derivative of m(i) wrt i?\nAnswer: 420*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 2*f - 2*f)*(121 + 77 - 157).\nAnswer: 41*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/8 - k**2\/8 - 9*k\/8 + 9\/8.\nAnswer: (k - 3)*(k - 1)*(k + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 12*o - 20. Solve o*j - 4*x - 14 = -2, j + 4*x + 7 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150177208 is divided by 547?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(24)\/(sqrt(8) - sqrt(8)*2) - (sqrt(432)*-2)**2).\nAnswer: -1725 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 t when four letters picked without replacement from {w: 8, t: 5}?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 53.01 - 0.5\nAnswer: 52.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/35)\/(2\/(-6)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 0 + 1\/6*i**3 - 3*i + 0*i**2. Let f(w) = -3*w**2. Determine v(f(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11 + 172181?\nAnswer: 172202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000072469774 rounded to 6 decimal places?\nAnswer: 0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 4. Let x = 10 - n. Solve k - 2 = -d - 0*d, 30 = x*d - 5*k for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5964.155 litres?\nAnswer: 5964155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j + 6. Let y be (-5 - -8)\/((-3)\/18). Let k = y + 23. Give z(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2. Suppose -10 = 25*s - 30*s. Let t(y) be the first derivative of 1 + 0*y + 1\/2*y**s. Determine t(g(w)).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (((-10)\/(-5))\/(2\/(-11182)))\/(-2). Let u = w + -2760. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24077 is divided by 53?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 71*o + 118. Let f(u) = -24*u - 39. Let m(v) = 4*a(v) + 11*f(v). Is 10 a factor of m(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 91226 - 91225.9915734. What is z rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**2 - 2*w**2 + 0*w**2.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 12) in base 10?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v - 4 + 4)*(-2 - 2 + 5) + (-3 - 2 + 4)*(0 + 0 + v) to t*v + j and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = -v - 306. Let k be 208\/v + ((-10)\/(-4) - -1). Solve q - 2*f = -k*q, -4*f = -q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (28 + -4)\/(-6))\/((-5)\/45).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, m: 1, t: 1, p: 2, v: 1}. What is prob of picking 1 p and 1 v?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 600349 = q, -41462 + 641819 = 3*m + 3*q. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 9*n + 212 = 6*n, -21*f + 5*n = -898 for f.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - y + 0*y = -108, -5*y = -5*u - 120. Let l(x) = 38*x + 880. Let q be l(-24). Is q bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -4 - 6 - -3 - 6\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + v + 9 = -s, -5*s + 4*v = 6. What is the smallest value in s, -2\/3, 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbj when three letters picked without replacement from bbjjbbjb.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = 9*j - 10*j. Let q = 39 + j. Suppose g - 6*w = -2*w + q, 2*w = 4*g - 652. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 12 + 8 + 0 + 10?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 417708 divided by -246\nAnswer: -1698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -1 + g + 1 - 2. Let s(u) = u - 2. Let k be (6\/10)\/(4\/20). Suppose 0*z - 4*z + 2*n = 32, 14 = -k*z - n. What is z*r(j) + 7*s(j)?\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33982515?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 64*a**5 - 4064*a**4 + 9636*a**3 + 7652*a**2 - 5380*a + 732 = 0?\nAnswer: -1, 1\/4, 3, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 129\/649 - 1\/59. Which is the closest to -0.1? (a) -0.2 (b) 2\/9 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d - 1. Let y be i(1). Suppose -1 = -p + y, 2*p = -4*w - 4. Let q(j) = -j**2 + 12*j - 40. Let r be q(5). Sort w, 20, r.\nAnswer: r, w, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10651 * -90\nAnswer: -958590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*t - t**3 - 116*t - 8*t**3.\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*d - 70*d - 47*d as f + l*d and give l.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of 74*u**3\/3 + u**2 - 29*u - 25. What is the second derivative of i(l) wrt l?\nAnswer: 148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*4\/24*6. Suppose 0 = -l + 1, 0*t - o*l = -3*t - 126004. Round t to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11 (b) 22206 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + i + 2*i**3)*(3*i - 3*i + 2*i**2) - 3*i**5 + 3*i**4 - 3*i**4 + (4 + i - 4)*(i**4 + 0*i**4 - 4*i**4).\nAnswer: -2*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -72 or -18?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -17547*h + 771960. Give t(44).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4140529, 4140518, 4140489, 4140436, 4140353?\n\"Answer: -o**3 - 3*o**2 + 5*o + 4140528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95505 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 5*f**2 + 3*f + 2. Calculate s(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 454413.8 millennia in decades?\nAnswer: 45441380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a week in hours?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/17)*m)**(-3\/25)*(m*m*m**(-15)*m)\/m**(3\/19) assuming m is positive.\nAnswer: m**(-99087\/8075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwmwmwmwmwwwmwmywmw. What is prob of picking 1 y and 2 w?\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -119819 equal to -119817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 5*w**2 + 2*w - 1. Calculate a(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2546 - -5089\/2. Which is the smallest value? (a) 5 (b) 0.8 (c) -0.05 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*r + 55*r - 2572 = 0. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**4 + 2*n**4 - n**5 + 2*n**5 + (-3*n**4 + 3*n**4 + 5*n**4)*(-10*n - 2*n - n))*(-1 - 5 + 14)*(1 + 1 + 0).\nAnswer: -1024*n**5 + 16*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8950 - -22591. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0387789 rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -6.01. Let j = t - 0.19. What is the nearest to j in -0.4, 4\/7, 1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence djd when three letters picked without replacement from jidjrjdjjjjrijrij?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -3*r**5\/5 + 5018*r**4\/5 + 630628*r**3 + 430240734*r**2\/5 + 113821443*r + 28402920 = 0.\nAnswer: -255, -1, -1\/3, 2184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142671296 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 divided by 26?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3671.\nAnswer: 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74208961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a278 (base 16) to base 15.\nAnswer: 5eee1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 41, 59, 79, 101, 125?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p = 7*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 10 + 10 + 9 + 47*c**3 + 1 - 28.\nAnswer: 47*c**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2d389c (base 15) in base 13?\nAnswer: 5b8447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3)\/p)\/p**(-10))**14*(((p**(-5)\/p)\/p)\/p)\/(p\/p**(1\/12))*p**(1\/8)\/(p**2*p) assuming p is positive.\nAnswer: p**(1733\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007073 rounded to four decimal places?\nAnswer: -0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 105*y**2 + 501*y\/5 - 24\/5 = 0.\nAnswer: -1, 8\/175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*m**3 - 49*m**3 - 106*m**3 - 68*m**3 + 246*m**3.\nAnswer: -40*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of 0*d**5 - 2 - 1\/2*d**6 + 0*d - d**2 + 0*d**3 + 0*d**4. What is the second derivative of b(a) wrt a?\nAnswer: -60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -76 - -269. Suppose 4*g - 5*g + 60 = 0. Find the common denominator of -97\/22 and a\/g + 1\/3.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*f - 11*f**2 - 19*f)*(-7*f + 2*f + 3*f)*(f**2 - 3*f**2 + 0*f**2).\nAnswer: -44*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-14))\/(-7 - (-658)\/98)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - -0.4. Let j = -0.6464 + 0.3464. Which is the second smallest value? (a) 1 (b) u (c) 0.5 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 195241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 27 + 15. Put -5, -6, -2, q in ascending order.\nAnswer: -6, -5, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 - 26. Suppose -c - 2*c + 68 = -g*i, -4*c = -5*i - 89. Suppose -21*l + c*l = -415. Is l a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137831.\nAnswer: 137831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 + -3371568\nAnswer: -3371567.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 10*l**2 + 2*l - 1. Is 22 a factor of w(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104 (base 9) to base 10.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(-4\/15)*n))\/n*n)**(-39)*(n**(1\/4)*n)**(-1\/18) assuming n is positive.\nAnswer: n**(-3769\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 14897, 29798, 44699, 59600, 74501, 89402?\n\"Answer: 14901*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4537*k - 3500 = 4467*k for k.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8549683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 92*16591\nAnswer: 1526372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 - 194158*v**2 - 776608*v - 776600.\nAnswer: -2*(v + 2)**2*(v + 97075)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 11:19 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 4*f - 3*f**3)*((16*f + 36*f + 27*f)*(-2 + 4 - 1) + 4*f - f - 2*f) + (-2*f**3 - 3 + 3)*(4*f - f - f) + 19*f**4 - 83*f + 83*f.\nAnswer: -225*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5*l - 4 = -10, -l - 26 = -3*q. Calculate the remainder when 31 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 5*t**2 + 2*t + 5. Let u be p(-4). Let v(n) = -n**2 - 20*n - 12. Let z be v(u). Let s(c) = c - 9. Calculate s(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {b: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -56314, -56154, -55982, -55792, -55578?\n\"Answer: a**3 + 153*a - 56468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 52*z + z**3 - 2*z + 9 - z**2 to j*z + u*z**2 + w + h*z**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*y**2 + 32595*y - 8150.\nAnswer: 5*(y + 1630)*(4*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*4\/16*-17 - 7?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13961, -29805, -45649, -61493, -77337, -93181?\nAnswer: -109025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - 2. Let n = 8 + -8.4. Put -3, n, p in ascending order.\nAnswer: p, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45702043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29661104 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 27*l**3 + 5*l**2 - 10*l. Let u(a) = 13*a**3 + 3*a**2 - 5*a. Let v(f) = 3*q(f) - 5*u(f). Find the second derivative of v(w) wrt w.\nAnswer: 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150845?\nAnswer: 5, 30169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.008 (b) -9.9 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 71.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(304))**2 - (sqrt(171) + -2))*-3.\nAnswer: -915 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + 8*f - 8. Let c be i(6). Suppose 0 = -6*m - 8280 + 8724. Suppose 0 = c*u - 126 - m. Is u a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203027 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - 294 + 318. Let n(r) = -11*r. Let a(c) be the second derivative of 0*c**2 + 0 + 5\/6*c**3 - 12*c. Give s*n(w) - 9*a(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - v**2 - 2. Let w be b(-2). Solve 0 = w*r - r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) + -4 + -3 - sqrt(325))*-2 + -3 + (sqrt(325) - (sqrt(325) + -2)*5))**2.\nAnswer: -840*sqrt(13) + 5641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -135 + 131. Is (-7)\/v*-4 + 19668 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1327 - 40*v - 1327)*(-20 - 3 + 3)*(4 - 4 + 1)*(-2 - 2 + 2)*(-3 + 4 - 3)*(-3 - 2 + 6).\nAnswer: 3200*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**2*n**2 - 645*j**2*o*p**3 - j**2*p + 68*n**2*o*p**2 - 2*n**2*p**3 - 2*n*o*p**2 - o*p**3 wrt p?\nAnswer: -3870*j**2*o - 12*n**2 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 59*r**2 - 227*r + 408. What is the remainder when 2474 is divided by s(55)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 108\/5, -2, 3, 0.1, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 967832?\nAnswer: 2, 311, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(3\/14))\/(f*f\/f**(-1\/19))*f**9\/(f**(2\/9)\/f*f*f) assuming f is positive.\nAnswer: f**(15587\/2394)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2890*o - 2891*o - 2911*o + 8694*o - 153*o**2.\nAnswer: -153*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10147 is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -677*f**2 - 86*f - 408294 with respect to f.\nAnswer: -1354*f - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3411821.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -167 - -81. Let l be (111 - (0 - -3))*(-6)\/8. Let d = l - n. Let y(w) = w**3 - 4*w**2 - w + 1. Calculate y(d).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**4 + 24891*q**3 - 44516280*q**2 - 178363908*q - 178463520 = 0 for q.\nAnswer: -2, 2616, 5685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5814 = a + 5794. Suppose -4*g - 4*m = 8, 5*g - a = -20*m + 21*m. Factor -696\/7*z**g - 174*z + 21 + 48\/7*z**4 + 2691\/7*z**2.\nAnswer: 3*(z - 7)**2*(4*z - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5408*z + 6500*z = 3276 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4))**38\/((o*o*o\/o**(-2\/7))\/(o\/(o**1\/o))) assuming o is positive.\nAnswer: o**(-1080\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1371.1895 rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2997086 or 2997081?\nAnswer: 2997086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8261932ml to litres.\nAnswer: 0.0008261932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 20 = -2*b, b = -4*x + x + 20. Let w(g) = -g**3 + 4*g**2 + 8*g - 3. Let m be w(5). Solve -x*d + 3 = -m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38606430017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5018715?\nAnswer: 3, 5, 13, 23, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 10:07 AM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*m - 100*m - 8 = -4*p, -8 = 4*p + 5*m. Factor 0*c - 56\/9*c**2 + 4\/9*c**p + 0.\nAnswer: 4*c**2*(c - 14)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 13. Suppose -5*y + 398 = -j*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y - 6. Let a be m(2). Suppose 0 = -2*h + 2*w - 10, 17 = -h - a*h + 4*w. What is the nearest to 4 in 5, 4, h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**3 - 5*p**4 - p**4 - 40*p**2 + 3 - 4*p + 21*p**2 + p**4 + 21*p**2 to the form t*p**3 + w*p + s + r*p**4 + c*p**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 18*s - 16*s - 5*m, 5*s - 30 = 5*m for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 43*x**2\/4 + 40065*x - 3727\/4 = 0. What is x?\nAnswer: -3727, 1\/43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52 - 48. Let h(w) be the third derivative of 8*w**2 - 1\/105*w**7 - 2\/3*w**3 + 0*w + 1\/12*w**s + 1\/10*w**5 + 0 - 1\/60*w**6. Factor h(y).\nAnswer: -2*(y - 1)**2*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 10:59 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d + 4. Calculate v(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -14 + -6 + -23 - -51\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -138*l - 20922. Calculate o(-143).\nAnswer: -1188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3.6, 0.1, -0.2, -3\/7?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nne when three letters picked without replacement from {e: 3, n: 3, o: 2, s: 5}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 222\/407 - 2842\/(-154).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 2*b + 56. Let u be o(0). Let x be (-5)\/2*u\/70*-2. Suppose 2*a = -3*a + 20. Solve 5*n = -2*j + 15, 4*j + x = a*n + 20 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 926, 3681, 8272, 14699, 22962?\nAnswer: 33061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a meter in millimeters?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 16*b**2 + 18*b - 45. Give g(15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -282045, -282046, -282047, -282048, -282049?\n\"Answer: -h - 282044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4536 and 47265.\nAnswer: 71464680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40301\/41 + -983. Let x = -88\/123 - j. What is the nearest to -2 in x, -0.4, 2\/19?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456.134 rounded to the nearest 10?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 7*j - 12. Let b be g(8). Let f be -1*b\/(-12)*3 + -2. Calculate the highest common factor of 27 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -6*z - 59. Let a be o(-10). Solve 2 = n - a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (70*66\/207900)\/((-1)\/6)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 8 = -304. List the prime factors of b\/(-6)*18\/12.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -66*o**2 - 566*o + 2283. Give a(4).\nAnswer: -1037","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**4 - 2 - 1 + 2)*(-4 - m + 4)*(0 + 3 + 3).\nAnswer: 6*m**5 + 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express a**2 - a**2 - a**2 + (-1 + 2 - 8)*(-5*a - 12 - 2*a + 5*a)*(-a + 5*a - a + (0 + 0 - 2)*(3 + a - 3) - 2*a + 5*a - 2*a) as c + h*a + x*a**2 and give x.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 13. Let a(j) = -j**2 + 2*j + 12. Let t be a(8). Calculate the lowest common multiple of (-14)\/(-8) + (-45)\/t and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a meter in millimeters?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2745\/(-1)*96\/(-160). Suppose -287 + f = 5*b. What are the prime factors of b?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/3 (b) -419 (c) -1\/4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -105808.6 to the nearest one thousand.\nAnswer: -106000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5*k + 1970 = 0, 0*d - 3*d + 5*k = -1192. Let z = 1471 + d. What is z rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rvs when three letters picked without replacement from rsdssvrvrrrr.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 192*f**2 - 135*f.\nAnswer: 384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 40*(627\/(-76))\/(-33). Solve 0 = -4*n - a + 18, 5*n + 5*a - c - 5 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(171)*-3)*-1.\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19.1 + -19. Let g = 5.6 + -6. Let n = g - p. What is the smallest value in -1, 3, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7684604700 to the nearest 1000000.\nAnswer: -7685000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*p**2 + 12*p**2 - 1 - 344*p**4 + 2 - 2*p + 2 + 347*p**4 to t*p**2 + v*p**3 + c*p**4 + g*p + w and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4107 (base 10) to base 15.\nAnswer: -133c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t - 34 + 37 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nvmgq. Give prob of sequence vqn.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1000 - 4?\nAnswer: -1004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - j**2 + 2. Let u(l) = 5*l**3 - 13*l**2 - 3*l + 18. Let y(o) = u(o) - 6*z(o). Let k = 8 + -14. Calculate y(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 z when three letters picked without replacement from {o: 6, v: 1, z: 2, f: 2, h: 5}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o = 99 - 135 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29673 and 3024?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y + 5 - 13*y**2 + 6*y**2 + 5*y. Let q(x) = -x**2 + x + 1. Let b(v) = 5*v. Let k be b(-1). What is k*q(r) + s(r)?\nAnswer: -2*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -452, -453, -454?\nAnswer: -455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 348840.4ml to litres.\nAnswer: 348.8404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25? (a) -2 (b) -114 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 68.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, -1\/2, -0.2, 54, -897, -21, 4?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u + 1. Let y be (-27)\/(-9)*(-1)\/(-1). Let n(w) = 0 + y - 4. Calculate 2*n(b) + t(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 383 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -101, -412, -929, -1652, -2581, -3716?\n\"Answer: -103*d**2 - 2*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*p = 72. What are the prime factors of 2144\/72 + (-4)\/p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44.23295 + -0.65605. Let q = -0.111 + g. Let z = 58.8 + q. What is z rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-2 + (0 - (7 - -1))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of k**6\/60 - k**5\/60 - k**4\/8 - k**3\/6 - 13*k**2\/2 + 4*k. Let c(s) be the first derivative of o(s). Calculate c(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86 - (0 + 72 + (-42 - -13)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 11*f**2 - f + 9. Let m be j(11). Let q(w) be the third derivative of w**4\/6 + w**3\/3 + w**2. Calculate q(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k**2 + 24*k + 20. Let l = -55 + 39. Let z be 4\/12*15*l\/10. Let y(v) = -v**2 - 8*v - 7. Let u(h) = z*y(h) - 3*a(h). Give u(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48*-3.2559\nAnswer: -156.2832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (35\/(-80))\/((-26810)\/(-3830))\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7859, 7863, 7881, 7919, 7983?\nAnswer: 8079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4587 and 15151.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 0)\/((0 + (-16 - -13))\/(21\/21))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 92, 0.5, -215\/2 in decreasing order.\nAnswer: 92, 4, 0.5, -1, -215\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55\/168 - 20\/21. Which is the smallest value? (a) 3 (b) d (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 3*v + 4*v)*(0*v**2 - v**2 + 0*v**2)*(3*v - 3*v - 20*v**2).\nAnswer: -20*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16995 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*((a\/a**(1\/4))\/a)\/a)**(-2\/9)*(a\/(a\/(a**(-6)\/a)))**(-4\/17))**(-25) assuming a is positive.\nAnswer: a**(-13025\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 5*o**2 + 5*o. Let f be q(-4). Let k be (-5)\/f - (-5)\/20. Let x be ((-6)\/(-20))\/(4\/(-10)). What is the biggest value in -5, k, x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7}. Give prob of picking 3 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 459*s**4 + 967?\nAnswer: 1836*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d = 3*g - 10*d - 5351, 0 = 2*g - 3*d - 3582. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**(2\/5)))**1*((j**(-1)\/j)\/j)\/(j*j\/(j**(2\/13)\/j)*j) assuming j is positive.\nAnswer: j**(-419\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/8)\/(8\/(16\/(-2)))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3*2*sqrt(400))\/(-5*sqrt(160)))\/((2*(sqrt(40) + 1*sqrt(40)))\/(sqrt(125)*4)).\nAnswer: 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-10)\/60 + (-78455)\/(-102).\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -t**4\/8 + 203*t**3\/24 + 17*t**2\/4 + 2259*t. Solve o(c) = 0.\nAnswer: -1\/6, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -15228, -15156, -14944, -14520, -13812, -12748, -11256?\n\"Answer: 12*v**3 - 2*v**2 - 6*v - 15232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*p = 3*w + 16, -4*p = 4*w - 24. Suppose -131*j + 30 = -146*j. What is the closest to w in -5, j, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 - 4 = -2*m. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 5283694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/(-300)*12\/30.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/5, 9, 1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*z**3 - 35*z**3 - 51*z**3 - 5*z**2 - 9*z**3 + 14*z**3 - 5*z wrt z?\nAnswer: -552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n + 9*n + n)*(2 + 2 - 5)*(0 + 0 + 2*n**2) - 2*n**3 + 2*n**3 - n**3 to the form m*n**3 + k*n**2 + l + s*n and give m.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/4 - 522*p + 90828.\nAnswer: 3*(p - 348)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9 + 12)*19\/1. Suppose 0 = -5*j + 3*n + 144, 4*n - 3*n = 2*j - d. What is the remainder when 25 is divided by 27*(-3)\/j*-3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -12. What is the third smallest value in 3, -4, 0.5, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3799242319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1462219 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rv when two letters picked without replacement from zzzszvzrrzsvzrzvv.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/b**(-1))\/b)\/b)**(4\/9)*(b*b*b**(3\/7)\/b)\/(b*b**(-1\/4)*b))**35 assuming b is positive.\nAnswer: b**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 559.248302?\nAnswer: -559.148302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 35 = 13*f, f + 1 - 2 = 472*h - 471*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1299 - -1946. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 4)*(0 + 0 + p**3) + 2*p**3 + 3*p**3 - 4*p**3 + 1 - p**3 - 1 + (-4*p**3 - 3*p**3 - 2*p**3)*(-1 + 3 - 3).\nAnswer: 11*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + -28. Let r = y - -3. Let z = 66 + r. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/30 and -29\/75?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10864 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**2*r**3 + 5618*o**2*r**2*w - 18*o**2*r*w + 6*o*r**3 - 8742*o*r - 20*r**3*w wrt o.\nAnswer: 2*r**3 + 11236*r**2*w - 36*r*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 - 24.13. Let d = -0.03 - w. Which is the closest to d? (a) -0.4 (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1728)\/(-48)*(-1)\/3 + 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72682383, -145364779, -218047177, -290729577, -363411979, -436094383, -508776789?\nAnswer: -581459197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 658*k - 14. Let w be h(4). Let l be 3 + 46599\/18 + 2. Let d = l - w. Find the common denominator of -35\/2 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -285680*s**3*t**3 + 5*s**3*t**2 + 2*s**3 - 12*s**2*t**3 - 4*s**2*t**2 - 6*s**2 + s*t**3 - s + 90*t**3 wrt s?\nAnswer: -1714080*t**3 + 30*t**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4}. What is prob of picking 2 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 25*a + 3 - 57*a + 5 + 24*a. Is 20 a factor of x(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 28 = -8*s. Is 2 a factor of (s\/2)\/((-2)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uf when two letters picked without replacement from {u: 1, f: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 49*y = -8986780. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2. Let h(y) = 46 + 20*y**2 - 46. Give h(s(l)).\nAnswer: 20*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2 + 8. Suppose 3*f + 2*y - 14 = 0, -6*y = -d*f - 4*y + 16. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 992847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crrrrrrcrorrrcr. What is prob of picking 2 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 330, 320, 328, 354, 398, 460, 540?\nAnswer: 638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a decade?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 153376, 613496, 1380394, 2454094, 3834620, 5521996, 7516246, 9817394?\nAnswer: 12425464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 + 0 = -3*x + 3*a, -401 = 5*x - 11*a - 336 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6240.85 + 22018843?\nAnswer: 22025083.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 4*b + c + 1461 + 1512 = 5*b + 3012, 3*c - 33 = 3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + l - 1. Let s(p) be the first derivative of 12*p**3 - p**2\/2 - 5*p + 35. Let m(x) = -s(x) + 5*z(x). Find the second derivative of m(d) wrt d.\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 81725.254?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178881 + 0*n**2 + 6*n**2 - 539739.\nAnswer: 6*n**2 - 360858","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, s: 1, x: 3, v: 4, k: 4, e: 1}. What is prob of picking 2 x and 1 s?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**3 - 3 + 3 + (-2 + 2*r**2 + 2)*(3*r - 4*r + 2*r) - 75*r**3 + 47*r**3 - 211*r**3.\nAnswer: -235*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*s**4 + 15*s + 1 - 15*s)*((-2 + 0 + 3)*(-2 + 4 - 3) + 2 - 1 + 1 + 3 - 1 - 1) to the form c*s + f*s**4 + z*s**2 + r*s**3 + v and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 3\/5*g**2 - 3\/5*g = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.40364 hours to nanoseconds.\nAnswer: 152653104000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 x when two letters picked without replacement from {x: 2, d: 1, a: 3, p: 2, r: 2, e: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 11106, 10812, 10518, 10224?\n\"Answer: -294*h + 11400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 749470263?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (-1)\/(2\/6). Let n be o - 3\/(1 + 0). What are the prime factors of 6 + 1\/(-2)*n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1345744 * 2\nAnswer: 2691488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -164.0121108 to one dp.\nAnswer: -164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 14*f**2 + 15*f + 15. What is n(14)?\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -3895 in descending order.\nAnswer: 2, -4, -3895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence memo when four letters picked without replacement from meoemmmommm.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-645 - -613) + 13 + -1 + -1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 3:45 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 226+-4.11\nAnswer: 221.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 30 = 2*l, 3*o - 5*l = -2*o + 50. Suppose -o*h - 6*i = -2*i - 6125, 4*h = 2*i + 4900. Is 86 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24049151 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 72\/(-154) - 8\/(-44). What is the third biggest value in -1\/8, 0.2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1106\/18 + 16\/(-36). Which is smaller: y or 71?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 12:28 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 562768 and 1360.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3037036.396 to the nearest one thousand.\nAnswer: 3037000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*x**4\/4 + 54*x**3 + 540*x**2 + 1728*x.\nAnswer: x*(x + 12)**2*(7*x + 48)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.24011 milligrams to nanograms.\nAnswer: 61240110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.5? (a) 2\/7 (b) 15\/4 (c) 1 (d) -0.1 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -202070994029 - 2.3.\nAnswer: -202070994031.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 4307?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 12*z - 26. Calculate y(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d - 40. Let n be h(11). Suppose 0*a + 34 = -2*a - n*x, -25 = 5*x. Let y be -15*(1\/(-3) - (-7)\/a). Solve z = 6*z + y for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-5757)*-13)\/(1200\/213120). Let h = 2\/1919 + f. What is the nearest to h in 77, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p - 2*p - 2*p)*(-p**2 - 3*p + 3*p)*(11 + 20 - 24 + 9*p).\nAnswer: -9*p**4 - 7*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 98965930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 21*i**3 + 1 - 23*i**3 - 4 + 3*i - 2*i**2. Is s(-3) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.886 - 0.264. Let g = 0.15 + i. Let v = g - -8.3. Is -1 >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-1440)\/(-900)*6\/(-8).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 806 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5026240 and 151420?\nAnswer: 2260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/353290 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u*u**7)))\/(u**9\/u) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 48415\/105) + (-4)\/(-42). Let u = v - -469. Solve 0*i - 6 = -u*i for i.\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) 0 (c) -0.1 (d) 19\/1859\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77330, 0, -5, 1 in increasing order.\nAnswer: -5, 0, 1, 77330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 299 - 286. What is the greatest common factor of b and 533?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 6*v + 2*v + 29, 3*v = -x - 3. Let k = -189 - -225. What is the greatest common divisor of x and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 + 6*l)*(0 - 2*l**2 + 0) + l**3 - l**2 + 0*l**2 + l + l**3.\nAnswer: -10*l**3 - l**2 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 59486 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8268 is divided by 197.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 11*q**2 - 2*q - 23. Let y be z(-11). Let p be (0 - y)*(1 - -6). Solve u + p = -2*w, -2*w + 14 = -4*u - 3*w for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/9 - 56776*t\/3 - 2896154\/9.\nAnswer: 2*(t - 85181)*(t + 17)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(1 - 0\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -7*r**4 - 6*r**3 - 6*r. Let w(a) = 15*a**4 + 13*a**3 + 13*a - 1. Let x(c) = 13*j(c) + 6*w(c). Differentiate x(g) with respect to g.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1\/o)**(-23)*o\/o**10*o**(-1)\/o)**(4\/41) assuming o is positive.\nAnswer: o**(-44\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -51953.79 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 418, 830, 1234, 1630?\nAnswer: 2018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1647575747 a multiple of 9312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 319 divide 28523704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*u - 2*v, -7*u + 3*u + 3*v = -15. Let k = u - -4. Solve -k*l - 3 = -23 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**4\/12 + i**3\/2 + i**2 - 2*i. Let c be k(6). Is (c - (-6)\/2)*3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25\/4? (a) -1\/4 (b) -0.5 (c) -0.2 (d) -522\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3390 - 3389. Which is the nearest to t? (a) 28 (b) 2\/5 (c) 0.2 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 (base 12) to base 3\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.013 - -81.987. Let s = p + -47. Let y = s + -34.9985. What is y rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**(1\/2))*y**(-2\/15))\/(((y**(-3\/2)\/y)\/y)\/(y*y\/y**(-6\/7))) assuming y is positive.\nAnswer: y**(706\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**4 + 1179*w**3 - 6993*w**2 + 10449*w.\nAnswer: -3*w*(w - 387)*(w - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(80) + -4)**2 + -3 + 2 + sqrt(5) + -4)*-3.\nAnswer: -261 + 93*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away -20458248?\nAnswer: 20458248.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d + 2*d + 7*d. Let n(p) = -p + 4. Suppose -5 = 5*a - 30. Let y be n(a). What is f(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 902\/6 - (3\/9 - 1). Let v = c + -149. Find the first derivative of -3*b**v - 2*b**2 - 12*b - 13 + 4*b**2 - b**2 wrt b.\nAnswer: -4*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1225\/3 + 1\/3*w**2 + 70\/3*w.\nAnswer: (w + 35)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 0 + 1\/120*t**6 + 0*t**5 - 2\/3*t**3 + 0*t**4 - 3*t**2 + 0*t. Find the first derivative of q(o) wrt o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 4, n: 6}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3299890567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1.49, 0.4, 5, -3\/7, 2\/57, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 2036. Let p(b) = -19*b. Give l(p(k)).\nAnswer: -19*k + 2036","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*q. Suppose q*t = 5*r + 2*t, 0 = -4*r - 4*t - 12. Let v(d) = r*d + 2*d - 2*d. Let s(j) = -j**2. Calculate v(s(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8\/20*-1*(4760\/16)\/(-17)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6901, -6896, -6889, -6880, -6869, -6856, -6841?\n\"Answer: z**2 + 2*z - 6904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(-4)*n*n)*(n\/(n**30\/n))\/n)**3)**(-10\/21) assuming n is positive.\nAnswer: n**(260\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 93*g**2*h**2 + 15896135*g**2*h - 306*g*h**2 - 2*g*h + 377*h**2 + 6*h wrt h.\nAnswer: 186*g**2 - 612*g + 754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03463 rounded to 3 decimal places?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 624071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -316 + 13*g**2 - 272*g + 316 - 28*g**2 + 11*g**2.\nAnswer: -4*g*(g + 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 + -25. Suppose 5*h + 15 = 8*h. What is the smallest common multiple of h and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 68614 and 18285631?\nAnswer: 36571262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2, 4*q - y - 15 - 15 = 0. Let i = -4 + q. Solve -7 - 8 = -5*o + l, -i*l + 24 = o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -2) + (-20 - 26) + 49 - 107?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12.88 + -13. Round a to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -29 - -36?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 13, 3 in increasing order.\nAnswer: 3, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 33963791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2. Let y(c) = -c + 3. Let k(o) = -4*o + 16. Let h(l) = -3*k(l) + 16*y(l). Give v(h(b)).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1296 divided by 288?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.125 + 0.075. Let j = s + 0.05. Suppose -o + 556*q - 552*q = -28, 0 = 4*q + 32. Sort o, -20, j in decreasing order.\nAnswer: j, o, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16375, -32633, -48783, -64831, -80783, -96645?\nAnswer: -112423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 10 = 6*k, 19 = -3*z - 5*k. Let -4 + 2*v**4 + 6*v**4 - 3*v**5 + 18*v**3 - 14*v - 5*v + 2*v**2 + 4*v - 6*v**z = 0. Calculate v.\nAnswer: -1, -1\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**7*w*w*w**(-3\/11)*w**(2\/13)*w*w*w\/w**(5\/6) assuming w is positive.\nAnswer: w**(-1675\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -25 + (47 - 27) - -27?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -320, -652, -1008, -1400, -1840, -2340, -2912, -3568?\n\"Answer: -2*v**3 - 318*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 (base 9) in base 10?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11464*v - 5740*v - 5719*v.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 21 - 4*i**3 - 22 + 5*i - i - 2*i + 2*i**2. Suppose 5*t - 6 = 3*l, 0 = 2*l + 93*t - 94*t + 4. Give f(l).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 640087249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1017039 is divided by 25412.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 620.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/4 + (-1100)\/(-176). Let g(l) be the first derivative of l**3\/3 - 3*l**2\/2 + 9*l - 22. Calculate g(s).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/12 + (-22)\/(-6) + -1. Let i = 221 + -220. Suppose -4*m - 2*n - 16 = 0, 3*n + n = -m - 11. Put i, m, f in increasing order.\nAnswer: m, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 128213827, 128213825, 128213823, 128213821, 128213819?\n\"Answer: -2*t + 128213829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -12110202021221 (base 3) to base 2\nAnswer: -1011000110000000100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*g - 2 = -q, 2*q = -2*g + 4. Sort 3, -30, g in descending order.\nAnswer: 3, g, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9211199.\nAnswer: 9211199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*a**3 - 23887*a**2 - 960828*a - 204795 = 0. Calculate a.\nAnswer: -1665, -41, -3\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -476\/5 + 95. What is the smallest value in r, 0.3, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p + 17*p - p**2 + 24*p - 1 - 6*p as z + i*p**2 + r*p and give r.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8950 is divided by 569.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*k + 387 = -7*k for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/4)\/(45\/(-12))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/100*(-13)\/(1170\/25)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4*(-4)\/(-8))\/1. Let y(a) be the first derivative of -1\/3*a**3 - 1 - 6\/5*a**5 + 9\/8*a**4 + 0*a + 5\/12*a**6 + 0*a**c. Suppose y(h) = 0. What is h?\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19 and 18 + (-79710)\/(-66474)*-15?\nAnswer: 3693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z + 8. Let a be s(4). Suppose -36 = -a*o + 4. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 4:20 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55423 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in 5, 2, -0.48, 340?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 8:37 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92\/(-6)*1*(-99)\/22 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114 divided by 38.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - 1 - 1) + (-178)\/(-2). Differentiate -18 + s*z**3 - 27*z**3 - 17 with respect to z.\nAnswer: 192*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 82 = -4*l, 31*l - 2*x - 119 = 36*l for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o + 2*o + 3*o + 0*o**2 + o**2 + 2. Suppose 0 = 3*k - 6*k + 93. Suppose 11 = -t + j, k = -0*t - 5*t - j. Determine p(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-3)\/(p*p**(-2\/35))*((p\/p**(-2\/11))\/p)\/p**4*(p**(-2\/3))**(-16)*p**(-2\/5)\/(p*p**(-8)) assuming p is positive.\nAnswer: p**(10979\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -204062923 by -3.\nAnswer: 204062923\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -5*b + 124, 94*s - 241 + 80 = b - 0 + 187 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 24, -4, 4 in increasing order.\nAnswer: -4, -2, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1152, 4568, 10224, 18090, 28136?\n\"Answer: -5*l**3 + 1150*l**2 + l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -5*w - 12. Let a(t) = 15*t + 37. Let o(m) = 4*a(m) + 11*y(m). Is 14 a factor of o(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 1763*n - 594. List the prime factors of q(6).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*u = 362022 + 103098. Does 136 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25994687.\nAnswer: 83, 107, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7848 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2484.59972 + 2485. Let w = n + -0.4. What is w rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 + h**2 - 6*h**2)*(70*h**2 + 53*h**2 - 40*h**2 + 13*h**2).\nAnswer: -192*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**8\/336 - 82*o**7\/315 + 16*o**6\/3 + 4877*o**5\/90 - 6641*o**4\/24 + 4205*o**3\/9 + o**2 - 2597*o. Solve l(t) = 0 for t.\nAnswer: -5, 2\/3, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7732, 7730, 7728?\nAnswer: 7726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8681640 is divided by 8681625?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*-1*sqrt(70)*-2)\/(((sqrt(810) + 1*sqrt(810) - sqrt(810)) + sqrt(810))*3).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t**(-2\/21)*t))\/t**4)\/(t*t**(14\/11)\/t*t*(t\/t**26)\/t))**(24\/7) assuming t is positive.\nAnswer: t**(36632\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83502142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 4*s + (0 + 2*s + 0)*(-2 + 1 + 2) + 5*s + 0*s - 4*s + 2*s + 3*s - 2*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 113815680 divided by -6?\nAnswer: -18969280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*d - d. Suppose d*g + 1323 = 5088. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44940 = 557*v + 1690*v for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one twentieth of a gram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 21, 57, 111, 189, 297, 441?\n\"Answer: v**3 + 3*v**2 + 20*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - c = -12. Suppose -2*t = c*t - 145. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6812482*d**4 + 4*d**3 - 58680828*d wrt d.\nAnswer: -81749784*d**2 + 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**2 + 2 + 7*d**2 - 9*d**2 + 3*d**2 - 7*d to the form o*d + x + g*d**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 3\/2, -0.5, -3, -3\/13 in ascending order.\nAnswer: -26, -3, -0.5, -3\/13, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3167 is divided by 39.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202620.\nAnswer: 2, 3, 5, 11, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 - 19*c + 23. Let y be v(8). Is y bigger than 1\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -1 - (-10 - -10) - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/31, 4, 11411\/2, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 59*a**3 + 182*a**2 + 22*a + 18. Determine x(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, -3578 in ascending order.\nAnswer: -3578, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of 6 + 0*z**4 - 2*z + 0*z**3 - 77\/10*z**5 - 91*z**2. Find the first derivative of w(s) wrt s.\nAnswer: -462*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*y - 6 = 4*a, 5*y - 16 = 3*a. Suppose -a*w + 51 = 14*w. Suppose -w*p + 338 = 4*h + 28, p = -5*h + 107. Is 23 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 13*f - 341. What is q(36)?\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 divided by 541591?\nAnswer: -85\/541591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*v + 34 + 14*v**2 + 3*v + 37 - 5*v**2 + 3*v in the form r*v + o*v**2 + f and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2375)\/(-57750) - 10\/(-105).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05234986 to five dps.\nAnswer: -0.05235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1696221.3 minutes to hours.\nAnswer: 28270.355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 184, -107, -10, -1 in ascending order.\nAnswer: -107, -10, -1, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u - 18*u + 370 = 0. Solve 2*h + 2*p + u = 6*h, -4*h + p = -15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 770476 and 14112.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 5*w + 21 + 44, -5*w = 4*f - 60. Let p be (0 - 4)\/(-1 + 0). Suppose p*v = 2 + 6. Solve v*h - f = -5*c - 3*h, c = h + 1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 23 = -4*a - 0*b, 5*b - 11 = 2*a. Let g be 1\/a*0*-1. Solve -5*p = -32 + 12, 4*z - p + 16 = g for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -h - 9. Is 7 a factor of (-19 - h)*4*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 6 - 5*p**2 - 7.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46877\/5 - -9377. Find p such that 12\/5*p + w*p**2 + 0 - 4\/5*p**3 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.9 + -54.1. Let x = v + 46. Let q = -8 - x. Which is the closest to q? (a) -5\/4 (b) 4 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 58 in -4, -2\/5731, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**5\/4 + 3*k**4\/2 - 17*k**3\/4 - 3*k**2\/2 + 4*k = 0?\nAnswer: -8, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*i**3 + 33*i**3 + 35*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -13.6. What is n rounded to 1 decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, g: 1, c: 3, d: 4, v: 3, r: 3}. What is prob of sequence rg?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 94*h**2 - 152*h**2 + 81*h**2. Let g(b) = 104*b**2. Give g(z(c)).\nAnswer: 55016*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s + 3. Let p(a) = 4*a + 11. Let q(t) = p(t) - 3*u(t). Give q(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/945 - 6\/15.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 0) + (-17)\/(17\/(-2732)). Suppose 30*o - 3178 = c. What are the prime factors of o?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127602 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by 1\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -1. Which is smaller: 4\/13 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12 (b) -44\/9 (c) -1\/3 (d) -84\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -x**5\/60 + x**2. Let h(t) be the third derivative of 33*t**2 + 0 + 0*t + 0*t**3 + 0*t**4 + 1\/60*t**5. Give i(h(r)).\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 greater than 120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 5.07. Round u to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**6\/60 - 3*u**5\/20 + u**4\/8 - u**3\/3 - 8*u**2. Let r be v(6). Suppose -16 = 4*q - r. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bn when two letters picked without replacement from {b: 1, k: 2, n: 4, s: 6}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t + 3*t - t + (-11 - 112 - 36)*(3 + 3 - 5)*(-3 - t + 3).\nAnswer: 161*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 321226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -4*i + 32. Suppose -i = 7*z - 9*z. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - s. Let c be (210\/28)\/(-15)*0. Give z(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, 289, 694, 1323, 2212, 3397, 4914, 6799?\nAnswer: 9088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 6)*2\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 296 = 5*r - 934, -1013 = -4*r + 5*a. What is the remainder when r is divided by 81?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 9:19 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10196, -9944, -9528, -8948?\nAnswer: -8204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 30 (b) 2\/65 (c) 1.38 (d) -1.7 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 - 3\/2*a**3 + 3\/2*a - 3.\nAnswer: -3*(a - 2)*(a - 1)*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 5:53 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 288072 and 288050 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 3*l**2 + 17*l - 12. Suppose 6*h = -549 + 513. Let o be s(h). Let c(i) = i**2 + 9*i + 3. Determine c(o).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 3*o**2 - 12*o - 9. Determine d(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 5:46 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 13*l**2 - 97*l - 12. Calculate the remainder when 526 is divided by t(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -0.2, 0.1, 5\/4, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -343\/9 - -2551\/63. Find the common denominator of 103\/(-18) - (1 + -3) and z.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 10 = 0, -2*h + 31 = 2*c - 33. Let p = 33 - h. Does 2 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4\/7 + 60*j**3\/7 + 384*j**2\/7 - 1024*j\/7.\nAnswer: 2*j*(j - 2)*(j + 16)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) - (sqrt(1100) - sqrt(1100)*-2))*6 + 1*(-1 + sqrt(11)) + 5)**2*-3.\nAnswer: -467361 + 2856*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*c + c + 220. Let d be 33\/c + 41\/2. Is 19 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 353, -5, 134, -2, 4, -12 in increasing order.\nAnswer: -12, -5, -2, 3, 4, 134, 353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82110 divided by -42.\nAnswer: -1955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11623 and 2955.\nAnswer: 174345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 23 + 15 = 0. Suppose 0*y - 2*y + l*q + 216 = 0, 309 = 3*y - q. Is y a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - 3, -5*m - 2526*n - 45 = -2521*n for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = 6*q - 2*q. Let u(j) = 2*j**2 - 30*j**3 - 32*j**3 + q*j**3. Is 16 a factor of u(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kbb when three letters picked without replacement from {b: 15, k: 4}.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r + 6. Let c be d(-3). Suppose c = -8*z + 3*z + 80. Is z a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/2214 + 1414\/1107. Let s = -13580 - -26663. Calculate the common denominator of k and (-1)\/2*0 + s\/(-2670).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 25\/4 of a milligram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 19\/4 of a century?\nAnswer: 5700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) - sqrt(56)\/sqrt(7))\/sqrt(4))**2*6 + sqrt(18)\/(1*sqrt(81) + sqrt(9)).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.91 + 0.47. Let y = -0.436 - c. Let a = y + 1.996. Sort -0.02, a, -0.2, 0.4.\nAnswer: -0.2, -0.02, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 424 + 417 = 5*n, -4*n + 671 = -v. Let h = n + -115. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 20*h + 3. Let x be p(7). Suppose c - 145 = 4*u - 706, 0 = -c + 7. Which is greater: u or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*h + 52*h - 237*h + 48*h - 19 + 105*h.\nAnswer: 4*h - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v**2 + 12*v**2 - 2*v**2 + 9*v**3.\nAnswer: 9*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1505)\/129)\/(7\/(-3)). Solve -4*p + 1 = g, 4*p - n = 9*p - 5*g for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2. Let t be (-6)\/(-15) + (-26)\/(-10). Let g(b) be the third derivative of 0*b + 1\/8*b**4 + 0*b**t + 2*b**2 + 0. What is g(m(h))?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/171947 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19 + 27 - 101)*(0 - 8 - 2)*(0 + 2*k**2 + 0)*(0*k + k + 0*k) to the form i*k**2 + q*k + t + b*k**3 and give b.\nAnswer: 1860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**8\/1680 - s**5\/20 - 7*s**3\/6 + 6*s**2. Let y(h) be the first derivative of m(h). Find the second derivative of y(o) wrt o.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96807 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112634016.\nAnswer: 2, 3, 11, 106661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/184097527?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -26870 - -959.106992\nAnswer: -25910.893008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1204785*i**2 + 204969*i wrt i?\nAnswer: -2409570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 107382\/42 - (2 + 16\/(-7)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, u: 1, k: 2, y: 2, a: 2}. Give prob of picking 1 k and 2 y.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a - 165*a**2 + 0*a + 169*a**2 wrt a?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 188 = -5*j - 27, 0 = -2*i + j - 89. Which is greater: i or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82 and 74?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 248*d**2*k + 4*d**2 + d*k - 257*d - 7*k + 92298 wrt d.\nAnswer: 496*d*k + 8*d + k - 257","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 149689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a microgram in nanograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-18) - -2 - (-1274)\/(-2205)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19 times 0.43?\nAnswer: 0.0817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 861218.25 to the nearest one hundred.\nAnswer: 861200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69512 is divided by 449.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17811769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1830 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -4*q - 4*u, 3*u - 45 = -2*q + 8*u. Solve -4*l = l + q for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1\/d)**10*(d**(1\/3))**(9\/4) assuming d is positive.\nAnswer: d**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1)**(-1)\/((f\/f**(-9))\/f*f**(-12)))**(1\/30) assuming f is positive.\nAnswer: f**(1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1053 + -1048. Which is the third biggest value? (a) 0.6 (b) m (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/18 + (-2)\/9. Let i be 4 + 1 + -4 + -3. Do m and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 51 - 125. Let x = -23 + y. Is x a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e5a328 (base 15) to base 12.\nAnswer: -37a6932","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 5*l**2 - 196*l - 1176. Give o(-6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y + 5*y + 15*y - 2*y + 2.\nAnswer: 23*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 214776268 divided by 2653.\nAnswer: 80956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72 + 74. Suppose 4*o + 4*n - 32 = c*n, -16 = -4*o + 2*n. Let z be o + -5 - (-2 + 41). Is z greater than or equal to -36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/292, -4 in descending order.\nAnswer: 1\/292, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*k + 19*k - 281 + 281.\nAnswer: -127*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - 0)*(-6)\/(-18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -2\/7, 744\/5, 0, -4, -6?\nAnswer: 744\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**2 + 6*s**2 + 10 - 10 as l*s**2 + t + q*s and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8675, 17437, 26377, 35585, 45151, 55165, 65717?\n\"Answer: 15*w**3 - w**2 + 8660*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + p - 41 - 141, h + p - 47 = 0. Let x = 217 + -181. Calculate the highest common divisor of h and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167579 + 4845 - 67429 = 4513*o for o.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 35700 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4*p - 4*p + 2*p)*(2 + 3 - 6) + p + 5*p + 5*p)*(2 - 3 + 4)*(-2*p - p + p) in the form r*p + d + f*p**2 and give f.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 2*v - 5 = 0, 4*f + 11*v = 13*v + 30 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24.6744*47.\nAnswer: -1159.6968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 462 and 528.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/(-10))\/((-1)\/64). Calculate the highest common factor of j and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -43*x + 48. Suppose k + g - 1 - 6 = 0, 0 = -3*k - g + 19. Suppose 60 = k*i - 2*i. Calculate the remainder when i is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)\/(sqrt(12)\/sqrt(2)) - 5*sqrt(27)) + -4)**2.\nAnswer: 112*sqrt(3) + 604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3856067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 33, 88, 143, 198?\n\"Answer: 55*z - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 0*h + 8 + 2\/25*h**5 + 0*h**2 + 0*h**4 - 8\/15*h**3. Factor i(b).\nAnswer: 2*b**2*(b - 2)*(b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 2*k - 948, -5*j = 3*k - 622 - 1788. What are the prime factors of j?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t\/(t**(-37)*t*t)))\/t)\/t)\/t)**28*t**(15\/7)\/t*t*t**7 assuming t is positive.\nAnswer: t**(-7384\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 1 + 13 = 0. Let r(c) = -c - 6. Let j be r(-7). Let n(m) = 37*m - 217. Let t be n(6). Sort u, j, t in decreasing order.\nAnswer: t, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 82\/3 + -27. Let l = 561.83 + -556.83. Which is the nearest to g? (a) 1 (b) l (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.016 plus -18?\nAnswer: -18.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, -7, -9740?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56741?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -2088, 5.2, -128 in decreasing order.\nAnswer: 5.2, 3\/7, -128, -2088","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 80131 times -83\nAnswer: -6650873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/11))**9 assuming a is positive.\nAnswer: a**(-18\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-205)\/246)\/((-21)\/(-2))*-2*(-15)\/25.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 17664 + 14756 = -0*x. What is the highest common factor of x and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -118612\/21 - -5644. What is the common denominator of c and 149\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 7:15 AM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 549683?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((3 + sqrt(396) + 0 - sqrt(396)) + -5*(sqrt(396) + 0)) + 5)**2.\nAnswer: -3000*sqrt(11) + 247600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 2. Let a(c) = 2*c - 3*c - 6 + 18. Let o be a(15). Is l bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-1)\/(-18)*3 - (-6441)\/18) + -8 is divided by 141?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 104553 and -43.\nAnswer: -4495779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 932824357?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1140.647697s?\nAnswer: 0.0018859915625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 r when two letters picked without replacement from {d: 3, l: 1, i: 2, w: 4, x: 2, r: 3}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -63*d**2\/2 - 13*d + 2. Let g be i(7). Let h = g - -9536\/21. Which is greater: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**19\/c)\/c**(-18)*c\/(c\/((c**5\/c)\/c)*c)*c**(-21) assuming c is positive.\nAnswer: c**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3188259 is divided by 2023.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.27 to 0 dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5993*c - 76917 - 152553 = 131549 + 28526 for c.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 + -185443412?\nAnswer: -185443410.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -65265.2385 rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 8:49 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72 + -36. Let m(x) = x**3 - 21*x**2 - 10*x - 12. Let p be m(22). Calculate the greatest common factor of p and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 8 = -0*c, -4*o - 4*c = -60. Calculate the least common multiple of o and 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -8*k + 91. Calculate the least common multiple of k and 32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o. Let f(k) = -114*k**2 + 95*k - 95. Let v(q) = -3*q + q**2 + 2*q - 188 + 189. Let w(h) = -f(h) - 95*v(h). What is w(d(a))?\nAnswer: 76*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*b**3*k*n**3 + 10*b**3*k*n - b**3*n + b**2*k*n**2 + b**2*k*n + b*k*n**3 + b*k*n**2 wrt b?\nAnswer: -48*k*n**3 + 60*k*n - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**5 - 6*g**4 + 6*g**2 + 3*g = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10611058*z**4 - 484846?\nAnswer: 42444232*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 5*w = 37, -w - 4 = -97*i + 100*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1992 times -0.22?\nAnswer: 438.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*z + 8 = 2*z, -2*i = 4*z - 38. Let a(f) = -f**3 + 8*f**2 + 9*f + 6. Determine a(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 72 - 62. Solve -31*s + 26*s = -a for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 6*u**3 - u**2 - 2*u + 239. What is the derivative of m(r) wrt r?\nAnswer: 36*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*y + 3*t + 17, t = y + 7. Let z(m) = m**3 + 10*m**2 + 8*m - 7. Let p be z(-9). Suppose -p*o = o. Sort o, y, -12, 5 in ascending order.\nAnswer: -12, y, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.031 from -255766.\nAnswer: -255763.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, z: 15}. What is prob of sequence znzz?\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7*y**2 - 6*y + 14. Let k(n) = -3*n**2 - 3*n + 7. Let c(v) = -2*i(v) + 5*k(v). Give c(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 6*h**3 + 183*h**2 - 136*h - 1324. What is x(-31)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*3\/10*(-16)\/(-24)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 716 (base 11) to base 14\nAnswer: 45a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 401, 308, 61, -418, -1207?\n\"Answer: -13*u**3 + u**2 - 5*u + 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wswss. Give prob of picking 1 s and 1 w.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-3) + 157\/(-3). Let z = 98 + -31. Let f = w + z. Solve f = -4*k, 3*r + k = -2*r - 19 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-6 + 6)) + -1 + -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of k**4\/12 - k**3\/6 + k**2 + 4*k. Suppose -3*v = -0*j + 2*j - 15, 9 = 2*j + v. What is the units digit of l(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4714025 to 3 dps.\nAnswer: -0.471","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/3)*y)\/y*y\/y**(-2\/5)*y**(-5)\/y**(-1\/7))**(22\/9) assuming y is positive.\nAnswer: y**(-6446\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -200*k**2 - 5*k + 6. Let p be a(8). Let g = p - -26227. Suppose 5*t - g - 26607 = 0. Round t to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 + 3*m**2 - m**2 + 2507*m**3.\nAnswer: 2507*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.9509 rounded to 1 dp?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p. Let c(g) = -50*g - 106. Give -c(f) + 12*w(f).\nAnswer: 2*f + 106","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 84269948 rounded to the nearest 100000?\nAnswer: 84300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*a + 4243 = -362*a + 1083 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/12 - 1*13\/52. Factor t*v**2 + 0 + 1\/2*v.\nAnswer: v*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) + (-1 + sqrt(475) - sqrt(475)))*-6 + sqrt(475) - (-5 + 0 + sqrt(2299)))**2.\nAnswer: -792*sqrt(19) + 24745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.15081 to three dps.\nAnswer: 0.151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 48\/5 - 3\/5. Calculate the common denominator of 2385\/60*1\/12 and (-3)\/m + 578\/(-120).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1912434210?\nAnswer: 2, 3, 5, 17, 179, 6983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37430, 74860, 112288, 149714, 187138?\nAnswer: 224560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4153408937.\nAnswer: 41, 101302657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 3, -85, 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -161 (c) -2\/1179\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(-15*l + 75 - 75)*(2 + 0 + 0)*(0 - 4 + 6).\nAnswer: 60*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -2928.4?\nAnswer: 2928.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.3, 22?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3440 - -3440.4. Let z = 2 - 3. Put -1\/2, i, -0.4, z in ascending order.\nAnswer: z, -1\/2, -0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 - 28. Calculate the remainder when 58 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k - 9. Let j be m(-7). Let o = j - -1. Which is the second smallest value? (a) o (b) 1\/4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - x = -5*p - 47, -2*p = -5*x + 53. Calculate the common denominator of x\/(-12)*111\/18 and 1\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*b = -47*b - 16. Let n = b - -5. Suppose -3*k + 117 = -n. Is k a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1429.59 and -396258627.\nAnswer: -396257197.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 4:33 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -33\/10, -12, 36\/25, -2\/289?\nAnswer: 36\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 m when four letters picked without replacement from gamffgggfgzzegzgea.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 309425, 618757, 927887, 1236713, 1545133, 1853045, 2160347, 2466937?\n\"Answer: -17*m**3 + m**2 + 309448*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -63440?\nAnswer: -63442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/193248 and 135\/2818816.\nAnswer: 1547529984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*y + 287 = -z, 23*z = 28*z - 31*y + 29*y + 2 + 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2 + 6*m + 4. Let q be j(-4). Suppose z = 16 - q. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8b568 + -5?\nAnswer: 8b563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-33539*l**2 - 1 + 1 + 33114*l**2)*(3*l + l - 3*l) to the form o*l**2 + w + d*l + v*l**3 and give v.\nAnswer: -425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.085 + 3.085. Put p, -5, -0.3, -4\/3 in increasing order.\nAnswer: -5, -4\/3, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, t: 1, f: 3, h: 1, b: 2, l: 3}. Give prob of sequence ffbf.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2 - 3 + 3 - u + 18. Let j(s) = s - 15. Let l(b) = -4*h(b) - 5*j(b). Let r be l(8). Solve 5*x = -5*g - 40, 0*g + 20 = -2*x - r*g for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a hour in minutes?\nAnswer: 1230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 911, 64, -795, -1672, -2573, -3504, -4471, -5480?\nAnswer: -6537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of f**6\/6 - 103*f**5\/4 + 1240*f**4 - 13440*f**3 + 8*f + 668. Factor s(j).\nAnswer: 5*j*(j - 48)**2*(j - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28935.\nAnswer: 3, 5, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 4. Suppose h*d - 15 = -3. Suppose -r = 2, 0 = -4*s + d*r + 12 + 28. What is the greatest common factor of s and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/35)*v**(-7\/8) assuming v is positive.\nAnswer: v**(-253\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1355, -5, 4, -4, -2\/23, 4\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (469\/(-201))\/(-2*1\/6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/107 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*d**3 + 34*d**2 - 34*d**2 + (-3*d**2 + 0*d**2 + 2*d**2)*(1 - d - 1) - 2*d**3 + 0*d**3 + 3*d**3 - 4*d**3 - 3*d**2 + 3*d**2.\nAnswer: 17*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12682 and 1462.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 83 - 85. Let b(v) = 3 - 5 + 0 - 10*v. List the prime factors of b(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i - 3. Let b be n(-8). Let r be -2 - (-4 + (-35)\/b). Let t be (-2 + 0)*r\/(-45). What is the closest to 0 in -3\/5, t, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-208)\/(-12)*((-50)\/4 + 14). Calculate the highest common factor of f and 7306.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 8*l + 10. Calculate d(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 12:45 PM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1592 and 194598916?\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -6*q - 25. Determine f(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23998814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1153353961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24146, 24156, 24188, 24254, 24366, 24536, 24776?\nAnswer: 25098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/3 - 6814*z**2\/3 - 84952*z.\nAnswer: 2*z*(z - 3444)*(z + 37)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence esk when three letters picked without replacement from {u: 1, e: 1, p: 3, y: 2, s: 3, k: 2}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 54 = -3*w - 35, -10 = -10*w + 4*p for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -378 * 4.8\nAnswer: -1814.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -125*s**4\/24 - 6*s**2 + 153*s + 1. Let d(g) = 0*g + 0*g + 2*g + 0*g. Calculate d(u(y)).\nAnswer: -250*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*q + 6. Let p(m) = -m - 4. Let a(z) = -2*z - 9. Let s(g) = 27*g + 1463. Let t be s(-54). Let l(n) = q*a(n) + t*p(n). Determine l(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -15982, -4 in descending order.\nAnswer: -4, -18, -15982","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 6*u**2 - 7*u + 9. Let i be p(5). Let s be i*(4 + 4\/(-4)). Put s, 0, 1 in descending order.\nAnswer: 1, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*n**5 - 285*n**4\/2 - 75*n**3 + 120*n**2 + 111*n + 45\/2 = 0. What is n?\nAnswer: -3, -1, -5\/8, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/4 + 407*m\/4 + 6095.\nAnswer: -(m - 460)*(m + 53)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 8 = b, 0 = 6*z - 37*b + 34*b - 39 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 2*m - 9 = 0, 5*z + 979 = -5*m + 1009 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -763111498559 + 15.1?\nAnswer: -763111498543.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 920380.1 millimeters?\nAnswer: 920380100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3*(3 + sqrt(5)) + -6*(sqrt(80) + sqrt(5)))**2.\nAnswer: 594*sqrt(5) + 5528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 2*c**2 - 2*c - 2. Let y be l(-2). Let b = y - 0. Is -2 - b*(-7 - -3) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 11*y - 10. Let b be w(-8). Suppose h = -3*j + 9, -2*j = -3*h + 2*j + b. What is the lowest common multiple of h and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 7 + 18*y**2 + 197*y**3 - y - 67*y**3 - 66*y**3 - 65*y**3. What is c(18)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -20. Sort k, -5\/2, 8 in decreasing order.\nAnswer: 8, -5\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + -88 + 42 - -6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8285*s - 30 - 8275*s + 30.\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-10))\/((1\/(-2))\/(-1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1224\/(-918)*18\/26.\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 s when four letters picked without replacement from sssssssysssyssssyys.\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 609960 and 3128.\nAnswer: 609960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.09? (a) 0.4 (b) -75\/4 (c) 777\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(102) - 4*-1*sqrt(102)) + sqrt(102))\/sqrt(6) + 3)*2.\nAnswer: 6 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*t**3 + 11*t**3 - 18*t**3)*(2 - 3 + 38).\nAnswer: -1110*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -121.705859 * 0.2.\nAnswer: -24.3411718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 839 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 8:02 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1893 divide 254779233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 20\/95024843?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.53 + -2.47. Let r be (-2)\/(-8) - (-3)\/(-2). Which is the nearest to 2? (a) r (b) g (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -38. What is the highest common factor of 23 and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 4:20 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -26050 smaller than -26058?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -62.944 - 0.056. Let g = 368096.246 - 368159.2459918. Let p = g - j. What is p rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008460003 to 6 decimal places.\nAnswer: -0.000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 209.9 - 210.3. Let s = -0.2 + -3.8. Sort m, s, -0.1 in descending order.\nAnswer: -0.1, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/23501 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vta when three letters picked without replacement from {m: 2, a: 2, h: 1, f: 1, t: 6, v: 3}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence geeu when four letters picked without replacement from {e: 5, g: 3, u: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 44, 69, 110, 167, 240, 329?\n\"Answer: 8*b**2 + b + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 117694*t**4 + 90*t**2 - 11*t + 216350.\nAnswer: 1412328*t**2 + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 17*m - 1 + 2 in the form f + c*m and give c.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/4? (a) -6707 (b) 3 (c) 0 (d) -3 (e) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 75640 divided by 3?\nAnswer: 75640\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3499136714.\nAnswer: 2, 1749568357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - h - 211 + 243 = 0, -48*n - 1306 = -2*h for n.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 3*n + 63. What is y(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13825 and 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -9*s + 21. Let j(q) = 2*q - 5. Let g(o) = 5*b(o) + 21*j(o). Let z(d) = -2*d - 2. Let c(m) = -35*m - 60. Let x(p) = c(p) - 30*z(p). Calculate g(x(r)).\nAnswer: -75*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19 + a76b?\nAnswer: a785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 1\/2, -3.9, 7\/8.\nAnswer: -3.9, 2\/13, 1\/2, 7\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4680507 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 1)*(37 - 46 - 77)*(-5 + 5 + 2*g)*(-5*g + g + 2*g) to the form w*g**2 + k*g + v and give w.\nAnswer: 1032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 4946096.\nAnswer: 3\/4946096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b*b*b\/b**(-1\/9)*b)\/b**(-10\/7)*b\/(b\/b**(2\/65))*b**(2\/39) assuming b is positive.\nAnswer: b**(31211\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1447429456485.84 less than -0.1?\nAnswer: -1447429456485.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 35*m**2 + m + 28. What is t(-35)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14057*u**3 - 108660*u**3 - 40701*u**3.\nAnswer: -135304*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 799? (a) -0.3 (b) 3 (c) 0.1 (d) -2 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((8\/3)\/4)\/((-26)\/39). Is -7\/15 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3551 + 3550. Are g and -1\/751 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -4*u + 71. Let d be r(15). Let c(t) = d + 21*t**2 - 19*t**2 - 11. Let q(y) = -5*y**2 - 2*y**2 - y**2. Calculate c(q(p)).\nAnswer: 128*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 20.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7948 + -7953. Which is greater: q or -0.715?\nAnswer: -0.715","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99803?\nAnswer: 11, 43, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.8 and -55.573102422.\nAnswer: -54.773102422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 54 = 3*p. Let m be (6\/2)\/(p\/(-24)). Which is the third biggest value? (a) m (b) -0.1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -0.2, -1, -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1417428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 293.041 + -0.041. Let h = -292.7 + o. What is the third biggest value in -5, 5, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -u - 2*m, u = m + 7 - 4. Suppose -4*t + u*t + 16 = 0. Let r be (-3)\/t - 650\/760. What is the third biggest value in 5, 0.14, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 8*b - 31 - 13 = 2*u, -34*u + 46*u - 3*b = -324 for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 66*i**2 - 61*i**2 - 52*i**2 + (1 - i - 1)*(i + 2*i - i).\nAnswer: -49*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (4 - (1 + 1))) + -169 + 171\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 76056\/(-2)*355\/(-15). Let c = 95 - 88. Suppose l + 180001 = -a, 3*a - c*a + j = -5*l. Round l to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35*(-62)\/(-3255))\/(2\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/75480 and -77\/17760.\nAnswer: 301920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 4*b = 63. Let c be ((-7)\/(b\/(-9)))\/1. Solve 10 = c*j + 2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 2568281314024?\nAnswer: -2568281314024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of r**8\/30240 + r**7\/11340 - r**6\/1620 + 7*r**4\/24 + 4*r**2 - 3. Let b(q) be the second derivative of t(q). Factor b(x).\nAnswer: 2*x*(x - 1)*(x + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 - (55 + -39 + -1 + 150)?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - 144*k**3 + 0*k + 8*k - 7*k.\nAnswer: -144*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6706979 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-1 + 237\/9)*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 5*h - h)*(-3*h**3 + h**3 + 15*h**3 + (-h - 3 + 3)*(0*h**2 + 5*h**2 - 3*h**2))*(3 - 1 - 3).\nAnswer: -22*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.3556136mg?\nAnswer: 355.6136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (4198*k**2 + 2343*k**2 - 1 + 1)*(-5 + 3 - 1) in the form f*k**2 + y*k + u and give f.\nAnswer: -19623","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 182320000 to the nearest one million.\nAnswer: 182000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + 2 - 2)*(4*o**3 - 2*o**3 + o**3) + 10*o**5 + 97*o**4 - 9 - 97*o**4.\nAnswer: 16*o**5 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + g - 262 = 0, 2*g + 113 = 4*z - 105. Let w(t) = 160*t + 50. Calculate the remainder when w(2) is divided by z.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(2\/3))**(-14))**(-2\/115) assuming d is positive.\nAnswer: d**(28\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -6*o**3 - 5*o**2 - o - 5. Let k(r) = -12*r**3 - 11*r**2 - 2*r - 11. What is -6*k(i) + 13*x(i)?\nAnswer: -6*i**3 + i**2 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, -20, -106, -282, -578, -1024, -1650?\nAnswer: -2486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*b = 422 + 369 - 116 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 513*y + 2910. What is the hundreds digit of m(53)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -150 + 595. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51567757 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -494 - -494. What is the smallest value in c, -14, -3?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/117711 and -56\/3509.\nAnswer: 1294821","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 59389 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 369803443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-1))**0\/(w\/(w*w\/(w*(w\/(w*w**(-1)\/w)*w)\/w))*w*w\/w**(-1)*w*w)*((w\/(w*w**(-1\/5)))\/(w\/w**1*w))**(6\/7) assuming w is positive.\nAnswer: w**(-269\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1737667\/56 - 31028. What is the common denominator of 50\/(-12)*9\/(-120) and m?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17664\/5, -5, -2 in descending order.\nAnswer: 17664\/5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4256140.\nAnswer: 2, 5, 7, 43, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -316664.7199855 - -316664. Let t = 103.72 + -103. Let w = t + u. Round w to 6 decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 735868 to the nearest integer?\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*q + 44*q - 1944 = 0. Calculate the least common multiple of q and 32.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 8 - 13 + 8 + 7*a. List the prime factors of u(9).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4627?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 77379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 146 - 2?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 d when two letters picked without replacement from {d: 4, w: 1, l: 5, m: 2, n: 1, y: 2}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 1 - (28 - 24)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*i - 10 - 177, -5*i = 2*c - 133. What is the smallest common multiple of c and 88?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/35? (a) -1 (b) 2\/35 (c) 1\/2 (d) -3 (e) 1 (f) 6\/377\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1118 is divided by 371.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 104819731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 7) + (8\/6)\/(6\/117)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -y**3\/3 - 3*y**2\/2 + 2*y - 15. Let q = -8 + 12. Let w(a) = a**3 - 5*a**2 + 3*a. Let g be w(q). Determine i(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 h when three letters picked without replacement from huhbvb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.5876 weeks in minutes?\nAnswer: 86563.008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkkqxkxqkbbbbxmbm. Give prob of sequence mb.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is -4146 + 1606?\nAnswer: -2540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 155a6a0 (base 13) in base 11?\nAnswer: 395899a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -12.1\nAnswer: -1.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + f - 1. Let x be w(2). Let o = x + 5. Let u = -2 + 6. Solve -4*n - 4*v - 12 = 0, 0 = o*v - 4*v + u for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -1945*g + 691. What are the prime factors of i(-16)?\nAnswer: 13, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/9935244 and 139\/27999324?\nAnswer: 307992564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4*p**2 + 23*p - 46. Let l be m(-7). Let c(z) = -3*z - 1. Determine c(l).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 5*b + 4. Let a be o(4). Suppose -21 = -8*s + s. Let f be 48\/(-8) - 1 - -7. Solve a*c - s*c = f for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -225\/22, -5, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 3*u**4\/8 + 15*u**2. Let r(v) = 2*v**3 - 1. Let p be r(1). Let b = p + -2. Calculate o(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n**3 - 11*n**2 - 9*n - 7. Let r be t(-4). Suppose r = -i + 94. Let q(g) = g**2 + 4*g + 5. Calculate the remainder when i is divided by q(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -843131*m - 3*m**2 + 843134*m - 3*m**3 + m**3. Let w(t) = -t**3 - t**2 + t. Suppose 4*a - 3 = -5*q + 2, 0 = 4*q + 5*a - 13. What is q*w(g) + u(g)?\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/9 + 2\/(-15))*3. Let v = -8.7 - -8.3. What is the biggest value in -1\/3, -1, v, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -3. Suppose 5*u - 41 = 3*x, -2*x + 19 = -7*x - 4*u. Let b = -7 - x. Solve -2*m + 5 + l = b for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v. Let q be y(3). Suppose 3 = -5*p - 2. Let d = 0.01 + 3.99. What is the nearest to p in q, d, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5956242 - -7884.\nAnswer: 5964126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 27.2050761 - 449\nAnswer: -421.7949239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -22 + -1 + (-2 - -6) - -2\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010 + -1100011001111001?\nAnswer: -1100011001001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -237, -339, -617, -1161, -2061?\nAnswer: -3407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 3 = -2*w - 2*x + 3, -18*w + 5*x = -506*w - 2 + 32 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1697 + 1181. Let s = z - -727. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 40*b + 269. What is the hundreds digit of w(-55)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 229\/114660 and 97\/124020?\nAnswer: 6076980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven eighths of a gram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -113*j**2 - 1935*j - 84. What is b(-17)?\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*h + 26*h = 12. Let d(y) = 2*y**3 + 12*y**2 + 2*y + 19. What is the remainder when 46 is divided by d(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -1\/24*j**4 - 3\/40*j**5 - 2 + j**2 + 0*j**3 + 0*j - 7\/240*j**6. Let q(w) be the second derivative of m(w). Solve q(t) = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - -11) + 4 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**3 - 4937*g - 4857*g + 9794*g.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l - 4. Let o be r(6). Let p = -105\/2 - -54. Is p < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - 3\/(3 + 0). Let x(f) = -4*f + 11*f**2 + a*f - 2*f - 2*f. Let m be -5 + (-7 + 1)*7\/(-21). Let b(n) = 4*n**2 - 3*n. Calculate m*x(w) + 8*b(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202000110100 (base 3) to base 9.\nAnswer: 660410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -891, -2076, -3247, -4398, -5523, -6616?\nAnswer: -7671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3553032ms in seconds?\nAnswer: 0.0003553032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b**2 + 0*b**2 + b**2)*(2*b - 2*b - 2*b)*(-4*b + 2*b + 0*b) to the form f*b**3 + c*b**2 + v*b**4 + h*b + j and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8858078 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -11. Suppose -x*r + 50 = -37. Let i = -21 + r. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -10. Let t(o) be the first derivative of -6*o**2 + 3 + 4*o + p*o**2 + 0*o**2. Differentiate t(i) wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(5))*5 + 4 + (5*(sqrt(60) - (3*sqrt(60) - sqrt(60)) - sqrt(60))\/sqrt(12))**2.\nAnswer: 5*sqrt(5) + 509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 25*k**2 - 633*k - 84. Is 117 a factor of r(33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-931)\/76*(-64)\/112.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 378*l**2 + 2334*l + 6160. What is d(-384)?\nAnswer: -5360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-5 - 3 - -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6664)\/588)\/((-782)\/12).\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttt when four letters picked without replacement from ttttttbttb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(816))\/sqrt(3))**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2 - 2282*v - 40439. Calculate s(-18).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 26\/5 (b) 4 (c) 9254\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 273\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 146050 and 9405620?\nAnswer: 47028100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 80 in 1\/4, 1, -4, 5\/6, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9740 * -4.025.\nAnswer: 39203.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.7 - 2.9. Let f = 1.24 + -0.14. Let x = b + f. Sort 0.2, 0.5, x in increasing order.\nAnswer: x, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -5306*o**2 + 1. Let c(f) = 7*f. Give m(c(k)).\nAnswer: -259994*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 + 1. Let a be v(1). Suppose 0 = 2*b + 3 - a. Solve -3*h + 4 - 10 = b for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/10)\/((-3)\/(-15)). Suppose 3*d - 23 = 5*y, -t*d - 3*y + 3 = -6. Solve d*w = w - 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 8 = 3*d, 3*d = -2*a + 2*d + 4. Suppose 3*f = 4*k + 21, -4*f + 26 + a = -5*k. What is the greatest common divisor of f and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2543.\nAnswer: 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-144)\/162 - (-2)\/(-18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 5\/13579?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i\/(i**(4\/7)\/i)))**(-8\/3)*(i*i**(-2\/5))**(-8\/19) assuming i is positive.\nAnswer: i**(7096\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.11, 1\/6, 5, -0.1, -122 in decreasing order.\nAnswer: 5, 1\/6, 0.11, -0.1, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does -1.47 = 2\/15257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of b**2\/2 + 34*b - 3. Is i(0) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3721105 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -371 or -18199\/49?\nAnswer: -18199\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 284651200?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 17)*42\/(-1029).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**8*w**10\/w*w*w)\/(w**(-14)*w**(-9)) assuming w is positive.\nAnswer: w**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -1\/110 in ascending order.\nAnswer: -2, -1\/110, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*g - 34*g = -57*g - 294 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100000010100010110010 (base 2) in base 7?\nAnswer: 62436511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 5:17 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1744 and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11651793*s**3 + 11257686*s**2 wrt s.\nAnswer: -69910758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236 = -15*l - 49 - 97 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22725*b**2*r**5 + 1219*b**2*r**3 - 2*b**2 + 6497*b*r**2 - 2*b - 2 wrt r.\nAnswer: -1363500*b**2*r**2 + 7314*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - -10723005812\nAnswer: 10723005812.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 - h**2 - 6*h**2)*(0*h**3 - 14*h**3 - 7*h**3 + 2*h**2).\nAnswer: 210*h**5 - 20*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, 2\/5, -0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 13 and 20008528274.\nAnswer: 20008528287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 6 = -26. Suppose -w*r = 5*u + 10, 23 = -5*r + 8. Suppose -58*g + 78*g = 80. Put g, -1, u, -5 in increasing order.\nAnswer: -5, -1, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11851*l**2*w**2 - 119*l**2*w - 9919*l**2 - 12*l*w**2 + 14*w**2 wrt w?\nAnswer: -23702*l**2 - 24*l + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 57*d**3 + 450932*d**2 - 11366013*d - 1.\nAnswer: 342*d + 901864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11316 and 4.\nAnswer: 11316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 15, 138, 513, 1272, 2547, 4470?\n\"Answer: 22*i**3 - 6*i**2 - 13*i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*m + 1)*(2 - 2 - m)*(218*m - 37*m + 62*m).\nAnswer: 729*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -376, -416, -424, -382, -272, -76, 224?\nAnswer: 646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 121445 - 712891. Let r = u - -2417873. Let g = 4326427 - r. Round g to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/44711 + -4068341\/16095960. Find the common denominator of s and 29\/256.\nAnswer: 11520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143469475 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-0.282\nAnswer: -0.141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11977097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 3:13 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 362*f**2 - 436*f - 4387. What is the thousands digit of o(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-8)*q**(2\/19))**(26\/9)\/((q\/(q\/((q*q**(-1\/5))\/q))*q)\/q**(-1\/5))**(2\/31) assuming q is positive.\nAnswer: q**(139096\/5301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 2. Let l be (-6)\/(-12) + (-27)\/(-2). Suppose i + 3*w - 2*w = -4, -4*i - l = 2*w. Let f(h) = h**3 + h**2 - h + 3. What is i*r(z) - 2*f(z)?\nAnswer: -2*z**3 + z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(1 + -3 + -1). Suppose 0 = 2*j + 3*j + h*z - 8, 3*j - 4*z = 28. Suppose -4*s + 4 = -4*t, -5*t + 18 - 3 = 0. Is j != s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3*t - 21 = -6*t, 0 = 3*t. Suppose a = 2*v - 13. What is the least common multiple of v and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j - 4 = 0. Let w = -3 + j. Let k = w + -1. Solve -4*z - z - 10 = k for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, q: 1, r: 2, z: 1, i: 1, j: 1}. What is prob of picking 1 i, 1 j, 1 k, and 1 z?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(4\/9) + -1. List the prime factors of (-4)\/s - (-3)\/((-75)\/(-665)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40 - 170*a - 208*a - 77 + 55*a + 39 to r*a + i and give r.\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 330 + -3082. Let u = -1707 - l. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 12 - -9 - 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -379.6 + 380.6. Let b = -0.15 + -4.35. Let z = b - -0.5. What is the second smallest value in z, -0.04, x?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 + 3*g - 3*g)*(0 - 1 - 1 + (3 - 3 - 2)*(3 + 0 + 1))*(0 + 2 - 3).\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 166, 4\/5, 6, -0.1, 0.9, 7\/2 in descending order.\nAnswer: 166, 6, 7\/2, 0.9, 4\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -61, -20, 49, 146?\n\"Answer: 14*t**2 - t - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/272 + 5\/255*309. Solve -7 = -11*i + g*i + 2*s, 0 = -5*s + 20 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 889 and 381?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/(-42) + 1\/(3\/16). Solve 20 = q*v - 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/306 and -103\/6426?\nAnswer: 6426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**4 + f**4 - 2*f**4)*(-3 - f + 3) - 3*f**2 - 26*f**5 + 5*f**2 + 23*f**5.\nAnswer: -f**5 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f - 134778195366 + 134778195366.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 130 + -42. Let d = i + -16. What is the greatest common divisor of 24 and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + 58. Suppose 3*c - 165 = u. Let l be ((-2)\/(-4))\/(4\/56). What is the highest common factor of l and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-144)\/48*(-92)\/18*36\/(-24)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j - 1 - 7*j - 5*j + j.\nAnswer: -7*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 0, 0 = 2*m + 4*p - 10 - 16. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, b: 9}. What is prob of picking 2 q and 2 b?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9.611 and 168035.56.\nAnswer: 168025.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5\/3 (b) 72 (c) 1.66812\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 3*s - 2. Let c be h(3). Does c = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a microsecond in nanoseconds?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 + 4 + -8\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((-3)\/35 - 14\/(-49)). Suppose -a - 11 = -v. Is v a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2647.59 rounded to the nearest 100?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 12 + 16 = h, 3*d - 15 = -2*h. Let i be (-4)\/6 + (-23)\/(-3). Suppose h = -l + i. What is the smallest common multiple of 6 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1128 + 0.4182. Let q = l + 38.769. Let t = q - 39. What is the closest to 2\/5 in -0.5, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 + 8*13\/((-832)\/144)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -10*b**3 - 40*b**2 - 20*b + 24. Let k(h) = 2 + 3*h**2 - 4*h**2 - 18*h - 24*h + 43*h. Let t(p) = 4*k(p) - l(p). Factor t(r).\nAnswer: 2*(r + 2)**2*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.530647um to millimeters.\nAnswer: 0.001530647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**3 - 5*f**2 + 2 + 4*f**2 + 8*f**4 + 0 to the form b + a*f + w*f**2 + h*f**4 + d*f**3 and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 374, 2 in increasing order.\nAnswer: -5, -1, 2, 374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 970723 is divided by 34.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -12. Let y be ((-6)\/(-10))\/((-8)\/(-5)). Is y <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -124*b**2. Let q(p) be the third derivative of p**4\/8 - 2*p**2 + 274. What is q(u(g))?\nAnswer: -372*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 281, 170, -3\/4, -0.5, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1301 divide 1487872369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 6. Calculate the least common multiple of c and (-3)\/(-18) + 2170\/248*(-34)\/(-15).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -158 - -163. Suppose -a*h = 2*w + 22, 2*h + 0*h = -4. Let t(o) = o**3 + 7*o**2 + 8*o - 1. Determine t(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-1)\/1 - 78\/(-18).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 27 = 4*q, 19*q = 22*q + o - 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -225, -456, -701, -966, -1257, -1580?\n\"Answer: -z**3 - z**2 - 221*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269 + 808 - 272 + z**3 - 277.\nAnswer: z**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1785)\/(-765))\/(14\/54). Solve -g = v - 7, -3*q = 2*v + 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 5) + -5 + 4 + (292 - 365)\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -l**5\/60 - l**3\/6 - l**2. Let d = 119 - 120. Let j(z) = -2*z**3 + 6*z**2 + 4. Determine d*j(f) - 6*v(f).\nAnswer: 2*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.018007 to 1 decimal place.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 10 = 2*r. Let u be (54\/15)\/(12\/1600). Suppose z - u = -5*z. Calculate the greatest common factor of r and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 4*x = 3*u + 1334, -x + 667 = -9*u. Solve 669*b - x*b = 12 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 25*r - 8*r. Which is smaller: -24\/103 or r?\nAnswer: -24\/103","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10334334113 (base 5) to base 11\nAnswer: 6391450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*h - 9, 4*h = 3*y - 6*y + 13. Suppose y = -5*x - 17. Let d be (-2)\/(-4) - 6\/x. Solve m - d = -1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {p: 1, i: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10745 times -0.6?\nAnswer: 6447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41560.\nAnswer: 2, 5, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.31 - -15.69. Let h = -15.9296245 - 0.0700955. Let c = h + y. Round c to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-21)\/(-3)*(-18)\/(-21). Let z be (t + -5)\/((-2)\/(-96)). Suppose -2*y = y - z. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -90*l + 15. Let g(m) = 449*m - 76. Let h(n) = 2*g(n) + 11*j(n). Let x be h(9). Is x\/(-5) - (-1 + -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -10*s. Let h be l(-1). Let n(o) = o**2 - 13*o - 12. Let v be (19\/(-38))\/((-1)\/28). Let g be n(v). Solve 0*m = g*m + h for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3525954 by 4.\nAnswer: 1762977\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 5*h**2 + 6*h + 1. Let y be x(-4). Let w = 10 + y. Solve 7*b + 25 = -5*c + w*b, 5*b - 10 = 2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/((-12)\/4))\/(-6)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46218*x - 6642 = -46095*x for x.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 3:11 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 451 + -451.04. Which is the nearest to -0.1? (a) 0.2 (b) 3\/2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93 - 271 = 24*g + 92 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 93 + -91. Suppose 0 = -h*w + 3*w. Solve w = -4*d - 9 - 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40915 and 98?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 273 + 15. Let x be (-32)\/t*18\/(-4). Suppose -2*s - 4 + 0 = x*l, 22 = -s - 5*l. Solve 4*z = p + 20, 3*p - s*z + 15 = -0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 2*b**2 + 4*b + 3. Let r be k(-3). Suppose r = -w + 5. Solve 0 = v + 4, 5*j + w*v = j - 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -22 and -104.1.\nAnswer: -126.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 710120574 and 641482.\nAnswer: 710120574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 0*n + 172 = k, -5*k + 20 = 0. Suppose -3*z + n = -4*r, 4*z = r + 3*r + 68. Suppose 2*j = 5*j - 12. Solve 0 = -j*x - 5*a + a + z, 4*a = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 98*y**2 - 40*y - 18. Let t(a) = -99*a**2 + 39*a + 18. Let o be 6 - (-6)\/(-36)*0. Let d(c) = o*i(c) + 7*t(c). Factor d(k).\nAnswer: -3*(5*k - 3)*(7*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -123*i**3 - 2*i**2.\nAnswer: -738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 363 a factor of 2057484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 5*s + 65, -3*l = -8*l - 4*s + 59. Solve 2 = 17*f - l for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + f - 4*f + 10, -5*n + f = -59. Suppose -10*j = n*j - 23289. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -30*s. Let r(f) = -26*f + 116. Let l(a) = -207*a + 957. Let q(k) = -4*l(k) + 33*r(k). Give q(j(n)).\nAnswer: 900*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -16. What is the greatest common factor of 2 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 291821 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**3 - 4*r**3 - 3*r**3)*(4*r + 0 + 0)*(1 - 2 + 2)*(r + 2 - 2).\nAnswer: -20*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.997805mm to centimeters.\nAnswer: 0.5997805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 9:36 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*o + 164 = 15*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -6*k**2 + 7. Let d(a) = 3*a**2 - 3. Let i(h) = -14*d(h) - 6*r(h). Let x(c) = -57*c. Give i(x(w)).\nAnswer: -19494*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -15627?\nAnswer: 15623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 12*f**2 + f + 17. Let g be l(-12). Let z(u) = -17*u + g*u - 20*u + 6*u. Let h(s) = -s**2. Calculate z(h(q)).\nAnswer: 26*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*((sqrt(684) + (sqrt(684) - (sqrt(684) + 2 + -5)) + sqrt(684) - (sqrt(684) + 1 + sqrt(684) + 2)) + 4))**2*6*-1.\nAnswer: -384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2901 - 44371 = 1694*j - 99*j for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38330358*o - 27196980 with respect to o.\nAnswer: 38330358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44179 is divided by 3382.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 18 (c) 1 (d) -6 (e) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18281 - 18065. What is the least common multiple of h and 252?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 104603?\nAnswer: -104611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - -3) + 3 + (1 - -4). Suppose v*c - 80 = -13*c. What is the lowest common multiple of c and 34?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d - 3. Let s be v(7). Let f be 2 + (0 - (s + -2)). Let g = f - 0. Solve -q + 5*q = k - 14, 3*q - 3*k + 6 = g for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2118 and -2118 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8942.82ml to litres.\nAnswer: 8.94282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000214835 to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 2245598.\nAnswer: 40420764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (5 - -4) - -5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 - -65. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.1, -1\/7, -11, -2147 in increasing order.\nAnswer: -2147, -11, -5, -1\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 + -40. Suppose 0 = -b + 2 - q. Suppose 0 = 4*v + b*w - 718, -3*w - 12 = w. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 13. What is the closest to t in 0.3, 1, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + 48. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*j**6*k - 181*j**4*k - 100*j**2*k + 4*j**2 - 2 wrt j?\nAnswer: -3840*j**3*k - 4344*j*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of v**5\/20 + 5*v**4\/12 - 3*v**2\/2 - 2*v. Let c(x) = x - 5. Let o be c(0). Determine w(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3514 - 3451.27. Let w = j - 64. Let v = 0.27 + w. Put v, 0.2, -3 in descending order.\nAnswer: 0.2, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.032081km to meters.\nAnswer: 7032.081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**2. Let c(g) be the third derivative of g**5\/60 + g**4\/24 - 5*g**2. Let b(z) = -7*z**2 - 6*z. Let q(y) = -b(y) - 6*c(y). What is a(q(x))?\nAnswer: -2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-112)\/308*-5)\/((-6)\/(-33))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*0.4.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19, 146, 273, 394, 503, 594, 661, 698?\n\"Answer: -m**3 + 6*m**2 + 116*m - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2710058 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from khkhkhokokoh. What is prob of picking 1 o and 3 k?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*c = 0. Suppose h + 2*h - 6 = c. Let -h*j + 4\/5 + 6\/5*j**2 = 0. Calculate j.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -17*c + 202. Let w(o) = -17*o + 208. Let y(x) = 6*v(x) - 7*w(x). What is the remainder when 29 is divided by y(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4 + 3 + 0 + 6 + p**2 - 3*p. Is j(8) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 10:23 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*w**3 - 817882*w**2 - 31983668*w.\nAnswer: -180*w - 1635764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 5*m + 1, -5*g + m + 7 = -10. Solve 2*l + l**g - 3*l - 4*l - l**2 + 3*l**3 + 3*l - l**5 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -14, -37, -78, -143, -238, -369, -542?\nAnswer: -763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3606129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 6*r**3 + 6*r**2 + 4*r - 4. Let f be ((-2)\/4)\/((-7)\/70). Let n(t) = -7*t**3 - 6*t**2 - 5*t + 5. Let a(h) = f*n(h) + 6*m(h). What is a(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1022937.\nAnswer: 3, 340979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) + (sqrt(204) - (sqrt(204) - (-2*sqrt(204) + sqrt(204) - sqrt(204)))))*4)\/(-2*sqrt(12)*-2).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2369*n**3*r**4 - 2*n**3*r**3 + 13*n**3*r + 5*n**3 + n**2*r wrt r.\nAnswer: 28428*n**3*r**2 - 12*n**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y\/(y*y**(-21))))*y)\/(y*y**(2\/53)) assuming y is positive.\nAnswer: y**(1111\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 831371?\nAnswer: 4988226","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 259, 508, 757, 1006, 1255, 1504?\n\"Answer: 249*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3810773 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**3 + 6*c**3 + 5*c**3.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, -18, 4, 0, -5 in ascending order.\nAnswer: -35, -18, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3675096.3584 and 228.\nAnswer: -3674868.3584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 40470675 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 6:26 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 41*b**3 + 2*b**2 - 4*b. Let x be d(-3). Let o = 359 + x. Let t be (-2)\/(-8) - o\/8. What is the greatest common divisor of t and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-6))\/(5\/(-10)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 12*v + 4. What is the lowest common multiple of h(-12) and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k + k + 4*k)*(1008*k + 1133*k + 775*k) in the form l*k + f*k**2 + r and give f.\nAnswer: 8748","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -32 and 1097555.\nAnswer: -35121760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 7*m**2 + 2*m - 6. Let k be z(7). Let c be 0 - (k - 0)\/(-2). Suppose o + 12 = 12. Is c != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1305417085 to the nearest integer?\nAnswer: 1093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -311*z**2 - 12*z + 12. Let q be v(1). Let y = q - -320. Put 15, -2, y in increasing order.\nAnswer: -2, y, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11680129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 812 (base 12) in base 11?\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 13*r**2 - 11*r + 10. Let m be h(-12). Let g = 7 + m. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 (base 13) in base 11?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/10080*147)\/((-1)\/8).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) 2 (c) 303 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 12 = v, 4*y - 313*v + 318*v + 4 = 0. Suppose 2*u = 4*g + 16, 3*u - 56 = -g - g. Solve y*j = -0*j - u for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -137.34576 - 7.89.\nAnswer: -145.23576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(441)*-2)\/sqrt(7))\/(2*sqrt(81)*-2).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21102, 21071, 20990, 20835, 20582, 20207, 19686, 18995?\nAnswer: 18110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21243582 and 11801990.\nAnswer: 106217910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + u - 8. Let c be 24\/9 + u\/(-6). What is the first derivative of 3 - 2 - d**c - 3 wrt d?\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 4 = 4*t + w, -2*t + 4*w = -22. Suppose 0 = 3*j + 4*i + t, j + 7*i - 2*i = -6. Let n = 37\/33 + -5\/11. What is the closest to n in -0.5, -4, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6039.391kg?\nAnswer: 6.039391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1, 76, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (36\/135)\/(4\/6). What is the closest to 0 in 5, g, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 12, t: 1, g: 3, b: 1, r: 1, i: 1}. Give prob of picking 1 i and 1 g.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 102 + -73. Let u = 370 + -382. Let k = f + u. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72457 is divided by 76.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*m - 37334 + 36580 for m.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2307 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(475) - sqrt(475)*-1) + 2 + 1*sqrt(19) - -5*(-3 + sqrt(19) + 1 + -3 + -2*sqrt(19))*-4)**2.\nAnswer: 6200*sqrt(19) + 28259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 7*c**2 - 29*c + 13. Let k(m) = 3*m**2 - 13*m + 6. Let z(y) = -5*k(y) + 2*s(y). Let w(g) = 5*g - 4. Let p be w(2). Calculate z(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1252367.355 rounded to the nearest 1000?\nAnswer: 1252000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7815.2752 times -0.2?\nAnswer: 1563.05504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4339*p + 30 = 5*k + 4334*p, 0 = 3*k + 4*p - 11 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 145 and 95360?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 0*t + 198 = 3*z, -3*z + 207 = t. Let x(k) = 6*k - 60. Calculate the remainder when z is divided by x(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1894?\nAnswer: 2, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.17 (b) 2\/13 (c) 0.3 (d) -2 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 731 = 3*z - i, 5*z = i + 1221. Solve z*d - 250*d + 30 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.96268l to millilitres.\nAnswer: 88962.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 20*k - 30. Calculate m(-5).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 234 - 231 - ((-2 - 2) + -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 9:39 AM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 21*k + 99. Let l be y(-6). Calculate the highest common factor of 12 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 + 97. Let x = -56.1 + f. What is the second biggest value in -0.2, x, 1.7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(24)\/(sqrt(6)\/sqrt(3)))\/((sqrt(28)*3)\/sqrt(7)).\nAnswer: -5 + sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.18? (a) -1.77 (b) 1\/2 (c) -6\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6646852.\nAnswer: 2, 1661713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vdvxvjvfxfjfdvvffj.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j**2 + 3*j + 4. Give i(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13139297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/12943, 8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 - 21*r + 21*r + 34*r**2.\nAnswer: 34*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 7:34 AM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 647 + -715. Let x = 190 - 305. Let u = b - x. Does 14 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8238 - -8350. Put 4, t, -3 in increasing order.\nAnswer: -3, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(-7)*-3 + 5175. Suppose 10*w + 1432 = c. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21885\/(-43770))\/((-1*1)\/144).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42325 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 2*c. Let t be z(3). Suppose -219 = -11*o - 175. Solve t*n + 0*n - 12 = 3*x, 5*x - o*n + 20 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 32*r = -133*r. Solve r = k + 5, -4*k + 22 = 2*x - 8*k for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 576864 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 j when two letters picked without replacement from jvvpsrrjrjjvrprrpjov?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**3 + 2*s**2 + 3. Let b(d) = 5*d**3 - 6*d**2 - 8. What is 3*b(y) + 8*q(y)?\nAnswer: -y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 11*a**2 + 16. Let s(l) = 10 - 43 + 0*l - 24*l**2 - l. Let k(p) = 13*c(p) + 6*s(p). Give k(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 44*z**2 + 5*z - 2. Let b(v) = 2*v**2 + v - 1. What is -4*b(s) + w(s)?\nAnswer: 36*s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2102121 (base 3) to base 7\nAnswer: 5110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/3 (b) 0.03 (c) 953 (d) 37 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -1)*((-300)\/(-350) - 138\/63)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**5\/2 - 17*b**4 - 421*b**3\/2 - 1084*b**2 - 1504*b + 2816.\nAnswer: -(b - 1)*(b + 8)**3*(b + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13063, -52338, -117797, -209440, -327267, -471278?\n\"Answer: -13092*v**2 + v + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**4\/5 + 35439*r**3\/5 - 33072906*r**2\/5 - 132716988*r\/5 - 132858792\/5 = 0.\nAnswer: -2, 1026, 10791","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 - -48. Which is the third smallest value? (a) -0.5 (b) g (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -327*o**5\/20 + 229*o**2\/2 - o - 118. Find the first derivative of p(b) wrt b.\nAnswer: -981*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**3 + 6*a**2 - 3*a - 11. Let g be q(-5). Let x = -58 - g. Is x a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3149 and 188?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (992\/(-155))\/(14\/70)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + -117\/4. Let x = 144.9 + -145. What is the closest to k in 0.3, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*((-6*y + 2*y - y)*(2*y - 2*y + 2*y) - 2 - 2*y**2 + 2 + y**2 - y + 3*y**2 - 5*y**2).\nAnswer: -13*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 179\/256494 and -68\/651?\nAnswer: 256494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1263, -1490, -1865, -2394, -3083, -3938, -4965?\n\"Answer: -k**3 - 68*k**2 - 16*k - 1178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -181 - -262. What is the greatest common factor of s and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1347.65 to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q + 0*q - 3*q + (1 - 1 + 2*q)*(3 - 3 + 2))*(3 - 6 + 0)*(-q + 2*q + 3*q) to the form l + g*q**2 + j*q and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 15. Let i(r) be the first derivative of 4\/3*r**3 + 2 + 3\/2*r**2 + 7*r - 1\/4*r**4. Give i(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -6*y**2 + 0*y**2 + 3*y**2 + 9 + 13*y + 2*y**2. Let j be i(12). Solve 4 = 20*f - j*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7510016 to the power of 1\/4, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31583 is divided by 2870?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*(q\/(q\/(q*((q**(-29)\/q)\/q)\/q)))\/q)\/(q\/(q\/q**29))*(q*q**(-3)*q)**3 assuming q is positive.\nAnswer: q**(-62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13893 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 6:59 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7748575391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2052 = 12*u. Let i = u - -356. Let b = i - 124. Calculate the lowest common multiple of 32 and b.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36591321?\nAnswer: 3, 13, 19, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154, -331, -532, -769, -1054?\nAnswer: -1399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6816.99984298 - 6817. Round j to six decimal places.\nAnswer: -0.000157","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199951415 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2993*j*n**2 - 2328*j*n*x - n**2 - 216*n*x + 2*n + 649*x + 1 wrt j.\nAnswer: -2993*n**2 - 2328*n*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11238 + 11233 - (0 - 0 - 48 - (-2 + 2))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6333 a factor of 166849218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o*o**(-5)*o)\/o*o**(3\/5))\/((o**4*o)\/o*o\/o**4)*(o**(-2\/19)*o*o**(-9)\/o)\/(o**(-7)\/o*o*o\/(o**9\/o)) assuming o is positive.\nAnswer: o**(142\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/1060 and 35\/32436.\nAnswer: 162180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 + 80. Let o = p - 31. Let s be ((-2025)\/3)\/(o\/(-4)). Round s to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 515 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**3 - 434*u**2 - 1712*u - 1704 = 0. Calculate u.\nAnswer: -213, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 2*z**2 - 3*z + 13. Let f be a(-3). Suppose 7728 = -d + f*d. Calculate the highest common divisor of 28 and d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 692 by -5.\nAnswer: -692\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2. Let o(m) be the second derivative of 5\/2*m**3 + 0*m**2 + 0 - 5*m. Give o(d(r)).\nAnswer: -30*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282737*q + 282664*q = -5548 for q.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((138\/(-8))\/3)\/((-1 + -2)\/120). Which is greater: 238 or u?\nAnswer: 238","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -53*n - 50*n + 1 + 102*n. Suppose x + 2 = 3*c - 3, -4*x - 3*c + 25 = 0. Determine i(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -796.\nAnswer: -1\/796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1422850)\/(-38805))\/(0 + -5)?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18563*z**2 - 279553*z?\nAnswer: -37126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001220 + 0?\nAnswer: -1001220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 + -29. Let d be 2*10 + (t - -5). Calculate the greatest common factor of d and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10333041.\nAnswer: 3, 1279, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -1013?\nAnswer: -1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153)*2 - sqrt(153))*5*6)\/(2*sqrt(1089)*-3)*-5*-6.\nAnswer: -150*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 0.1 (c) -2\/119 (d) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -4*z + 1180, -12*z + 9*z = 4*l - 888. Suppose -t = 3*n - z, t + 193 = 2*n - 0*t. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2229 less than -2228?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (11 - (3 - -9)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23430 and 1782?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144 and 612.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303 + 30111 = -621*w for w.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l. Let b(k) be the first derivative of k**4\/2 - 2*k**3\/3 + k**2 + 8. Give b(m) + 2*v(m).\nAnswer: 2*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2\/3*(54\/(-5))\/(1284\/1605)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 3*u + 5. Let y be q(2). Suppose a + 0*a = 5*z - 598, 4*a - 368 = -y*z. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -5*s + 2*s + s + 6. Let d be p(6). Is (-165)\/d*(-8)\/(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 9 = -l, 0 = -o - 4*l + 63 - 81. Let u(k) = -2*k**2 + 7*k - 5. Let t(x) = 2*x**2 - 6*x + 4. Determine o*t(q) - 5*u(q).\nAnswer: -2*q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1 - (-12 - -13)) + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + q = 9, 2*o = -2*q + 3 + 3. Let r be (-30)\/(-12)*(1 - (6 + o)). Let d = r + 47. Calculate the highest common factor of 37 and d.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 2*r - 9 = 0, r - 1 = 171*a - 168*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -91*z**4\/12 + 743*z**2. Let v(r) = -12*r. Give v(p(a)).\nAnswer: 2184*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*q + 290 = 0, 1076 = 87*h - 83*h + 2*q. What is the greatest common divisor of h and 418?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3072)\/(-8960) - (-135904)\/(-1120).\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 124\/(-3441)*(-21)\/(-14)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 77 - 7 = -x, 0 = -5*x - 4*b + 392. Let m = -28 + x. What is the remainder when m is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-9)\/12)\/(42\/(-7462504)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 778*a = 890*a + 1456 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -259234 < -10887869\/42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 365913 * 16.8.\nAnswer: 6147338.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 5*m - 35489, 3*w - 106467 = 13*m - 8*m. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1)*m)\/m**(2\/3)*(m**(1\/4))**(-18) assuming m is positive.\nAnswer: m**(-31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + v = 2*v - 15, 0 = -4*r - 2*v + 22. Let j be r\/30*-4*(-105)\/(-140). Which is the fourth biggest value? (a) 1\/2 (b) j (c) 0.3 (d) -2\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -o - 2*n, 5*n = -5*o + 3 + 52. Let s(p) = 5*p**2 - 19*p + 68. Let y be s(o). Round y to the nearest ten.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50637 - -208638. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 735*t**3 - 63*t**2 - 63*t - 63. Let l(s) = -46*s**3 + 4*s**2 + 4*s + 4. Calculate 4*a(q) + 63*l(q).\nAnswer: 42*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vkvekekwhkhgeweeeee. Give prob of sequence gew.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*a - 44*a = -8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0 + 4 = -2*f, -4*z - 5*f = 7. Suppose -g = z*g - 15. Suppose 4*v = -3*m + 4, -4*v + 14 = g*m - v. Solve -i + 4*u = 12 - 3, m*i - 4*u + 24 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 136?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -9. Find the second derivative of 2*q - r*q + q**4 - 4*q + 5*q wrt q.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-80)\/4)*(525\/18)\/5\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -9. Let c be -1 - x\/(12\/16). Suppose -3*b + 0*u = c*u - 39, -4*u + 8 = 0. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-1))**(-13)\/(h**3*h**1*h)*(h**(1\/8)\/(h**4*h))\/(h**(-2\/3))**(4\/29) assuming h is positive.\nAnswer: h**(-24905\/696)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - -0.4. Is -1 >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -144 + 130. Is ((-196)\/1)\/(b\/21) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4942500 divided by 2\nAnswer: 2471250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 71 = -82. Suppose -8*q - 330 = -b*q. What are the prime factors of q?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3 + (-2*(sqrt(130) + sqrt(130)*2)\/sqrt(10) + sqrt(104)\/(sqrt(288)\/sqrt(4)))**2)*1 + -3.\nAnswer: 3721\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28478721 by -3.\nAnswer: -9492907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 12624*h + 5125357. What is o(-406)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4 - 2*z**4 - 44*z**3 + 7*z**3 + z**2 - 12*z - 30*z + 45*z**3.\nAnswer: z*(z - 2)*(z + 3)*(z + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 7*q = 25. Suppose -g - 4*g - 10 = -5*y, 4*y = q*g + 5. Does 7 divide g\/((36\/164)\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -8265 = -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4858741 or -4858743?\nAnswer: -4858741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -68\/3 + 1627\/60. Are 4 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3628247928 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 20. Let r(v) = -v**2 - 8*v + 11. Let q be r(z). Suppose -1 + 4 = t, 4*j - q*t - 46 = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2486 - 1635. Calculate the greatest common factor of 69 and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 g, and 1 e when three letters picked without replacement from negdgedkewddwed.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -9 + (-2 - -9)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**4*o**2 + 114367*h**4*o + 2*h**2 - 936*h*o**2 - 5*o wrt h?\nAnswer: 24*h*o**2 + 2744808*h*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**5 - 4*i**4 + 8*i**3 = 0. Calculate i.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6301, -2382, 1537?\n\"Answer: 3919*s - 10220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*v - 162*v - 54326 + 27062 = 0 for v.\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1420*l + 2989*l - 1490*l + 1.\nAnswer: 79*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 10:09 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*b**2 - 15*b + 9*b**2 + 5*b - 6 - 19*b**2 wrt b?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (45\/12)\/(24\/32). Calculate the highest common divisor of 10 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 21, 0.2, 5, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a microgram in nanograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.22 from 3788660619.\nAnswer: 3788660619.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 490731992?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*g - 36, 5*g + 2*q - 34 = q. What is the highest common divisor of g and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16357*w - 29484 = -14251*w for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1252*f - 1182*f + 840 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3205?\nAnswer: 5, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - -693) + 3 + -5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9105449.\nAnswer: 29, 313981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 3220365?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 29 = -5*r, 10*r - 2*t = 7*r + 11. Let h = 5 + -3. Solve -4*x + r*q = -4, 3*x - 5 + h = 2*q for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a gram in milligrams?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1432015 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 n = 72 - 28. Suppose -n*f + 624 = -40*f. Suppose 5*r = 2*b + 260, -f = -3*r - 4*b - 0*b. What is the remainder when r is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f + 1 + 11 + f.\nAnswer: -3*f + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 8*o + 803 = -30*o - 30*o for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 6*s**3 - 36*s**2 + 11*s + 60. Let v(g) = 3*g**3 - 18*g**2 + 5*g + 30. Let d(c) = -4*u(c) + 7*v(c). Find k such that d(k) = 0.\nAnswer: -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z - 70 - 210 = 0. Solve -5*t + u - 9 = 0, 3*u - 3 + z = -4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*u = 44636 + 179575. What is the thousands digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 8*i - 18. Let z be t(-14). Let f = z - 288. Let 0*d + 0*d**f + 4\/9*d**4 + 4\/9*d**3 + 0 = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -18*a**3 - 12*a - 7. What is the remainder when 8208 is divided by f(-2)?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.128 + -0.978. Which is bigger: -9 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 - 3*y**2 - 4*y.\nAnswer: y*(y - 4)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7231312 a multiple of 908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is -16154214.6 rounded to the nearest 10000?\nAnswer: -16150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 562.8161 nanograms?\nAnswer: 0.0000000005628161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 11, w: 1, s: 1, j: 4}. Give prob of sequence js.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 93 + 189. Calculate the remainder when o is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + d + s = -5, -d - 20 = -5*s. Suppose -h = -d*q + 283, 4*h = -3*q + 218 - 62. Let w = q - -53. Does 27 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + -25 + 99 - 114.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t**3 + 2*t**2 - 56*t - 139. What is u(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1323)*5 + 4)**2 + 2.\nAnswer: -1680*sqrt(3) + 132318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvwdvvvvvdvdavzddd. What is prob of picking 1 w and 3 d?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.06 + 0.06. Let h = 2.5 + -0.7. Let s = -2 + h. Which is the smallest value? (a) s (b) -3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 89 + 104 = 0. Sort 0.4, 28, m, 5 in ascending order.\nAnswer: 0.4, m, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18667944.\nAnswer: 2, 3, 259277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 30 = 5*t, -2 = 5*b + 5*t - 22 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-138)\/(-14) + 935\/(-340)*4?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -579 - 543 + 5*f**2 + 1122 - 3*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - 2) + 770\/110?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 11:47 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2187) - -1*sqrt(1728))\/((-6*sqrt(216))\/sqrt(6)).\nAnswer: 5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21*6\/(-27)*245\/70)\/(56\/48)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**5\/13 - 8*g**4\/13 + 14*g**3\/13 + 44*g**2\/13 - 48*g\/13 = 0.\nAnswer: -4, -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2 - u + 2. Let k(d) be the second derivative of d**6\/180 + d**3\/2 + 5*d. Let x(i) be the second derivative of k(i). Give l(x(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/105 and ((-273)\/(-1092))\/(742\/128)?\nAnswer: 5565","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 2:09 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - v - 414, 2*v + 1680 = -4*w + 4*v. Let l = w - -757. What are the prime factors of l?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mj when two letters picked without replacement from mymyujummmjykvymy?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1245703\/11, -2\/7, 4?\nAnswer: 1245703\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -79, -28, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4816*i**4*y + 5*i**2 + 373*i*y wrt i.\nAnswer: 115584*i*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 79*l**2. Let d(v) = -6*v**2. Determine d(s(j)).\nAnswer: -37446*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3*k - 2*n - 132, -3*k - n - 120 = 0. Is -39 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 + 4186?\nAnswer: 4171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -605*x**6 - 3*x**2 - 27*x wrt x.\nAnswer: -72600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 120241654 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/25*5*-123. What is v rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqqqq. What is prob of picking 3 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1142 and 746297.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.3149684 rounded to one dp?\nAnswer: -6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 9 + (10 - 25)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) 42.6 (c) -5\/4 (d) -230 (e) -1\/3 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 3*w + 3, 4*w - 47 + 55 = -2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27492?\nAnswer: 2, 3, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 + -41.5. Which is the second smallest value? (a) 5 (b) 2 (c) 1\/3 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 4*n - 246. Suppose -2*h + h - 10 = 0. Let u(k) = k**2 + 9*k + 4. Calculate the remainder when n is divided by u(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d - 41837 - 2*d**3 + 2*d**4 + 41853 + d**3 - 4*d**4 + 40*d**2 to q*d**4 + b*d + o + l*d**3 + x*d**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21167 and 122.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1140)\/(-1064)*(-21)\/30?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g + 3. Let w(m) = m**2 + 6*m + 6. Let z be w(-6). Let f(d) = d**2 - 15*d + 50. Let u be f(z). Let n be -6 + (-5 - u - -2)*-1. Calculate x(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 10, -2, -5, -3, -27.\nAnswer: -27, -5, -3, -2, 10, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*k + y + 137 = -111*k, -5*y = k + 37. Let o(x) = 29*x - 2. Let t(r) = 378*r - 27. What is k*o(i) + 2*t(i)?\nAnswer: -27*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1632186?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4*6\/72)\/(1\/(-423)). Is 141 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68798153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**2 - 20796*q + 6281576 = 0 for q.\nAnswer: 322, 4877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(175) + 1*sqrt(175))**2 - 5*((sqrt(175) + 0)**2 - sqrt(175)).\nAnswer: -175 + 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -52313 in -3, -4, -2, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1411*x - 1521*x + 1100 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 0*n. Let w be 28\/784*-14*(-10 + 0). Solve 2 = -n*z - 2*z - g, 18 = -w*z + 4*g for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 252 and 91644.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80501?\nAnswer: 79, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -385 - -384.9. Let a = 3.65 - 4. Let r = 0.35 + a. What is the nearest to r in -0.2, 0.3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 - 2*i**3 + 39*i**3 - 33*i**3 in the form d*i**3 + a*i**2 + y*i + t and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7349 - -7358. Which is the second smallest value? (a) 2 (b) w (c) 3\/83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 314.\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 29. What is the highest common divisor of f and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1562*k - 1570*k = 24. Which is the second biggest value? (a) 3\/2 (b) 0.3 (c) -7 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**2 - k**2 + 3*k**2 - 2*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/328367, -0.2, -3, 8\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (2 - 3 - -1) + 254 + -241.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w**2 - 13*w - 61. Let f be c(7). Let a = -12 + 11. Put f, -2, 1, a in descending order.\nAnswer: 1, a, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + -3 - sqrt(17))**2 + 0.\nAnswer: -36*sqrt(17) + 621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/4, -13, -0.4, 0.5, -1.87 in descending order.\nAnswer: 0.5, 1\/4, -0.4, -1.87, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24905365?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 22 = -11. Let t = 32 - m. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i + 1. Let a be x(-5). Let z(d) be the second derivative of d**4\/12 + d**3\/2 - 5*d**2\/2 + 4*d. Determine z(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 9.7.\nAnswer: -0.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 23673780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78561 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.120594 times 24?\nAnswer: -2.894256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 49, 47, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133, -828, -2713, -6382, -12429, -21448?\nAnswer: -34033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*x + 56 = 2*g, -g + 5*x + 25 = 0. Let m(r) = -14*r - 4. Let t be m(-6). What is the highest common divisor of t and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**12*i*i*(i\/i**(-19))\/i*i assuming i is positive.\nAnswer: i**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1917814 + 2797814. What is d rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w = -36*w + v - 172, 4 = 2*w - 3*v + 30 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -17007.04387 to the nearest one hundred.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 14 = -o. Suppose -4*f - 2*q = -160, -52 = 5*f - q - 252. Let v = f - o. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/5 - 1\/10. Is -1 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 4130215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, e: 1, t: 1}. Give prob of sequence mm.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/471 and (9\/81 - 17\/(-9))\/((-105504)\/(-140)).\nAnswer: 1884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 p when three letters picked without replacement from {p: 4, y: 15}.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -16. Let t = 3 + r. What is the remainder when (-2 + -3)\/((-3)\/9) is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*b**3 - 87*b**2 - 12*b + 96.\nAnswer: 3*(b - 4)*(b + 1)*(7*b - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 7) in base 6?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*q = 34*q - 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*7\/126 + (-104)\/18. Let s be (28\/p)\/(20\/75). Let y = 241\/14 + s. What is the nearest to -0.3 in 4, y, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*f**2 + 1 - 4\/3*f.\nAnswer: (f - 3)*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5541011 - 5?\nAnswer: 5541002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9006638?\nAnswer: 2, 967, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -x**5\/60 - 5*x**4\/3 - 7*x**3\/6 + 31*x**2 + 5*x. Calculate the least common multiple of 11 and g(-23).\nAnswer: 4224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1624966 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**4 - 29*g**3 - 67*g**2 - 51*g - 9.\nAnswer: -(g + 1)*(g + 3)**2*(4*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 100110?\nAnswer: -101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*c**3 - 1157*c**3 + 139*c**3.\nAnswer: -1081*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 433250789.\nAnswer: 433250789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 48876.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*a**2 + 6*a**2 + 3*a**5 - a**5 - 5*a**5 wrt a.\nAnswer: -180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3820)\/78310 + (-617)\/(-41).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115250 to the power of 1\/2, to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (-1 + -11 - (-42 - (2 + -34))) - -39.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 89*g = 419, 384 = 3*t + 2*g + 335 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(2\/1 - 4). Suppose -2*t + 2 = 3*o, -3*t + 12 = -4*t + 5*o. Let g be t\/3*(-3)\/(-8). Which is greater: g or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, z: 2, q: 3}. What is prob of sequence zqz?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of j**4\/12 + 2*j. Let t(v) be the third derivative of 5*v**4\/24 - 25*v**2. What is t(w(x))?\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 604, 1081, 1548, 1999, 2428, 2829, 3196, 3523?\n\"Answer: -w**3 + w**2 + 481*w + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1201 * 0.4\nAnswer: 0.04804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7916601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -12*(-2 + 0 + 7066\/(-6))?\nAnswer: 2, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1372615499 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-374)\/(-5610))\/(6\/9*(-9)\/(-40)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 1875 = 17*l. Calculate the remainder when l is divided by 60.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3445 and 1?\nAnswer: -3445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11150269, -11150272, -11150275, -11150278, -11150281, -11150284?\n\"Answer: -3*b - 11150266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -7563?\nAnswer: 755c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/3*9*79\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 56 = 4*u, -4*x - u = -9*x - 54. Let y be (13 - 1)*(-5)\/x. Let t(k) = -19*k - 13. Let b(l) = -3*l - 2. Calculate y*t(r) - 39*b(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j. Let y(h) be the second derivative of h**4\/2 + h**2\/2 - h. Let w be y(-1). Let o(f) = -3*f - f + w*f. Determine g(o(d)).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1818 - 2 = -26*x. Solve 0 = 16*s + x - 6 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -25, 0, -3\/25, 106\/9.\nAnswer: -25, -4, -3\/25, 0, 106\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 127*d + 4. Let j be g(4). Calculate the remainder when 52 is divided by (-2)\/7 - j\/(-28).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*m = 57. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -16, 0.3, 34, 0.1?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-6 - (-2 - -5) - (13 - (-22 - -33))).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-18)*(((-385)\/14)\/(-11))\/((-3)\/(-18)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3*f + 15443, -76*s + f = -71*s - 38601. What are the prime factors of s?\nAnswer: 2, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**2 + 11*x + 12. Let i be q(9). Let b = -48 - i. Solve 6 = -f + 4*f + d, 0 = -b*f + 3*d - 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10819, 8260, 27337, 46412?\n\"Answer: -x**2 + 19082*x - 29900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*a + 11*a**2 + a**2 + 23*a - 69*a**4 wrt a?\nAnswer: -1656*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 654364852 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*r - 35 + 35)*(-2 - 4 + 5)*(-2 + 5 - 2).\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23c3 (base 13) to base 4.\nAnswer: 1033010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 18916421 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147052170 divided by -3.\nAnswer: -49017390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5221 - -5215.9565. Let t = f + 0.0435. What is the biggest value in t, -13, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 9*q**2 - 397*q - 33. Determine u(-25).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {y: 9, i: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*x - 19, 3*v + 0*v + 18 = 5*x. Suppose -x*c + 37 = 4*j, 5*c = -5*j + 9*j + 51. Calculate the smallest common multiple of c and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -53*k**4*p**2 - 4885*k**2*p**2 + 348*k + 69*p**2 wrt k?\nAnswer: -636*k**2*p**2 - 9770*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 + n - 17. Let b be x(3). What is the second derivative of 6869 - 13*u**4 + 4*u**b + 2*u - u**3 - 6878 wrt u?\nAnswer: -108*u**2 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 16) in base 8?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((-2 + sqrt(343) + sqrt(343) - sqrt(343)) + 5 + 3 + -4)**2*-5 + 3).\nAnswer: -1732 - 140*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123, 1609, 3081, 4539?\nAnswer: 5983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (22 + -2416)\/((-18)\/12).\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -9\/2*a**2 + 2*a + 2\/5*a**5 + 1 - 9\/4*a**4 + 14\/3*a**3. Let c(o) = 0. Calculate o.\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -45*v + 6. Suppose 2*d + 3*u = -u - 2, -4*u = -4. Is 22 a factor of r(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**5\/h)**19\/(h**(-8)\/h*h**21\/h*h) assuming h is positive.\nAnswer: h**102","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -2\/9 (c) -17 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -2*y + 5*u, 0 = 2*y - 3*u - 15 - 4. Suppose -3*j = 2*j. Let q = -0.14 - -0.24. What is the closest to q in 1\/7, j, y?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(462))\/sqrt(11) - (sqrt(672) + sqrt(672) + sqrt(672) + sqrt(672)*-3 + sqrt(672)))\/((-6*(sqrt(72) + -2*sqrt(72)))\/(1*sqrt(432))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12246 + 13813. Is x < 1566?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = -30 - 132. Let y = -7 - -22. Let i be 10\/(-75) + (j\/y - -2). What is the nearest to 0.1 in -2, i, 16?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 232018130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**3 + 10*y**4 - 1 - 242*y**2 - 50*y + y**3 - 246*y**2 + 486*y**2 as f*y**2 + j*y**4 + t*y + a*y**3 + u and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1200) - 1*sqrt(1200)*-2 - sqrt(1200)) + sqrt(1200) + sqrt(1200) - (2 + sqrt(1200) + 5))**2.\nAnswer: -840*sqrt(3) + 10849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-36 + 27)\/(6\/(-4)). Let r be 0\/((-14)\/(-28) - f\/4). Solve 4*o = 5*u - o, 2*u - o - 1 = r for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103899411.\nAnswer: 3, 7, 11, 313, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 0*c - 1\/6*c**4 + 0*c**3 - 1\/60*c**6 + 0 + 4*c**2 + 0*c**5. What is the second derivative of d(m) wrt m?\nAnswer: -12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 41 = -n, 2*w + n + 54 = -40. Let k be w\/(-10)*4\/(-3). Let g(o) = -o**3 - 7*o**2 - 8*o + 3. List the prime factors of g(k).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 210, 211, 212, 213, 214?\n\"Answer: d + 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y - 314 + 197 = 0 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 - -51. Suppose r + s = 27 + c, 0 = s + 4. What are the prime factors of r?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 5*v + 17 - 49, 2*h = v - 2. Suppose -m = k - 1, m - 18 + 1 = 3*k. Suppose 3*r + 3 = 3*u, -2*u + m = 5*r + 3*u. Sort r, -1, h.\nAnswer: h, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -67.489.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1243152 and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -4. Let c = f - 9. Let j = c + 5.9. Sort 0.1, j, 0.5 in ascending order.\nAnswer: j, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**3 + 0*o**3 - 5*o**3)*(-3*o + 0*o + o + (-7 + 3 + 3)*(-4*o + 2*o - o) - 3*o - o + o).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(156)*1 - sqrt(156)))\/(sqrt(12) + (2*sqrt(60) + sqrt(60))\/sqrt(5)))**2*1 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = g, -3*m + g = -0*g - 8. Is 1\/24 less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152\/3344 + (-729)\/66.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -261123 - -19.889\nAnswer: -261103.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -67e29?\nAnswer: -67e24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-25) - 62*-1. Calculate the highest common factor of i and 186.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 8*k - 1. Suppose -2*m + 16 = -5*h, 32*m = 29*m + 5*h + 14. Let o(d) = 17*d - 1. Determine m*o(u) + 5*q(u).\nAnswer: 6*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*t - 1336*t + 11446*t.\nAnswer: 10223*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18353*d - 18341*d = 269964. List the prime factors of d.\nAnswer: 3, 7499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4470.\nAnswer: 2, 3, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -t + 4*v + 6, t + 3*v = -3. Suppose 0 = -2*z + 2*f, -z + 2*f = -2*z + t. What is the first derivative of -z + 9 - 8*l**2 + 1 wrt l?\nAnswer: -16*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 3*j)*(-29*j + 29*j - 52*j**2) as r*j + q + u*j**2 + b*j**3 and give b.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 3, -325, -5, -1, 72.\nAnswer: -325, -5, -2, -1, 0, 3, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*g + 104*g = -100*g + 301*g - 310 for g.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kbbb when four letters picked without replacement from {v: 1, k: 5, b: 10, o: 1}?\nAnswer: 15\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29344*b**3*q*t + 2*b**3*q + 2*b**3*t - 9*b**3 + b**2*q - 1513*b*q*t + 3*b*t + 37*b wrt b.\nAnswer: -176064*q*t + 12*q + 12*t - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p**3 - 3*p**3 - p**3 + 2*p**3.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 18 = -4*j, 3 = -2*b + j - 0*j. What is the units digit of ((-3)\/2 + b)*-20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, 9, -24, -4, -0.5, -1439?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1374191135?\nAnswer: 5, 347, 792041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 24 and 93.7.\nAnswer: 2248.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -7. Let l be (-2)\/4 - (-34)\/4. Suppose l*b - 28 = 6*b. Solve i*q = -u + b, 0*u + 12 = -2*q + 4*u for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18744 is divided by 58.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173377 is divided by 92?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294*a = 549575 - 562217 for a.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -384, -821, -1246, -1653, -2036, -2389?\n\"Answer: a**3 - 444*a + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 1 = -v. Let n = -21.9 + 20.9. What is the third biggest value in n, 4, v, 0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5780.303nm to centimeters.\nAnswer: 0.0005780303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 12*c. Let n(r) = 2*r**2 + 1. Let u be 3 + (-1)\/((-2)\/4). Calculate the remainder when n(u) is divided by m(13).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -0.2. Let z = b + -0.4. Let c be (-9)\/36 - (-19)\/(-4). What is the second smallest value in c, 0.1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 320\/15 + (-8)\/(-12). Let p be 224\/952*(-17)\/2. Put 0, p, d in ascending order.\nAnswer: p, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34182127400 rounded to the nearest 1000000?\nAnswer: 34182000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-3 + 5 - 6 - -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 444879.1l to millilitres.\nAnswer: 444879100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 n when two letters picked without replacement from nkknk?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 7:58 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/1 + -1 + 2. Suppose c*g = 2*g + 4*t + 12, -5*g - 2*t + 2 = 0. Solve 0 = 3*n - 15, 5*k + 3*n + g*n = 35 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 272 + 40 = 0. Suppose 4*y = -p - q, 50 + 48 = -2*p - 5*y. Let a = 260 + p. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 1. Let o(k) = -3*k - 1. Let c be o(1). Let y be m(c). Let j be (-1)\/y - 482\/6. Round j to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61\/35 - -769\/140. Sort 2\/3, -1, c, 0 in ascending order.\nAnswer: -1, 0, 2\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 379.4 rounded to the nearest 10?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 + 8061162*b - 5415194399187.\nAnswer: -3*(b - 1343527)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 bigger than -726\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, 20, 0 in increasing order.\nAnswer: 0, 5, 6, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -4*h - 2, -41*h = -45*h - 12. Which is greater: z or 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 115 + -220. Let f = -68 - x. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 341 - 23?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -14335 rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -157*y**4\/24 + 218*y**3\/3 + y**2 - 1111. Differentiate o(l) with respect to l.\nAnswer: -157","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2*q**4\/11 + 8*q**3\/11 - 32*q**2\/11 - 32*q\/11 + 96\/11 = 0?\nAnswer: -6, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 1886249\/72 and 26199 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -259 - -282 - (1 - -45).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -1 - 3*h - 1 + 2*h + 0*h. Let u(r) = -3*r - 4 + 0 - 1. Calculate 5*a(x) - 2*u(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-7) + 3 + 1 + -2\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 58*a + 120. Let r(c) = -c**2 - 118*c - 240. Let f(d) = -7*h(d) - 3*r(d). Find g such that f(g) = 0.\nAnswer: -10, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -v - 5, s - 3 = 5*v + 3. Suppose 0 = g + 2*o + 9, 0 = 3*o + 7 + 5. Which is the closest to s? (a) 2 (b) -2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21.95 and 1.\nAnswer: -21.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y - 3*y - 3*y + 4*y + 2*y - 3*y + (5*y + 0*y - 4*y)*(-3 + 2 + 2) + 1 + y - 1 + (1 - 5 + 0)*(-1 + 5 - 2)*(-5*y + y - y) in the form k + q*y and give q.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-5) + (47 - 37) + (-429)\/45?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -1. Let l = y + -14. Suppose 4*a + l*a - 258 = 0. List the prime factors of a.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2102*z - 3680*z - 5734*z - 2501*z to c + d*z and give d.\nAnswer: -14017","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(4\/(-2))\/(-36) - (-4930)\/306?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z - 2 = -23 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 0.2, 0.4, -8, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3473 divided by -5\nAnswer: 3473\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -15, 0, 1 in decreasing order.\nAnswer: 5, 1, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -5\/3, -1, 30, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2582*t**2 + 13 - 3 + 2*t**3 - 10.\nAnswer: 2*t**3 + 2582*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 - 32425*v + 8. What is g(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.127 + 51.773. Let q = f - 51.4. What is the third smallest value in -25\/3, q, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + -1 - sqrt(2) - sqrt(288))**2.\nAnswer: 16*sqrt(2) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*l - 206 - 402 = 0. Solve -l + 7 = -12*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1983882 is divided by 1983878.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.059 and 1212.\nAnswer: 1211.941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48.93 + -46.8. What is g rounded to one dp?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6986 divided by -7?\nAnswer: -998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2459 divided by -10484.\nAnswer: -2459\/10484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17498.\nAnswer: 2, 13, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 15 = -3*u, 23*l - 18*l = -30 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32416338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109893, -109894, -109895, -109896?\nAnswer: -109897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 993?\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-2 + (-19)\/(-1))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**3 + 478*n**2 - 28*n + 3.\nAnswer: -6*n + 956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 56\/5*l + 4\/5*l**2 + 196\/5.\nAnswer: 4*(l + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/5 (b) -22 (c) -0.4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -3 + (9 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -69*y - 5. Let g(z) = -55*z - 4. Let t(k) = 4*b(k) - 5*g(k). Let w(q) be the first derivative of -23*q**2 + 3. What is t(w(j))?\nAnswer: 46*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 615665, 2462823, 5541471, 9851609, 15393237, 22166355, 30170963?\nAnswer: 39407061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 66\/1273 - -81784\/141303. Calculate the common denominator of 89\/15 and u.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + sqrt(30)\/(sqrt(384) + sqrt(6)) + 5)*-3)**2 + 1 + (-6*sqrt(35)\/sqrt(7))**2*-2 + -5.\nAnswer: -751\/9 + 100*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 2 - 4 + (3 + 1 - 2)*(5 - 4 + 1) + 446 - 225 - 215)*(-2*m - 3*m + m).\nAnswer: -52*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 79868450113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06751? (a) 2393\/4 (b) -3\/7 (c) 3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.4, -3\/5, 2\/35, 0?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 54366 = 26*w. Let i = -45 + w. Is 37 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -169, 6, -1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*o - 11*o - 1875. Suppose -u + 364 = -o. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a7260 (base 11) to base 16\nAnswer: -26183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -244, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637)*-2 + -2)**2 + 4.\nAnswer: 56*sqrt(13) + 2556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(-154) - (-12)\/(-42). Let o = 2613\/8 - 327. What is the closest to b in 0.3, -1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/1 - -1)\/((-3)\/(-429)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 + (-124)\/20 + 7\/(420\/(-8)). Which is the closest to -14\/137? (a) -1\/6 (b) 1\/5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12099 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46\/63 + -4\/9. Let c be 11\/3 - (-30)\/(-10). Let t be 4\/18 + (-41)\/(-18). What is the third smallest value in c, t, o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*18\/(540\/25).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18.74801l?\nAnswer: 18748.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, g: 2, n: 1, x: 1, r: 1, u: 2}. Give prob of sequence nxu.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = j - 4*j + 25, 0 = j - 2*s + 5. Solve -o = 5*c - 1, 0 = -c - j*o + 2 + 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -463, -711, -959?\n\"Answer: -248*p - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1391046*p - 1391121*p + 2550 for p.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 8. Let y(c) = c - 15. Let i be y(o). Let a be i\/(-2) + (5 - 5). Solve 0 = -a*z + 2*r + 1, 8 + 8 = -z - 5*r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ippetieisepssstsbt. Give prob of picking 1 s and 1 e.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + a - 62*a**2 + 64*a**2 - 3*a to y*a**2 + q*a + k and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 7*p + 3. Let s be g(6). Find the second derivative of 5*l**5 - 18*l**4 - l**5 + 10*l**4 + s*l - l**5 wrt l.\nAnswer: 60*l**3 - 96*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 11*x**2 - 2*x + 1. Let r be y(1). What is the units digit of r\/4*2 - -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 97204742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 104 = -2*m - 0*v, -3*m = -3*v - 162. Let x(y) = -17*y**3 + 2 - y - y**2 - 2. What is the remainder when m is divided by x(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7119978*a*j**3 + 281944*a*j**2 - 12*a*j wrt j.\nAnswer: 42719868*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -256, -325, -394, -463?\nAnswer: -532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-4))\/(-3 + 162\/48). Let s = -11 + 15. Sort 2, s, u.\nAnswer: u, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1723 is divided by 572.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 232 - 232 - 9*g - 13*g.\nAnswer: -22*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5*(8520\/95864 + 470\/(-115) + 4). Which is greater: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309 = 2*y - 384*s + 385*s, 2*s = 3*y + 439. Is -105 at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010110010200 (base 3) in base 4?\nAnswer: 2102110221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 77739686 and 14777?\nAnswer: 544177802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*h**5 + 2*h**2 - 28*h**3 + 28*h**3 wrt h.\nAnswer: -360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, -0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**2. Let i(u) = -31 + 51 - 16 - 22*u. Give i(q(p)).\nAnswer: 44*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 38? (a) -6\/5 (b) -2 (c) 0.5 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k + 2*k + 2*k)*(-4 + 2 + 0)*(-6 + 1 - 5) to l + i*k and give i.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**2*u**3 + 2*n**2*u + 5*n*u + 3680*n - 18*u**4 + 2157*u**3 wrt u.\nAnswer: 6*n**2*u - 216*u**2 + 12942*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 r when two letters picked without replacement from rznrrrorddrddwrwrron.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k - 9. What are the prime factors of z(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, -7, 988.07?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 149.635763*5\nAnswer: 748.178815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1274 or 1275?\nAnswer: 1274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 116458852 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - -51. List the prime factors of z.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5821, 23336, 52597, 93664, 146597, 211456?\n\"Answer: 10*b**3 + 5813*b**2 + 6*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k**2 + 17*k. Calculate i(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/14)\/((a*a**(-5\/6))\/a*a)*(a**(-3\/4))**(-13\/3))**31 assuming a is positive.\nAnswer: a**(8215\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f - 9. Let v(t) = 8*t - 14. Let b be v(4). Suppose -3*m - b = -p - 0*p, p - 22 = 4*m. Let j be s(p). Put -4, j, -3 in ascending order.\nAnswer: -4, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107185484279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y - 10*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*y + 4 = 0. Let u be 11 + -5 + 153\/(-17). Which is the closest to y? (a) 0.4 (b) 3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 601 - -80. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2215323493.\nAnswer: 43, 51519151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -113.1457 + 0.1457. What is the nearest to -1 in 3, p, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -13*y. Let a(k) = 46*k**2 + 44. Let s(m) = 91*m**2 + 79. Let i(o) = -9*a(o) + 5*s(o). Calculate i(g(w)).\nAnswer: 6929*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1001 + -1921. What is o rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 e when three letters picked without replacement from kaweaaakaweaiekaake?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 6*q - 3*q - 9, 5*n - 3*q + 1 = 0. Suppose 4*k = -5*i - n + 36, 0 = -3*k + 2*i + 9. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186218?\nAnswer: 2, 17, 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*y + 12 = 102. Let i = -3 + 3. Solve -u = i, -y*u + 5 = -s - 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7628\/318 + 5652\/449334?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*l**3 - 16*l**2 + 3108*l.\nAnswer: 222*l - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21837, -21831, -21823, -21813, -21801?\nAnswer: -21787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b1a (base 15) to base 8.\nAnswer: -13363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by -29465329?\nAnswer: -30\/29465329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 2. Suppose 0 = 4*k + o - 355, -2*o = 2*k - o - 179. Suppose k = -m + 112. Solve 5*p - 5*b - 22 = -f*b, 2*p - 5*b - m = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3303232 - -102012?\nAnswer: -3201220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 4 = -z. Suppose i = z*i. Suppose -4 = -v - i. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 40140687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/30 and -151\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-5)\/20)\/(4*2\/416)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 42 = 2*w, 2*p - 3 = -3*w + 5. Suppose -x = -o + 80, 0*x + 3*x + 390 = 5*o. Suppose -m + o = 3*t, 5*m - 1 = t - p. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 1:32 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 254 + -253. Let b = 15 - 10. Solve -b*p + t = -1, p - t = -4 + x for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10080 is divided by 2015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 6. Let w = -4 - r. What is the units digit of (-145)\/(-15) - (-4)\/w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 128*o - 1530. Determine f(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.72 + 0.88. Let i = p + -9.6. Which is the nearest to -1? (a) 0.5 (b) i (c) 1\/18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 3*a - 5. Let h be (-1 + (-5)\/(-4))*20. Let p be g(h). Let i = -79 - p. Calculate the highest common factor of 4 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 4 = 3*v - 6, 0 = -4*w + 2*v for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3667 - -29337\/8. Let h be (-2)\/(-7) - 2424\/(-42). Suppose -5*s = -h - 32. Put -5\/4, s, z in decreasing order.\nAnswer: s, z, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*t + 2 = 2*y - 190*t, 2*y + 2*t = 14 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5000, -5023, -5046?\nAnswer: -5069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 8*f**2 + 9*f + 10. Calculate the remainder when 39 is divided by o(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1652)\/16 - 1\/(-4). Let d = 274 + g. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*y**2 - 130*y**2 + 52*y**2 - 8*y**2.\nAnswer: -164*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12024461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 1, -5, -2, 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16342472 + 57*y - 16342472 + 2*y**2.\nAnswer: 2*y**2 + 57*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*v - 9*v + 1 - 24*v to f + b*v and give b.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2678528904?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) 8067 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20113770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-30)*-6 - (21 - 2440\/100).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 45*b + 22. Let t be s(2). Find the first derivative of 42*u + 69*u + t - 24 + 17 wrt u.\nAnswer: 111","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (23 - 23 - 16*z)*((-2 + 2 + z)*(2 - 1 + 1) + 2*z - 3*z + 2*z + 12*z + 5*z - 76*z) as l*z + d*z**2 + n and give d.\nAnswer: 896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 5, -5 in descending order.\nAnswer: 27, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of 0*v + 0 - 1\/150*v**5 + 2\/15*v**3 - 1\/60*v**4 - 6*v**2. Determine m, given that d(m) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -10 + 25*k**4 - 135\/2*k**2 - 5\/2*k**3 - 50*k = 0.\nAnswer: -1, -1\/2, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*d - 348 = -172 - 1664 for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, o: 1, h: 1}. What is prob of sequence okh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100101111100001 - 10?\nAnswer: 10100101111011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 9. Suppose -p + 0*h - 2*h + s = 0, h + 2 = p. Suppose 4 = 2*y - p. Solve 3*d + y + 1 = b, 5*b = -5*d - 40 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -2, 24 in descending order.\nAnswer: 24, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11253, 11211, 11061, 10737, 10173, 9303, 8061, 6381?\nAnswer: 4197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 4*o**2 - o + 19. Calculate u(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17.1 and 1.766.\nAnswer: 30.1986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6484 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 46\/(-207)*27*64\/(-288)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 8, l: 2, b: 4}. What is prob of picking 1 e and 3 b?\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight thirds of a day?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b + 10 = 18. Let f = -12 - -18. Calculate the least common multiple of f and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1034010340 (base 5) to base 6\nAnswer: -120124000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**3 - 2*p**3 + p**3)*(-8 + 8 + 4*p) - p**4 - 3*p + 3*p.\nAnswer: 11*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 366*c + 2204. Let f be b(-6). Solve -f = h - 3*m, 2*h + 2*m + 7 = -m for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2781.4 rounded to the nearest 10?\nAnswer: -2780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 10 - 8. Suppose 13*r - w*p - 4011 = 8*r, 3995 = 5*r + 5*p. List the prime factors of r.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c + 2. Let v be i(-2). Suppose 5*x + v = 3*h + 11, -4*x + 12 = -4*h. Let j(l) = -6*l - 2*l + 2*l. Determine j(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-2)\/(-15) + (-10)\/(-12).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*a - 54*a - 3*a**2 + 13*a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(500) - (4*2*sqrt(500) - sqrt(500)) - -3*-1*sqrt(500)))**2.\nAnswer: -540*sqrt(5) + 40509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1))**(-1\/8))**(-7) assuming w is positive.\nAnswer: w**(-7\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 190*q + 1618. What is u(-10)?\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lssssllsssesllre. Give prob of picking 2 e.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 25, 2*t = 5*u + 7*t. Let f(q) = -q**2 - 6*q + 1. Determine f(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyxgxyxypxs. Give prob of sequence gyy.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 47984?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 465 and 306528?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + -3 + 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 4*t - 17. Let f(d) = 2*d**2 - 5*d - 18. Calculate 4*f(i) - 5*u(i).\nAnswer: 3*i**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/h**(1\/9)))\/(h**(4\/3)*h))\/(h\/h**3)**(1\/17))**(2\/15) assuming h is positive.\nAnswer: h**(-644\/2295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 0.2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 528 + -530.248. Let g = q + 4.42. Let c = g + -2.1. Round c to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 131 + -37. Let v = -96 + o. Sort 0.3, v, 0.2 in increasing order.\nAnswer: v, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1226634*n*p**3 + 6*n*p**2 - 584398*n - 2*p**4 + 2*p - 2 wrt p?\nAnswer: -7359804*n - 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.113632 times -0.1?\nAnswer: 0.0113632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177345687*b + 90792*b**2 - 90793*b**2 - 177345687*b.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 2802812?\nAnswer: 8408436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -150, -0.04, -2\/5, 2\/13 in ascending order.\nAnswer: -150, -2\/5, -0.04, 2\/13, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x - 5*x + x)*(70*x**2 + 16*x**3 - 70*x**2 - 2) to the form k + u*x**2 + l*x + b*x**3 + m*x**4 and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 326675, 326661, 326647, 326633?\nAnswer: 326619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0 (b) 4 (c) 2 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1751890 is divided by 875897.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 6*f - 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001000011001010 + -110110100011?\nAnswer: 11000001100100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*i + 140 = 5*i. Let q(l) = -6*l**2 + 22*l + 4. Let j(s) = 3*s**2 - 12*s - 3. Let m(t) = i*j(t) - 3*q(t). Determine f, given that m(f) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i. Let a(x) = 34557412*x**2. Give p(a(q)).\nAnswer: 34557412*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 6. Let y = 3 - g. Let d = -2 + 2. What is the nearest to d in -3, 2\/5, y?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1016.02620586 + 1015.0227. Let i = 0.0035065 + w. Let j = 1 + i. What is j rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(99) - (sqrt(99) + sqrt(99)*-3))*-2)\/((1*sqrt(45) - sqrt(45))\/sqrt(5) + 1*-2*sqrt(9)))**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**5\/30 + 191*b**2 - 2*b. Let l(d) = d + 210. Give n(l(o)).\nAnswer: 2*o**2 + 840*o + 88200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23371, -23808, -24527, -25522, -26787?\nAnswer: -28316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (40\/(-6))\/((-5)\/(-15)). Let k = j - -25. Suppose -4*w - t - 11 = 0, w - 3*t + 5 = 12. Put 1, k, w, 0 in decreasing order.\nAnswer: k, 1, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w**(1\/3)*w)*(w\/(w**(2\/3)*w))\/w*(w\/(w\/w**(2\/9))*w)\/((w\/w**(5\/3))\/w))\/((w**(-8)*w\/w**1*w)\/(w**2)**32) assuming w is positive.\nAnswer: w**(656\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 81.29 - 81.4. Which is the third smallest value? (a) 61 (b) 2 (c) w (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**7\/1260 - 31*i**4\/12 - i**2\/2 - 18*i - 2. Let t(f) be the third derivative of x(f). Let z(b) = -20*b**2. Give t(z(o)).\nAnswer: 800*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -49336107270745 and 1.\nAnswer: -49336107270744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8 + 2\/2 + -2. Let o(z) = -z**3 + 3*z**2 - 2*z + 6. Let l be o(4). Let t = l - -21. Solve -5*f + s = -t for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -314*f = 420*f - 1405 - 2565 + 300 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**5\/20 - 2549*u**2. Let k(t) = t + 2192. Calculate q(k(x)).\nAnswer: 3*x**2 + 13152*x + 14414592","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6432 and 2914768.\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/25 of a minute?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1419 greater than or equal to 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n - 7. Let f be 7 + (-1 - 1 - -1). Let x be s(f). Suppose -y = -2*y - 3. Sort -4, x, y.\nAnswer: -4, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) - (sqrt(1100) + sqrt(1100) + (sqrt(1100) + 2)*-1 - sqrt(1100) - sqrt(1100))) + -2 + -4 - 2*2*2*(sqrt(1100) + -2))**2.\nAnswer: -1440*sqrt(11) + 39744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of 7*b**5\/60 + 166*b**2 + 8*b. Let f(j) = -110*j. Determine f(k(c)).\nAnswer: -770*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 230387.3l?\nAnswer: 230387300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-77)\/8547*-333*(-4)\/((-192)\/(-2))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1293965*j**4 - 147213*j - 6 wrt j?\nAnswer: -15527580*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21.979 - -0.021. Let n = d - 22.17. Let h = 0.07 + n. What is the nearest to h in -1, -5, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128 - (67 + (-89 - -57)).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 10:50 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of m**6\/120 + m**5\/20 - 5*m**4\/24 - m**3\/2 - 7*m**2. What is the units digit of v(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -54, -1190, 3, 4, -3 in decreasing order.\nAnswer: 4, 3, 2, -3, -54, -1190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -34\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6783 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: Put -2\/191, -1\/4, -0.2 in decreasing order.\nAnswer: -2\/191, -0.2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l + 0*l - 4*l + (0*l + 5*l - 10*l)*(1 + 2 - 1) + 0*l - 6*l + l.\nAnswer: -17*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n. Let c(f) be the second derivative of -494*f**4\/3 - 640*f - 1. Determine u(c(a)).\nAnswer: -1976*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*m + 46. Suppose x - m = 13. Let j = x + -22. Which is smaller: j or 2\/21?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3 + (-3 - -6) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*f - j + 15 = 0, 0 = -4*f + j + 21. Let i = 200 + -195. Let w(p) = -i - 7*p - p - 3*p**2 + 5*p + 4*p**2. Calculate w(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 6*o**3 - 7 + 9*o**2 - 3*o**3 - 9*o - 2*o**3 + 20. Let w be c(-10). Let m = 13 - -2. What is the greatest common factor of m and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 s when two letters picked without replacement from cichcscca.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {x: 1, n: 3, y: 2, a: 10}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -1.5. Suppose 5*l = 6*l - 36. Let b = 145\/4 - l. Sort n, b, 5 in increasing order.\nAnswer: b, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -2 (c) 77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 18697.\nAnswer: -2\/18697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 39 = l, -4*l + 0*l + 3*f + 5 = -128 for l.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 5*r + 2*b, -4*r + 18 = -2*b - 14. Calculate the lowest common multiple of r and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 5:34 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/380 and -73\/228?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 22*h**2 + 246*h - 4762. Give i(21).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 358.037 - 361. Let j = -0.037 + t. Which is the third smallest value? (a) -0.3 (b) 0.1 (c) j (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5152 and 42752.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 170, 232, 292, 350, 406, 460, 512?\nAnswer: 562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124 = 5*b - 6*s, -4*b + 2*s - 43 + 8 - 11 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37764931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*g - 333*g - 114*g)*(-4 + 1 + 5)*(-1 + 2 - 2 + (-4 + 2 + 5)*(0 + 0 - 1))*(4*g - 4*g - g**2).\nAnswer: -3448*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12968, 12966, 12964, 12962?\nAnswer: 12960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*y = -5*y + 264 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001 (base 2) to base 13.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -546*n - 5055 - 5893 - 10131 = 761 for n.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12061 is divided by 149.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -236 - -247. Suppose -n = 4*r + 49, -n + r - s = 18. Do -98\/3 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 359. Let p be b(0). Let o = p + 570. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x + 8*x**2 - 4*x**2 - 10 + 17. What is the remainder when g(3) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/2365215 and 74\/285.\nAnswer: 2365215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -831 or -628144?\nAnswer: -628144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1625 rounded to two dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1402804?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + (-2)\/(2 + -1). Let o(s) = -s - 3. Let l be o(w). Suppose m + 8*g - l*g = 11, -3*m - g = 9. Which is the nearest to 0.1? (a) m (b) 5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98700 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t + 20. Let i be g(-4). Does 4 divide (-12)\/9*(i + -3)*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 4)*(796*y + 23*y**2 + 2 - 795*y - 138*y**2).\nAnswer: -460*y**2 + 4*y + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -813 = -355*a + 252. Let k(b) be the second derivative of 2\/15*b**a + 2\/75*b**6 - 1\/15*b**4 - 1\/25*b**5 + 0 + 0*b**2 + 39*b. Factor k(j).\nAnswer: 4*j*(j - 1)**2*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 86 + 29 = 2*r, -4*r - 159 = 3*u. What is the common denominator of ((-5000)\/(-280))\/(r\/14) and -35\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.1 * 2.2.\nAnswer: 13.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h. Let f(g) = -60 + 2*g**2 + 3*g**2 - 2*g + 60. What is f(m(i))?\nAnswer: 5*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - -1) + (3 - (180 - 3)). Let d = c - -184. Solve -9*m - 1 = -d*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*k**2 + 0 + k.\nAnswer: k*(k + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 456, 0, -234, 10 in ascending order.\nAnswer: -234, 0, 10, 456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -6. Let y = 18 + -13. Suppose -15 = -0*c + c - y*q, 41 = 5*c + 4*q. Do c and p have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 11*w**2 - 62*w - 1264. Let b(d) = d**2 - 8*d + 2. Calculate -8*b(x) + i(x).\nAnswer: 3*x**2 + 2*x - 1280","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.2 plus -7?\nAnswer: -44.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 9*o**2 - 3*o + 20. What is h(9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 285531, 290914, 296297?\nAnswer: 301680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 28*v - 55. Let n be b(30). Solve n*g - 19 = p, 2*p + g + 4 = -1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 17 - 29 = 0. Suppose -p*s + 2*s - 5*t = -41, 5*t = -3*s + 37. Let i = 1 + 0. Solve s*g - i = 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5253415309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 2:31 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.048564721 to three decimal places.\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(68)*2)**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m**2 - 5*m**2 + 3*m**2 + (-1 - 2*m + 1)*(4 + 2*m - 4) + 2*m - m**2 - 2*m + 678*m**2 + 3 - 19 + 13 + 3 to n*m + h*m**2 + s and give h.\nAnswer: 674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 2671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2515 - 825. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/1320 and -113\/9708.\nAnswer: 1067880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kmmmmmhmhmmhmhymm. Give prob of sequence yh.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 372765331, 745530660, 1118295991, 1491061324, 1863826659?\n\"Answer: b**2 + 372765326*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4342, 2, -69, 0 in increasing order.\nAnswer: -4342, -69, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(385)\/sqrt(7))\/sqrt(11) - sqrt(60)\/(sqrt(24)\/sqrt(2))) + sqrt(30)\/(sqrt(54)\/(sqrt(9) - (sqrt(54)\/sqrt(6) - sqrt(9))))*-1.\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10647037?\nAnswer: 67, 367, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*((z*z\/(z**5\/z))\/z)\/z)**(-1\/19))**47 assuming z is positive.\nAnswer: z**(141\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 951 + -284. What are the prime factors of x?\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73 + -78 - 94\/(-18)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-5)*2\/2*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pq when two letters picked without replacement from {w: 6, q: 4, n: 1, j: 4, p: 2}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9.104913km?\nAnswer: 910491.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/12 (b) 5 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from omonmn. Give prob of sequence monm.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 20 - 15?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 212320675 to the nearest integer?\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t - 2. Suppose -w = -39 + 4. Suppose -2*r - 3*r + w = 0. Is p(r) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-442)\/(-156))\/((-17)\/34)?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/((w*w**(-2\/3))\/w)*w)**(-33) assuming w is positive.\nAnswer: w**(-121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -358 + 369?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 7*y - 5 = 0. What is the nearest to 0.1 in 3, y, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 996098\/27 or 36893?\nAnswer: 996098\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v. Let n(p) = -306*p**2 + 6*p. What is k(n(o))?\nAnswer: -1224*o**2 + 24*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2110220 (base 3) to base 11.\nAnswer: 13a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v + 13 = 90. Solve 2*r = -v*r + 45 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 - 1. Let w = 92 - 92. Calculate f(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 10*c**2 - c + 52. Determine k(11).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -1.6, 3\/2, -5 in decreasing order.\nAnswer: 3\/2, 0.4, -1.6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-238 - -73 - -40) + 1 + 8.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03724 and -0.04.\nAnswer: 0.0014896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -e3db (base 16) in base 5?\nAnswer: -3331311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/39 and 17\/30?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8599 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 8 - 1 - 19*t**2 - 4*t + 15*t**2. Let w be k(2). Round w to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17567 + 8801 - 11*b**2 + 8766.\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -286 + 292. Suppose 90386 = d*q + 19724. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 + 92. Is c a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 - (39 + -35)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t - 4. Let b be x(2). Let d(q) = -38 - 19 + 15 + 92 + q - 25. Give d(b).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - -2) + -8 - 1. Let f = 14 + q. Suppose 3*h - p = p + 75, f*h = 4*p + 100. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8857 and 420546.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1336.072 rounded to the nearest 10?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 11*j - 50. What is the remainder when l(-19) is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 6\/4*22. Suppose -20 = 5*y, -6*h - 3*y = -2*h - m. Calculate the remainder when 43 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 957208915 to the power of 1\/2, to the nearest integer?\nAnswer: 30939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + (-3)\/(-9)*3. Suppose -5*j + 0*j = -z - 21, -f*j = -5*z. Solve -x + v = -v + 2, 5*v - 10 = j*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 2:08 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1389, 2778, 4169, 5562, 6957?\nAnswer: 8354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -433\/446984 + 27\/947. What is the common denominator of -25\/354 and l?\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 44\/7? (a) 12370\/7 (b) 8\/7 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/396 and -91\/4356.\nAnswer: 4356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4204265327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*v**2 - 79 + 79)*(-2*v + 3*v - 3*v)*(-3*v + 0*v + v) as k*v + g*v**3 + z*v**4 + a*v**2 + o and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325 + 295 = 6*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2. Let o(j) = 2*j - 9. Let t be o(7). Let k(c) = -3*c - 5 + t. What is k(u(y))?\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 173 = -5*m, 24*m + 760 = 5*k + 28*m. What is the remainder when k is divided by 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1162 - 1152. What is the smallest common multiple of b and 34?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 g when four letters picked without replacement from ccgcccg?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 134817157 to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 4 - 70*o + 3 as z*o + q and give z.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 49*p - 10 = -45*p, -2*p = 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y. Let l(c) = 49*c - 24. Let n(z) = -12*z + 1. Let m(t) = l(t) + 4*n(t). Determine m(h(k)).\nAnswer: k - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v**2 + 27*v + 44. What is i(7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 285 - -5?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 8*z - 44. Let i(u) = -5*u + z*u**2 + 11 - 2*u - 9*u + u**3. Is i(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/48 and -121\/12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**3 - 4*c**2. Let j be k(-3). Suppose -n + 3 = 5*t - 6*t, -t + 13 = 3*n. Calculate the greatest common divisor of n and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.11486 * 0.1.\nAnswer: 0.711486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/723325 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 236 + -140. Let a be l\/15 + 2\/(-5). Find the third derivative of -1 - 1 - 3*m**a + 3*m**2 + 2 wrt m.\nAnswer: -360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 5*x**2 - 22*x + 56. What is w(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 9.3. Let f = p + 1. Let z = 2.065 + -0.065. Which is the third smallest value? (a) f (b) z (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(-47*j**5 + 40*j**5 - 81*j**5 + 2*j**3).\nAnswer: 88*j**5 - 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3 = -5*n. Factor -3*w**n - 3*w**3 - w**4 + 5*w**3.\nAnswer: -w**3*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 10335367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tdddtdddtddd. What is prob of sequence dt?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 71*x**4 - 54990*x**3 + 12639011*x**2 wrt x.\nAnswer: 1704*x - 329940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 15) to base 6\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -102*i**7\/7 + 2*i**5\/5 + 268*i**3\/3 - 14. Find the third derivative of b(v) wrt v.\nAnswer: -12240*v**3 + 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - (-21)\/3) + 36. Suppose -4 = f, -l + f + c = l. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41044\/23 - -1784. Let w = i + -445\/161. Let j = w + 143\/35. Sort 0, 5, j in decreasing order.\nAnswer: 5, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 442 and 9880?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -68038 or -1608\/19?\nAnswer: -1608\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -418 - -242. Let z = -140 - t. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1253883872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -4*n + n - 10*s - 34 + 88, -n = 4*s - 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.53 - -0.03. Let d = 91 - 85.95. Let v = -0.05 + d. Which is the third biggest value? (a) v (b) -3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 70 = 2*j, 37*w + 0*j + 211 - 37 = -w + 4*j for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 320 and 1976016.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 8*y**2 + 14*y + 13. Let a be o(7). Let k = -67 + a. What is the lowest common multiple of 6 and -2*((-15)\/(-6))\/k*19?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5 = 7. Let j = y - 3. Suppose j = k + 3*o + 2*o + 8, -3*k - o = -18. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 8592*r**2 + 152*r - 791. Is w(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21.1 * -2570.12\nAnswer: -54229.532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 259823548 to the power of 1\/2, to the nearest integer?\nAnswer: 16119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 168 and 1204?\nAnswer: 7224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 8 + 11*q - 1 + 1 in the form z + a*q and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + sqrt(14)\/sqrt(2) + 3 + sqrt(7) + (sqrt(700) + 2)**2*6).\nAnswer: 1452*sqrt(7) + 25356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvkv when four letters picked without replacement from kkkkvkkkkkkv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/27 of a week in seconds?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/14*1827\/(-29)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) 3 (c) 1 (d) 1\/5 (e) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00011161 rounded to 6 decimal places?\nAnswer: -0.000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/79868 and -119\/95120.\nAnswer: 46323440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4788 and 5852?\nAnswer: 52668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404 is divided by 41?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72.96 - 73. Let i = r - -0.34. Let v = 8 - 4. Which is the nearest to i? (a) v (b) 2\/17 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*z + 7*z - 4*z)*(-3 + 1 - 7*z + 4) in the form m*z**2 + y*z + p and give m.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from scmcphcspsspmms. What is prob of picking 1 h and 1 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven halves of a microgram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2567795679?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 g when four letters picked without replacement from xggpx?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*s - 465 = 0, 5*s + 22 - 2 = 0. Suppose 0 = -g - u + 163. Sort g, 3, 2, -12 in decreasing order.\nAnswer: g, 3, 2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 42424 - -2?\nAnswer: 42426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/1206 and -95\/2814.\nAnswer: 8442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 16, 2, 3 in increasing order.\nAnswer: -2, 2, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5141\/8 + 639. What is the common denominator of t and 61\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 0*p + 35. Let l = -23 - p. What is the units digit of l\/4 - -5*5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yrhr when four letters picked without replacement from bfrrrbhfrfkryrkrrrhr.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/3 (b) -30.5 (c) 1\/31 (d) 0.263\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 633534457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10140)\/100 - 3\/5. What is the tens digit of (7 - 10) + t\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u - 7. Let v(n) = -918*n**2 - 2*n + 916*n**2 + 2*n. What is v(z(s))?\nAnswer: -2*s**2 - 28*s - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137968698.\nAnswer: 2, 3, 7, 181, 18149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 486549\/(-15) + (-6)\/(-10). Let n be 1\/(-3) - 7149\/a. Let q = -1\/212 + n. Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w + w**2 + 2*w + 11*w**2 - 3*w to u + y*w + p*w**2 and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (5*((-2 + sqrt(208))*-6 + (sqrt(208) - 2*sqrt(208)) + 3 + sqrt(208)))**2*6)*-4.\nAnswer: -4627808 + 432000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 11:19 PM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2271.\nAnswer: 3, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 13231?\nAnswer: 13223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x**3 + x**2 + 2. Let z(n) be the first derivative of 1\/4*n**4 + 0*n**2 + 11 - n + 0*n**3. Determine -2*r(d) - 4*z(d).\nAnswer: 2*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14290121.\nAnswer: 14290121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 967 = 79. Let n be (-42)\/((-4)\/96*-9). Are w and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = 3*l + 2*r, -2*l - r + 101 = 13. Let m = -2 + 5. Let v be (0 - 1) + m + 26. What is the highest common divisor of v and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 158119\/9 + -17569. Let d = -0.8 + 0.5. What is the nearest to y in -0.5, d, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + t - 23 = 0, 17*u + 0*t + 43 = 28*u + t for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86, 653, 2166, 5093, 9902?\nAnswer: 17061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2405052, -4810088, -7215098, -9620070, -12024992, -14429852?\n\"Answer: 2*h**3 + h**2 - 2405053*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.04819 + 1.04819. Put -0.2, b, -0.086, 5, 3 in ascending order.\nAnswer: -0.2, -0.086, b, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1743 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 245213136 divided by 3714?\nAnswer: 66024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1136075814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -134 (b) -1\/10 (c) 3 (d) -2 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5420741l in millilitres?\nAnswer: 542.0741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + 258 + -84 + (-4 - 22).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1080*a**4 - 2*a**3 - 53*a - 17?\nAnswer: -12960*a**2 - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1374545159898 and 4.\nAnswer: -1374545159894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (13\/(-4) + 4\/16)\/(-3). Let r = -4 - -4.04. Are r and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-540)*25*(9\/54 + 205\/(-150))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -164643 - -164657. Let j(o) be the second derivative of -5*o**5\/4 + o**4\/6 + o**3\/6 + o. What is the smallest common multiple of j(-1) and p?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 2\/45, -5, 2 in decreasing order.\nAnswer: 2, 2\/11, 2\/45, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 156?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-two fifths of a gram?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17361 + v - 17361 - 12*v - 12*v.\nAnswer: -23*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 4.8. Let d = 8.5 + -8. Which is the second smallest value? (a) k (b) 4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 n, and 2 z when four letters picked without replacement from {z: 5, k: 1, n: 4, x: 5, i: 3}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236594206?\nAnswer: 2, 37, 3197219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/477 and -125\/4452?\nAnswer: 13356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 81*u**2 + 1137*u - 39. What is o(18)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6 - -0.6. Let z = s - -3. Which is the closest to 1? (a) -1\/6 (b) 1\/2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b*w**2 - 660*b*w - b - 324 with respect to w.\nAnswer: 4*b*w - 660*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-3)*(-16)\/384.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20996*z**4\/9 - 2456534*z**3\/9 + 10644998*z**2 - 138385650*z + 13182.\nAnswer: 2*(z - 39)**3*(10498*z - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 614, 1165, 1716, 2267?\nAnswer: 2818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -5*h + 69. Let z be b(-10). Find the second derivative of 0*q**3 - 111*q**2 + 4*q + q**3 + z*q**2 wrt q.\nAnswer: 6*q + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 831551223?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 253769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -103 (b) 10 (c) -4\/53 (d) -13\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -1290\/11*w + 18\/11 + 23744\/11*w**2 - 22472\/11*w**3 = 0. What is w?\nAnswer: 3\/106, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.18427 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -182508 minus -110382?\nAnswer: -72126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 0.5001.\nAnswer: -2.5005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 9. Let n = j + 3. What is the tens digit of 126\/10 - n\/(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*j**3*s**3 + j**3 + 2*j*s + j + 31349*s**4 - 37161 wrt s.\nAnswer: -36*j**3*s + 376188*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 947, 965, 983, 1001, 1019?\n\"Answer: 18*b + 929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ofhfhhhhxhhhhhh. What is prob of sequence fo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 354\/5 or 70?\nAnswer: 354\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0361 from -1943559.\nAnswer: -1943559.0361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 415 times 21219\nAnswer: 8805885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 6 + 5 + 4*u**2 - 26.\nAnswer: 4*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 81663479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lululuzulzducullcuzz. Give prob of picking 2 l, 1 d, and 1 z.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 - 137*t**3 + 273*t**3 - 135*t**3 - t**2. Let l(g) = 17*g**3 + 5*g**2. What is -5*b(w) + l(w)?\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**4\/12 + 16*y**3\/3 - 14*y**2. Let b(v) = 2*v**2. Determine t(b(m)).\nAnswer: 4*m**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 1718*n - 51797. Give s(33).\nAnswer: 4897","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -29476, 0.06, 11 in ascending order.\nAnswer: -29476, 0.06, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/10)\/j**(-1\/6))**(-9\/13) assuming j is positive.\nAnswer: j**(-3\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -69. Let s = -62.00514 + y. What is s rounded to four decimal places?\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/5 of a centimeter?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, m: 1, y: 1}. What is prob of sequence jy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 c when two letters picked without replacement from {v: 2, j: 2, x: 1, n: 1, c: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -167 - -174. Suppose 23*c - 33*c + 60 = 0. Solve c*n - 17 = y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8612544?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 87 (b) 2\/5 (c) 1158 (d) 2\/17 (e) 2\/7 (f) 0.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 161 = -3*a, 64 = 5*a - f - 175. What is the remainder when a is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*q - 2*q + 1175. Solve -8*m + 7 = -q for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -514 + 2056 = 121*n + 136*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/6*(29\/203)\/((-180)\/(-84)).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1918, 0.5, -6, -0.5 in ascending order.\nAnswer: -1918, -6, -0.5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2270\/(-54))\/(9\/(-12)). Let m = p + -39568\/81. Let s = m + 432. Which is the third biggest value? (a) s (b) -2\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-5 + -3 + (sqrt(1053) - (0 + sqrt(1053))*-6) + sqrt(156)\/((sqrt(12)*3 - sqrt(12)) + sqrt(12)) + sqrt(13) + sqrt(52)\/(sqrt(24)\/sqrt(6))))**2 + 5.\nAnswer: -50176*sqrt(13)\/3 + 7999789\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 5. Let w = 13 + m. Let o = 5.5 - w. Which is the smallest value? (a) -3\/7 (b) 0.3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9543202?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = 12*s. Suppose -3*w = -4*x + 796, 5*x + 0*w + 2*w - 995 = s. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 22\/541?\nAnswer: 22\/541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ab when two letters picked without replacement from {a: 1, y: 2, e: 1, l: 2, b: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.13 (b) 0.1 (c) -2 (d) 4\/47 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2678 = k + 515. What are the prime factors of k?\nAnswer: 3, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 - 2*s**2 + 0*s**2)*(1 + 5 - 3)*(74 + 122 - 157 + (0 + 4 - 2)*(-1 + 4 - 5) + 1 + 3 - 1).\nAnswer: -228*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*r - 870 = -13*r. What is the remainder when 164 is divided by r?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 631791646?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + w**2 + 2)*(-125*w - 4 - 8 + 131*w) to the form h*w**2 + r + v*w**3 + o*w and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 87 + 0.0678.\nAnswer: 87.0678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s - 13. Let n be u(8). Solve -f = 2*f - n for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.85 (b) -1\/3 (c) -0.2 (d) 1 (e) -10\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19666 + 97622\/5. Let w = z + 142. Which is smaller: 2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3773 + 13031. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/890325 and -34\/27.\nAnswer: 890325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11.7233 or 23?\nAnswer: 11.7233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(2*126\/(-36)))\/(3\/14).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - -8a?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**3 + 2*h**4 - 60 + 4*h**2 - h**4 + 62 as d*h**4 + p*h + g + w*h**3 + r*h**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4629*x - 210*x + 2291*x - 6251*x.\nAnswer: -8799*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -655 - -673. What is the greatest common divisor of 513 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2808 and 91728?\nAnswer: 275184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.03 (b) -17 (c) -3\/91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4154*s = -677*s + 135336 + 160209 for s.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 12:42 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -19. Solve j*l = -9 - 11 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, 4, 48, 140, 298, 540?\nAnswer: 884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*3\/(-9)*0. Suppose -5*w + 3*o + 163 = i, 4*o + 89 = 3*w - 0*o. Calculate the greatest common factor of w and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - -4) + 13 - 19.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1008) + -3 + 5 + sqrt(1008)*2)**2.\nAnswer: 216*sqrt(7) + 9081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0141735403 to three dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, q: 3, s: 1, d: 1}. What is prob of sequence dh?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, 0.26, 5?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 3) + (-1 - -5) + 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of o**5\/30 + o**4\/24 - 3*o**3\/2 - 5*o. Let i(k) be the second derivative of x(k). Determine i(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 2*l**2 - 5*l + 4. Let t(o) = -o**3 + 25*o**2 - 25*o + 27. Let w be t(24). Determine k(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -202 + 96. Let k = x + 106. What is the second smallest value in 21, k, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 113*y**2. Let j(k) = -228*k**2 + 15*k - 2. What is j(t(u))?\nAnswer: -2911332*u**4 + 1695*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 66*(-2 - 21\/(-9)). Suppose -i = -4, 3 + 3 = b + i. Suppose -5*p = -3*f - 770, b*f = 4*p - 0*f - 616. Calculate the highest common factor of l and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 106.39 and 4424.\nAnswer: 470669.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4399184l to millilitres.\nAnswer: 439.9184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -5*f + 60, f + 381*k = 366*k + 110 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 = m - 6*m + 324. Which is bigger: 136 or m?\nAnswer: 136","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.25 + 0.05. Let j = 1.035 + -1059.035. Let o = 1062 + j. What is the nearest to 1\/4 in o, g, -10?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -50*y**3 + 15*y**2 + 15*y. Let a(t) = 7*t**3 - 2*t**2 - 2*t. Calculate 15*a(p) + 2*w(p).\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 + l**2 - l**2)*(311 + 3317*l - 311 - 2028*l)*(-2*l + 0*l + 5*l).\nAnswer: -3867*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -257182035, -257182039, -257182045, -257182053, -257182063?\nAnswer: -257182075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (19 - (3 + -3)). Let q = -1 - 2. Calculate the remainder when 0 - (u*1)\/q is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155246953831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 235984 and 280.\nAnswer: 1179920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -123 + 5*u + u**3 + 3*u**2 + 5*u + 27 - 36*u**2 + 25*u. Let n be g(32). Solve 5 = -l - n for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*2*(-35)\/(-63))\/((-84)\/(-18))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -l - 3*l, 3*p - 4*l = -352. Let i = p + 114. Let v be 81\/18 + (-2 - i\/4). Solve -v*c - c = -5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - h + 2*h + h + 4*h - 2*h - 2*h + 0 + 0 + (-4 + 3 + 2)*(4*h - h - 2*h) - 45 + 45 - 22*h)*(-3 + 4 - 2)*(4 - 3 - 3) - 2*h + 0*h + 0*h.\nAnswer: -38*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7616036 and 2?\nAnswer: 7616036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + -5 - -5 - -10. Let s = -2 - -2. Suppose -2*k - 18 = 4*y - 46, 4*k - 41 = -5*y. Solve -k*h + s*h = j for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggs when three letters picked without replacement from {g: 9, s: 7}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81029684?\nAnswer: 2, 17, 1191613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(288) + (sqrt(16)\/(sqrt(8) + (sqrt(8) - (sqrt(8) - sqrt(32)\/sqrt(4)))))**2 + 5 + 3.\nAnswer: 13\/2 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 10*r**2 - 8*r - 60. Let n be s(-4). Let u be (22\/n)\/(3\/6). Which is the nearest to -1\/9? (a) -2\/3 (b) u (c) 1 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -28*a + 9*a + 10*a - a**2 + 9*a. Let k(p) = -229*p**2 - 13. Give q(k(l)).\nAnswer: -52441*l**4 - 5954*l**2 - 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 63.4903\nAnswer: 64.4903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1380, 1440, 1578, 1806, 2136, 2580?\nAnswer: 3150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 2.3. Let v = 686 + -725.9. Let l = -37.9 - v. Which is the third smallest value? (a) 0.2 (b) y (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 169, 3, -2\/11, 1\/3 in descending order.\nAnswer: 169, 3, 1\/3, -2\/11, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 4*i + 5*w - 79, i + 2*w - 19 = 0. Let c be 35\/(-10)*(-6)\/7. What is the remainder when i is divided by (-5)\/1 - c*-4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two ninths of a week?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 8:06 AM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) -1\/2 (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.541 (b) 0.4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g**2. Let k(c) = 2*c + 3. Let f(s) = -36829*s - 50994. Let i(l) = f(l) + 16998*k(l). Calculate i(q(y)).\nAnswer: 8499*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 260, -124, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -112364031 (base 7) to base 15\nAnswer: -911693","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -66\/5 - -196\/15. Is -1 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2554285727*a**2 + 2554285727*a**2 + 5*a**3.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + v + 8 = 0, -3*o = -3*v + v - 16 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 690 = -4*u, u = -97*f + 96*f + 321. Calculate the remainder when 474 is divided by f.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1214104 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 9 - 2*q - q + 4*q + q. List the prime factors of s(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**3 + 15*d**2 - 6*d + 4. Let x = 17 + -13. Calculate the lowest common multiple of 10 and h(x).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.37596724 to three decimal places.\nAnswer: -25.376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -447.80047 - -425.8002. Let g = -22 - r. Round g to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of t**3\/3 + 98. Let z(w) = -3*w**2 - 31. Determine m(z(j)).\nAnswer: 9*j**4 + 186*j**2 + 961","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 32, 46, 68, 98, 136, 182, 236?\n\"Answer: 4*y**2 + 2*y + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 26 - 6. Suppose 113*g + 84*g = -62*g + 2331. Sort -3, 1, t, g.\nAnswer: t, -3, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.49 (b) -0.2 (c) -2\/11 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2670, -5687, -8704?\nAnswer: -11721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -21.8414711844 from 0.3.\nAnswer: 22.1414711844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4492*w**2*x**4 - w**2*x - 2*w*x**5 + 2*w*x + 221*x**2 - 2*x wrt x.\nAnswer: 107808*w**2*x - 120*w*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3309 (base 12) to base 4\nAnswer: 1113321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -7. Solve -a + 2*a = m for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 1988.\nAnswer: -3976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259 = -u + 4. Let k = u - 101. Is k a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 215.5605ml to litres.\nAnswer: 0.2155605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00020529 to five decimal places.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -14946 (base 11) to base 16\nAnswer: -5270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 13*w**2 + 37*w - 7. Let c be 1\/(-3)*-1*(-3 + 30). Let t be l(c). Let x = 0 + 0. Solve j + 3*q - 4 = x, t*j - 4*q + 0 - 8 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37614092 to the power of 1\/4, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i + 71. Let k be l(-14). Let d = 0.07 + -0.37. Which is the closest to d? (a) -0.2 (b) 2\/9 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -6*c**3 + c**2 + 2*c - 1. Let u be m(2). Let i = -75 - u. Let j = i + 60. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -30214111?\nAnswer: -30214101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 6 = -2*j + 8, -2*j = 3*m - 10. Suppose -j - 5 = -8*i. Let p be (-48)\/32*(2 - i\/3). What is the closest to p in 0, 0.3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**13*f**(-2))**(-16)\/((f*f\/((f**(-2\/9)\/f)\/f))**(2\/9))**(-1\/37) assuming f is positive.\nAnswer: f**(-527396\/2997)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-4)*(-2)\/2*0. Let g = -684 + 38989\/57. Are q and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = r + 277, 4*d - 218 = 2*r + 56. Is 18 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1330 + 3331033?\nAnswer: 3323103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 - 49 + 87 - 170*d.\nAnswer: -170*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/53)\/(z\/(z**(-23)*z*z*z)))\/(((z**(22\/5)\/z)\/z*z*z)\/z**(5\/7)) assuming z is positive.\nAnswer: z**(-45862\/1855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -2\/9, 84.8, 1\/4, 0.5 in decreasing order.\nAnswer: 84.8, 0.5, 1\/4, -0.2, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-129 - 2) + (-377 - -375)\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -548\/5 + 110. Let w = 26\/15 - i. Let h = 0.8 - 0.8. Which is the closest to w? (a) h (b) 4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2095241, -3 in decreasing order.\nAnswer: 2095241, 8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*c - 2. What is the tens digit of (18\/21)\/(c\/14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2091119763?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 96, 189, 284, 381, 480?\n\"Answer: y**2 + 90*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -1011000011010110100100100?\nAnswer: 1011000011010110100101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-5\nAnswer: 2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-2\/9))\/b*((b**9\/b)\/b)\/b*b**7\/(b*b**(-1\/2)) assuming b is positive.\nAnswer: b**(221\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/9*42\/(-245))\/(741\/(-65)).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -106600 by 10.\nAnswer: -10660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 15. Let f = q + 14. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 127461939 or 127461930?\nAnswer: 127461930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 0. Suppose 0*z = -z - p. Let r be (-3)\/(((-30)\/z)\/5). Put r, 4, -3 in descending order.\nAnswer: 4, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -73 + 95. Let f = -137 - -223. Calculate the remainder when f is divided by h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.336 - 0.036. What is the biggest value in 12, -0.3, a?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-4 + -2)\/(200\/(-96) + 2) and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 8*z**2 + z - 29. Is 13 a factor of i(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 16064, 32805, 50202, 68255, 86964?\n\"Answer: 328*g**2 + 15757*g - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 132?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*r + 86 = -882 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 279687137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-6))\/((-4)\/30). Find the second derivative of -s*f**3 + 3*f**3 - 8*f + 16*f**3 wrt f.\nAnswer: 84*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 10*f**2 + 19*f - 19. Let k be l(8). Let g(a) = -4*a**3 + 4*a**2 + 1. Let v(w) = -9*w**3 + 8*w**2 + 3. Determine k*g(r) - 2*v(r).\nAnswer: -2*r**3 + 4*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -17471, -35768, -54065, -72362, -90659, -108956?\n\"Answer: -18297*m + 826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*b + 72 = 2*p, 2*b = 8. Suppose 0 = 3*f + 4*u + 4, 0*f + 4*u = 3*f - p. Suppose -5\/2*w**2 + 0 + 3\/2*w + 1\/2*w**f + 1\/2*w**3 = 0. Calculate w.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 935711 to the power of 1\/2, to the nearest integer?\nAnswer: 967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (1 - 2) + 5 - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -104, -71, -50, -47, -68, -119, -206, -335?\n\"Answer: -o**3 + 40*o - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, l: 2, y: 4, q: 6}. Give prob of picking 1 y, 1 l, and 1 q.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -75*t + 212. Let j be o(8). Let z = j - -430. Suppose y = 10 - 1. Calculate the remainder when z is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p + p - 2*p. Let c(v) = 4*v**2 - 30 + 30 + 0*v**2. Determine t(c(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - a + 215, -4*i + i = 3*a - 159. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 17*v = 6*p + 21, 5*p + v + 1841 = 1806 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1161*u = -1173*u + 12. Which is the closest to -1\/5? (a) -3\/5 (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 162, 717, 1650, 2967, 4674, 6777?\n\"Answer: o**3 + 183*o**2 - o - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -331\nAnswer: 5\/331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -1\/29, 1.1, -150?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -103, 2\/3, 2, 0.4 in ascending order.\nAnswer: -103, 0.4, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*m - 19*m - 10*m)*(1 + 3 - 6)*(0 + 3 + 1) to x*m + s and give x.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.34 * -0.4.\nAnswer: -1.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**2 + 1926*a + 428572 = 0?\nAnswer: -614, -349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*v - 4*v + v - 9 + 11 as c + r*v and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(891)*-1 + -3 + -4) + 3)**2.\nAnswer: 72*sqrt(11) + 907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -w**6\/480 + 31*w**5\/240 - 73*w**4\/32 + 63*w**3\/8 + 1884*w**2. Factor k(d).\nAnswer: -(d - 21)*(d - 9)*(d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 z when two letters picked without replacement from nannnvxzxxznvnxxnvn.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006850647 to 5 decimal places.\nAnswer: 0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -65, -93, -121, -149?\n\"Answer: -28*v - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -7*b**3 - 473*b**2 - 287*b - 854. Give t(-67).\nAnswer: 419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-138)\/18 - -7)\/(17\/(17\/(-4))). Sort 4, -2\/21, -91, z in ascending order.\nAnswer: -91, -2\/21, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**3 + 2*x**2 - x. Let b be u(1). Let o = 15 + -5. Solve -b*a + a = o for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-6))\/((-6)\/(-9)). Suppose -2*h + 5*p = -9, -3*p = -d + 10. Sort 2, 3, h.\nAnswer: h, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/390 + 1\/(-5).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5 + 18 = -4*h, -t - 17 = 5*h. Solve 2*s + 5 + 17 = 5*o, 0 = -2*s - t*o + 10 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -7*y**2. Let w(v) be the first derivative of v + v**2 - v + 0*v**2 - 11. Give w(m(x)).\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (92\/4)\/((-409)\/(-409))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -17*z - 20. Let w(j) = -35*j - 6 - 13 + 18*j. Let k(l) = 2*a(l) - 3*w(l). Is k(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 585118 + -335111. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 2:10 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 143073 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150100 and 845500.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + f = 3*f, 3*t - 3 = -f. Suppose -t*p = p + 12. Let w = -1.2 + 0.2. Which is greater: p or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 + -19. Let a(w) be the third derivative of 0*w + 0*w**3 - 1\/12*w**4 + 0 - 5*w**u. Give a(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 5860?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 + 77*h + 32*h - 46*h.\nAnswer: 3*h**2 + 63*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -5397\nAnswer: -2\/1799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*y = 122. Let d = -5 - -5. Suppose 5*o - y - 14 = d. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 132 = 6*l + 4*r, 42 = 2*l - 2*r. Let s be 425 - (2 + 1 + -2). Let p = s - l. What is p rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (88 - 31) - 105?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 * -3249\nAnswer: -2924.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 10\/(-8)*-4. Suppose 0 = c*b + b - 132. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35836 is divided by 4461.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/5 + 6419948*n\/3 - 3566638\/5.\nAnswer: 2*(n + 5349957)*(3*n - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - s - 48 = 0. Let i be s\/21*(-4)\/(-8)*-7. Which is the closest to 1? (a) -0.3 (b) i (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41\/35 - -11\/7. Let x = 0.25 - -0.05. What is the biggest value in o, x, -0.02?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 + l - 3. Let u(c) = -11*c**2 - 6*c + 14. Let b(k) = -5*h(k) - u(k). Let j(q) = -3*q**2 - 5*q - 5. Give -10*b(y) - 2*j(y).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 6*h**3 - 7*h**2 + 3*h + 3. Let o(y) = 2*y**3 - 2*y**2 + y + 1. Let i be 1\/(4 + (-14)\/4). Determine i*d(j) - 7*o(j).\nAnswer: -2*j**3 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 270694, 541375, 812056, 1082737?\nAnswer: 1353418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5105627 to 2 dps.\nAnswer: -0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyiyiy. What is prob of picking 2 y?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 46\/3 - 6\/(-9). Suppose -a + 4 = -d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + -4 + 4 - -4 - -63. Suppose -4*x - 3 = -6*x - c, 0 = 2*c + 2. Suppose 0 = -4*w - 4*r + h, -x*w = -2*r + 5*r - 39. Sort 0, -2, w.\nAnswer: -2, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -5*a + 2697, -3*s + 1197 = 2*a + 109. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1040*c - 4991*c + 345681 + 323760 = 0 for c.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -833*l + 414*l + 14246 for l.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -10131661?\nAnswer: 10131661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2858 + 2858 - 6*j**3.\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(3\/5))\/q*q*q\/q**(-8)*q*(q*q*q**(-2\/41)*q)\/q*(q**22\/q)\/q assuming q is positive.\nAnswer: q**(6878\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-20)\/(-10))\/((-2)\/(-3)). Suppose k*w - 5*w + 8 = 0, 4*a = -3*w + 12. What is a rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {u: 4, f: 6, t: 8, n: 1, z: 1}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 7*r - 10066 = -11*r, -4*f + 2*r = -8058. Is f a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 4*y + 2*s, -10*s = 3*y - 7*s for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*27\/(-12))\/(-6).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6238b + 32?\nAnswer: -62359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/40 - 113\/(-4) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**5\/30 + 7*i**4\/12 + 23*i**3\/6 + 13*i**2. List the prime factors of t(-8).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**4 + 191 - 32*a**3 - 39*a**3 + 18*a - 43*a**3 - 17*a + 116*a**3 in the form d*a + i*a**4 + x*a**2 + o + l*a**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 4112784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 31708416.\nAnswer: -31708416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43988 - -62840. Suppose 13*z = z + j. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19259.\nAnswer: 19259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r - 48. Give j(-11).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 119102991 to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100 (base 2) in base 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10549 + -10546. Which is the nearest to 1\/4? (a) 5 (b) 0.01 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5025 + 510172?\nAnswer: 515207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 382 + (-12)\/(-4 - 0). Suppose l = k + 4*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5 + 1 + sqrt(1584))**2.\nAnswer: 264*sqrt(11) + 1705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 455440 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2934 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-7))\/(3*8\/(-84)). Let t = 0.5 + -2.5. Which is smaller: b or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6184 - 3420. Let p be (-4)\/14 - u\/28. What are the prime factors of (p - 3)*(-1)\/3?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(425) + sqrt(425)*2 - (sqrt(425) + (sqrt(425) + 1)*-4 + sqrt(425) + sqrt(425))) + 4)**2.\nAnswer: 160*sqrt(17) + 6816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 250896 and 192?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -7 + (-7 - -5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 12:25 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -45, -60, -75, -90, -105, -120?\n\"Answer: -15*v - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18.87 + -0.13. Let i = 24 + z. What is the nearest to 0.02 in 0, -0.2, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 16*s = -6708. Let a = 1693 + s. Calculate the greatest common factor of a and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -121 + 61 - (11 + 26)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*h**2 - 156*h*s**2 - 2*h*s - 241*s**2 wrt h?\nAnswer: 6*h - 156*s**2 - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 180761 and 9849?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 39 = 4*h + 170, 168 = -5*h - 3*t. Let d be 2\/(-4)*(h + 33). Solve -4 = c - s, d*c + 3*c - 16 = -4*s for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 27975 = -41*l + 42*l, -27950 = -2*q - 4*l. What is the hundreds digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a**3 - 3*a**2 - 11*a - 6. Let l(i) = 3*i**3 + 2*i**2 + 11*i + 5. Give -3*l(f) - 2*y(f).\nAnswer: -f**3 - 11*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31127, 249021, 840455, 1992203, 3891039?\nAnswer: 6723737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -d0a9?\nAnswer: d0ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(36)\/sqrt(4))\/(sqrt(3) - sqrt(108)\/sqrt(9)).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 3:30 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*1 - (-84)\/168. Let v be -1 - (-2 - -2)\/(-1). Which is the nearest to 0.1? (a) -1\/4 (b) k (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q - 2. Let z be w(8). Let s(f) = -f**2 + 5*f - 3. Let l be s(z). What is the units digit of (-19)\/(-3) - (-3)\/l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from udqdu. Give prob of sequence dq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 335267842 to the power of 1\/2, to the nearest integer?\nAnswer: 18310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/66965 and 5\/454.\nAnswer: 133930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7477.871cm in millimeters?\nAnswer: 74778.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - l + 3. Determine d(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 14*c - 19*c + 46 = 0, 5*k - 95 = 2*c. What is the remainder when 894 is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.09 - 6.09. Let k = v + 2. Suppose 0 = -24*i + i - 23. Which is the biggest value? (a) -5 (b) k (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c + 8*c**2 - 2*c**2 - 3*c**2 + 9*c - 8*c**2 - 9*c + (c**2 - 2*c**2 + 2*c**2)*(-3 + 0 + 1) - 2*c**2 - 1 + 1 - 2*c**2 + 2*c**2 + 2*c**2.\nAnswer: -7*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/27509 and 5\/330108.\nAnswer: 330108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 191, 375, 683, 1115, 1671, 2351, 3155?\n\"Answer: 62*f**2 - 2*f + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*n + 9. Calculate the lowest common multiple of 8 and (-7 - -15)*n\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rkk when three letters picked without replacement from {y: 1, h: 1, z: 1, r: 1, m: 1, k: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2230312 or 2230321?\nAnswer: 2230312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.28, 13.9, 0.06 in ascending order.\nAnswer: -0.28, 0.06, 13.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 2, f: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*w = -11*w + 7*w. Solve w = -a - 14 + 19 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/148416 and -35\/47047872.\nAnswer: 47047872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**3\/5 - 7*i**2\/5 - i\/5 + 7\/5 = 0?\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21044704*j - 88201755 wrt j.\nAnswer: 21044704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.170431 millennia to centuries.\nAnswer: 31.70431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3969 and 1296?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2912 and 22791328?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -21\/68?\nAnswer: -21\/68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*j - 25 - 13 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 7*n**2 - 4*n + 39. Give r(-7).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*i + 76, -3*z - 56 = 2*i - 18. Let n be i\/6 - 22\/(-33). Let p be n\/(-3)*24\/(-20). Which is the biggest value? (a) -1 (b) p (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18467906?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1432 + 1438. Which is smaller: 23 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c96c - 5?\nAnswer: -c971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of i**2\/2 + 4*i + 17. Let f be j(-12). Let h be (-8560)\/(-75) + f\/60. What is the greatest common factor of 19 and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 10*y - 5. Let w be x(9). Suppose w = 3*m - 2. Suppose 12*n - 5*q = 7*n - 15, q = 3*n + 7. Sort m, -4, n.\nAnswer: -4, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6781*d*f**2*u + 2*d*u - 3*d - 7*f**2*u - 5732*u - 2 wrt f?\nAnswer: -13562*d*f*u - 14*f*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a micrometer in nanometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -9 + 15 - (-6)\/(-2). What is the derivative of -z*j + 5*j - 4*j - 1 wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 287046555 + -287046476.99999725. Let h = -78 + c. Round h to 7 decimal places.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - t**2 + 4*t + 3. Suppose u - 6*u - 5 = 0. Let z be (u + -1)\/(2 + -1). Let v be s(z). Which is the nearest to 0? (a) -2 (b) -1\/7 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 97*q. Let h(u) = 409*u**2. Determine h(p(r)).\nAnswer: 3848281*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9742852, -9742849, -9742846?\n\"Answer: 3*y - 9742855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -354\/41 + 2374\/123. Sort -4, -0.2, 3\/2, r, 0.11.\nAnswer: -4, -0.2, 0.11, 3\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000013127 rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1\/3, 5\/3, 1\/4, 0.0914, 5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g - 7. Give z(7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7215\/(-92685)*(3 + (-185)\/65)\nAnswer: -2\/167","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**5\/3 + 314*h**4 - 12198*h**3 - 2117610*h**2 = 0.\nAnswer: -495, -69, 0, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 89*t**2 + 85*t + 1167. Determine s(-90).\nAnswer: 1617","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1114291 is divided by 10611.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y + 30*y - 53222. Round y to the nearest one hundred.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56 - 53. What is the closest to 1 in 1\/6, 6, x?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8\/7 (b) -3 (c) -2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 - 7. Suppose 0 = -4*k - 4*x + z, -5*k + 6*x + 5 = 4*x. What is the third derivative of k - 9*r**2 - 3 + 10*r**3 wrt r?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 1:55 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1593 and 302859?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1b (base 15) to base 11\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y + 100056 - 103556. What is the greatest common divisor of 820 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15033, -60284, -135721, -241344?\nAnswer: -377153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 3*r + r)*(0 + 6 + 3) + 2*r - 2*r + 3*r.\nAnswer: 39*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1036, 4, -2, 1 in decreasing order.\nAnswer: 1036, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4909837, 9819640, 14729443, 19639246, 24549049?\nAnswer: 29458852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(2\/6)\/1. Let m be (17 - y - -2)*9. Suppose b - m = 49. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200834713.\nAnswer: 47, 4273079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 7*l**2 + l - 3. Suppose 3*z - 6*z - 5*u = -57, 2*z - u - 38 = 0. Suppose -4*r + z = 7. Is 6 a factor of i(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 15*k**5 + 36957*k**4 + 22418754*k**3 - 432536730*k**2 - 7495154769*k + 7905235773 = 0?\nAnswer: -1241, -59\/5, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + (-9 - 26) + -23.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, n: 1, w: 2, k: 4, l: 4}. Give prob of sequence tktn.\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -q**5\/40 + 10*q**3\/3 + 7*q. Let c(z) be the second derivative of j(z). Let r(l) = 13*l**2. What is r(c(n))?\nAnswer: 117*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**4 - 1040*m**3 - 61090*m**2 - 176020*m - 115968 = 0.\nAnswer: -453, -64, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 19 + 14 = -5*g, 4*g - 5*m = 5. Suppose g = 5*o - 5*w - 95, 0 = o - 48*w + 53*w - 25. What is the remainder when 159 is divided by o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 12 = 5*g. Suppose 5*v = g*v + 96. Let i be 4 + 8\/(-4) + (5 - 1). Calculate the highest common divisor of v and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1004587*c**3*u + 41*c**3 - 2*c**2 - 31731*u - 828 wrt c?\nAnswer: -6027522*u + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*u - 2*u + 0*u)*(3*u**2 - 2*u**2 - 3*u**2) + 3 - 3 - 2*u**3)*(4*u**2 + 2*u**2 - 4*u**2).\nAnswer: -12*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 162d59?\nAnswer: 162d56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 86668 and 2632.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 9:27 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 4 + (0 - 0 - -7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.989 + -0.011. Let x = -10 - -7. Which is bigger: y or x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2333 + 11?\nAnswer: -2322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*d - 6 = 0, -4*z + 15 = -2*z + d. Suppose 48*u + 1300 = 61*u. What is the least common multiple of z and u?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38799 is divided by 462.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -s - 10, 3*s = -2*b - 4. What is the common denominator of 49\/24 and 7\/105*(b + (-49)\/(-2))?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.05, 5323, 5, -1, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 7*u + 0*u)*(23 - 4*u + 5*u - 8).\nAnswer: 4*u**2 + 60*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 8*b - 10 = 3*s, -4*s = 4*b. Suppose 4*l - 2*h = 16, 2*h - 15 = -3*l + b*h. Solve k - 6 = -4*x, -3*x + 2*x = l*k + 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 21. Let z = -7 + x. What is the highest common factor of z and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u**2 + 29*u - 38. Let m be p(8). Suppose t + m*d = 6 + 12, 0 = -5*t + 3*d + 25. Let l = 1 + 1. Solve 3*k + t = r, k = -r + 2*r - l for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3 = -q. What is the smallest common multiple of q and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 85 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -2*m**2 + m - 5. Let q be u(-7). Let x = q + -16. Solve 5*h - 3 = -5*j - x, -14 = -3*j + h for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12865871111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2409598?\nAnswer: 2, 71, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-17) + (-90)\/(-102) + 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**5\/2 + 257*s**4\/2 + 759*s**3 + 1511*s**2 + 2513*s\/2 + 753\/2 = 0.\nAnswer: -251, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 4076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k**3 + 46*k**2 + 13*k + 10. What is the hundreds digit of j(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (3\/1 + (-1371)\/15)*-5 and 2.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 815 and 816 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/35*80\/96?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2265 by 755.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*f**2*h**2 + 9*f**2*h + 1013*f**2 + 1850023*f + 2*h**2 wrt f.\nAnswer: 22*h**2 + 18*h + 2026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75496 and 128.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-11)\/5 - -1)\/((-1)\/5). What is the second derivative of -15*s**4 + 30*s - 19*s + g*s - 3*s**4 wrt s?\nAnswer: -216*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 - 29. Suppose p*g - 5*g - 8 = 0. Suppose -1 = g*r - 9. Solve t = -r + 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 6*l**2 + 7*l - 4. Give g(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4*w - w = -1348, 0 = -3*c + w - 1011. Let x = -126 - c. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z**3 + 2*z**2 + 2*z - 2. Let s(t) be the first derivative of -13*t**4\/4 - 7*t**3\/3 - 7*t**2\/2 + 6*t - 2. Let n = -4 + 6. What is n*s(k) + 7*u(k)?\nAnswer: 2*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**2 - 2*v**4 + 31*v - 137 - 29*v + 278 + 17*v**3 - 143 as r*v**2 + n + f*v**3 + z*v + t*v**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -362442088.5 to the nearest 100000.\nAnswer: -362400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1518 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -52*r. Let h(w) = 6*w**2. What is a(h(o))?\nAnswer: -312*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 906 + 115?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7397, 14736, 22075, 29414, 36753, 44092?\n\"Answer: 7339*y + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*c - 1 = 10, -4*y = 4*c - 8. Let m = 12 - 5. Let b be (-2 - 1) + (m - 4). Put -5, b, y in ascending order.\nAnswer: -5, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3196 - 3196.2. Which is the nearest to -1? (a) j (b) 4 (c) -55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76.8177549 rounded to the nearest integer?\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*c + 16. Let m(n) = n**3 + 7*n**2 - 8*n + 8. Suppose 0 = -0*t + t - 23. Calculate the remainder when t is divided by m(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/112793 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 - -38. Solve 4*g = 2*d + 24, 3*d + 14 = g - m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 16 = -2*x, -2*p + 8 = -0. List the prime factors of 4 - (22\/x + -2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y = 19*y - 72. Solve -100*w = -98*w - y for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5731976790?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -105*r**3 + 104*r**3 + 4*r + 1 - 3*r + 4*r**2 as h + z*r**2 + w*r**3 + f*r and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 8*l - 3. Let w = 103 - 163. Let k be (w\/(-75))\/((-2)\/(-5)). What is the remainder when i(k) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 - 23. Is (-2)\/4 - (-357)\/f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 83, 4, -22\/17, -8, -5 in increasing order.\nAnswer: -8, -5, -22\/17, 4, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/11815 and -26\/139?\nAnswer: 11815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 18*f + 10 - 19 + 5*f to the form z*f + y and give z.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 3 (b) -2\/9 (c) 69 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 9*g**2 + 30*g + 9 = 0?\nAnswer: -3, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/(-28) - (-47)\/(-4). Let p(h) = -h**2 - 17*h + 16. Let d be p(s). Suppose -d = -4*u + 2*v, 0 = -u - 3*v + 12 + 14. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -80189*d**3*f**2*k**2 + 30*d**3*k**2 + 4*d**3*k + 9996*d**2*f*k + 11*d*f**2 wrt k?\nAnswer: -160378*d**3*f**2 + 60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 5*v**2 - v - 2. Let s = -23 + 26. What is f(s)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(-4 + (100\/8)\/1). Let j(q) = -617 - v*q + 625 - 13*q. What is the units digit of j(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*c + 16*c + 8*c**2 + 8*c.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (0 + -2 - (11 + 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*x + 3. Let n be (0 - -7) + x + 1. Suppose -3*d + 2*d = -n. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9248*b**4 - 25739632*b**3 + 17952019202*b**2 - 58402467960*b + 47610808200 = 0. What is b?\nAnswer: 111\/68, 1390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(0 - (-2)\/(-2)). Let m be (0\/(-14))\/(-4 - -3). Let z be m - (0 - 4) - b. Solve 4*h = -t - 0*h + 17, 0 = z*t - 2*h + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-314 + 350 + -16 + -4).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/(70\/(-4))*-54000010. Let f be 2 + 9\/3*w\/6. Round f to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 7*q**2 - 9*q + 14. Let l be o(6). Let n be (-3 + l\/(-1))*1. What is the nearest to 2\/19 in n, 2\/15, 2\/9?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4*o + 2)*(-78*o + 4*o - o**2 - 71*o).\nAnswer: -4*o**3 - 580*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/1786 smaller than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/13? (a) -0.26 (b) -0.6 (c) 3\/2 (d) -7 (e) -2\/7 (f) -53\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 24. Let k be 675\/(-216) - -3*(n + 1). Does 0 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-2)*54\/(-8)*-98. What is the greatest common factor of l and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5 = 157. Let n = y + -487\/6. Which is the third biggest value? (a) -1\/11 (b) n (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10139 - 5975. What is the highest common factor of d and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -5) + -4 + 8 + -57 + 0 - 0.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/2)\/j)**(-1\/20)\/(j*j*j\/(j**(-1\/2)*j))**(2\/7))**(3\/16) assuming j is positive.\nAnswer: j**(-537\/4480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + -818.\nAnswer: -817.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 9:53 AM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.1862405 rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224203.\nAnswer: 7, 32029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 68 - 32. Suppose -10*y + 14 + i = 0. Solve 4*q = -5*n + 9 + 8, -q - 2*n + y = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2\/5 + 54618*k + 546192\/5.\nAnswer: -3*(k - 91032)*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aff when three letters picked without replacement from kffakfffffkfkjfjf.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -189, -3176, -45 in increasing order.\nAnswer: -3176, -189, -45, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195366 is divided by 184257.\nAnswer: 11109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9846152 to the nearest integer?\nAnswer: 3138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-7))\/((-792)\/(-1232)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 142 - 134. Let g(l) = -2 + 9*l - b*l - 2. Determine g(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 680, 4, -3\/7, -0.2 in decreasing order.\nAnswer: 680, 4, -0.2, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d + 78 + 56 - 134.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 2*s - 13 = 0, -4*j - 16 = -j - s for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-6\/5))**(2\/21) assuming q is positive.\nAnswer: q**(22\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 8:24 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2150)\/(-6020))\/((-20)\/(-8)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 10:49 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3301 + 1455. What is the tens digit of -2 - 9\/(-6) - y\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -497. Suppose 5*g - 1184 = 2*v, 0 = 2*g - v - y + 10. Suppose o - g = 179. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 + 45101?\nAnswer: 45122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b + 2*b + 0*b - 6 + b. Let g be c(-10). Solve 7*s = -3*q + 2*s + 25, 10 = g*q - 5*s for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (588 + 216 + 86 + 86)*(8 - 4*s - 8)*(-2 + 0 + 0) to w + h*s and give h.\nAnswer: 7808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - -3 - 30 - ((5 - 1) + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 899214.825 - 3874?\nAnswer: 895340.825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/3 + (-220 - 356524\/(-1632))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.24786, 1, -5, -2, -0.5 in decreasing order.\nAnswer: 1, -0.24786, -0.5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (588*j**2 + 544*j**2 - 378*j**2)*(2*j - j + 0*j)*(-3 + 3 - 2*j) as s*j**3 + o*j**2 + h*j + w + u*j**4 and give u.\nAnswer: -1508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -110231.01542 to the nearest 100.\nAnswer: -110200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-5) - (-12)\/(-20))*-4. Suppose w = z + 129, i*z = 2*w + 48 - 314. Is w a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 5.11, -670?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + b**2 - b + 47. Let l be u(0). What is the tens digit of ((-2)\/(-3) - 1)*(-232 - l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1.404183, -4\/3.\nAnswer: -4, -4\/3, 1.404183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - (-16 + 1)) + -7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*v + 13*v - 9. Let g = -42.4 - 11.6. What is the smallest value in v, g, -1\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (360\/(-70))\/((-535)\/105 - -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5517 or 5514?\nAnswer: 5514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -183 times 206.22\nAnswer: -37738.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4345 - -4364.27. Let c = -19 + h. Let p = c - 0.26948. Round p to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/9 and -46\/5361.\nAnswer: 16083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - a - a)*(1 + a - 1) + a**2 + 0*a**2 - 4*a**2 - 50*a - 14*a**2 + 50*a + (-1 + 1 - a)*(-a - 7*a + a).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j - 1. Let m be z(4). Let v be (-4)\/m*2*-66. What is the highest common divisor of 16 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1012 is divided by (-7*292\/(-98))\/((4\/(-28))\/(-1))?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -132497*i**3*u**3 - i**3*u + 27*u**3 + u**2 - 2*u + 1416 wrt i?\nAnswer: -397491*i**2*u**3 - 3*i**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 5*c**3 - 7*c**2 + 3*c. What is the tens digit of h(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 4:44 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3042 by 9.\nAnswer: -338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -62*6\/(0 + -6). Suppose 0 = -3*a + 5*i + 101, -j = -4*a + 2*a - 2*i. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*g + 2256 + 1652 = -35*g - 5604 for g.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1421.33 minus 4?\nAnswer: -1425.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -8. Suppose -159 = -n*w + w. Let z = 74 - w. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16.85 + -0.15. Put -0.3, f, 2\/7 in decreasing order.\nAnswer: 2\/7, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4*a - 8. What is n(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7119.509514 - -7119.6. What is b rounded to three decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1057373?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19566 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -488733 to the nearest 1000.\nAnswer: -489000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*b = 10. Suppose 0*g = -2*g + b. Suppose 4*r - 3*w - 20 = 0, 3*r - g*r = 5*w + 16. Sort r, -1, 3 in increasing order.\nAnswer: -1, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(171)*-3 + sqrt(171))*1 - (sqrt(342)\/sqrt(81))\/sqrt(2))**2.\nAnswer: 6877\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 693952087 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**3 - 2*m**2 + 2*m + 3. Let q(z) = z**3 - z**2 - z. Let n(c) = -i(c) - 2*q(c). Let s be n(-3). Let v = s + -7. Put v, 2, -4 in ascending order.\nAnswer: -4, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*q + 2*q + q)*(-389 + 233 + 290)*(-3 + 13*q + 13 - 7) to a*q**2 + f*q + t and give f.\nAnswer: -804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*m**2 + 23*m**2 - 74*m**2 + 20*m**2 + 14*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8124 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -8*v - 39, -34*v = -5*o - 30*v + 15 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 11*p + 33. Let m(o) = 1. Calculate b(f) - 33*m(f).\nAnswer: 11*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8 or -74\/9?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**2 + 60*j + 28. Let g be v(30). What is the highest common factor of g and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 16*q + 30. Let s be i(18). Let g be (2\/12*16)\/((-4)\/s). Suppose -3 = -2*v + 3*o, v + 27 = g*v + 3*o. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/9 - (85\/3 + 2). Let f = 34 + a. Solve -1 = h - 2*y, y + 3 = f*h - 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 5 - 5\/2*r + 1\/18*r**3 - 7\/6*r**2. Factor t(i).\nAnswer: (i - 15)*(i + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l + 1. Let c be m(2). Let q = -96 + 100. Suppose 13 = t - k, k + 33 = c*t + q*k. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5650 and 28928?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-7) - 2442\/21. Let v = z - -693. Suppose -13*h = -v - 463. 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 m(z) = 2*z + 15. Let f(v) = v**3 - 7*v**2 + 7*v + 9. Let d be f(6). What is the units digit of m(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 131 + -131. What is the third derivative of 611*j**2 + 150*j**6 + 0*j**4 - 450*j**2 + n*j**4 wrt j?\nAnswer: 18000*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 6*m**3 + 2*m**2 + 3. Let g(w) = -11*w**3 - 3*w**2 - 5. Give 6*g(q) + 10*i(q).\nAnswer: -6*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3156, 6311, 9466, 12621, 15776, 18931?\n\"Answer: 3155*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-140 - 5*d + 71 + 68)*(2 + 1 + 8).\nAnswer: -55*d - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 5)*(0*u**4 + 0*u**4 + u**4) + 3*u + u**4 - 3*u + (0 + 2*u**2 + 0)*(-2*u**2 + u**2 + 0*u**2) + 0*u**3 + 0*u**3 + 2*u**4.\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -358 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 5*r - r + 8, 3*a - 15 = -r. Let x be (-58)\/a*(42 - (2 + -2)). What is x rounded to the nearest ten?\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 - 61 - 206*v**3.\nAnswer: -206*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**4\/3 - 190*f**3\/3 - 814*f**2\/3 + 706*f + 1980 = 0. Calculate f.\nAnswer: -5, -2, 3, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.003 and -5\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10d - 2a08?\nAnswer: -28d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s - 2. Let y be c(2). Let t(j) = j**2 + 5*j + 6. Let z be t(y). Suppose -4 = -0*h - 2*h - 2*b, -3*b = -3*h + 18. Sort -3, h, z in decreasing order.\nAnswer: h, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3780 by -252.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -b**5\/420 - 59*b**4\/84 + 124*b**3\/7 - 7*b**2 - 46*b - 1. Suppose i(p) = 0. What is p?\nAnswer: -124, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**4\/4 + 454665*z**3\/2 + 7274405*z**2\/4 + 3864495*z + 2273225 = 0. What is z?\nAnswer: -181858, -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -426235 (base 7) to base 10.\nAnswer: -74212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 12:33 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a**2 + 2. Suppose o = -0*o + 2. List the prime factors of m(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57 and 1479967.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6548*w**4 - 45*w**3 - 41941099*w**2 wrt w.\nAnswer: 157152*w - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 5*l - 20 = 0, b - 20 = 4*l. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35484, -33228, -30970, -28710?\nAnswer: -26448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -m + 9, -3*i = 4*m + 1 + 1. Let o(r) = -2*r**3 - 5*r**2. Let j(l) = l**3 + 2*l**2. Calculate i*o(t) - 5*j(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**2. Let k be l(-1). Let j = -39 + 41. Suppose -3 + d**j + 3 - 2*d - k*d**4 - d + 1 + 3*d**3 = 0. Calculate d.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32899 and 26595.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 747914 is divided by 41543?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 2. Let o = -1.9999979 + y. Round o to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/167 + -2175\/668. Let q = 3 + -1. What is the common denominator of (q\/12)\/(21\/(-369)) and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153 - 8*n**3 - 41 - 50 + 6*n**3 - 41.\nAnswer: -2*n**3 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40628 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3.66*-0.037249\nAnswer: -0.13633134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2. Let w(l) = -17237*l**2. Calculate w(d(h)).\nAnswer: -17237*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-88.\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 7:27 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00021188 to 5 dps.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/80)\/((-6)\/(-4))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*h + 5857 + 44279 = 0, -2*n + 20074 = -2*h. Is 17 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 a when three letters picked without replacement from {h: 1, c: 4, a: 2, j: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-343)\/2940*15*((-200)\/1715)\/5.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 8*u - 4. Let s be r(2). Let d be (-5 - (-87)\/21)*-6*21. Calculate the highest common factor of d and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1))**29*(f*f\/(f*f**3*f*f*f*f))**(-23))**(-21) assuming f is positive.\nAnswer: f**(-2289)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*x - 93 = 30*x. Suppose 11*j + 13*j = 1704. What is the remainder when j is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 125, 234, 425, 704, 1077, 1550, 2129, 2820?\n\"Answer: s**3 + 35*s**2 - 3*s + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48 by -4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -10481*2\/18 + -1. Let o = z - -1164. Calculate the common denominator of (-111)\/27 - (-2)\/(4 + -2) and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -279822, -279729, -279684, -279711, -279834?\n\"Answer: -4*a**3 + 121*a - 279939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -23, -2926, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1059814, 2119629, 3179444, 4239259, 5299074, 6358889?\nAnswer: 7418704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z**2 - 22*z + 2. Let i(o) = -5*o**2 - 45*o + 5. Give -2*i(d) + 5*r(d).\nAnswer: -5*d**2 - 20*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 409, 466, 625, 940, 1465, 2254?\n\"Answer: 9*c**3 - 3*c**2 + 3*c + 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37411 and 251427.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*x - 3*x - 54*x.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 532, 248, -232, -908, -1780?\nAnswer: -2848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-330)\/(-20) - (2 + 3\/(-2)). Suppose n = -73 + 4. Let f = n + 101. What is the greatest common factor of u and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/(-20))\/((-2)\/10). Suppose 5*w = g*h, -5*w = 5*h - 3*h. Suppose h = -0*t - 3*t - 17400. Round t to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhmwmomhmmgohhyh. Give prob of picking 1 h and 1 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-4))\/(1339450\/(-6230)).\nAnswer: 1\/86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203047 is divided by 1486.\nAnswer: 951","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 37\/3 - (-21)\/(-63). Let k = -26 + 44. Calculate the greatest common factor of k and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in ninety-three quarters of a micrometer?\nAnswer: 23250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 9*d**2 - 11*d + 107. Let m be z(9). Solve -g + m - 11 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 10, c: 4}. What is prob of sequence uuc?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1220212111 - 201?\nAnswer: 1220211210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.9 at least -30692\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03 - 2.93. Let a = -3 - m. Which is bigger: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - r + 56 = 0. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*n**3 - 6*n**3 + 2*n**3 - 2*n**3 - 3*n**3 + 3*n**3 + 3 - 3 - n**3 + (-1 + 1 - n**2)*(3*n + 0*n - 2*n) + 6*n**3 + 5*n**3 - 5*n**3.\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*q + 8070 = -25902. Solve -q*j + 12 = -444*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -21, -1, -1\/6, 1.1, 0.06, -4\/5?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 358989273*z - 358989271*z + 305 - 59.\nAnswer: 2*z + 246","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - 3*c = 12, -h - 9 + 1 = 77507*c - 77493*c - 58 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 830*d**2 + 3026*d**2 - 407*d**2.\nAnswer: 3449*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -50, 15, -3, 0 in descending order.\nAnswer: 15, 5, 0, -3, -5, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 at most as big as 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 92, -33, -1.\nAnswer: -34, -33, -1, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -816 divided by 7248.\nAnswer: -17\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -23320705*b**2 + 3*b + 150792236 wrt b?\nAnswer: -46641410*b + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/2531 (b) -20 (c) 0.373 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 8601.64 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -327*t**2. Let f(h) = -h + 27. What is p(f(r))?\nAnswer: -327*r**2 + 17658*r - 238383","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 804.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2549.6 - -2550. Put -1\/3, -30, 1, b, -0.07 in decreasing order.\nAnswer: 1, b, -0.07, -1\/3, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -110 less than or equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 1:58 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 22913*y**2 - 4*y + 22616*y**2)*(y**3 + 0 + 0).\nAnswer: -297*y**5 - 2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 0*s - 1\/18*s**3 - 1\/6*s**2 - 1\/6*s**5 + 1\/3*s**4 + 29. Factor v(m).\nAnswer: -m*(m - 1)**2*(5*m + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/6)\/((-6)\/(-21)) + -3. Suppose j*h - 5*s = 3*h + 17, -h - 5*s + 7 = 0. Suppose -2*g = -0*g - h. What is the smallest common multiple of 60 and g?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1\/11)\/a)\/a**(-9) assuming a is positive.\nAnswer: a**(98\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53\/4 or -947963?\nAnswer: -947963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 40*u - 10*u - 11*u - 15*u - 11*u. Let n(l) = -13*l. Calculate n(w(d)).\nAnswer: 91*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 + (12 - 9) + 3 - 1) + -10.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of 43\/60*t**5 + 101*t**2 + 1\/24*t**4 + 0*t - 1 + 0*t**3 - 73\/120*t**6. Find the third derivative of v(q) wrt q.\nAnswer: -438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5698 + -61742?\nAnswer: -56044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(sqrt(147)*1).\nAnswer: sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 7*m**2 - 3*m + 4. Let t be p(-8). Let n = t - -52. Let a(b) = 2*b**2 + 7*b + 5. Calculate the remainder when a(-8) is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5133946 is divided by 1474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -283 + 9*h - 285 + 568 - 47*h. Let s(f) = 175*f. What is s(x(l))?\nAnswer: -6650*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 15*p**4 + 15*p**3 - 18*p**2 + 6*p - 6. Let w(n) = n**5 - n**4 - n**2 + n - 1. Let a(c) = r(c) - 6*w(c). Solve a(g) = 0.\nAnswer: -1, 0, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -7*f**9\/72 - 2*f**5\/15 - 79*f**2. Find the third derivative of j(l) wrt l.\nAnswer: -5880*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 26\/3 - ((-14)\/42 + 2). What is the greatest common factor of t and 889?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16438 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6866801 rounded to 4 dps?\nAnswer: 0.6867","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.091, 1\/299, 0.3?\nAnswer: 0.091","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndvanafadsd. Give prob of picking 1 s and 1 d.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*w + 54*w - 232*w - 2*w**2 + 54*w + 64*w.\nAnswer: -2*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15728 or 94369\/6?\nAnswer: 15728","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 116370 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) 0.2 (c) -0.19 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 128, 125, 132, 155, 200, 273, 380?\nAnswer: 527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*1*15\/20. Suppose l - 236 = x - 5*x, r*x - 170 = l. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 9*a + 1. Let k be x(-9). Suppose -3*b = b - 12. Let h be 6 - (b - k)*-1. What is the highest common factor of 12 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*w**3 + 29*w + 378 wrt w?\nAnswer: -9*w**2 + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -8075, -187.9, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/(((-25)\/(-5))\/40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230584?\nAnswer: 2, 19, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 - -27. Let o(q) = -2*q + a*q + q. Let s(z) = -z**2. Determine o(s(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t - 39. Let d be a(42). Suppose -5*q - n + 1065 = -126, -d*n = 5*q - 1193. Is q a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l + 1759790 + 1530210. What is l rounded to the nearest 10000?\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 525*d - 493*d - 152576 = 0. Calculate the remainder when d is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 + 7704*d - 100659.\nAnswer: 3*(d - 13)*(d + 2581)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2004 - -104207\/52. What is the biggest value in 0.4, 2\/3, 2, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -532, 2, -30847, 3 in ascending order.\nAnswer: -30847, -532, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(14\/5))**49\/(w\/(w\/w**(-18))*w*w**(-16)))**(-13\/6) assuming w is positive.\nAnswer: w**(598\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 71032?\nAnswer: 71032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -259\/3 + 87. Which is the closest to t? (a) -2\/23 (b) -4\/5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5385*r - 3866453. Give c(-718).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11649263 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 972 (b) -24 (c) 0.2 (d) -8\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**3 + w**4 + 0*w**2 + w**4 - 3*w**3 + 2*w**2 as s*w + v*w**4 + y*w**2 + j + n*w**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**4 + 375*j**3 - 13284*j**2 + 97788*j - 201840.\nAnswer: -3*(j - 58)**2*(j - 5)*(j - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 48 - (23 - (6 + -45))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7 + 3140 + 0 + (11 - 6) + -7. Is a > 3131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 4*p + 3. Let t be d(-4). Let l be (t - 4)\/(1\/6). Let r be (l\/4 + 1)*0. Which is greater: -2\/7 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 4\/3 (b) -750 (c) 60 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-3) - (-64)\/6. Let t = r - 5. Solve f + t = -3*m, -m + 3*f = -3*m + 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -690085, -690081, -690075, -690067, -690057, -690045?\n\"Answer: y**2 + y - 690087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - -7652.\nAnswer: 7648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**2 - 12030*z + 832300 = 0.\nAnswer: 70, 5945","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a microgram in nanograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t**2 + 31*t**2 - 13*t**2 - 13*t**2 + 41*t - 16*t**3 in the form l*t**3 + j*t**2 + k*t + r and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 52.471 and -0.0026.\nAnswer: -0.1364246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5852 divided by 7.\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47 + -3 + -1 + 1.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.193 (b) -2112 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 212*n + 76*n**2 - 212*n - 22*n**2 as x*n**2 + t*n + p and give x.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 123 and 205.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 703*q - 360*q + 21255 = 3762 for q.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 179 - 897\/5. Let k = -3.86 + -0.14. Let p = k + 4.2. Which is the nearest to f? (a) 1\/2 (b) p (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-8) - (-19 + 37\/2). Solve g = 40*b - 41 + 161 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, -0.5, -4, 2, -4\/9, 118 in increasing order.\nAnswer: -4, -0.5, -4\/9, 0.04, 2, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 6 (b) -1 (c) -439 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -132 + 132. Suppose -4*h - z = -6 + 1, q = -5*h - 2*z + 10. Solve -3*w + 12 = -h for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1501335 by -55.\nAnswer: -27297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-4))\/((2\/4)\/(-1)). Let d(p) = -238*p**3 - p - 2. Let t be d(z). Suppose 0 = 5*q - 9*q + 3*r + t, -2*q + 106 = -4*r. Is 15 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -917 divided by -6.\nAnswer: 917\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09331 times 0.2?\nAnswer: -0.018662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1023, -1936, -3455, -5580, -8311?\n\"Answer: -303*g**2 - 4*g - 716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*h**2 - 35*h**2 + 20*h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -924*m + 12220 = 4931 - 3799 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -39*t - 154. Let o be v(-4). Let j(p) be the second derivative of p + 1\/2*p**o + 1\/6*p**4 + 0*p**3 + 0. Differentiate j(s) wrt s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iziz. Give prob of picking 2 i.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 take away 2218?\nAnswer: -2255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -242000 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 0*g**3 + 0 + 1\/120*g**6 + 0*g**4 - 1\/15*g**5 - 30*g + 2\/105*g**7 - 1\/336*g**8 - 2*g**2. Suppose f(q) = 0. Calculate q.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 464126.9 days to hours.\nAnswer: 11139045.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3bc96 (base 16) in base 14?\nAnswer: -6535c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggyyyhg. What is prob of sequence hygg?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4453 and 8.\nAnswer: 35624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/13 (b) 0 (c) 37.36 (d) -3 (e) -0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + ((-4)\/6)\/((-6)\/14832). What is the highest common divisor of p and 225?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 561\/(-1515) - 0 - (-36)\/90. Which is the fourth biggest value? (a) 5 (b) q (c) 3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 1, -1, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(12*12\/(-48)*1)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -36*m + 24832. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + -1. Let a be -16 + 2 - f\/3. Let g be (-119)\/a - 4\/26. Are 9 and g nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-16) + 39\/52)\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 800*c**3 - 75194*c**2 - 564*c - 7. Determine n(94).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 6900172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 21*v**2 - 18*v - 2. Is o(23) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (-228)\/(-494) - (-46892)\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6917 + 11418. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002350136 to seven dps.\nAnswer: -0.0000235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 2 - 3 - 2 - 75*q + (q + 0*q + 2*q)*(1 + 1 - 1) to a + y*q and give y.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*h**3 + 79*h**3 + 74*h**3 + 78*h**3 + 75*h**3 - 381*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2510 and 6.\nAnswer: 15060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10927 + 11295308843.\nAnswer: 11295297916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 343*c**3 + 2*c**2 - 3*c - 2. Let d(r) = r**2 - 6*r - 3 + 0*r**2 + 4 + 1. Let s be d(4). Let v be g(s). Round v to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5 = -3*g, 0*g + 3*f - 3 = -2*g. Suppose u = -3*r - 5, 16*u - 15*u - 10 = 2*r. Suppose 0 - 1\/4*z**2 + 1\/4*z**u - 1\/4*z + 1\/4*z**g = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 383.872 - 362. Let d = -22 + b. Round d to 2 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -357*f - 2852. Determine j(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-16)\/32 + 42\/4.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.37 + -1561.\nAnswer: -1560.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 209523305 and 1075?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 70512876 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.38 + -0.07. Let y = c - 18.31. Let f = -24 - -24.2. What is the second smallest value in -0.2, y, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 31, 16, -5, -32, -65?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -228\/22963 or 0?\nAnswer: -228\/22963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/32934 and -1\/33.\nAnswer: 32934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-121)\/3*12876\/23606?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8374, -33242, -74698, -132760, -207446?\nAnswer: -298774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 624 and -4 + (31 - 45\/15)?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/6*(6\/32 + 0). Let g = 0.287 + 4.713. Do g and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 275385 and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a century in months?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43 - 44. Put 5, 2, -3, d in decreasing order.\nAnswer: 5, 2, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 2:04 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -178, -407, -728, -1141, -1646?\nAnswer: -2243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 + -47. Let d(x) = -x**3 - 8*x**2 - 3*x - 8. Let u be d(-7). What is the tens digit of (u\/(-30))\/(c\/40)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + b + 21. Let d be n(-8). Calculate the highest common divisor of d and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292*n - 21 = -t + 289*n, -5*n + 10 = 0. Solve 4*s = -h - t, 5 = -4*h - 5*s - 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -182085, -729092, -1640771, -2917122, -4558145, -6563840?\nAnswer: -8934207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63285808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**3 - 5*s**2 + 5*s + 10. Let k be l(3). Calculate the greatest common factor of 51 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - n + 4 + 3, 2*d + 1427 = -3*n + 1431 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 11, x: 5, e: 1}. Give prob of sequence yx.\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f. Let h(b) = -12*b. Let l(z) = 3*d(z) + h(z). Let s(t) = -11*t**2. What is l(s(v))?\nAnswer: 99*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -9. Let y be (-2)\/j + (-34)\/72. Let i = 38 + -38.1. What is the third smallest value in y, i, -2\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cr when two letters picked without replacement from fzcrt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5*d = 379, -5*d - 38 = y - 144. Let a = 82 - y. Are -13 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 6*q**2 + 79*q - 80. Let p(j) = -5*j**2 - j + 1. Let l(b) = -a(b) - p(b). What is w in l(w) = 0?\nAnswer: -79, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21062388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**4 + n**3 - n**3 + (-3*n - n + 5*n)*(-6 + 23 - 13 - 12*n)*(-5*n**2 - 3*n**2 + 2*n**2).\nAnswer: 73*n**4 - 24*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + f**2 + (-2*f - 2*f + 3*f)*(f - 4*f - 1 + f).\nAnswer: 3*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/7 (b) 270 (c) 0.06 (d) 5 (e) 1\/3 (f) -2\/3 (g) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - s**2 + s + 1. Let b(x) = -7*x**3 + 4*x**2 - 4*x - 4. Determine -3*b(w) - 12*u(w).\nAnswer: 9*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*k**4 - 3*k**4 - 7*k**2 + 8*k**4 wrt k.\nAnswer: 192*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + a = 6, 5*h = 347*a - 343*a - 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 114 and 3078?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 f when three letters picked without replacement from hhkffkkk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k - 6*k + 0*k + k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -85 * 1.5\nAnswer: -127.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + z**2)*(0*z - 4*z + 3*z) + (-2*z + z + 2*z)*(-2*z**2 + 4*z - 4*z) - 2*z**2 + 2*z**2 + z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 230749 and 649?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55492757.\nAnswer: 3557, 15601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 9) to base 13\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 - 9a66c?\nAnswer: -9a677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 = -c - 4*z, c - 6874*z = -6876*z - 39 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1474590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 3*r + 2396. Let w be t(0). Suppose 3*c - 2162 = 2*f, -4*f - w = 4*c + 1948. Is f*2\/(-10) + 1\/5 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**2 - 4350*k - 1576875 = 0 for k.\nAnswer: -725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 146 - 466. Let t be (-10)\/j + (-270)\/(-16). Differentiate o**2 + 26 - t - 7*o**2 wrt o.\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 12038\nAnswer: -11\/12038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*r + 0*r - 3*r + 3*r to the form m + q*r and give q.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -19. Which is the third biggest value? (a) 4 (b) p (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5244454 to the power of 1\/3, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/9 + (-57)\/(-9). Let n(o) = o**3 - 7*o**2 + 5*o + 8. Let c be n(i). Suppose -5*v - 26 + 46 = 0. Solve c*z + 10 = -0*z, -v*l + 5*z = -29 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.8 + 1.2. Let k = -2 + 5. Let g = x - k. Which is greater: -0.1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7578.373 millilitres to litres.\nAnswer: 7.578373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20148 - -20148. What is the third biggest value in v, 0.2, -1\/8, 1, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w - w - 29*w**3 + 4*w**2 + 17*w**3 + 14*w**3 to the form l*w + n + a*w**2 + q*w**3 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -3, 96 in descending order.\nAnswer: 96, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12168\/351*(0 - 6\/(-4)). Solve -2*o + 58 = -5*j + l, 5*j + 4*o = -18 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -953, -950, -945, -938, -929?\n\"Answer: g**2 - 954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4*4*sqrt(833)*1 - (3 + 4*(-3*(sqrt(34)\/sqrt(2))**2 - (sqrt(119)*2 + sqrt(119))\/sqrt(7))).\nAnswer: -100*sqrt(17) + 199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mw when two letters picked without replacement from mmwttmftmfpttttttpp?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and -101263622.\nAnswer: -101263620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 + 6*m - 5. Is 5 a factor of p(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w*w*(w*(w\/((w*w*w**21*w)\/w))\/w)\/w*w))\/w**(30\/7) assuming w is positive.\nAnswer: w**(124\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 669324?\nAnswer: 2, 3, 17, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 5 + 1)*(y**2 + 0*y**2 + y**2) + 2 - 2 - 2*y**2)*(-2*y + 0*y + 5*y).\nAnswer: -24*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -934113 or -10\/37?\nAnswer: -10\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144) + sqrt(144) + (sqrt(144) - -3*1*sqrt(144)))\/sqrt(12))\/((sqrt(4) - sqrt(64)*6)*-1).\nAnswer: 6*sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jpqp when four letters picked without replacement from qqpjppjjjjqpqqqqq?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/1021098 and 103\/338.\nAnswer: 1021098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 - 40. Let m be ((-5)\/2 - -3)*2. What is the nearest to g in -2, -2\/11, m?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25390?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10866863?\nAnswer: 7, 37, 41957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*b - 2 = 5*b, -2*b = -5*a + 17. Suppose -5*y - a*y = -190. Suppose y*g - 17*g = 160. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 305068*h*l**2*w**3 + 4*h*l - 3*h*w + 2*l**2*w**3 + 90*l*w**3 - 74*l + 2*w wrt l?\nAnswer: 610136*h*w**3 + 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*q + 2*s - 22, -2*s = 0. Calculate the greatest common factor of 2 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxxxxkjjxj. What is prob of sequence xj?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y - y - 11*y**3 + 0*y**4 - 2*y**4 + 9*y**3 to the form v + h*y**2 + u*y**3 + l*y + g*y**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25925 and 36295.\nAnswer: 181475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -739 + 179. Round x to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -78b1b6 (base 14) to base 2.\nAnswer: -1111101001100111101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 970.0739 millimeters in meters?\nAnswer: 0.9700739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016 a factor of 231507406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of a**2\/2 + 6*a - 3. What is the tens digit of p(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -368333 - 79.\nAnswer: -368412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 779*p + 6580. What is n(-9)?\nAnswer: -431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13.95 - -14. Let d = s + 0.11. Let q = d - -0.84. Put -8, 0, q in descending order.\nAnswer: q, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {z: 3, r: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -453302 (base 6) in base 4?\nAnswer: -21113012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j + j + 450*j**3.\nAnswer: 450*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) 2\/11 (b) -8 (c) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xaiixxaii. Give prob of picking 2 i and 1 x.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/4)*(d*d**(-3\/4))\/d)**14*(d\/(((((d\/(d\/(d*d\/d**(1\/3))))\/d*d)\/d)\/d)\/d))**(11\/5)\/(d*(d**1\/d)\/d*d\/(d*d**(1\/4)\/d)) assuming d is positive.\nAnswer: d**(-157\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 4. Let q = 0.3 + o. Suppose 3*b - 3*d + 0*d = 9, 0 = -2*b - 4*d - 12. Sort -1, q, b in increasing order.\nAnswer: -1, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 382*g + 3435. Give j(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21880 or 96\/5?\nAnswer: 96\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 161.03593 rounded to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -51\/2 in 5, -31.9, -0.7?\nAnswer: -31.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -3\/7, -3, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -327 (b) 4\/3 (c) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 78, 13, 8, 5, -11 in decreasing order.\nAnswer: 78, 13, 8, 5, -3, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2337, -2339, -2341, -2343, -2345, -2347?\nAnswer: -2349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -112002211?\nAnswer: 112002201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16\/133 - -4953\/266. What is the common denominator of m and 93\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 453 - 322. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence es when two letters picked without replacement from iesesee.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -q**6\/30 + 59*q**5\/5 + 7*q**3\/6 + 15*q**2\/2 + 5*q - 33. Find the second derivative of g(u) wrt u.\nAnswer: -12*u**2 + 1416*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 241a - 48?\nAnswer: 23b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and 69.\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*w + 13643 = 13063 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 202?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 20, -2, 3 in descending order.\nAnswer: 20, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 235456?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 181*n + 27. Determine x(-5).\nAnswer: -878","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*5\/(-20)*2*-3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 26 = -0*u - 4*u, 0 = -4*u. Suppose -b - s = -9, -3*b + 5*s + 4 = 1. Let i = b + y. Does 19 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2 + 17*r - 308. Give a(-22).\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -119553 divided by 265?\nAnswer: -119553\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8712*o - 2522 = -8809*o for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.19 - -0.189. Let b = 119.999 - d. Let q = -119.999854 + b. Round q to 5 decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 5*l, -5*v = 13*l - 15*l. Solve 4*q + 0 - 4 = v for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - 0.4. Let p be (6\/24)\/(74\/8). Let w = p - -71\/111. Which is the third biggest value? (a) w (b) 0.1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.40969036 rounded to one dp?\nAnswer: -46.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 975 and 117?\nAnswer: 2925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 4\/5 of a gram?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a micrometer in nanometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -102, -247, -390, -531?\n\"Answer: s**2 - 148*s + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 72*w**2 - 4438*w + 319751. Give t(72).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -0.162794?\nAnswer: -0.081397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -5. Suppose -x + r = g, 4*g = 8*x - 4*x - 24. Suppose -2*j + 3*j + 4*k - 3 = 0, -15 = -x*j + 5*k. Put 9, j, 1 in decreasing order.\nAnswer: 9, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2651637 to the power of 1\/2, to the nearest integer?\nAnswer: 1628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 1023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -11411?\nAnswer: 11401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 151 and 2114?\nAnswer: 2114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, m: 10}. Give prob of picking 2 m and 2 n.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35*(-306 + 305) - -3*8.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l**3 - 2*l**2 - 2. Suppose 80*n - 85*n - 5*g + 20 = 0, 19 = 5*n + 4*g. Let x(j) = 5*j**3 - 3*j**2 - 3. Calculate n*t(u) - 2*x(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -x**2\/2 - 2*x + 1. Let m be ((-8)\/(-6))\/((-4)\/12). Calculate the remainder when 2 is divided by b(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/9, -3, -49 in descending order.\nAnswer: -2\/9, -1, -3, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 16 + 2)*(-4 + 2 + 4)*(-x - 5*x + 5 + 5*x).\nAnswer: 26*x - 130","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 5*j - 7. Let f(p) = -2*p**2 + 27*p + 12. Let x be f(14). Let c be q(x). Which is smaller: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -45*c - 2. Let x be z(-2). Suppose -2*v + 2*o + 22 + 22 = 0, x = 4*v - 5*o. Let p = v + -4. Is 3 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) -35 (c) -8\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 2, -7 in descending order.\nAnswer: 19, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 100101011111110100 (base 2) to base 6\nAnswer: 3143020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -205 - -345. Is j a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z + 10 = 9*z + 2*f, -z = -2*f + 10 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 6*t + 2. Let y be m(-6). Let u = 183 + -177. Solve -y + u = 4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2784261 (base 9) to base 7.\nAnswer: -16010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 11) in base 5?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of k**5\/60 + 5*k**4\/8 + 7*k**3\/3 + 3*k**2\/2 + 2*k - 18. Let q(a) be the second derivative of b(a). Factor q(r).\nAnswer: (r + 1)*(r + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 37, 3\/2, 2, 7.3, -2\/61, -2\/59, -2\/9?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 2.5. Let d = -0.3 - v. Let m = -0.091422 - 0.008578. Which is the nearest to d? (a) m (b) 0.03 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2705.\nAnswer: 5, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 117, 211, 281, 327, 349?\nAnswer: 347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.1, -2.07, 0.3, 1\/3, -81?\nAnswer: -2.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -k + 106, -23*k = -19*k + 5*g - 437. Sort 4, 3, k in increasing order.\nAnswer: 3, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(612) - sqrt(612)*2)*6*5 - -1*(4*(2*sqrt(612))**2 + 0).\nAnswer: -180*sqrt(17) + 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1243 is divided by 50.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-4 - -4) - -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -4 - (8 + 29 + -19 + -11)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.7 - 4.7000053. Round y to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*s + 5. Put -2, 5, s in ascending order.\nAnswer: s, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 9*z**2 - 8*z - 17. Is v(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x + 8. Let l = 9 + -1. Let p(s) = -3 + 15 + 1735*s - 1731*s. Let a(o) = l*d(o) - 5*p(o). Differentiate a(u) with respect to u.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -6*y**2 + 4*y**2 + 15*y**2. Let p(t) = 2*t**2 - 3*t + 3. Let f(g) = -4*g**2 + 5*g - 5. Let d(m) = -3*f(m) - 5*p(m). Determine k(d(n)).\nAnswer: 52*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58 + 44 + (16 - -9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/23? (a) -1\/11 (b) -0.5 (c) -4 (d) -131\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.08 and -3.4.\nAnswer: 0.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2958*y - 50290. Determine s(-17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 7:45 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 887613241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/45744 and -13\/14.\nAnswer: 320208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204783.\nAnswer: 3, 68261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3563420584?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 7*i**2 - 1266*i - 11567. What is w(-9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -7191296.301.\nAnswer: -7191295.301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 17 = 3. Suppose 2*x = q*d + 12, -2*x + 8 = -3*d - 4. Calculate the remainder when x is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 554 + -518. Is z a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1987353 is divided by 103.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121061 is divided by 29529.\nAnswer: 2945","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, -23, -75, -149?\nAnswer: -245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 9*s**2 - s + 1. Let a(f) = -5*f**3 - 60*f**2 + 4*f + 3. Let b(d) = -a(d) - 6*x(d). Give b(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d - 103*d - 50*d - 16 - 53*d + 54*d + 16.\nAnswer: -162*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.267 to one decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 222122000011 (base 3) to base 13\nAnswer: 154768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xpxhxgxgkhhxx. What is prob of picking 1 k and 1 g?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**6\/360 + v**5\/24 + v**4\/12 + v**3\/2 - v. Let o(j) be the second derivative of r(j). What is o(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 80 + 1182?\nAnswer: 1272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 219 - 788. Let w = m - -569.2. Which is the third smallest value? (a) w (b) 10 (c) 0.26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 2:41 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2856)\/112*(-2)\/3. Let k be (v - 30)\/((-2)\/(-46)). Is -300 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40*w**4 - 110*w**4 + 34*w**4 + 36*w**4 - 156*w**6 + 48*w**2 wrt w?\nAnswer: -18720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 0.401333?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*z**4 + 4710*z**3 - 628608*z**2 + 3227658*z - 1006215 = 0. Calculate z.\nAnswer: 1\/3, 5, 259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/10 of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -7*h - 0. Suppose 0*b + 5*b = -10. Let v = b - -21. What is the remainder when v is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1449080484286 and 6.\nAnswer: -1449080484280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-8)\/(-10))\/(6\/165).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1293 and -1.02.\nAnswer: 1291.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 33. Let d be 1\/((-20)\/395) + 6\/8. Let q = d + k. Calculate the lowest common multiple of 6 and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 60\/9 + (0 - 0). Is 7 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2\/11, -503.5, 35, 0.3 in increasing order.\nAnswer: -503.5, -3, 2\/11, 0.3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = r - 71 + 51, 26*s + 13 + 91 = -5*r for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (175\/(-70)*(-4)\/30)\/((-1)\/(-33)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8676, 17368, 26074, 34794, 43528, 52276?\nAnswer: 61038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8636 (base 16) to base 12.\nAnswer: -17a72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273 + 42 = 3*k. Let o = 114 - k. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -42*q**4 + 71*q**3 + 244 with respect to q.\nAnswer: -168*q**3 + 213*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.5, -0.1, 0.143?\nAnswer: 0.143","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 + -47 + 151 + (-1 - -13)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(210\/(-12))*25\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3\/2)\/(-4 - 9609\/(-2400))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - r + 12. Suppose x = 3*p - 17, 2*p - 16 = -2*x - 2*x. Suppose 0 = -l - p*l + 42. Calculate the least common multiple of 12 and a(l).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8*(4\/1 + (-153)\/34). Let t be -52*(a\/16 + 0). Suppose -t*u + 768 = -5*u. Does 12 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1235182?\nAnswer: 2, 13, 47507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-4) + 27\/(-2). Let w be 0\/(-2) + q + 15. Let u = w - -6. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*b - 5*g - 45, -b = -4*g - 10. Let d(x) = x + 8. Let s be d(b). Let n = 0 + 0. What is the closest to -0.1 in -1\/4, s, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -5. Suppose q*z - 3*z = -6. Suppose 3*m - 90 = -z*m. What is the remainder when m is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3045, -7, -2, 38, 10, 4.\nAnswer: -3045, -7, -2, 1, 4, 10, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(272) + -2)**2 + (-3 + sqrt(272) + 0)**2.\nAnswer: -8*sqrt(17) + 557","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, y: 1, m: 1, w: 2, x: 3, q: 3}. What is prob of sequence whq?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2136 and 3251704.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10091439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -5*u**2 - 15*u + 15. Let p(g) = 8*g**2 + 26*g - 29. What is 3*p(s) + 5*v(s)?\nAnswer: -s**2 + 3*s - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 213620?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 0 + 1\/120*h**6 + h**3 + 0*h**4 + 1\/60*h**5 + 0*h - h**2. What is the units digit of n(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 0*q - 1 - 3\/2*q**2. Let u(r) be the second derivative of -r**4\/12 + 2*r. Give u(z(a)).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 134\/8)\/((-122)\/244*11\/(-22))\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a day in seconds?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z. Let n(d) = -21*d. Let y(m) = 10*m. Let l(j) = -2*j - 8. Let k be l(-6). Let f(s) = k*n(s) + 9*y(s). What is -8*a(g) + 3*f(g)?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t. Let w(z) = 3*z**2 - 2644*z. Calculate w(k(g)).\nAnswer: 12*g**2 + 5288*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -0.6, 38, -5 in descending order.\nAnswer: 38, 2\/11, -0.6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 21*u - 24 + 0*u**2 - 2*u**2 + u**2 + 2*u**2. Let x be g(-22). What is the remainder when 10 is divided by (-18)\/(-8) + 11\/4 + x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135 + 63 = 12*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 a when four letters picked without replacement from {a: 6, v: 6}.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 29*d**2 - 6*d. Let m(b) = -103*b. Let t(s) = 171*s. Let h(l) = -10*m(l) - 6*t(l). Calculate h(z(f)).\nAnswer: 116*f**2 - 24*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -482*x - 550 = -457*x for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 8)*(-2)\/4. Suppose 2*m = 5*m + i*l, 4*m - 3*l = 25. Suppose 0 = -c - 4*k + 6, 6 = m*c + k - 18. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i + 9. Let x be d(-12). Let w be -1*1\/(-6) - (-21063)\/306. Suppose w = -2*b + 81. Let p(c) = c**2. Let n(h) = -4*h**2. Calculate b*n(s) + x*p(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289456849?\nAnswer: 11, 19, 1384961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 34168863.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -8. Suppose 4*i + 4*k - v + 28 = 0, 2*i = 2*k + 2. Put i, -8, 1 in decreasing order.\nAnswer: 1, i, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - 7 - (189 - 197)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 391810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64 - -59. Which is the closest to 0? (a) w (b) 3\/7 (c) -12\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -8*d - 39. Let y be u(-20). Suppose -19*g = -8*g - y. Suppose 9 = -g*k + 14*k. Put 1, k, -10 in descending order.\nAnswer: k, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vgvgvvvvvnvgg. Give prob of picking 1 n and 2 g.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49.02 + -45.02. Which is the closest to 3? (a) 14 (b) q (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, n: 2, c: 6, u: 3, k: 2, q: 2}. Give prob of picking 1 u and 1 k.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l\/((l\/l**(-2\/11))\/l)))\/l)\/l)**(11\/4)\/(((l\/(l*l**(1\/4)))\/l)\/l*l**8))**(-4\/3) assuming l is positive.\nAnswer: l**(43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 10*((-33)\/(-6) - 3) - (-51 - (188 + -245))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -26, 8, 5557 in ascending order.\nAnswer: -26, 0, 2, 8, 5557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 6*n - 3. Let g(t) be the second derivative of -t**3\/2 + t**2 + 5*t. Let d(h) = 5*g(h) + 2*u(h). Calculate the remainder when 36 is divided by d(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-7)\/1 + (-135)\/(-18))\/((-1)\/(-1256)). Solve -56*y - 236 = -k for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2649, -1, 1 in increasing order.\nAnswer: -2649, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 39\/890 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -73 = -478?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 7*n**4 + 140975*n**3 + 709874571*n**2 + 912503125*n + 202769522 = 0.\nAnswer: -10069, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from efffeeeve. Give prob of picking 1 f and 2 e.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*k**4*r - 4*k**3*r + 122*k**2 - 28*k*r + 662*k - r wrt k?\nAnswer: 84*k**2*r - 24*k*r + 244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + -1*(-3 + sqrt(3)) + 5 + sqrt(75)*4 + 1.\nAnswer: 9 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 442176014 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*m + 3 = 36*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24032*i + 24032*i - 308144*i**3 + 308141*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124, 132, 152, 190, 252, 344, 472?\nAnswer: 642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 456845 = 2*w, o - 57947 = 5*w + 33445. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1050)\/(-300))\/(1\/(-2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 324189983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 4) + (-1 - (11 - 7)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184985630.\nAnswer: 2, 5, 18498563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6) + (-3)\/((-54)\/(-30))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 392 and 168?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/27)*n*n*n*n\/(n**(-2\/27)\/n)*n*n assuming n is positive.\nAnswer: n**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**3 - f**2 + 8*f**3 - 7*f**3 + 2*f + 1 - f**2. Determine b(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*y**4 - 255451525*y**2 - 3951727*y - 85 wrt y?\nAnswer: 24*y**2 - 510903050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oeoeoo. Give prob of picking 1 o and 1 e.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 6008 = -r, -5*r - 5*o = -24349 - 5591. What are the prime factors of r?\nAnswer: 2, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85751.\nAnswer: 85751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -3. Let f be (-4 + 2)\/((-48)\/9). Is f >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-9)*((2 - -1) + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iia when three letters picked without replacement from vvvivvaivv?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) 1 (c) 0.4 (d) -4\/3 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 3*a - 2*a)*(111*a**3 - 59*a**3 + 9*a - 58*a**3).\nAnswer: 6*a**4 - 9*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -31, 15, 81, 173, 297, 459, 665?\nAnswer: 921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 261167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of u**3\/3 + 7*u**2\/2 + 5*u + 2. Let l be c(-7). Solve -4*f + r = 3*r - 2, -l*r - 16 = 3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4008\/19 - -211. Let k be (-840)\/912*6\/10. Let v = k + d. Which is the closest to 0.1? (a) -2\/7 (b) 2\/9 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + 1 + (-63 - -89)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 58893884?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 16*n**2 + 21937*n - 221976. Determine r(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 227437 divided by 19\nAnswer: 227437\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**8\/5880 + q**7\/2940 - q**6\/1260 - q**5\/420 - 2*q**3\/3 - 7*q**2. Let p(a) be the first derivative of s(a). Factor p(y).\nAnswer: 2*y*(y - 1)*(y + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 1177*b + 16470. Calculate n(-14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1234568*g - 2467263*g + 1232697*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*u + 93*u + 56*u)*(-2 + 1 + 2)*(2*u**2 + 2*u**2 - 5*u**2).\nAnswer: -162*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - v + 8 = -7, -z + 5 = v. Let k(g) = g**2 - 5*g + 4. Let h be k(5). Let i be (h\/2)\/2*40. Calculate the highest common divisor of z and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x + 7. Suppose 0 = -4*l + 7*l. Let r be j(l). Suppose -330 = -r*o + 2*o. Calculate the greatest common divisor of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, b: 4, d: 3, p: 5}. Give prob of picking 1 i and 2 d.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4 = v, 2*v - 6*v + 14 = -d. Suppose 0 = 5*x - 2*l - 1948, 8*x - 1559 = v*x + l. Calculate the highest common factor of x and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/11 + 20866*t**2\/11 + 41726*t\/11 + 20862\/11.\nAnswer: 2*(t + 1)**2*(t + 10431)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6876670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 58678 + 210939\nAnswer: 269617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -18\/11, 3, 8.84?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, m: 2}. What is prob of picking 1 m and 2 w?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 104 - 19 + 0*b + 0*b + b + 43 to f*b + s and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*a*f**3*h**3 + 10350*a*f**2*h**3 - 31*f**3*h**3 + 22*f*h**3 - 3*f*h - 1 wrt a.\nAnswer: -3*f**3*h**3 + 10350*f**2*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -12. What is the tens digit of ((-9)\/12)\/(a\/(-108))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u + 2. Let c(t) = 3*t + 14. Let f = 221 + -220. Let m(g) = f*c(g) - 6*p(g). Let d(l) = 5*l + 1. Suppose -3*s - 6 = 9. Calculate s*d(v) + 3*m(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.267265 rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68714190.\nAnswer: 2, 3, 5, 157, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1243862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 - -43. Let o(a) = 0 + m + 36*a**2 - 34*a**2. Let n(w) = 3*w. Determine n(o(t)).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4335 + 4334.8. What is the fifth smallest value in -0.4, 17, -2, 2, m?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-31280)\/(-10764) - 22\/9) + (-636)\/26\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/4*(-440)\/33. Does 20 divide 21*(-12)\/54*t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 350*d**2 + 749 + 344*d**2 - 330 - 707*d**2 as q*d**2 + w*d + o and give q.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 9 - 3 = -5*t, 3 = 4*t - o for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by -5.\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -86 divided by -157\nAnswer: 86\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -45 - 3874c4?\nAnswer: -387529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31434 + b**2 + 31434.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3505048357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 212, 205, 186, 149, 88, -3, -130?\n\"Answer: -m**3 + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 926 + -586. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 + 109*s + 1276. What is the remainder when 1017 is divided by k(-38)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (60 + -198 - -27).\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*o + 24. Suppose 2*i + 1 = -5*b, 0 = o*b - 2*b - 2. Is -1 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6\/33*-1 + (15598660\/(-121))\/(-14).\nAnswer: 2, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -134.8?\nAnswer: -129.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -145 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000208445 to five dps.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 15 = 2*s, -5*n - 3 = -s - 28. Suppose -n*p + 17 = y, 16*y + 4*p = 11*y + 106. Calculate the highest common divisor of 550 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 - 3*w + 10. Let q(f) = 4*f**2 - 5*f + 19. Let j(z) = 5*a(z) - 3*q(z). Differentiate j(t) wrt t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, i: 1, r: 1, b: 2, x: 7}. Give prob of picking 1 x and 1 b.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.084761 - -2.0952452. Let f = 2.18 - x. Round f to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - -2) + -10 + 20?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -46 in 921, -0.1, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28579 is divided by 7143?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 197, 181, 153, 107, 37, -63?\n\"Answer: -t**3 - 9*t + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 201121*j**2\/2 - 4*j + 2. Let r be h(-4). Let u = r + 9704488. Round u to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.18 - -71.82. Let n = 73.000066 - k. What is n rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3936325 + -18988831661\/4824. Calculate the common denominator of 145\/132 and a.\nAnswer: 53064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15299723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.079*9912.\nAnswer: -783.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b + 6*q - 15, 0 = -4*b + 15*q - 14*q - 15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 23*n**2 - 48*n - 14. Let t be w(25). Suppose -3*g = -3*b + t, b = -4*b - 4*g + 78. Calculate the highest common factor of 56 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -5*u + 162. Let a be y(31). Let t(h) = -h**3 + 5*h**2 + 6*h. Calculate t(a).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -19. Suppose -2*o + 0*o + d = 0. What is the third derivative of -3*y**4 + y**o + 4*y**4 - 3*y**2 wrt y?\nAnswer: 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/16 of a millisecond?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 363*w + 3079 + 9013 - 1892 = 567*w for w.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/16163241?\nAnswer: 2\/16163241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**1*y)**0*y*y*y*y*y**(-6\/7)*y*y*y*y**0*y assuming y is positive.\nAnswer: y**(50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 344 + -329. Let r = 5817.22042 - 5832.22. Let t = f + r. What is t rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15, -4, 15, 42, 77, 120, 171?\n\"Answer: 4*p**2 - p - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3555 - -16918\/5. Let f = m + 171. Let h be (-8)\/12 + 56\/66. Which is the second biggest value? (a) -2\/13 (b) f (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -1330002?\nAnswer: 1323332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -9. Suppose -5*j - 8 = -n*j. Let i be -3 + 4\/(48\/33). Which is the smallest value? (a) j (b) 2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -7*w**3 - 4*w + 60. Let y(r) = 5*r**3 + 3*r - 57. Give -3*c(j) - 4*y(j).\nAnswer: j**3 + 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(3))**2*-4 + sqrt(42)\/(sqrt(36)\/sqrt(6)) + 4 - ((sqrt(112)*-3 - sqrt(7))**2*-4 + 2 + -3).\nAnswer: sqrt(7) + 4709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 j when three letters picked without replacement from jppjojpppjjpp?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -5\/24*t**4 + 46*t**2 + 0 + 0*t**3 + 0*t. Let g(f) = 4 + 2*f**2 - 4. Give q(g(c)).\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1831 = -15*g + 74. Let v = g - 85. Suppose 0 = -3*m + y + 82, -40 = -4*m + 3*y + 66. Calculate the highest common divisor of v and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*h = 21*h - 14. Which is the fourth biggest value? (a) h (b) 1 (c) -2\/9 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253*k = 5332 + 1499 for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -722 + 721.8. Let r = 4.2 + -0.2. Put 3, 2\/3, r, l in increasing order.\nAnswer: l, 2\/3, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 237, 950, 2139, 3804, 5945, 8562, 11655?\nAnswer: 15224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175329302 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -6*h**2 + 7*h - 12. Let k be g(5). Which is bigger: k or -128?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*z - 1 - 39*z - 1 to m*z + b and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 9\/8 (b) 0.2 (c) -4\/5 (d) -1 (e) -24 (f) -3 (g) -0.035\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 + 1021?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 149014*s**4 - 14*s**3 - 505*s**2 - 1018*s + 2 wrt s.\nAnswer: 3576336*s - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -6)\/24 + (-2)\/24?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3314 - 1364. Calculate the greatest common factor of 78 and y.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338 is divided by 298.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*u + 3*u. Suppose 3*w + w = -3*g + 6299996, 10500001 = u*g - w. What is g rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 948569844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*j = 2689 - 6706 for j.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*sqrt(42))\/((-2*sqrt(66))\/sqrt(11)).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72165?\nAnswer: 3, 5, 17, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -8*z + 9*z. Put -3, z, -0.3 in descending order.\nAnswer: z, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -5, -3, 1, 5, 170.\nAnswer: -5, -3, 1, 5, 8, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1070591 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 + 20?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49 - (8 + -48 - -21).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6779723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 70575.93m?\nAnswer: 70575930000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -26\/235?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 238 and 1778?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k - 141. Let b(p) = -2*p + 71. Let w(a) = 11*b(a) + 6*j(a). Let z be w(12). Suppose 39 - z = 4*d. Solve -v - 12 = d*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (7 - 1) - (-36 + 33)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 11. Let g be r(-50). Sort 2, g, -5, 3 in descending order.\nAnswer: 3, 2, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -956 and -10.6.\nAnswer: 10133.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in 10.131, -2\/5, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 6*x**2 - 5*x + 5. Let u be l(-5). Sort -2, u, 3 in descending order.\nAnswer: u, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 8*y - 8. What is the closest to -4\/5 in -3, 1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7448736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.01 - 3.01. Let d = i - -8. Let z = 152.8 + -149.8. Sort d, z, 0.5 in descending order.\nAnswer: d, z, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8291 - 8266. Solve 9 = t + 3*q, -r + 31 = 3*q for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d - 5*q, 8467 = -3*d + 2*q + 8492 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 89\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b - 4572. Let q(i) = 5*i. Calculate q(a(o)).\nAnswer: -5*o - 22860","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 164346872 to the power of 1\/2, to the nearest integer?\nAnswer: 12820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**6\/1080 - t**4\/18 - 7*t**3\/6 - t**2. Let q(o) be the first derivative of d(o). Factor q(b).\nAnswer: (b - 2)*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zczzwzzwcczcczzz. What is prob of sequence cccz?\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 1. Let m(s) = 2*s**2 - 5*s + 5. Let i be m(w). Suppose -u - u + i = 2*n, -6 = -3*u. Solve 0 = -2*y + 5*l + 8, n*y - 8 = -9*l + 4*l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 35945 or 35966?\nAnswer: 35966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10121 + -11330?\nAnswer: -1203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6110\/709 or -3?\nAnswer: -6110\/709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-335)\/536*18\/(-5) + -2. Let o = -0.07 - -0.37. Let h = o + -0.3. What is the biggest value in h, a, 2\/11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3\/3 + 4*h**2 + 8*h\/3.\nAnswer: 4*h*(h + 1)*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 160843573 to the power of 1\/2, to the nearest integer?\nAnswer: 12682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 12*z**2 + z - 10. What is i(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.745 rounded to zero dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g = -30 - 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - 29. Let u(a) = -2*a**3 - 11*a**2 + 7*a + 7. Let x be u(j). Solve -2*v = -2*s - s - x, 3*s + 5 = v for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) 2\/3 (c) 0.31 (d) 75 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d + 11. Let g be l(6). Suppose -6*h + 413 = g*k - 2*h, 3*k = 5*h + 233. What is the greatest common divisor of k and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -10*w**4 - 6*w**2 + 4*w. Let l(r) = -r**4 - r**2. Let x(s) = a(s) - 6*l(s). What is the second derivative of x(i) wrt i?\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-2\/5)\/j)\/j)\/(j\/((j**5\/j)\/j))*(j*j**(2\/13)\/j)\/(j\/j**(6\/5))*(j\/j**0)\/j*j**0*j*(j*j*j**(1\/2)*j*j)**(-28) assuming j is positive.\nAnswer: j**(-8063\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of t**7\/105 + t**6\/15 + t**5\/6 + t**4\/6 - 3*t**2. What is o in y(o) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 15*h - 192. Calculate z(10).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -484 = -3*l - 142. Suppose -5*y + 34 = -3*y + 4*z, 0 = -2*y - 2*z + 22. What is the remainder when l is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + u + 48. What is the remainder when 35 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-18))\/(8\/(-84)*49\/24)?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8412?\nAnswer: 2, 3, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9402km to nanometers.\nAnswer: 940200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 171390768, 171390767, 171390766, 171390765, 171390764?\nAnswer: 171390763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -1303037?\nAnswer: 1303032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 5*r**2 - r + 8. Let z be v(4). Let n = 49 - z. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -5 + 20. Solve -5*k + 0*k = -s for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 2*w - 2. Let d(m) = -5*m**3 - 9*m + 9. Give 9*b(n) + 2*d(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v - 1. Let n(q) = 1 - 2*q**2 + q**2 - 2*q**2 + 0*q**3 - q**3. Let h be n(-2). Let b be t(h). Is 3 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 641 and 641?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + -1 - 0 - (1 + -9). Suppose t*f = 5 - 0. What is the smallest common multiple of 36 and ((-2)\/(-4) - f)*(-7 - 9)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 3*l + 660. Let g = l + 179. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34970 + 56719. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 161626430 + 4?\nAnswer: 161626434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4 + 2*sqrt(153) + 1 + 2 + 1.\nAnswer: 1 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 + -18. Suppose 22 = 4*w + 6. Suppose -3*a = 5*v - 175, -w*a + 282 - 43 = v. Calculate the greatest common divisor of q and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, b: 1, h: 2}. What is prob of picking 1 m and 2 h?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*o - 3. Let n(q) = q**3 - 3*q**2 + 2*q - 4. Let d be n(o). Suppose -39 = -4*u - 59 + 84. Solve -d*r + u = -r - 3*c, c = 5*r - 10 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -237449, -237454, -237467, -237494, -237541, -237614?\nAnswer: -237719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 5299000 to the nearest 100000.\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - ((3 - 9) + 2 + -11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 12:47 AM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.99 + 3.39. What is the second biggest value in k, -2\/13, -4\/5, -2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -2*s - u, 5*u + 30 = 5*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -j - 4*m + m, -5*j - m = 1 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -cab357b - 2?\nAnswer: -cab357d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2372 - 33\/22*4\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2503089.27ns in days?\nAnswer: 0.000000028970940625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7317000 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 168 = 1796. Let f = b - 639. Suppose 198 = z - f. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3322032 (base 5) to base 16\nAnswer: e1a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, p: 10, d: 8}. Give prob of picking 3 p.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 - 1. Let s be d(-1). Let p be 77\/(-165)*2\/7. Which is the nearest to s? (a) -0.5 (b) -0.2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - b = -72, -3*b + 1 = -5*h - 75. Let x = 17 + h. Let w(f) = 2*f**3 + 4*f**2 - f - 7. Does 16 divide w(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -4*j - 26, -3*v + 51*j = 46*j - 29 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/5 (b) -43\/2 (c) 1579 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -9.03. Let y = f + 0.07. What is the nearest to 1\/4 in y, -5, -1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2246\/(-19091))\/((-112)\/34)*(63\/(-2))\/(-1).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96540251?\nAnswer: 257, 375643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 64 (base 9) to base 4\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -3033?\nAnswer: 3033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*y - 14*y + 4*g + 41867, 0 = 9*y - 3*g - 376803. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 650085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 - 760*a - 72200.\nAnswer: -2*(a + 190)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13, 13, -3, -41, -107, -207, -347, -533?\n\"Answer: -h**3 - 2*h**2 + 13*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 726, 719, 708, 693, 674?\nAnswer: 651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(76)*-2)\/(-5*(sqrt(36) - sqrt(4))).\nAnswer: sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63 + 73. Let t(b) = -18*b + 2*b - f*b - 30*b**3. Let v(d) = 91*d**3 + 78*d. Let y(h) = 8*t(h) + 3*v(h). What is the second derivative of y(c) wrt c?\nAnswer: 198*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -6*p**2 - 177*p - 61. Is m(-26) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-3)*s)\/s*s*s**(-1\/2))\/((s\/(s**(-2)*s))\/(s*(s**(-8)\/s)\/s)))**(5\/16) assuming s is positive.\nAnswer: s**(-135\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1193 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14.67 - -11.67. What is the fourth biggest value in c, -2\/29, -2, 1\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 2*o**3\/3 + 6*o**2 + 3*o - 5. Let g be t(-6). Suppose w + 5*m = -2*w - 17, g*m + 12 = 0. Let x(f) = 4*f**2 + 1. Give x(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -202*a**3 - 79*a**2 - 2*a + 66255?\nAnswer: -606*a**2 - 158*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 5 = -2*r. Let p(b) = -b**3 + 8*b**2 - 4*b - 3. Does 9 divide p(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - 5)\/(-1) - (-1)\/5*235?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 4*p - 2. Let k be v(4). Let t be ((-1)\/(-5))\/(k\/(-5)). Let m be (-24)\/20*(-2)\/(-6). Put m, t, 1\/6 in descending order.\nAnswer: t, 1\/6, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 210 + -211. Put 1.1, a, -0.4, 1 in ascending order.\nAnswer: a, -0.4, 1, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -10 + (-5 - 4 - -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f - 3*f + 0*f)*(-62 + 5 + 298) + (-f - 1 + 1)*(3 + 2 - 3) + f + 0*f - 3*f - 5*f + 2*f + 4*f.\nAnswer: 479*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ui when two letters picked without replacement from iibiibibbiuiuibiiibb.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -105 - -138. What is the remainder when 130 is divided by d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1732535 rounded to the nearest ten thousand?\nAnswer: -1730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 414627971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8099?\nAnswer: 7, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 2. Let j = 7 + -8. Is p at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -184513, -369245, -553977, -738709, -923441?\n\"Answer: -184732*y + 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6776212 to the power of 1\/2, to the nearest integer?\nAnswer: 2603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 468.9 + -539. Let l = 69.7 + j. Which is the closest to -3? (a) 0 (b) -3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 104.29 - 106.29. What is the nearest to -3 in 17, -1, v, -6\/11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*h + 685 = -41*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x**3 - 3*x**2 - 29*x - 85. Calculate k(-4).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 599*q + 940 = 693*q for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40972 greater than 40973?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 - 21 = -8*y - 29 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, s: 4, g: 1, j: 4, b: 7, x: 1}. Give prob of picking 2 f and 2 s.\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 622 + -447. Suppose 6*j - 6007 + i = 0. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - v**2 - 2*v + 1. Let m be z(2). Let a be m*-3 - (2 + 39). Let t = a + 71. Is 6 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 10:37 PM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -14 - -16632581188\nAnswer: 16632581174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3287 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -477442 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*h = 290 + 142 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1426 or 1418?\nAnswer: 1426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -105 + 108. Let h(n) = 5*n - 3. Let g(b) = -b + 1. Give y*g(q) + h(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - v + 267 + 310, q + 4*v + 140 = 0. Let f be q + 146 - (-1 - -1). Suppose 8\/3*x - 2\/3*x**4 + 4\/3*x**3 + 0 + 14\/3*x**f = 0. What is x?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**4\/2 + 608*o**3 + 17237*o**2 + 30228*o - 96147\/2 = 0.\nAnswer: -1187, -27, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(114)\/(sqrt(24)\/sqrt(4)) + -2*sqrt(171) + (sqrt(171)\/sqrt(3)*-5)\/sqrt(3))**2.\nAnswer: 1901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2101*-0.11\nAnswer: 231.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 55 (base 6) to base 7\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -688 - -998. Suppose -25*a + 20*a = d. Let s = a + 79. Solve -2*k = 5*w + 33, 2*w - 3*w - s = 3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47385388 to the nearest integer?\nAnswer: 6884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -25be9 - -8b?\nAnswer: -25b5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y**3 + 2*y + 1. Suppose 19*b - 3 = 22*b. Let f be k(b). Suppose 0*t**f + 2\/5*t**3 + 0*t + 2\/5*t**4 + 0 = 0. What is t?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5708?\nAnswer: 2, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 6:34 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 7:22 PM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12 + (2 - 1)*2. Is z greater than 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -10*z - 33 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*u**5 - 39590*u**4 + 84705*u**3 - 50340*u**2 + 5300*u = 0 for u.\nAnswer: -530, 0, 2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*t + 12, -9*t + 4*t - 4*p + 40 = 0. What is the second derivative of 6*s - 3*s - 10*s**t + 9*s**4 - 12*s**4 wrt s?\nAnswer: -156*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159 + 13017*q**3 - 159.\nAnswer: 13017*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*a - 58*a - 57 = 24*n - 27*a + 187, 37 = -2*n + 3*a for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 - 3*a - a**2 - 58*a + 61*a. Let o(t) = 2*t**2 + 243*t. Determine g(o(q)).\nAnswer: 4*q**4 + 972*q**3 + 59049*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2278*0.4881.\nAnswer: -1111.8918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 997459005?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -103474*d**5 - 2*d**2 + 50*d + 449 wrt d?\nAnswer: -6208440*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - 1\/(-4)*-1. Let l = -0.6 + 0.8. Let g = l + -5.2. Which is the closest to -2\/7? (a) g (b) -4\/7 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = 4*p - 24*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10061427*x**5 + 27*x**2 + 563*x - 10.\nAnswer: -603685620*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6731 is divided by 58.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 4995.8364 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 4*w - 6. Suppose -5*y - 3*c - 15 = -0*c, 2*c = -4*y - 12. Let r be -8 + 3*(-2)\/y. What are the prime factors of j(r)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*n = 130, 4*s - 11*n - 512 = 8. Let w(j) = 2 + 7 + 11 - j**2 - 14*j. Let a be w(-14). What is the greatest common divisor of a and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-140)\/(-18990))\/7*(-25)\/((-175)\/63)?\nAnswer: 2\/211","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*m + 9*m + 12*m + 2 + 9*m - 53*m**2 as s*m + k + f*m**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -7*g**2 - 9*g + 1354. Let l(z) = 3*z**2 + 4*z - 677. Determine -9*l(d) - 4*u(d).\nAnswer: d**2 + 677","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -14 + (-17 - 1) + 3?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**5\/4 - 45*a**4\/4 + 97*a**3\/2 + 68*a**2 - 312*a - 320 = 0.\nAnswer: -2, -1, 4, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 12 = -2*x - 2, 2*j + 3*x = 17. Let u(d) = -4 + 2 + 4853*d - 3 - 4845*d. Let t(z) = -9*z + 5. Let a(k) = j*t(k) + 5*u(k). Give a(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 5 (b) -1.165 (c) 0.03179\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/4*(-15 - -7). Let u be 3\/21*-2 + h\/(-7). Suppose -3*t = 0, -f - 7 = 2*t - 21. What is the highest common divisor of f and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + l - 3 = 0, 5 + 1 = -3*f + 2*l for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (12 - 5) + -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*l - 572 = 0, 0*u = u + l - 118. Does 29 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 5:11 PM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-9 - 471)*(-1)\/3 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of v**4\/4 + 2*v**3 + v**2\/2 + 2*v + 8. Let f = 68 + -52. Suppose 11*k - f*k = 30. What is u(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -44\/1489 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -s**5\/5 - 145*s**4\/72 - 2*s**3\/9 + s**2 - 5486*s. Determine l, given that a(l) = 0.\nAnswer: -4, -1\/36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 5:24 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -962\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yffyfffff. What is prob of sequence yy?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111101 (base 2) to base 3.\nAnswer: -2021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/654808631 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**5 - 18*j**4 - 44*j**3.\nAnswer: 2*j**3*(j - 11)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3*a - 11 - 4, 0 = -a + f + 3. Suppose a*x = -2*x - 6. Is x greater than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36820, -73652, -110486, -147322, -184160, -221000?\nAnswer: -257842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.86 - -0.24. Let l = 0.1 - z. Let o = 7.1 - 7. Put 5, o, l in descending order.\nAnswer: 5, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/10, 2\/9, -2\/7, -3, 0.12?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*t - 115900 = -1000089. What are the prime factors of t?\nAnswer: 23, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + 1 + sqrt(19)) - (sqrt(2299) + sqrt(2299)*2*4)**2.\nAnswer: -186227 - 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -34.4 (b) 1.11 (c) -0.5 (d) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -95.8, -228, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 19612172, 19612171, 19612170, 19612169, 19612168, 19612167?\n\"Answer: -u + 19612173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1175\/13 > 90?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w + 2. Let a(d) = -1. Let x(o) = 2*a(o) + v(o). Let y(s) = 0*s + 5*s + s. Let z(q) = 2*q. Let r(l) = 6*y(l) - 17*z(l). What is x(r(j))?\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 708\/22656*(1 - 61)?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -r**3\/2 - 3*r**2\/2 - 7*r. Determine i(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 5, -2*f = -4*f - 5*d + 5. Let p be (-1)\/(16\/(-48) - (f + 0)). Solve -a - 8 = p*o, -4 = -7*a + 3*a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*h + 4*x - 41, 3*x - 84666 + 84674 = -h - 0*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -4, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 90\/13? (a) -1 (b) -2\/3 (c) 2 (d) 3.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12482569 - -2032569. Round z to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 340230 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5064 + -2687. Suppose 43*z = p + 31636. List the prime factors of z.\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + 4*l + 14, 9*q - l - 16 = 6*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*g + 20. Suppose 0 = m + m + g*j - 314, 323 = 2*m - 5*j. Let c = -86 + m. What are the prime factors of c?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205862188 is divided by 115?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1743, 3502, 5275, 7068, 8887, 10738, 12627?\nAnswer: 14560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22747892?\nAnswer: 2, 79, 71987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 652 and 347984462?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2886 = 28*m - 2*m. Let c be 373\/2 - 4\/(-8). Let p = c + m. Does 19 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 9*k - 12. Let x(t) = 5007 + t**2 - 5007. Determine f(x(v)).\nAnswer: 9*v**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68 - 67.973. What is u rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 640*n**4\/9 + 3848*n**3\/9 - 86354*n**2\/9 - 364*n\/3 + 30 = 0. Calculate n.\nAnswer: -15, -1\/16, 1\/20, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -2*t. Solve t = 4*f + f + 25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -86*a - 5728*a**5 + 9773*a**5 - 5502*a**5 - 1499*a wrt a.\nAnswer: -29140*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/360 and -79\/20.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00892 to four dps.\nAnswer: 0.0089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 b when two letters picked without replacement from kocgbvggobbg.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 26*b + 1. Let f(g) = g. Let p be f(1). Let n be m(p). What is the highest common factor of n and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -19223?\nAnswer: -19223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 10*v**2 + v + 9. What is m(10)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 370.5 - 370.499992348. What is z rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 256811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.32 (b) 1 (c) -0.17 (d) -0.7 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 380337688?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -4*v + 12. Suppose 5*g = -5*w + 53499995, -2*g + 53500002 = v*g - 2*w. Round g to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5186605*c = -5187279*c - 57964 for c.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**2\/13 - 204*s\/13 + 202\/13 = 0. What is s?\nAnswer: 1, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4155562300 rounded to the nearest 1000000?\nAnswer: -4156000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.05 (b) 6 (c) 0.5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26419060*h + 26419060*h - 930*h**3.\nAnswer: -930*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/28)\/(6\/16). Let l be (1 + 1)*3\/(-6). Which is smaller: z or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 33?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.02, 6, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 729873\/1778 + -821\/2. Let p = -17762\/8001 - u. Find the common denominator of p and 4\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**4 + 213*x**3 + 216*x**2.\nAnswer: -3*x**2*(x - 72)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001000110000 + -100000111?\nAnswer: 10000100101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t**3 - 5*t - 5. Let g be -3*(-1)\/(-5)*-5. Suppose -32 = g*r - 8. Let h = -4 - r. Let i(q) = -q**3 + 2*q + 2. Give h*m(u) + 10*i(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - -27. Calculate the remainder when a is divided by 12\/(-54) + ((-83)\/(-9) - -2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1040)\/(-420))\/(-26))\/(-2).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14194752 divided by -24.\nAnswer: -591448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/20)\/(16\/160)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -3. Let k be -94*(-75)\/(-6) + s. Is (k\/(-15) + 2)\/(6\/15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 120002022?\nAnswer: 120002100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/2 - 22\/(-4). Let m(v) = 2*v - 3. Let s be m(n). What is the second derivative of 3*d - s*d**2 + 2*d**3 + 7*d**2 wrt d?\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 2*q + 2. Let b be l(2). Suppose -b*h + 5 = -h. Let i = 1 + h. Solve -4*j + i = -3*c - 6, 2*j - 4 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t - v = 5*t + 1, 8 = 4*t + 2*v for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-2) + (193 - -1). Suppose 2*u = -2*u + g. Is 18 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2002 + 2027)*(-4 + 326\/80).\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206 = -3*j - 5*d - 961, -4*j - 3*d - 1003 = 0. Let s = -241 - j. Solve 18 = -3*p + s*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20729666.\nAnswer: 2, 67, 154699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -49*n - 21. Let d(t) = 25*t + 11. Let u(r) = -7*d(r) - 4*p(r). Is u(3) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 53*q**2 - 108*q + 1147. Calculate t(-50).\nAnswer: -953","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 3*g + 45 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 2*u + 125. Let i = -124 - -54. Let c be 4\/(-14) - 230\/i. Solve -5*m = -c*s - s - u, 2*m + 4*s - 10 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14543074853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4*o**3 - 3*o**2 - 2*o. Suppose 6*a - 15 = -45. Let i(k) = -7*k**3 + 5*k**2 + 4*k. What is a*x(b) - 3*i(b)?\nAnswer: b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-285)\/(-4) + ((-940)\/(-80))\/(-47))\/(-1) - 2?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 603?\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -84.5 and 0.30376.\nAnswer: -25.66772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h**2 + h - 9. Let y(t) = -11*t**2 + t - 19. Let o(x) = 13*f(x) - 6*y(x). Let g be o(-7). What is the units digit of (-9)\/g*(-16)\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 c when three letters picked without replacement from {y: 3, f: 2, i: 5, e: 1, c: 8}.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*r - 3614 + 2913 - 10871.\nAnswer: 44*r - 11572","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 - 43*l - 67. Give f(-20).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(30\/(-5))*(33\/(-22))\/((-27)\/90)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1312, 0 in descending order.\nAnswer: 1312, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 + -35. Suppose -5*n + g + 7 + 48 = 0, 0 = -s*g + 20. What is the derivative of n*z**3 + 0 + 2 - 3 - 4 wrt z?\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) - sqrt(324)\/(sqrt(36)\/sqrt(4)))\/(sqrt(24)\/sqrt(2)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 352?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 27\/135*20\/(-11) - (-932)\/22\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(77))\/sqrt(11) + (sqrt(252)\/sqrt(4))\/sqrt(9).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 2*v - 6, o - v = -o + 9. Suppose 12*j - o = 15*j. What is the third biggest value in -1.1, -3\/7, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4356*o - 331. Is m(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -9*a**2 - a. Suppose 3*p - 2 = p. What is l(p)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -448344 divided by 312.\nAnswer: -1437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -24\/5*p**3 + 22\/5 - 2\/5*p**4 + 24\/5*p - 4*p**2 = 0.\nAnswer: -11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -8. Let z be (1\/(-2) + (-6 - -4))*s. Suppose -z*t - 2*j = -148, t + t = 5*j + 65. What is the remainder when t is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t + 2*j = 5*t - 10, 0 = 5*t + 6*j + 30 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 a factor of 117316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 77 = 12*x, -3*v + 198*x - 15 = 200*x for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 2, -5, -150, 1 in decreasing order.\nAnswer: 19, 2, 1, -5, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4*u + 432 = -768, -5*v + 2922 = -3*u. Calculate the remainder when v is divided by 194.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -16, 5, -28, -3, 7 in decreasing order.\nAnswer: 7, 5, -3, -16, -25, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(33)\/sqrt(3))*6*4.\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 242 and 1408.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 377 by -13.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.18, 0.1, 28\/5, 3104.\nAnswer: -0.18, 0.1, 28\/5, 3104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 296.1 + 4?\nAnswer: 300.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 2*z**2 + 20*z - 41. Let s be x(4). Suppose -4*d = 5*i - 85, 2*i - 2*d - s = 9. What is the remainder when 24 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -16*y - 1414. Let k be v(-92). Calculate the greatest common divisor of 2494 and k.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -8 (b) -13833 (c) -2\/19 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n - 19 - n**3 - 965*n**4 + 58 - 979*n**4 + 38 + 1945*n**4 as b*n**4 + a + m*n**2 + s*n + t*n**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**6*(l*l\/(l*l**(2\/5)))\/l)\/(l**(3\/5)*l\/(l*l**(4\/7)\/l*l)))\/((l\/(l**(1\/4)*l*l)*l)**15)**(-2\/167) assuming l is positive.\nAnswer: l**(12921\/2338)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -81.634 - 1.366. Which is the second smallest value? (a) 2 (b) -4 (c) 4 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*c = 4*n + 31, -35*n = -2*c - 70*n + 37*n - 30 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2628 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 2*b - 10. Suppose -2*s = -6 + b. Suppose f = s*f - 3. What is the greatest common divisor of f and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -80 + 113 + -79 + 19\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3603, 15105, 34281, 61137, 95679?\n\"Answer: t**3 + 3831*t**2 + 2*t - 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*i**4 + 44058574*i**3 - 734728*i**2 + 544*i wrt i.\nAnswer: -144*i + 264351444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1119*o + 1110*o - 9 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2722 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 162 + -108. Calculate the greatest common divisor of 135 and d.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o**3*p**3 - 8*o**3 - o**2*p**3 + 390*o*p**2 + 174*p**3 wrt p.\nAnswer: 12*o**3 - 6*o**2 + 1044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -n**2 + 0*n**3 + 0 + 0*n - 1\/24*n**4. Let j(u) = -6*u. Let r(o) = -13*o. Let c(d) = -5*j(d) + 2*r(d). Calculate c(q(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 2*c + 4*c)*(-26*c**2 - 74*c**2 - 16*c**2)*(0 + 2 - 3).\nAnswer: 696*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 16173*s**3 - 4*s**2 - 7*s + 3. What is the thousands digit of g(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4625 is divided by 660.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -p**6\/120 + p**3\/2 + 5*p**2. Let k be y(0). Let f(u) = u + 5. Let r be f(0). Sort 1\/4, r, k.\nAnswer: 1\/4, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -187 - -145. Let a = -290\/721 - -12\/103. What is the nearest to 0.03 in a, o, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s. Let o(r) = r**2 + 10*r. Suppose -3*k - 5*l - 8 = 0, 2*l + 7 = -4*k + 1. Calculate k*o(h) - 6*a(h).\nAnswer: -h**2 - 16*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 28204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6728507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -8. Let r be j - (2 + 22\/(-4)). Suppose -25 = -4*l - l. Put r, l, 2 in decreasing order.\nAnswer: l, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + (-1 - 0\/3). What is the remainder when 508 - h\/5*(-21 + 26) is divided by 85?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbrr when four letters picked without replacement from {k: 1, b: 3, r: 5}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 6*d + 0*d**3 + 0 + 27\/2*d**2 - 1\/24*d**4. Let b(v) be the first derivative of h(v). Let g(n) = -20*n. Determine g(b(x)).\nAnswer: 20*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x - 19. Let p(t) = -t**2 + 3*t + 11. Determine q(p(m)).\nAnswer: -3*m**2 + 9*m + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5153980 divided by -461?\nAnswer: 11180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1826196 + 2672608 + 234568 = 28*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 55\/(-45)) + (-752)\/(-18). Suppose -2*o + 41*k = b*k + 28, o + 2*k + 11 = 0. Let x(g) = g**2 + 15*g - 5. Calculate x(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/9 - 134*b**2\/9 - 4627*b\/9 - 16300\/9.\nAnswer: (b - 163)*(b + 4)*(b + 25)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17257 = -5*a + 15*j - 17*j, 3*a = -j + 10355. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2220201 - 2021211022?\nAnswer: -2011220121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30567435.\nAnswer: 3, 5, 2037829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z + 8. Let f(k) = -2 + 1 + 6 - 4. Let n be 0\/2 - 1\/1. Let p be (2\/(4 - 2))\/n. Determine p*m(v) + 6*f(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h - 1. Let r(u) = -122*u**3 - u**2 + 6*u + 12. Let t(p) = -r(p) - 6*w(p). Find the third derivative of t(f) wrt f.\nAnswer: 732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -0*q + q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4751?\nAnswer: 4751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3397 = -1142*k + 284*k - 15409 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -215, 668, 2141, 4204, 6857, 10100, 13933?\n\"Answer: 295*g**2 - 2*g - 508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eatt when four letters picked without replacement from taaaeaeaetaaaate?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(528)*5 - sqrt(528))\/sqrt(12))\/(sqrt(400)*1*-1).\nAnswer: 3*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**4 + 2*u**5 + 3*u**4 + (859*u**5 - 219*u**5 - 210*u**5)*(-1 - 2 + 1).\nAnswer: -858*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1012 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - 445*o**2 + 1373*o**2 + 12*o**2.\nAnswer: 940*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 269.0419 + -0.0419. Let j = -269.00143 + v. Round j to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g**2 - 19*g**3 - 12*g**2.\nAnswer: -19*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a minute in seconds?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, m: 11}. Give prob of sequence mkkk.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 214*t + 4601. Let l be n(-19). Solve 0 = -l*z + 531*z - 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104320 divided by 640\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 206*g + 2. Let o(i) = 137*i + 1. What is 5*h(r) - 8*o(r)?\nAnswer: -66*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222 - -121122101?\nAnswer: 121200100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 208\/(-7) - 4\/14. Which is greater: -29 or v?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 232615 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 310 and 3921996.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -5. Let x be h + (-3)\/(-3 - -6). Suppose 0*z + x*z + l - 16 = 0, l = 2*z - 12. What is the remainder when 12 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15804127 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -1432c?\nAnswer: 14333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6790440 divided by 852.\nAnswer: -7970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1396282031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 j when two letters picked without replacement from {v: 6, j: 1, h: 8}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -284 not equal to 339?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g + 2. Suppose 0 = 2*f - 19*f + 68. Let s(d) = 3 + f*d + 3 + 7*d - 3*d. Suppose 2*y = 4*z + 36, y - 2*y = -3*z - 20. What is y*c(o) - 5*s(o)?\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/57 bigger than -0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 24*k**2 - k. Let t be l(-1). Suppose -3*s - 4*n = -17 - 16, -4*s = -n - t. Let r = s + -3. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -2*t - 24, -7*r + 6 = 5*t - 3*r. Let b = 1 - 0.9. Sort 2, b, t in increasing order.\nAnswer: t, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -82\/3*r**2 - 26\/9 - 158\/9*r - 2*r**3 = 0. What is r?\nAnswer: -13, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -26*c - 468. Let a be h(-18). Suppose -2*k - 71 = -3*x, -7*x + k + 116 = -2*x. Sort x, 1, a in decreasing order.\nAnswer: x, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-6))\/(1\/(-117)). Suppose 7*c = l + 202. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 6. Let j be 0\/(-6) + 5*-1. Let g be (-216)\/232 - -1 - 1482\/(-377). Sort -4, j, g, l.\nAnswer: j, -4, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -351 - -435. Let u(b) = -6*b - 1. What is the remainder when m is divided by u(-3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/11)*z\/(z*z**11)*z*(z\/(z\/(z\/(z**(1\/3)*z)*z)))\/z*z*z**(-2\/9))**14 assuming z is positive.\nAnswer: z**(-12992\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 426800 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 - -4*33\/(-12). Let z(b) = 4*b**2 - 3. Let o(j) = -5*j**2 + 4. Give x*z(g) - 3*o(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**4\/7 + 6*h**3\/7 - 8*h\/7 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -86 - -311. Suppose p + k = -p + 109, 4*p = 5*k + f. List the prime factors of p.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -605 + 1109. Suppose 2*w + y = 5*y + 508, 2*w - u = 2*y. Suppose -3*v = -17 - w. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4\/3 (b) -0.04 (c) -135 (d) -5 (e) 4\/115 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of u**4 + 49*u**3 + 160788*u**2 - 6472983*u?\nAnswer: 12*u**2 + 294*u + 321576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 171551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 4632.\nAnswer: 23160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 16 = -11. Let b(l) = l - 3. Let v be b(11). Let q(j) = j**2 - 6*j + 11. Let p be q(v). Calculate the highest common factor of w and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 10. Let j be -7 + 5 - (2 + b). Solve -j = u + 3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**4 - 3*b**5 - 4*b**4 + 0 - b**5 + 0 + (0*b**2 - 4*b**2 + 5*b**2)*(-b**3 + b**2 - b**2) + 35*b**3 - 35*b**3 - 23*b**5.\nAnswer: -28*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -20. Let x = 13 - 11. Solve -g + 4*b - x - n = 0, 3*b - 8 = -5*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -635*u**2 - 23762 - 221*u - 215*u + 633*u**2.\nAnswer: -2*(u + 109)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 2*w + 323, -2*f + 148 = -w - 68. Suppose 22 = s - 5*p, s = -s - 3*p + f. Is 17 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*c - 62*c + 10 = -5*w + 58*c, 5*c = -2*w + 17 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 448811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -183*a - 3*a**3 + 183*a + 3*a**5 + (3 - 1 + 0)*(-3*a + a**5 + 3*a).\nAnswer: 5*a**5 - 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 18. Which is greater: -0.02 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-10)*5250\/(-9800)*(-176)\/(-11)?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1430605 divided by 3515\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 15*j**3 + 5*j**3 + 6.\nAnswer: -10*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*a - 244 = -152 + 324 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - (2 + -7 + 4) - (-43 + 37).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 7*s + 1. Calculate the least common multiple of (-2)\/(-7) + 108\/14 and o(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**0)\/t*t)\/t)**44\/(t*t**1)**(2\/7))**(4\/27) assuming t is positive.\nAnswer: t**(-16\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2137*q**5 - 2*q**4 - q**3 + q**2 - 666 wrt q?\nAnswer: 128220*q**2 - 48*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*f = 0, -3*g - 2*f - 24 = -8*g. Find the second derivative of c**2 - 2*c - g + 6 wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 635*b**2 - 22*b + 2. Let p(x) = 127*x**2 - 4*x. What is -6*f(i) + 33*p(i)?\nAnswer: 381*i**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1721624 = 15302*b - 96039 + 272161 for b.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 7:03 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a + 23*a + 4*j = -15325, 5*j - 20 = 0. Is a a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12bc5 - 18?\nAnswer: 12bab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 521, 520, 519?\n\"Answer: -q + 522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22\/413 + -359\/16520. Which is the nearest to x? (a) -4 (b) 4 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91\/1547 + ((-536)\/(-24) + -19)\/((-68)\/(-978)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -241225 + 421?\nAnswer: -240404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 9 + 5*v - 3*v - 9. Let q(a) = -15*a - 1. Calculate y(q(s)).\nAnswer: -30*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 75683 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3461 or 3459?\nAnswer: 3461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 622034 is divided by 13820?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8456694 divided by -3\nAnswer: 2818898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.95 - -8.95. Which is the closest to -1? (a) j (b) -3\/4 (c) 5 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 + (-16 + 34 - (-4 - -18))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -72\/6801235 and -82\/193095?\nAnswer: 61211115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + 9. Let o = -12 + s. Let j(x) = 24*x + 6 + 23*x - 48*x + 4. Give j(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y - 9. Let b(o) = 3169*o + 2. Give b(c(t)).\nAnswer: 3169*t - 28519","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7, -1, 13, -4 in ascending order.\nAnswer: -7, -5, -4, -1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 626.17264 rounded to the nearest 10?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -4 (c) 0.1 (d) 2 (e) -0.3 (f) 6096 (g) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -231*q. Let y(r) = -2*r. Determine h(y(i)).\nAnswer: 462*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/44, -25443, -18.\nAnswer: -25443, -18, -3\/44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (192\/112)\/((-2)\/(-14))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-330)\/(-45) + -7)*3\/(-5).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 386489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (-1)\/(-1) + 1. Find the third derivative of -3*t + 3*t + o*t**2 - 2*t**4 wrt t.\nAnswer: -48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53050 - 53050. Let b(y) = -y**3 - 3*y**2 - 2*y + 3. Let t be b(-3). Solve 0 = 6*h - 3*h - 2*f - 6, u = -2*h + 3*f + t for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 17*q + 14*q - 37*q - 2 + 2. Let b(f) = -21*f**2 + 2*f. What is a(b(x))?\nAnswer: 126*x**2 - 12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 685*u - 380*u = 343*u + 532 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 2*c + 3 + (-2*c - 2 + 2)*(-1 - 5 + 4) + c + 2*c - c + (-c - 2 - 5*c + 5*c)*(1 - 1 + 1) in the form m*c + p and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in 5, -1, -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 254*m**2 + 19*m - 37. Let t be b(4). Suppose 4*o + 2738 = 2*z, -4*z + 4*o + t = -z. What are the prime factors of z?\nAnswer: 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 7*u + 6. Let s = -18 + 25. Suppose -5*x - 37 = q, -x - 5*q = -0*x - s. Let r be b(x). Sort r, 5, 1.\nAnswer: r, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 57*w + 174. Let c be j(-3). Differentiate -n**2 + 3*n**2 + 468 - 143 + 2*n**2 - c*n**2 + 56*n**3 wrt n.\nAnswer: 168*n**2 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-256)\/4 - (-347081)\/5012)\/((-2)\/40 + 0)?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qmq when three letters picked without replacement from qqqqqqmq?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.699645 - -0.7. What is r rounded to 5 decimal places?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -19*l**3 - 15*l. Let c(u) = 9*u**3 + 7*u. Let q be -1*8 + -6 + 9. Let r(a) = q*c(a) - 2*i(a). What is the second derivative of r(m) wrt m?\nAnswer: -42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 2*y - 26 + 47.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-12)\/(-6) + 14\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1768 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {z: 5, e: 14}.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.984 * 5.\nAnswer: -14.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -24 and -187\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/9 + 29\/9. Suppose -b*n = -8 - 28. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -6. Suppose -6*t - 10 = -16*t. Let o(g) = -g. Let v(h) = -3*h. Give i*o(c) + t*v(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 8816683 = -7606882. Suppose y + 84713 = z. What is y rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 9*i - 4. Let c be q(4). Let w(y) = -16 + y - y - 3*y - 3*y. Let b(m) = 2*m + 5. Let k = 0 - -5. Give c*b(l) + k*w(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.015 and 1.28717?\nAnswer: -0.01930755","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48774.\nAnswer: 2, 3, 11, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of d**5\/60 - d**4\/24 - 19*d**3\/6 - 5*d**2. What is m(0)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 times -11242732?\nAnswer: -472194744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -77*l**3 + 3959*l + l**2 + 8442 - 8442 + 76*l**3 to the form z + n*l**2 + h*l**3 + t*l and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-3) - ((-1960)\/15 - -1). Suppose 0*s + s = u. List the prime factors of s.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 7*b + 7. Let v be l(-7). Factor 4*h - 4*h**3 - 3*h**2 + v*h**2 - 2*h**2 - 2.\nAnswer: -2*(h - 1)*(h + 1)*(2*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-2*(-1)\/(-2)). Suppose 12168 = -n + i*n. Let j = -60897\/10 + n. Find the common denominator of -42\/5 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j**3\/3 + 108*j. Let p(y) = 6*y. Determine o(p(m)).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 69191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u - u**2 - 2*u**3 + 4*u + 4*u**3 + (1257463*u - 4259*u**3 - 1257463*u)*(1 + 1 + 0) to the form x*u**3 + o + v*u + q*u**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lluuujuluujllduolllu. What is prob of picking 1 o and 2 j?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 310 (base 12) to base 14.\nAnswer: 23a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*w + 18845141 + 12648425 - 5618536. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 1 - (10 - (3 + -8 - (-13 - -21)))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 3*h**3\/2 - 40005*h**2\/2 + 21529038*h + 21549042 = 0.\nAnswer: -1, 1182, 12154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 15. Let o be q(0). What is the remainder when (-10)\/o*138\/(-4) is divided by (312\/18)\/((-24)\/(-18))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 612\/(((-18)\/(-15))\/((-64)\/(-40)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ytzatztzazbz. Give prob of picking 1 y, 1 t, and 1 b.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 997291.5 kilometers in meters?\nAnswer: 997291500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1914 divided by -35.\nAnswer: -1914\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1154, 4567, 10258, 18227?\n\"Answer: 1139*r**2 - 4*r + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 33122?\nAnswer: 33120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-201)\/(-4) - (-5)\/(-20). Let i(n) = 26*n + 1. Let k be i(-3). Let a be (-5 + 11)\/(-3) - k. Calculate the highest common factor of j and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 5*s - 7. Let v(h) = h. Let k be (3 - -1) + (-77)\/(-66)*-6. What is k*v(j) + u(j)?\nAnswer: 2*j - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**2 + 44140*a - 97416980 = 0. Calculate a.\nAnswer: 4414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4512 + -4472 - (89 - -1)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.207 + 4.097. Let g = f + -3.890146. Round g to five decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -79\/3 + 565\/21. Which is the nearest to -32? (a) f (b) -0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2750732 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 25061 divided by 2\nAnswer: 25061\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -75*c**2 - 2. Let f(i) = -7*i**2. Give f(o(a)).\nAnswer: -39375*a**4 - 2100*a**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 0*s - 2 - s - 21*s**3 - 2*s**2 + 2*s + 19*s**3. Let i(v) = 6*v**3 + 7*v**2 - 4*v + 7. Let o be (44 + -51)*(-2 - (1 - 2)). Determine o*b(x) + 2*i(x).\nAnswer: -2*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*t**2 + 116*t**2 - 58*t**2.\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 6*l**2 + l + 9. Let x be s(-6). Let w be -22*(-2)\/5*5. Suppose 4*i + 8*m - x*m - 47 = 0, 4*m = -4*i + w. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away -24371?\nAnswer: 24370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1978)\/301*(-14)\/4 - (-90)\/10.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18921*f*p**2*t - f*p**2 + 2*f*p*t - 7*f*p - 1272*f*t - 365457*f - p**2 - 7*p + 1 wrt t.\nAnswer: -18921*f*p**2 + 2*f*p - 1272*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6609475 litres in millilitres?\nAnswer: 660.9475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ws when two letters picked without replacement from {y: 1, g: 2, n: 2, w: 1, s: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -0.5573562?\nAnswer: 0.5573562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.728*52.\nAnswer: 37.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 3*d + 3, 2*d + 2 = 2*c - 2*d. Let q(f) = 3*f**2 + 2*f - 5 + c + 0*f**2. Let x be q(1). Solve -2 = -x*w + 13 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 19. Let f(a) be the third derivative of -a**5\/60 + a**4\/24 + 53*a**3\/6 + a**2. Is f(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1*v)**28*v*v**10*v\/v**(2\/11) assuming v is positive.\nAnswer: v**(746\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(360\/(-9))*4)\/(46\/4)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 20463.\nAnswer: -7\/20463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of j**6\/30 - j**5\/10 - 54*j**2. Let g(p) = 2*p**3 - 3*p**2. Determine -7*g(k) + 3*v(k).\nAnswer: -2*k**3 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**3 - 2*x**2 + 2*x. Let z be u(2). Let l = 40 + z. Does 10 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/(-125))\/2)\/((279\/(-45))\/31)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*b**2 + 123*b**2 - 62*b**2 - 7*b**3.\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gfa when three letters picked without replacement from aazfdbg?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3895012598?\nAnswer: 2, 241, 8080939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 7. Let z be i(6). Suppose -7 - z = -2*a. Is 9 a factor of (-2)\/5 + 94\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 117?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t**3 - 170*t**2 + 55*t + 1217. Calculate q(42).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**4*k + 8*j**4 + 4*j**3 - 2*j*k - 412*j wrt j.\nAnswer: 12*j**2*k + 96*j**2 + 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 80301 = -3*c, 5*q - 185*c - 401409 = -182*c. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -7, -3, 3 in descending order.\nAnswer: 4, 3, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-9))\/((-12)\/36)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -6. Let w = 14.1 + -15.1. Which is the closest to w? (a) 3\/7 (b) 1\/8 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2280911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -r**4\/24 - 5*r**2. Let c(t) be the third derivative of -t**5\/20 - t**4\/8 + t**2 - 3. Give b(c(w)).\nAnswer: 3*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, -0.5, -3499767?\nAnswer: -3499767","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1260*c**4 - 1036500*c**3 + 4768235*c**2 - 6116240*c + 1382420 = 0.\nAnswer: 2\/7, 13\/6, 818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-133*q**2 - 10589*q + 10589*q)*((3 + 2 - 7)*(-2 - 2 + 5) + 5 - 3 + 11).\nAnswer: -1463*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 145*v**2 - 131*v. Calculate b(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i + 12*i**3 + 30*i**3 - 6*i.\nAnswer: 42*i**3 - 9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tzi when three letters picked without replacement from {l: 3, i: 2, t: 1, z: 3, y: 3, s: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -119, 24, -2355?\nAnswer: -119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*s - 8*s + 210 = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m. Let r be h(2). Suppose 3*b = 2*b + 2*d - 80, 3*d = -5*b - 361. Let u = -74 - b. Put r, u, -5 in increasing order.\nAnswer: -5, u, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 31?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*c + 560 - 6748 + 1013 = 166*c for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -4*m + 3. Let i(w) = 15*w - 12. Let h be -12*4\/(-28) + 2\/7. Let g be (-1)\/2*h + 23. Let p(f) = g*k(f) + 6*i(f). What is p(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10459.\nAnswer: 10459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 17, 16, -1, -40?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -1. Suppose 2*z + 7 = -2*z + 5*s, 0 = -o*z + s + 5. Suppose -576 = -z*a - 36. Round a to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1775, -3548, -5321, -7094?\nAnswer: -8867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 4*y + 1. Let x(a) = 501*a**3 - a**2 + 16*a - 4. Determine 4*o(k) + x(k).\nAnswer: 505*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4285\/3173 - -3\/167. Let z = t - 471\/247. Is z at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 13 = 44. Calculate the remainder when r is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102 (base 4) to base 9.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/(15827\/112))\/(168\/588).\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 85*g**2. Let l(i) = 2 - 5 + 7782*i + 4 - 7755*i. Determine u(l(o)).\nAnswer: 61965*o**2 + 4590*o + 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = 129*h - 243*h + 121*h for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17*s*u**3 + 476*s - 6*u**3 wrt u?\nAnswer: 51*s*u**2 - 18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -67.1 - -67. Let c = 57 - 27. Let i = c - 29.98. What is the closest to h in -0.2, i, -4\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 s, and 1 b when three letters picked without replacement from sbejaebsq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 0.684112.\nAnswer: -0.584112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-6) + (-230)\/(-6). Let s = r - 36. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 235 - 233. Let o(m) = -m - 17*m**t + 5*m**3 - 13*m**2 - 4*m**3 + 30*m**2. Determine o(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16503545 to the power of 1\/2, to the nearest integer?\nAnswer: 4062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(175))*-5.\nAnswer: -25*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 3 - 234*h + 2*h**3 - 158*h - h**2.\nAnswer: 2*h**3 - h**2 - 392*h - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*v - 28*v + 11*v + 12*v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 992469?\nAnswer: 3, 330823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 10:25 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2963 - 0.4\nAnswer: 2962.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 - 45*z + 64. What is u(21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-24))\/(465\/75)*14\/35?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -139351 times 0.122?\nAnswer: -17000.822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-32)\/(-14) - (2 - 0). Solve 0*h - 2\/7*h**2 + p = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5068, 21496, 49270, 88378, 138808?\nAnswer: 200548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*v + 1 + 26 - 26 - 3*v + (-1 + 0 + 0)*(-4*v + 5*v - 2*v))*(2*v**2 + 0*v + 0*v).\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 104\/18 - 74\/(-333). Let -u**2 + b*u - 2*u - u + 13*u = 0. Calculate u.\nAnswer: 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.923691 to 1 decimal place.\nAnswer: 16.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 8 = 4*q, -4*q + 2*p + 3*p = -32 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 6 + (-2 - 5) + -6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 66669 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12 or 54\/5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dgg when three letters picked without replacement from {g: 4, x: 5, q: 3, d: 1}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*q - 8. Put 0.1, -0.3, q, 4\/7 in ascending order.\nAnswer: q, -0.3, 0.1, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-6))\/((-2)\/(-24)). Let g(i) = 10*i + 190. Let j be g(-19). What is the third derivative of 8*h**6 + 5*h**6 + 7*h**2 + j*h**d wrt h?\nAnswer: 1560*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/(b\/b**(-3\/13)*b*b*b*b*b))*b*b**14*(b**(-2\/5)\/b)**(-1\/17) assuming b is positive.\nAnswer: b**(23551\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29632464.\nAnswer: 2, 3, 23, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40698 and 430950?\nAnswer: 171949050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 233, 0, 10, 4, 5, 2 in increasing order.\nAnswer: -1, 0, 2, 4, 5, 10, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -7*h**2 - 8*h + 1. Let y = 3467 - 3450. Let k(u) = 22*u**2 + 23*u - 3. Give y*b(o) + 6*k(o).\nAnswer: 13*o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/10)\/o*o**1)**(3\/4) assuming o is positive.\nAnswer: o**(3\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -40*l**2 + 189*l + 866. Determine h(-4).\nAnswer: -530","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11671 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 + 5*f**3 + 1445776 - 1445776 + 5*f**2.\nAnswer: 5*f**3 + 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -4) + 14 + (9 - 57)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*4*(sqrt(245) - 2*sqrt(245)) - (sqrt(605) + sqrt(605) + -2 + sqrt(5) + -3 + sqrt(15)\/sqrt(3)))**2.\nAnswer: 1440*sqrt(5) + 103705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 40*g - 342. Let v be j(15). Sort v, 1, -6.\nAnswer: -6, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 45 - 66 - 28*q.\nAnswer: -28*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 1:32 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -8*((-7)\/(168\/(-18)) - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/19659588 and 9\/2016368?\nAnswer: 78638352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 233 - 3963\/17. Let s(h) = -h**3 - 4*h**2 - 19*h - 50. Let r be s(-3). Let b be (12\/24)\/(r - (-9)\/(-6)). Put b, 0.2, q, -0.5 in ascending order.\nAnswer: -0.5, b, q, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 913*y**2 - 2096*y + 243382. Calculate k(915).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*x - 2 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 4:07 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**2\/9 - 844*b\/9 + 89042\/9 = 0.\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 + 0.3. Let a = -6 + 6. What is the nearest to a in -2, 0.1, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4544 from 1913194.\nAnswer: 1917738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 + 47 = -4*h. Let o = h + -1. Let x = 3 + o. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -934*w**3\/3 - 5*w**2\/2 - w + 10. What is the second derivative of a(b) wrt b?\nAnswer: -1868","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 370?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 1017?\nAnswer: 8136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-15072)\/56*(-56)\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 606 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1962896 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.31 from -163716600985.\nAnswer: -163716600986.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 15) to base 11\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-430)\/(-10) - (-1 + 1). Let m = h - 24. Let 12*s**3 + 2*s + 8*s**3 - m*s**3 + 3*s**2 = 0. Calculate s.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(136)\/(sqrt(8) - -2*sqrt(8)) + 1*sqrt(17)*-2*4.\nAnswer: -23*sqrt(17)\/3 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6 - 48\/(-9) - 1610\/6. Let t = 274 + m. Solve 7*l - 6 = t*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*m + 1 - 9 - 13*m wrt m.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 v when three letters picked without replacement from kffvvpgffpkgg?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 13*g - 6. Let n(m) = -259*m + 119. Let v(t) = -119*f(t) - 6*n(t). Let k(y) = -13*y. Suppose -2*w + 30 = 3*w. Let i(l) = w*k(l) + 11*v(l). Give i(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 685691696 or 685691697?\nAnswer: 685691696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -365*t**2 + 40*t. Let w(h) = 28*h**2 - 3*h. Let p(u) = 3*b(u) + 40*w(u). Let k(r) = -2*r. What is p(k(f))?\nAnswer: 100*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 40 and -39.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 3*n - 16. Let l(m) = -4*m**2 - 10*m - 4. Let o(t) = -3*t**2 - 7*t - 3. Let f(a) = 5*l(a) - 7*o(a). Is 13 a factor of f(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkkkdjhkkl. What is prob of picking 1 j and 1 k?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.073 + 0.073. Sort 4, 5, m in ascending order.\nAnswer: m, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/4 and (3 - 948\/272)*10\/(-3).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -7*n**5\/90 - 19*n**4\/54 - 8*n**3\/27 + 4*n**2\/9 + 11*n. Factor o(i).\nAnswer: -2*(i + 1)*(i + 2)*(7*i - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-11)*4\/8. Let f = -3 - -2.98. Let z = 0.48 - f. Which is the biggest value? (a) k (b) z (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 6881*p + 280449. Give t(-41).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -10 (b) 2\/11 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 5*s + 10, 5*l = 3*s - 4*s + 6. Find o such that 0*o + 1\/3*o**l + 0 - 1\/3*o**5 + 1\/3*o**3 - 1\/3*o**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 1462 - 1466 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 450 - 475 = -2*q, -18 = 2*v - q for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2438 + 4117. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*v - 75*v + 38*v - 1)*(-25*v + 20*v**3 + 25*v).\nAnswer: -320*v**4 - 20*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 17, 24, 33, 44?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -10, 3, -2, -13.\nAnswer: -13, -10, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -5*t + 5. Let i be (16\/(-10))\/((-6)\/t). Solve 26 = -i*g + 10 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwllwwlwwwwlwwl. What is prob of picking 3 l and 1 w?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*s = 33*s + 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2210*b**3 - 15*b - 30?\nAnswer: -13260*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o = -13*o. Sort 2\/3, -0.4, o.\nAnswer: -0.4, o, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 19*i - 5907. Give n(317).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(12 - 13*a - 12) + 1 - 1 - 2*a + 7 - 7 + 2*a + 0 + 0 + a + (0 - 1 - 1)*(-2*a + 1 - 1) - 2*a + 1 - 1 - 3 + a + 3 - 3 - a + 3.\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d**3 + 10*d**2 + 43*d - 3. Suppose 0 = 4*b - 2*b, -2*s = -4*b - 90. What is the remainder when g(-4) is divided by s?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 266576.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) - (4*sqrt(448)*-6)**2) + sqrt(448) - (0 + (5*sqrt(700))**2).\nAnswer: -275548 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 219 minutes after 8:13 AM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 3*j - 21708, 2*y + 10*j - 14452 = 8*j. List the prime factors of y.\nAnswer: 7, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 512783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24, 47, 70, 93, 116?\n\"Answer: 23*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13550.8 rounded to the nearest ten?\nAnswer: 13550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 32, 65, 98, 131, 164, 197?\n\"Answer: 33*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4110 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4113 rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**4\/4 + 4217525*w**3\/4 - 296458970220*w**2 + 27785122884882880*w - 27784826426967040.\nAnswer: -5*(w - 281168)**3*(w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**4 + y**2 - 2*y. Let x be ((-54)\/45 + 2)*(-5)\/2. Let o(q) = q**5 - 9*q**4 - 12*q**3 + 7*q**2 + 18*q. Let t(k) = x*o(k) - 18*f(k). Factor t(d).\nAnswer: -2*d**2*(d - 2)**2*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -100 + 17*j + 8*j + 671 - 216 - 209. Determine a(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 6654?\nAnswer: -5\/6654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 225*p*w**4*y - p*w*y + w**4 - 2*w*y + w - y wrt w.\nAnswer: 2700*p*w**2*y + 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of 0*k**3 + 0*k + 0 + 11\/24*k**4 + 51*k**2. Let a(d) = -4. Let r(w) = -w - 5. Let g(i) = -5*a(i) + 4*r(i). Calculate h(g(t)).\nAnswer: -44*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 220\/(-88)*(-72)\/150*1?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 46, -127, -4, 5 in ascending order.\nAnswer: -127, -18, -4, 5, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(539) - (sqrt(539) + -6*(sqrt(539) + 1)) - sqrt(539)))**2.\nAnswer: 3780*sqrt(11) + 121599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-3))\/((-1)\/15). Let h(b) be the second derivative of -1\/12*b**4 - 3*b + 0 - 2*b**2 + 7\/6*b**3. Give h(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256192 greater than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 209 (c) 2 (d) 6085\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6917, -7614, -8309, -9002, -9693?\nAnswer: -10382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8972 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1414?\nAnswer: 2, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012123472 to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = v + 2*q + 10, -4 = -4*q. Suppose 0*h - d = -2*h + 5, h - v*d - 5 = 0. Suppose -26*b**h - b + 9*b + 4 + 10*b**3 + 4 = 0. Calculate b.\nAnswer: -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108596393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ptxnxxtnx. Give prob of picking 1 t and 1 p.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -208*-264465.\nAnswer: 55008720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12129701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19240 and 960.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -5*r**2 - 2*r**2 + 8 + 4*r**3 - 3 - 2*r - 3*r**3. Let q be s(7). Let w = q - -16. Solve 4 = g + w for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-859 + 1717 + 4023*r**2 - 858 - 1023*r**2)*(-15 + 15 - 5*r) in the form k*r + b*r**3 + y + g*r**2 and give b.\nAnswer: -15000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24\/251, 97, -3\/4.\nAnswer: -3\/4, -24\/251, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11380141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15474, -122838, -413572, -979146, -1911030, -3300694, -5239608?\nAnswer: -7819242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h + 137. Let m be j(26). Suppose m + 35 = 9*i. Calculate the greatest common factor of i and 638.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 12 = -13*t. Suppose -3*y + 29 = 3*h + h, y + t*h - 13 = 0. What is the closest to y in 4, -1\/3, -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -2. Let g be c*(24\/9 - 2). Let a(u) = 0*u**3 - 9*u + 2*u**3 - 6*u**2 + g + 4 - u**3. Give a(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 760.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-18)*s)\/s**(-35)*(s\/(s\/(s*(s\/(s*s*s\/s**(-17)*s))\/s)))\/s*s*s\/(s*s**(-2\/29)\/s))**(-2\/11) assuming s is positive.\nAnswer: s**(-2092\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 1735595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.06, -3, 46, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 10:22 PM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 89564429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 15 = -2*n, -10*t + 5*t = n - 10. Let d = -0.2 + 0. Let q = 0.2 + d. Sort n, -3\/8, q.\nAnswer: -3\/8, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16\/9, 4\/29, -1, -0.031 in increasing order.\nAnswer: -1, -0.031, 4\/29, 16\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3569, 14261, 32073, 57005, 89057?\n\"Answer: 3560*v**2 + 12*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 338, 757, 1258, 1841, 2506?\n\"Answer: 41*g**2 + 296*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 19*t + 1\/4*t**4 + t**2 + 0*t**3 + 0. Let x(y) = 16*y**2 + y + 11. Let a be (-3 - 0) + 1 + 0. Give a*x(q) + 11*d(q).\nAnswer: q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + x + 4*z - 974 = 0, 5*x - 5*z - 4895 = 0. Suppose 20*h - x = 18*h. Let v = 698 - h. What is the greatest common factor of 19 and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 + -118. Let j = d + 80. Let q(v) = -v**2 + 4*v + 3. Let s be q(4). Sort j, s, 5 in decreasing order.\nAnswer: 5, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000104924 rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -43 + 135516?\nAnswer: 135453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 11 = -7. Sort i, 20, 0.\nAnswer: 0, i, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -152.7 and 2305338.\nAnswer: 2305185.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38513810 to the nearest integer?\nAnswer: 6206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -453.71 and 0.5.\nAnswer: -453.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/4*7\/((-49)\/4). Suppose -x*p + 34463 = 11*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -l - 6 - 9, 2*l - 15 = 5*v for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11902 and 3362856.\nAnswer: 1082","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(4\/5)*d**0)\/(d**(-1)*d*d)**(-30))**33)**(-9) assuming d is positive.\nAnswer: d**(-45738\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21.1 - 4.1. Let k = -2.409 - 14.626. Let i = k + p. What is i rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*f - 1017 = 33*f + 593 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18718.5826402563 + -0.5173837437. Let j = i + 18719. Let h = -0.1 - j. Round h to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*s = 5*a - 60, 3*a - 2*s = 80. Suppose 4*w = 64 + a. Calculate the smallest common multiple of 22 and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1425*0.34\nAnswer: 484.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0 - 5 = 0. Let r(g) be the first derivative of 2*g**3 - 5*g**2 + 26*g - 138. Let a be r(t). What is the highest common divisor of a and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -504074 or -504029?\nAnswer: -504074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6042 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.53961 - 0.539579071. Round y to seven decimal places.\nAnswer: 0.0000309","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 3*o**5\/20 - 2*o**3\/3 + 3*o. What is the second derivative of x(q) wrt q?\nAnswer: 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 140507697?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -777849 > -0.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*r + 691 - 690 + 7*r + (1 + 2 - 1)*(6*r - 6*r + 4*r).\nAnswer: 24*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2377024 at least as big as -2377025?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 6*t + 146 = 2*t, -t - 186 = -4*c. Is 19 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3148*r + 3 - 2 - 1.\nAnswer: 3148*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 89*l - 69*l - l**3 + 4 + 2*l**3 - 3 in the form y + g*l**2 + m*l + f*l**3 and give m.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-102) + ((-7)\/1 - (-615)\/90)\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 1046 = y - 0*y, 2*g = 2*y + 1042. Let o = g + -128. Suppose 5*r - 2*b - o = 0, -6*b - 5 = -b. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-13 - (-4 + 2 + 1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((588\/91)\/14)\/((-333)\/(-222)*2\/39)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of 2*a**2 + 0*a**5 + 0*a**3 + 0*a**4 - 2\/315*a**7 - 1\/126*a**8 + 0*a + 0 + 1\/90*a**6. Solve c(x) = 0 for x.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 + 5*d - 5. Let s be t(2). What is the highest common divisor of s and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -12 + 5 + 4 + -1. Let a be t - 7\/3*3. Which is bigger: -12 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 135539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4)\/j**(-40))\/(j**3)**(-36) assuming j is positive.\nAnswer: j**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8429 or -8363?\nAnswer: -8363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -73496992*n**2 - 57565*n - 10.\nAnswer: -146993984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 3:33 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*m + 9*m**2 - 7*m + (-2*m + 0*m + m)*(3*m - m - 4*m) + 3*m**2 + 2*m**2 - 3*m**2 - m**2 - 1 + 1 + (3 - 2*m - 3)*(-m + 0*m + 0*m).\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -18.6*-0.1\nAnswer: 1.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4395.\nAnswer: 3, 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4776948 divided by -36189?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (235\/(-20)*1)\/(3\/(-12)). Suppose j = -2*r + 15. Suppose -3*w - 17 = -2*w. Which is bigger: w or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -p**6\/10 - p**3\/2 + 4*p + 2. Let m(w) be the first derivative of j(w). What is the second derivative of m(u) wrt u?\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -934*g**2. Let k(s) = -23*s. Give k(j(p)).\nAnswer: 21482*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42.8 - 38.8. Put -19\/3, 2, -4, r, 0.2 in ascending order.\nAnswer: -19\/3, -4, 0.2, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53623 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y - 8. Let g be r(0). Let p(m) = -6*m**2 - 24*m + 7. Let h be p(g). Calculate the common denominator of -77\/16 and (h\/40)\/(6\/8).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1033676 divided by 147668\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 18. Let f(t) = 4*t - 2*t**p + 22*t**2 - 23*t**2 - 3*t. Determine f(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l - 6. Let c be 7\/(-21) - 16\/6. Let s be k(c). Suppose 0 = -s*h + 7 - 1. Solve -g + 5 = 3*m, 0 = 4*g - 0*g - h*m + 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 574 and 738.\nAnswer: 5166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 201 and 41071?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.07, 0.036263, -2\/17?\nAnswer: 0.036263","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74, -914, -1, 4, 0, 15 in decreasing order.\nAnswer: 15, 4, 0, -1, -74, -914","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261025497 + 261025497 - 3*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -5*c + 7326*m - 7324*m + 49, 4*c = 8*m + 172 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/6*9\/(-16). Let g = 994.23 - 993.83. Put q, g, -1\/6 in decreasing order.\nAnswer: g, q, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**5\/3 + 176*h**4\/3 + 1232*h**3 + 13120*h**2\/3 - 42400*h\/3 = 0 for h.\nAnswer: -10, 0, 2, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/12)\/((-302)\/(-1812)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -5410*o - 13090. Let f be m(-11). Calculate the greatest common divisor of f and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -799\/120 - -211\/30. Is s not equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 m when two letters picked without replacement from {m: 1, l: 3, k: 3, s: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express t**2 - 2*t**3 - 1 + 0*t**2 - t**3 - 5 as y*t**3 + q*t**2 + j + h*t and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8228 divided by 1?\nAnswer: 8228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.0786 - 7\nAnswer: -6.9214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and -80.1313718387.\nAnswer: -80.5313718387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + 122 - -89 - 126.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 + 19. Let k be y\/10 - (-2)\/5. Suppose -4*q = -k*q + 72. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(330)\/(sqrt(40)\/sqrt(4))*-2*6)\/(5*(sqrt(99) - (sqrt(99) + (sqrt(99) - (sqrt(99) - -3*(sqrt(99) - -1*sqrt(99)))) - sqrt(99)))))**2*-6.\nAnswer: -288\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1133*r + 382*r + 378*r - 1 + 376*r.\nAnswer: 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*b - 327, 2*b + 3*x + 440 = -2*b. Let l = b + 162. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 5*y + 13. Let z(n) = 3*n**2 + 15*n + 38. Let t(u) = -8*x(u) + 3*z(u). Does 8 divide t(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 1:55 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/9*33\/(-2). Let w be y\/3 - 2\/(-6). Let r = 3 + w. Does 1 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**3 - 21445*i**2 + 41370830*i + 82827400 = 0. What is i?\nAnswer: -5732, -2, 1445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 8*o**2 + 6. Let i be l(8). Let p be (22 - -2)*3\/6. Let z be (-3)\/(-12) + 45\/p. Solve i = -z*u + 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-11)\/(99\/(-12)))\/(22\/(-363))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 9*j**2 + 13*j - 33. What is g(10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 413397599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*l - 2*l**2 + 2*l**2 - l**2)*(l + 0*l + 2*l).\nAnswer: -3*l**3 - 21*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2)**(-7)\/(r**(-3)*(r\/((r\/r**(-5))\/r*r))\/r))**(-8) assuming r is positive.\nAnswer: r**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**3 + 152360*t**2 - 2899104346*t - 98745754532 = 0.\nAnswer: -34, 38107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**4 - 719*i + 0*i**4 + 718*i + 4 to the form s*i + b*i**2 + w*i**3 + h + c*i**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16696\/10*(-2)\/(-24). Let x = 139 - v. Let w = 206.4 + -206.8. What is the closest to -0.1 in x, w, -3\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 27*t**4 - 11 - 5)*(2 + 3 + 2).\nAnswer: -189*t**4 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5*o - 3 + 28 = 0, o = -2*y + 5. Suppose -4*i + 0*i = y. Let z = i + 22. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-4\/5)*z\/(z**(-4)*z*z)*z**(2\/13)\/(z*z**(-1)*z) assuming z is positive.\nAnswer: z**(88\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 50 + 14. Let m be 78\/22*8\/28. Let p = m - 7631\/616. Calculate the common denominator of o and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64*n - 2 + 2 + 675*n + 1030*n to the form k + z*n and give z.\nAnswer: 1769","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4)*h**(-1\/8))\/(h**(1\/3))**26 assuming h is positive.\nAnswer: h**(-307\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 53*f**4 - 47*f**4 + 72 - 58*f**4 wrt f.\nAnswer: -208*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3827449895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -3. Let a(d) = -d - 1. Let m(s) = 4*s - 2. Let l(k) = -3*a(k) - m(k). Determine l(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 290265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56 + -50. Which is bigger: -0.3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -3. Suppose 0 = -w*t + 3 + 12. Let m(o) = 2*o**2 + 3. Let f be m(2). Solve 2*r + 14 = -t*i, -5*r + 8 + f = -i for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32070 by -5.\nAnswer: -6414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 59*t - 115. Is i(28) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a + 2. Let m(z) = z**2 - 2. Let n be m(0). Calculate the remainder when (n\/6)\/(1\/(-51)) is divided by x(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y**2 - 2*y. Let l(h) = 1 - h - 9 + 8. Let c(s) = -5*l(s) + v(s). Find the second derivative of c(f) wrt f.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24358 divided by -1.\nAnswer: -24358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6430160 is divided by 312?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*y - 1537 + 51*y - 1538 + 3075 - 214*y.\nAnswer: -193*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x. Let n be w(-5). Suppose n*v - 2*v = -63. Let p = 37 + v. Is p a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1301+-4.8145\nAnswer: -1305.8145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 13, 0, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.69104 rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1710276 is divided by 2154?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27027\/2290 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 3*s**2 - 3*s + 1. Let i be f(2). Which is the second biggest value? (a) 3 (b) -0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -483 - -484. What is the second smallest value in 0.1, -1\/5, 0.4, v, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -7. Which is the third biggest value? (a) f (b) 2\/11 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1447 divided by 5.\nAnswer: -1447\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 704071415 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*g + 20 + 18, -5 = -s + 3*g for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 0.1. Suppose h + 3*h = 4. Let a be 9\/(-6)*h\/(-4). What is the nearest to o in -4, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/7)*z**(-8)*z)**(-25)*(z**(2\/5)*z)\/z*z*z\/(z\/z**5)*(z**0)**(-2\/29) assuming z is positive.\nAnswer: z**(6099\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 71316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 6*t + 8. Let o be j(7). What is the remainder when -6 + 8\/o + -4 + 30 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 525 + -150. Suppose -2*l - 3*k + 138 = -k, -5*k = -5*l + o. What is the greatest common divisor of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*d**3 + 5*d**3 - 30*d + 30*d + 4*d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.2311323 - 2.231. Round v to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*(r*r*r*r*r\/(r\/r**(12\/11)))\/r*r))**(-42)*r**(-4\/13)*r**(-1\/27) assuming r is positive.\nAnswer: r**(824221\/3861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xjjxjj. What is prob of picking 3 j and 1 x?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*j + 3*j - j + (1 + 3 - 2)*(105*j + 19*j - 28*j) + j + 4 - 4 as p + c*j and give c.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -29*d**2 - 8*d. Suppose -j = 6*y - 7*y + 6, -3*y + 2 = -j. Let l(g) = 19*g**2 + 5*g. Calculate j*l(f) - 5*w(f).\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -5 (b) 2 (c) -198\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from ueouony.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 377459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5*w = -43, w = -4*t + t + 45. What is the remainder when -3*(2 + -15) + 1 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.349 to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -47\/3*b**3 + 19 + 151\/2*b**2 + b. Differentiate l(j) wrt j.\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**4\/3 + 70*j**3 - 2585*j**2\/3 + 2660*j - 7220\/3.\nAnswer: -5*(j - 19)**2*(j - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*sqrt(468))**2.\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 8.6082 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -d**4\/4 + 5*d**3\/3 + d**2 - 6*d + 3. Let a be i(5). Let b be a\/3*(-9)\/6. Is b != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**5 - 7*g**4 + 11*g**3 + 53*g**2 + 36*g - 2. Let p(v) = -2*v**4 - v**3 + v**2 - 1. Let k(n) = 2*p(n) - y(n). Suppose k(l) = 0. Calculate l.\nAnswer: -3, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.06 - -1.36. Is -7\/5 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 36460, 72263, 108064, 143863, 179660, 215455, 251248?\n\"Answer: -s**2 + 35806*s + 655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 325960.8 weeks?\nAnswer: 197141091840000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4))**(27\/2)\/(o**(2\/11)*o\/(o**(1\/8)*o)) assuming o is positive.\nAnswer: o**(-4757\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156*p**2 - 46543*p + 46543*p.\nAnswer: 156*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115, -275, -483, -739?\nAnswer: -1043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a day in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.2 (b) 0.3 (c) -5 (d) 58211\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 1. Let q(w) = -12*w + 30. Determine -30*m(h) + q(h).\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1180820 rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1*(sqrt(931) + 3 + 0) + (sqrt(1216) - (sqrt(1216) + -5) - (1*sqrt(76)\/sqrt(4) - sqrt(19) - sqrt(19)))))**2.\nAnswer: 2048*sqrt(19) + 20480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 6:31 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of s**3\/2 - 21*s**2\/2 - 1133*s. Let b(j) = 1. Give -63*b(y) - 3*v(y).\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuoouomxhuoomoxooox. Give prob of sequence xmx.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4071, 16466, 37173, 66186, 103499, 149106, 203001, 265178?\n\"Answer: -l**3 + 4162*l**2 - 84*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, i: 1, c: 2, z: 1}. What is prob of picking 2 c, 1 i, and 1 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 44, -2, -3, -9 in decreasing order.\nAnswer: 44, 2, -2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 22. Let s = 6 + c. What is the remainder when s\/(-4) - 249\/(-12) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1139 and 402.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16947306*p**2 + 169473056*p - 40.\nAnswer: 2*(p + 10)*(8473653*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54873 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 5) + -8 - (-27 + 12 + 94 + -2)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 277922*y**2 - 997120*y**2 - 2*y - 8*y + 10*y.\nAnswer: -719198*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5486462 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -610 divided by 122\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 386283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -11*w**3 + 222*w**2 + 195*w - 98. Calculate v(21).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62129310 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c**4 - c**3 + c**3)*(-3 - 3 - 1) - 2*c**4 + c**4 + 2*c**4 + 5*c**4 - 21*c**4 + 14*c**4 as d*c**2 + q*c**3 + h*c + x + u*c**4 and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 257619\/9 + (-4)\/12 + -44 + 40 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-78)\/(-18) + 4\/(-12) + -12. Is 3 a factor of (1 + 0)\/(a\/(-72) - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 52*m**2 - 903*m - 520. Determine f(18).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11.7 and 30.97?\nAnswer: -362.349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cantmhhcmmmtma. What is prob of picking 2 a?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 12*n**2 + 197*n + 259. What is the least common multiple of w(-63) and 6?\nAnswer: 106428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 11:58 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*y + 22*y - 96 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 + 22. What is the highest common factor of 528 and j?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -74 + (72 - 90) + (0 - (0 + 2 - 9)).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*i**3 - 7*i**2 + 10*i**3 + 6*i**3 + (-3 - 1 + 2)*(4*i**3 - 3*i**3 - 2*i**3).\nAnswer: 4*i**3 - 7*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-123)\/57)\/((-2281)\/(-43339)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100012121 + 2021212?\nAnswer: 102111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4602423 (base 8) in base 6?\nAnswer: -42414431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*p + 51*p = 50. What is the smallest common multiple of p and (-24 + 52)*5\/4?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 117 and -1.88?\nAnswer: 118.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1488787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 916587 is divided by 19994?\nAnswer: 16857","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 6:20 AM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 5\/(10\/8). Suppose 5*v + 4*d = -20, 0 = 3*v - b*v - 3*d - 15. Suppose v*s - 4*s + 4*o = -56, s + o - 16 = 0. Solve -s = -3*j - 2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -5*a**4 + 22590*a**3 - 34043100*a**2 + 17146239250*a - 51132939375 = 0.\nAnswer: 3, 1505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-0.89.\nAnswer: -3.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5\/324 + -11041\/1620. Let q = 10 + -13. Find the common denominator of a and (-2)\/8 + q\/(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v + 148 = 3*h - 18*v + 226, 3*h - 3*v + 15 + 27 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 9*h = -10*h - 2, 0 = 5*a + 4*h + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 964628242.\nAnswer: 2, 482314121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005635 to five dps.\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*n + 115 = 23*n - 1931. Solve 0 = -n*g + 69 + 55 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 8:40 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1564*f + 329288 = -1556*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15316580971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*j**3 - 414 - 3575 + 3989.\nAnswer: 43*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -11486*f**2 + 11*f - 6. Let l(p) = 34*p**2. What is t(l(b))?\nAnswer: -13277816*b**4 + 374*b**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 5*i**2. Let p(h) = 35*h + 5. Let c(x) = -x - 1. Let t be (9\/(-2) + 2)*(-1 - -3). Let r(l) = t*c(l) - p(l). Calculate r(g(m)).\nAnswer: -150*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.02 (b) 4\/5 (c) -3\/8 (d) -4 (e) -3 (f) -77\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (12\/15)\/((-16)\/((-80)\/9))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**2\/4 + 329387*j\/4 - 494085\/2 = 0.\nAnswer: -329390, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 15*s**2 + 1107*s + 655. Determine q(-73).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*n**2 + n**2 - 707 + 707.\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, r: 5}. What is prob of sequence hhhr?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a - 3*a**2 + 4*a - 6*a - 5*a**2 wrt a?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -152222 divided by 21746?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -102*b**2 + 2*b. Let k(f) = -2*f. Calculate k(g(i)).\nAnswer: 204*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 5\/3, -2\/17, -3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -18250, -72886, -163938, -291406, -455290, -655590?\n\"Answer: -18208*u**2 - 12*u - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -859, -873, -895, -925, -963, -1009, -1063?\nAnswer: -1125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 52133823.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 33 = -5*j, 2*j - 9 = -4*k + 1. Let x(s) = -j*s**2 - 16*s**2 + 21*s**2. Let l(n) = 5*n. Calculate x(l(u)).\nAnswer: -50*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -4, 293\/10, 11, -5\/2, 5 in decreasing order.\nAnswer: 293\/10, 11, 5, 2\/11, -5\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327493 is divided by 46727.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11824 and 672330376?\nAnswer: 5912","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 4*f**2 + 5. Let k be m(-4). Let a = 39 + -24. Solve 2*u + 2*o = k*o + a, -u = 4*o + 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**3 + 5344*y - 5344*y.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -8. Suppose 5*q + 20 = 5*u, 9*u + q = 4*u + d. Which is smaller: 2\/5 or u?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20986 = -158*l + 16562 for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 41 = -5*p, 0*v - 6 = v + 2*p. Let c = -6 - -5.6. Put v, c, -0.5 in descending order.\nAnswer: v, c, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24488937 to the power of 1\/3, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -6. Let q(d) = -11*d + 11. Let r(j) = 2*j - 6. Let g(f) = 2*f - 5. Let w(y) = -4*g(y) + 3*r(y). Let o be 0 + 2 + 0 + -36. Give b*q(s) + o*w(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102, 105, 110, 117, 126, 137, 150?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -249*x - 28593. Calculate w(-116).\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(102)\/sqrt(6) + -5 + sqrt(68) + sqrt(68)*3 - (2 + 1*sqrt(1088) + sqrt(1088) + -6*(1 + sqrt(1088))))**2.\nAnswer: -82*sqrt(17) + 28582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 94 = 98. Let i(t) = -23*t + 177. Let j be i(7). What is the highest common factor of d and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*i - 167113 = -524619, -3*w = 4*i - 536259. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 3:01 PM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5)*a)\/a**(-9)*(a**2*a)**29*((a\/(a*a\/(a\/((a*a**(3\/2)*a*a*a)\/a))))\/a*a*a*a\/a**(-2))**(-15\/4) assuming a is positive.\nAnswer: a**(751\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/6 + 2\/6. Let q be (j\/5)\/(5\/(-50)). Find the second derivative of 10*d**5 + 2*d - 11*d**5 + 0*d**4 + 0*d**q wrt d.\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 16, l: 4}. What is prob of picking 2 l?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d - 8917468 + 8917468 + 3*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 9:55 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(425)*-2 + -2)**2 - sqrt(425) - sqrt(425)).\nAnswer: -6816 - 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a - 8*a + 5*a - 2*a to the form p*a + d and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -34923225*h. Let b(q) = 5*q. Calculate b(k(m)).\nAnswer: -174616125*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -1867*f + 11200. Determine i(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4*m + 140 = 0, -4*c + 2*m = m - 235. Let h be (-30)\/9*(-11 - 153\/45). What is the highest common divisor of c and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -116, -1, -1175 in decreasing order.\nAnswer: 0.5, -1, -116, -1175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(1872) + 0)*-6 - (sqrt(1872) + (sqrt(1872) - (-2 + sqrt(1872) + -3))))**2*-5 + 2).\nAnswer: -2293815 - 21000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/28 and 5\/2687496.\nAnswer: 2687496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 5 - -6) + 9 - 43?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -16*k**2 - k. Suppose -32*o = -34 + 2. What is h(o)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 657094345 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -30*h + 13. Suppose 5*q + 2*g = 224, 5*q - 66 = -g + 161. Calculate the remainder when p(-5) is divided by q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 362 - 390. Suppose 3*o + 2*q + 4 = 0, 0 = -5*o + 10*o - 5*q + 40. What is the smallest value in -1, o, 2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 403919 rounded to the nearest one thousand?\nAnswer: 404000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 729440 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: Sort 4, -3, -8, -65 in decreasing order.\nAnswer: 4, -3, -8, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 182 (b) -4 (c) 213 (d) 3\/4 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 5*s - 19. Let u be z(13). Suppose 4*m + 21 = u. What is the tens digit of m\/32*2*37?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 472, 571, 670?\nAnswer: 769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*k**3*m**3 + k**3*m**2*s - 2*k**2*m**2 - 15*k**2*m + 273*m**3*s**2 + 60*m**3 - 2*s**2 wrt s?\nAnswer: k**3*m**2 + 546*m**3*s - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42454 + -23680. Let g = y + -18773.39988. Let u = g + -0.6. What is u rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 7:54 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10498 or 15140?\nAnswer: 15140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 2:21 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*p + 35*p - 91*p - p**2.\nAnswer: -p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8940 = -119*d + 417*d for d.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 0 + 0*g**4 + 14*g**2 + 1\/70*g**7 + 0*g**5 + 1\/224*g**8 + 1\/80*g**6 + 0*g + 0*g**3. Solve f(s) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3170273 and 0.11399.\nAnswer: -3170272.88601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 739382 is divided by 242133.\nAnswer: 12983","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117) + (6*(sqrt(117) - (sqrt(117) + 4)))**2 - (sqrt(78)\/((sqrt(6) - (1*sqrt(6) - sqrt(6)))*-1))**2.\nAnswer: 3*sqrt(13) + 563","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + -3. Let t = j + 24. Suppose -4*c - 5*r = -3*c + t, c + 2 = -2*r. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 681, 1360, 2041, 2724?\nAnswer: 3409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 4:29 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fffh when four letters picked without replacement from fffffhhffhfhff?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -15. Which is bigger: r or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 914?\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*v + 1305 + 1683 = 0 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41811169 is divided by 492.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4\/205511?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 times -123683?\nAnswer: -86578.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 8 = -5*h, -4*c - 12 = -7*c - 3*h. Is 28 a factor of -53*(-9)\/(9\/c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 429.5617ml to litres.\nAnswer: 0.4295617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 860368 or -3?\nAnswer: 860368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -455*i. Let x(k) = -k. Calculate 21*x(h) - y(h).\nAnswer: 434*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 1, -3, -2 in decreasing order.\nAnswer: 1, -2, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = 65*t - 59*t. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1)\/2)\/(-19 - (-10799811)\/568412)?\nAnswer: 2, 13, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5164\/(-11) - 3 - (-5 + 9). Let b = h - -477. Is b < -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 40\/(-12))*57. Let t = -52 + n. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 29*n - 319. Let k be p(11). Suppose k = -15*a + 4932 + 3678. Calculate the highest common factor of 14 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*z = 42*z - 29920. Is z greater than -1868\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -781 + 869. Solve 99 = -11*y + d for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - 3 - (-4 + 6 - 4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 11:36 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/(-4))\/(((-936)\/32)\/(-39)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (25\/2)\/(-5)*(-5)\/(-25). Let o = -0.05 + -0.15. Which is the second smallest value? (a) 1\/6 (b) -2\/7 (c) z (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 953 and -4.\nAnswer: 949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -287*v + 272*v + 75. Put -2\/3, 3, v, 1\/9 in increasing order.\nAnswer: -2\/3, 1\/9, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m. Let u(l) = -874563*l + 6. What is f(u(k))?\nAnswer: -874563*k + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, u: 10, r: 2, x: 3, b: 1, k: 1}. What is prob of picking 1 l, 1 u, and 1 k?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 259 divide 56721?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47 - -93. Suppose 5*k - 90 = -2*x, -4*k - 5*x + 43 + q = 0. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = y - 7, 3*y - 4*x = x + 29. Determine r, given that 0 - 2\/5*r**2 + 0*r**y + 0*r + 2\/5*r**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 1136*x**3 + 2 + 1124*x**3 + 4 - 2293*x**3.\nAnswer: -33*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4\/3 + 1122*z**3 - 3362*z**2 + 10082*z\/3 - 1120.\nAnswer: -2*(z - 1680)*(z - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 220 = -2*j, -2*j + 3*d - d + 214 = 0. Is 26 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1760419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - w + 6. What are the prime factors of a(-4)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 3*d + 6*r - 7*r, 3*d - 3*r - 45 = 0. Solve -24 - 24 = d*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.19619206 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5334 = 4824*c - 4672*c + 2418 for c.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -102059 divided by 1991?\nAnswer: -102059\/1991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -589*s**5\/5 + 143*s - 212. What is the first derivative of p(n) wrt n?\nAnswer: -2356*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**2 + 43*v**3 - 3*v**2 + 196*v**3.\nAnswer: 239*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84140 = -2292*y + 131308 for y.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33.5 + 33.4. What is the third smallest value in 8, -0.5, r, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-2*(-5*(sqrt(7200) + 2*sqrt(7200)) + -1 + 2).\nAnswer: -4 + 3600*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 7:12 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 749914796 to the nearest integer?\nAnswer: 27385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-42)\/4*(-16)\/3. Let o = w + -36. Is o even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4 + 192\/3 + 3.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -0.16112?\nAnswer: -0.032224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 520681 to the nearest integer?\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/8*(-114)\/171\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t - 2*t - t + (1 - 1 + 2*t)*(-4 + 1 + 2))*(-64*t - 886 + 886)*(0*t - 2*t + 0*t) as u*t**2 + k*t + p*t**3 + b and give p.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-6))\/((-8)\/24). Let g(h) = -h. Let k(z) = 3*z**2 + 6*z. Give l*k(v) - 6*g(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**2 + 2*j. Let u = -5 - 4. Let n(h) = 13*h**2 + 8*h + 1. Give u*r(f) + 2*n(f).\nAnswer: -f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -9*j - 7*j + 12*j - 3*j. Let k(l) = l**2. Give k(i(q)).\nAnswer: 49*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 14*n**2 + 3*n - 26. Suppose 142 = -w + 2*w. Let h = w + -79. What is the remainder when h is divided by j(14)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46490 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7, -11, -15, -19, -23, -27?\n\"Answer: -4*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.007775 rounded to one decimal place?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -466, -462, -456, -448, -438?\nAnswer: -426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -39*p + 547. Calculate v(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c*i*s - 15367*c*s**3 - 3*c*s + 12654*i*s**3 with respect to i.\nAnswer: 3*c*s + 12654*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 47. Calculate r(0).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.129 * -0.82.\nAnswer: -0.92578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -88392 (base 10) to base 4\nAnswer: -111211020","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*v - 151 = 0, 5*g = -3*v + 164 + 27. Let l = -41 + g. Is 2\/7 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -53 + 0*z**5 - 3\/2*z**6 + 0*z**4 - z + 0*z**3 - 1\/2*z**2. Find the second derivative of g(p) wrt p.\nAnswer: -180*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*o + 274911 = -257414 + 560729 for o.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, -4, 5, -3 in descending order.\nAnswer: 5, 4, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 572 = 2*c - 858, u - 5*c - 385 = 0. Calculate the greatest common divisor of u and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 58. Let i = 12 + -7. Suppose h = i*h. Is 15 a factor of u(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286017799?\nAnswer: 197, 1451867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 113327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 4 - 14. Suppose -5*l = 4*z - 15, -5*z = 3*l - i*l - 3. Suppose -l*x = 2*x + 25. Let y(o) = -o**2 - 2*o + 6. Give y(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -0*h - 301. Let o(p) = -6*p**3 - 3*p**2 - 4*p - 2. Let b be o(-1). Suppose w - h = -2*t - 2*t, 365 = b*t + 5*w. Is t a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 37*h + 2148. Let f be l(-55). Is f < 1920\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(7) - sqrt(63)\/(sqrt(9) + 2*sqrt(9)))*-2)**2.\nAnswer: -8*sqrt(7)\/3 + 121\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x - 3*x + 744*x**3 + 7*x.\nAnswer: 744*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -2 + -1 - 2) + (129 - 121).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 4:58 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -27, 93, 313, 663, 1173, 1873?\nAnswer: 2793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 1 + 20*m**3 + 23*m**3 + m + 41*m**3 - 83*m**3. Let s(a) = 16*a**3 - 3*a - 7. What is -s(y) - 5*t(y)?\nAnswer: -21*y**3 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 19, 26, 31, 34, 35, 34, 31?\n\"Answer: -k**2 + 10*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*f - 1. Suppose -220*n = -219*n - 4. Suppose 61 - 49 = n*d. Solve 3 = d*q - z, -4*z + f = -q + 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 16*m - 8. Determine i(17).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -234, -603, -1140, -1845, -2718?\n\"Answer: -84*j**2 - 117*j - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -10157*m**2 - 5. Let o(v) = 4*v. Give w(o(n)).\nAnswer: -162512*n**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 2*l**2 - 2*l - 2. Suppose -p + 2*p = -2*v + 13, 4*v = 4*p + 8. Let x be s(p). Let i = x + 4. Solve -2*d - 8 = -i*q, d + 20 = -q - 4*d for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -7*l - 5. Let w be v(-10). Let j = -37 + w. 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 -333525 divided by -4447?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) - -2*sqrt(130))*5)\/(sqrt(10)*-1*3).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -3.5. Let u = 355.5 - 355. Let x = 11 + -6. Sort x, u, b.\nAnswer: b, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v + 12. Let m(a) = 6*a + 20. Let q(g) = 3*m(g) - 5*t(g). Let x(b) = -4304*b**2. Calculate q(x(u)).\nAnswer: 8608*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4859909820?\nAnswer: 2, 3, 5, 139, 64747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55106*m**6 - 66687*m**2.\nAnswer: -6612720*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of l**6\/120 - l**5\/60 + l**4\/24 + 37*l**3\/6 + l**2 - 2. Let t(o) be the second derivative of n(o). Is t(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -14) + -1 - (57 + -20 - 47).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 151893350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 44721204161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 21456, 85816, 193086, 343266, 536356?\n\"Answer: 21455*d**2 - 5*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10\/(-4))\/(-5)*8. Let b(l) = l + c*l + 2 + 0*l. Let a be b(4). What is the highest common factor of a and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171537 - 171357 = -12*f for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 1178.\nAnswer: -5\/1178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 8:42 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1157, 1\/3, -2 in decreasing order.\nAnswer: 1\/3, -2, -1157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.2 + -66.2. Let h = k + 57.00119. Round h to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (312 + 41439858\/(-132815))*5\/3?\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38 + 35*x**3 + 98 - 50 to d*x**2 + a*x + t*x**3 + c and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 774390.9ug in nanograms?\nAnswer: 774390900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/76*-3*658\/(-987).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -57*g*n**2*y - 44055*g*y + 4*n**2*y - 330*n**2 - 3*y + 3 wrt g.\nAnswer: -57*n**2*y - 44055*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5269*t - 100 + 100.\nAnswer: 5269*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 78720138 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: How many kilograms are there in fourty-one halves of a tonne?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/8)\/((-4)\/8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -720, -723, -726?\n\"Answer: -3*y - 717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of o**4\/4 + o**3\/3 + o**2\/2 - 2*o + 3. Let a(m) be the first derivative of v(m). Give a(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and 41495?\nAnswer: -829.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -15, 219 in ascending order.\nAnswer: -15, 2, 4, 219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 567533 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + -2)\/((-8)\/24). Let n be -4 + 6\/(-30) + (-4)\/5. Is n bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 176 + -170. Suppose -2*r = 5*i - f*r - 2351, 0 = 4*i - 2*r - 1882. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - (2 + 3))\/(1 + -2). Let s(k) = -82*k**3 + 2*k**2 - 13*k. Let r(m) = -m**3 - m + 1. Let c(u) = 4*r(u) - s(u). Is c(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 42*h**2 + 28*h - 261. What are the prime factors of g(-39)?\nAnswer: 2, 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/7 + 135\/(-350)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 8860?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 23 = 92. Suppose -5*h + 368 - b = 0. Round h to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.02 (b) 0.5 (c) 1 (d) -5.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 79 + 87 = 0. Suppose -v*z - 2*o = -1 - 9, -4 = 5*z - 3*o. What is the third biggest value in 1\/3, z, 2, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**5 - 40595*m**4 - 19*m**2 - 105*m?\nAnswer: -60*m**2 - 974280*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 1\/6*k**4 + 0*k**2 + 0 + 5\/6*k**3 - k. What is the second derivative of q(o) wrt o?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4681 + 4687. Solve 76 = -h*x + 52 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (x**2 - 3*x + 3*x)*(31 + 18 + 37)*(0 + x + 0) in the form k*x**2 + i*x**3 + s + q*x and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 81086 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n - 9. Let t be o(-5). Let r(i) = i**2 - 6 - 2*i + 0*i - 2*i**2. Let u(l) = -l**2 - 2*l - 5. Calculate t*r(c) + 5*u(c).\nAnswer: -c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4d68 - 434b?\nAnswer: -91b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 57834 divided by -81\nAnswer: -714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d + 13. Let n be q(-10). Factor -2*o + n*o**2 + 6*o + 3*o - 4*o.\nAnswer: 3*o*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 235 - 246 - (0 - -14)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -516222 by 1071.\nAnswer: -482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.306897 take away -0.581?\nAnswer: 0.274103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9105298 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-329)\/(-47)*-1*(-13)\/(2002\/(-60)).\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-21 + 23 - (-20302)\/(-1449)) + 12 and -19\/483?\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*i + 208 - 127 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-7)*(-13)\/(-104)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-3)\/3)\/((-27)\/(-3))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i. Let d be z(5). What is the units digit of d\/((-10)\/(-4)) + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r. Let m(l) = 36*l - 50118. What is m(k(n))?\nAnswer: 144*n - 50118","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -14, 4\/9, 0, -24.6, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5*q - 353 + 348 - q. What is l(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -129 and -3.167.\nAnswer: 408.543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9127.151 decades in years?\nAnswer: 91271.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2212 (base 5) to base 3.\nAnswer: 102101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 6*h**2 + 11*h + 8. Let s be o(-4). Let q be -4*(s\/(-10))\/((-12)\/15). Factor 12\/5*x + 3\/5*x**q + 12\/5.\nAnswer: 3*(x + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 877680 to the nearest integer?\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + (-108 + -27 + 39 - -27)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3757047 to the power of 1\/3, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 3 + 3)*(-r**4 + 250*r**2 + 5*r - 250*r**2) to the form h*r**4 + z*r**3 + l*r + s + i*r**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 245?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 53189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1*(9 - 2) + 1\/((-26782)\/(-187439)) and 13\/12.\nAnswer: 22956","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**5 - 70*i**4 - 1035*i**3.\nAnswer: 5*i**3*(i - 23)*(i + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*u - 59 = -3 + 105 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 260\/6 + 4\/6 and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 552469.2g to micrograms.\nAnswer: 552469200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 5:13 PM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 2\/7, 2831, 2\/3, -5 in ascending order.\nAnswer: -5, 2\/7, 0.4, 2\/3, 2831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p - 1 + 2 + 0 - p**2 + 2*p**3. Let b = -60 - -105. Let s = b + -44. What is r(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 + (-1260)\/160)*-8 - (-56)\/2\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 395965488?\nAnswer: 2, 3, 151, 54631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 67*w - 72*w = -33, 7*s = -5*w + 103 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 187 and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 + o**3 - o**2 + 7 - 7*o**2 + 11 as f*o**3 + k*o + a + h*o**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 337\/2, -43, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3523144 + -41016442525\/11642. Calculate the common denominator of b and -145\/18.\nAnswer: 104778","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22803 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 h when two letters picked without replacement from ehehhehh?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4 + sqrt(275)*3 + 5 - (sqrt(275) + (3*sqrt(275)*-2)**2 + (sqrt(275) + -2)**2*-4).\nAnswer: -8780 - 70*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*i**4 + 765*i**3 + i**2 - 57500*i wrt i.\nAnswer: 240*i**2 + 4590*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(-1 - 14\/4). Suppose -z = -5*k + 2*k. Suppose -12 = -k*s - 2*f, 4*s + 2*f - 20 = -2*f. Sort s, 5, -1 in increasing order.\nAnswer: -1, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and 0.5784.\nAnswer: 0.017352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -5, -7, 5, 2, 4, -107 in increasing order.\nAnswer: -107, -7, -5, 2, 4, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 310*p**3 - 7*p**2 - 6*p + 13. Let l(b) = -309*b**3 + 6*b**2 + 5*b - 11. What is -6*l(x) - 5*z(x)?\nAnswer: 304*x**3 - x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 650 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 11201.92857 to the nearest integer.\nAnswer: 11202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - b + 1. Let v = 257 - 381. Let y = v - -80. Let d(w) = 8*w**3 + 20*w**2 - 30*w + 24. Let x(u) = y*p(u) + 2*d(u). Factor x(o).\nAnswer: 4*(o - 1)*(o + 1)*(4*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -276*f**2 - 13247*f + 78. What is a(-48)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.9201013mm?\nAnswer: 0.0009201013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/3*168\/(-224). What is the nearest to -1 in 0.2, -69, -1, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(88)\/(sqrt(8) - (sqrt(8) + sqrt(8)*3)) + (-4*1*sqrt(99))\/sqrt(9).\nAnswer: -13*sqrt(11)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/6*(-3)\/(-2). Let l = y + 2. Let f be (2 + 0\/8)*(-1)\/3. What is the second smallest value in l, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -dda2b1?\nAnswer: dda2b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 31 + 77575*p + 16.\nAnswer: 77575*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136 divided by -17.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -17. Suppose 0 = -2*m + f*n - 2 - 3, 0 = 3*m - n - 12. Let y = m + 14. Calculate the highest common divisor of 38 and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, e: 4}. What is prob of sequence beb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2 + 39165*x - 156644 = 0. Calculate x.\nAnswer: 4, 39161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -808*i**3 - 299*i**3 - 6*i - 633*i**5 + 635*i**5 + 5*i**2 - 137*i**2 - 141*i**2 wrt i.\nAnswer: 120*i**2 - 6642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -4 + 5 - (0 + 7) - 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 87\/94 - 1483\/1598. Let y = i + 1620\/8789. Factor -2\/11*v**3 + 2\/11*v + 2\/11*v**2 - y.\nAnswer: -2*(v - 1)**2*(v + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243413063.3 rounded to the nearest one hundred thousand?\nAnswer: 243400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1734 + -1734.4. Let o = 3.5 - 3.4. Let x = 1 - 0. Which is the nearest to o? (a) -5 (b) x (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of 27*y**5\/20 + 127*y**4\/2 + 910*y**3 + 588*y**2 - 10688*y. Suppose k(i) = 0. Calculate i.\nAnswer: -14, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -26. Suppose o*y - 2960 = z - 4*z, -z - 2*y = -987. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 + -110049\nAnswer: -110049.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2128097.4 months?\nAnswer: 1773.4145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 220515455?\nAnswer: 220515450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/2, 2, -6\/133?\nAnswer: -6\/133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 16*y - 7. Let o be a(1). Let q be (-96)\/(-21) + o\/21. Solve -3*u + 3*l = -l + 2, q*u + 14 = -4*l for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 753869\/426440 + 2\/53305. Let y = c + -13\/8. Find the common denominator of 90\/8 + 2\/(-6)*3 and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (29 + -58) - (20 + 14).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 - -0.6. Let k = 915 + -912. Which is the nearest to -2\/7? (a) 18 (b) k (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13 - (6 - (3 - -7)). Solve -2*i = -y + 23 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (41 - 14)) + 9 - (-5 + 48)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 43*p**2 - 2. Let h(o) be the third derivative of -o**4\/6 - 495*o**2. Give h(k(w)).\nAnswer: -172*w**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -116 + 108. What is the tens digit of (7413\/28 - 0) + (-2)\/i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence stsd when four letters picked without replacement from {t: 3, d: 7, s: 2, x: 3}.\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 - 25. Suppose 4*s = -f - 25, -5*s + f - x = -f. Let w(g) = g**2 + 5*g - 7. What is w(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -361*j. Let a(n) = -5*n. Determine w(a(s)).\nAnswer: 1805*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of s**4\/12 + s**2\/2 - 67*s. Let f(t) = 4*t**2 + 8*t - 1. Let d(z) = -f(z) + 5*i(z). Give d(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/1701 and -52\/2019327.\nAnswer: 1144958409","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -58\/15509?\nAnswer: -58\/15509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 8. Let z(n) = -3*n**3 + 1. Let s be z(w). Let g(i) = -i**2 + 7*i + 1. Calculate the remainder when 36 is divided by g(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (319 - 2229 + 912 - 2582)*(-2*b**2 + 2 - 2).\nAnswer: 7160*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 4*g + 16. Let z be j(6). Sort 3, -2\/3, z, -7.3 in decreasing order.\nAnswer: z, 3, -2\/3, -7.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 243021?\nAnswer: -243022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 56*f**2 + 53*f + 260. What is the tens digit of o(55)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*y + u + 40, 5*u + 4 = 2*y. Suppose -11*i = -y*i. Suppose i + 30 = 6*v. Solve v*a + 3*l - 14 = 0, 4*a + 3 + 2 = 3*l for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*x**3 + 2*x**3 - 10*x**3)*(-2*x + 3*x + x) - 2*x**4 + 0*x**4 + 4*x**4 + (-3*x - x + 2*x)*(-3*x + 3*x - x**3).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 13, i: 3, e: 2, u: 1}. What is prob of sequence wiw?\nAnswer: 26\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -273442 + 16*g**2 + 273442.\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n + 0*n + 0*n - 2*n + 4*n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/101367903 and 139\/36.\nAnswer: 1216414836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 10:51 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2062049.\nAnswer: 11, 17, 11027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*x**6 - 7*x**5 - 29*x**3 - 185602*x**2?\nAnswer: -480*x**3 - 420*x**2 - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f + 3183 = 16*f. Let r = 1838 - f. List the prime factors of (r\/(-28))\/((-6)\/16).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -100011?\nAnswer: 11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3*m**2 + 0*m**2 - m**2)*(-m + 2*m + m - 2*m + 0*m + 3*m + (0*m - 2*m + 0*m)*(1 - 3 + 0) - 2*m + m + 13*m - m - 3*m + 2*m)*(4*m**2 + 6 - 6).\nAnswer: 136*m**5 - 340*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 374 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 2\/3*p**3 + 1\/6*p**2 - 23 - 4\/15*p**5 - 1\/3*p**4 - 2\/3*p + 1\/6*p**6. Factor l(b).\nAnswer: (b - 1)**3*(b + 1)*(3*b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 7:33 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (37 - 44)*(-13564)\/28?\nAnswer: 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34486 (base 9) in base 14?\nAnswer: -854d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 8*m + 8. Let u be k(-7). Let g be ((-22)\/(-33))\/(u\/12) + -2. What is the third derivative of -63 + 31 + 32 + 13*n**4 + g*n**2 wrt n?\nAnswer: 312*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -11 - -7) + 6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/12 and -79\/16319592.\nAnswer: 16319592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33017338*x**2 + 1136299*x + 3 wrt x?\nAnswer: -66034676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 13 = 3. What are the prime factors of (-725)\/(-5) - k*2\/2?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - 4 - 80\/(-20). Let h(o) = -4*o + 1. Let g(s) = -11*s + 3. Let x(t) = -2*g(t) + 7*h(t). Calculate x(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -23\/5 (b) 0.01 (c) 7 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8693174137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22180 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 11*p**2 - 38*p + 3. Let h(x) = -4*x**2 + 13*x - 1. Suppose 3*n + 102*s - 106*s = -20, 45 = -5*n - 5*s. Determine n*h(c) - 3*i(c).\nAnswer: -c**2 + 10*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0 - (-3 + 6 + 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29379.\nAnswer: 3, 7, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 474746181662 and 299?\nAnswer: 474746181363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4648, -4619, -4578, -4519, -4436, -4323?\n\"Answer: h**3 + 22*h - 4671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 649264.162 rounded to the nearest 1000?\nAnswer: 649000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -i**3\/6 - i**2\/2 + i. Let z(f) = -f**2 + 12*f + 2. Let l(q) = -6*x(q) - z(q). Determine l(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/57 and -53\/444?\nAnswer: 8436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -250*p + 260*p. Let q(i) = -4*i - 6. Let a(z) = -1. Calculate p*q(w) - 3*a(w).\nAnswer: -4*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*l - 33*l + 56. What is the third derivative of 30*q**2 - l*q**3 - 20*q**2 - 2*q**3 - 8 wrt q?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20.53 + -20.33. Let t = 2 + 0. Sort 5, t, -5, o in decreasing order.\nAnswer: 5, t, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -62946, -125970, -188992, -252012, -315030?\n\"Answer: m**2 - 63027*m + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30\/45*(46 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((207\/18)\/(-23))\/((-1)\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 445410 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 4*q**2 + 7*q - 6. Calculate l(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -289 in -8, 0.38, 7, 3\/4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 6*h**2 + 3)*(-5*h + 5*h + 2*h**3).\nAnswer: 12*h**5 + 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3\/4)*d)**(-4\/15))**(-3\/32)*(d*d\/(d\/(d**4\/d*d*d))*d*d\/(d\/d**(1\/10)))**(-33) assuming d is positive.\nAnswer: d**(-37487\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -184021 + 183983.2585. Let v = p + 0.0415. What is v rounded to zero decimal places?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7609584 divided by -3804792.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1534131 - 12230?\nAnswer: -1546361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**5\/80 + 43*u**4\/32 - 11*u**3\/2 - 405*u**2. Determine a so that n(a) = 0.\nAnswer: -44, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w - 17. Let y(x) = x - 3. Let u(a) = 6*m(a) - 34*y(a). Let n(i) = 4*i. Calculate -2*n(l) - 3*u(l).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/16 + -21\/176. What is the nearest to 1\/3 in c, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1670635 and 865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m**2 - 4*m - 4. Let u(a) = 28*a**2 + 35*a + 35. Let t(y) = -y**3 + 10*y**2 + 15*y - 1. Let k be t(8). Let h = -251 + k. Give h*u(i) - 35*j(i).\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 3*g - 2. Calculate the lowest common multiple of z(-2) and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 16) in base 9?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 700 and 45465875.\nAnswer: 181863500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 3*a - 12, 3*a - 4*a - 3*h = 12. Put a, 5, 3 in increasing order.\nAnswer: a, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -49 + 29. Suppose -6*u + u - 110 = 3*h, -3*u + 138 = -p*h. Calculate the common denominator of h and (34\/(-114))\/((-3)\/(-18)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 53*c**2 - 90*c - 3*c + 49*c**3 - 78 + 34*c**2 - 12 + 44*c**3 + 3*c**4 = 0.\nAnswer: -30, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -2*t - 39*a + 36*a, 0 = -2*a + 6 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 times 0.3?\nAnswer: -17.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 7:59 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/8 - 1*(-4)\/2. Let d be (-2 - w)\/(-4) - (-49)\/14. What is the first derivative of -29*h - 36 + 0*h + d*h + 0*h wrt h?\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*2\/4*-285990. Suppose o + 7 = -5*d, 11 + 2 = 3*o - 2*d. Suppose -t = m + 142997, -3*t - o*m = 2*m + h. What is t rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -431 greater than -430?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -112*d**2 + d. Let l(q) = 40259*q - 20145*q - 20127*q. Calculate l(h(k)).\nAnswer: 1456*k**2 - 13*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 16 = -5*b, -2*o + 16 = -5*o + b for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 2\/7, 4, 0.07, -0.03016, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -2 - (13 + (-11 - -2)) - 7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*i + 14*i - 42 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14706 is divided by 2872?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5996224104 to the power of 1\/3, to the nearest integer?\nAnswer: 1817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -89 + 91. Suppose v*y - 103 = 57. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 - 59. Let y(z) = -5*z - 6. Let g(u) = 2*u. Let v be g(-2). Calculate the smallest common multiple of y(v) and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (0 + 1)*(281 + (-2 - 3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 230*z - 6654. Let i be r(-26). Which is the second biggest value? (a) 3 (b) -1 (c) i (d) -0.318\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 2*d + 0*d)*(3*d**3 - d**4 + 7*d**3 - 12*d**3).\nAnswer: 2*d**5 + 4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -251*p**6\/6 + 73*p**3\/3 + p**2 + 400. Find the third derivative of u(x) wrt x.\nAnswer: -15060*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/18 and -4\/651.\nAnswer: 3906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -4551*j + 850. Let h be k(6). Which is bigger: h or -26455?\nAnswer: -26455","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -550*x - 7799 = 261*x - 102*x. Let a(n) = -21*n**2 + 2*n - 4. Let m(t) = 106*t**2 - 10*t + 21. Determine x*a(w) - 2*m(w).\nAnswer: 19*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 5*z - 6. Let r be c(-6). Solve -6*f + 3 + 15 = r for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2840 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**5 + 740*s**4 + 36005*s**3 + 550750*s**2 - 1212500*s + 625000 = 0. Calculate s.\nAnswer: -50, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/17 (b) 18 (c) 59872.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-689 - -923)*(4 + -3)*2\/(-6)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*f + 5*f + 0*f)*(-3*f + 3*f - 3*f) - 4*f**2 + 2*f**2 + 4*f**2)*(f - 3 + 3)*(1 + 84 + 179).\nAnswer: -1056*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 231, 250, 295, 378, 511, 706, 975, 1330?\nAnswer: 1783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 71 + -71.4. Let y = x - -0.400000087. What is y rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -215 + 245. Suppose -8*o - b = -m - 5*o, 5*o + 86 = 3*m. Let g = -593 + 835. Calculate the remainder when g is divided by m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.26 - -0.04. Let l = -2 - -2. Let d = -13 + 14. Which is the biggest value? (a) g (b) l (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1800 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -76*s + 48. Let d(t) = -16*t + 9. Let f(o) = 5*d(o) - x(o). Let p be (-1)\/2 + (-26)\/4. Determine f(p).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 11*y**3 - 141*y**2 + 27. Is u(15) a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 3:06 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -c + 790. Is 0 - c\/(-1 + 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**2 + 12697*t + 241604 = 0. What is t?\nAnswer: -19, 12716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -0.5, -0.0496, 4, -7, 5\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, z: 1, v: 6, w: 3, m: 2}. Give prob of sequence zv.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1264\/13 - -97. Sort w, -5, 1\/2 in decreasing order.\nAnswer: 1\/2, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a millennium?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -124451440 (base 6) in base 10?\nAnswer: -2464080","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.2 + -16.8. Let w = -18 - a. Which is smaller: w or 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -25*x. Let z(r) be the first derivative of -1\/6*r**3 + 0*r**2 - 24 + 21*r. Let h(p) be the first derivative of z(p). Determine h(v(d)).\nAnswer: 25*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1980 and 1008?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v - 5. Let b be m(-8). Let x(y) = -4*y**2 + 0*y**3 + 3*y + y**3 - 2*y**2 + 4 + 2*y**2. Is 4 a factor of x(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/2, 2\/1095, -5, 5?\nAnswer: 2\/1095","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-26)\/(-8) + (-1)\/4. Let f be 1\/(-2) + 534\/(-72). Let m = -29\/4 - f. Which is the smallest value? (a) m (b) x (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -1. Let s = 0.2 - f. Let w be (-62628)\/(-1836) + 1*-34. Which is the nearest to -1? (a) w (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -23. Suppose 6*g - g - o = 4*x, -2*x - 6 = 0. Solve g*v - 10 = 6*c - c, 4*c = -4*v + 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 212168330 to the nearest 100000.\nAnswer: 212200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 177.8982972961 - -0.1017146039. Let g = m + -178. What is g rounded to 6 dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -j**4\/24 + j**3\/6 + j**2. Let d(c) = -79 + 79 - 2*c**2 + c. Give d(l) - y(l).\nAnswer: -2*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-2))\/((-58)\/116). Suppose 5*v - 3*t - 16 = 0, -5*v - 2*t - m = -32. Let z(g) = -2*g + 4. Let i(a) = -2*a + 5. What is v*i(k) - 6*z(k)?\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 6 = -4*q, 5 + 1 = 2*q + m. Suppose 14*t - 11*t + h - q = 0, -2*h + 4 = -2*t. Factor -4\/5*k**2 - 81\/5*k**5 + 32\/5*k**3 - 9*k**4 + t + 0*k.\nAnswer: -k**2*(k + 1)*(9*k - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*f - 68 = 24, -4*f = -2*m + 92. Let k = m + -33. What are the prime factors of k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83429 + 7241 = -3628*u for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 1 + sqrt(2))*-6 + (sqrt(2) + 1 + sqrt(2) + -1)**2 + 5.\nAnswer: -12*sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**4\/4 + v. Let h(j) = 9*j**2. Calculate m(h(s)).\nAnswer: -243*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3)*(-6 + 132\/16)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(20\/9)*l**(25\/4))**31)**(-3) assuming l is positive.\nAnswer: l**(-9455\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 594601491 to the power of 1\/2, to the nearest integer?\nAnswer: 24384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i*t*u - 458657*i + 1154009*t*u + 3*u wrt t.\nAnswer: 2*i*u + 1154009*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -16, 3*m = 2*u + 8*m - 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.977 + -0.023. Let h = -0.7 + -0.1. Let g = h - -1.1. Which is the closest to -1\/3? (a) o (b) g (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 6:00 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -w + 9, -10 = 17*q - 12*q for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 y when three letters picked without replacement from {y: 4, e: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*z - 3 - 9 = 60 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/3 + (19 - 9) + -10. Sort v, -1, -21 in decreasing order.\nAnswer: v, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93946603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**2. Let t(c) = 3*c**2 - c - 464015. What is t(w(f))?\nAnswer: 12*f**4 - 2*f**2 - 464015","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 387*z**2 - 5*z + 5. Suppose 2*u + 11*h - 15*h = -16, -5*u - 15 = -5*h. Is j(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 7*g**2 + 3*g + 10. Let u(l) = 8*l**2 + 3*l + 11. Let y(b) = -5*u(b) + 6*z(b). What is the units digit of y(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 1 + 4. Let x be 6\/4*4\/(-3). Let l be (-6)\/(-45) + 323\/(-510). Which is the nearest to 0.2? (a) l (b) x (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4812290655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9547, 19107, 28673, 38245?\nAnswer: 47823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 q when four letters picked without replacement from {w: 3, q: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000564865 to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + -4 + 1)*-1. Suppose 4*t - 4*q - 113 + 5 = 0, 4*q = 12. Suppose 4*v + v - t = o. 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 67956\/(-14562) + (-202)\/(-6)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kbbpfbfbfkkffqbpff. What is prob of sequence pbkk?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((14\/32*4)\/7).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 14*t - 51. Calculate p(-4).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -604*g**4 + 152 wrt g?\nAnswer: -2416*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llskbbllblllzzlbbzb. What is prob of picking 1 l, 1 k, and 1 s?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 k when three letters picked without replacement from {k: 1, z: 3}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 0. Let s(q) = -q + 6*q - q - q. What are the prime factors of s(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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 the value of ((-1)\/8)\/(((-90)\/(-10))\/(-108))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6861960 is divided by 636?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.151 + 0.151. Let m be 1005\/20 + (-2)\/(-2). Let q = m - 51. Which is the third smallest value? (a) q (b) -1\/4 (c) r (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 138 or 329384?\nAnswer: 138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 11, 1.6, 0.1355, 0.09?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*v = 84 + 61 + 91 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cgzggcgohzonggz. Give prob of picking 1 h, 1 o, and 1 g.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19.4507 + 0.3507. Which is the biggest value? (a) -1\/3 (b) 0.4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -19.71?\nAnswer: 19.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-40))\/((-6)\/(-90))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*x - 34*x + 581. Solve 0 = 55*n - x*n + 56 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 - 3)*(52*u + 17*u**2 - 100*u + 49*u) to j*u + m + w*u**2 and give w.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 4*y**3 + 5*y**2 + 14*y - 21. Let o be l(-2). Suppose -36*f = -o*f + 12. Solve i = f + 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (345\/(-1380))\/(123\/12 + -1 - 3)?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 46, 88, 130, 172?\n\"Answer: 42*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(21 - (0 - -2) - 2). Let m be 24\/b*(-14)\/(-56). What is the nearest to -0.06 in m, 5, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 93*z**2 + 5028*z**4 + 81*z**3 - 6*z**5 - 5001*z**4 + 9*z**5 + 36*z.\nAnswer: 3*z*(z + 1)**2*(z + 3)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + (-3 - (-39 - 4)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166, -695, -1576, -2809, -4394, -6331, -8620?\nAnswer: -11261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(1 - 0))\/((-98)\/966). Is g bigger than -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j**2 + 6*j + 9. Suppose 5*s - o - 122 = 2*o, -98 = -4*s + 2*o. Suppose -2*k - 3*k = s. Is t(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2668 equal to 8002\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 58 = -68. Sort -3, 0, -1, d in decreasing order.\nAnswer: d, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451980469.\nAnswer: 251, 1800719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -3*q + 6*q + 214818719, -2*f = 3*q + 214818754. Let j = -132706248 - q. What is j rounded to the nearest one million?\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of i**4\/24 + 32*i**2. Let w(x) = 2*x + 2. Let b(m) = 3*u(m) - w(m). Let l(p) = p. Determine b(f) - 4*l(f).\nAnswer: -3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 104 - ((-1000 - -1049) + (0 - 32))\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 1093.\nAnswer: -1\/1093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2583019 to the nearest integer?\nAnswer: 1607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2861 + 22921\/8. What is the common denominator of -69\/2 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1059 - 1058. What is the second smallest value in -1, q, -251\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, 4, -2, 5 in decreasing order.\nAnswer: 44, 5, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4018\/505 - 36\/101. Which is smaller: t or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b + 10. Suppose 33*g + 3 = 34*g. Let n be l(g). Solve -2*r + 2*v + v + 12 = 0, 5*v = -r - n for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -37, 2, 77, 200, 383, 638, 977?\nAnswer: 1412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 0*z - 3*z)*(-2*z - z + 4*z)*(116*z**2 + 494 - 494).\nAnswer: -232*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36 - -34)\/(1\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 15197271\nAnswer: -91183626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -48 (base 16) to base 8\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3006 + -351700\/117. Which is bigger: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 9:06 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8393 + 8393.2. Let d = 4 - 4.1. Which is the closest to y? (a) d (b) -0.2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10928700 divided by 90?\nAnswer: 121430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 69*q - 1175. Calculate i(37).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18*41\/(-1476)*-62?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 4*h**2 - 7*h - 7. Let c(y) be the third derivative of -y**4\/12 - 11*y**3\/2 - 15*y**2. Let r be c(-14). Calculate v(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -225*g**2 - 241*g + 4. Let f(w) = 378*w**2 + 482*w - 7. What is -3*f(q) - 5*l(q)?\nAnswer: -9*q**2 - 241*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -80*j**3 + 35*j**2. Let x = -59 - -94. Let b(u) = -9*u**3 + 4*u**2. Determine x*b(r) - 4*n(r).\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*u - 7*u - 4*u)*(-3*u + 7*u + 4*u + (4*u + u - 6*u)*(-3 + 2 + 0) - 2*u + u + 3*u + 0*u + 0*u + u + 2 - 3*u - 2).\nAnswer: -477*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7724957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*d - 8*d - 8*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**4 - 152*f**3 - 1416*f**2 + 7552*f - 8192 = 0.\nAnswer: -64, -16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*((b*b**(1\/2)*b*b)\/b)\/b*b*b)**(-30))**(21\/5)\/((b*b*b**(-1))**(-26\/3)*(b*b*b**0)**49) assuming b is positive.\nAnswer: b**(-1969\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (173 + (87 - 245)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 259, 261, 263, 265, 267?\nAnswer: 269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 27\/51013?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 110 + -95. Suppose 0 = 4*s - 4*f - 208, -4*s + 0*f = f - 228. Calculate the remainder when s is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -207564 - -7056261\/34. Let o = -44\/17 + u. Calculate the common denominator of o and -23\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26218003?\nAnswer: 7, 43, 87103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xm when two letters picked without replacement from mmmmxmmm?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10 - 0)\/(-2)*1. Let z be (6\/l)\/(4\/(-10)). Suppose 2*v + r = -0 + 2, -3*v = -4*r - 25. Solve -z = -p + v*a + 2, 2*p = -2*a + 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 55*l**2 - 130*l - 1862. Is f(-71) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(162) + -1)**2 + -1.\nAnswer: -18*sqrt(2) + 157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -114 - -68. Let b = g + 46.0038. What is b rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 7*v**2 + 7*v - 3. Let a be c(6). Let u be ((-66)\/(-55))\/((-2)\/(-10)). Suppose -d = -u - a. Does 3 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0.1 (c) 1\/6 (d) -30 (e) -0.1 (f) 5 (g) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33.1 - 28.61. Let g = y - 0.49. Which is the second biggest value? (a) g (b) -42 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0*r - 49 = -5*r, 3*r = 5*z - 89. Calculate the common denominator of z and ((-55)\/40 - -2) + -3.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 3*w + 10 = -2*h, -w = -4*h + 25. Let q(m) = -2*m + 1. Let t be q(2). Put t, 2, h in descending order.\nAnswer: h, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*q**2 + 30*q**2 - 17*q**2 - 20*q**2.\nAnswer: -34*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*q = -5*q + 6*q + 297. Solve 51*n - q = 62*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 27*p**2 - 20*p + 5. Let j(m) = 2*m**2 + 2*m - 1. Determine -5*j(b) - t(b).\nAnswer: -37*b**2 + 10*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.7616 grams to micrograms.\nAnswer: 92761600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -1. Let u(q) = q**2 - 11*q + 13. Let f be u(10). Find the second derivative of -f*v**4 + g*v + 5*v**4 - v wrt v.\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 304176 and 12?\nAnswer: 304176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121290397.\nAnswer: 121290397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 4*d - 3. Let f be l(5). Suppose -5*v - 2*z + 4*z = -4, z = -f*v + 7. Suppose u = -4*t + v*t, -50 = -3*u + 4*t. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 18702272, -4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -189*m - 13768. What is h(-70)?\nAnswer: -538","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -65584984.\nAnswer: -1\/32792492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-4))\/((-36)\/(-96))*(-4)\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i - 1. Let k be y(1). Which is greater: -7\/3 or k?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 344 + -280. Suppose 67*u - i*u - 30 = 0. Solve 11*p + 2 = u*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5*t**3 - 4*t**2 + 6*t - 2. Calculate the remainder when 611 is divided by z(2).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36 (base 7) to base 13.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1328 (base 10) to base 2.\nAnswer: -10100110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 244 + -2195\/9. Let m(z) be the second derivative of -i*z**3 + z + 1\/18*z**4 - 1\/3*z**2 + 0 + 1\/30*z**5. Determine k so that m(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/25)\/(f**2*f)*f\/(f*f*f**(-2\/7)\/f*f)*f\/f**6)**46 assuming f is positive.\nAnswer: f**(-70794\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/((-225)\/(-10)))\/(1\/1)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9520 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70 and 1409730.\nAnswer: 1409730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 28*k**5 - 5400*k**4 + 314364*k**3 - 5174272*k**2 + 22799040*k + 33292800 = 0?\nAnswer: -8\/7, 12, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -189 - -190.044. Let x = -0.044 + i. Suppose -l - 4*q + 21 = 0, 3*l + q - 3 = 5. What is the closest to x in l, 0, -3\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and 24.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 6*f**2 + 9*f + 2. Let k be u(4). Calculate the greatest common factor of k and 81.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*o**3 - 8*o**3 + 2 + 1 - 1 - 2*o**2 as g*o**3 + c + j*o + d*o**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25 - -1220?\nAnswer: 1151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 5*u - 14 = 0. Let q = u + -6. Solve 0*r = -r - q for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -12*t**2 + 1. Let o(x) = -10*x**2 + x + 1. What is -j(n) - 3*o(n)?\nAnswer: 42*n**2 - 3*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**5\/20 - 15*o**4 + 1800*o**3 - 73*o**2. Factor y(f).\nAnswer: 3*(f - 60)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168989*y - 52 = 169002*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (0 - -6) - (1 - 9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -12. Let g(x) = x**3 + 12*x**2 - 15*x - 13. Let q be g(-13). Let f = 16 - q. Solve -4*t = -f*a - t - d, 4*a + 2*t = 20 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -0*a - a. Calculate the remainder when ((-24)\/(-10))\/(12\/a) is divided by 4\/10 + ((-92)\/(-5))\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v - 7*v - 2*v - 4*v - 8*v.\nAnswer: -19*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2896871222 and 9667.\nAnswer: 9667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2 + 162*t**2 - 9*t - 329*t**2 + 168*t**2. Suppose 5*s = 25, -s - 23 = -5*w + w. What is y(w)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15\/(-70))\/((-3)\/(-6)). What is the second smallest value in 0, 3, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.05 - -0.05. Let t = 208 - 207.99. Which is the closest to n? (a) -1\/8 (b) -1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2291, -18382, -62061, -147122, -287359, -496566, -788537?\n\"Answer: -2299*s**3 + 2*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.4 - 3.41. Let v = y + -0.99. Let p = 24 + -24.1. Which is the closest to 0.1? (a) p (b) -0.5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - x - 5*x + 4*x + 0*x + (-2*x - 4 + 4)*(4 - 3 + 0) + 58*x - x + 58*x - x + 0*x + 2*x + (0 + 1 + 1)*(2 - x - 2) - 2*x + 1 - 1 + 0 + x + 0.\nAnswer: 109*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 2 = 0, -i - i + 9 = -s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c + 3*d = -10*c - 111, -3*c + d = -82. What is the remainder when 186 is divided by c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*k - 4592 = 2858 for k.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30\/9 + 3\/(-1). Let m = 98 - 91. Let x(a) = a**2 + 2*a. Let l be x(-3). What is the closest to b in m, 2\/11, l?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3319029 - 867?\nAnswer: 3318162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 550 minutes after 11:11 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -3*p - 5, -13 = -4*z - 7*p + 2*p for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 549243785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**2 - a**3 - 5*a**3 - 4*a**2 + 7*a**2.\nAnswer: -6*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011101 (base 2) to base 9.\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/22 and 103\/918.\nAnswer: 10098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97616?\nAnswer: 2, 6101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 785876 is divided by 79?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 449936.1 rounded to the nearest one hundred?\nAnswer: 449900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 2*r + 6. Let z(o) = 2*o**2 + 2*o + 7. Calculate -4*g(j) + 3*z(j).\nAnswer: 2*j**2 - 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4197451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -69.99 and -7?\nAnswer: 489.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*p + 2. Calculate the remainder when (p\/15)\/(1\/(-65)) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3259 + -9375?\nAnswer: -6116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*o - 13 - o**5 - 2*o + 3 + 12*o**2 - 2*o**2 wrt o.\nAnswer: -20*o**3 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 421*g - 2147 = 10904 for g.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**4 - 10*k**3 + 33*k**2 - 40*k + 16 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -6\/2791811?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2643815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1429\/10 + -143. Is s at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19738 = -714*b + 31876 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -156 divided by 7?\nAnswer: -156\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and -13965?\nAnswer: 13965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 235917 = 5*s, 0 = 4*k + 3*s - s - 235910. Suppose 11428 - k = -5*a. Suppose -9*u + a = u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75138194, 75138196, 75138198?\nAnswer: 75138200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203059763.\nAnswer: 3797, 53479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -82*y**6 + 3*y - 51*y**6 - 3*y - 4*y**2 - 23 wrt y?\nAnswer: -15960*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 5*u - 10. Let x be m(-7). Suppose 4*j = 4*b + 68, -4*j - x*b = -39 + 11. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1401313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -94 + -1859?\nAnswer: -1953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -232084 divided by 1?\nAnswer: -232084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2847 is divided by 89?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6455 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 3:51 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c + 1. Suppose 20 = 4*r + 56. Let k = 5 + r. Let x = -2 - k. Let g(j) = -j - 2. Determine x*a(n) + g(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 217979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*4 - (4 + 1)\/5. Factor 0*q + 32\/5*q**4 - 14\/5*q**5 + 4\/5*q**2 + 0 - 22\/5*q**l.\nAnswer: -2*q**2*(q - 1)**2*(7*q - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-j**2 - j**3 + j**2)*(9 + 4*j - 9) + 3*j**4 + 0*j**4 - 4*j**4)*((3 - 3 + 1)*(3*j + 0*j - 4*j) - 2*j - 5*j + 5*j).\nAnswer: 15*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14308 and 98812.\nAnswer: 50492932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3*i - 2)*(-4*i - i + 3*i) - i**2 + i - i - i**2 + 7096 + 23*i - 7093 - i**2 to a*i**2 + v*i + j and give v.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12242, 13275, 14308, 15341?\nAnswer: 16374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/10 + 6\/10. Suppose -k + 3 = -a*k. Suppose 4*l = z + 4400, -2*l + k*z = 2*l - 4400. Round l to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1044 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5*a + 10. Let z(c) = -14*c + 29. Calculate 17*x(f) - 6*z(f).\nAnswer: -f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwwwwwwlwwb. What is prob of picking 1 l and 2 w?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-4))\/((-63)\/901791). Let g = -7151 + r. Find the common denominator of g and -115\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*(-2)\/(-12)*3850\/(-2750)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*v - 0, y - 13 = -4*v. Let n = -14.1 + 15. Let q = -4.9 + n. What is the closest to -2\/5 in -1\/4, q, y?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7415, -14813, -22201, -29579, -36947?\nAnswer: -44305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.368 - 3.378. Let c = x + 2. Let a = -1.0071 - c. Round a to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 612753.309s to weeks.\nAnswer: 1.0131503125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -438*m + 431*m - 21 = 0. Let y be 2*(1\/(-5) + 57\/60). Which is the second smallest value? (a) 0.4 (b) y (c) m (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y**2\/2 + 23*y\/2 - 12 = 0. Calculate y.\nAnswer: -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36251751 - 2?\nAnswer: 36251747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14 + 3\/(-6)*0. Suppose -25 = 4*b + f, 0*f = 2*b - 2*f. Let o be ((-28)\/b)\/((-6)\/(-165)). Calculate the highest common factor of o and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -57*x + 58*x. Suppose 0 = 5*z + 3*y - 14, 8 = x*y - 6*y. Solve 34*b - 33*b = z for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + -1 + (sqrt(637) - (0 + -2 + sqrt(637) + sqrt(637)) - (2*(sqrt(637) + 0) - sqrt(637))) + 5))**2.\nAnswer: -3136*sqrt(13) + 41552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 821538.7 litres in millilitres?\nAnswer: 821538700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62618114 and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.22 + 1.22. Let c = -1141\/5 + 228. Put -2, 0.4, c, u in increasing order.\nAnswer: u, -2, c, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13933\/(7 + 14\/7 + -8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19349*p**2 + 5*p + 19400*p**2 + p**3 + 1 + 2*p**3 - 2*p as a*p**2 + f + z*p**3 + m*p and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = 5*r - 11. Let l = -222\/5 - -2773\/70. Find the common denominator of l and 3\/r*(-292)\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-7\/5)\/q))\/(q**(8\/9)\/q) assuming q is positive.\nAnswer: q**(158\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 6*x**2 + 7. Let t be z(-6). Let b be (1 - (-6)\/(-4))*(t - 17). Suppose -40*q + b = -39*q. Calculate the remainder when 49 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68*b + 196*b + 130*b)*(-b**3 + b**3 + 2*b**3).\nAnswer: 788*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543363727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 32*l - 14. Let r be c(10). Let p = -211 + r. What are the prime factors of p?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13456*f - 5924 wrt f?\nAnswer: 13456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2016205 - 1854910903\/920. Let f = -3\/920 - i. Let q be (-1)\/2*2\/(-3). Which is the third biggest value? (a) q (b) -0.4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 632*d - 4 + 813*d + 4.\nAnswer: 1445*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 7*m + 252 = 0. Let g be 9\/m - (-1 - (-240)\/(-28)). Solve 25 - g = -5*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*d + 6, -l = 2*d - 2 - 1. Let n(j) = 4*j + 6*j - 2*j + d*j + 1. What is the units digit of n(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -501.0377 + 0.0377. Let q = 307 + h. Let m = 193.9903 + q. What is m rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**5\/60 + h**4\/6 - h**3 - 9*h**2. Is r(-7) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1858 + 2693. Does 21 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2600367 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 41 = -c, z + 2*z = -c - 23. Sort 11, 0, z in descending order.\nAnswer: 11, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -1365?\nAnswer: -1\/1365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 66\/686545 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 521*b**2*j**4 - 3*b**2*j**2 - 2*b**2*j + 3*b*j**5 + 7*b*j**2 + j**3 - 25 wrt j?\nAnswer: 12504*b**2*j + 180*b*j**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, y: 5, f: 2}. What is prob of sequence cccf?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -g**5\/60 - 3*g**4\/8 - 2*g**3\/3 + g**2 + 2. Let r(w) be the second derivative of s(w). Is r(-7) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 9 = 4*t - 0, -2*d = 2*t - 18. Suppose -4*b - 118 = -5*u, 2*u - d*b = 4*u - 34. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 14*l**2 + 3*l. Let w(v) = -17*v**2 - 3*v. Let r(i) = 21*i**2 + 4*i. Let j(n) = 4*r(n) + 5*w(n). Determine 3*j(u) - k(u).\nAnswer: -17*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.044, 5, -0.003544?\nAnswer: -0.003544","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.2 and 3027948?\nAnswer: 12717381.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59319583?\nAnswer: 251, 236333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -506, -125, 2 in increasing order.\nAnswer: -506, -125, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 95 - -38. What is the highest common divisor of z and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35164 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102 - -20020?\nAnswer: 21122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(24)\/((sqrt(288) + sqrt(8))*2) + 5 + -5 + sqrt(243))*1*-5)**2.\nAnswer: 30241875\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 171 = -16*z. Suppose 493 + 1172 = z*k. Is 22 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c - 2. Let w be x(-2). Let i(l) = 9*l + 2. Let v be i(w). Let t = 50 - v. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 3*p - 19*p + 14*p.\nAnswer: -8*p - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0401897064 + -0.04019. Round q to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1148710273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22253 - -3382491\/152. Which is greater: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 52?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -304834624*y**5 - 121508*y**2 - 876*y wrt y.\nAnswer: -18290077440*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -51*h - 27. Let l be d(-1). Solve 0 = -57*i + 63*i + l for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*u + 61 - 119 + 58.\nAnswer: -27*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 6 + 2. Find the second derivative of 4 + 4*a**b - 2*a - 4 wrt a.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.308523422 to 1 decimal place.\nAnswer: 30.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**5 + 24*v**4 - 60*v**3.\nAnswer: 3*v**3*(v - 2)*(v + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9378?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 250, 573, 1026, 1609?\nAnswer: 2322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 - 3*g**2 - g**2. Let u(j) = -2*j**2 - 2. Let m(k) = -2 + 2 - 3 + 4. Let d(o) = 2*m(o) + u(o). Give r(d(h)).\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100001110 + -10?\nAnswer: -101100010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*r + 7*r + 0 - 6 to p + g*r and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 8:51 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -6*(-274 - -2)*(-9)\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v - 14*v**2 + 13*v**2 - 5*v.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*q = -t + 6, 0 = 5*t + 2*q - 51. Let g = t + -5. Differentiate -g + 0 + 2 + d**4 with respect to d.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 4932868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) + sqrt(3328)*-1)\/(sqrt(20)\/(sqrt(5) + sqrt(5)*1)) + -1)*-6.\nAnswer: 6 + 84*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3 + sqrt(38)\/sqrt(2))*1.\nAnswer: -8 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooootoo. Give prob of picking 1 t and 1 o.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3519127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 3 (c) 4 (d) 1\/17 (e) -151 (f) -11.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-352)*(-1744)\/(-327).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1230960, -2461926, -3692892?\nAnswer: -4923858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/((-165)\/913) - (-3)\/12*4.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, f: 2, t: 4, z: 2, k: 5}. What is prob of picking 2 f and 1 t?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 3*a = 21, -6*k + 2*a = -4*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 615 and 1074200.\nAnswer: 3222600","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 4*h**2 - 2*h. Let g be j(-5). Let y = 9 + g. Let n be 4\/(-6)*y + 0. What is the highest common divisor of 4 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27655337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 10:41 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445 is divided by 219?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -9*l. Let p(n) = 109*n - 13. Calculate p(w(s)).\nAnswer: -981*s - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26569 and 163.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g, 2 + 7 = -2*w - w + g for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**2\/3 - 3700*r\/3 + 1711250\/3 = 0.\nAnswer: 925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9 + 3.9. Let a = 0.87 - 3.87. Sort u, a, 0, 5 in decreasing order.\nAnswer: 5, u, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 81, 30004\/3, -4, -5 in decreasing order.\nAnswer: 30004\/3, 81, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 22*m - 178. Calculate c(9).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 243 divide 4929012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1226, -4925, -11106, -19775, -30938?\nAnswer: -44601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z - 6 = -20*z. Suppose r + 6 = z*r. Solve 3*v**r + 4 - 3*v**3 - 2*v + 4*v - 4*v**2 - 2*v**3 = 0 for v.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1223 is divided by 382?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 - 44. Is (2 - -383) + (o - (2 + 0)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -436*a + 73*a**2 - 945*a - 146*a**2 - 816*a**2 wrt a?\nAnswer: -1778","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21766385*l**3 + 14*l - 315946 wrt l?\nAnswer: -130598310*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -798, 0, 3 in descending order.\nAnswer: 3, 2, 0, -798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/(-5)*(-59)\/(24426\/1035)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 l when three letters picked without replacement from {u: 3, v: 1, q: 2, p: 10, l: 3}.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 360 and 2609964?\nAnswer: 26099640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69 + -42. Let r be 1584\/w + (-2)\/(-6). Round r to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5981590 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-798)\/(-42)*((-8)\/(-2))\/((-304)\/24)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/252 and -17\/168?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 53*r + 1104 = 0, 1334*u - 4*r = 1335*u - 87 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -68 + 23. Is (-23385)\/p*3*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 895, 1780, 2653, 3514, 4363?\nAnswer: 5200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 11*r + 4. Let y(q) = 16*q**2 - 154*q + 52. Let b(a) = 28*o(a) - 2*y(a). Let k(u) = -11*u. Give b(k(n)).\nAnswer: -484*n**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-56)*-14)\/(-2*(-1)\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4956222987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -21*t**5\/5 + 12*t**4 - 4*t**3 + 26. Factor u(a).\nAnswer: -3*a**2*(a - 2)*(7*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(847) + sqrt(847)*-1)*-3 + 0)*-2 + ((sqrt(140) - sqrt(140)*-2)\/sqrt(5))\/(sqrt(28)\/(sqrt(112) - sqrt(7))))**2.\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-20) - (-4)\/(-10). Suppose f*n + 17 = -3*y + 5*n, 0 = -2*y + 2*n - 6. What are the prime factors of (y - 0)\/(5\/25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2892847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((1*sqrt(54)\/sqrt(3))\/(1*sqrt(96)) + 1) + 5.\nAnswer: 5*sqrt(3)\/4 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -17*v - 394 + 20*v**2 - 354 + 765. Let b(t) = 7*t**2 - 6*t + 6. Determine -17*b(a) + 6*d(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**3 + k**2 - 17*k**2 + 17*k**2 + 34 - 4*k**2 - 5*k + 2*k**2 in the form o*k + s + a*k**3 + z*k**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -10.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*h - 26*h - 23*h)*(3 - 1 + 0)*(-3*h**2 - 2*h**2 + 4*h**2).\nAnswer: 48*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1518498 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1096977 and 24?\nAnswer: 26327448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 13*m + 45. Let h be z(8). Let l = -23\/10 + 14\/5. Let i be (21\/(-56))\/(3\/(-2)). What is the closest to i in -5, h, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 4*r + 44, 0*r = -4*r - 5*k - 56. Let w = r - -5. Let h be (2 - 1) + w\/(-4). What is the highest common divisor of 22 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 172 = -4*n, 19 + 150 = 4*z - 5*n. Let d = -44 + z. Solve 4 = -2*y + d for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -24, 31, 116, 225, 352, 491, 636, 781?\n\"Answer: -a**3 + 21*a**2 - a - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1414 - 725*g + 1414 to j*g + d and give j.\nAnswer: -725","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 1\/75 (c) 682 (d) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*u - 66 = -141 - 1689 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*s - 4. Differentiate 0*k**2 + 1 - s*k**2 + 0 + 1 wrt k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u + 28. Let w(l) = 2*l - 32. Let i(k) = -23*k - 350. Let p be i(-15). Let q(o) = p*w(o) - 6*x(o). What is q(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -248805 + 0.2.\nAnswer: -248804.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 373975*k**2 - 373974*k**2 + 1053*k + 4034872 + 648024 - 1456*k - 3925*k = 0. Calculate k.\nAnswer: 2164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212 - 35 - 31 - 89 + 11*k.\nAnswer: 11*k + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -10136426?\nAnswer: 10136426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000075147786 rounded to seven decimal places?\nAnswer: 0.0000751","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (-216 - -233) + -25 + -1 + -60.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47885 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38310*l**3 + 19083*l**3 + 19258*l**3.\nAnswer: 31*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4*x = 30, -5*f + x - 24 = -x. Let i = 8 + f. What is the third derivative of 0 + 0 + 2*t**2 - i*t**4 + t**2 wrt t?\nAnswer: -48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l - g - 3, 2*g = 354*l - 357*l + 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2448) + -4)**2.\nAnswer: -96*sqrt(17) + 2464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - (0 - 1) - (6 + -1008) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -4. Let r = c + 1.8. Sort 3, -5, r in decreasing order.\nAnswer: 3, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102, 447, 1030, 1839, 2862, 4087?\nAnswer: 5502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h = -4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 84513133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (11 + 1)*(1 - 1\/3). Solve -3*z = z - l for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 22 = -2*p + 128, p - 153 = -3*g. Let b = 115 - g. Calculate the remainder when b is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 - 13*f + 4. Give m(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/22 and -17\/77?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of 75*j**5\/4 - 293*j**4\/6 - 1077*j**2. Find the second derivative of p(m) wrt m.\nAnswer: 2250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.3, 24 in ascending order.\nAnswer: -3, -0.3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1081300800.\nAnswer: 2, 3, 5, 47, 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 12*d**2 + 14*d + 14. Determine x(-11).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49297?\nAnswer: 49297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/98)\/(1\/(-133)*1)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 25 + -21 + 1*-1. Suppose -2*k - 611 = -3*l, m*l + 409 = 5*l - 3*k. List the prime factors of l.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 1:30 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)*-2)\/sqrt(4) + 5.\nAnswer: -4*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 2 = 4*j, 0*j + 8 = n - 5*j. Suppose 2*t - t = 0. Sort t, 5, n in increasing order.\nAnswer: n, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 z when two letters picked without replacement from qqqqbzqkdqf?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 2:13 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6600 or -48\/13?\nAnswer: -6600","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1261)\/78 - -16)*(-15)\/(-2).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a**5\/2 - 1463*a**4 + 1083266*a**3 - 19131732*a**2 + 76108176*a = 0. Calculate a.\nAnswer: 0, 6, 12, 1454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.2 to zero dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - y**2 + y. Let p(g) = -6*g**3 - 14*g**2 - 3*g - 130. Let l(r) = p(r) - 5*s(r). What is the least common multiple of 220 and l(-11)?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -96842*g**3 - g**2 + 1504*g - 84?\nAnswer: -581052*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(57)\/sqrt(3) + sqrt(2736) + -1)*5)**2.\nAnswer: -850*sqrt(19) + 137300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2331010223 (base 4) to base 2\nAnswer: -10111101000100101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/3)*l*l\/((l**(-1\/4)*l)\/l*l*l)*l*l*l*l*(l*l*l\/(l\/l**(-2\/5))*l)\/l**(-6) assuming l is positive.\nAnswer: l**(791\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -t**4\/12 + 3*t**3\/2 + t**2\/2 - 2*t. Suppose x + 83*k - 82*k = 2*x, 0 = -3*x - 4*k + 77. Give z(x).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 620233.\nAnswer: 620233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 349 + -345. Solve 4 = t*k + 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2*m. Let h = m - -2. Suppose -3*d = -h*d - 25. Solve 6*k - k + d = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -89, -125, -161?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of s**9\/28 + 19*s**7\/210 + s**5\/15 + 38*s**3 + 2602*s**2. Find the third derivative of t(d) wrt d.\nAnswer: 2160*d**3 + 456*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7660.\nAnswer: 2, 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((0 + (-1*sqrt(245)*2 + sqrt(245) - (0 + sqrt(245) + -2)))**2 + 4).\nAnswer: -3952 + 224*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.726 * -2.1.\nAnswer: -18.3246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x**3 + x**2 + 847*x - 4. Let b(w) = 11*w**3 - 4*w**2 - 2541*w + 14. Calculate -2*b(l) - 7*s(l).\nAnswer: -l**3 + l**2 - 847*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most as big as 216560?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 237132 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -78, -292, -652, -1164, -1834?\n\"Answer: -a**3 - 67*a**2 - 6*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*m + 369 = -51. Solve -4*i = 5*o + m, 0*o + o + 8 = 2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 27539*i. Let w(d) = -4*d**2. Determine k(w(n)).\nAnswer: -110156*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4199 and 103493?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8 - -5) + 7 + -2. Let a be (18\/(-30))\/(r\/(-10)). Solve y + q = 1, -a*q - q + 12 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a millimeter in micrometers?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1393\/258 + 10\/43. Let m be (-30)\/20*(-16)\/(-6). Find the common denominator of m\/(-12) - 21\/18 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 11:05 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 1 = -c - 2, 0 = -2*r - 3*c - 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of c**4\/24 + 3*c**2. Let f(m) = -2*m. Give f(x(l)).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -22*l**2. Let v(g) be the third derivative of -g**5\/15 - 12*g**2 - 2*g. Calculate v(y(m)).\nAnswer: -1936*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540 is divided by 141?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-44)\/7 - (-2)\/7. Let g = x + 14. Let d(a) = 20*a - 15 - g + 3. Let k(v) = 7*v - 7. Calculate -5*d(y) + 14*k(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 308253222?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7 - -3 - -8) + 1. Suppose 0 = -w*a + a. Suppose 44 = 4*y - a. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 230643647 + 7?\nAnswer: 230643655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -69\/121?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffwwwwwwwwwwwwfwww. Give prob of picking 1 w and 3 f.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from utwquotqqu. What is prob of picking 1 q and 1 o?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b - 362?\nAnswer: -356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 279670, -200?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20970 - 20970. What is the nearest to o in 1.7, -3\/2, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/8505 and 26\/945.\nAnswer: 8505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 12*v - 3. Let c = 2 - 11. Does 12 divide t(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 891195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 716*i**5 - 492*i + 3865. What is the derivative of h(q) wrt q?\nAnswer: 14320*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 3093840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*t*w**2 + 91*t*w - 11099616*t + 9118*w wrt w.\nAnswer: -8*t*w + 91*t + 9118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.5 + 7. Let p = -24 + 24.46. Let m = p - 0.06. What is the closest to -2\/7 in v, 1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f - 1. Let c(j) be the third derivative of -7*j**4\/24 + j**3 + 2*j**2 + 4316. Give -c(k) - 3*g(k).\nAnswer: 4*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/5)\/z*(z**(-6)\/z*z)\/z*z)\/(z\/(z\/z**1))**(18\/11) assuming z is positive.\nAnswer: z**(-486\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 7888\/68 - ((-48)\/20 - 4\/(-10))?\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**7\/14 + 5*m**5\/2 + 7*m**3\/6 - 5*m**2\/2 - 471*m. What is the second derivative of a(h) wrt h?\nAnswer: -60*h**3 + 300*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -3*y + 2*y - 2*i, y - 5*i - 27 = 0. What are the prime factors of y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 107172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -6622 to the nearest one hundred.\nAnswer: -6600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.58814mg to kilograms.\nAnswer: 0.00005558814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 103985.8 rounded to the nearest 1000?\nAnswer: 104000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27283958?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 470 and 16967?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*g + 187389 = 0, 5*v + 5*g = 6*v - 37464. Does 187 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 324*j**2 - 938*j - 8028. Give y(321).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -7*p - 15. Let h be o(-10). Suppose 5*d - 25 - h = 0. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*x = -24, -3*x = 2*x + 11*x. Let n(t) = t**2 - 3*t + 3. Let i be n(3). Suppose -3*o = 2*d, -4*o - 3*d = -4*d. Solve o = w - i*w - c for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zwwwwwqwwwwwzq. Give prob of sequence zwq.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(17) + sqrt(68)\/(sqrt(4)*-4) - (sqrt(17) - -2*sqrt(833))) + ((1 + -3*sqrt(17))*4)**2 + 1.\nAnswer: -441*sqrt(17)\/4 + 2460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -8, 14, -26?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - i**2 - i - 2. Let f be y(0). Let q = 6 + f. Suppose 0*d - 2*d = q*r - 202, -5*r = 3*d - 252. Is r a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27.047 + -27. Let t = f - -0.053. Which is smaller: t or -0.053?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 - 4004.4.\nAnswer: -4048.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12802 and 1591?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/11)*l**(-4\/9))**(-2\/17) assuming l is positive.\nAnswer: l**(124\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -32 - -233a?\nAnswer: 2308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 100, -7, 2, 144, -2.\nAnswer: -7, -2, 2, 100, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 + 143?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15303120?\nAnswer: 2, 3, 5, 7, 9109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -97296 (base 10) in base 7?\nAnswer: -553443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1507616.7 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - c + 7 = -10, -4*d + c + 15 = 0. Calculate the remainder when d is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w - 2. Let o(q) = q + 8. Let r be o(-4). Let g = r + 0. What is the lowest common multiple of g and h(-8)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -36271.71512993 and 75.\nAnswer: -36196.71512993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 8 = 2*j. Solve -3*s - j = -0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*((-3)\/(-12) - -2). Let j = b - -3. What is the common denominator of (-4)\/(-6) + j\/54 and 62\/5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 3 - 43. What is the nearest to -0.1 in 1, z, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -52*r**2 + 0 - 2\/3*r**3 - 2*r - 1\/6*r**4 + 1\/20*r**5. Determine d(4).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 3300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(12\/16) + 3. Let u be ((-2)\/(-6))\/(o\/42). What is the units digit of 24 - (3 + 0*u\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -89 - -125. Suppose 0 = 31*h - 34*h + 12. Suppose -5*l - h*d + 0*d = -49, -2*l + 20 = 2*d. Calculate the highest common divisor of m and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 25370?\nAnswer: 202960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 250297 (base 10) to base 12\nAnswer: 100a21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 619*j**2 - 2*j + 1963*j**2 + 3*j + 2*j**3 - 3*j**3.\nAnswer: -j**3 + 2582*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68 - -11. Let p = x - -59. Calculate the remainder when p is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 40 - 5*n + 21*n - 9.\nAnswer: 16*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 - 534a?\nAnswer: -5353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 16*y**2 - y. Suppose -39 = 3*r + 3*t, -3*r - r + t = 37. Let i be (-44)\/110 + (-14)\/r. Calculate n(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 608572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 n when two letters picked without replacement from {h: 1, e: 8, n: 4}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 420, 1683, 3750, 6591, 10176, 14475?\n\"Answer: -5*l**3 + 432*l**2 + 2*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 d when two letters picked without replacement from xwjjzcdwd.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -181813, -181811, -181809, -181807, -181805?\n\"Answer: 2*v - 181815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x**4\/5 - 1762*x**3\/5 + 7037*x**2\/5 - 8792*x\/5 + 3516\/5 = 0. What is x?\nAnswer: 1, 2, 1758","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 4*f**4 - 77*f**3\/3 - 1865*f + 5535. What is the first derivative of r(z) wrt z?\nAnswer: 48*z**2 - 154*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3362\/96 + (-1)\/(-2). Let l = a - 245\/6. Calculate the common denominator of l and 67\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3915.845 less than 40.26?\nAnswer: 3956.105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 281 + -239. What is the remainder when 83 is divided by p?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9676*s**3 - 311*s**2 + 5556616*s.\nAnswer: -58056*s - 622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.058, 2\/13, 1\/2, 0.2 in decreasing order.\nAnswer: 1\/2, 0.2, 2\/13, -0.058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 v when two letters picked without replacement from {d: 1, v: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (47\/12 - 4) + (-1)\/(-3). Which is the smallest value? (a) y (b) 1\/8 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 421*b + 1063 - 6625 = 112*b for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + 0.5. Let r = 44759\/2 - 22381. What is the third biggest value in -1, 4, m, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 498 by 16.\nAnswer: 249\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-6)*(-48)\/(-40)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 0.03532\nAnswer: 0.14128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1153\/6 <= -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12) + 3 + 4.\nAnswer: 2*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2347*g**2 - 187*g - 2 wrt g.\nAnswer: 4694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 86912 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.68 + 77.32. Let h = c + -168. Let r = h + 88.99999906. Round r to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206 (base 11) in base 5?\nAnswer: 1443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w - 4*w + 5*w)*(44*w**2 + 26*w**2 - 518*w**2) to the form z*w + v + i*w**3 + g*w**2 and give i.\nAnswer: 896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/95 in -2\/9, 3\/4, 0.4, -746, -0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*o + 1957 = 56*o. Calculate the remainder when 229 is divided by o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003465363 rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 10, i: 9}. What is prob of picking 3 h and 1 i?\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 - 17. What is the highest common divisor of c and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 230 - 230.1. What is the nearest to j in 3\/20, 0, 0.1, 3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -43, -80, -153, -274, -455?\nAnswer: -708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*r + 3*r, 4*s - 693 = -3*r. Suppose 3*x + 42 = -3*c + s, 0 = 2*x + 5*c - 82. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100 + -1110?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 670 = 2*r. Let c be 1 + r*1\/(-2). Suppose -3*q - 106 = -4*p - q, 2*p - c = -4*q. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*r = 49*r + 5*p + 14, 0 = 4*r + p - 8 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 23 - (2 + 0\/(-2 - -1)). Suppose 0 = i + 4*i + 3*w + 10, -4*i - g = 5*w. Suppose 0*n = -3*n - 9. Sort i, n, -5 in decreasing order.\nAnswer: i, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*s**2 + 4*s**5 - 5*s**2 + 2*s**5 + 0*s**2 wrt s?\nAnswer: 360*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/77)\/(25\/(-30)*1).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63838 + 49557 = -2059*j - 46677 - 530 for j.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 12 = q, 88*a + 8*q = -9*q + 23*q - 2*q + 276 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 198, 391, 650, 969, 1342, 1763?\nAnswer: 2226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -771380.547 and 3208.\nAnswer: -768172.547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 450*s**5\/11 - 2682330*s**4\/11 + 276073388*s**3\/11 - 469088568*s**2\/11 - 139839632*s\/11 - 9650688\/11 = 0. What is s?\nAnswer: -2\/15, 2, 103, 5856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(16\/5)*z)\/(z*(z*z**(-2))\/z) assuming z is positive.\nAnswer: z**(26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4}. What is prob of picking 2 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -2, 5 in increasing order.\nAnswer: -2, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -17. Let z(i) = 1062*i**3 - 3*i**2 - 2*i - 1. Let y be z(t). Let j = 4505 + y. What is j rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of 17*g**5\/60 - 3*g**2 + 194*g. Let z(c) = -5*c. Let n(f) = -9*f. Let q(k) = 6*n(k) - 11*z(k). What is w(q(y))?\nAnswer: 17*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-243 + -13)\/(-8) - 14?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 34 (b) -4 (c) -68 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8158097 (base 10) to base 5.\nAnswer: 4042024342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10020233311 (base 4) to base 10\nAnswer: 1084405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2134358.52 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = -11*q + 54, 5*q - 6*q = -29*g + 122 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 16) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {f: 9, p: 3, s: 7}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-3)*-10*(-6)\/2.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78141969?\nAnswer: 3, 1117, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00990408732 rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-80))\/((-8)\/(-5))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = 5*v + 3*c, 2*v - 4*c - 71 = -v. Let s be ((-98)\/(-42))\/((-13)\/(-975)). What is the highest common factor of s and v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101000000101100000011 (base 2) in base 4?\nAnswer: 31000230003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 11:29 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1101 (base 3) to base 15\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qoodjbjeqdej. Give prob of sequence dbjo.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1032, -2065, -3098, -4131, -5164, -6197?\n\"Answer: -1033*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + sqrt(2) - sqrt(2))*-5.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3070.7 - -3066.7. What is the closest to 28 in -0.2, -1\/2, -15, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*t + 238 = 41*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-288)\/240)\/((-528)\/(-160))\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 3:14 PM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0, -836 in ascending order.\nAnswer: -836, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 666?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/1820 and 13\/88620?\nAnswer: 1152060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 3*r - 29, r - 20 = -3*r + 2*m for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qulqrlc. What is prob of sequence qlcu?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 272 + -272. Suppose 4*w = -g*w + 44. What is the highest common divisor of w and 176?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 4*a**2 - 9*a + 8. Suppose -36 = -4*t + 2*u, -3*t + 4*u = -4*t. Let w be y(t). Is 2 + -4 + w\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -360.742238265 and 106.\nAnswer: -254.742238265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -59*-3.0449\nAnswer: 179.6491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 12*n + 117. Let l(w) = -w**3 - 17*w**2 - 2*w - 28. Let u be l(-17). Let q be ((-69)\/n - 5)*u. Which is smaller: q or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/119 - -71\/119. Let n = 5 + -5.4. Sort v, n, 0.1.\nAnswer: n, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 divided by 20183?\nAnswer: 76\/20183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12422 + 12446. Solve 0 = 10*m - s*m - 56 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (8 + 2)) + 2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by ((-11480)\/(-65))\/4 + (-10)\/65.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/69474 and -143\/4168440.\nAnswer: 4168440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -115, -110, -93, -58, 1, 90, 215?\n\"Answer: y**3 - 2*y - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 3*o - 8*o = 15, 8*o = -24 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -57*s**5 - 6549*s**4 - 15384*s**3 + 346428*s**2 - 36288*s = 0.\nAnswer: -112, -9, 0, 2\/19, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 s when two letters picked without replacement from {d: 1, s: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 7 - 3. Let p(b) = -5*b - 10*b - z*b - 1 + 16*b - b**2. Let i(g) = g**3 + 2*g**2 + 2*g + 3. Let r(n) = -i(n) - 2*p(n). Determine r(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10495 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 - 44.24. Let q = -0.96 + h. Which is bigger: q or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 117 in -20, 3.1, -0.4, 0, 5, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -646*l + 12. Let v be t(9). Let f be (1 - 0) + v\/3. Let k = f - -7777\/4. Find the common denominator of -17 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -1. Let g = i + 11. Suppose 4*c - 7 = g. Solve 0*b - 12 = 4*q - c*b, -2*b = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 12:43 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 0.4 (b) 0.6 (c) 0 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 + 47. Let j be (-1)\/(-1)*(1 - y). Let u = j + 19. Does 2 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2838 - 2761 = -3*x + 2*z, 125 = 5*x + 3*z for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -t**5\/20 + t**4\/2 - 2*t**3\/3 - t**2 - t - 1. Let c(b) be the first derivative of y(b). What is the units digit of c(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*b - 116 = -254. Let n(m) = -m**2 - 3*m + 1. Let u be n(-6). Let l = 28 + u. What is the smallest common multiple of b and l?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 471719881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.18 - 4172016.85484.\nAnswer: -4172016.67484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 5:20 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -17, -38, -86 in ascending order.\nAnswer: -86, -38, -17, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -14\/9 (c) 860 (d) 346\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2065\/10 - -2) + 3\/(-6). Suppose -5*s = 3*u - p, 5*s - 143 = -4*u + 141. Factor -12*q - u + 35 + 41 + 4*q**2.\nAnswer: 4*q*(q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-6) - (-32)\/(-12). Let r = 8 + k. Let c = r + -3. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4157 = 362*d + 899 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*g - 15*g - 3*g - 14*g.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/(-154) + (-4)\/(-14). What is the third smallest value in i, 0.2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6285121 is divided by 1043.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -6434?\nAnswer: 11\/6434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 + 15*x + 13. Let w(j) = j**2 + 7*j + 6. Let l(n) = 3*b(n) - 7*w(n). Determine l(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-18)*(-8616)\/(-78980)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(2\/3))**(-3\/29)\/((m**(-8\/7)*m)\/m*m*m\/(m\/((m*m**(-6)*m)\/m))) assuming m is positive.\nAnswer: m**(1009\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of 2*i**5\/45 - 7*i**4\/36 - 2*i**3\/9 + 7*i**2 - 3*i. Let o(j) = 0. Calculate j.\nAnswer: -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.27 + 0.17. Let p = -0.2 + 0.1. Let n = -8.2 - -8. What is the nearest to p in -1, n, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/2766370 and -34\/9129021?\nAnswer: 91290210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 5*l - 7. Let k be v(-4). Suppose 4*w = 287 + k. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 6 = 4*u. Let w = 25 - 54. Let v = w - -33. Solve -3*g = -3*k - 9, -u*k = v*g - 4*k for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 9 = 0, 3*i - 1 = 5*v - 2. Do v and 2\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 7*o - 13, 40527*o = 40525*o - 4*j + 68 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 + 580dd?\nAnswer: 58107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of s**4\/12 - s**3\/6 - s**2 - 3*s. Let o(h) = h**3 - 9*h**2 + 8*h - 3. Let k be o(8). Determine q(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of m**6\/30 - 8*m**5\/25 - 887*m**4\/20 - 406*m**3\/15 + 23030*m**2 + 343000*m + 1496. Factor g(w).\nAnswer: (w - 25)**2*(w + 14)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -219506, -439019, -658538, -878063, -1097594, -1317131, -1536674?\n\"Answer: -3*g**2 - 219504*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -67383 * 459\nAnswer: -30928797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(539) + (sqrt(539) - (-1 + sqrt(539)))**2 - (sqrt(11) - sqrt(33)\/sqrt(3)*-2)**2)*-2.\nAnswer: -14*sqrt(11) + 198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*s = 168. What are the prime factors of (s\/(-49))\/(1\/(-7))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2550355 + 5?\nAnswer: 2550363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39197 + -14284. What is the ten thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 64*g**2 + 33*g - 6674. Give r(-66).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2842, -19137, -63346, -149425, -291330?\n\"Answer: -2326*s**3 - s**2 - 10*s - 505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -2 (c) 28.9 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-92)\/(-322) - (-33)\/7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -465.401488 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 402418 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 3\/10 (b) 2 (c) 1.4 (d) 2\/139 (e) -3 (f) -1\/8 (g) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5828.405 millilitres in litres?\nAnswer: 5.828405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 642448 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/6*16\/1. Let w(o) = -o + 10. Let f be w(j). Solve -2*m - 2*m + 5*h = 12, 3*h - 16 = -f*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1906 - -1910. What is the second biggest value in -18, -0.1, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.708 + 0.092. Let x = -1.1 - -0.1. Let w = x + o. Which is the smallest value? (a) -3 (b) w (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 117*h**2 - 287*h - 93295. Determine o(-121).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11467 = -451*o + 710. Solve -o = -226*c + 253*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 26*k + 94. Let x be d(-14). Let n = x - -358. Calculate the smallest common multiple of n and 72.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 24809646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67527 = -3930952*s + 3931501*s for s.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8692173689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k\/(k\/k**(-1))*k)*k)*k*k**2*k**(-2\/19)*k**5)**(-28))**(-1\/47) assuming k is positive.\nAnswer: k**(3668\/893)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -318.836 rounded to the nearest ten?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 15\/78973?\nAnswer: 15\/78973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) -0.19 (b) 1 (c) 0.5 (d) -124\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 595, 1181, 1759, 2329?\nAnswer: 2891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225233059.\nAnswer: 2897, 77747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 2*t + a, 16 = -4*t + t - 5*a. Let c be 0 + 1 - ((-21)\/t)\/(-1). Solve 0 = -c*x + 6*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2261*c**2 + 2261*c**2 - 144*c**3 + (-3 + 3 - c)*(-5*c**2 + 2*c**2 + c**2).\nAnswer: -142*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -415395 (base 12) in base 4?\nAnswer: -3322103201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i + 3 - 34 = -3*k + 32, 7*i = 4*k - 0*k + 5*i - 48 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p + 380 = 14*p - 6*p for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6106340607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -247449808*k**4 - 290103361*k**2.\nAnswer: -5938795392*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3\/(i*i\/i**(-20)*i))\/(i**3\/i**(-2\/35)) assuming i is positive.\nAnswer: i**(-807\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l**2 + 0*l**2 + l**2)*(-1 - l + 1) + (1 - l - 1)*(-6*l**2 - 34*l - 11238 + 11238) in the form t*l + j + a*l**3 + z*l**2 and give z.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 132795067447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5*v**2 + 5*v**2 + 3*v - v**2 - 2. Let r be f(3). Let j be (-12)\/(-21)*r\/4. Which is bigger: 0.4 or j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 43741071?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) + 1 + 5 + (0 + sqrt(11) - sqrt(11)) + sqrt(11) - -1*(sqrt(539) - -2*sqrt(539)))*-5)**2.\nAnswer: 7200*sqrt(11) + 159300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 57536? (a) 5 (b) -2\/3 (c) -6\/7 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -17384\/3, 66?\nAnswer: -17384\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 71\/4 + (-2)\/(-8). Let o(x) be the first derivative of -x**4\/4 + 6*x**3 + 11*x**2\/2 - 10*x + 1984. List the prime factors of o(k).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p. Let m be 16\/((-56)\/(-7)) + 8\/(-6). Let s(t) be the first derivative of 0*t + m*t**3 + 3 + 0*t**2. What is c(s(i))?\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 154 - 87. Let j = -61 + b. Suppose -2*s + 9 = 3*r - 0*s, -3*s = -r + 3. Solve -r*w + 15 = -j*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100\/250*(-2060)\/(-2).\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2258)\/22 + 10282\/583 + -18.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/9)*(f\/f**1)\/f)**14)**(2\/57) assuming f is positive.\nAnswer: f**(-196\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 2202?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -5 (c) 3\/5 (d) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a**2 - 23*a**2 - 17*a**2 as v + x*a + b*a**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 3:59 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 3*k**6\/5 + 8*k**3\/3 + 8*k. What is the second derivative of w(l) wrt l?\nAnswer: 216*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 60*q**2 + 217*q + 1762. Determine v(-63).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-2 - -1 - 125) + (-1310 - -1329).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-46640)\/33)\/(-10))\/((-2)\/(-3)). Suppose z*n = 217*n - 120. Which is the nearest to 0.1? (a) n (b) 0.1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/16*-68 - 12\/(4 + -2).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 5:01 AM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 455 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 s when three letters picked without replacement from sllllslllsll?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -61 - 12*a + 13\/2*a**2 - 1\/3*a**3. What is h(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -367.771 - -368. Let g = -108.229 + a. Let i = 108.47 + g. What is i rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -562*g - 83 + 150 + 16*g - 67 - 217*g.\nAnswer: -763*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*1 - (1 + -5). Let v be 2\/z + 392\/21. Does 19 divide (3 - (-3 - v))\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(243) + sqrt(192) + -1)**2 + -3.\nAnswer: 38*sqrt(3) + 1081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5383178, 5383207, 5383286, 5383439, 5383690, 5384063, 5384582, 5385271?\nAnswer: 5386154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 13*p**2 + p. Let h(v) = -6*v**3 - 3*v**2 + 2*v. Let w be h(2). Calculate the smallest common multiple of c(1) and w\/(-10) + (-2)\/(-5).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) -2\/5 (b) -228 (c) -0.448\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -45*p**2 + 474*p + 206. Determine g(7).\nAnswer: 1319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/3224 and -7\/806.\nAnswer: 3224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 7113, 2158, 3, 4 in ascending order.\nAnswer: 3, 4, 2158, 7113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v**3 - 27*v**2 - 3*v - 75. What is the units digit of k(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 3*r**2\/5 + 213804*r\/5 + 427596\/5 = 0.\nAnswer: -71266, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -10\/23 (c) 3\/8 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 497*n - 91474. What is f(184)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 563 >= 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1*4)\/((-1)\/(-4)). Let a = 95146 + -95143. Which is greater: g or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 987051 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 25*f**2 + 4*f - 645. Let w be r(24). Let v = -2670 + 8087\/3. Which is smaller: v or w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 39 (c) 2\/7 (d) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1025, 2050, 3091, 4154, 5245, 6370, 7535?\n\"Answer: k**3 + 2*k**2 + 1012*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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 d(g) = 6*g**2 - 33*g - 10. Let h(j) = -3*j**2 + 15*j + 5. Calculate 3*d(f) + 7*h(f).\nAnswer: -3*f**2 + 6*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 9729467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/100 and -3\/572.\nAnswer: 14300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -256, -231, -172, -61, 120, 389?\n\"Answer: 3*a**3 - a**2 + 7*a - 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2. Suppose 3*t - 2*t = 0. Let x(w) = 0 - w + t. Give x(s(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/3 - 7\/(-1). Is u + (-2 - -116) + -3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 26*z**2 + 21*z + 229. Determine n(27).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 5 - (0 - -5) - 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 3:21 AM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -219\/2 - -107. Let r = 15 - 19. Let j = r + 4.4. What is the third biggest value in k, 0.3, j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 16 + 17)*(0*i**2 + 5*i**2 - 3*i**2)*(0*i**3 + 2*i**3 + 0*i**3).\nAnswer: -56*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 to the power of 1\/10, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 10*g**2 + g - 1. Let u be c(1). Suppose 0 = 7*v - u*v + 393. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -3. What are the prime factors of (-5)\/10 + (-41)\/l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 354 by -1.\nAnswer: -354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 419995281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 14, b: 4}. What is prob of picking 2 b and 2 k?\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34999444 by -2.\nAnswer: 17499722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 34513*i**3 + 5*i**4 - 34505*i**3 + 4*i**4 - i**4 to x*i**4 + q + l*i**3 + s*i**2 + p*i and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -989*r + 22. Let p be d(-4). Suppose p = -0*s + 6*s. Suppose 4*i - 2*j = 484, 5*i - j = s - 55. List the prime factors of i.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -819*c + 2491*c + 65208 for c.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 26 - 2. Suppose -2*a = c*a - 16. Solve 0*b + 2*b = 4, 0 = -4*y - a*b + 12 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2694.\nAnswer: 2, 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 38375 - -1?\nAnswer: 38376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*i + 10 + 6 = 0, 15 = 3*i. Suppose 84 = 4*f - 2*k, 107 = 5*f - 3*k - 0*k. Let a = f + u. Solve 2*h + 2*x + 3*x = -1, -3*h = -4*x - a for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1\/4, -4, 0.05, -0.065, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 a factor of 995979?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (4 - (2 + -2 - -2)) - 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -838237 (base 9) in base 11?\nAnswer: -310261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/55 - -43\/220. Let x(c) be the second derivative of 0*c**3 + k*c**4 - 1\/20*c**5 + 4*c + 0 - 2*c**2. Factor x(q).\nAnswer: -(q - 2)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 326588.6 decades?\nAnswer: 3265.886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -5*x**3 - 8*x - 15. Let h(o) = o**3 + 3*o + 5. Calculate 8*h(j) + 3*w(j).\nAnswer: -7*j**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-201)\/(-99) + 15\/(-9). What is the third smallest value in 0.2, g, 2\/17, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2. Let u(o) = -77*o**2 - 147*o + 9. Let v(d) = -123*d**2 - 221*d + 14. Let z(c) = 8*u(c) - 5*v(c). What is z(y(h))?\nAnswer: -4*h**4 - 142*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 563*((-44)\/16 + 3)*4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -141910628.4973 + 141934985. Let n = 24421.5026901 - p. Let u = -65 + n. Round u to six decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -6) + 12 + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1804 - 0.102. Let k = 35.94938 - -1.02902. Let x = k - m. What is x rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-24)\/21)\/((-12848)\/6132))\/((-6)\/(-4))\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -8*(-5)\/(-140)*-2. Let r be (-174)\/21 - (-288)\/36. Which is the nearest to -2\/5? (a) 1 (b) g (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34785, -139072, -312875, -556188, -869005, -1251320?\nAnswer: -1703127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1\/3 (b) 3 (c) 1\/311 (d) -28 (e) -116\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 8767286.1 milliseconds?\nAnswer: 0.10147321875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -1\/48*g**4 + 0*g**2 - 1\/24*g**3 + 0 - 2*g. Solve l(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 3*f - 264, r + 7*f = 3*f + 98. Suppose 0 = -0*i - 5*i - r. Let w = 1301 - 1301. Is i not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/2 - 1391*l**3\/2 - 561418*l**2.\nAnswer: l**2*(l - 1963)*(l + 572)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppe when three letters picked without replacement from peebppps.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66200812 and 16.\nAnswer: 264803248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1812422, 1812549, 1812676?\n\"Answer: 127*l + 1812295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5238*h**5 + 12670*h**4 - 608*h**2 + 3708*h wrt h.\nAnswer: -314280*h**2 + 304080*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1191879)\/(-38369) - 31 - 2\/17.\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 12, 0, -28, -78, -156, -268?\nAnswer: -420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g + 11112. Let z(w) = -w. What is z(u(q))?\nAnswer: -2*q - 11112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -403\/2703?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254263.\nAnswer: 251, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 23099259 to the power of 1\/2, to the nearest integer?\nAnswer: 4806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.00049689 rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-152)\/(-16) + -17)*(2 - 0). Which is the nearest to y? (a) 8 (b) -3\/5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - -8a81?\nAnswer: 8a88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-105)\/(-40) + -5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**4 + c**4 + 0*c**4)*(15 - 2 - 8) - 10*c**4 + 5*c + 46*c**2 - 46*c**2.\nAnswer: -5*c**4 + 5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 7*s**4\/6 - 10*s**3\/9 - 16*s**2\/3 - 8*s\/3 - 1. Factor j(k).\nAnswer: 2*(k - 2)*(k + 1)*(7*k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 11 = 10. Solve 3*x = -y - k, 2*y + 0*y = x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-441)\/98*(4 + 0).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 16*d**2 - 8*d + 122. Calculate j(16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + (5 + -2 - -2). Suppose -2*w - 22170 = n*w. Is 2\/(-11) - w\/66 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/30*1450\/87)\/(18 - 2240\/126).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -81 - -183. What is the lowest common multiple of l and 12?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*l - 4*t - 56, -3*l - 134 = -5*t. Let g = l + 48. Suppose g = -4*y + 50 + 82. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**5*t*t\/(t**(2\/23)\/t))\/(t**(2\/7))**(1\/31)*(t*t*t**(-4\/7)*t*t\/((t*t\/t**(4\/3))\/t*t*t))\/(t**(-4\/5)\/t*t**(-3)) assuming t is positive.\nAnswer: t**(154711\/10695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*v**2 + 27*v**2 - 399*v + 30*v**2 - 64*v**2 in the form f + w*v**2 + b*v and give b.\nAnswer: -399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -199 - -198.5. Which is the fourth biggest value? (a) o (b) 0.3 (c) 2\/11 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 n when two letters picked without replacement from {n: 6, m: 7}.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -20 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 105491012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 70392?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j = 77 + 21. Let m = 50 - 50.2. Which is the nearest to j? (a) m (b) -5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*f + 1 - 28 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*v + 29*v = 0. Let z(h) = -h**2 + h + 4. Let x be z(v). Suppose 0*j = x*j - 40. Calculate the lowest common multiple of j and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 a factor of 25585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 126.7163 and 6.\nAnswer: 760.2978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5920528 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + 2.7. Let q = k + -3.14. Round q to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4a + -112a8?\nAnswer: -1125a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1246771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 45*r**4 - 20*r**5 - 302*r**3 + 50*r**4 + 227*r**3 = 0.\nAnswer: 0, 1, 15\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-81)\/39)\/(82\/(-533)))\/((-1)\/2)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 458121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-8) + (-2)\/(-4) + 1. Put t, 4, -7 in increasing order.\nAnswer: -7, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 383844 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*v - 2*s = -106*v - 6, -5*v = -s + 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -1485*v - 27677. Let o be a(0). Which is smaller: o or -27676?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -5.68. Let y = q - 0.3228. What is y rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 11*o**2 + 30*o + 66. Let y be l(-13). Solve 7*t + 35 = y*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 41492*c + 746826. Calculate b(-18).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2856\/(-374))\/((-434)\/(-44) - 10)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x - 2. What is h(-12)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 789335 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-2))\/(155\/20 + -7). Let z(x) = -65*x + 25. Let g(v) = 8*v - 3. Let j(b) = -25*g(b) - 3*z(b). Give j(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-10545)\/2*(-12)\/(-54)*-3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 p when two letters picked without replacement from wzzdipwdpwdwwd.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10235825, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1958 and 2848.\nAnswer: 31328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5596078 to the power of 1\/3, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -4, -287 in descending order.\nAnswer: 3, -2, -4, -287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6774 - 6802.987. Let z = w + 29. Round z to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 7*x**2 + 2*x - 33. Let q be v(6). Suppose -9*c + 14*c - q = 0. Factor 2\/7*g**c - 2\/7*g - 4\/7*g**2 + 4\/7.\nAnswer: 2*(g - 2)*(g - 1)*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddtddddtdddd. Give prob of sequence dtd.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 44 - 2?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 101514 and 294?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((20 - 9) + -1 - 6) + -20?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5ab + -2?\nAnswer: 5a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + u - t - 4 = 0, -5*u + 4*t + 16 = 0. Sort 5, -124, u.\nAnswer: -124, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2564, 10205, 22906, 40631, 63344, 91009?\nAnswer: 123590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 9*k**2 + 13*k + 32. Let g be p(-10). Let t(z) = z + 1. Let u(q) = 2*q**2 - q - 1. What is g*t(y) + u(y)?\nAnswer: 2*y**2 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*r + 13 - 13)*(3*r + r - 2*r)*(-r - 3*r + 3*r).\nAnswer: 44*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 422083480 to the power of 1\/4, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-245)\/84 - -3)\/((-24)\/(-18))\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 6. Let t = 30 + -29.44. Let n = t + -0.06. Which is the nearest to 1? (a) k (b) -4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278264 is divided by 92206?\nAnswer: 1646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34898936.\nAnswer: 2, 4362367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 0 + 3\/2*y**4 + 0*y**3 - 7*y + 0*y**2 - 4\/15*y**6 + 0*y**5. Find the third derivative of i(q) wrt q.\nAnswer: -192*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 3*n - 54, -3*n + 95 = 2*n + 5*r. Suppose -2*o = -58 - 24. What is the remainder when o is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -138404944*g**2. Let m(v) = -2*v. Give m(b(x)).\nAnswer: 276809888*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 40950 divided by 2?\nAnswer: 20475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 19*v**2 + 5*v. Let p(f) = 76*f**2 + 19*f. What is -5*p(n) + 19*z(n)?\nAnswer: -19*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 4. Let y(j) = 7. Let m(o) = -o - 6. Let s(n) = 5*m(n) + 4*y(n). Is s(h) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3 + (-1 + sqrt(2736) + -1 - -4*(sqrt(2736) + (-1*sqrt(2736) - sqrt(2736)) + sqrt(2736))) - (-3*(0 + sqrt(2736) + -1)*1)**2).\nAnswer: -24638 + 228*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2 - 61*y + 17. Let z be i(31). Let f be (21\/56 - (-166)\/z) + -4. Put f, 0.1, -0.29 in decreasing order.\nAnswer: 0.1, f, -0.29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9737 - -1.4\nAnswer: 9738.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.06 + 0.34. Let j be (-2 - (-3 + 2))*-36*6. Let g be ((-18)\/4)\/(-1)*24\/j. What is the biggest value in g, 5, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4791745 and 22042027?\nAnswer: 110210135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 4:47 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/224)\/((-1)\/(-4)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-3 + 4 + (7 - 5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8948028 is divided by 813453?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41417915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m = -7*m + 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 8*w - 264 = 0, -10*t + 0*w - 12 - 8 = -2*w + 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 306364?\nAnswer: -306364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 5:59 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a + 50. Let h be l(-4). What is the highest common divisor of h and 760?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/179408 and -19\/67278.\nAnswer: 538224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 904 = 2*t, 4*t + 2*h - 1817 = 3*h. Is t a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3\/7 + 9*r**2 - 135*r\/7 + 69\/7.\nAnswer: 3*(r - 1)**2*(r + 23)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -3*x**2\/2 - 7*x - 3. Is c(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.838 to two decimal places.\nAnswer: -0.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 12*p + 130. Determine x(0).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 2*o - 6*o)*(1 + 0 + 1)*(o - 2*o**3 - o + (-3 + 3 - 1)*(-2*o**3 + 0*o**2 + 0*o**2) + o**3 + o**2 - o**2).\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 90*d**2*i**3 + 3*d**2*i - 59369*d**2 - 6*d*i**3 - 10*d*i**2 - 2*d*i + 16*d - 2*i**3 - 27*i wrt d.\nAnswer: 180*i**3 + 6*i - 118738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 623712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1301158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v - 4*v**5 + 18*v + 6*v**3 + 16 - 20*v**4 + 3*v + 4*v**2 - 34*v**3 = 0 for v.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 13*k**2 - 22*k + 14. Let u(v) = 9*v**2 - 14*v + 11. Give 5*c(a) - 7*u(a).\nAnswer: 2*a**2 - 12*a - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1986809.\nAnswer: 11, 23, 7853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v**2 - v - 3. Let z(k) = 3*k**3 - 200*k**2 - 87*k + 1352. What is the remainder when y(5) is divided by z(67)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*d + 3*d + d)*(-78*d + 148*d + 52*d)*(2 - 2*d - 2) to the form q*d + i + m*d**2 + p*d**3 and give p.\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28685\/73790596 + -1\/25828. Let d = 25693\/57140 + p. Find the common denominator of d and 4\/55.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -222 - -178. Let l = -43.9 - y. Let i = 61\/2 + -30. What is the nearest to i in 2\/7, l, -0.11?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 21 - 1. Let g be (n\/55)\/((-1)\/2). Let w = 11 - 7. What is the nearest to 0 in -1, w, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 1) + ((-366)\/122 - 65) + 13\/1?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 77134c86 + -3?\nAnswer: 77134c83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -28*(4 + (2 - 7)). Let a be 150\/42 + (-4)\/7. Suppose -5*l + a*b = -155, -b - 10 = b. Calculate the greatest common factor of l and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30.9 + 3.9. Let w = 64.4 - 91.7. Let r = w - b. What is the nearest to -0.1 in 0.5, r, -2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-44)\/8*(64\/88)\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, -4, -5.\nAnswer: -6, -5, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 + -32111?\nAnswer: -32119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 672 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 8*m**3 - 18*m**2 - m. Let o(s) = -7*s**3 + 17*s**2 + s. Determine -5*o(u) - 4*x(u).\nAnswer: 3*u**3 - 13*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(-6))\/s**(1\/11))\/((s**(-4)*s)\/s**(-1\/3)))**(2\/95) assuming s is positive.\nAnswer: s**(632\/3135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, o: 2, v: 3, s: 2}. What is prob of sequence so?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -34*d + 33*d - 8, -29 = -2*d - 7*z for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 125\/4 + -31. Let m = -1879 + 1878.5. What is the second biggest value in r, m, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4*n = 236. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**2 - 69*q - 423. Let u be t(28). Put 0, -84, u in increasing order.\nAnswer: -84, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*q = -101*q - 2*l - 480, 0 = 3*l. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {e: 9, h: 1, i: 4, m: 2}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*k - 28*k + 3*l + 41, 2*k + 2*l = -30 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3395402*r*t - 13*r - 13*t + 5043341 wrt r.\nAnswer: -3395402*t - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -100*k**2 - 1. What is h(-1)?\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 0*b + 0*b**4 + 0 + 0*b**3 - 37\/60*b**5 - 8*b**2. Let a(u) = -u**2. What is a(y(i))?\nAnswer: -1369*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 65 = 2*g. Calculate the least common multiple of g and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000 - 101?\nAnswer: 100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - 2 - (-1357)\/330*2. Let g = l + -78\/11. Let y = -0.2 - -0.2. What is the closest to g in -3, y, -1\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13031 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 863.942 to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1181 - -1185. Which is the third smallest value? (a) 1\/3 (b) -0.8 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 97*j. Let w(d) = -2*d**2 + 6*d. Let a(g) = g. Suppose 4*l - 49 = -25. Let t(n) = l*a(n) - w(n). Calculate t(h(c)).\nAnswer: 18818*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2298110, -2298152, -2298194, -2298236, -2298278?\nAnswer: -2298320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 7:11 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 63791352767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 45, 4793 in descending order.\nAnswer: 4793, 45, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41701 is divided by 57?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3066284908?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 5*k - 71, k + 6 = -4*a + 37. Suppose -3*l - k = 2*u, 3*l = u + 7*l + 20. Let z(n) = n - 14. Calculate z(u).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2304968251?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/(-21) - 1\/3. Let l = 124\/5 - 25. Suppose 10 + 10 = -4*o. What is the nearest to a in 0.3, o, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1121\/15 + 79. Which is smaller: 5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*d + 110 = -15*d + 25*d. Solve 12 = d*x + 4*u, 75*x = 77*x + 2*u - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u. Let s = 7 - 1. Let o(b) be the second derivative of -621*b**2 - 2*b**3 + 621*b**2 - s*b. Give o(h(q)).\nAnswer: 24*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -0.02 (c) -208\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.9845 to one dp.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a**3 + 39*a**2 + a + 25. Calculate u(-11).\nAnswer: -591","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23221 - -2?\nAnswer: 23223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/12)\/(f**7*f*f))**(-1\/6))**(-13\/7) assuming f is positive.\nAnswer: f**(-1417\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w. Suppose 3*f = 7*f. Let o(z) be the third derivative of 0*z + z**2 + f*z**3 - 1\/24*z**4 + 0. Calculate o(c(y)).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*q - 24. Let b(v) = 19*v. Determine b(q).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1379 + 2*k - 4148 - 5*k + 2*k + 1379 + 1383.\nAnswer: -k - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1059 - 1046. Let r(u) = 23*u - 1. Let p be r(4). What is the greatest common factor of d and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/(-56) - (-2)\/14*-7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwxyywwx. Give prob of picking 2 w and 2 y.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 19997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -559*i + 6707. Give p(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.290462 milliseconds to seconds.\nAnswer: 0.008290462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**2 + 3*i - 3. Let r be s(-2). Solve r*f - 6*f = -3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4987 < 44878\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1351 (base 7) to base 14\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-9) + (-35)\/441. What is the second smallest value in i, 1, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/4 - 5962731*p\/2 + 35554160978361\/4.\nAnswer: (p - 5962731)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1126)\/(-5) - (-14)\/(-70). Suppose 13*t = p + 191. What is the second smallest value in -1, t, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137263*j + 9065*j**2 + 137263*j.\nAnswer: 9065*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 166 and 4.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 16) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f + 11. Give o(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.41004mg in grams?\nAnswer: 0.00641004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -10*v**4 + v**3\/3 + 1033*v**2\/2 - 2*v - 1527. What is the second derivative of u(d) wrt d?\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -3. Let u(j) be the second derivative of j**4\/6 - j**3 - j**2 - 7*j. Let g be u(3). Which is the second smallest value? (a) r (b) g (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 + 1441061*p**2 - 519163480899*p - 519164921961.\nAnswer: -(p - 720531)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -14 - (35 + -48).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2217 - 1340. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 1\/67, 2, -18, -2 in increasing order.\nAnswer: -18, -2, 0, 1\/67, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 11*z + 5. Let j be n(12). Find the common denominator of 41\/10 and 2\/j + (-1838)\/(-700).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 40 = -5*u - 31, 3*n = -5*u + 31. Suppose -n - 3 = -4*s. Factor d**4 - 2*d**3 + 2*d**s + 4*d**4 + 2*d**2 - 7*d**4.\nAnswer: 2*d**2*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vmk when three letters picked without replacement from {t: 2, w: 2, v: 1, k: 8, m: 1}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 4, 0.2, 15, -1\/6 in ascending order.\nAnswer: -1\/6, 0.2, 1\/2, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 3*n + 1. Let j be v(-2). Let l be (-9 - -5) + j*2. Let q be 8\/6*l\/2. Which is the third biggest value? (a) 2 (b) q (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 + 44. Calculate the smallest common multiple of c and (-10)\/(-1) + (0 - -2).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*sqrt(475))**2.\nAnswer: -80*sqrt(19) + 1916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 + 21. Let j = w + -10. Let a = -13.8 - j. Round a to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, 5, 0.08, -6, 63 in increasing order.\nAnswer: -6, 0.08, 5, 55, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -76*o**2 + 1. Let k be r(-1). Let b = k + 79. Suppose -7*x + 507 = 4*z - 4*x, b*x = -5*z + 635. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 18 = -o + 73, -o = -5*s - 71. Suppose 4*i - o = -5*m, -3*i = -3*m - 1 + 10. Solve -3*c + 5*l - 9 = m, 3*c = -3*l for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 216789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18128 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 + 33. What is the second smallest value in r, 3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*n**2 + 278*n**2 - 500*n**3 - 427*n**3 - 138*n**2.\nAnswer: -927*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 802331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, 789, 1994, 3557?\nAnswer: 5478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4521 + -22606\/5. What is the second biggest value in 4\/13, 28, b?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 1:52 PM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 0*d**3 - 4\/5*d**5 + 2 - 2*d + 0*d**2 + 0*d**4. Differentiate t(r) wrt r.\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*w - w + 90. What is the remainder when 51 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*x + 10012*x**3 + 1512*x**3 + 377*x**3 + 6725*x**3.\nAnswer: 18626*x**3 + 13*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -232752.\nAnswer: -1\/77584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 11*u**2 - 7*u + 1. Give n(7).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 840, 1696, 2552, 3408, 4264, 5120?\n\"Answer: 856*r - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5*y = 8, -7*q = -2*q + 3*y - 8. Determine v so that 22*v**3 - 2*v**4 - 13*v**3 + 3*v**5 - 3*v**2 - 7*v**q = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3\/17 + 5\/68. What is the nearest to 2 in 1, -2, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3 + 12 = 0. Let l = -88 + 113. Calculate the highest common divisor of q and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 11:38 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2373*q + 85598 = -4791 - 82840 for q.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 0. Suppose p = -p + s. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -5*x**4\/2 - 409397*x**3\/2 - 4190086179*x**2 + 2514207280*x + 1676083600 = 0.\nAnswer: -40940, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*y - 138*y**2 + 20*y**3 - 31*y**3 + 21*y + 135*y**2.\nAnswer: -11*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 6*g - 75. Let f be c(13). Put -1\/54, -0.5, f in descending order.\nAnswer: f, -1\/54, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*g**3 + 1036*g**2 + 2614*g - 1212 = 0. Calculate g.\nAnswer: -101, -3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 2:38 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -547 + 302. Let l = 2.262 + -227.662. Let t = l - x. Round t to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11.77 + 12.3. Let s = b - 41.53. Let i = s - -41.01. Is i != 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1497512047?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-83)\/(-249))\/((52\/(-54))\/13)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 11:51 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*d = 65*d - 105*d + 12348 for d.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 7. Let j(n) = 0 + 7 - 3*n + 2*n. Let d be j(7). What is t(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 > -4.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2039, 2067, 2095, 2123, 2151, 2179?\nAnswer: 2207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*j = 8, 5*p - 3 - 5 = -2*j. Let d(f) be the first derivative of 1 - f**2 + p*f**3 + 3\/4*f**4 + 0*f. What is the second derivative of d(r) wrt r?\nAnswer: 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1486737, 5946845, 13380359, 23787279, 37167605?\n\"Answer: 1486703*o**2 - o + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32570118 is divided by 237738?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.22 - 1.22. Are 21 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47169 by -27.\nAnswer: 1747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 35.1 and -31 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -10*(-2)\/(-8) + 1. Let z = 87\/163 + -272\/815. Which is the nearest to -1? (a) z (b) n (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 54 = 5*n, 2*n + n - 34 = s. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*n**2 + 3*n + 3457*n**4 - 109*n**3 + 39*n**5 - 3515*n**4 - 23*n = 0. What is n?\nAnswer: -5\/3, 0, 2\/13, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 130464 and 894.\nAnswer: 19439136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30032320 (base 4) to base 6.\nAnswer: 1023544","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 1, -0.0614, 2\/3, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**3 + 19656*x**2 + 39306*x + 19652 = 0.\nAnswer: -9826, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -361*d - 101. Let v(m) = -m**2. Give v(q(p)).\nAnswer: -130321*p**2 - 72922*p - 10201","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1374219 - 0.1378. Round v to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 7 = 92. Let j(w) = 17 - l + 2*w - 8*w. Let b(y) = 5*y**2. Calculate j(b(z)).\nAnswer: -30*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 139913913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -435 - -435. Let a = 0.1 + -0.15. Let i = -0.35 + a. What is the third biggest value in w, 2\/7, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 77\/3 - 26. Let d(t) = t**2 + t - 3. Let j be d(-3). Suppose 3 = 6*i - 3*i + g, 0 = -3*i - 2*g + j. Which is bigger: i or q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103342 divided by 1473.\nAnswer: -103342\/1473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 5*j - 4. Let i be s(6). Let y be -4 + -4 + (3 - -3). Put 4, i, y in decreasing order.\nAnswer: 4, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)*-2*-6 + -3*sqrt(400))\/(sqrt(605) - sqrt(605)*-1*6 - sqrt(605))*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42276 = -4*o - 2*i, 0 = -2*o + 5*i + 2365 + 18749. Does 34 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 23. Suppose -f*u = 733 - 2785. Suppose 8*l = u - 148. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 438 and 29638.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(2) - (sqrt(288) - 3*sqrt(288) - sqrt(2))).\nAnswer: sqrt(3)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**7)**49)**(-10) assuming c is positive.\nAnswer: c**(-3430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by -418113.\nAnswer: 2\/46457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107847751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 8*s**2 + 19*s - 1029 + 991 + 9*s**2 + 0*s**2. Is 28 a factor of l(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y + 27*y + 123 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-17)\/v*v**(5\/4))\/((v**(1\/4)*v*v)\/(v*v*v**13*v)) assuming v is positive.\nAnswer: v**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58048*j*n**3 - 66*j*n + 18*j - n**3 + 9 wrt n.\nAnswer: 348288*j*n - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 2*n - 2*n)*(-2 - 3 + 4 + 3 - 4 + 3 + (1 - 1 - 2)*(-4 + 2 + 1) - 1 + 5 - 2 + (-4 - 14 - 2)*(-5 + 1 + 5))*(-6 + 8 + 4)*(-3*n + 3*n**2 + 3*n).\nAnswer: -540*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5)\/(l**3*l)*l**3*l**(4\/11))\/(((l\/l**(1\/3))\/l*l*l)**(-35)*(l**(-1))**(18\/11)) assuming l is positive.\nAnswer: l**(163\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/(4\/(-9 + -3)). Let u = -14 - h. Suppose 3*i - u = -4*v + 3, 5*v - i = 3. Calculate the greatest common factor of 4 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r. Let x be 12 + ((-5)\/45*6)\/(3\/36). Let n(l) be the third derivative of 0 + 0*l**3 + 25*l**2 + 4\/15*l**5 + 0*l**x + 0*l. What is n(w(f))?\nAnswer: 64*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -314\/29 - -5527\/406. Let d = -10385\/6 + 1754. Find the common denominator of y and d.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, -1, 883\/3, 4\/409?\nAnswer: 883\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 59 = 5*c - 238, -2*b = -5*c + 277. Let g = c - 59. Put -6, g, 16 in descending order.\nAnswer: 16, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8058 divided by -6\nAnswer: -1343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34001*p**3*s**2 - 848*p*s**2 - 2*p*s - 2*s**2 + 1 wrt p?\nAnswer: 204006*p*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u**2 - 8*u + 1391. What is l(19)?\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 0*m + 0 + 0*m**2 - 8\/3*m**3 - 1\/6*m**5 - 4\/3*m**4 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p**3 + 4 - 2*p**3 - 12 + p**4 - p**3 as d*p**4 + k + m*p**2 + z*p**3 + w*p and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*i**2*n*o**3 + 12*i**2*o**3 - i**2*s - i*o**3 + 21*n*o**3*s - 11*n*o**2*s wrt i.\nAnswer: -26*n*o**3 + 24*o**3 - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((-63)\/(-72))*(-242)\/(-1331).\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gq when two letters picked without replacement from sxlugqxxqsxux?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 4512, 1 in increasing order.\nAnswer: -4, 1, 4, 4512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r**2 - 209*r + 1319. What is d(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*n**2*q**3 - 163*n**2*q**2 + 2*n**2*q + 5804*n*q**3 wrt n.\nAnswer: 6*q**3 - 326*q**2 + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 14*y - 72. Suppose -19*t = -y*t - 1716. Calculate the highest common divisor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 924152?\nAnswer: 2, 331, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r - 2*r + 2*r + (7978881 - 7978881 - 931*r)*(0 + 5 - 4) to m + s*r and give s.\nAnswer: -933","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g**2 + 19*g**2 + 12*g**2.\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 817\/26 + -63\/2. Is 0 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.105 to 1 decimal place.\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2 (b) -1 (c) -1\/6 (d) 1\/4 (e) -0.009024\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -249588 divided by -1.\nAnswer: 249588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -8*h**2 + 2*h - 6. Suppose 2*f - 5*y + 34 = 0, 4*f - 2*y = -3*y - 24. Let s be g(f). Let x = s + 2068\/5. Do 3 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 2 + 1)*(2*t**3 + 0*t**3 + 2*t**3)*(104 - 104 - 8*t).\nAnswer: 192*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 6. Let f = -5662 - -5662.3. What is the nearest to f in c, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 8*l**2 + 1\/8*l**4 + 0*l + 0 + 0*l**3 + 1\/5*l**5. What is the second derivative of z(w) wrt w?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 42 - 4?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 11, -12, -6, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 10) to base 9\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 1 - 2 = -3*f, 0 = -f - 2*q - 1. Let p(z) = -3*z + 3 - 50*z**2 + 10*z + 99*z**2 - 52*z**2. Let y(r) = 4*r**2 - 8*r - 4. Give f*y(c) + 6*p(c).\nAnswer: 2*c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 890906454.\nAnswer: 2, 3, 17, 73, 39883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 14 = 3*b, 0 = -27*l + 29*l + 5*b + 22. Which is bigger: 4\/2877 or l?\nAnswer: 4\/2877","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p + 794. Let y(m) = 2*m. Determine j(y(z)).\nAnswer: -2*z + 794","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-49)\/(-14)*(33000\/42)\/(-50)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 31522\/(-10)*106\/8. Let m = n + 41754. Let i = m + 3\/20. Calculate the common denominator of 43\/11 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3258*b**2 + 5*b - 5. Let q(d) = -2122587*d**2 + 3258*d - 3258. Let n(t) = -3258*f(t) + 5*q(t). Let v(z) = -2*z**2. Calculate v(n(l)).\nAnswer: -5307282*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + 3)*-6*3 + (sqrt(600)*2)\/(-1*-2*sqrt(3)))**2.\nAnswer: 10584*sqrt(2) + 22124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/55, 0.4, -0.1, 4 in ascending order.\nAnswer: -0.1, 6\/55, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9603*s - 3033*s - 4886*s to the form t + a*s and give a.\nAnswer: -17522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10711651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**5\/24 + 3*z**4\/8 - z**3 - 3*z**2. Let b(x) be the first derivative of y(x). What is the units digit of b(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1274425 and 475?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 + 21. Let t(o) = -4*o - 2. Is 9 a factor of t(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/8463839 and -37\/1332031?\nAnswer: 2175206623","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 13*u + 5*w - 1, 0*u - 2*w + 3*w = -2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -53 - -56. Let w(p) = p**3 + 7*p**2 + 4*p - 7. Let v be w(-6). Which is the nearest to -0.2? (a) o (b) -0.4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 7*f**6\/72 - 7*f**4\/8 + f**3\/6 - 23*f. Let w(t) be the second derivative of k(t). What is the derivative of w(z) wrt z?\nAnswer: 70*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-18))\/((-8)\/12). Let n = -1\/25825 + -1136243\/1472025. Let p = n - -2\/19. What is the closest to p in g, 2, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -292*r**3*x - 13*r**2 - 97*x wrt r?\nAnswer: -1752*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w + w**2 - w**2 + 3*w**2 + 3*w. Let m be y(1). Solve 0 = -3*g - 3*q - 21, 5*g = -m*q - 0 - 20 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/165*150\/105.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -54 - 29. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, h: 5, j: 5}. Give prob of sequence ujhj.\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2\/12*9*(-8)\/(-12)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 5*r + 2. Let j be ((-12)\/4)\/(3*(-1)\/3). Suppose -i - 2*i - 60 = -3*f, -22 = -f + j*i. Suppose -f = -5*n - 4. What is q(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60882443759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1172? (a) -29 (b) -5 (c) -0.3 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 186777.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-1) + -5 - ((-20)\/15)\/(21\/(-2079)).\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*s = -4*w + 40, -w - 3*s + 2 = 0. Calculate the remainder when -2 + 2 + (16 - 1) is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 1673?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-64)\/544 + (-49)\/17. Put 3, s, -4, 2 in decreasing order.\nAnswer: 3, 2, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 7:13 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 16 in decreasing order.\nAnswer: 16, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -6*y**2 - 4*y - 2. Let f(g) be the second derivative of -13*g**4\/12 - 3*g**3\/2 - 2*g**2 - 4*g. What is -9*b(l) + 4*f(l)?\nAnswer: 2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -1\/42*z**7 + 0*z**3 + 0*z**2 + 0*z**4 + 0*z**5 - 7\/30*z**6 + 10*z + 0. Solve d(p) = 0 for p.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*s = 15*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 7*i**2 + 5*i + 3. Does 25 divide v(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pxd when three letters picked without replacement from dddpdxxxxdadpaddxdp?\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7320000 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/48720 and -9\/493000?\nAnswer: 20706000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 64167+225981.6\nAnswer: 290148.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**2*o*p*w - 77*a**2*o*p - 2*a**2*o - 2*a**2*p - 80*a**2*w wrt o.\nAnswer: a**2*p*w - 77*a**2*p - 2*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 32 = v, 0*p - p - 5*v + 27 = 0. Let c = p - 11. Let t = c - -12. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -k**4\/4 - k**3\/3 - k**2 - 8*k + 1. Let v be h(-2). Suppose -4*t = -2*d - 840, v*t + 5*d = t - 201. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31043 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -114*h**3 - 6057*h**2 + 211032*h.\nAnswer: -3*h*(h - 24)*(38*h + 2931)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -316 + 226. Let d = p - -94. Solve -d*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 340935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9072 + -5275. What are the prime factors of z?\nAnswer: 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 504 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/24 and -5 + 8 + -4*(-3)\/84.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -26875.\nAnswer: 10750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 5) to base 11\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x + 0 + 0)*(-5 + 3 + 3) - 441*x + 1 + 25 + 436*x.\nAnswer: x + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 0*a**2 + 4*a**2 + 3*a**2 - 4*a**2. Let f(h) = 4*h**2. Determine s(f(z)).\nAnswer: 48*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 15 - 25. What is the highest common divisor of 8 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/8 of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 521715340 to the power of 1\/3, to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1630828272?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17060122783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/95 and 51\/3097.\nAnswer: 15485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 4*k - 8. What is the remainder when 9 is divided by x(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x - 2*x. Suppose 3*z + x*z = 0. Solve z = -s - s - 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38473279, 153893140, 346259575, 615572584?\nAnswer: 961832167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**6\/120 + o**5\/10 - o**4\/24 + o**3\/3 + 5*o**2 - 6*o. Give r(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -m**3 - 325. Let q(d) = 39*d - 5 + 19*d - 17*d + 12*d. Let h(w) = 80*w - 8. Let u(b) = 5*h(b) - 8*q(b). Determine r(u(k)).\nAnswer: -1728*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -250 - -249.97. Let k = 31 - 31.13. Let f = k - j. Sort 1, f, 0.2 in increasing order.\nAnswer: f, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 9:53 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30.2 + 17.2. Put f, -0.5, 0.4 in ascending order.\nAnswer: f, -0.5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355659513 to the power of 1\/3, to the nearest integer?\nAnswer: 709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2. Let q(p) be the third derivative of -p**6\/90 + 2*p**3 - 2*p**2. Let j(r) be the first derivative of q(r). What is v(j(y))?\nAnswer: -16*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17216 - -17219. Suppose 5*u + 20 = 9*u. Solve -d*i = 3*m + 15, i + u = -3*m - 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a milligram in micrograms?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y + 2. Let h be j(0). Suppose -4*c - 136 = -3*d, h*c + 4*d + 68 = -0*c. List the prime factors of (-1)\/(0 + 2\/c).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3997843?\nAnswer: 53, 75431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.7 + 2.3. Let n = -8\/35 - 4\/7. Let u = 127 + -1399\/11. Which is the third biggest value? (a) u (b) o (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-2\/69)\/p*p\/(p*p*p*p**43\/p)*p**(1\/13)\/(p*p\/(p\/(p\/(p**(3\/26)*p)))*p) assuming p is positive.\nAnswer: p**(-82231\/1794)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/22, 1.2, 1\/7 in increasing order.\nAnswer: -1\/22, 1\/7, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -9*o**2 + 41*o - 52. What are the prime factors of l(-6)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -3.5. Let o = -44 + 177\/4. Let y = 1 - 1.3. Put y, o, n in decreasing order.\nAnswer: o, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-5)*(-290)\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1211 (base 4) to base 6\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by 42?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = x - 0*x - 3*a, 5*x - 2*a - 146 = 0. Suppose -2*s - 3*s + x = 0. Let y be (-2 - -64) + 2 - -2. Calculate the greatest common divisor of s and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 768520 (base 10) to base 7.\nAnswer: 6350404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + a = 25, -4*i + 5*a + 510 - 540 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.45 + 0.24. Let l = 0.83 + v. Round l to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 749746, 1499517, 2249288, 2999059, 3748830?\nAnswer: 4498601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 21 = 4*w, 24 = 7*w - 4*w - 2*m. Suppose 11*c - 15*c = -88. What is the remainder when c is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 608\/921 + 2\/307. Let o(k) = 8*k**2 + 4*k - 4. Let r(u) = -7*u**2 - 3*u + 3. Let a(f) = -6*o(f) - 7*r(f). Let y be a(2). Is c <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1583503237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a litre in millilitres?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(2) + -5 + sqrt(2) + sqrt(18) - sqrt(8)\/(sqrt(8)\/sqrt(2))*-1) + 4 + ((2*sqrt(6)*2)\/(sqrt(21)\/(sqrt(21)\/sqrt(3))))**2.\nAnswer: 6*sqrt(2) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 3. Let y be 48\/(-12) - -1*62\/15. Which is the biggest value? (a) o (b) 3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 k when two letters picked without replacement from srhewwks.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.09 (b) -2\/7 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 16 = -2*y + y, 5*l = 4*y - 1. Let i(o) = o. Let u(n) = -3*n. Let r(q) = y*u(q) - 15*i(q). List the prime factors of r(5).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-14) - (-31)\/7. Suppose q*v + 8 = -28. Let b = 33 + v. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4111, -1\/4, 0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (-2 + -1 + sqrt(1900) - (4*(0 + sqrt(1900)) - sqrt(1900))))*6)**2.\nAnswer: -2880*sqrt(19) + 273744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2 + 8 + 1 + 21*d**2 in the form l + m*d + i*d**2 and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -776749*w - 436217 wrt w.\nAnswer: -776749","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-70)*(132\/165)\/(2\/(-10)).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 7*z**2. Let d(y) = 7*y + 45*y - 7*y - 85*y. Determine r(d(g)).\nAnswer: 11200*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-1*-2*((sqrt(304) + 1*sqrt(304) + sqrt(304))**2*-6 + -5) + 3.\nAnswer: -197049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-7\/5)\/q**(2\/13)*((q*q\/(q**6\/q)*q*q*q)\/q)\/(q**(1\/15)*q) assuming q is positive.\nAnswer: q**(-706\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 63771.64 nanoseconds in milliseconds?\nAnswer: 0.06377164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 343 + -340.904. Let v = a - -946.904. Let l = v + -949.0000461. Round l to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 7:47 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-3*sqrt(1700) + -4 - (3*sqrt(1700)*-2)**2)*-6)*6*-4.\nAnswer: -8813400 - 4320*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 113, -423, -1607, -3421, -5847, -8867?\n\"Answer: 3*o**3 - 342*o**2 + 469*o - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x - 6. Suppose g + 3*g + z - 285 = 0, -5*g = -5*z - 375. Let f = g - 78. Give r(f).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = 12082*h - 12086*h. Solve 16 + 41 = h*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.03823 and 653087539?\nAnswer: 653087539.03823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 73864617.1700129 + -73864614. Let g = 4.07 + -0.9. Let k = r - g. Round k to 6 dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13260.9962407 + 13261. What is h rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(4*sqrt(190) - sqrt(190) - sqrt(190)) + -4*-3*sqrt(190))\/((sqrt(80)*-1*-5)\/(sqrt(64)\/sqrt(2))))**2.\nAnswer: 2736\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 4700*a**2 + 82*a + 2*a - 4702*a**2 to i*a**2 + f + y*a and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*q - 52. Let b = q - 16. Let h(g) = 5*g**2 - g. Is 13 a factor of h(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-13)*x*x\/(x\/(x\/(x*x*x\/x**(-6)*x))))\/(x\/x**(1\/3))**(-13\/8) assuming x is positive.\nAnswer: x**(-239\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 7*r**2 + 2*r - 3. Let i be q(-7). Let f = i - -30. Let w = f - 9. What is the smallest common multiple of 18 and w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.0376954002 - 4\nAnswer: -2.9623045998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 111910485259*v**4\/3 + 1119708644376*v**3 + 18117011224*v**2 + 293205536*v\/3 + 175760.\nAnswer: (v + 30)*(4819*v + 26)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 13432*p + 20. What is l(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 21061, 84140, 189315, 336622, 526097, 757776, 1031695?\n\"Answer: 6*x**3 + 21012*x**2 + x + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 292 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15242 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*t**2\/5 + 258*t\/5 - 264\/5.\nAnswer: 6*(t - 1)*(t + 44)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 1673*y - 1646*y + 24*y**2 - 2*y**3 - 10*y**3 + 9*y**3 = 0.\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 153185550 and 2775?\nAnswer: 153185550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 1. Suppose 0 = -h*p + 2310 + 2338. Is p\/32 - (-2)\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 14*n - 8. What is r(2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9305 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6581158879?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -8\/5, 0.01, 53?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -350.8974 rounded to 1 decimal place?\nAnswer: -350.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1364 in -0.4, 0.5, -5, -1\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-216)\/12)\/54)\/(-1*2\/174).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -281.36133821 + 2.542.\nAnswer: -278.81933821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -44 (base 6) to base 2\nAnswer: -11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 6:17 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 8:01 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) - (sqrt(891) + 1)*-2) + sqrt(22)\/(sqrt(6)\/sqrt(3))*-3 + 4 + (4 + 1 + sqrt(11) + 5 + sqrt(176))**2.\nAnswer: 381 + 124*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 939.6193mg in grams?\nAnswer: 0.9396193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2. Let b(k) = -246*k**2 - k. Determine b(i(n)).\nAnswer: -984*n**4 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 5:32 AM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 1 (b) -1 (c) -2\/3 (d) 0.1 (e) 680\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(4\/3))\/((m*m**(-3\/14)\/m)\/m) assuming m is positive.\nAnswer: m**(191\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 14. Suppose a*c - 12 = -c. Solve c*q - 5 = 11 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17095b0 + 7?\nAnswer: 17095b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60091?\nAnswer: 60091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 7:59 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + k - 5*k)*(3*k + 9*k + 3 - 9*k).\nAnswer: -12*k**2 - 12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -310 + 375 - 25*k**4 - 225 with respect to k.\nAnswer: -100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*162.191.\nAnswer: -64.8764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 2*b + 1. Let q be o(-1). Suppose -3*f - 2*f = -155. Let l = f - 21. Solve -5*r - 5*n + l = q, -n = r + 2*n for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 314292 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12\/7? (a) 47 (b) 2\/3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, 11, 47, 107, 197, 323?\nAnswer: 491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 + 29.4. Suppose 49 - 309 = 4*k. Let s = k + 458\/7. Sort s, 0, q in increasing order.\nAnswer: 0, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rjrjrj?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19684.1? (a) -0.2 (b) -2\/3 (c) 0.4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5\/6 (b) 253 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3810383567?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 12:04 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -50b (base 16) in base 7?\nAnswer: -3523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4631158 minus -338420.1?\nAnswer: -4292737.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -103, -204, -305, -406, -507?\n\"Answer: -101*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*m**2 - 2*m**2 + 0*m**2)*(-3 + 0 + 2)*(439*m**2 - 131*m - 214*m**2 - 217*m**2) to the form c*m**4 + w*m**2 + v*m**3 + t*m + b and give v.\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*b + 3 = 8, -3*y + 4*b + 35 = 0. Solve -8 = -6*d + 5*d - y*f, 0 = 3*d + 4*f - 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25087141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 150778000 rounded to the nearest 100000?\nAnswer: 150800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1975, 3948, 5921, 7894?\nAnswer: 9867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -707*t**6\/3 - 2509*t**2\/2 + 1204. What is the second derivative of u(i) wrt i?\nAnswer: -28280*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 299\/4720 - 1\/1180. Let g = 13 + -22. Put g, r, 2 in descending order.\nAnswer: 2, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 6*j**2. Suppose -10 = 5*z - 4*w, -9*z - 5*w = -8*z - 27. Let r(f) = -z*f + 9*f - 4*f - 4*f. Give r(v(d)).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 - 0.072871.\nAnswer: -47.072871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x - 8 = -12*x. Let p = -2 + 3. Let c(u) = 2 - x - 4*u + u - p. Give c(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.456485cm?\nAnswer: 4.56485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 4*o**2 - 4*o - 3. Suppose -3*k = -5*k - 6. Let q be m(k). Suppose q = -2*f - 5*i + 30, 5*i - 30 = -5*f + 15. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -987 and 6?\nAnswer: 993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 24*c + 10811. Let u = c + 573. Suppose 0 = 2*n - 5*f - 45, -97 = -3*n - f - 38. Solve 0 = u*v + n, -j = 5*v - 0*v + 26 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 6*h + 3. Let c be y(6). Let b(t) = -5*t - 3*t + c*t. Let x(i) = i. Give x(b(o)).\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 176.2056s?\nAnswer: 0.048946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 66*q**3 - 7*q**2 - 47*q + 263. Is u(15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-66)\/9)*(-95013)\/(-6925392)?\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42*d**6*v**2 - 3*d**3*v**3 - 8*d**2*v**3 + 8*d**2*v**2 wrt d.\nAnswer: -5040*d**3*v**2 - 18*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3478131 is divided by 869468.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -190 (b) -14.2 (c) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of b**2\/2 - 3*b + 2. Let y be x(8). Suppose 70 = 3*t + 2*t - 4*a, y*a + 11 = 2*t. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = -y + 83. What are the prime factors of y?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -979 + 974. What is the second smallest value in x, 4, 0.0498?\nAnswer: 0.0498","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 13. Let v = -1 - b. What is the nearest to 1 in v, 7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1914 - 980 = 144*z - 7994 for z.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1052380325 to the nearest integer?\nAnswer: 1017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 291\/9 + 8\/12. Suppose 0 = -p - 2*p - d. Which is bigger: p or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/316 and -19\/28.\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6288479.4 hours in weeks?\nAnswer: 37431.425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 + 31)*(-4)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -830 = -4*t + 2046. List the prime factors of t.\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 455 and 1042391?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/9 bigger than 13\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18.6973 - -0.0027. Do t and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -173.267 to the nearest ten.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7959491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -31, -57, -93, -139?\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46003*k**2*w + 22*k*w - k - 2*w + 303 wrt k.\nAnswer: 92006*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -95, -0.1, 6\/13, 33, -2 in decreasing order.\nAnswer: 33, 0.5, 6\/13, -0.1, -2, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40144906.\nAnswer: 2, 223, 90011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 22b1 (base 12) to base 3\nAnswer: 12022121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-2))\/((-12)\/(-24)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 252a91 (base 11) to base 4\nAnswer: 1201132233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/22014 and 59\/3.\nAnswer: 22014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, c: 1, f: 3}. What is prob of sequence ffcf?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 4:51 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 3*q - 4. Let i be g(3). Let d(a) = 0*a**2 + a**2 - 2*a + 2 - 2*a**2. What is d(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 10:35 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1396 - 839. Is k >= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -374 - -1590. Suppose -6*u + 14*u - l = 0. What is the highest common divisor of 19 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*k - 5893 - 2012 = 0, 5*x - 4*k = 13220. What is the thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106113 is divided by 79?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 687674.3 centimeters to kilometers.\nAnswer: 6.876743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -298, -553, -776, -949, -1054, -1073, -988, -781?\nAnswer: -434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 6*c**3 + 2*c - 3*c**2 + 4 + 0 - 1. Let m be u(3). Suppose 0 = 4*k - m + 536. Round k to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-56)*9\/(-45)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**4*f**0)**(1\/24) assuming f is positive.\nAnswer: f**(-1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8611165.\nAnswer: 5, 113, 15241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-2 + 3 + 0). Which is greater: -6\/19 or g?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 + -37. Which is the nearest to -1? (a) -3 (b) z (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -426*q**4 + 11*q**2 - 2*q?\nAnswer: -10224*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (500\/(-13))\/(2 + (-35)\/20). Let z = w + 154. Let p = -6 + 1. Sort -2\/7, z, p in ascending order.\nAnswer: p, -2\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -1. Let k = 470.42 + -469.72. What is the nearest to -2 in 2, n, k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*g - 279*g = 292 + 116 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u + 5. Let y be a(-6). Let v be (y*(0 - 0))\/2. Find f such that f**3 + v*f**2 - 1 + f - 2*f**3 + f**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, w: 3, e: 3, l: 4, m: 2, z: 2}. What is prob of sequence ewe?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23360680 is divided by 8379.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 30, -10, 2, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**2 + 18*b - 4. Determine t(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 461636467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*o + 100*o = -2588. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**4\/4 - 4293*f**3\/4 + 456271*f**2\/2 + 552861*f + 184574 = 0.\nAnswer: -2, -2\/5, 403, 458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7995, -31061, -69497, -123303, -192479, -277025, -376941?\n\"Answer: -7685*t**2 - 11*t - 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = k + 1. Suppose 5*y - k - 82 = 0. What are the prime factors of y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 11:30 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ljl when three letters picked without replacement from {j: 3, l: 4}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 1539*y + 14 - 1541*y - 14. Let k(a) = 152*a**2. Give r(k(n)).\nAnswer: -304*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -183 + 127. Let z be (-1 + 0)*x\/(-4). Let l = -12 - z. Solve 12 = -3*j, -4*s + 0*s + l*j + 16 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -68\/7 in -18, 0.03, 0, -2\/13, 4?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-2) + 30\/(-4). Let u(c) be the third derivative of c**5\/30 + 13*c**4\/24 + 5*c**3\/3 - c**2. Does 13 divide u(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 2*u + 19 = 0, 0*r + 7 = r - 5*u for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14485 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*f - 318 = 0. Is 15 a factor of 1*f\/(2 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5141, -4926, -4683, -4412, -4113, -3786, -3431?\n\"Answer: 14*d**2 + 173*d - 5328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m + 64 = -35*m. Find the common denominator of 95\/4 and ((-19)\/(665\/930))\/m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-32)*2*2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m**3 + 7*m**2 + 7*m + 7. Suppose 13 + 11 = 4*f. Let n(s) = -s**3 + 3*s**2 + 3*s + 3. What is f*q(b) - 14*n(b)?\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 8*q + 2)*(q**2 - 3*q**2 + q**2 - 16) as d + g*q**2 + x*q**3 + j*q and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**6\/40 - 11*a**5\/40 + 3*a**4\/4 + 9*a**3\/4 + 23*a**2. Factor p(o).\nAnswer: 3*(o - 3)**2*(2*o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48678?\nAnswer: 2, 3, 7, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15311.43 nanometers to meters.\nAnswer: 0.00001531143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 704.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y - 15. Give b(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -99.3, -3, -570.5?\nAnswer: -99.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 83 + -5?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmztmzlrltrmltlmm. Give prob of sequence zz.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 - 61348*y - 919770.\nAnswer: -2*(y + 15)*(y + 30659)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + (9 - (2 - -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2375 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h + 32*h**3 + 1 - 3*h + 5*h**4 - 2*h**4 - 30*h**3 to the form k*h + b*h**3 + g*h**4 + r*h**2 + l and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -76912\/14595 - -3\/973. Let k = 102 + -289\/3. Let q = z + k. Is 0 at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*4\/24)\/((-3)\/(-30)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5031*l**2 - 52*l + 11701. Let x(o) = -5032*o**2 + 65*o - 11702. Let h(w) = -4*x(w) - 5*y(w). Differentiate h(t) wrt t.\nAnswer: -10054*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**1)**(-8\/7)\/((w*w\/(w*w**(-4)))\/w*w*w\/(w*w**(-7))))**45 assuming w is positive.\nAnswer: w**(-4500\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*h - 21 = -5*j, 0 = -3*j + 3*h + 18. Let n be ((-24)\/20)\/((-2)\/5). Factor -d**n + 0 + 0*d - 5\/4*d**4 - 1\/4*d**2 - 1\/2*d**j.\nAnswer: -d**2*(d + 1)**2*(2*d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 168*s + 280*s + 589*s**2 - 120*s to f*s + w + m*s**2 and give m.\nAnswer: 589","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -15 + -1 + 75 + 12 - (10 + 2)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/7 - 29\/28. Is 0.3 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 400 + -386. Solve f = -b*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/2*(97520\/954)\/115?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of f**6\/120 - f**5\/15 + f**4\/24 + 5*f**3\/3 - 12*f**2. Let p be y(3). Solve 2*j + 22 = -j + 5*d, p*d - 16 = 4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -675 or -696?\nAnswer: -675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6, 25, 56, 99, 154, 221, 300?\n\"Answer: 6*c**2 + c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-7) + (-3)\/7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59.2 - -59.22282. Round a to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 3, i: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2502 * 0.32.\nAnswer: 0.080064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12645 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -480*i - 174*i + 306*i.\nAnswer: -348*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-10))\/((-3)\/(-12)). Let i = -2 + 8. Sort 1\/3, m, i in ascending order.\nAnswer: m, 1\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**3 - 5*w**2 + 4*w - 3. Let o(c) = -3*c**3 + 9*c**2 - 9*c + 5. What is -3*o(b) - 5*q(b)?\nAnswer: -b**3 - 2*b**2 + 7*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 = 2*u - 4*n, u + 410 = 6*u + 4*n. Which is the second biggest value? (a) 0.5 (b) -3\/2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 48\/5 of a kilogram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 348 = 5*s + 9*m + 346, 3*s = 4*m - 27 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -1 (c) 17 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m - 3. Let v(j) = -3*j + 5. Let b(i) = -5*t(i) - 3*v(i). Let p(x) = 5*x**2. Calculate b(p(g)).\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 42, 2\/707, 1\/8?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*s + 5, 4*l = 5*s. Suppose -l*j = -0*j + 90. Is (-1678)\/j - (-2)\/(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a litre in millilitres?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1012 + -550?\nAnswer: -2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -409376, -409372, -409358, -409328, -409276, -409196, -409082?\n\"Answer: m**3 - m**2 - 409376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 18) + 4 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 5. Let c(v) = -v - 9. Let m be c(t). Which is smaller: -2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.5 - -7. Let z = t + 2. Let g = 1747 + -1746. What is the nearest to g in z, 4, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pdpxvvvvpppdvxd. What is prob of picking 1 x, 1 v, and 1 d?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of 2*x**3\/3 + 2*x. Let f(b) = b. Determine f(h(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 6*q**2 - 11*q - 12. Let r be n(-8). Let h be 2\/9 + (-940)\/18. Is r > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, w: 5, e: 3, h: 3}. What is prob of sequence eehh?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1954 is divided by 473.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 7 = u, -o + 4 = -4*u + 17. Suppose -28*c + 82 = -u. Let y(p) = -p**3 + 7*p**2 + 3*p - 5. Let g be y(7). Solve s - 18 = 4*x, c*s = 2*x - s + g for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 2, 4149, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1149 (base 10) in base 6?\nAnswer: -5153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96264 and 200?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -43233 (base 5) in base 10?\nAnswer: -2943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 1 + 2 = 0. Suppose 0 = -h*w + 4*j + 18, -3*w = 2*w + 5*j - 30. What is the smallest common multiple of w and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23.9 + -24. Let o = -0.1 + -0.3. Let y be (3\/9)\/((-14)\/6). Which is the nearest to j? (a) o (b) 2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -10. Let n = g - -10. What is the remainder when 46 is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-20)\/9)*358\/(-537).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 s when three letters picked without replacement from {s: 5, l: 2}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**2*u**3 - 77*s**2 + 2*s*u + 12*s + 4*u**3 wrt s?\nAnswer: 2*u**3 - 154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/3 + (-13)\/(-3). Suppose 4*k - 24 = -8. Suppose 9 + 10 = -d - 5*v, -20 = -k*d + 4*v. What is the highest common divisor of d and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3942714 divided by 657119?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 10467, -4, 1 in decreasing order.\nAnswer: 10467, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -557, -551, -545, -539, -533, -527?\n\"Answer: 6*c - 563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-630)\/378*-10*(-20)\/(-1250)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2, 570, 2208, 5450, 10830?\n\"Answer: 89*l**3 + l**2 - 58*l - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 50.61 from 220.\nAnswer: 169.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1212 (base 4) to base 14\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/136*8*(-1)\/(-3).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 2*x + 3*x)*(20*x + 6*x + 22*x).\nAnswer: 96*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 14. Let x(z) = 5*z**3 - 5*z**2 - 13*z + 12. Is x(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 5*r. Suppose 3*z + 0 = 5*f + 6, f - 3*z + 6 = r. Let i be f + ((-2)\/(-1) - 0). Solve k = 5*q - 8, -k + i*q - 1 = 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 143*b**2*l**2 - 96*b*l**2 wrt b.\nAnswer: 286*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 553306, 553112, 552914, 552712?\nAnswer: 552506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 1\/3 (b) 5 (c) -2 (d) 2\/5 (e) -1.7 (f) -14 (g) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2765 divided by 2\nAnswer: -2765\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 3 = 5*z - 7, -z - 28 = -5*o for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21101021 (base 4) in base 2?\nAnswer: 1001010001001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -s + 84. Let n be -2 - -3 - 39\/s. Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12\/11 (b) 3 (c) -7 (d) 5 (e) -0.1 (f) -0.3 (g) -213\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2543 + 1458. What is the tens digit of (-8)\/(-4 + 0)*v\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13062810 and 52251240.\nAnswer: 52251240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87, -80, -359, -750?\nAnswer: -1253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z + 6. Let b be f(6). List the prime factors of b\/(-15) + 7\/(105\/1962).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 5*w**2 + w - 2. Let n be d(5). Let s = 1 + -0.9. Let u be (-6 - (-163)\/27)*-6. Put n, u, s in ascending order.\nAnswer: u, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320\/4680 + 2\/13?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 6*c**2 - 14*c - 39. Let u be k(-6). Let g(x) = 30*x. Let n be g(1). Let y = u - n. Is y a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ksk when three letters picked without replacement from kmomsnjsjmooks?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/802?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12020020 (base 3) to base 16.\nAnswer: -ee5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 7 + 4 - 5*i**3.\nAnswer: -5*i**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4\/(-6) - 1885\/(-15) is divided by 29?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 2, -5, -0.09, 1\/3, 1\/2, -53, -1630?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2. Let c(d) be the third derivative of -d**6\/60 - d**5\/10 - 2*d**2 - 9. Let g be -6 + -3 + (-9 - -12). Calculate g*m(w) + c(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b19b + -cb3?\nAnswer: -be4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-16.66\nAnswer: -1.666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1193.2855 rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 28 = -a. What is the remainder when a is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1996 + 1992. Let d(k) = 9*k + 23. Give d(y).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**2 + 1586*h - 4767 = 0. What is h?\nAnswer: -1589, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387 is divided by 65?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from fiififiiififff?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3420131 (base 5) to base 12\nAnswer: 2b136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + f - 7 = 0, -99*t - 2*f + 14 = -103*t. Is t greater than or equal to 7\/97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 10:51 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*h - 3*h + h**2)*(-2*h + 4*h - h) + 4*h**3 - 3*h**3 - 3*h**3 + (10 + 10 - 12)*(2*h**3 - 2*h + 2*h) to x*h**2 + a*h**3 + k*h + g and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 23\/((-69)\/(-42840)) - (1 + 2). Suppose -4*l - a + z = 0, -4*l = 2*a - 16159 + 1885. What is l rounded to the nearest 100?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 12 = 3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6633455 - -2?\nAnswer: 6633460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 16 = 5*f - 0*q, -16 = f + 3*q. Put f, -12, 4, -1 in ascending order.\nAnswer: -12, f, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five eighths of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1235710*b**2 - b + 641782 wrt b.\nAnswer: 2471420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7ba4 - 7b?\nAnswer: 7b25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -34. Suppose -3*r = 5*b - 26, 0 = 4*r - 4*b + 16 - 40. Calculate the highest common factor of d and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**2 + o - 51. Let a(u) = 5*u**2 - 2*u + 103. Determine 4*a(h) + 7*m(h).\nAnswer: -h**2 - h + 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((4*(sqrt(405) + -5*3*sqrt(405) + sqrt(405) - sqrt(405) - (sqrt(405) - (0 + sqrt(405) + 0))) + -4)*-5)**2.\nAnswer: 302400*sqrt(5) + 95257200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.4, -0.5, -314, 519?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1711.\nAnswer: 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 10, t: 10}. Give prob of sequence tg.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of x**4\/12 + x**3 + 5*x**2\/2 - 25*x\/3 - 28. Factor r(a).\nAnswer: (a - 1)*(a + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6014351 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-503391\nAnswer: 100678.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11319 by -7.\nAnswer: 1617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -267170, -1068668, -2404496, -4274660, -6679166?\n\"Answer: -g**3 - 267159*g**2 - 14*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in 3\/7, -3, -1\/2, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 17*x - 16. Let s be j(15). Suppose 3*i - s - 97 = 0. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*s**3\/7 + 1371946*s**2\/7 + 4329940*s\/7 + 3171376\/7 = 0.\nAnswer: -2, -52\/45, 15247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 16*g**2 - 8*g + 153. Let m be z(-17). Suppose 2*c = 2*y - 46, c + 90 = 4*y - c. Let v = y + -18. Solve -3*i + v*i = m for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 12.1. Let g = y + -1.2. Suppose -2*u - 2*l + 0*l = 0, -5*u + 6 = 2*l. Sort 0.2, g, u in ascending order.\nAnswer: g, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of 0*k - 11\/6*k**3 + 0 - 11\/24*k**4 - 2*k**2. Let f(i) = -2*i - 2. Let j = -22 + 28. What is j*z(p) - 34*f(p)?\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zl when two letters picked without replacement from lrrzwwg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, p: 8, y: 2}. What is prob of picking 1 y, 2 t, and 1 p?\nAnswer: 48\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Is 32995 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 39*u - 2. Suppose 2*p + 3*p = 35. Let s be f(p). Let q = s + -192. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 7 - 11 = 4*d, 3 = -2*d + p. Let w = 15 - d. Solve 0 = 4*l + h + w, 0 = -3*l + 4*l - 3*h - 2 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-7)\/(49\/(-84)). Let b be 49 - 2\/(-4)*-4. Let i = u + b. Does 9 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -18563, -37129, -55695, -74261, -92827, -111393?\n\"Answer: -18566*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 4*c - 17. Let b be h(-7). Let m(a) = a**2 + 2*a**2 + b*a**2 - 4*a**2. Let z(k) be the second derivative of -k**3\/3 + k. Calculate z(m(f)).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**2\/5 - 129456*g\/5 - 2094856992\/5 = 0.\nAnswer: -32364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*d**2 - 27*d**2 - 22*d**2.\nAnswer: -33*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**9*u*u\/(u*u\/u**10) assuming u is positive.\nAnswer: u**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4105\/4 + 1040. Calculate the common denominator of 61\/88 and n.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 21. Let s be d\/3 - 15\/(-9). Solve -z - 3*l = -l + 1, s*z + 7 = -2*l for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and -298.5.\nAnswer: -11.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 13 = -a - 2, 5*g + 3*a - 28 = 0. Suppose 0 = 2*z - g*c - 23, 2 = -2*c - 4. Suppose 0*s + z = s. Solve 0 = -s*j - 4, -3*o - 5*j - 3 = -4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*y**2 + 28*y**2 - 50052*y**3 + 23*y**2.\nAnswer: -50052*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 10 + 30 = 5*g, 0 = -c - g + 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 4*m**2. Let t = 63 - 67. What is n(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5052971 is divided by 561441.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 520 - 251 - 3*o - 247 + o. Suppose 0*n + 5*n = 0. Is 16 a factor of z(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31398791179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -156890, -313781, -470672, -627563?\n\"Answer: -156891*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1766, 3672, 5578, 7484?\nAnswer: 9390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 58*g. Let j(p) = -476*p + 233*p + 7*p**2 + 16*p**2 + 243*p. Determine j(u(v)).\nAnswer: 77372*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 - 9 = -3*h + 4*n, 5*n - 33 = -2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11401 + -11386. Solve 0 = -r*s - 292 + 157 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 3*i + 1 - 2*i + (13 - 26 + 5)*(-16*i + 12*i + 3*i).\nAnswer: 9*i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/10*16\/204\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - v + 6 + 0 = 0, -5*t + 15 = v. Solve -2*j = 2*n - 0*j - 2, 0 = t*j for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 12 - 0. Let p be -1*(-5 + w)\/(-12). Let f = -172.1 - -171.1. Sort -0.5, 2\/3, p, f.\nAnswer: f, -0.5, p, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3087 is divided by 616.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -c**5\/30 - 41*c**3\/3 + 801*c**2. Let r(p) = -3*p. What is r(d(z))?\nAnswer: 6*z**2 + 246","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + a - 687*a**2 + 342*a**2 + 347*a**2 + 29*a**3 to the form z + b*a**2 + m*a + q*a**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3490.5 and 19?\nAnswer: 3509.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 11. Suppose -l + 5*v + 40 = 2*l, l - 4*v - 25 = 0. Which is smaller: t or l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*o**4 - 8*o - 11*o**3 - 2*o**2 - 3*o**4 + o**4 + 16*o - 11*o as i*o**3 + m*o + b*o**4 + a*o**2 + c and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 3:48 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 120 - -39. Let l = -159.00198 + r. Round l to 4 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 933199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 522 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -5*w**4\/12 + 4*w. Let d(z) = 2*z**2 - 11*z. Let o(k) = k**2 - 6*k. Let a(l) = -6*d(l) + 11*o(l). Give y(a(m)).\nAnswer: -5*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0542 rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from xooovdmoo.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (3 + -5 + 2 + -5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.22, 14323, -0.5, 2\/23?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2 - 2) + 1004)*50. What is c rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 0.017.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*j = -84*j - 6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 + 62*r**3 - 435 + 435)*(4 - 3*r - 4).\nAnswer: -186*r**4 + 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(418)*2*-5)\/sqrt(11))\/(sqrt(162) + sqrt(162)*-1*-5 + sqrt(162)).\nAnswer: -10*sqrt(19)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1434*v + 2432 + 108680 = 1150*v for v.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/6 - (-5)\/(-2))*1. Let n be 219\/(-9)*(-3 + 2). Let l = n + -24. Which is greater: i or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -0.2, 0.02927, 0.16 in decreasing order.\nAnswer: 26, 0.16, 0.02927, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5141 + -0.0969. Let v = -0.156 - m. Round v to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-357 + 3788 - 822)*(-1 + 1 + o**2)*(o**2 + 4*o**2 + 0*o**2) in the form d + y*o**2 + c*o**4 + q*o + t*o**3 and give c.\nAnswer: 13045","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/2 + 11*v + 204.\nAnswer: -(v - 34)*(v + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2907*k**2 - 8772*k - 146. What is l(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -76*t + 71*t. Suppose u = t*u - 10. Find the third derivative of 5*x**6 - 8*x**2 - 36*x**5 - 22*x**6 + 36*x**u wrt x.\nAnswer: -2040*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (2 - 5) - (-1 - 5).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -85*g**2 + 94580*g + 4428225.\nAnswer: -5*(g + 45)*(17*g - 19681)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 246384 divided by -6.\nAnswer: -41064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 5*p + 6*a + 30, 0 = 3*a. Suppose -n + 0*n - 6 = 0. Is p at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 + 18 - 4) + -9 - (88 + -6)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/485 and -43\/776.\nAnswer: 3880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 26*b - 289. What is the tens digit of c(-17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43006.0020543 - -43006. What is k rounded to 4 dps?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 n, and 1 l when three letters picked without replacement from {n: 2, w: 1, r: 2, t: 2, m: 1, l: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5117 and 2023.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h + 2 - 2)*(61 + 76 - 202) - 3 + 3809*h - 3806*h + 5 as t*h + k and give t.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 12:42 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b**4 - 7*b + 6*b - 2*b**4 - 2*b**2 + 3*b**3 as y*b**2 + p + u*b**4 + a*b + f*b**3 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 2*d**6 + 17*d**3\/3 + 2. Find the third derivative of w(j) wrt j.\nAnswer: 720*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, e: 4, l: 3, o: 2}. What is prob of picking 4 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-10))\/((-39)\/(-104))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/6 and 71\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -177 + 250. Let v = 73.00000132 - x. Round v to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 44*k**4\/7 + 38*k**3\/7 - 270*k**2\/7 + 36*k\/7 = 0?\nAnswer: -3, 0, 3\/22, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2319 + 0.1319. Suppose 5*k = 8*k - 33. Put 5, k, f in decreasing order.\nAnswer: k, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6\/7 - 17\/28. Let t = 5992 + -6004. What is the second biggest value in -1\/2, 0, t, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23627628 to the power of 1\/3, to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -143*w - 5. Let t(s) = 289*s + 12. Let k(d) = -5*m(d) - 2*t(d). Let a(n) = -2*n. Determine a(k(z)).\nAnswer: -274*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*n = -13, 0 = -n - 4 - 0. Let p(l) = l**3 + 8*l**2 + 6*l - 1. List the prime factors of p(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -54\/73?\nAnswer: -54\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 - 30. What is the least common multiple of p and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(3\/10)\/k)\/(k*k\/(k\/(k*k**(2\/3)\/k*k))))**37 assuming k is positive.\nAnswer: k**(-3737\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 + -2*306393\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30909436?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 318445 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 386595803.\nAnswer: 11, 131, 268283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence asv when three letters picked without replacement from tccttovtsttsttattvt.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 32 - 12, -t + 5 = l for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 138.117609ns to weeks.\nAnswer: 0.0000000000002283690625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -w**3 - 17*w - 2*w**3 - 4*w + 12*w**3 wrt w?\nAnswer: 54*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -7492?\nAnswer: -1\/3746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 900921 and 119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*(sqrt(1377) + sqrt(1377) + (sqrt(1377) - (-1 + sqrt(1377)) - sqrt(1377))) + 2).\nAnswer: -225*sqrt(17) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2011 - 2004. What is the closest to 1\/4 in 2\/5, 2, o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 352541.9l?\nAnswer: 352541900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -5*t + 2. Let p be u(-3). Suppose 0 = -3*r + p + 1. Suppose -r*c = -4*c. Solve c*f - 4*f + 24 = -3*h, -3*h = 4*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 2 + 213 + 4. Suppose -211*w = -i*w + 2120. Does 73 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26286, 52246, 78206, 104166, 130126, 156086?\nAnswer: 182046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3286216 (base 9) to base 3.\nAnswer: 10022220020120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 8*a**3 - 2. Let u = -78 + 83. Let z(p) = 8*p**3 - 2. What is u*z(d) - 4*h(d)?\nAnswer: 8*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p. Let i be (-4)\/(-6) + (-4)\/6. Let h be 4 + i\/(-2) + 1. Let v(x) = -x + 5*x - h*x. Determine v(u(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8303871 is divided by 45?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -5. Suppose 2*b + 30 = 7*b - 5*h, f = 5*b - 2*h - 33. Calculate the least common multiple of (3 - 7)*2*-1 and b.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -11?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-2937)\/1246)\/(22\/(-70))\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 18 - 98. Suppose o + 3*q - 7*q - 4 = 0, 3*o - k = -5*q. Suppose -2*v - o = -86. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25? (a) 0.5 (b) -2 (c) 1\/3 (d) -1\/5 (e) 3\/14 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 22*w**2 - 9*w - 29. What is the hundreds digit of q(-19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15702 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1152*f**3*s**3*x + 861*f**3*s*x - 3546*f*s**3*x**2 - 5*f*s*x**2 - 86*f*s + 5*s**2*x wrt s.\nAnswer: -6912*f**3*x - 21276*f*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 7*j - 15. Let c be (1 + 0)\/(22\/(-23) - -1). Suppose -16*o = -c*o + 112. Sort j, -4, o.\nAnswer: -4, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b9c - 4?\nAnswer: 1b98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*j = 316*j + 68 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 19 = 2*a, 0*a = -2*a - 10. Suppose -4*r = -4, s + j*r + r - 11 = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2535 times 1910?\nAnswer: -484.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + 14. Calculate the greatest common factor of m and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 77 * 6.28.\nAnswer: 483.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -93*i + 4. Let s be p(2). Let n = s + 647. What is n rounded to the nearest 10?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2675 and 300777?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 75*k + 3292. What is w(31)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.05 - 0.35. Let b = 6.8 + -9.4. Let f = x + b. Sort 2\/11, 0, f in decreasing order.\nAnswer: 2\/11, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-5) - 90\/78 - (-3)\/5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 7\/2*h**2 - 4*h + 17\/3*h**3 - 3. Let x be r(6). Round x to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -245 and 3?\nAnswer: -735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105 + 107 = n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(490) + sqrt(490) + sqrt(490) + sqrt(490))\/(-2*sqrt(5)*3) + ((sqrt(242) - (sqrt(242) + sqrt(242)*-4 + -5))*-6)**2.\nAnswer: 95033*sqrt(2)\/6 + 140292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10121212000010 (base 3) to base 16\nAnswer: -1d6385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 252\/455 + 6\/(-39).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-10\/9)\/(r\/r**(-2\/13)*r))**(16\/3)*(r**(-1\/4))**(1\/18)*r**(3\/11)*r\/(r\/((r*r**3)\/r)) assuming r is positive.\nAnswer: r**(-437197\/30888)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2369 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17406 + -16023271?\nAnswer: -16040677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 18*c**2 - 13*c + 20. What is the tens digit of b(21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -4\/3*d**5 - 4*d**3 + 0 + 0*d + 4*d**4 + 4\/3*d**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 9*l**2 - 64*l + 2. Let u be q(7). Which is the fourth biggest value? (a) -2 (b) 7\/3 (c) u (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-75)*3*(-10)\/(-24)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -10*(-3)\/(-3) + 10. Let z(w) be the third derivative of 13*w**2 + 0*w + 0*w**7 + 0*w**3 - 2\/75*w**5 + 1\/420*w**8 - 1\/50*w**6 + 0 + l*w**4. Factor z(i).\nAnswer: 4*i**2*(i - 2)*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10279318.46 rounded to the nearest 100000?\nAnswer: 10300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 438368 is divided by 219169.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*j = -7*j - 28. Solve 75*m = 74*m - j for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -135 + 116. Let w be -1*(6\/(-3))\/(-2)*s. Let r = 118 - w. What is the highest common divisor of 11 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, -4, 5, 822 in descending order.\nAnswer: 822, 77, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 smaller than 55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55988.\nAnswer: 2, 13997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*c - 8238668 = 0, 8*c = 4*h + 13*c + 10984884. Let i = h - -1900216. What is i rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - m + 0*m + (-5*m - 3*m + 5*m)*(3 - 2 + 1))*(-51 - 24 + 48)*(2 + 0 - 1).\nAnswer: 189*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 455?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 39211.9862 rounded to the nearest 100?\nAnswer: 39200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and (-1)\/(-4) - 94\/(-8).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-19 + 19)*(5 - 4). Solve l = -100*u + 111*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-945)\/70 - (-8399)\/370) + (1 - 9)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 72828.5 (b) 0.07 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**4 - 5*a + 2*a**2 + 19*a**4 - 13*a**4 + 2*a**3 to g*a**2 + p*a**4 + j + r*a + z*a**3 and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (3\/65)\/(793\/(-3965))\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 34*((-10)\/(-4) + -1). Let h be 1 + -2 + 906\/18. Let q = h - g. What is the closest to -1 in -5, q, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7*(-12)\/(-63) - (-2)\/3. Suppose 21120 + 2804 = m*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84451573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/627 and 29\/24?\nAnswer: 5016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 673 = -4*a, 2*l - 58 = 3*a - 559. Let j = -114 + a. Suppose -5*n + 2*y = -3*n - 40, 4*n - j = -y. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 9069*a - 7. Let q(i) = -3023*i + 2. Determine 7*q(s) + 2*z(s).\nAnswer: -3023*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16659758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + -13 - (-3 + 0\/1). Let i be (-40)\/(-25) - v\/15. Solve c - i = -5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21300 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 5:53 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23486 and -0.03.\nAnswer: 704.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6*j = -3*z - 9, 4*j - 2*z - 6 = 0. Suppose 5*o - 4 = 4*o. Solve 12 = -j*q + o*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23628 or 23587?\nAnswer: 23628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6.962 or 0.63?\nAnswer: -6.962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 6:50 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) + 3 - sqrt(32)*-1)*5)**2.\nAnswer: 1350*sqrt(2) + 4275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/7*(-8 - -6).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p**2 - 53*p - 7. Let n(x) = 2*x**2 + 26*x + 3. Let j(h) = 5*n(h) + 3*z(h). Let t be j(30). Let r be 200\/(-18)*t\/(-10). Which is greater: r or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/11 or 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 39*r + 400. Does 73 divide p(38)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -929*j**2 - 962?\nAnswer: -1858*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*q - 148*q = -28*q - 105705. Calculate the remainder when q is divided by 104.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2893937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 2.03. Let i = p - -0.37. Let u = -0.9 + 5.9. Which is the smallest value? (a) i (b) u (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 84 = 15. Let n(z) = 5*z - 42. Let u(w) = -w - 1. Let t(o) = n(o) - 5*u(o). What is the remainder when t(c) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (14 + -17 - (-2 + 7))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 + -62 + 2 - -7?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1 = -4*x, 0 = -3*j - 3*x + 8 + 10. Suppose 8765004 + 7451861 = -j*l. Let s = 5343373 + l. What is s rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 293 - 76. Let p = g + -217.000093. Round p to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 + 2 + 0 + 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -70*b**2 - 12*b - 4. Let r be c(-5). Suppose 3*d = 5*o + r, -o + 0*o = 5. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-12)*184\/6. List the prime factors of (-2)\/8 - ((-228275)\/20)\/f.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11\/8, -0.65, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-3)*18\/24\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 79021781?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5305*c + 154. What is the tens digit of k(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276835 is divided by 132?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 46236 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**5 - 242*d**4 + 6478*d**3 - 56700*d**2 - 24057*d + 39366.\nAnswer: (d - 27)**3*(d + 1)*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -4. Suppose 0 = 2*a - z*n - 18, -n + 6 = -0*a + 3*a. Solve -a*h = 1 + 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.2 take away -0.18725046905?\nAnswer: 57.38725046905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((325374\/1016)\/(-183))\/((-2)\/(-64))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52 by 219818.\nAnswer: 26\/109909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 248587\/12 - 20727. Calculate the common denominator of g and 79\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -18*l + 4. Suppose 5 = s - 10. Calculate the remainder when t(-3) is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -321, -639, -957?\n\"Answer: -318*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 12*q**2 - 6*q - 24. Let x be r(8). Suppose 0 = 3*s - 9*s + x. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - (9 - 4) - (4 + 0 - (-380 - -387))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (71\/(-284))\/(14\/24).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92504 is divided by 30834?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1290\/(-7310) + 6\/34. What is the third biggest value in 1, 18, -6, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3\/5)*o)\/o**(-14))**12*((o**3\/o)\/(o*o*o\/o**(-2\/9)*o*o))\/(o**(-2))**(29\/2) assuming o is positive.\nAnswer: o**(8936\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 6:45 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1178603097 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: Let w(z) = -z**3 + 12*z**2 + 3*z + 10. Does 92 divide w(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33703 to the power of 1\/2, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 0*v + 3. Let a be v\/(-2)*12\/(-9). Differentiate 4*w - 3*w - a - 2*w with respect to w.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8898, 5404, 1910?\n\"Answer: -3494*j + 12392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*k = -11*k - 3*k + 1638 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 - 43*q - 38. Determine h(19).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 85412 = 5*c, 394*g = 395*g - 1. What are the prime factors of c?\nAnswer: 11, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47737 + 23591 + w + 24146.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2322360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2342 (base 5) to base 13\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0521 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -198023518\/3065 - -64608. Are o and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*t - 3 = 106*t - 15 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1157\/3 or 387?\nAnswer: 387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.11 - 0.11. Let z = 260.4 + -255.4075. Let i = z - j. Round i to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 841 divided by 2.\nAnswer: 841\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169741?\nAnswer: 11, 13, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -207 + 414. Suppose u = -0*w + 2*w - 5*r, 0 = -w + r + 108. Is 16 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 230 = -9*y + 58*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 + 63 - 30 - 57*y - 14*y**2 - 40.\nAnswer: -12*y**2 - 57*y - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1152)*-1 + sqrt(1152))\/(sqrt(72)\/sqrt(48)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - 1\/(-4))*4. Let v(a) be the second derivative of a**4\/4 + 7*a**3\/6 - 9*a**2\/2 - 2*a. Is v(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 1:05 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -a - 2, 27 = -4*a - q - 1. Calculate the remainder when 6 is divided by ((-27)\/a - 3)\/(2\/4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 54 = -3*w. Suppose 0 = 5*q + w, q = -5*v + 59 + 108. Let t = -7 + v. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 788271094?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2185\/50 - 3\/(-10). Is u greater than or equal to 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -0.988921.\nAnswer: 2.011079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pjjpjjjjjjj. Give prob of sequence jjpj.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 3:50 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4))**(-19\/2)\/((t**(1\/6)\/t)\/(((t\/(t*t\/t**0))\/t)\/t)) assuming t is positive.\nAnswer: t**(215\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**4\/12 - m**3 + 4*m**2 + 10*m. Let i = -9 + 15. List the prime factors of c(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**2 + 31*a - 172. Give s(7).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 - 163 - 11665*i + 11665*i + i**3)*(6 - 4 - 3).\nAnswer: -i**3 + 2*i**2 + 163","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u + 2. Let x(j) = j. Let p(v) = r(v) + 3*x(v). Let s be 0 + (1 + 0 - 1). Give p(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8 + -1. What is the closest to z in 1, 3, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -15*h + 9. Suppose 3*y + 33 = -4*a, 28 = -3*a - 0*y + y. Let g(s) = 8*s - 5. Give a*g(f) - 5*m(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000018586 rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -546*j**5 + 523*j**5 + 295*j**5 + (-3 - 2 + 4)*(0*j**5 + j**5 - 3*j**5) + 8*j**5 - 2*j**2 - 2*j**5 - 8*j**5 + 3*j**4.\nAnswer: 272*j**5 + 3*j**4 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1143, -1172, -1245, -1386, -1619, -1968, -2457?\n\"Answer: -4*c**3 + 2*c**2 - 7*c - 1134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 296, 398, 364, 194, -112?\n\"Answer: -68*o**2 + 306*o + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f*v**4 - 2*f*v**3 - 28161*f + 651923*v + 9 wrt v.\nAnswer: 8*f*v**3 - 6*f*v**2 + 651923","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tpjy when four letters picked without replacement from {j: 2, p: 1, t: 1, y: 2, s: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*j - 196*j = -3*r - 3, -r = -j - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 1. Let s(c) = 6*c**3 - c + 8. Calculate -2*s(u) + 6*w(u).\nAnswer: -6*u**3 + 2*u - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 7 (b) -2\/3 (c) -1\/8 (d) 4 (e) 0.0466 (f) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 2. Suppose 46 - 16 = 2*t + g*w, w - 38 = -3*t. Solve 3*z + 3*x = t, z + 3*z - x - 21 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1488818787 to the nearest integer?\nAnswer: 38585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 208715 times -0.2\nAnswer: -41743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 0 - (4\/(-18) - (-208)\/(-36)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**3 - 3*w**3 - 2*w**3 - 9*w**3.\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 96\/(-5 + -3)*-187. Let d = -2242 + s. Let 3*m**d + 7\/2*m + 0 - 1\/2*m**3 = 0. What is m?\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 1 - (-1414)\/(-54). Let z = -17\/54 + y. Find the common denominator of z and 1623\/(-315) - (-4)\/14.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (61 - 43) + 0 + -2 + -1\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 0.037?\nAnswer: -0.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3792 and 3792?\nAnswer: 3792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e9 (base 16) to base 10.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5 = -3*g, 4*m + 10 = -3*g + 5*g. Solve -5*s - g = -2*u - 3, 4*u = -2*s - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (486\/63)\/((-2)\/(-28)). Suppose 2*o - 46 - k = 0. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2822 or 2824?\nAnswer: 2822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 7*t**2 - 5*t - 6. Let h(l) = -l - 1. Let x(d) = -6*h(d) + w(d). Determine x(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3794, 3730, 3680, 3650, 3646, 3674, 3740?\n\"Answer: f**3 + f**2 - 74*f + 3866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 0 + 2 - q + 8*q**3 - 6 - 2*q + 3*q**2. Let t(n) = 9*n**3 + 4*n**2 - 4*n - 5. Suppose s + 7 + 0 = -2*f, 2*s - 2*f = -2. What is s*t(u) + 4*i(u)?\nAnswer: 5*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 7 (b) 3\/2 (c) 4\/7 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**7\/70 + 53*l**6\/24 + 58*l**4\/3 - l**3\/2 - 4*l**2 + l - 6. Find the second derivative of a(o) wrt o.\nAnswer: 36*o**2 + 1590*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9841946927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w - 1 + 1 + (-2 + 3 - 2)*(-w + 3*w + 0*w) + 6*w + 4*w - 5*w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-18)\/(-48))\/(27\/(-84))*45\/210. Let m = 32 - 50. Let o = m + 73\/4. What is the second biggest value in -32, -2, o, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -438710.\nAnswer: -1\/43871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -283138559 or -283138558?\nAnswer: -283138559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -110, -461, -1072, -1961, -3146, -4645, -6476?\n\"Answer: -3*i**3 - 112*i**2 + 6*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1721*z**2 - 3*z + 5563?\nAnswer: -3442*z - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - b. Suppose -2*a = -9*a - 7. Let u(k) = -4*k**3 - 3*k**2 - 12*k. Let n(g) = a*u(g) + 3*c(g). Find the second derivative of n(z) wrt z.\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -56d90 + -156?\nAnswer: -56ee6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 284696, 569458, 854220, 1138982, 1423744?\n\"Answer: 284762*a - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xz when two letters picked without replacement from {z: 3, x: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s - 19 = 59. Find the third derivative of -49*n**6 + 6*n**2 - 48*n**s + 93*n**6 - 3*n**5 + 5*n**2 wrt n.\nAnswer: -480*n**3 - 180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 521567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -f + 12. What is the nearest to -0.2 in f, 0.4, 3\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 2*v**4 - v**3\/3 + v**2\/2 - v + 5. Suppose -17 = -3*y + 2*y - 4*c, 0 = 5*y - 4*c + 11. List the prime factors of o(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-52)\/(-39))\/(4\/36)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 48616970.\nAnswer: 145850910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -574*b - 4. Let n be k(4). What is n rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1668568\/3 smaller than 556190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o + o + 4*o**2)*(-41012 - 781*o**2 + 41012) as t*o**4 + u*o**3 + j*o**2 + q*o + s and give t.\nAnswer: -3124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (68\/4)\/(((-3)\/9)\/((-11)\/33)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 2\/5, -85?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j**2 - 11*j. Suppose -4*k - 4*c - 16 = 0, k + 3*c + 4 = -k. Let s = -36905 + 36908. Let x(h) = h**2 - 4*h. Calculate k*x(u) + s*z(u).\nAnswer: u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 55188 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -16477*a**3 + 12*a**2 - 8*a - 11. Let x be b(-3). Round x to the nearest ten thousand.\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3117330 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 y when two letters picked without replacement from {s: 2, b: 4, y: 1, r: 2, o: 1}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - 0 - 39*8\/24. Let s(u) = u**3 + 12*u**2 - 10*u - 12. Calculate s(i).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -16.8 (b) 3\/8 (c) -11\/7 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2 + 3 + 5*a**2 + 1 + a**3 + a - 3*a**2. Let s(g) = -4*g**3 - 9*g**2 - 3*g - 9. What is -9*l(k) - 2*s(k)?\nAnswer: -k**3 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*q = -33463, 9*u - 5*q = 14*u - 55795. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f - 57. Let x be v(-29). Which is the nearest to 1? (a) x (b) 0.04 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 take away 0.8?\nAnswer: 61.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -154?\nAnswer: 14c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154922?\nAnswer: 2, 71, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 w when two letters picked without replacement from nrwrwnfrrvnv?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -22245*l + 47456. Let p(u) = -2*u + 4. Calculate 35592*p(h) - 3*x(h).\nAnswer: -4449*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -50*n - 97. What is the hundreds digit of t(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (217*y + 210*y - 413*y)*(5*y - 5*y - 7*y).\nAnswer: -98*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/4803 and -20\/1107.\nAnswer: 1772307","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -10 + 14 - 70\/45. Which is the nearest to 0? (a) 0.5 (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9*(-1)\/((-3)\/2). Suppose 341 = 5*r - 4*v, 2*v + 2 + g = 0. Suppose -r = -0*o - 5*o. What is the greatest common factor of 91 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334*l = -469*l - 12848 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.5 + 3. Let y = 122\/5 + -24. Which is the closest to 0.1? (a) 0.5 (b) v (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1397 is divided by 698?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271551153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6254, -16696, -27138, -37580, -48022, -58464?\nAnswer: -68906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 61*o**3 + 2*o - 5. Let y(u) = 92*u**3 + 3*u - 7. What is -7*s(d) + 5*y(d)?\nAnswer: 33*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t**2 + 12*t**2 + 2*t + 7*t**2 - 13 + 0*t**2. Let x(u) = -8*u**2 - u + 7. Suppose 0 = -3438*n + 3445*n - 42. What is n*v(a) + 11*x(a)?\nAnswer: 2*a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2 + (5 + sqrt(20)\/sqrt(4))*-1)**2 - (-3*(2*sqrt(180) + 0))**2*4.\nAnswer: -25899 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7459?\nAnswer: 7459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6631 is divided by 6570?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 908378016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 12 = 2*d + 3*t, 5*d + 5*t = 25 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 18, 114, 274, 498, 786, 1138?\n\"Answer: 32*w**2 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 88886929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5374915732 and 316?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 2*x - 14, 11*n + 5*x = 13*n - 11. Let u(c) = -2*c**2 - 2*c + 3. Let y(z) = z**3 + 11*z**2 + 11*z - 14. Calculate n*y(l) - 11*u(l).\nAnswer: -2*l**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*k**3 - 5*k**3 + 3*k**3)*((0 - 2 + 0)*(-1 + 2 + 1) + 6 - 20 - 34) in the form x*k**2 + d*k**3 + l + m*k and give d.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25.9 + 29. Let w = o - 3. Let y = 22.535 + -22.582. Is w > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -6*p - 6. Let b(l) = -21*l - 21. Give 5*b(x) - 18*h(x).\nAnswer: 3*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/10)\/(6*5\/(-20)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 15*x**2 + 4. Let g(z) = 29*z**2 - 5*z + 20. Let b(q) = q**2 + q - 4. Let k(f) = -5*b(f) - g(f). Determine d(k(h)).\nAnswer: 17340*h**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -4\/3*x**3 + 0 - 1\/7*x**7 + 4\/15*x**6 - 2\/3*x**4 + 7\/10*x**5 + 0*x**2 - 2*x. Let r(d) = 0. Calculate d.\nAnswer: -1, -2\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s - 8 + 1 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1930371?\nAnswer: 3, 643457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = 2*c. Suppose 0 = c*q - 0*q - 226. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 21*s - 1691. Let k be u(80). Let g(l) = l**2 + 12*l + 19. Determine g(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -219700*w + 3570125 - 52*w**3 + 5070*w**2 + 1\/5*w**4.\nAnswer: (w - 65)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0292 times 10\nAnswer: 0.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2352?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -2. Let d = -0.9 + 0.6. What is the closest to 0 in t, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h + 60. Let x be y(16). Let i(m) be the third derivative of -m**5\/60 - m**4\/6 - 2*m**3\/3 - 11*m**2. What is i(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + (-2 - 1) + 39\/(-13) + 5?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8602 and 2992?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*k = 2. Let g = -5 + 5.5. What is the second biggest value in g, k, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - 10) + (12 - 0).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6890402323 to four decimal places.\nAnswer: 0.689","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15185\/4624 smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f**2 + 23*f**2 - 22*f**2.\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k**2 - 131*k - 8. Let o(a) = 2*a**2 - 2. Let q be -7 - (-3 - 1) - (-4 - 0). Let v(s) = q*r(s) - 2*o(s). What is the first derivative of v(y) wrt y?\nAnswer: 2*y - 131","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of 0*s + 5\/24*s**4 + 1\/15*s**5 + 0 - 2*s**2 - 1\/120*s**6 + 1\/2*s**3. Let p be w(5). Is p < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, -5, -761, -1 in descending order.\nAnswer: -1, -5, -48, -761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2976872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21002024831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 30401 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3525 + 5728?\nAnswer: 9253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15277185 to the power of 1\/3, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46 and 22701?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -842*s + 12304 = -834*s. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -250*v + 470*v + 4*v to q + g*v and give g.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 22*k**3 - 4*k + 4. Let n(f) = -66*f**3 + 11*f - 11. Suppose 24 = -5*j - j. Calculate j*n(a) - 11*x(a).\nAnswer: 22*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q + 10*q = 3*r + 19, 4*r + 2 = -2*q. Solve -r*s - 116 = -114 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 1. Let a(p) = 5*p**3 + 7*p**2 - 5. Determine -a(x) - 5*c(x).\nAnswer: -5*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 15*l. Let h(c) = -2*c**2 - 3*c - 3. Let f(g) = -4*g**2 - 5*g - 5. Let n = 54 - 48. Let w(k) = n*f(k) - 10*h(k). Determine j(w(t)).\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3300536 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -17*a**3 - 15*a**2 - 4*a + 2. Let n be z(-3). What is the highest common divisor of 26 and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b - 3. Let u be -3 + (4 - (0 - -8)). Determine o(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 10*y - 17. Let h be b(13). Let d be h - (4 - 4) - -3. Let j = 28 - d. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**(2\/7))*r\/(r\/(r\/(r*r**9*r*r))))**(-4\/5) assuming r is positive.\nAnswer: r**(316\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -10\/7 (b) 2\/5 (c) -3\/4 (d) -15436\/5 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 392 + -248. Let y = g - 142. Which is bigger: y or -70\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b**2 + 1580*b = 0. Calculate b.\nAnswer: 0, 316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(4345\/(-711)))\/((-3)\/100)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 805129.9ml to litres.\nAnswer: 805.1299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - f - 1 = 0, 5*b + 20 = 4*f - 2*f. Let i be 3*b*52\/(-24). What is the highest common factor of i and 130?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -14*b - 4. Let h be n(-4). Is (h\/(-6))\/((-2)\/3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 + 9*m - 13. Let u be n(-6). Solve 0 = u*g + 4*t + 25, 3*g - t - 1 = 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + (sqrt(98)*1)**2 + 1).\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 31237806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2848783295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + 3. Let m(g) = -272*g + 4660. Let o be m(17). Calculate the highest common factor of o and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.052 and -2540.86.\nAnswer: -132.12472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 95674357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/7 (b) -5 (c) 0.06 (d) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.053 - 156.947. Let r = i - -156.99999718. Round r to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 4.515309 decades?\nAnswer: 0.04515309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*f = 40, -f = a + f - 20. Suppose 0*b + 2*o + 142 = 3*b, -5*o = 5*b - 245. What is the highest common divisor of b and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 4:22 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2579*f*k**2 - 1780*f + 3 wrt k?\nAnswer: -5158*f*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 708402811 and 167.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*i + 207*i + 29613 = -280*i + 5962 for i.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 524*m = -39153 + 9729 - 15640 for m.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -12*(-13744)\/55104)*21\nAnswer: -6\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-842)\/(-18) + (-8)\/(-36). Suppose j = 5*i - 58. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 1)*(-10 - 6 - 26)*(2*y + y - 5*y) in the form w + r*y and give r.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 28429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 10961100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26\/5 + 29\/5. Let s be 29\/(-16)*(-4)\/(-3). Let c = -8\/3 - s. What is the closest to -1\/2 in f, 0.2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*x + 126*x + 144*x - 693*x + 150*x + 147*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + (-10)\/(-6)*414\/115. Let y = 29 + 4. Calculate the highest common factor of h and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -198 + (-6)\/18*0. Let p = v + 255. Does 21 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -4. Let c = 4 + d. Let n = 0.24 - 0.74. What is the nearest to -1\/4 in c, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(((w**(-11)\/w*w)\/w)\/w))\/w**(-11)*w*w\/(w**25*w)*w**(-1\/3) assuming w is positive.\nAnswer: w**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*c + 3*h + 1, 0 = 5*c + 5*h + 10. Let a = 24401\/8 + -3039. What is the common denominator of 144\/(-40) + c\/(-5) and a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*m + 2*m**3 + 6*m**3 - 54*m.\nAnswer: 8*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*m - 15*m - 2*m)*(-460*m**2 - 470*m**2 + 133*m**2) to i + q*m**2 + l*m + y*m**3 and give y.\nAnswer: 6376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*n + 31 + 53 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17784.282 months to decades.\nAnswer: 148.20235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**3 + 19*a**2 - 17*a - 14. What is the remainder when 308 is divided by k(8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1016524 is divided by 213.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -272\/5 - -54. Let u be 4\/10 - 156\/315. Is l smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 19 (b) -0.5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-2*(-4)\/(-12)). Suppose j*h + 5 = -h - i, -3*i - 15 = -4*h. Let 1\/4*d**2 + h*d + 0 - 1\/2*d**3 = 0. What is d?\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**2\/7 + 43856956*k\/7 + 240429073698242\/7 = 0.\nAnswer: -10964239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 150 = 19*u. Calculate the remainder when 35 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/7)*i**(-3))\/(i**(-1\/3)\/i**(-34)) assuming i is positive.\nAnswer: i**(-761\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tthaaphapa. Give prob of picking 2 t and 2 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y**2\/3 - 182*y\/3 + 22 = 0 for y.\nAnswer: 3\/8, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q + 1. Let r(w) = w**2 + 42*w - 19. Let y(t) = -15*p(t) - r(t). Suppose 0 = 2*j - 1 - 1. Let s = j + 5. What is y(s)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5934\/5 + -1186. Let j(a) be the first derivative of f*a**5 + 0*a + 0*a**3 + 8*a**2 - 11 - 3*a**4. What is q in j(q) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -25*u + 1. What is w(-1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1287441, 10299929, 34762393, 82399821, 160937201, 278099521?\n\"Answer: 1287498*p**3 + 2*p - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -21122111?\nAnswer: -21122102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001101110110001000110 - -101?\nAnswer: -101001101110110001000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -7. Let r = -0.54 + 3.14. Let c = r - 2.1. Sort f, c, -4 in decreasing order.\nAnswer: f, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 3270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r + 589. Give w(6).\nAnswer: 595","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -3*f + 4*q, 39*f - 37*f = -10*q + 14 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2302102203101 - 2?\nAnswer: 2302102203033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -150 + 161. Solve 4 = -2*s - 2*m, -4*s + w + 5 = -4*m for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 9*k**2 + 3. Let b be r(-9). Suppose u = 0, b*j - 2*u = j + 830. Suppose -15*q + 16*q = j. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l + l + 0*l + (0*l + 4*l - 2*l)*(3 - 7 + 2) - 5*l + 0*l + 3*l to the form m*l + s and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11766489 or 0.76?\nAnswer: 0.76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 9*h**3 + 5*h**2 - h - 3. Let p(v) = 19*v**3 + 9*v**2 - 3*v - 7. Suppose 2*g + 0 = 6. Let j(m) = g*p(m) - 7*a(m). Find f, given that j(f) = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1348*w + 92 = -1386*w - 60 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8032 + 135.8868. Let f = x - 136. Let h = 0.7228 - f. Round h to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/5, 2\/7, -0.65, -2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/3*(-24)\/18?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-1 + -1 + -4 + 34 + -31)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of q**3\/3 - 9*q. Let y(w) = 16*w. Calculate d(y(l)).\nAnswer: 32*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 509893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -39 - c**2 - 9 + 48. Let o(j) = -21*j. Let d(y) = 104*y. Let k(t) = -2*d(t) - 11*o(t). Give k(m(a)).\nAnswer: -23*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b84a64 (base 13) to base 5\nAnswer: 2101321041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/1759 in -8, 5\/6, -14, -0.2, -17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -3, 423, -15, -1, -5 in increasing order.\nAnswer: -15, -5, -4, -3, -2, -1, 423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 + 1118*w - 8816.\nAnswer: -2*(w - 551)*(w - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 1065.3?\nAnswer: -5326.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 12:41 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.245, -2\/17, 3089?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 2341 (c) -0.006 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6979 - 316.5406\nAnswer: 6662.4594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 46 or 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 5*w. Suppose 5*z + 5*t = t + 1042, w = -2*z + t + 409. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*o**3*q - 19236*o*q**2 - 6339348*q**2 wrt o?\nAnswer: 6*o**2*q - 19236*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3059837699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1652\/9 + 7337\/36. Let m = j - 20. Which is the smallest value? (a) -2 (b) -4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -58540165*k**6 + 31720*k**2 + k + 9?\nAnswer: -7024819800*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 860209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*a + 25 = -5*h + 22*a, 5*h + a + 25 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + -14. Let l = -12 - b. Suppose 0 = -5*i - 5*h + 10, -i - 5*h = 8 + l. Solve 0*d + 2*d + i = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35861.859 - 36195. Let c = l + 331.4. Let n = -1.6273 - c. Round n to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 2)*(4*a**4 - 3*a**4 + 2*a**4) - 7*a**4 - 2*a**4 + 10*a**4 in the form f*a**3 + c*a**2 + h*a**4 + y*a + u and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*t = -82, 5*t + 6 = -4. Let v be -2*(14342\/(-12) + (-30)\/l). Is (1 + v\/2)*14\/21 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46775 and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32343604157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**5\/9 - 3671*i**4\/9 + 88562*i**3\/9 - 436322*i**2\/9 - 1153009*i\/9 - 624455\/9 = 0. What is i?\nAnswer: -3695, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + -5 - (-1 + sqrt(637)))**2.\nAnswer: 16*sqrt(13) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-18)\/(1*(-4)\/306)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (666\/(-84))\/(-37)*-2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 8*c**2 + 1. Let k be d(-7). Let l be 10\/(-2 - (0 + -3)). Calculate the greatest common divisor of k and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -16*u**2 - 19*u**2 - 2*u**2 + 4*u**2. Let f(r) = 2*r. What is p(f(a))?\nAnswer: -132*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**13\/d*d*d)\/(d*d\/(d**(3\/14)*d))*(d*d**4\/d)\/d**(-4) assuming d is positive.\nAnswer: d**(311\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 10:36 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(133)\/sqrt(63).\nAnswer: sqrt(19)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 6*k**2 + 4*k - 3. Let x = -8 - -3. Determine n(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9154426553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -62521*h**2*j**2 - 2*h**2*j - h*j**2 - 219*h*j + h wrt j.\nAnswer: -125042*h**2 - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 670 - 672. What is the fourth smallest value in 2, a, 4, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-5719)\/(-86))\/((-1)\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -68, 2, -6, 3, 4 in descending order.\nAnswer: 4, 3, 2, -2, -6, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -3*i**7\/7 - 486*i**5\/5 + i**4\/4 + 5825*i**3\/3 + 3086. Find the third derivative of x(h) wrt h.\nAnswer: -360*h**3 - 11664*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2 - 15*z + 60. Determine o(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9947123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/607 + 616\/1821. Let s = -22\/3 - -6. Which is the second biggest value? (a) -5 (b) j (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23986?\nAnswer: 2, 67, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33037?\nAnswer: 33037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.6 and -0.112.\nAnswer: 0.1792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-4)*(-4)\/(-10). Let p = -3 - 7. Let r = 9 + p. Are r and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24)\/4 + 3\/3. Let l = p - -5. Solve l = -0*a + 2*a + 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -415?\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/2))**22\/((s**(3\/4)\/s)\/(s**3*s)) assuming s is positive.\nAnswer: s**(61\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*x + 5*g - 25 = 122*x, -3*g = -2*x. Solve -19*u - x*j = -18*u + 7, 3*j - 9 = 3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 23*f**3 + 4*f**2 + 21*f + 4. Let a(h) = 35*h**3 + 6*h**2 + 33*h + 7. Let q(n) = -5*a(n) + 8*c(n). Let o(m) = -m + 1. Give 3*o(b) + q(b).\nAnswer: 9*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 c when three letters picked without replacement from ggghcggcghhh?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5.03? (a) -3 (b) 24 (c) 20 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j = -12*j - 10. Suppose 5*t + 24 = -d, 0 = -t + 2*t + j*d. Which is the second smallest value? (a) 0.2 (b) 1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**33)**(4\/29)*(r**(-3\/2))**(-11) assuming r is positive.\nAnswer: r**(1221\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 - -23. Let w be ((-8)\/m)\/((-38)\/57). Calculate the remainder when (10\/(-5))\/w*25 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 15*b**4 - 1131*b**3 + 12870*b**2 - 25428*b + 8184 = 0.\nAnswer: 2\/5, 2, 11, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2.15 (b) -0.2 (c) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -748, -1497, -2248, -3001, -3756, -4513?\n\"Answer: -z**2 - 746*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 375215 less than -0.161?\nAnswer: -375215.161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 31331021 (base 5) to base 2\nAnswer: 111111110100001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37679 is divided by 12555.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**2 - 95*d - 612. Let t be m(34). Which is bigger: -3729\/10 or t?\nAnswer: -3729\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -4 (c) 0.1 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c - 4 + 4)*(-1196*c - 3760*c - 1019*c) to the form y*c + h*c**2 + u and give h.\nAnswer: -11950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 2745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44817788.\nAnswer: 2, 2887, 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 5*s - 13, j - 4 = 2*s for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 12:30 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*c + 241 - 73. Let h(z) = z**2 + 13*z - 16. Let b be h(c). Let i be 1\/4 - ((-30)\/8 - b). Solve i = j + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -5. Suppose -5 = -2*w - u, -x*w = 2*u + 1 - 9. Suppose 0 = -t - 2*z + 13, -t = -3*t + 3*z - w. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.8 * -1762.\nAnswer: 3171.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5*b + 26 = 0, -b = -2*f - 0*b + 8. Suppose -2*i = -u + 11, 0 = f*u + 2*i - 3 - 1. Suppose u*l = -3*k + l + 37, -2*l + 8 = 0. Is 4 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 3 (c) -4 (d) -0.0647999\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 9. Let r(j) = 2*j**3 + 3*j**2 - 4*j - 2. Let q be r(p). Let k = q + 19. Solve -2*c - 2 = k for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.631 - -1.031. Let v = -0.76 - -0.9. Let z = v - 0.04. What is the nearest to -1 in b, 1\/4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 + 87. Let t = -7270 + 130799\/18. Find the common denominator of (p\/(-12))\/(14\/(-9)) and t.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -2*d + 2271, -63*d + 5687 = -58*d + 3*j. What is the remainder when d is divided by 90?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18345 or 126\/23?\nAnswer: 126\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v**3 - 33*v**2 + 85*v + 12. Let i(q) = q**3 + 11*q**2 - 28*q - 4. Suppose 48*g - 63*g + 30 = 0. Let u(j) = g*s(j) + 7*i(j). Determine u(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34771746 by -2.\nAnswer: 17385873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9389473 meters in nanometers?\nAnswer: 938947300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -7. Suppose -z*m + 2*m + 254 = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t - t + 0*t)*(7503 - 15015 + 7512 - 79596*t) to s*t + v + h*t**2 and give h.\nAnswer: 79596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 - 3*l - 3. Calculate b(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 + -15. Which is the nearest to 1? (a) 2\/19 (b) g (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b**2 + 2*b - 241. Let z(p) = -2*p + 245. Determine -4*m(q) - 3*z(q).\nAnswer: -20*q**2 - 2*q + 229","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 0*h**5 - 8\/7*h**7 + 1 + 0*h**3 + 0*h**6 - 6*h + 0*h**2 - 15\/4*h**4. What is the third derivative of c(o) wrt o?\nAnswer: -2880*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen tenths of a litre?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 9) in base 7?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2654002*n. Let c(u) = 15*u. Calculate y(c(g)).\nAnswer: 39810030*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 1569*s - 15584. Calculate r(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 14 + -19 + 30 - 67.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-476)\/442)\/((-6)\/(-39))*(-2 - (-18)\/21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -n**5\/60 + 5*n**2 - 17. Let m(y) be the second derivative of q(y). Let p(v) = -36*v**2. Give p(m(r)).\nAnswer: -36*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 8:20 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/24 and -47\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 8*u**2 + 8*u - 5. Let t be q(7). Suppose -t*o + 1 + 5 = 0. Suppose 18 + 36 = 4*n - 5*d, d + 35 = o*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*q + 222453 + 847152 = -125495. Calculate the highest common factor of q and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -15*b**2 + 3*b + 23. Let g be k(0). Solve -7 = -u, -4*u = 20*x - 21*x - g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 8*o**3 - 6*o + 6. Let f(n) = 7*n**3 - 7*n + 7. Calculate 6*f(h) - 7*t(h).\nAnswer: -14*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18325 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -139, -167, -233, -355, -551, -839, -1237, -1763?\n\"Answer: -3*k**3 - k**2 - 4*k - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k**2 - 14*k**2 - 4*k**3 + 6*k**2.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19e79 (base 15) to base 11.\nAnswer: -58344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of u**4\/4 + 2*u**3\/3 - 3*u**2\/2 + 4*u - 11. Let d be 26\/8 + (-3)\/12. Does 15 divide r(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-7) + 17\/(-14). Let w(h) = 2*h**2 - 62*h + 20. Let g be w(25). Let t = 2518\/9 + g. Which is the second smallest value? (a) 5 (b) 1 (c) t (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41610 and 13867530.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6715 divided by -1343\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 266549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 77326 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 50\/8 - 1\/4. Let q(z) = -4*z + 3*z + 10 + 3 - 3. Let j be q(5). Which is smaller: l or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1850*p + 1907*p - 95571 - 77251 = 0 for p.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 594624 and 17328?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -18*d**2 + 2*d - 2. Let w be y(2). Let p = 125 + w. What is the greatest common divisor of p and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43171811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d2 (base 14) in base 13?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 1.2, -11\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872)*-2 + -3 - sqrt(1872)) + sqrt(1872) + 2*(sqrt(1872)*2)**2.\nAnswer: -24*sqrt(13) + 14973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 447 + -419. Let r be -18 + -2 - (-4 + 1). Let z = r + 18. Calculate the smallest common multiple of z and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 34 (c) 1\/5 (d) -11\/4 (e) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 929 - 551. Suppose -117*q - a = -123*q. Calculate the remainder when 311 is divided by q.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 717.5711 centimeters?\nAnswer: 0.007175711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 3*i + 8. Let k(x) = -455*x + 5*x**2 + 904*x - 8 - 6*x**2 + 0*x**2 - 458*x. Calculate k(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - i. Let k(q) = q**2 - 2*q + 4. Let m(u) = k(u) + 2*v(u). Calculate the lowest common multiple of m(-3) and 1*(-4)\/(0 + -1).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/6)\/(13\/(-117))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**2 + 204*a - 3168 = 0. Calculate a.\nAnswer: 24, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3235*p**2 + 5834*p**2 - 1957*p**2 + 2016*p**2.\nAnswer: 9128*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 15 - 10. Let s(q) = q - 8*q**3 - 1 + 2*q**2 + 10*q**3 - 3*q. Let h be s(-2). Is a bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**2 - 108*j + 1458 = 0.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68884, 69111, 69350, 69607, 69888?\nAnswer: 70199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.1 + -12. What is the third smallest value in q, 1\/4, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30539 + -8195. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 28 = -11*h. Solve h - 1 = -t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from brrbs. Give prob of picking 1 b and 2 r.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -5*s**6\/12 + 3*s**5\/2 + 5*s**4\/8 - 5*s**3\/2 + 16. Find q, given that v(q) = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -9782*h**2 + 19565*h**2 - 9782*h**2. Let w(n) = -7197*n. Determine w(i(p)).\nAnswer: -7197*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 3:12 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*l**3 + 35*l**3 - 328*l**3 + 2*l**3.\nAnswer: -216*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.196 - 0.1124.\nAnswer: -0.3084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hvh when three letters picked without replacement from {y: 4, h: 3, v: 6}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*n. Suppose t + 27 = -l - 4*l, n = -5*l - 4*t - 33. What is the units digit of 5 - 1 - 5\/l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, 2, 4\/9, -0.04?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -65262?\nAnswer: -65265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/2*0)\/(-2). Let d(o) = -o**3 + o**2 + 26. What is the units digit of d(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-129)\/172 - 19\/(-4). Suppose -3*g + 6*g = 9. Solve -t + 14 = -g*q, -2*q = y*t + t - 2 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -3*w - 21, 4*w + 5*n - 4 = n. Let v(x) = -x**3 - 2*x**2 - 3*x. Let t be v(w). Solve j + j = 2*c - 4, t = -3*j - c for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4242 by 31.\nAnswer: 4242\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**3 - d**2 + 9*d - 7. Calculate s(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 736575742 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (994\/426)\/((-28)\/216) + 76?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3992016556 to the nearest integer?\nAnswer: 1586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 21 = t. Let b(r) = 4*r**3 - 2*r**2 + r - 1. Let j be b(t). Solve -5 = j*g - 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 s when two letters picked without replacement from hhyssyshhhiwshshh?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12672 + 12667. Which is the closest to 200? (a) 0.1 (b) -3 (c) y (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1645 and 9212.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -143, -296, -465, -656, -875?\n\"Answer: -b**3 - 2*b**2 - 140*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-4*(-4*sqrt(1458) + -5 + 3 + -5) + 2)**2.\nAnswer: 100224*sqrt(2) + 1496356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.24 - -0.16. Let n = 3 - u. Let r = -0.5975 + n. Round r to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 432\/20448*4\/3?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28886955 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 952 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 o when three letters picked without replacement from {j: 1, r: 7, o: 11}?\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 12:53 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -3*n**2 + 8342229*n - 133474896 = 0.\nAnswer: 16, 2780727","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 21*g - 281. Calculate c(48).\nAnswer: 727","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 160 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11296 + -33887\/3. Which is the closest to 1? (a) -1.9 (b) 8 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 q when three letters picked without replacement from {v: 2, z: 3, t: 10, q: 1}.\nAnswer: 9\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 480 + n**2 + 489 - 969. Let k(s) = -435*s - 155. Let m(a) = -31*a - 11. Let j(p) = 6*k(p) - 85*m(p). Give y(j(c)).\nAnswer: 625*c**2 + 250*c + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 936 != 84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**4\/6 - w**3\/2 - w**2. Let a be (-3)\/((-3)\/(-24)*-6). Does 13 divide p(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 30*h - 269. Let t be w(9). Which is smaller: t or -4\/179?\nAnswer: -4\/179","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 397.1788 days?\nAnswer: 571937.472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17491 + -17344. Solve 48*s - z = 27*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 857?\nAnswer: 854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -210 and 0.4605.\nAnswer: -209.5395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 3*w = 40*x - 38*x - 58, 537 = 15*x + 2*w + 2*w for x.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*(1 - 2 - 9) + -2. Let v be ((-378)\/7)\/((-6)\/6*-1). Is v less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 139611 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -470, 3, 1, -5, 9\/5, -1\/3 in decreasing order.\nAnswer: 24, 3, 9\/5, 1, -1\/3, -5, -470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**5\/5 - 184*t**4\/5 + 2008*t**3\/5 - 3264*t**2\/5 = 0 for t.\nAnswer: -102, 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -5*z**2 + 70*z. Let h(n) = -9*n**2 + 139*n. Calculate 5*d(w) - 3*h(w).\nAnswer: 2*w**2 - 67*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58 - 29 - 30 + 5*m**2 + (-m + 2 - 2)*(1 + m - 1) - m**2 - 3 + 3 to q*m + t + u*m**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16*c**3*u + 2*c**3*v + c*v - u*v + 131*u wrt c?\nAnswer: 48*c**2*u + 6*c**2*v + v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 60593 * 0.8.\nAnswer: 48474.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -5*w - 2*s, -5*w + s = -s + 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58769997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1703 = -3*f + 2*f. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 142 and 21797.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -12*b**2 + 415*b + 679. Calculate z(16).\nAnswer: 4247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2922821.\nAnswer: 11, 265711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 > 126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -167, -353, -655, -1067, -1583, -2197, -2903, -3695?\n\"Answer: u**3 - 64*u**2 - u - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 667161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 10*q**3\/3 + 4*q**2 - 3382*q + 4761. What is the derivative of l(d) wrt d?\nAnswer: 20*d + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.06 + 0.06. Let x be 312\/(-728) + 62\/14. Suppose 0 = x*k + 2*s - 30, 3*k + 5 = 29*s - 25*s. Which is the closest to 2\/7? (a) k (b) 4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, 11, -4, -9.\nAnswer: -9, -4, 11, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n*n**(-2))*n**(2\/13))\/((n**(3\/5)\/n)\/n*n\/n**(-7\/2)) assuming n is positive.\nAnswer: n**(7\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7, 31, 69, 121, 187, 267, 361?\n\"Answer: 7*u**2 + 3*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 8*k + 3. Let c be l(-6). Let u = c - -13. Find the third derivative of -3*y**2 + 2*y**4 + 2*y**u - 6*y**4 - y**4 wrt y.\nAnswer: -72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 63536036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 74660321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*r + 25*r - 127*r to c*r + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21 + 2 - (-18)\/(-10 - -4). Solve 219*n - 215*n = -d for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/60 and (6\/(-81))\/((-10)\/(-1005)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/(-35) + ((-205)\/(-25) - 8). Solve -27*t + 26*t + 1 = a for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/54*-2)\/((-3)\/42813). Suppose 0 = f + q - 4757, -f + j = -6*q + 11*q. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 + 31*u**2 - 240*u - 9792.\nAnswer: (u - 17)*(u + 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1.7549*0.143\nAnswer: 0.2509507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -72502 divided by -36251\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*m + 87 = 3*x, -5*x - m = -365. Let y = 4487 + -4412. Solve -9 = y*z - x*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4 = 4*p, -2*p + 4*z - 25 = p. Let v be 16\/(-132)*p\/(-2). Let i = 0 + 0.3. Sort i, v, -1 in descending order.\nAnswer: i, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 8 = 4*r. Which is smaller: 8 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 1.7, 0.4, 3 in ascending order.\nAnswer: -2\/3, 0.4, 1.7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kn when two letters picked without replacement from qqdqqqkmqddqnqdn?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 365066 and 84246?\nAnswer: 1095198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-2))\/(d\/d**14)*(d**3)**(-2\/53))**(-18) assuming d is positive.\nAnswer: d**(-15156\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.6344802 - -4.634. Round b to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-7) + ((-12)\/(-42))\/1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**3\/13 - 1564420*b**2 - 40674914*b\/13 - 20337456\/13 = 0.\nAnswer: -10168728, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15280?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1504 (base 15) to base 8.\nAnswer: 10630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110 (base 2) to base 14.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3052986 and -2.7.\nAnswer: -3.0052986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 6*i - 60 = 0. Let u be (i\/20)\/(1\/(-5)). Let v = 12 + -11. Which is the smallest value? (a) v (b) u (c) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110212 + -21?\nAnswer: 110121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 12:28 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/55 and -19\/1988735?\nAnswer: 21876085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 17 = -6*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 183 - 332. Let q = 83 + a. Let s be q\/(-4)*(-8)\/12. Which is greater: s or -12?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(144)\/sqrt(3)*-3.\nAnswer: -12*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5334143093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114618?\nAnswer: 2, 3, 7, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 - 11. Suppose -r = 2*r - w. Suppose 0 = 5*y + r - 26. Solve 0 = y*t - 12 + 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.054, 0.5, -69\/5?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-17 - 1)*(-6)\/9. Solve -c*q + 7*q = 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from brdlrbldvvdrldldld. Give prob of picking 1 d, 2 l, and 1 r.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 720*n + 50*n = -486*n + 94200 for n.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -115787 (base 11) in base 14?\nAnswer: -4ab21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**5\/2 - 3*r**4\/2 + 39*r**3\/2 + 3*r**2\/2 - 72*r + 54 = 0. Calculate r.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1107\/81)\/(2855\/(-1713))?\nAnswer: -41\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*h**2 - 180*h + 315 = 0. Calculate h.\nAnswer: 3, 21\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -105370.8753 from 491.847.\nAnswer: 105862.7223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43*t*w**3 + t*w + 18*t + w**3 + 545*w - 155064 wrt w.\nAnswer: -129*t*w**2 + t + 3*w**2 + 545","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44*q**5 - 170 + 170 + (6*q - 2*q - 2*q)*(5*q**3 - 5*q**3 + 2*q**4) + 2*q**5 + 2*q**5 - 3*q**5.\nAnswer: -39*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 14*t**2 + 35*t - 44. Let z be q(-10). Let k(u) = 6*u + 4. Let y(n) = 13*n + 7. Calculate z*y(d) - 10*k(d).\nAnswer: 18*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 - 25 = -44*r - 18 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 12*t - 8. Let i be t\/(-3) - 10\/(-15). Solve 0*q - 2*q = i for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -60\/13 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 50432\/1008 - (-1250)\/(-25)\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -121 (b) -1\/4 (c) -120\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) - 5*(3*sqrt(7) + sqrt(7))**2 - sqrt(343)*-1 - ((sqrt(112) - (sqrt(112) + 0)) + -5)**2*-5.\nAnswer: -435 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/6)\/((-10)\/(-60)). Differentiate 0*c + 3*c - 3 + 3*c**a - 3*c with respect to c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) -684 (c) -5 (d) -0.5 (e) 0.02 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4685*c**2. Let r(x) = -42*x**2 - 2*x. Calculate r(k(v)).\nAnswer: -921867450*v**4 - 9370*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -213 - 10?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14393 and 56980?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or 730\/37?\nAnswer: 730\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 124476440 divided by 2\nAnswer: 62238220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + k**2 + 1. Let l(u) = 3*u**3 + 10*u**2 + 4. Give -6*j(v) + l(v).\nAnswer: -3*v**3 + 4*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 6:43 AM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/6*10 - 3. Let d = 22 - f. Let a(t) = 2*t**2 - 10*t - 16. Calculate the lowest common multiple of d and a(-2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4460221, 8920504, 13380787?\n\"Answer: 4460283*y - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a week in seconds?\nAnswer: 67200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 46.82635ml?\nAnswer: 0.04682635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 - 0)\/(2430\/(-110) - -22). What is the highest common divisor of 1265 and u?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 118 and 81538.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + 20. Let o be y(15). Let t(v) = -v**3 - 4*v**2 - 2*v + 2. Let l be t(-3). Put l, -8, 1, o in decreasing order.\nAnswer: o, 1, l, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -175147.0000092593 - -175147. What is h rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/15*3)\/((11\/30)\/((-220)\/(-40))).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-21)\/(-5))\/((-3)\/(-15)). Let p(l) = -l**2 + 10*l - 2. Let x be p(8). Suppose -c - x = -3*c. What is the highest common factor of c and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-77 - -101) + -68 - -11?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*w**4 - 219*w**3 + 105 wrt w?\nAnswer: 8*w**3 - 657*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*a*j*y + 82*a*j - 5*a*y - j*y**2 wrt y?\nAnswer: 3*a*j - 5*a - 2*j*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 7*j**4\/4 - 55*j**2 + 86*j. Differentiate x(v) wrt v.\nAnswer: 42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -318095, -636170, -954211, -1272206, -1590143, -1908010, -2225795?\n\"Answer: 2*t**3 + 5*t**2 - 318104*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 105 - -12. Let f(k) = -8*k + 0*k**2 + n + k**2 - 2*k**2 - k - 114. Determine f(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -6 + 4*d + 0*d + 0*d**2 + 3*d**2 + d**3 + 3*d**2. Let i be m(-5). Let j be (-2 - (1 - -2))*i. Solve -4*n - j = -1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - -2. Let b be (q\/8)\/(4\/448). Suppose -4*g + b = 16. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3678.81826 to the nearest integer.\nAnswer: -3679","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 940*y + 1904*y - 965*y + 11.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5560136 + 2860114 = 309*v. What are the prime factors of v?\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7*2 + (-6)\/3. Suppose 0 = y - 4*y + n. Is 4 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243332247.\nAnswer: 3, 103, 787483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 10:15 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14944753 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - c - 2*c)*(0*c + 0*c + 2*c**2) + (-c**2 + 7*c - 7*c)*(c - 3 + 3).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 5*v**2 + 2615*v - 15870 = 0?\nAnswer: -529, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.60627 + 8.672. What is g rounded to 3 decimal places?\nAnswer: 0.066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/520 (b) -2.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 10) in base 13?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 1164*v**3 - 2186*v**2. Let a(r) = -3*r**3 - r**2. Let y(b) = 5*a(b) + i(b). Find the third derivative of y(w) wrt w.\nAnswer: 6894","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 10.021926.\nAnswer: 50.10963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 243411244 (base 5) in base 16?\nAnswer: 119b9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6624 divided by 2\nAnswer: -3312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 9, 6, -0.4, -1\/10, -5, 1\/19?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60858 and 216.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**3 + 4*o**2 - 4*o - 28. Let l(f) = -3*f**3 + 7*f**2 - 7*f - 56. Let p(i) = -3*l(i) + 5*n(i). Let u be p(0). Solve -12 = -4*c - u for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -134.538552 to 2 dps.\nAnswer: -134.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*h**2 + 1 + h + 2*h**3 - 22*h**2 - 11*h**4 - h**4 to the form d*h**3 + q + n*h + b*h**4 + r*h**2 and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 9*k + 9. What is x(11)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 686?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/3208, 2, 12, -13 in decreasing order.\nAnswer: 12, 2, -11\/3208, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-21)\/(-2)*(-108)\/(-21). Suppose 4*y - v = -14. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q**2 - 6*q. Let i be a(4). Suppose 2*n + i = 7*n. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66066, -132134, -198202, -264270, -330338, -396406?\nAnswer: -462474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j**(-2\/11)*j)\/j)**(-29)\/(j**13)**(9\/4) assuming j is positive.\nAnswer: j**(-2331\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 2*a - 6*a + (5*a + a - 4*a)*(-3 + 1 + 1) - 2*a + 4 - 4)*(-3 + 1 + 1).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2004999 and 8.\nAnswer: -16039992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -783.\nAnswer: -5\/783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + 2*w**2 + 0*w**2)*(-w**2 - 2*w**2 + 2*w**2).\nAnswer: -3*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1379 + -1379.04. Which is the closest to g? (a) 3\/4 (b) 0 (c) 0.6 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4553151 + -26?\nAnswer: 4553122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/2 + (1 - 1). Let f = 4 - 4. Suppose f = o*m + 2*p - 6, -5*m + 3*m + 5*p + 34 = 0. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*k - 15 = 29*k. Let b = -4 + 2. Sort k, -3, b in decreasing order.\nAnswer: b, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -352.4 - 1.6. Let l = 355.5 + p. Which is the second biggest value? (a) -5 (b) -2\/17 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35553 less than or equal to 959917\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 + 2*u + 4. Suppose j = 4*j. Let g = 3 - j. Determine m(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 656871.\nAnswer: 3, 347, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59 - -63. Let v be 197335\/(-252) + (-1)\/(14\/o). Let x = 783 + v. What is the common denominator of 95\/12 and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) -1 (c) 1\/4 (d) 4 (e) -2245\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gwggamwgg. What is prob of picking 3 g?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9932 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*a*t**5 - 4*a*t**3 - a*t**2 - t**2 + 15*t wrt t.\nAnswer: 1440*a*t**2 - 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 + 30470*q - 232105225.\nAnswer: -(q - 15235)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 97339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -0*p - 3*p - 15, 5*p + 17 = 3*q. Put -32, q, -10 in descending order.\nAnswer: q, -10, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**3 - 6625*w**2 - 12154065*w - 3850611435 = 0. Calculate w.\nAnswer: -561, 2447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0021661 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3 - 7. Let r = 5 + 10. Let d be 9\/((-135)\/(-6)) - 6\/r. Solve d*u - v*u = 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) 0.1 (c) -0.4 (d) 2\/1229 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -21, -56319 in descending order.\nAnswer: 5, -21, -56319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 311973, 623963, 935953, 1247943, 1559933?\n\"Answer: 311990*t - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*d = s + 17, 3*d = s + 13. Find x, given that -4*x**3 + x + 3*x + 2*x**s + 0*x**3 - 2*x**4 + 0*x**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 4*f - z - 70, 3*f - 5*z = 214. List the prime factors of f.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 4*f - 6*f = -36 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 513950 and 304.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00015169 to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (250 + -258)*(-6)\/6. Suppose d = n - 1 + 5, -2*d = -4*n - 6. Sort g, n, -1 in decreasing order.\nAnswer: g, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2. Let p(h) = 271*h - 2804. What is p(b(l))?\nAnswer: 542*l**2 - 2804","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36777 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84 and 7.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 4*o**2 - 2*o + 4. Suppose -4*t + 45 = 5*z, -3*t = z - 8 - 12. Suppose -3*m - 6 = -4*m - 2*x, -25 = z*m - x. Calculate s(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a**3 + a - 2*a - 39 + 37 to c*a + x*a**3 + k*a**2 + v and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -425, -1502, -3325, -5918, -9305, -13510, -18557?\n\"Answer: -4*b**3 - 349*b**2 - 2*b - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 13*n**3 + 156*n**2 + 29*n + 16. Let o be p(-12). Let t = -1045 + 713. Is t equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -188.61 - -188.609970021. Round m to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 125\/10 - 3 - 3\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 668\/20 + 2\/(-5). Suppose 3*a - 206 = -2*p, 2*a - 159 = 6*p - 3*p. Let b = a - r. What are the prime factors of b?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 720600, 1440979, 2161358, 2881737, 3602116, 4322495?\n\"Answer: 720379*y + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 25) + 2 + -9 + 7. Let f be 1\/(-2)*((-20)\/x)\/2. Put f, -0.3, -15 in descending order.\nAnswer: f, -0.3, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -161.8 - -168. Let q = f + -6.2. Let a = -4.2 + -0.8. What is the second biggest value in a, -0.3, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7543199 to the power of 1\/3, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/5 - 512*m\/5 + 514\/5.\nAnswer: -2*(m - 1)*(m + 257)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -696.8 + 698.8. Let s be 0 - ((-10)\/(-45))\/(6\/63). Which is the smallest value? (a) n (b) s (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 359981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 8*m + 149. Let b(h) = 4*h + 74. Let d(x) = -6*a(x) + 11*b(x). What is d(-21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18214 - -18312. Let p = 24 + 1. What is the remainder when t is divided by p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51 (base 6) to base 12\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14020 and 78512?\nAnswer: 392560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d*l**2*q**2 - 10*d*l**2*q + 3*d*l*q**2 + 46*d*q**3 + 2*l**2*q**3 + 3*l*q**2 wrt q?\nAnswer: 276*d + 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aval when four letters picked without replacement from {a: 4, v: 1, z: 1, i: 1, l: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 35*w - 999. Let l be c(29). Is l greater than or equal to -161\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -33414421?\nAnswer: 33414414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 5 = 89. Let f be (-57)\/d - -3*(-2)\/8. Solve f = j - 2*j + q, -7 = 2*j - q for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 6*u + 10. Let r = 1468 - 1462. Let o(q) = 3*q**2 + 17*q - 29. Determine r*o(k) + 17*a(k).\nAnswer: k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/36)\/(572\/(-1848))?\nAnswer: 21\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 448378298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -16. What is the remainder when 16 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-25764)\/1695)\/(((-8)\/12)\/((-5)\/(-3)))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -669 or -2003\/3?\nAnswer: -669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/27720 and 193\/3682140.\nAnswer: 22092840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 40*p**3 - 3*p + 7. Let l be z(2). Let a = l - 226. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6270)\/12)\/(-11))\/(210\/84).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 70 - 63. Let h = 7 - q. Solve h - 1 = m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 9. Let m(u) be the second derivative of u**3\/6 + 3*u**2\/2 + u. Let d be m(a). Let v(k) = 2*k - 2. Give v(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3876*j + 2709828 - 2709828 - j**2.\nAnswer: -j**2 - 3876*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6*(-77)\/110*-5 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**(2\/9)*m**(1\/7))\/(m\/(m*m**(1\/3)))**(-50))\/((((m*m\/(m*m*m**(-3\/16)\/m))\/m)\/m)\/(m**(-2\/5)*m))**(6\/17) assuming m is positive.\nAnswer: m**(-610363\/42840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/2 = -1570?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*w - 2*w**2 - 1 + 10*w)*(5*w + w**2 - 5*w) as y*w**4 + q + x*w**3 + d*w + g*w**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 3406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 19 + 9 = 0. Suppose 21*g + 471 = 366. Which is the closest to -1\/2? (a) u (b) 1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11200*k**2 - 8*k**4 - 14 + 11206*k**2 - 28*k**3 - 28*k**3 + 40*k = 0. What is k?\nAnswer: -7, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 7*h**2 - 56*h**2 + 2 - 20*h**2 to the form l*h + w + i*h**2 and give i.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/6708 and 97\/134?\nAnswer: 449436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 122 - 246 + 124 - 950*b - 783*b as u + h*b and give h.\nAnswer: -1733","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -0.4 (c) 0.5 (d) -130 (e) 0 (f) -0.09 (g) 41\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-286)\/(-130) + (-1)\/5. Suppose 2*s = -p + 1, -3*s + 0*p = r*p. Suppose -2*i - 4*d + 564 = s*i, 0 = i + 2*d - 141. What are the prime factors of i?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v + 8214 = 47*v. Is 37 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*d - d + 312 = 0. Calculate the highest common factor of d and 637.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8523658, 8523659, 8523660, 8523661?\n\"Answer: x + 8523657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, j: 1, a: 2, q: 1}. What is prob of sequence ja?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 85 = p - 124, 5*p + 3*d + 39 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/((c\/(c\/((c*(c**(1\/5)\/c)\/c*c)\/c)*c))\/c*c)*c)**(-2\/33)*c**(4\/7)*c*c\/((c**(-19)\/c*c)\/c)*c assuming c is positive.\nAnswer: c**(8963\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 645613.3185 and 3.176?\nAnswer: 645610.1425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 928*m**2 + 1538*m**2 - 453*m**2 + 1216*m**2 - 285*m**2. Let b(l) = -l. Give b(i(o)).\nAnswer: -2944*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus -3865.6?\nAnswer: 3869.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a century in months?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -10*c - 4. Let u(q) = -3*q - 1. Calculate 2*n(v) - 7*u(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -93 + 108. Calculate the remainder when z is divided by (-16)\/(-2 - 0)*1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -6*a + 27. Suppose -2*g + 148 = -g - 3*p, -a*p - 438 = -3*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -251 divided by 29\nAnswer: -251\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 5 - (-1 - -1) - 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-4)\/(-12) + -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -65\/28474 or 0?\nAnswer: -65\/28474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -30530 divided by -142?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -480883, -961767, -1442651, -1923535, -2404419?\n\"Answer: -480884*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0567 + -0.4567. What is the third biggest value in 4, -1\/6, -143, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 545, 4611, 15709, 37355, 73065, 126355, 200741?\nAnswer: 299739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w*w**12*w)*w\/w**(-3\/2)*w**11\/((w*w**10)\/w))**(-5\/9) assuming w is positive.\nAnswer: w**(85\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 3*y - 9, 2*b - 12 = -2*b - 4*y. Solve -10*m - 38 - 2 = b for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 5*a**2 + 10*a**3 - 5*a**2 - 14 - a**2 + 27 to k*a**3 + f*a + o*a**2 + w and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.028, 781, 0, 2\/21?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -83 + 58. Let j = 25.0000136 + d. What is j rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n - 3. Let k(t) = -19*t - 17. Determine -6*k(b) + 34*p(b).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d**3 - d**3 - d**3 + (2*d**3 - 1 + 1 + 0*d**3 - 2*d**3 + 0*d**3 - 3*d**3 - d**3 + 3*d**3 + (3*d + 3*d - 2*d)*(-2 + 2 - 2*d**2))*(17 + 2 + 4).\nAnswer: -205*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 44090791?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 48691 times 0.1\nAnswer: 4869.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 6396?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 43212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 10:43 PM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1554 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c54 + -3?\nAnswer: -c57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -6 - 7*g - 3*g + 1 + 11*g. Let n be s(12). Let t(r) = -r**3 + 8*r**2 - 6*r - 3. Give t(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/(-11))\/(2\/4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -6*i**2. Let d(j) = -7*j**2 - 5*j. Let c(l) = 20*l**2 + 14*l. Let u(v) = -5*c(v) - 14*d(v). Calculate u(g(p)).\nAnswer: -72*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(25\/30 - 1). Let f be (-5)\/7 + (-9)\/(-21). Which is the closest to 2? (a) f (b) -0.2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1006 + -1002. What is the biggest value in -0.12, -1\/9, 0.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41.5 + 41.4999477. What is w rounded to 6 decimal places?\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.17614 to 2 decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44*z**5 - 12*z**4 + 7*z**3 - 163593*z**2 wrt z?\nAnswer: 2640*z**2 - 288*z + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -6*g + g - o, 3*g = 2*o + 6. Let y be (-11*1)\/(g - 1). Let p = y - -10. What is the greatest common factor of 147 and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4954.847 micrograms in tonnes?\nAnswer: 0.000000004954847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.428 times -113.3?\nAnswer: -48.4924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 7:19 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 949741*v - 474872*v - 474870*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 573\/5 - 114. Put -24, d, 0.1, 0.5 in decreasing order.\nAnswer: d, 0.5, 0.1, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 0. Let a = -54933\/1505 - -1\/3010. What is the common denominator of -1 - -28 - z\/(-2) and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*k**3 - 55*k**3 - 72*k**3 + 177*k**3.\nAnswer: -18*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0*i = -2*y + 70, 168 = 4*y - i. Let s(o) = -9 - o - 3*o - 2*o + 2*o. Calculate the remainder when y is divided by s(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 12) + 7 + 2 - 92 - (140 - 125)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*r = 156*r - 27 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -778\/91, 0, 2\/11?\nAnswer: -778\/91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-5)\/(-9))\/(37\/(3996\/(-90))))\/(22\/54)?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 5*p**2 + 5*p - 5. Let z be s(-6). Suppose -4 = 38*r - 42*r. Is z <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, v: 8, u: 2, p: 1, r: 4}. What is prob of picking 1 p and 1 v?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (45\/60 - (-17)\/(-28))*4. What is the nearest to 2\/7 in d, -1, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 695209 and 32023?\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 414*g**2 + 2*g**4 - 100*g**2 + 4*g**4 - 61*g - 80*g**3 - 251*g + 72 = 0. Calculate g.\nAnswer: 1\/3, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -11*p**3\/6 + 7*p**2 - 13*p. Let z be g(-26). Suppose 3*b = -0*b + z. Calculate the remainder when b is divided by 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54 + -44. Suppose j = 3*u + 22. Is 19 a factor of (5415\/(-38))\/(3\/u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of 7*h**2 + 5*h - 3. Differentiate m(y) with respect to y.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.3, -24, 15, -3\/2281, -2, -1?\nAnswer: -3\/2281","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/1548 and 97\/4644.\nAnswer: 4644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4 + 6*m - 4 - 7*m. Let i(q) = -12*q. Calculate -i(g) + 18*k(g).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 31.08527 - -0.106453\nAnswer: 31.191723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h**2 + 4*h + 14. Does 20 divide k(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -126 - -1517?\nAnswer: 1381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-2 + 2 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6.136618 kilometers?\nAnswer: 613661.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m + 17 = -75 + 15 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 24, -4, -5\/6, -26, -2\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-15\/2)\/(v\/v**(1\/4)))\/(v**(-8)*v*v)**(-4\/23))**(-1\/10) assuming v is positive.\nAnswer: v**(171\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/19))**46 assuming d is positive.\nAnswer: d**(46\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -z + 9. Suppose 0 = -z*a + 383 + 152. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57004, -57012, -57036, -57088, -57180, -57324, -57532?\nAnswer: -57816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 12:21 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -15104 (base 10) to base 3\nAnswer: -202201102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 1112040.\nAnswer: 1112040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7606342601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - -1 - (2 + -8). Let n be x*(-1)\/5*104. Let a = -70 - n. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7837 divide 3137448902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -371, -464, -619, -836, -1115, -1456, -1859?\n\"Answer: -31*d**2 - 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**(-2)))**(-1\/2)*(n**(-2\/7))**(1\/26))\/(n\/(n\/(n**(-5)\/n))*n**(2\/5)*(n\/n**1)**(4\/17)) assuming n is positive.\nAnswer: n**(2998\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j**3 - 30*j - 3 - 7*j**3 - 2*j**2 - 13*j**4 + 31*j + 7*j**3 in the form s*j + b + n*j**4 + f*j**2 + o*j**3 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of z**3\/3 - 4*z**2 - 9*z + 26. What is u(8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)\/sqrt(4))\/sqrt(10))**2 - sqrt(240)\/sqrt(12).\nAnswer: -2*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l = 2*u - 14, -u + 69*l + 88*l + 107 = 133*l for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 282 or -1.7?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -11. Suppose 0 = -3*r + q*r - 68. List the prime factors of r.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 77 by 1.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 69\/2 of a microsecond?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - x = -2*x + 31, -5*x + 85 = 5*w. Suppose i - 4*s - w = 0, -12 = s + 3*s. Suppose -b + c + c = -13, -5*b - i*c + 113 = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.6, -1\/5, -2\/17, -17, -82.471 in ascending order.\nAnswer: -82.471, -17, -1\/5, -2\/17, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from skqksggugigq. Give prob of sequence gui.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8832116292315*g - 9*g**2 + 8832116292315*g + 2 - 2.\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-24)*(-222)\/(-44) + (-140)\/(-20)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30198 and 49?\nAnswer: 211386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3*sqrt(36)*-5 - (sqrt(576) + sqrt(576)*1))\/((sqrt(1764)*-5)\/sqrt(3)).\nAnswer: -23*sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/2 + (-18)\/4. Let f(h) = -109*h + 22 + 221*h - 120*h. What is the tens digit of f(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wpjpwwpww. What is prob of picking 3 w?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-2\/163))**(-15))**(-6\/11) assuming k is positive.\nAnswer: k**(1350\/163)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 3:09 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427139 is divided by 4270?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3636825?\nAnswer: 3, 5, 48491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((119\/(-68))\/(2*3\/3))\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, o: 4}. What is prob of picking 3 o and 1 q?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(3\/20))**(-3\/4) assuming j is positive.\nAnswer: j**(-51\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1278957846?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -5057*z**3 - 5057*z**3 + 4*z**2 + 1 - 5056*z**3 + 15174*z**3 - 2*z**2 - 4*z. Let b(r) = r**2 - r. Let c = -3 + 2. What is c*a(o) + 4*b(o)?\nAnswer: -4*o**3 + 2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**7*y**(3\/5))\/(y*y**(-3\/4)*y*y**(-7)) assuming y is positive.\nAnswer: y**(287\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*n - 5*n + 3*n)*(-4 + 5 - 3) - n - 2 + 2)*(2 + 5 - 16) + 41*n + 6 - 16*n - 7.\nAnswer: 52*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r - 1 = 12 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3*sqrt(10)\/sqrt(2) + 0 + sqrt(5) + sqrt(5) + (sqrt(5) - (sqrt(5) + -4)) - (-1 + sqrt(45)*6 + -4 + 1*sqrt(5)))**2.\nAnswer: -360*sqrt(5) + 2081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/(-145) - (-84)\/(-15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 0, -5, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*z = -14902 + 23197 - 13355 for z.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3\/5, 3\/2, -1 in increasing order.\nAnswer: -5, -1, -3\/5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 2 + 2*i - 2*i)*(5*i**2 - 1 + 1).\nAnswer: -10*i**3 - 10*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011110101111101001000 - 100?\nAnswer: 1011110101111101000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10504 or -10496?\nAnswer: -10496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*t - 238 = 0. Let u = t - -172. Let z = -33 + u. Is 7 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/8 + (-9)\/(-12). Let j = 7 - q. Solve 0 = -2*d + j + 4 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6081 - -6219. Calculate the highest common factor of 6 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 11*r**2 + 8*r + 31. Let d = 126 - 129. Let n(x) = -4*x**2 - 3*x - 10. Determine d*l(t) - 8*n(t).\nAnswer: -t**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**20*b)*b)\/(b**(2\/27)\/b*b)*b**(-14)\/b**(-17) assuming b is positive.\nAnswer: b**(619\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -36851*d + 36855*d - 5, -5*v = -25 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*h - 573 + 318 = 9*h for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 91774.\nAnswer: 7\/91774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (0 - (-144)\/(-66))*6\/9 and -101\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*2841.\nAnswer: -284.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*l = -5*z + 125244, -z + 4*l = -25038. Let b = z + 57352. Suppose 4*g = -3*v + 5*v - b, -2*g - 41199 = v. Round g to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7691 - 5754. Calculate 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 the cube root of 13096 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -208 * 16250\nAnswer: -3380000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/132)\/(6\/(-8)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*s**3 - 60*s**3 + 29*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 629 and 6253?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czc when three letters picked without replacement from ccczzc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 195731.2 times -0.075?\nAnswer: -14679.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-4)*1*1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 + 57. Let o(l) = 3*l**2 + l + 1. Let p be o(4). Let q = p - y. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 26.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (62\/(-303))\/((-722883)\/10179 + 71) + 4*-3?\nAnswer: -3\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 32.70501 millilitres?\nAnswer: 0.03270501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.6, 0.17, -6, -1\/48, -0.105?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(315) - (sqrt(315) + sqrt(315)*-1))*3)\/(sqrt(1089)*-1))\/(-2*-3*sqrt(125)*5).\nAnswer: -sqrt(7)\/550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 9*z - 14*z - 12*r, -2*z - 4*r + 211 = 225 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1018686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, 2\/3, -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 + -43. What is the second derivative of v*x + 9*x**3 - 9*x - 2*x - 6*x wrt x?\nAnswer: 54*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of b**3\/6 + b**2 + b. Let o be k(-2). Suppose o = 2*r + 2*r - 100. Is 18 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.94 and 0.6?\nAnswer: 5.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 + 34.8. Let o = r - 0.8. Let d = -711619 - -711618. Sort o, -11, d in ascending order.\nAnswer: -11, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/15)\/((-6)\/(-195)). Let z = -19 - d. Solve -2*s + 1 = -p, 0*s = -2*s - 5*p + z for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 3:30 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.8 (b) -4 (c) 3\/10 (d) -8\/45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 15476.\nAnswer: 108332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -981967*c**4 - 284*c**3 + 137503*c**2 - 59*c + 11 wrt c.\nAnswer: -23567208*c - 1704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0091987214 to four decimal places.\nAnswer: 0.0092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 0.126471308?\nAnswer: -0.0252942616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2957264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwrwrrwrrwwww. Give prob of sequence wwww.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 356669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41064 and 10620?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -2. Let m(r) = r**z + 1 - 1 + r**2. Let y(a) = 0*a**2 + 7*a**2 - 3*a**2. Determine y(m(c)).\nAnswer: 16*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 40, 4 in decreasing order.\nAnswer: 40, 4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - (70594\/423)\/(1702\/51). Which is bigger: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -2*j + 62. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 + 11*r + 11. Let m(h) = 5*h - 4*h**2 + 3*h**2 - 12 + 6 + 11. Let g(l) = 7*l + 1. Let u be g(-2). Calculate u*m(v) + 6*n(v).\nAnswer: v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -2*d - 34, 6*d + 58 = 5*y + 3*d. Suppose -13*x + 55 = -y*x. Let q = 14 - x. Does 23 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + u + 139 = 151, o = -3*u + 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 7*n = 5*g - 10, -2 = -2*g. Suppose 0 = -n*v + d + 2153, -8*v + 6*v + 869 = -3*d. Is 32 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 8, -10, 60, -7 in descending order.\nAnswer: 60, 8, 5, -5, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -5*o + 10*o - 108, 5*h + o = 247. Calculate the smallest common multiple of h and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*x = -x + 164 - 38 + 930 for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 14 - 6 = 0. Let k = -21 + c. Put -5, k, 3 in descending order.\nAnswer: 3, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (127\/20)\/((-108)\/(-45)) and 2*(0 - (-3 - 173\/(-20))).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-31)*h)\/h**(-8\/5))**(1\/48) assuming h is positive.\nAnswer: h**(-71\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1048 - -1053. Solve -11*z = -6*z - t for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4 = -2*l, 4*l - 4 = 4*m + 4. Let x(q) = 13*q**2 + 100*q - 6. Let d be x(-8). Suppose -l*t - d = -3*a, t - 2 = -3*a - 3*t. Solve 3*c - c = a for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k**2. Let g(z) = -10*z**2 + 432754*z. What is g(m(x))?\nAnswer: -160*x**4 + 1731016*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*-2*4\/(-16). Sort l, -2, 10 in increasing order.\nAnswer: -2, l, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -192 and 6072727?\nAnswer: -1165963584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1920)*-3 - sqrt(1920))*-1)\/(2*sqrt(486) - sqrt(486) - (sqrt(294) - (sqrt(294) - (sqrt(294)*2 + sqrt(294))))).\nAnswer: -8*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a*(a**(2\/7)\/a*a)\/a*a)*a*a*(a*a**(1\/5))\/a*a*a**0\/(a**4\/a) assuming a is positive.\nAnswer: a**(-3\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1112442 divided by -6\nAnswer: -185407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3030*k + 6*k**3 + 5*k**2 - 3*k**4 - 3026*k + 9087*k - 3033*k - 7 to u*k + i*k**4 + n + d*k**3 + o*k**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 1:27 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 9 = 3*y. Let m(s) = -s**y - 1 + 1. Let i = 18 - 18. Calculate m(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 576433485 + 135\nAnswer: 576433620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.035*-0.06\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 5*g**2 - 4. Does 8 divide u(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.2 - 2. Let s = -0.02 + -0.28. Let j = t + s. Is -2\/9 greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-5 - -4 - 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.024 and 66?\nAnswer: -1.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 4*h - 2. Let z(r) = r**3 - 2*r**2 - 2*r + 2. Let q be -1*6\/(-10)*5. Let p be z(q). Let u be i(p). Are 3 and u unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 20999, 41999, 62999, 83999, 104999, 125999?\n\"Answer: 21000*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 10*k - 7. Let x(f) = 29*f - 22. Let c(l) = -17*w(l) + 6*x(l). What is the first derivative of c(d) wrt d?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in 44, -2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - (-10 - -47) - 94.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 - 52. Let v be 1*(-1 + (-15)\/q). What is the third derivative of 11*x**6 + 13*x**6 - v*x**6 + 168*x**2 - 144*x**2 wrt x?\nAnswer: 2640*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-786)\/(-10) + (-4)\/(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -133157, -532682, -1198573, -2130830, -3329453, -4794442, -6525797?\n\"Answer: -133183*q**2 + 24*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from steetetsteseseebte. Give prob of picking 1 s and 1 e.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 b, and 1 p when four letters picked without replacement from rusprpvb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -116.9 to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 7006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 173039?\nAnswer: -3\/173039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**2\/21 + 9760*l - 1024850\/21 = 0.\nAnswer: -102485, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 3)*(2*i**2 - 5*i**2 + 5*i**2)*(-3575 + i + 7239 - 3617) to the form w + q*i**3 + v*i**2 + k*i and give v.\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5637 is divided by 297?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -83.\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 204576.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/14 + (66\/14 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 + 6. Suppose -h - 5*r = -b, 3*h + 2*h - 3*r - 55 = 0. What is the lowest common multiple of 34 and h?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 4*h**2 - 319*h + 14. Calculate g(-16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/6 (b) 2487 (c) 0 (d) -5 (e) 3.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 12:10 PM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 5:19 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 702994604*k**2 - 276818816 with respect to k.\nAnswer: 1405989208*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2669, 1\/3, -193?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, m: 5, b: 4}. Give prob of picking 1 b and 1 e.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 72369049*a**2 + 1939596*a + 12996 = 0.\nAnswer: -114\/8507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/((-20)\/(-16)) + (17 - -1). Which is greater: c or 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2596 in 2.29, 5, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 17 = -19. Suppose -42 = -5*q + a. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*x + 3565. Let t = -1824 + x. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 12*u**2 - 25. Calculate b(-12).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1303 - 1301. Let f = -2 + 2. Solve 0 = 4*a - m*z + 18, z + 4*z - 5 = f for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/9 (b) -1\/2 (c) -5\/3 (d) -27375 (e) 4 (f) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*h = -20090 + 23662 for h.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -42*r**3\/11 + 366644*r**2\/11 + 139680*r\/11.\nAnswer: -2*r*(r - 8730)*(21*r + 8)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/3 (b) -0.4 (c) -4 (d) 2\/13 (e) 5.8 (f) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l + 2*l**2 + 0*l - 2*l + 6*l**3 + 1 - 5 + 2*l**4.\nAnswer: 2*(l - 1)*(l + 1)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - 0. Let w = -0.11 + j. Which is the smallest value? (a) w (b) 1\/5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xrzzvzttprt. Give prob of picking 1 x and 1 t.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -34. Let r(d) = -19*d**2 + 20 + 9 + 405*d - 416*d + 18*d**2. Let y be r(s). Solve 6 = -2*f, -y*q + 3*f = -q - 17 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.91778 to two decimal places.\nAnswer: 2.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -516, -0.3, -1\/13 in ascending order.\nAnswer: -516, -0.3, -1\/13, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3754 - -3754.000062766. Round r to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**2 - 4*k + 3. Give u(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 24 = -8*c - 111 - 173, -5*c + 3*z = 165 for c.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, a: 2, x: 9, l: 1}. What is prob of picking 3 x?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*i + 137*i = 21 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8282176.\nAnswer: 2, 7, 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76265296 and 2144?\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 118*x. Let p(s) be the third derivative of -s**4\/12 - 1312*s**2 - 2. Determine l(p(o)).\nAnswer: -4*o**2 + 236*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 98.69?\nAnswer: 39.476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 204853 - 204840. Let a be (6\/(-8))\/((-2)\/16). Calculate the remainder when (-298)\/(-6) + 2\/a is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18263934 by 78.\nAnswer: -234153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -125.\nAnswer: 3\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -694*g = -717*g - 161 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) 2 (c) 0.2 (d) -0.071\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**4 + 145812*i**3 + 145816*i**2.\nAnswer: -4*i**2*(i - 36454)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence upep when four letters picked without replacement from eevqqpvmvveqqppvup.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -s**4\/24 + s**3\/3 + 45*s**2. Determine z(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78988.01 rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18151165969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 193575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 1 = -o + 4*h, -4*o + 3*h - 5 = 0. Let u = 5 - o. Suppose 7*i = -l + 2*i + 144005, 4 = u*i. What is l rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 x when two letters picked without replacement from {l: 4, b: 3, x: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q**2 - 5*q + 2. Let j(s) = -s**2 - 2*s + 1. Let p(n) = 20*n - 117. Let m be p(6). What is m*t(c) - 8*j(c)?\nAnswer: -c**2 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12922)\/(-2769)*(-4)\/(-70). Let n(k) be the third derivative of -v*k**5 + 0*k**4 + 0*k + 6*k**2 + 0 + 0*k**3. Let u(b) = -3*b**2. Give n(u(y)).\nAnswer: -144*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 429 and 3517943.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - l + 2. Let m be u(2). Let s be -2*2\/m + -17. Let t = -5 - s. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17044228 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 329 = 5. Suppose -m*l + 49*l + 75 = 0. Let f be (l - -5)\/5 - 0. Solve 5*u - 18 + f = -2*t, 4*u + 2 = 5*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.37 + -5.5. Which is the second biggest value? (a) g (b) 0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1169*p**3*z**3 + 12*p**3*z + p**3 - 195883*p*z**5 + 17*z - 10086 wrt z?\nAnswer: 7014*p**3*z - 3917660*p*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4708\/2 + (90\/75)\/(3\/(-20)). Calculate the highest common divisor of b and 414.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-34)\/(-3)*11\/(-198)*-27. What is the greatest common divisor of 578 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 374 and 476.\nAnswer: 5236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -488 - -712. Let o = p - 228. Which is the nearest to 0? (a) 0.4 (b) -21 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 3150.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66880?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 464912 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 8:17 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16541343?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/144969395 or 0?\nAnswer: -4\/144969395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 + (-3 + 1 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/6 (b) -1562522 (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3480*q + 128704. Give u(37).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c = -10*c. Suppose -a = -5*s - c*a + 499, -s = -5*a - 95. Does 37 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 410102 (base 5) to base 15.\nAnswer: 3d6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/((m*m**(-17)\/m)\/m))\/m**(9\/4))\/((m*m*m**5)\/((m*m**(-27)*m)\/m)))**25 assuming m is positive.\nAnswer: m**(-1625\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 634 = -l, 2*l = 4*l + v + 1268. Let k be l\/(-14) + (-2)\/7. Solve -k = -5*y + 5*n, 0*n - n - 19 = -3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 + -1)*323\/(-68). Let k = 16 + f. What is the closest to -0.3 in -3\/10, k, 4?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -81 + 81 + 56*d in the form z*d + u and give z.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 20*r**2 - 20*r + 33. What is the tens digit of i(-19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 994231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -112 + (-6612)\/(-58) - -10*2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 6.6. Which is the smallest value? (a) s (b) 1\/2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 674759.\nAnswer: 674759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0691 + -5.8591. Let p = 0.21 - c. Suppose 2*n + 2 = 0, -n + 0*n = 2*v - 9. What is the closest to p in 0.1, 1\/3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -j, s + 2*s - 200 = -5*j. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 9 (b) 3 (c) 2.3 (d) 4 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 62.46991 minutes?\nAnswer: 3748194.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-nine quarters of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/262161 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q - 5. Let p be n(-5). Let w(t) be the second derivative of t**5\/20 - t**4\/12 - t**3\/6 + 2*t**2 + 2*t. What is w(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -355 (base 6) to base 16\nAnswer: -8f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -9*b**5\/20 - 3*b**4\/4 + 8*b. Find the third derivative of w(u) wrt u.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**3 - 4*f**3 + 0*f**3 + 2*f + 0*f**4 - f**2 - 2*f**4 to the form w*f**2 + r*f**3 + i*f + j*f**4 + t and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 6*d - d + 2*d + 2 - 2 - 3 + 3 + d - 3*d - d + 2*d - 3 + 3 + d + (3*d - 3*d + 2*d)*(4 + 2 - 5))*(0 + 3 - 5).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 15 = 2*l - 3*l, l + 5*s = 21. Suppose -19*p + 246 = -l*p. Calculate the lowest common multiple of 5 and p.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48792 is divided by 2365?\nAnswer: 1492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - ((-4)\/20 + (-3)\/(-15)). Suppose -x - d*k = -23, -5*k - 11 = -1. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 750409749*n**2 - 1432518010 wrt n?\nAnswer: 1500819498*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 661?\nAnswer: -661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(147) + 0).\nAnswer: -35*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 5226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -7.9. Which is the nearest to 0.2? (a) i (b) 0.2 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 60037 = -4*x, 25*x - 28*x + 45025 = -h. Does 111 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 + b**3 + 2*b**4)*((4 + 3 - 5)*(34*b - 255*b - 333*b) - 2 + b + 2) - 3*b**3 + 3*b**3 - b**5 + (-1 + 2 - 2)*(0 + b**5 + 0) + 3*b**5 - 3*b**5 + b**5.\nAnswer: -2215*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 103 - 103. Suppose r*d - 10*d + 2040 = 0. What are the prime factors of 24\/d - 6592\/(-34)?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -3 - (3 + (-7 - -1)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 5:00 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of 1\/24*h**4 + 0 + 2*h - 1\/2*h**2 + 1\/12*h**3. Factor z(c).\nAnswer: (c - 1)*(c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2148334648?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 5:02 PM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5*10\/(-25) + 1. Let n = 60 + -40. Solve -o*g + n = 2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2800*k**3 - 32*k**2 - 654205*k - 3.\nAnswer: 16800*k - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -1. Let t = 5.5 - -408.5. Let n = -414.4 + t. Which is the biggest value? (a) v (b) 0.03 (c) -5 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w. Let i(j) = -2*j - 1. Let s(t) = b(t) - i(t). Let z be s(-5). Let c(v) = 0*v - 4*v + 2*v - 7 + 4*v. Let d(m) = -m + 3. Determine z*c(f) - 10*d(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 4, 0*u - 34 = -w + u. Calculate the remainder when w is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 568344 - 568341.11561. Round i to one dp.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8309 - 5398263.\nAnswer: -5406572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -29 and 1711.\nAnswer: 1682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -4*m - 3*t - 9, 4*t = 5*m + 5. Which is the nearest to 0.2? (a) -0.04 (b) -3 (c) 5 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*n = -24, 3*d - d - 16 = n. Suppose -v - 3 = i - 6, v = 4*i + d. Calculate the lowest common multiple of (i + (-9 - 0))*-1 and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010001001 - 10?\nAnswer: 11010000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.13 + -5.83. Let k = o - -5.7. Let m = -0.7 + 0.2. Which is the third biggest value? (a) 0.4 (b) m (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (2 - (-16 + 6)) - -18\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/3 - 13674*i - 574504\/3.\nAnswer: (i - 41036)*(i + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/21 (b) 1 (c) -16 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaqwawqaaqawiwwiii. What is prob of picking 1 a and 3 q?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 3*j = 5*m - 80, -3*j = -15. Let u = m - 115\/9. Sort -0.5, -3, u in descending order.\nAnswer: u, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2\/(-10) - 4336\/(-80)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49822290.\nAnswer: 2, 3, 5, 7, 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**2. Let o(a) be the third derivative of -647*a**4\/24 + a**2 - 3. Calculate o(d(m)).\nAnswer: 1294*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) 2\/3 (b) 2\/7 (c) -0.3 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -11*z**4\/4 + 2. Let g(s) = 7*s**3. Determine -8*g(f) - 5*h(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 4*p**2 + 0 - 4.\nAnswer: -4*p**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*r - 36*r = 20 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9856 and 4210272.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30960*q + 30961*q - 3 = -3. Solve q + 1\/5*o**2 - 4\/5*o = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 4*k - 3. Determine x(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**3\/6 - 2*g**2 + g. Let a(t) = -8*t + 5. Let h(u) = 9*u - 5. Let j(s) = -7*a(s) - 6*h(s). What is -3*j(n) + 4*y(n)?\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 7:25 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 4 = 5*c + 5*o, -8 = -2*c + o. Let w(v) = v. Let f be w(c). Suppose 4*g = i - 2, -f*g + 0*i - 7 = 2*i. Let u(j) = 6*j**3 - j**2. Determine u(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -17*b + 356. What is k(20)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 684 - 3478\/5. Suppose 9*n = -11*n + 200. Find the common denominator of f and ((-42)\/n - -4) + (-220)\/(-25).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45 - -38. Let n = x - -33. Suppose 0 = 29*v - n*v - 2211. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of 2*z**6\/15 + 59*z**5\/5 - 66*z - 11. Factor r(q).\nAnswer: 4*q**3*(q + 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3236 and 4?\nAnswer: 3240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*c = -3*c - 41, -c - 21 = -4*j. Suppose 0 = -2*n + 2, -3*n + 4 = -j*f + 1. Solve d + 4 - 6 = f for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.9 and -1806?\nAnswer: 1802.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/(-15) - 2\/(-6). Let b = -0.02 - -73.02. Let w = b - 74. What is the nearest to 1 in 0.4, w, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 22*w + 12)*(-333 - 766 - 327 - 865 + 508 - 355).\nAnswer: 47036*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (29\/(-29))\/(1 - 18\/17). Let p = -4 - -7. Let h = p + z. Solve -u = -5*u - h for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*v**2 + 48*v**2 + 0*v + 0*v.\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1755534 + 1755524.00097. Let y = -10 - c. What is y rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0017336 to five dps.\nAnswer: 0.00173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -160 + 92. Let y = m + 108. Which is the third smallest value? (a) 0 (b) y (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 2)\/(3\/15). Suppose -3*g + n = -2*g. Solve 0 = -g*m - 2*q + 23, -3*m = m - q - 8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18516 and 6.\nAnswer: 18516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 2694.\nAnswer: -1\/1347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 51345409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223408978 is divided by 1105985.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*u - 53*u = v + 17, -3*u - 4*v + 37 = 0. Sort 106, u, -4.\nAnswer: -4, u, 106","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, -11, -20 in decreasing order.\nAnswer: 83, -11, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1018?\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2263, 0.15 in descending order.\nAnswer: 4, 0.15, -2263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 68 - 424 = 0. Let s = -103 - c. Let k = -11 - -21. What is the smallest common multiple of k and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0047 * 4.\nAnswer: 0.0188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, -1\/3, 2\/7, 10841, -1100?\nAnswer: 10841","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 28434 divided by -349\nAnswer: -28434\/349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times -1.61?\nAnswer: -12.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.56121 millilitres in litres?\nAnswer: 0.05256121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146768078?\nAnswer: 2, 73384039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.2 + 759?\nAnswer: 712.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 9013*k**4\/4 - 2*k**3\/3 - 3*k**2\/2 - 258*k - 6461. Find the third derivative of t(s) wrt s.\nAnswer: 54078","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*q + 2 = 0, 2*x - 4*q + 0*q = -2. Let u(s) = -48*s**3 - s**2 + 1. What are the prime factors of u(x)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48213, -48212, -48211, -48210, -48209, -48208?\nAnswer: -48207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-26) + 93063\/6019.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 245 divide 4968355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((g**(2\/3)\/g)\/g)\/g)\/g)**(-9))**47 assuming g is positive.\nAnswer: g**1410","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*k + 56 - 191, 0 = -3*k - 3*p + 198. Suppose 1460*w = 1455*w + 190. What is the remainder when k is divided by w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 2*g + 48 - 44 = 0, -4*w = 3*g - 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 2*h = -7*u - 15, 3*u = 5*h - 28 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 + 82. Calculate the remainder when 75 is divided by h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 4*d - 0*d. Let a = 61 + d. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 87986 and 3545598.\nAnswer: 2378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 79474 and 790.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - ((6 - 23) + 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 9, p: 7}. What is prob of picking 1 p and 2 f?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92734 is divided by 7629.\nAnswer: 1186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/17856 and 37\/151600?\nAnswer: 169185600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 20907.170294 to one decimal place.\nAnswer: 20907.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*d + 21 = 0, 8 = -m + 3*m - d. Solve -3*r = -3*k - 3, m*k - 5*r + 6*r - 1 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 173292 and 29988?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5287574 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 78 = -5*q. Let g(y) be the first derivative of -y**3\/3 - 7*y**2 - 14*y - 1. Let p be g(-12). What is the greatest common factor of q and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-2) - 1651\/(-26). Let o = -63 + r. Which is greater: 16\/13 or o?\nAnswer: 16\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x**3 + x**3 + 2 + 6 + 2*x**2 + x - 5 as h*x**3 + o*x**2 + r + i*x and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -108*m**2 + 18*m + 19. Let i(f) = 27*f**2 - 4*f - 5. Give -9*i(j) - 2*l(j).\nAnswer: -27*j**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -27 (b) 0.21 (c) -0.6 (d) -4 (e) 1 (f) 0.4 (g) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 3*a - 138, a = 3*d - 511817 + 512024 for d.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -5*f**4\/8 - f**3 - 9*f**2. What are the prime factors of n(-6)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(6))\/sqrt(2) + sqrt(7) + -2*(1*sqrt(7) - sqrt(7)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -16 * 1480\nAnswer: -23680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67 + -67. Suppose -4*v + w - 21783 = d, -v - 2*w + 27231 = -6*v. Let a = -2506 - v. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3623\/4 + -3625\/4. Let v = 16\/7 + 3\/14. Which is the nearest to h? (a) v (b) -1\/5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (108\/19170)\/(105\/7455).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/30)\/(6\/(-15)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d + d + d)*(3*d - 2*d + 0*d) + (-6*d - 3 + 3)*(d + d + 0*d + (-2*d + 0 + 0)*(-4 - 1 + 4) - 1 + 1 - d) as l*d + p*d**2 + x and give p.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q + 41. Let c be b(19). Suppose 2*z - 11 = -c*l + 7, z = -4*l + 19. Solve 0*m = o + m, 5*o + m - l = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 21.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1484 - 211a11?\nAnswer: -213395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.846582 to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*y = 27*y + 444. Solve -j + y*j = -12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (7 - (26 + -8)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39988894 by -11.\nAnswer: -3635354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -87*p + 168 + 9 + 867 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 24625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 61571999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -439220 != -439218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - p + 5. Let z be s(0). Let h = z + -5. Let m(j) = j - 10. Let d be m(7). Which is the closest to 2\/7? (a) h (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 2*x + 21, -x - 117 = -2*s - 109. Solve -3*w = -s*w + y + 15, -5*w + 5*y + 50 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 40.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 689.\nAnswer: 1\/689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, d: 1, z: 3, n: 4}. What is prob of sequence gdng?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -22573, -45108, -67605, -90064, -112485, -134868?\n\"Answer: 19*h**2 - 22592*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7542995 and 2897.\nAnswer: 7545892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 3\/7*q**2 - 1\/42*q**4 + 2\/21*q**3 + 3*q + 0. Factor m(p).\nAnswer: -2*(p - 3)*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03827, 0.175, 5 in decreasing order.\nAnswer: 5, 0.175, 0.03827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*k + 5*x, 0*x + 4*x - 4 = -2*k. Let t be (-7)\/(-28) - k\/8. Which is greater: 4\/23 or t?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013985433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/9 and 89\/738423.\nAnswer: 738423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5356, -3889, -2422, -955, 512, 1979?\n\"Answer: 1467*x - 6823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.22 (b) 2 (c) -7\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/(-12))\/((-6)\/24). Suppose -45 - 24 = -m*d + 3*n, -d - n = -13. Let t be (-4)\/d - (-100)\/45. Solve f + t*f = -15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h + 22*h = 33 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 809578389.\nAnswer: 3, 37, 1597, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 259?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f**3 - 2*f**2 + 25*f + 7. Let o(p) = -2*p**3 + p**2 - 13*p - 4. Calculate 4*i(u) + 7*o(u).\nAnswer: 2*u**3 - u**2 + 9*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**3\/4 + 37*z**2\/4 - 73*z\/2 - 112 = 0?\nAnswer: -2, 7, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**4 - 2*f**4 + f**4)*(-3*f - 2*f + 2*f) + (263*f**3 + 154*f**3 - 26*f**3)*(-3 + 3 - 4 - 4*f**2).\nAnswer: -1558*f**5 - 1564*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of s**5\/60 + s**4\/24 - s**3\/2 - 6*s**2. Let o be z(0). Put -5, o, -1\/2 in ascending order.\nAnswer: -5, o, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*s - 5*s + 4*s - 3136 - 1154 = 0. Calculate the remainder when s is divided by -1*(34\/(-1) - 0).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a millennium in months?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (0 + sqrt(252) - sqrt(252) - sqrt(252))*1 + (1 + sqrt(252))*-6 - (-5 + (sqrt(252) + (1 + sqrt(252))*3)*3))**2.\nAnswer: 1596*sqrt(7) + 91021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -689 in decreasing order.\nAnswer: 4, 2, -689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/14932 and -111\/484.\nAnswer: 1806772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 971*a - 394 = 1813*a + 2974 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 3*u + 2. Let l be n(-2). Suppose z + 154 = 4*k, l*k - z = -4*z + 162. List the prime factors of k.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 17761195, 17761199, 17761205, 17761213, 17761223?\n\"Answer: o**2 + o + 17761193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 3*n**3\/2 + 9*n**2\/2 - 39*n\/2 - 45\/2 = 0.\nAnswer: -5, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 819434.\nAnswer: 2, 7, 11, 17, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s - 8. Let b be (-61)\/(-305)*10*-1. Determine p(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00037813 to six dps.\nAnswer: -0.000378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1377) + -2 + 4 + 4*sqrt(17) + (2 + (sqrt(153) - -3*sqrt(153)))*2 + -3.\nAnswer: 3 + 37*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(17)*-5)**2 + (sqrt(17) + 1)**2 + -2.\nAnswer: 2*sqrt(17) + 3841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rz when two letters picked without replacement from ssrzdssrooossrc?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (6 + 165\/(-28))*(-780)\/(-39)\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 239 + -239.2. Suppose r + 3*d = -2*r + 30, -3*d = -4*r + 5. Suppose -4*x - 11 = o, -r*x + 4*o = -x + 16. Which is the nearest to 1? (a) z (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + -3*(-2)\/(-6). Solve -8 = 2*t + y*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3332 = -22*q - 2980. What is the remainder when 535 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5465.\nAnswer: 5, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**3 - 10*y**2 + 3*y - 10. Let m(j) = -5*j**3 + 21*j**2 - 8*j + 18. Let h(r) = 3*m(r) + 7*z(r). Calculate h(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + a + 3 - 1)*(a + 0*a - 3*a) to f + x*a**2 + n*a and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 45*f**5 - 285*f**4 - 310*f**3 + 740*f**2 - 280*f = 0.\nAnswer: -2, 0, 2\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -19ad8 (base 14) to base 7\nAnswer: -361161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**2 - 1206854*r = 0 for r.\nAnswer: 0, 1206854","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-270)\/(-21) - (5 + 8)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 10300102311?\nAnswer: 10300102304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 21605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 0*t + 12 = 0. Suppose -3*j - 3*o - 54 = -8*j, -5*o = 2*j - 3. Let u = -76 - -82. Solve -t*b - u = j for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 9:58 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 8*r + 13. Let m(p) = -p**2 - 9*p + 12. Let d(t) = -5*m(t) + 4*v(t). What are the prime factors of d(-15)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2288827 micrometers in centimeters?\nAnswer: 0.00002288827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -86022 divided by -28674?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 7:32 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 3*r - 12. Let m be b(-5). Put -0.1, 0.05, m in descending order.\nAnswer: 0.05, -0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17661109 + -47625.5\nAnswer: -17708734.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(76) - (sqrt(76) + -1)) + sqrt(76)*-1*-5)**2 - ((6*(sqrt(1216) - (-1 + sqrt(1216))) + -1)**2 + -1).\nAnswer: -60*sqrt(19) + 1885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 4 + 4)*(4 - k - 5 - 2 + k + 1 - 1 - 2*k + 2*k + k + 3 - 3 + k + 3*k - 2*k + 0*k + 0*k + 4*k - 3*k + (0*k + 0*k - 2*k)*(4 - 3 - 3) - 2 + 2 + 2*k).\nAnswer: 40*k**2 - 12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -80*u + 1889. Let z be g(-7). Solve -6*s + 2485 = z for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y - 11. Let h be f(-11). Let w be 3\/(1*(-1 - h)). Let z = -1 - -1. Which is the third smallest value? (a) -2\/11 (b) z (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from udhiueeeieiuiehedh. Give prob of picking 2 e and 1 u.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10830*w - 10847*w - 157*w**2 - 263*w**2 to u*w + h + g*w**2 and give g.\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 80*s + 6. Let v be k(3). Let n = -239 + v. Solve i = n*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 8 - 1) + -2 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -7031883*g**3 - 80988369*g**2 - 40484664*g - 5174928 = 0.\nAnswer: -11, -396\/1531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -7*c**2 + 3*c + 2. Let v(n) = n**3 - 33*n**2 - n + 28. Let k be v(33). Let z(p) = 15*p**2 - 5*p - 3. Let m = 152 + -155. Give k*h(t) + m*z(t).\nAnswer: -10*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 374633170 to the power of 1\/2, to the nearest integer?\nAnswer: 19355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -s - 481 + 191 + 443 in the form c + z*s and give c.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 11:39 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1027, -1036, -1045, -1054, -1063, -1072?\nAnswer: -1081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z = -111 + 327. What is the least common multiple of 12 and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/43037 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*r**2 - 27*r**2 + 15*r**2 + 73*r**2 + 47*r**2.\nAnswer: 255*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 607 (b) -0.2 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 1:12 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xwwxwxwxxxww?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**5 - 186*w**4 - 1732*w**3 - 6088*w**2 - 9360*w - 5312.\nAnswer: -2*(w + 2)**3*(w + 4)*(w + 83)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 98976223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24 - 2 + 7)*(-3*k + 3*k - k) to m + t*k and give t.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101 (base 2) in base 9?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52113, 104225, 156337, 208449, 260561, 312673?\nAnswer: 364785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = y - 28. Let w(s) be the third derivative of s**5\/12 + s**4\/24 - s**3 + 12*s**2. Let k(u) = -6*u**2 - u + 7. Give y*w(n) + 6*k(n).\nAnswer: -n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -0.1, -1\/3, 1.53, 1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**2 + 1282329*y\/2 - 961740 = 0 for y.\nAnswer: 3\/2, 213720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/111870 and -143\/21448530?\nAnswer: 235933830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4214*b**2 - 7 + 2487*b**2 - 543*b**2 - b + 5 in the form z*b + v*b**2 + q and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 87 - -111. Let y = 4169 - 4147. Calculate the greatest common divisor of y and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 16. Put 3, -4, c, -5 in ascending order.\nAnswer: -5, -4, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 8*r - 7. Let d be 4\/(-14) + 37\/7. List the prime factors of g(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -259*m**6\/5 + 13*m**4\/3 - m**2 + 389*m + 3. Find the third derivative of l(w) wrt w.\nAnswer: -37296*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 421 is divided by 49?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**2 - 2*o**2 - 3*o**2)*(-3*o**2 + 3*o**2 + 2*o**2 + (-4 + 5 + 1)*(2*o**2 + 3*o**2 - 3*o**2)).\nAnswer: -6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 11.3. Let z = -3\/14 + 27\/28. Let n be (-1 + 2\/4)*2. Which is the third smallest value? (a) p (b) z (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 7:46 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1846*s - 1843*s = -6*g + 111, -5*s - 2*g + 49 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-21))\/(-1) + 44\/77. Which is the fourth biggest value? (a) -2 (b) -0.05 (c) -0.4 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -94c5 (base 15) to base 11.\nAnswer: -21700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 j when three letters picked without replacement from {j: 2, i: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of a**4\/24 - a**3\/3 + a**2 - 2*a. Let v(s) be the first derivative of g(s). Let h = -12 + 7. Give v(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 8:46 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 940 less than or equal to 309384\/329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19823 and 12?\nAnswer: 237876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -800\/3 - -281. Let o = s - 14. Find v such that 0*v - o + 1\/3*v**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 0*y = 0. Suppose y*a = -3*r - 3*a + 285, -4*a = -4*r + 356. What are the prime factors of r?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 13\/8 of a microsecond?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28 + 1 - 0) + (41 - (12 + 10)) + -18.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139607?\nAnswer: 13, 10739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p + 1. Suppose -5*o + 3*r = 6 + 11, -3*o + 3*r = 9. Let a(h) = -h**2 - 4*h + 1. Let t be a(o). Is f(t) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -19 (b) 3 (c) 4067 (d) 2\/149 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 621096?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s + 11. Let p(y) = -2*y**2 + 49*y + 30. Let o be (20 + 5)\/(-4 - (1 - 6)). Let w be p(o). What is j(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - 264 - 96. Let m = i + 24. Let q = m + -66. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h - 11. Let p be m(13). Suppose -27 = p*t - 3*t - x, -5*t + x = -117. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/3)\/(-4)*-2*-10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13\/861882 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -143*a**6 + a**5 + 4*a**2 + 11 wrt a?\nAnswer: -17160*a**3 + 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/(-6)*3\/2. Suppose -j*c + 10 = c. What is the first derivative of -c + 2 - 3*s**4 + 6*s**4 + 3 wrt s?\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 not equal to -0.19236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10857*y**4 - y**3 + 2*y**2 - 1104378*y?\nAnswer: -130284*y**2 - 6*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 376.40604 to zero decimal places.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1965 divided by 1.\nAnswer: 1965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 116*q + 4*q + 79*q - 470*q - 371*q in the form h*q + w and give h.\nAnswer: -642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/1162 and -67\/2.\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + 0.3. Let p = 0.2 - k. Let s = -29.609 - -29.309. Which is the second biggest value? (a) -3\/5 (b) p (c) s (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*q**0)\/q*q*q)**(-39)\/((q*q**(4\/3))\/(q**(1\/4)*q*q)) assuming q is positive.\nAnswer: q**(-1405\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/12, -9, -0.4, 5.\nAnswer: -9, -0.4, 7\/12, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 83238*p - 2855. Is x(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03 and 237.\nAnswer: 7.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4301 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 28*o - o**2 - 12*o - 16*o + 2*o**2. Let z(f) = -40*f**2 - 2. Calculate z(a(c)).\nAnswer: -40*c**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((4 + (sqrt(51)\/sqrt(3))**2 - (sqrt(612) + 0 - sqrt(17))**2) + 4)*6.\nAnswer: -4800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 19 - 18\/(-15)*10\/(-4). Let i(x) = 3*x**2 + 33*x + 33. Is i(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 2*h - 3*h - 3*h + 0 + 0 + 0*h + 3*h - h + (-h + 4*h - h)*(3 + 0 - 2) - 2*h + 5*h - 4*h)*(0*h**2 + h**2 - 2*h**2)*(-h + 5*h - 3*h).\nAnswer: -h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 71 - 72. Let m(g) = -g**2 - 7*g - 9. Let k be m(-6). Which is the closest to 0.3? (a) s (b) -2\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 25460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.037 - 0.037. Let h be (-32)\/(-72)*(-1)\/(-2). Let y = 0.2 - 0.2. What is the nearest to c in -0.1, h, y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 9137433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -5*r**3 - 7*r**2 - 7*r - 1. Let s(g) = g**2 + g. Give j(c) + 5*s(c).\nAnswer: -5*c**3 - 2*c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(1\/9)*f*f))\/(f\/((f*f*f\/f**12*f*f*f)\/f)))**(8\/7)*(f*f\/f**(-2)*f**8*f*f)\/((f*f**8*f)\/((f\/f**7)\/f)) assuming f is positive.\nAnswer: f**(-845\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -134*v + 2. Let a be m(5). Let x = a + 671. Solve -4*t = -4*j - 8, -j = x*j + t + 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 9*v**2 + 7*v + 5. Let s be i(-4). Let n = s - 54. Solve 4\/7*w - 2\/7*w**2 + 2\/7 - 4\/7*w**n = 0 for w.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 186635 and 37785.\nAnswer: 1145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -8*o + 60. Calculate z(12).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x - 5. Let w(q) = -q**3 + 4*q**2 - 4. Let n be w(4). Let s be h(n). Suppose 2*r + 0*r**3 + 3*r**s - r**3 - 4*r**2 = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x + 8. Let s be d(4). Let n be ((-80540)\/s)\/5*4. Suppose -3*a + 75946 + n = 0. What is a rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 21683326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -20. Suppose -5*c - r = -34 - 20, h*r = c - 16. Let v(l) = -l**3 + 2*l**2 + 4*l + 2. Let u be v(-2). Which is smaller: c or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 45 = 31. Calculate the remainder when 93 is divided by r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**3\/2 + 42619*t**2\/2 = 0. What is t?\nAnswer: 0, 42619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3*i = -9, -4*h = h + i + 3. Let n = h + 16. Solve n = -4*b + 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21707266723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.45 and -24767.2?\nAnswer: 24768.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 55 = -8*r. Let t(h) = -h**3 - 3*h**2 - 14*h - 12. Let z be t(r). Suppose -z = -7*a + 4*a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + -1 + 1\/3. Let n(s) = -3*s - 20. Let r be n(-8). Suppose 3*j = -6, -r - 10 = -3*k + 4*j. Sort 1, k, m in descending order.\nAnswer: k, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3 + 690*m**2 - 11205*m + 48600.\nAnswer: -5*(m - 120)*(m - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.301 - -6.699. Let l = -0.31 - -0.01. What is the second biggest value in 2\/7, l, y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10935 or 2901?\nAnswer: 10935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/120 and 93\/320?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -5. Suppose -4*z + 8 = h + 1, 0 = -a*z + 2*h + 6. Suppose -38 = -z*r - 10. Is 5 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f + 3. Let z be b(-5). Suppose 3*c + 178 + 176 = 0. Let v = 122 + c. What is the highest common factor of z and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v - 1. Let a(q) = -2*q**3 - 38*q**2 + 6. Let w be a(-19). Let c(x) = 13*x + 5 + 1 + 3*x**2 - 9*x. Calculate w*k(h) + c(h).\nAnswer: 3*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*h - 82*h - 78*h + (0 + 2 - 3)*(0*h - h + 3*h) to the form w + q*h and give q.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, n: 18}. Give prob of picking 2 n and 1 f.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/10 - 81\/15. Let q(f) = f**2 + 8*f + 4. Determine q(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - -6 - 12 - 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(220)*1 + (sqrt(220)*1 - sqrt(55)))\/(sqrt(44) + sqrt(176)\/sqrt(4) - sqrt(44) - (sqrt(11) + (sqrt(121)*-2)\/sqrt(11))) + 2.\nAnswer: 1 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 42200 - -13?\nAnswer: 42213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (0 + sqrt(63) - sqrt(7)) + (sqrt(14)\/sqrt(32) - (sqrt(28) + 3)))**2.\nAnswer: -3*sqrt(7) + 583\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2. Let x(i) be the first derivative of -10*i**3\/3 + 29. Determine x(p(z)).\nAnswer: -10*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 n, and 1 v when three letters picked without replacement from {i: 1, o: 2, n: 1, s: 2, v: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-26)\/(-7) + (-4)\/(-14). Suppose 4*a - 6 = 14. Let l(i) = 0 + 1 + 3*i - 2*i. Let g(z) = -z - 1. What is a*g(n) + m*l(n)?\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 8 + 17 = 0. Let j(f) = 26*f. Let i(l) be the second derivative of l**3\/6 + 2*l. Let a(s) = n*j(s) + 13*i(s). Give a(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.9683 * 855.\nAnswer: -9377.8965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200101001011011 (base 3) to base 8.\nAnswer: -45175431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 11*j. Let b be f(11). Suppose 3*h - 4*h + 72 = b. What is the remainder when h is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -657791950*h**3 - 7289*h**2 + 17139?\nAnswer: -3946751700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w + 19*w = 8. Let u(q) = q**3 - q + 6. Let z(j) = -7*j. What is the remainder when z(-6) is divided by u(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d02 - 1?\nAnswer: -d03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -12*d + 6. Let s be b(0). Suppose 26*p = 24*p + s. Suppose -2*h - 2 = 4*l, 2*h + 6 = -2*l - 0*h. Solve -l*i + i - 19 = p*f, 3*f = 4*i + 1 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 24 = -5*y, -11*b - 18 = 5*y - 13*b for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -8*i - 2*h + 336, -4*i + 4*h + 252 = 0. Calculate the remainder when i is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 33\/6 + 2\/4. Solve 5*y = 3*y - u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -b - 0*b. Let m be b\/((-5)\/(-3 + -2)). Solve m = 2*i - i + 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 4256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((-46)\/12 + 11\/22)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - 2. Let t(g) = g**2 + 8*g - 7. Calculate the remainder when 5 is divided by t(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9584 divided by 6.\nAnswer: -4792\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16.7 - 16.4. Which is the smallest value? (a) 0.1 (b) 2 (c) -4\/3 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 2:24 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**13*l)\/l**(-26))**(-1\/13) assuming l is positive.\nAnswer: l**(-41\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1886)\/(-15))\/2 + 84\/630. Solve 36*i - m = 9 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/126*-7*(-1)\/(-4)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + 24, -15*c + 39 = -12*c + 2*y for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15832, 22278, 33010, 48034, 67356?\nAnswer: 90982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0608 - -278464764.\nAnswer: 278464763.9392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.9608 - -0.0392. Put 57\/5, -5, n in decreasing order.\nAnswer: 57\/5, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -7*k**2 + 138*k + 3. Let q(m) = -20*m**2 + 396*m + 8. Determine 17*a(g) - 6*q(g).\nAnswer: g**2 - 30*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -111542 (b) -15\/2 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jtjijjimijttjgtj. Give prob of picking 1 m and 1 j.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 7*o**6 + 4*o**4 + 1227*o**2 - 5*o + 5. Let s(n) = -n + 1. Let h(r) = p(r) - 5*s(r). Find the third derivative of h(a) wrt a.\nAnswer: 840*a**3 + 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 1:04 PM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -445 = 11*s - 313 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100212 (base 7) in base 9?\nAnswer: -224524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -362*h + 445*h + 7304. Which is smaller: -53 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen quarters of a millennium?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1786 and -329186403?\nAnswer: 329188189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2085700?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 55671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2. Let q(i) = 44*i**2 - 7*i - 21. Let p(d) = 15*d**2 - 2*d - 6. Let o(f) = -21*p(f) + 6*q(f). Determine o(u(h)).\nAnswer: -51*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 112.7 + 24.3. Let v = y - -77. Let r = v - 214.171. Round r to 2 dps.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1301 - -421521?\nAnswer: 420220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1183 + -768. Is c 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 ggggjjgggjgg. Give prob of sequence jgg.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 9 (b) 3 (c) 0.3 (d) 1.9 (e) -4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f - 7. Let w be p(-9). Let m = -2 + -2. Let c be -4*1\/m*-3. What is the nearest to w in 2\/19, 3\/7, c?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1811?\nAnswer: 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1284, -2664, -4012, -5304, -6516, -7624, -8604, -9432?\nAnswer: -10084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/4 - 600*v + 12075\/4.\nAnswer: -3*(v - 5)*(v + 805)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 90 + 328 = 0. What is the highest common divisor of b and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 19*o + 55. Determine j(-22).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-19684)\/(-74)*120\/336. Let q = 7\/10 + 4\/5. What is the closest to 1 in q, 2, -0.1, g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8052 = -3*f + 5*b - 8019, -f + 25 = 3*b for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1211514 a multiple of 962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -5 (c) -24 (d) -1919 (e) -0.1 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11\/(-1) - (64 - 64) - (-68)\/2. Let k = 2 + -1. Sort -2, k, y.\nAnswer: -2, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 60\/14 + 4\/(-14). Suppose 7*o - 12 = -3*n + 2*o, -3*o = f*n - 27. Let y(a) = a**2 - 8*a - 9. Let c be y(n). Solve -q = -c*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76266?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -112 - -120. Let o = -10 + c. Is -3 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of 15*j**3\/2 + 21*j. Let f(t) = -2*t**2. Calculate f(z(d)).\nAnswer: -4050*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48703 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - a - 29. Let f be s(0). Let y be (4 + -3)\/((-1)\/f). Suppose q + y = 2*q. Does 16 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143 - 3*p - 291 + 148.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/85 or 0?\nAnswer: -3\/85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -738365833493?\nAnswer: -738365833492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 13*c**2 - 156. Let r(w) = 2*w. Give n(r(o)).\nAnswer: 52*o**2 - 156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of 1\/30*g**5 - 1\/40*g**6 + 0*g + 0 - 3*g**2 + 0*g**3 + 0*g**4. Find the third derivative of c(b) wrt b.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1476512 is divided by 738252.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*l + 84 = 5*l - 3*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1 + 4 + 0 - 2 + (1 + 1 + 0)*(1 - 3 + 1) + 0 + 0 - 3 + 8 + 11 + 2 - 3 + 3 - 2 + (-2 + 4 + 0)*(-3 + 3 + 1))*(v - v**4 - v).\nAnswer: -16*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05 and 3?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -76*p**2 + 5*p - 9. Suppose 0 = 4*m - 0*m + 36. Let l(h) = -19*h**2 + h - 2. Let g(o) = m*l(o) + 2*k(o). Is g(-1) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 3) + 7 + (2 - (2 - -3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, w: 1, d: 5, r: 5, f: 8}. What is prob of sequence rwdf?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 0. Suppose -2*x = 2*x + p + 17, -5*p - 25 = 5*x. Let u = 0.2 + 0.8. Which is the biggest value? (a) h (b) u (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - (-6 - -11)) + 778. What is the highest common divisor of x and 946?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -14. Suppose -u*c - 3*c = 5. Calculate the remainder when c\/(-4 + (-556)\/(-140)) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + -3)\/(15 - 16). Which is smaller: -4\/5721 or a?\nAnswer: -4\/5721","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 (base 13) in base 6?\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**5\/5 + 156*h**4\/5 - 1606*h**3 + 34700*h**2 - 283125*h + 250000 = 0. Calculate h.\nAnswer: 1, 25, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 8*g**4 - 4*g**3 - 193*g + 5 + g**2 + 191*g - 30*g**4 - 4 as p + q*g + z*g**2 + f*g**4 + d*g**3 and give f.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14616 by 21.\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1104661430 to the power of 1\/2, to the nearest integer?\nAnswer: 33236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/40)\/((-7)\/336*-8).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 12. Suppose i*n = 11*n - 336. Suppose -k = 14 - n. What is the remainder when k is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4671629 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 129249797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y**3 + 22*y**2 + 2*y - 17. Let c(z) = -6*z**3 - 24*z**2 - 2*z + 17. Let b(f) = 3*c(f) + 4*r(f). What is b(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = n - 21, -9853*q - 3*n + 0*n = -9868*q + 261 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1181 - -9.8899. Let c = 10 - b. What is c rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-17)*b\/(b**(1\/9)\/b))**(11\/2) assuming b is positive.\nAnswer: b**(1969\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0437 - 80?\nAnswer: -79.9563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/2 (b) 1 (c) 3 (d) -49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 34184*m - 17092*m + 6*m**2 - 17092*m. Suppose 0 = 4*x - 2*x + 12. Let y(s) = 6*s. Let l(d) = -7*d. Let t(k) = x*y(k) - 5*l(k). Determine t(v(r)).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 84221485847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 5*z**2 - 4793*z - 38534. Determine f(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/615 and 29\/3870.\nAnswer: 158670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -610494 by 1.\nAnswer: -610494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.008 + 9.408. Round h to 0 decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3137687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32320*u + 32318*u = -4, -6 = -4*g + 5*u for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 697 + -731.8. Let n = d - -34.9434. What is n rounded to 2 decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d - 4. Let v be x(-7). Suppose -v = -3*k - 0*k. Which is the closest to 1? (a) -3 (b) k (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12614*y - 18154*y + 1248*y - 5067*y.\nAnswer: -34587*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of s**7\/70 - s**6\/40 - 3*s**5\/20 + s**4\/8 + s**3 + 8*s**2. Factor j(i).\nAnswer: 3*(i - 2)*(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.321165 micrograms to nanograms.\nAnswer: 1321.165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/41305 and 11\/4825175.\nAnswer: 53076925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21 + 7 - 54)*(4*m**4 + 4*m**4 - 6*m**4) to the form u + l*m + j*m**2 + g*m**3 + f*m**4 and give f.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 414.4\nAnswer: 165.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199860842.\nAnswer: 2, 99930421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -19*t - 76. Let z be b(-4). Which is smaller: -2\/337 or z?\nAnswer: -2\/337","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 z, 1 y, and 1 w when four letters picked without replacement from {z: 2, e: 1, l: 2, w: 2, y: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(2\/11)*z\/z**(-1\/11)*(z**(2\/5)\/z)**30 assuming z is positive.\nAnswer: z**(-177\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6 - (2 - 1 - -3916)*-3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9756908.76 to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 6*s - 4*s**2 + 1 + s**2 + 2*s**2 + 3*s**2. Let a be j(-4). Suppose -3*b - 5*y + a = 0, -4*b - 2*y + 18 = -b. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -6*d**3 + 47*d**2 - 163*d + 1137. What is g(7)?\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -3. Suppose 5*p - 15 + 1 = 3*x, 13*p + 3*x - 4 = 0. Which is the closest to 4? (a) p (b) -1\/4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 285012*0.2184.\nAnswer: 62246.6208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - -4)*(0 + -3). Suppose -5*y + 12 = -x. Let u(r) = -r + 37*r**3 - 16*r**3 - 22*r**3 + 5*r**2 + 0*r**3 - 4. What is u(y)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23673 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/3)*h**(-7)*h)\/(h**(-1))**40 assuming h is positive.\nAnswer: h**(103\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21179540 rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, b: 9}. Give prob of sequence oobb.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1876 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*b - 0*a - 3853, -4*b - a + 7685 = 0. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -851*j + 299. Let s(x) = -17*x + 6. What is 6*i(d) - 299*s(d)?\nAnswer: -23*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -n + 5*k, 7*k - 22 = 3*n + 5*k for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + x. Let i(g) = 4 - 5 + 1 + 6*g - 9*g**2. Calculate i(z) - 6*l(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134434648.\nAnswer: 2, 839, 20029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 878 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1377021, 1377014, 1376997, 1376964, 1376909?\nAnswer: 1376826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126009.\nAnswer: 3, 13, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/647 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2294209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t - 57. Let r(u) = 2*u. Calculate r(h(i)).\nAnswer: 6*i - 114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 + s + 1. Let h be k(-1). Let g(u) = u**3 - 3*u**2 + 2*u + 2. Let v be g(h). Suppose 0 = 3*j - v*j. Do 0 and j have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -6 + (3 - 5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 901 = -2*o + 2910, -f - 1269 = -o. Let m = f - 347. What is m rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**4 - t**4 - 2*t**4 + (3 + 0 + 3)*(-3*t**4 - 2*t**4 + 10*t**4) + (0*t**2 + 2*t**2 - 3*t**2)*(4*t**2 - 2*t**2 - 4*t**2) - 1 + 2*t**4 + 1.\nAnswer: 31*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 2:44 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8488833 litres in millilitres?\nAnswer: 848.8833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 1\/7, -9\/2305, -1 in ascending order.\nAnswer: -1, -9\/2305, 1\/7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13481430553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -763*3.35\nAnswer: -2556.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -m + 4*q, -6*q + 205 = 5*m - q. Suppose 2*n = -3*h + 1059, -3*h + 50*n = m*n - 1038. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1467 and 243.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**3 - 2*x**2 + 22*x - 39. What is m(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 5*z + 140 + 50, o - 2*z = 44. Suppose -6*q + o = -q. Let s = -5 + 8. What is the remainder when q is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 10*k**2 + 8*k + 1. Let u be (-3)\/((-9)\/(-6)) + 11. Let i be l(u). Let a = -5 - i. Sort 5, a, 0 in increasing order.\nAnswer: 0, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9338 + -9338. Sort -3, b, -166 in increasing order.\nAnswer: -166, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.54624 rounded to 2 decimal places?\nAnswer: -1.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 68 - -517?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6721 and 6591.3.\nAnswer: 13312.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 20. Let x be -4*(4\/l - 1). Let b(z) = -5*z - 6. Let r be b(-4). What is the greatest common factor of r and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 15 = -3*q. Let t(r) = -r**3 - 6*r**2 - 5*r - 4. Calculate t(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 741693 is divided by 49445.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -z + 5*z. Let j be z + 5858\/32 + -1. Let n = -180 + j. Is n != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -7*d + 0*d**2 - 9*d**2 + 3*d. Let t(c) = -17*c**2 - 7*c. Let v(r) = r - 28. Let y be v(24). Calculate y*t(z) + 7*s(z).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + 3570044 - 3570034 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5)*g\/(g\/g**(2\/5)))\/((g*g*g\/g**(-6))\/(g*(g*g\/(g**(-3\/2)\/g))\/g)) assuming g is positive.\nAnswer: g**(-91\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(((-1089)\/945 - -2) + 4\/(-30)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 667310 divided by 13\nAnswer: 667310\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b + 0*b + 1 - 2*b - 5 as h*b + v and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -98.52 + 0.762690022\nAnswer: -97.757309978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -387.\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.139 - -0.03756999.\nAnswer: 0.17656999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -53 (b) -0.9 (c) -2 (d) 1\/17 (e) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40378, -80753, -121128, -161503?\nAnswer: -201878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 (base 12) in base 2?\nAnswer: 1010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(640) - sqrt(10))\/sqrt(2) - sqrt(5)) + 4)*5.\nAnswer: 20 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -11001001 (base 2) to base 3\nAnswer: -21110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 107\/2, -1\/5, 2, 1 in descending order.\nAnswer: 107\/2, 2, 1, 1\/2, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -111, 0.0262 in increasing order.\nAnswer: -111, 0.0262, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 869605067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (14\/10)\/(441\/126). Put -1, 2, 130, m in descending order.\nAnswer: 130, 2, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75012.1 milligrams to kilograms.\nAnswer: 0.0750121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 1. Let d(y) = 2*y**2 - y - 3. Suppose b - 73 = 3*w, -2*b + 0*w = -4*w - 144. What is the remainder when b is divided by d(c)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -260, -381, -564, -809, -1116, -1485?\n\"Answer: -31*y**2 - 28*y - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 3)*(-1 + 0 - 1)*(10 - 5*k - 10) + 0*k - 3*k + k.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 7:01 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -2 (b) 2\/3 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eze when three letters picked without replacement from zzprezrezerrzpe.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 25 and 21876632468.63.\nAnswer: 21876632493.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 55*d. Let t(r) = -441*r. Give -6*t(l) - 49*x(l).\nAnswer: -49*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x - 1. Let l be z(4). Suppose -t + 4*s + 42 = 0, 3*t - 83 = l*s - 2. Calculate the remainder when t is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 11:00 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -171, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290163231?\nAnswer: 3, 19, 1696861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 4*j - 17. Let c be 5*1 + (-20 - j). Suppose 5*v + 6*u - 1850 = 3*u, -c*v = -3*u - 761. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70227, -70229, -70231, -70233, -70235, -70237?\nAnswer: -70239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddbb when four letters picked without replacement from {b: 8, t: 5, d: 7}.\nAnswer: 98\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5 less than -160.8?\nAnswer: -163.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -20 (c) 0 (d) -0.29 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 70289 (base 15) to base 16\nAnswer: 56a8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 - 35*u**2 + 288*u - 252.\nAnswer: -(u - 6)*(u - 1)*(u + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a gram in milligrams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 - 14*u - 26. What is i(-3)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 2*t**2 - 6*t + 8. Suppose 2*y - 4*d = -16, -6*y = -4*y + d + 11. Let u = y + 2. Let o be z(u). Sort o, 2, -2, -5 in decreasing order.\nAnswer: 2, o, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1150 + 1145. Suppose 2*p - m + 5*m = -14, 2*m + 4 = -2*p. Sort 0, 5, p, b.\nAnswer: b, 0, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 337 + -584. Let r = -232 - o. Calculate the highest common divisor of 105 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(17) + -1)*3.\nAnswer: -12*sqrt(17) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**4\/4 - 83*x**3\/2 + x**2 + 166*x = 0.\nAnswer: -166, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1042072\/622643 + 2\/12707. Let o = -118\/539 - r. Calculate the common denominator of (18\/24)\/(33\/(-72)) and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*h - 10*h**2 + 7*h - 18*h**2 + 10*h + 4*h.\nAnswer: -28*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 2*f**2 - f + 6. Let k be n(-5). Let d be 3\/24*38*(-42 + 82). Let g = d - k. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 + 10*f + 6. Let n(a) = 2*a**2 + 11*a + 7. Let z(j) = -4*n(j) + 5*v(j). What is the tens digit of z(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(33)\/sqrt(704).\nAnswer: sqrt(3)\/8 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 89 by -3157216.\nAnswer: -89\/3157216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 8 - (-39 - -24)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.56 and 5.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -261 - -508. Let v = -222 + j. Solve 5*y + v = 0, 0 = -x + 5*x - 2*y - 14 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t**3 - 3*t**2 + 2*t + 3. Let h(a) = 5*a**3 - 7*a**2 - 9100*a + 9105*a + 3*a**3 + 7. Determine -7*g(b) + 3*h(b).\nAnswer: -4*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 5*n = -120, n = -2*n - 12. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 2941\/385?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 - 6*l**2 - 2*l**2)*(-174*l - 98*l + 71*l).\nAnswer: 2010*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -147 - -325. Let g = -173 + q. What is the closest to -5 in g, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -0.3 (c) -6 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 652, 653, 654, 655, 656, 657?\n\"Answer: w + 651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6909676*j**3*t**2 + 11157*j**3 - j*t**2 + 13*t wrt t.\nAnswer: -13819352*j**3 - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.6 + 0.6. Let z = 559 - 563.82. Let k = z - q. What is k rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1007.999994762 + -1008. What is r rounded to seven dps?\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 810492 is divided by 16534?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -103.36 + 103.360004801. What is c rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72045660?\nAnswer: 2, 3, 5, 17, 23, 37, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12744\/42480*(-2)\/3*(-1)\/(1\/485).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -5 (c) 1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 + -32. Let b be (r\/(-16))\/(3\/114). Do b and 19 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -44680582 greater than -44680580?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -f**6\/120 - f**5\/60 + f**4\/12 - f**3\/6 - 8*f**2. Determine c(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 10 = 4*n, -1 = 4*n - 5. Suppose 3*k = -k + 12. Find c, given that c**5 - c**4 + 0*c**3 - c**k + 2*c**3 + u*c**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*h = -172. Let m = h - 299\/7. Factor 0 + 0*g + m*g**2 + 6\/7*g**4 - 2\/7*g**5 - 6\/7*g**3.\nAnswer: -2*g**2*(g - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 13*m + 25. Let w be (-3)\/(-12) + (-35)\/(-4) - -3. Let s be k(w). What is the greatest common factor of 13 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2158 - 1265. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 - -185. Let t = 159.05 - g. Let h = 0.85 - t. Round h to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -756? (a) -0.2 (b) -4\/3 (c) -15\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 2\/81, 4, 3\/7?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1.1*0.15\nAnswer: -0.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1852)\/20 - 10\/25. Let d = -649\/7 - c. Let a = 3.5 + -4. Is a at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -337 + 165 + 7*o**2 + 153 - 3*o + 5*o**3. Let d(z) = 3*z**3 + 4*z**2 - 2*z - 10. Determine -7*d(i) + 4*u(i).\nAnswer: -i**3 + 2*i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-8 - (8 + -14)) - -5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 192899424 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1101*w**3 + 1831*w**3 - 3*w + 3163*w**3 + 3*w.\nAnswer: 3893*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8184088 + a + 0*a - 21921609.\nAnswer: a - 13737521","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*y**3 + 115*y**2 + 140*y - 100.\nAnswer: 5*(y + 2)*(y + 10)*(2*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 2) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2314692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**5\/20 + 7*j**4\/12 + 7*j**3\/6 + 7*j**2\/2 - 5*j. Determine m(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 487519 a multiple of 222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1)\/l)**(-7\/4))**(1\/24)\/((l*l**(-1)*l)**35*(l\/l**0)**(24\/11)) assuming l is positive.\nAnswer: l**(-39187\/1056)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 6*f**3 + 6*f**2 - 3. Let u(v) = -v**4 - 17*v**3 - 17*v**2 + 8. Let j(k) = 17*d(k) + 6*u(k). Find the first derivative of j(q) wrt q.\nAnswer: -24*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -552da + 1?\nAnswer: -552d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 9*l**2 - 29*l + 189. Is m(19) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7177\/20620 + 2\/1031. What is the common denominator of o and 19\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b + 3. Let j be m(1). Let f(i) = -i + 1. Let h be f(j). Suppose h*k - 6 = -k. Solve 2*o = g - 1, 4*o + 2*g + 0 = -k for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -101\/114 - -499\/456. Let s(r) be the first derivative of -7\/8*r**2 - 3\/8*r + 26 + k*r**3. Factor s(m).\nAnswer: (m - 3)*(5*m + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 5 (b) -4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**5\/5 - 1206*m**4\/5 - 365992*m**3\/5 - 1425504*m**2\/5 + 5856128*m\/5 + 4623360 = 0.\nAnswer: -602, -600, -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*n - 6 = -4*y, -1 = y. Solve 3*p - 2*m - 13 = 0, -p - 4*m - n = -14 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, -2, -1, -105, 1, -20 in ascending order.\nAnswer: -105, -53, -20, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-76\nAnswer: 15.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 3*n - 17, 3*n + q = -3*q + 13 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 915*r**2 + 9*r + 16 wrt r.\nAnswer: 1830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100882?\nAnswer: 2, 50441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4 - 34*h**3 - 3102*h**2 - 36686*h - 61268.\nAnswer: 2*(h - 53)*(h + 2)*(h + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9051222 by -3.\nAnswer: -3017074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does -1034 = -1033?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jijjiiiiijiiii.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 4\/3, -3, -2\/7, -15, -2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4732 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/42)\/(((-1026)\/(-243))\/(-38)))\/(32\/(-448)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 8:21 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1588 a factor of 629721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3185 divided by -245?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/(-3) - (4 + -1). Find the second derivative of -n**4 + 5*n - n**4 - c*n**4 - 3*n wrt n.\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42735121*a**4 + 2*a**2 - 2066672*a?\nAnswer: -1025642904*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 134 - 163. Let b = -0.1735 + 0.2735. What is the nearest to 1\/2 in b, -2\/5, v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -490 by 35.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 71, -725083 in ascending order.\nAnswer: -725083, 5, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -0.01391.\nAnswer: 0.005564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(11) - (sqrt(99) + -1*sqrt(99))))\/(-5*(2*(sqrt(4) + sqrt(12)\/sqrt(3)) - sqrt(4))).\nAnswer: -sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 2995518626.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20\/(-6))\/((-3)\/(-9)). List the prime factors of 2\/10 + (-208)\/t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 21*n**2 - 21*n - 24. Let c be k(-20). Suppose -25*z = -21*z - 32. What are the prime factors of (-6)\/(8\/c) + z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 3*b + 0*b)*(-531 + 877 - 2446 - 1502 - 602).\nAnswer: 8408*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -3 (b) -372 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*x - x = -7*x + 243 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 5*j**2 + 2*j - 4. Let w be k(5). Suppose 0 = f - w*f. Suppose 14*d - 67 - 3 = f. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 14 = -4*b, -4*b = -2*b + 2*l. Sort 35, b, 5, -1 in ascending order.\nAnswer: -1, b, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201470219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42*-79246.\nAnswer: -3328332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144 (base 5) to base 13.\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 31, 2, 3.\nAnswer: -3, 2, 3, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-110)\/(-1925)*(2 + (-51)\/15).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((0 + sqrt(432) - sqrt(12)\/sqrt(4)*-4) + 5)**2 - (sqrt(12)\/(-2*sqrt(2)))\/(sqrt(162)\/sqrt(9))).\nAnswer: 961*sqrt(3)\/6 + 797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**4\/2 - 1119999*r**3 - 145609281*r**2\/2 - 1218663456*r - 1146978816 = 0. What is r?\nAnswer: -32, -1, 746731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -58062.4291 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4198*z**3 - 3*z**2 - 307*z - 3. Let c(i) = -4197*i**3 + 2*i**2 + 324*i + 1. Let p(f) = 4*c(f) + 3*u(f). Find the third derivative of p(m) wrt m.\nAnswer: -25164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 8:30 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1024 to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 1. Let l be t(-1). Let p(w) = -w - 2. Determine p(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (165\/2)\/(17\/34). Suppose 19*p + r = 24*p. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329109.\nAnswer: 3, 11, 9973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(10)\/sqrt(2) - sqrt(315)\/sqrt(7))**2 - ((sqrt(180) + -1*sqrt(180))*4*-1)**2.\nAnswer: -12*sqrt(5) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 8, y: 3, p: 5}. What is prob of sequence yl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**2 + p + 23. Give g(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -548?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -276 - -640. Let j = 366 - n. Sort 2.7, 1\/9, -1, j in descending order.\nAnswer: 2.7, j, 1\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1357 - -1407. What is the remainder when 1247 is divided by b?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24702 and 7452.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 31*u - 22*u.\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h - 8*h + 5*h - 6 + h. Let t be r(11). What is the highest common factor of t and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 14) to base 10\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 1 - 0 - 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -1 + 0 + j**2 + 4 - 3*j. Suppose -2*f + h - 21 = 2*f, 5*h - 33 = 2*f. What are the prime factors of v(f)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ysttsuxsssasttuu. Give prob of sequence ysx.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 34200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 3546?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 - 6415312*p.\nAnswer: p*(p - 6415312)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -174*d + 177*d - 11901. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 166?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**5 - 8*n**2 + 8*n**2 + (1 + n - 1)*(60*n**4 + 30*n - 30*n) - n**5 + n**5 + n**5 + 2*n**5 - 4*n**5 + n + 0*n**5.\nAnswer: 56*n**5 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 120610244?\nAnswer: 120610251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 4, 28469, -13 in increasing order.\nAnswer: -13, 3\/2, 4, 28469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w**2 - 6. Let y(i) = -3*i**2 + 5. Let u(d) = -5*l(d) - 6*y(d). Let z(s) = 4*s**2. Calculate z(u(a)).\nAnswer: 16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 3*s = 23 - 7, -3*s = 5*b - 20 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -14*y + 39. Let x(q) = 41*q - 113. Calculate 17*u(d) + 6*x(d).\nAnswer: 8*d - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r + 26. Give v(8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23488 - 19987. Which is the biggest value? (a) -4 (b) y (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 28 = 3*f - 13, -4*y - 25 = 5*f. Let p(r) be the second derivative of 0 + 0*r**3 + 1\/60*r**6 + 0*r**2 + 0*r**5 + y*r**4 + 3*r. Factor p(v).\nAnswer: v**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 79?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -434 - -478. Let y = -39 + o. Let k(a) = -5*a + 5. Give k(y).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/6, -39, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/12 - (-31)\/(-6). Suppose 4973*j = 4969*j + 5*y - 11, -5*y + 20 = 5*j. Put j, 2, z, 3 in ascending order.\nAnswer: z, j, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4039*j - 1545. Is w(34) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 3989*x = -3985*x - 28, 0 = -j - 4*x + 31 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -315 or -402?\nAnswer: -315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 0 - 7*a**2 + 1 + 5*a - 4*a. What is o(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/11349216 and 23\/75360.\nAnswer: 56746080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3897331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-110)\/(-7) - 6\/(-21). Let s be 3 + -1 + (-15)\/3. Let j = s + f. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3402 divided by -1701?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 12*u**4 - 16749*u**3 + 5536932*u**2 - 20511936*u - 5474304 = 0.\nAnswer: -1\/4, 4, 528, 864","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 58794903847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 93205718 to the power of 1\/2, to the nearest integer?\nAnswer: 9654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*g - 76*g**3 - 8*g + 43*g - 14*g wrt g.\nAnswer: -456*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t. Let a(q) = -867*q + 0 + 0 - 87*q. Calculate k(a(o)).\nAnswer: -1908*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 11*s - 23. Determine w(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + t + 6, -5*n + 5*t = -2*n - 2. Solve -n*o = -c + 1, 0 = -3*c + 8 + 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mtt when three letters picked without replacement from {t: 3, h: 1, y: 3, d: 1, s: 3, m: 3}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00524204406 rounded to 4 decimal places?\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 4. Let b(k) = 7 + y*k**2 - 2*k**2 + k**2 + 5*k. Let r be b(6). What is the greatest common factor of 2 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 5*i**2 + 2*i. Let x(v) = 6*v**2 + 10*v - 1. Let n(q) = -3*t(q) + x(q). Let b(y) = -10*y**2 + 5*y - 1. What is -4*b(f) + 5*n(f)?\nAnswer: -5*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 12.13462\nAnswer: -6.06731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 3*b**2 - b. Let z be -4 + -6*(0 - (-3)\/9). Let u(t) = 10*t**3 - 32*t**2 - 10*t. Let s(i) = z*u(i) + 68*y(i). Suppose s(n) = 0. What is n?\nAnswer: -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -h**5\/15 - h**4\/12 - 3*h**2\/2 + 3*h. Let p(y) be the first derivative of g(y). What is the second derivative of p(c) wrt c?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 + 8 + 7)*(-128*a - 562*a**4 - 1639*a**4 + 128*a - 2*a**3 + 2*a**3) as v*a**2 + b*a**3 + x*a**4 + h + r*a and give x.\nAnswer: -6603","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 745 + 1741 = 167*b - 1522 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-1)*(2 - (-12)\/(-8)). Is 11 a factor of 109\/2 + 1\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -134322 (base 8) to base 15.\nAnswer: -e044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-45)*(-19)\/(456\/60)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1819 = 4*f + 3*t, 3*f - 381 = 2*t + 962. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-28)\/126 - (50\/(-198) - (-2)\/(-6)). Let k = -4 - -3. Which is the closest to k? (a) -0.05 (b) 5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4*c**3 - 2*c**2 - c. Let z be r(-1). Suppose 4*k + 12 = 0, z*k = 2*b - 0*b - 107. Let g = b + -19. Is 15 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8160001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 7568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*r + 842*r + 114*r - 10762 = -52202 for r.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*f - 1027 + 3787. Calculate the smallest common multiple of f and 90.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000803 to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*d - 125 = 97*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/176 and 145\/24?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 26?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*y - 195 = -151*y + 93*y. Let b(k) = 2*k**3 - 4*k**2 - 5*k - 1. Let f(d) = -3*d**3 + 5*d**2 + 6*d + 1. What is y*b(w) - 4*f(w)?\nAnswer: 2*w**3 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 23.84 times 0.062\nAnswer: 1.47808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -119, -180, -257, -356, -483, -644, -845?\nAnswer: -1092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 7. Let d = 0 + y. Let i(c) = c. Let z(r) = -3*r + 2. Let n(j) = d*i(j) - z(j). Calculate n(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2450872 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24212867.\nAnswer: 7, 1637, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 5*r**3 - 223390*r**2 + 2495154605*r = 0.\nAnswer: 0, 22339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/17)*d*d**(-1\/5)\/d*d*d*(d**0)**2*((d**(2\/3))**(-1\/17))**(4\/17) assuming d is positive.\nAnswer: d**(7253\/4335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 11 = -8*c. Is c >= -14\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**4\/15 + 8*d**3\/3 - 32*d**2\/5 - 384*d\/5 = 0. What is d?\nAnswer: -4, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c + 0*c + c**3 + (-1 + 0 + 2)*(-2*c**3 + 5*c - 5*c) - 2*c**3 + 1 - 1 in the form s*c**2 + t*c**3 + a*c + d and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 12:44 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*l + 2*w - 153, -2*l - w + 149 = 0. Is l a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of q**2*u**2 + 282185*q**2 + 4*q*u + q + 439*u**2 + 22563*u wrt q.\nAnswer: 2*q*u**2 + 564370*q + 4*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - -1. Let c(v) = 3*v + v**3 + 2*v - 4*v**2 - 1 + w*v**2 + v. What are the prime factors of c(-8)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, y: 2}. Give prob of sequence cccc.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 248 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 4016*o + 1888*o - 2418*o + 4 + 1.\nAnswer: -4546*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 y when three letters picked without replacement from lyvyu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 106648, 213296, 319944, 426592?\n\"Answer: 106648*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -19.7534 and 358296.86.\nAnswer: 358277.1066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -254*x + 503*x + 124 - 124 - 256*x.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68 and 85?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3\/8)*f*f)\/f*f\/f**6)**(2\/79) assuming f is positive.\nAnswer: f**(-35\/316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a microsecond in nanoseconds?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 11*w + 440 = 0. Let c = w - 53. What is the third derivative of 0*a**5 + 15*a**2 - c*a**5 + 1601 - 1601 wrt a?\nAnswer: -120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-3 - 0)\/(-12)). Suppose y + 0 = q. Which is the third smallest value? (a) -0.5 (b) -4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -14*b + 15*b, 2*b = -3*i + 20. Sort 1, 683, i, -2 in decreasing order.\nAnswer: 683, i, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**3 + 5*j**3 + 0*j**3 + (-j - 2*j + 2*j)*(0*j + 0*j - 2*j**2) + 3*j**3 - 2*j**3 - 3*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-17)\/((j**(-13)\/j)\/j)*j**(19\/3)*j\/(j**(-9)*j*j))**(1\/12) assuming j is positive.\nAnswer: j**(37\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**5 + 1198*v**4 - 62218*v**3 - 68198*v**2 + 248840*v + 253624 = 0. Calculate v.\nAnswer: -647, -2, -1, 2, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 34\/9 - 4 - 16\/9. Let c be v\/(-8) + 12\/(-48). Suppose 4*g = c, -3*g - 625 - 163 = -2*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 74110?\nAnswer: 74106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*t + 69 + 39 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -364944840 to the nearest 1000000.\nAnswer: -365000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-12))\/(16\/12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-858)\/220*45\/(-585).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0.1, 20, -2 in ascending order.\nAnswer: -2, 0.1, 2\/3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 183\/244 + 1\/(-4)*27 + 15. Solve 8*k = -b + 25 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-0.5.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -84 + (32 - 9) + -14 - (-30 + 21)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 609085 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40*d - 185 with respect to d.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybhhnbnnbbnqhnnhn. Give prob of picking 1 y and 1 h.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*d + 323 = -223 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 10) to base 2.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*v = -80 - 123 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a decade?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6716, -13369, -20008, -26627, -33220?\n\"Answer: y**3 + y**2 - 6663*y - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*(((-4)\/(-8) - 1) + 1). Let z(j) be the second derivative of m*j**4 + 0 - 1\/6*j**2 - 1\/12*j**3 - 12*j + 1\/120*j**5. Suppose z(d) = 0. What is d?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 18786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/35*-10 + (-144)\/74.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-96)\/(-9) - 4\/6. Suppose 4*x = -3*x + 280. Calculate the greatest common divisor of n and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34)\/(-42) - 1)*((-253)\/(-22) - 13).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 240128 and 17738.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 25542900 to the nearest 100000.\nAnswer: 25500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 8 + 18 = 0, 28*k - 375 = -0*y + 2*y - 13 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in nine tenths of a tonne?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-11 - (5 - (18 - 6))) - 28.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -989 (base 10) to base 13.\nAnswer: -5b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 66 = 3*q - 0*q, -2*q = -5*m - 49. Suppose -5*y - 33 - 2 = -5*a, -4*a = 5*y + q. What is the second derivative of -2*d - 4*d**3 + a*d**3 + d wrt d?\nAnswer: -12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153024 times -0.08?\nAnswer: -12241.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66 + -66.82. Let p = -454.82 - -454. Let d = t - p. Which is the second smallest value? (a) 0.5 (b) -0.5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u - 3 + 7 - 20*u + 8.\nAnswer: -22*u + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*v**2 - 6*v + 1971.\nAnswer: -34*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 0.02 (c) -36 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -8. Let r(k) = -4*k**3 + k**j - k**2 + k - k. Let p(t) = -7*t**3 - 3*t**2. Suppose -4*v + 19 = -1. Calculate v*r(c) - 2*p(c).\nAnswer: -c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 15*b - 15. Let a be y(10). Let t = a + -58. Let h = t + 45. Solve 5*d = 3 + h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -982514, -3930056, -8842624, -15720218, -24562838, -35370484?\nAnswer: -48143156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, -0.2, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**2 + 4*a**2 + 0*a**2 + (0 + 3 + 5)*(3 + 2*a**2 - 3).\nAnswer: 17*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 44\/20 + 8\/10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**2 - 12*b + 24*b - 12*b.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2052*q**3*t**2 + 47*q**3*t + 244*q**3 + 2*q**2*t**2 + q**2*t - 2*q*t**2 + 468579*t wrt q?\nAnswer: -12312*t**2 + 282*t + 1464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -n**4\/12 - n**2. Let t(w) be the second derivative of 19*w**4\/12 + 5*w - 1242. Determine c(t(p)).\nAnswer: -38*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1107935 is divided by 81?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 170, 357, 566, 809, 1098, 1445, 1862?\nAnswer: 2361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 189664031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 16. What is the biggest value in 2\/7, g, 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*u + 4*u. Suppose 0 = -4*s + 3 + 17. Suppose 0 = -2*y - s*d - 10, 3*y + d + 4 = -d. Sort y, -4, u in decreasing order.\nAnswer: u, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 8*h + 3. Let q be c(7). Sort 0, q, -1 in descending order.\nAnswer: 0, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i - 1\/6*i**2 + 7\/6 = 0. What is i?\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of 9*y**4\/4 + 3*y + 4. What is the first derivative of i(r) wrt r?\nAnswer: 27*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 728.3 in 2\/7, 3\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27 - (32 + -5)) + (-2 - (13 - 1)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + y - 6. Suppose 5*o + h = -1, -2 = -3*o - 7*h + 9*h. Give m(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 120.6, -0.3, 336\/5?\nAnswer: 120.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 1\/4, 12.236, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3 + (0 + 1 - 3)*(4 - 4 + 1) + 4 - 4 - 2 + 4 - 4 - 1)*(-21*y + 21*y - 5*y**3).\nAnswer: 35*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 507115, 507113, 507109, 507103, 507095?\nAnswer: 507085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s + 1 - 7*s + 25 - 26.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 (base 8) in base 4?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 105 by -239.\nAnswer: -105\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*d*l**4 - 3*d*l**3 + 87737181*d*l**2 - d*l + 5006113*l**3 - l**2 wrt l.\nAnswer: -96*d*l - 18*d + 30036678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 342927?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 113407035 = q, -q = l - 5*l + 113407023. Let s = q - -73007039. What is s rounded to the nearest 1000000?\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21756 take away 1143168859?\nAnswer: -1143168859.21756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53373825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01134781 rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(9\/4)*l*l*l\/l**10*(l\/l**(-14))\/l**(-8\/5) assuming l is positive.\nAnswer: l**(237\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 - -19. Let y(h) = -392*h**3 - h - 13. Let d(a) = 98*a**3 + 3. Let s(b) = 9*d(b) + 2*y(b). Is s(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12 + 30)*(2 - 5\/3). Let r be (-210)\/(-63) - m\/(2 + 0). Factor 0 + 1\/3*c + r*c**2.\nAnswer: c*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13353 and -815.5.\nAnswer: -10889371.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gu when two letters picked without replacement from {r: 4, u: 7, g: 3}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*o**2 + 28*o**2 - 112*o + 113*o + (-3 + 3 - 7*o)*(2*o - 3*o + 11*o) in the form u*o**2 + c*o + t and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 885160 is divided by 44.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, n: 10, u: 2, m: 1, a: 2, k: 2}. Give prob of sequence ayay.\nAnswer: 1\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -23951, -23950, -23949, -23948?\n\"Answer: x - 23952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zffsfgsggggs. Give prob of picking 1 f and 1 s.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 55*z + 4*z**2 - 52*z - 7*z**2 + 37*z - 48*z in the form i*z**2 + l + c*z and give c.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -358545, -359242, -359939, -360636, -361333, -362030?\n\"Answer: -697*l - 357848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36.6 + -74. Let h = 38.8 + y. Is -1.2 <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5542135*s. Let o(c) = 3*c**2. What is w(o(g))?\nAnswer: -16626405*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of 0*x + 0 - 11\/6*x**3 + 21*x**2 + 3\/8*x**4. Is l(4) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 159757 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6402123067 to the nearest integer?\nAnswer: 1857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j - 7. Let x be b(-7). Suppose x = -2*y + 195 - 11. Suppose 142*c - 139*c = -2*t + 21, -c - 9 = 0. What is the remainder when y is divided by t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6038520 to the nearest ten thousand.\nAnswer: -6040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1*5*(-40)\/100\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1522*322.\nAnswer: 490084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - 34 = 15. Let q = l + 3. Let r(o) = -o**2 + 6*o**3 + 1 - 5*o**3 - o + 4*o**2. What is r(q)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 - (-13 + (-4 - -15))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -402. Let k = -385.999999296 - p. What is k rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, l: 2}. Give prob of sequence nll.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.49 + 0.07. Let l = 1.559505 - x. Round l to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*j + 46*j - 3 - 95*j + 26*j)*(-5*j**3 - 24*j**2 + 46*j**2 - 20*j**2).\nAnswer: -100*j**4 + 55*j**3 - 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 4*r**2 + 1. Let m be i(4). Let p = -1.12 - -1.436. Let h = p + -0.016. Which is the closest to m? (a) h (b) 2\/19 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84 - 11*y**2 + 40 + 43 to s + g*y**2 + b*y and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-404)\/36 - -13) + 2\/9\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*7*2028\/(-14). Let l = o + 3001\/3. What is the common denominator of -79\/10 and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 8:20 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - (-2145)\/35) + 4\/(-14) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-756)\/315)\/(3\/(-5)). Let q(u) = -6*u**2 - 5*u + 0 + 13*u + 4 + 2*u**3. What are the prime factors of q(f)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1338880005.\nAnswer: 3, 5, 103, 151, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5887587 - 10?\nAnswer: 5887577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 9 - 17 + 18 + 9 + 145*h. Is u(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 take away -3.0156?\nAnswer: -34.9844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.9443014 rounded to 3 decimal places?\nAnswer: -43.944","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/6 - (1 + -2). Let m(k) be the first derivative of 1 - 1\/12*k**4 - 1\/3*k**3 - 1\/3*k - w*k**2. Suppose m(p) = 0. What is p?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 1139 = 2*w, -2 = -3*w + 1. What are the prime factors of i?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33\/(-12) + 2 - (-1456731)\/36 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163*b = -167*b + 24. Let v be b\/(-2) + 4 - 0\/(-4). Solve v = y - 0*y - 3*d, 5*y - 4*d = 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51 (base 7) to base 10.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 418 - 393. Solve 5*i = -4*d - r, 5*i + d + 15 = -d for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + sqrt(88) + (sqrt(88) - (-1*sqrt(88) + sqrt(88))*3) + sqrt(88) - sqrt(88))\/(sqrt(192)\/sqrt(6)).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r = 19 - 67 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-26)*i*i*i**(-24)*i)\/(i\/(((i*i\/(i*i**(-13)))\/i*i)\/i*i)*i**(-5\/4)\/i) assuming i is positive.\nAnswer: i**(-127\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y**3 + 3*y - 1. Let o(a) = a**3 - a - 1. Let p(h) = -4*o(h) - z(h). Let k be p(0). Let v be (6\/(-15))\/((-1)\/k). Solve 1 + v = -b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -5 (c) -18885 (d) 0.2 (e) -4\/7 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16143319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1168 and 2012?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dhhhhdhhph. What is prob of sequence phdd?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00011127 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 194*z**2 - 6*z + 8. Let b(u) = 65*u**2 - 2*u + 3. Let t(i) = 8*b(i) - 3*x(i). Let d be t(-4). What is d rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.55 greater than or equal to 21.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide ((-4)\/(-10) - 0)\/(7\/15085)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22001?\nAnswer: 7, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 7\/10, -5 in descending order.\nAnswer: 5, 7\/10, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a**2*h*u**2 + 876908*a**2*h*u + 1203*a**2*u**2 + 2124*a*u**2 wrt h.\nAnswer: -2*a**2*u**2 + 876908*a**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -41*p - 8*p - 9*p**3 + 14*p**2 + 24 + 7*p**3 + 17*p = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 44*g**2 + 2104*g + 947. What is q(73)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*y - 0*y. Suppose y*m - 24 = -9. Let z(h) = -h**3 + 7*h**2 - 3*h + 2. List the prime factors of z(m).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1785167 is divided by 308.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 7*s - 1138. Let l = -98 + s. Calculate the highest common divisor of 26 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/8 - (-181)\/2. Let q = -37 + d. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0726 to three decimal places.\nAnswer: 0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 26077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56790 by 1893.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1146437?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n**(-1))\/n)\/n)**(-4))**(-2\/11) assuming n is positive.\nAnswer: n**(-16\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -346678 + 1386713\/4. Factor 3\/2*v + 0 + b*v**2.\nAnswer: v*(v + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 57*v + 40. Let a be t(3). Let m(i) = -i**2 + 5*i + 1. Let k be m(4). Suppose 340 = k*l - n, 5*l - 2*n - a = 2*l. List the prime factors of l.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48 + 44. Which is the second biggest value? (a) 4 (b) 7\/6 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74525 to the power of 1\/2, to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 786318 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 883051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49281, -49275, -49263, -49245, -49221?\nAnswer: -49191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/7, -0.16, 4, 1, -7314?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -329*a - 151617 = -22102*a + 777877 + 93837 for a.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.0303527 * -0.07\nAnswer: -0.002124689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 4:29 PM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, 1458, -4, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - 12\/(-3) - -2. Let q be (65\/v)\/(2\/2). Let n be ((-2)\/(-10))\/(q\/65). Is n less than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/(-1))\/(-36))\/((-4)\/(-8))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 + 36*m**2 - 84*m + 44.\nAnswer: 4*(m - 1)**2*(m + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2319, 2317, 2315?\n\"Answer: -2*i + 2321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -o**4\/12 - 7*o**3\/3 + 3*o**2\/2 + 7*o. List the prime factors of f(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1215 divided by 1?\nAnswer: -1215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of 0 + 5\/6*j**3 + 2*j + 2*j**2 + 1\/12*j**4. Determine r(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*y + 96 + 3677 = 87*y + 557 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 6 = 8*h, 71 = 2*d + h. Suppose 2*z - 84 = -w + 3*z, -5*z = 20. Let o = w - d. What is the remainder when o is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 30, 1, 0, -4 in decreasing order.\nAnswer: 30, 1, 0, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 137*f**3 - 4158*f**2 + 1442*f - 66. Give p(30).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 23470, 23376, 23282?\n\"Answer: -94*a + 23564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -83\/651?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2312653 is divided by 336?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/10)\/((-2)\/10). Let u be (6\/c)\/(18\/(-60)). Which is greater: u or 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**3 + 16*i**2 - 111*i - 1171. Calculate c(-12).\nAnswer: -991","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 160 + -73. Let i = -50 + d. What is the remainder when i is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**3 - 8*t - 4. Let x(j) = 7*j**3 + j**2 - 16*j - 7. Let v(s) = 9*f(s) - 4*x(s). Let z be v(-4). What is the greatest common divisor of 192 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192687259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n + 3. Let f be q(3). Suppose -i - 17 + 11 = f. Put 3, 0, i in decreasing order.\nAnswer: 3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - o = -11, -6 = -4*o + 14. Let z be h\/12*2*-10. Suppose -209 + 563 = 3*y - 3*g, -362 = -3*y - z*g. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250 is divided by 52.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000284102853 to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + m**3 + 3*m)*(2*m - 1 + 3 + 2).\nAnswer: 2*m**4 + 4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20.3 + -23.3. Let s = 0.494 - 0.094. What is the closest to s in 3, n, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = o + 24. What is the remainder when 47 is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**4 + 18*i**3 - 66*i**2 + 70*i - 24 = 0. Calculate i.\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**3*g*g\/(g\/g**(5\/2))*g*g assuming g is positive.\nAnswer: g**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -5*d - 63*a + 59*a, 3*d = -4*a - 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*n + 3 - 3)*(-n**3 - 12*n**3 + n**3) + (-1 - 2*n**3 + 1)*(7*n - 6*n + 17*n) in the form w*n**4 + h + k*n**3 + v*n + z*n**2 and give w.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/4467911 and 58\/7?\nAnswer: 4467911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163132 is divided by 342?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 8\/7 (b) -574 (c) 0.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10465 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 4. Suppose n = 4*i - 44 - 48. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 at most as big as 288770\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 790829559.\nAnswer: 3, 13, 61, 110807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-3) - ((-6024)\/360 + 6\/(-10)). Let j(s) = -2*s**2 + 28*s + 49. Give j(n).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g. Let n(i) = -7*i - 3. Let w(c) = 4*b(c) + n(c). Suppose 2 = p - r, -3*p = -5*p + 5*r - 11. Calculate the least common multiple of p and w(-4).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -7. Let m be -2*(0 - 10\/(-4)). Let q = v - m. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - o + 81, 2*o = -f + 4*o + 90. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*c + 44*c + f = -11, -4*f = 4*c - 4. Let j(u) = u**3 + u**2 - 6*u - 2. Let s(a) = a**3 + a**2 - 7*a - 3. What is c*j(k) - 2*s(k)?\nAnswer: k**3 + k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m + 8. Let n(s) = -3*s - 7. Give -5*n(k) - 4*x(k).\nAnswer: -k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 1)*(0 + 1 + 2)*(3*x - 2*x + x) to the form z*x + t and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of 4897*p**6\/30 - 91*p**4\/12 - 1562*p + 3. Find the third derivative of o(s) wrt s.\nAnswer: 117528*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5 = -7. Let r(t) be the second derivative of 3*t - 1\/12*t**4 + 0 + 2\/3*t**3 + 1\/2*t**2. Calculate r(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g**2 + g**3 - 1 - 7*g + 4 - 4. Let z be ((-8)\/(-10))\/(2\/(-15)). Let p be w(z). Let k(s) = -s + 6. What is k(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -2\/7, 25, -0.103, -3.9 in decreasing order.\nAnswer: 25, 0, -0.103, -2\/7, -3.9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20185 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 nearest to 2\/5 in 1\/2, 0.1, -5, -108?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -34783, 648, 2\/17, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 699*g**2 + 9. Let b be a(-3). Round b to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2211 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -5*n + f, 0 = -3*n + 4*f + 8 + 22. Calculate the remainder when 50 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.97 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 42 + 327?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 850 is divided by 94?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 4*q - 48 = 0. Solve 0*t - q = -3*t, 0 = -g - 3*t + 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*f**2 - 26*f**2 - 4*f**3 - f**3 wrt f.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 + 35. What is the biggest value in j, 1\/7, 0.1, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03353 rounded to 3 dps?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -587, -751, -1025, -1409, -1903, -2507?\nAnswer: -3221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.19 and 174.\nAnswer: 33.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -26. Let b = r - 18. Solve b*o + k = 10, 3*o + 10 = 4*o - k for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 2*w + 6. Let q = 59 - 56. Find the third derivative of -6*i**w - q*i**4 + 0*i**2 + 4*i**2 wrt i.\nAnswer: -72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 8*q**3 - 5*q**2 - 2*q + 12. Let s(c) = -17*c**3 + 11*c**2 + 5*c - 29. Let h(o) = 5*m(o) + 2*s(o). Calculate h(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + 4*q**2 + q**2)*(3 - 3 + 2*q)*(-35*q + 32*q + 44*q).\nAnswer: 164*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -593704, -1187412, -1781114, -2374810, -2968500, -3562184?\nAnswer: -4155862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + ((-37)\/((-1036)\/3444) - 19).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4221000 to the nearest 100000.\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.68 and -27.\nAnswer: -26.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*r = 3, 3*f - 8*r + 3*r + 3 = 0. Is 6 a factor of (-730)\/6*(f - (-84)\/20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5732*z + 15776*z + 5407*z in the form r*z + b and give r.\nAnswer: 15451","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1071\/14)\/((-51)\/(-68)). Solve d*u = 96*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -132335 + -1?\nAnswer: -132336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/3)\/(((-4)\/30)\/((-23)\/345))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 12:47 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 491444918 to the power of 1\/2, to the nearest integer?\nAnswer: 22169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 5:47 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2791*k**3 + 2812*k**3 + 2803*k**3 - 8414*k**3.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7926298 and 2.\nAnswer: 7926298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52858.\nAnswer: 2, 13, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nlvn when four letters picked without replacement from {n: 3, l: 13, v: 3}.\nAnswer: 13\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -29544 - 5\nAnswer: -29549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 475335 - 146362. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -12 - ((2475\/(-477))\/5 - 8)?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -k**6\/120 - k**5\/5 - 2*k**4 - k**3 + 8*k**2. Let a(y) be the first derivative of r(y). Factor a(p).\nAnswer: -3*(p + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1911 and 1816 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4354, -2, 4, 0 in decreasing order.\nAnswer: 4354, 4, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, 10177, 0, 12, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -69.04013164598 + 0.1.\nAnswer: -68.94013164598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146654424 divided by -9.\nAnswer: 16294936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*l - 8823 = 126803. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) 2\/11 (c) -2 (d) 0.63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43161 divided by 43161?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*j = -j + 120, -w = 4*j - 42. List the prime factors of w.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - f = 2*k - 43, -3*k - f + 32 = 0. Let y be 48\/28*(-3 + k\/4). Let q = -39 + 38.9. What is the nearest to -1 in y, q, -1\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**5\/8 - 5*r**4\/4 - 17*r**3\/8 - r**2 = 0. What is r?\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -120 - -125. Solve -7 - 3 = i*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*c**5 - 47744*c**4 + 5969916*c**3 + 1173580712*c**2 - 373120*c - 73348608 = 0. What is c?\nAnswer: -102, -1\/4, 1\/4, 424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4559 is divided by 2279.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.4 (b) -2\/327 (c) 3\/8 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6136*x + 2547*x + 1838*x.\nAnswer: -1751*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 43\/2 - (-12)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*f + 2462152 + 655496 = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.3 (b) -51.6 (c) 2\/9 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 5*x + 1. Let d(s) = -5*s - 1. Let y be d(-1). Let h be t(y). What is the greatest common factor of 20 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -20 (b) -5\/384 (c) 1\/3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 10*l - 101. Calculate w(-5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 282 and 2?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 60, -104926 in ascending order.\nAnswer: -104926, -2, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2061935 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -10.2?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of 7*c**4\/12 + c. Let t(m) = 0*m - m + 0*m + 0*m + 0*m. Determine t(w(f)).\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*u + 6 = 0, 0 = -x + u - 2*u + 3. Find the third derivative of 2*i**2 + i**2 - i**5 + x*i**5 wrt i.\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -3. Suppose 0*t + 3*t + 9 = n. Suppose 0 = -4*f - 8. Which is smaller: t or f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m. Let w(i) = -16*i. Give -3*b(q) - 3*w(q).\nAnswer: 45*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-five quarters of a tonne?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*j = -113*j + 21. What is the nearest to 2 in 0, 3\/7, -1, j?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1985 + 0.0015. What is the closest to -0.1 in 3, -1, b, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 988685?\nAnswer: 5, 79, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(1*-2) - 804\/(-16). Let m = p + -52. What is the closest to -2\/5 in m, 0.6, 3\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6024 and 24.\nAnswer: 6024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 304 and 5624.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -2) + 7 + (1 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -2.5. Let q(v) = -v**3 - 4*v**2 + 7*v + 7. Let w be q(-5). Suppose 12 = -3*z + 6. What is the nearest to 2\/7 in z, w, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-6140.\nAnswer: -1842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16.266 + 14.266. What is the smallest value in d, -0.5, 80\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1683 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -246*h + 749. Let i be r(3). Calculate the greatest common factor of i and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1254\/4)\/(34\/68).\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (55\/99)\/((-185)\/111)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 8.4. Let z be (1*3)\/((-9)\/(-6)). Suppose 0 = -4*a + 4*w, 5*a - z*w + 7 = -5. What is the closest to 0.1 in y, a, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179.25168 months in decades?\nAnswer: 1.493764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a + 2*a - 2*a**2 + (-a**2 + 4*a**2 + 0*a**2)*(-1 + 1 - 1) + (6*a - a - a)*(a - 4 + 4)*(-1 - 1 + 9) to the form b*a**2 + z*a + v and give b.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*n = v + 404, -2*v = n - 419. List the prime factors of v.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -130605*d**3*p**2*x**2 - d**2*p**2 - 2*d*p**2*x**2 + 36*p**2*x**2 + 9*p*x wrt d?\nAnswer: -783630*p**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 13*l**2 + 10*l - 4. Let v be q(-10). Suppose 7*s - 11*s + v = 0. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 76 and 6.62628.\nAnswer: 82.62628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 212 divide 275551876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13246\/118701 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 714 + 6898. Is z a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -182258719 less than 179?\nAnswer: 182258898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t + 16. Give i(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**2 - 7*z**2 - z**2 + 4 - z**3 + 12*z**2 in the form r + g*z**3 + n*z**2 + b*z and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*n - 6*s + 3*s, -5*n - s = 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001099 rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4145, -6961, -9777?\n\"Answer: -2816*h - 1329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -32, -57, -100, -167, -264, -397?\nAnswer: -572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, k: 3, v: 13}. What is prob of picking 1 k and 1 v?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5083 (base 12) to base 16.\nAnswer: -2223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9366433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -73*n**2. Let h(v) = -734167*v**2. Determine l(h(j)).\nAnswer: -39347086423897*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43 and 523396.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269*f = -261*f - 80. Solve -n = 2*i, n - f = 2*i - 3*n for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z + 0*z + 10*z - 1 + 2*z + 1 + 2 - 2 - z + (3 - 4 - 1)*(z - z + z) + 2*z + 0*z + 0*z - 87 - 74 + 161 + 501*z to the form f + o*z and give o.\nAnswer: 512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Is ((-36735797)\/1330)\/((-4)\/40) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 2*d + 5*s, 0 = -3*s + 2*s + 2. Let j = 28 - d. Suppose 0 = 5*b - 3*b. Solve i + j*i = b for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 218301, 436579, 654861, 873147, 1091437?\n\"Answer: 2*p**2 + 218272*p + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 18\/7, 0.3, 2\/9, -89, 0?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 827*q**3 - q**2 + 105*q - 5. Let s(x) = 413*x**3 + 53*x - 2. Let n(d) = 5*s(d) - 2*v(d). What is the third derivative of n(m) wrt m?\nAnswer: 2466","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 + 13*z. Suppose -42 = -p + 1. Let k(n) = 23 - p - n + 20. Determine k(y(q)).\nAnswer: -2*q**2 - 13*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 11:23 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/32 of a kilometer?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*m - 2*m. Let q = -177 + 180. Suppose v = -7*w + 11*w + 13, -v = q*w + 8. Which is the second biggest value? (a) 0.3 (b) m (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + -20 + -11 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**3 + 9*r**2 + 24*r - 63. Let x be k(7). What is the greatest common divisor of 396 and x?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9388*d*i**3 + 8148*d - 2*i wrt i?\nAnswer: 56328*d*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.0398 (b) 3056 (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243 = 4*b - 209. Suppose b = -12*x + 17. Let c be x\/6 + (-1261)\/(-39). Round c to the nearest integer.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2859*m**2 - 337 + 2859*m**2 - 2*m**3 - 6*m**3 + m**3 + 4*m**3 + (0*m + 0*m + m)*(0*m**2 + 2*m**2 + 0*m**2) as a + o*m + g*m**3 + t*m**2 and give a.\nAnswer: -337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 89*n**2 + 1388*n + 41. What is z(-15)?\nAnswer: -754","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {o: 6, y: 1, e: 4, h: 2, r: 4, i: 3}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/64? (a) 2 (b) -3 (c) 21 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 331, 1224, 2671, 4672, 7227?\n\"Answer: 277*g**2 + 62*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/(4 - 2))\/(-2). Let d be m\/(-1) - (-8)\/(-2). Let k(y) = 3*y**2 + 5*y - 4. Is k(d) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4\/15 - -43\/120. Let d = l + 1\/24. Factor 2\/3*z**4 + d + 0*z + 0*z**3 - 4\/3*z**2.\nAnswer: 2*(z - 1)**2*(z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 17931, 17905, 17877, 17847?\n\"Answer: -n**2 - 23*n + 17955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/72568753 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -573\/3059 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, m: 1, a: 5, s: 2, b: 11}. Give prob of sequence sa.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10\/11 - -48\/77. Which is the closest to d? (a) 5 (b) -4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(-y - 3 + 3)*(-755 + 174 - 214)*(2 - 1 - 2)*(0*y + y - 2*y).\nAnswer: -1590*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1122*((-10 - -55) + -12). What is s rounded to the nearest 1000?\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + n - 22. Let v be u(3). Let y be -2*(35\/v + 5). Sort -6, -1\/4, y, -4 in decreasing order.\nAnswer: -1\/4, y, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6847 and 2747?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 80162206 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - 22. Solve 5*n + 5*f = 15, s*n + n + 4*f = 12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**3 - 413*d + 413*d + (-4*d**2 + 3*d**2 + 2*d**2)*(5*d - 3*d - d).\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6*1.8.\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 2:05 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 42*n**2 - 37*n**2 - 4*n - 6*n - 5*n = 0. What is n?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -209? (a) 2 (b) -0.4 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 6\/485 in descending order.\nAnswer: 2, 6\/485, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*p + 151 - 30 = 91*p for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 10 = -p + 2*c, 0 = 4*p + 4*c. Does 3 divide (4\/p)\/(3\/30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s + 14. Let f be z(-10). Suppose -4*q = -f*p - 4, -3*q - 9 = -0*p + 3*p. Suppose -5*w + 9 = 3*d - 4, -20 = -4*w. Sort p, d, 2.\nAnswer: d, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 335241 and 39951.\nAnswer: 1737","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -103 - -81.4. Let j = 26 + f. Let r = 4 - j. Which is the nearest to -0.1? (a) -1\/2 (b) r (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(2\/5)\/t)**(33\/4)*t**3\/(t*t**(-1\/5)))**(14\/3))**(-2\/93) assuming t is positive.\nAnswer: t**(77\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 + -4 + (7 - -101)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 235832693 and 4954?\nAnswer: 2477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/314 and -99\/34.\nAnswer: 5338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -952 + 547. Let a = s - -405.00000344. What is a rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4800660152?\nAnswer: 2, 41, 223, 65633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 10 = -2*v, -v = -2*m + 6 + 5. Suppose -26*w - 138 = -13*w - 16*w. Calculate the greatest common factor of w and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(200)*-4 + sqrt(200) + sqrt(200) + -5 + (sqrt(200) - (sqrt(200) + -1 + sqrt(200))) - (3*(-1 + sqrt(200)) - (-4 + sqrt(200)*-1)))*4)**2.\nAnswer: 17600*sqrt(2) + 387600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 6*j**3 - 4*j - 4. What is s(-2)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3331\/2, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*m + 43 = 4*l, l = 5*m - 3. Let x = -0.04 + -1.96. Which is the second biggest value? (a) 0.5 (b) x (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -10.3, 22\/5, 10\/593, -6?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6379999, -6379994, -6379987, -6379978, -6379967, -6379954?\n\"Answer: q**2 + 2*q - 6380002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 5 (c) 6 (d) -2\/7 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.924569 nanometers to kilometers.\nAnswer: 0.000000000008924569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + s = 34, -k = -3*s - 68 + 42. Calculate the remainder when 356 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*b = 105*b - 636 - 168 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13\/(39\/(-4))*(-6)\/(-2). Let j(d) = -d - 3. Let c be j(-6). Sort 1, c, n.\nAnswer: n, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 490*f - 171*f + 319*f - 10208 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 3*z**2 - 4*z**2)*(5*z - 5*z - 7*z) - 2*z**3 + 2*z - 2*z.\nAnswer: 5*z**3 - 14*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*13\/(156\/(-10518)) + -11. Is 1738 greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (18\/(-12))\/((-3)\/(-4)) + -56 + 60. Factor -2 - 1\/3*w**3 + 4\/3*w**f - 1\/3*w.\nAnswer: -(w - 3)*(w - 2)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*u - 37*u - 5624 = 0. Do -38 and u have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-18))\/(((-170)\/(-45))\/17).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*x - 402, 0 = -4*x + 2*w + 459 + 77. Calculate the greatest common factor of 4288 and x.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 79014431, 79014432, 79014427, 79014410, 79014375, 79014316?\n\"Answer: -n**3 + 3*n**2 - n + 79014430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 374 and 4.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2, -150\/19 in descending order.\nAnswer: -2, -150\/19, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -f**5\/60 - f**4\/24 + f**3\/6 - 4*f**2. Suppose 2*d - h = 19, -4*d + h = -24 - 19. Suppose 0 = -11*u + d*u + 2. Give r(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2020, 11190, 34674, 79630, 153216?\nAnswer: 262590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.152 + 3.152. Let j = 6.9 - -0.1. Let r = j - q. Which is the closest to 1? (a) r (b) 0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 171, -2, -424, 5 in decreasing order.\nAnswer: 171, 5, -2, -424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-6))\/(((-6)\/(-8))\/1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 550875174.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 - 4*q**2 + 4*q**2)*(-9402*q + 7787*q + 2 - 3).\nAnswer: 1615*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, 1\/4, -1\/132?\nAnswer: -1\/132","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-16) + 2950\/400 + -16\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 13.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - -15. Suppose 4*a - 53 = z. Suppose 3 - a = -4*y. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18, -66, -146, -258, -402, -578?\n\"Answer: -16*g**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/4)*n*n**(-2\/49) assuming n is positive.\nAnswer: n**(139\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11 (b) -2 (c) 0.006 (d) -0.3 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 2*f - 1. Let u(p) = -p**2 - 11*p - 5. Suppose -17*d + 11*d + 36 = 0. Let k(i) = d*t(i) - u(i). What is k(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 52\/(-80)*6 + (-3)\/30. Suppose 0 = 4*z - 2*n - 4, 2*z + n = -3*z - 9. Sort z, j, -10.\nAnswer: -10, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/1222723 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 4*d**2 + 2*d - 2. Let i be w(-1). Let z(f) = -9 - 12*f**2 + 3*f**2 - i - 2*f + 10*f**2. Calculate z(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c + 2*c - 2*c)*(6132 - 6132 + 344*c) to the form x*c + y*c**2 + a and give y.\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -710.6, -2, -3\/5, -5.9?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 6*m + 9. Let l(d) be the first derivative of -3 + 3\/2*d**2 + 5*d. Determine 5*c(o) - 9*l(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 171590524 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**3 - 2*l**4 + l**3 + 2*l**4 - l**4 + 0*l**4 + (-l - 2*l + 2*l)*(0*l**3 + 3*l**3 - 6*l**3) + 2*l**4 - 3*l**4 + 2*l**4.\nAnswer: 3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + m + 16 = 0, 0*m + m = 4. Calculate the smallest common multiple of k and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c**4 - 24908329*c**2 + 710717808*c wrt c.\nAnswer: -36*c**2 - 49816658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13070 - 13075. What is the smallest value in p, 5, -15, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 3. Let h be (1\/5 + 0)\/n. Let a = 584.9 + -585. What is the closest to a in h, -1\/3, 2\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*g - 21*g + 6. Suppose 5 + g = r. What is the greatest common divisor of r and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -3, -7\/3?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81 and 378?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 12*l + 228. What is the least common multiple of 76 and o(-17)?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00695351887 rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l - 5. Let i(k) = 2*k + 1 + 5 - 5*k. Let g = -12830 - -12826. Determine g*s(w) - 3*i(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(132))\/(sqrt(11) + -1*sqrt(44)) - ((2*sqrt(75) + 3)**2 + 4)) + -1.\nAnswer: -314 - 64*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146 + 263 + -111 + -106.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3637335 (base 12) to base 3.\nAnswer: -201210202120112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnnnnnnnnnenn.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*o + 2 - 34, -3*o = 3*z - 6. Solve -z*u - 9 = 15 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*v - 14, 3*v - 2*f = -2*v - 13. Is 121 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -83, -130, -195, -278, -379, -498?\nAnswer: -635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21023 - -131220003?\nAnswer: 131132320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1371544?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is t in t**3\/6 - 135541*t**2\/3 = 0?\nAnswer: 0, 271082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1182600 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 23*n + 59191 = 0. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1825 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40842692 is divided by 1769.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*z = -52*z - 4. Let n(d) = -2*d**3 - d**2 - 3*d - 2. Let i be n(z). Let j be -3 + (12\/i)\/(-2). What is the closest to -0.1 in -0.1, j, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.114 - -0.114. Sort 0.4, s, -3\/7, 1 in decreasing order.\nAnswer: 1, 0.4, -3\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(152) + sqrt(152) + 5*(sqrt(152) - (sqrt(152) + -2*sqrt(152))))\/((sqrt(72)\/sqrt(3)*5)\/sqrt(3)).\nAnswer: 3*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2915 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 10:18 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 24, 1 in increasing order.\nAnswer: -2, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, z: 2, f: 9}. Give prob of picking 1 f and 1 e.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l - 1. Is 2 a factor of p(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51329685 to the power of 1\/2, to the nearest integer?\nAnswer: 7164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5245420 - -14?\nAnswer: -5245402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k = -8*k - 22. Suppose -10*v + k*v - 5 = 0. Suppose 0*y - 3*y + 165 = 2*p, v*p = -3*y + 156. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7192042 minutes to microseconds.\nAnswer: 43152252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 314592658 times 0.1?\nAnswer: 31459265.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931601 a multiple of 1559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 406583*n**2 + 406417*n**2 - 813008*n**2.\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 12, -0.3, -0.5, -184, 51 in decreasing order.\nAnswer: 51, 12, 1\/3, -0.3, -0.5, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 2\/87, 60 in descending order.\nAnswer: 60, 2\/7, 2\/87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 77*z - 35*z - 37*z + 20. Let u be y(2). Let n(p) = -63 + 29 - p + u. What is n(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-6))\/(2\/12). Let q be (-2 + 4)*(14 + f). Suppose 71 = 5*r + 2*v - v, -v = -2*r + q. What is the remainder when 42 is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5725205 + 1?\nAnswer: -5725204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**4\/11 + 68*p**3\/11 - 9*p**2\/11 - 2438*p\/11 - 4232\/11 = 0. What is p?\nAnswer: -4, -2, 23\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/(-220))\/((-8000)\/35200).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 259.1 in -4, 2, -0.6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 5*a - 19. Let b = 2691 - 2695. Give y(b).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 7. Suppose 0*m - m - v = 0. Let s = 0.18 + -3.18. What is the biggest value in m, s, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42642 and 262131.\nAnswer: 161996958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3*sqrt(12).\nAnswer: -2 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35*n**5 - 151*n**2 wrt n.\nAnswer: 2100*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 6 + 3)*((4 - 3 + 1)*(-1 - 2 + 1) + 26 + 2 + 38)*(580 - 580 - 23*s) as x*s + g and give x.\nAnswer: -1426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 747794 - 787*i**2 - 747794 - 437*i**2 to the form k + l*i**2 + q*i and give l.\nAnswer: -1224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -11*x**3 - 8*x**2 + 29*x + 9. Let r(j) = j**3 - j**2 - j + 3. Let b(a) = -c(a) + 3*r(a). What is the second derivative of b(l) wrt l?\nAnswer: 84*l + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r. Let h(f) = 2*f - 6. Let l be h(6). Let y(o) = -6 - o**2 + l. What is j(y(c))?\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 1 + 5)*(-8 + 11*g + 8) + 13*g - 35*g + 40 - 42 in the form k + b*g and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-15 - -4 - -5 - 2 - 0).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.5 - 5. Let g = s - -0.5. Let z = g - -0.9996. Round z to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 18531?\nAnswer: 203841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 225c + 1763?\nAnswer: 39c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -34, -7, -1, 16, 1 in descending order.\nAnswer: 16, 5, 1, -1, -3, -7, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**3 + 103*c**2 - 2*c**3 - 121*c**2.\nAnswer: -c**3 - 18*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 5 - 20*v**3 + 2*v + 6 in the form l*v**3 + p*v**2 + q + m*v and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 27852985 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -70? (a) 0.13 (b) -54 (c) 3\/4 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-4) - (-155)\/558. Suppose 3*h + 8 = -1. What is the nearest to k in h, 0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -696466, -1392925, -2089396, -2785885, -3482398, -4178941, -4875520?\n\"Answer: -q**3 - 696452*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -15, 11, 69, 165, 305, 495, 741?\nAnswer: 1049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83707679.\nAnswer: 11, 691799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*l - 26 = 0. Suppose d + 0*d = l. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.21 (b) -5 (c) -0.2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2905192 - 961.3696192. Let d = n - -874.08004. Let w = d + 87. What is w rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5022, 2928, -10, 4.\nAnswer: -10, 2, 4, 2928, 5022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ukbb when four letters picked without replacement from {b: 2, k: 1, u: 4}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 551887479.\nAnswer: 3, 11, 13, 142939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 10:17 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 417964052?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*c = -64*c - 81 - 109 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5406979, 10813952, 16220925?\n\"Answer: 5406973*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 80479177223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 165\/(-63))\/((-1541)\/993). Let s = 204\/67 - f. Let m = 5\/23 + s. Which is smaller: -2\/3 or m?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 185436194*d + 185436482*d + 17.\nAnswer: 288*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/7 + 148*z**2 + 2*z\/7 - 148.\nAnswer: -2*(z - 518)*(z - 1)*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2714*n - 2726*n + 72 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (34\/(-7))\/(2\/(-14)). Let q = -34 + z. Suppose -5*j - 198 = 2*g - 0*g, -4*j + g - 161 = q. Is -41 less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-20))\/(((-4)\/12)\/1).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3901\/116 less than -35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 32369 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one fifth of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -o**7\/840 + o**6\/180 - 2*o**3\/3 - 1. Let h(s) be the third derivative of x(s). Find the third derivative of h(g) wrt g.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 306328 and 11401632.\nAnswer: 5192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14996*a**4 + 23897?\nAnswer: -59984*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y + 26. Calculate c(32).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of t**6\/2340 + t**5\/156 - t**4\/26 + 5*t**3 - 133. Let b(r) be the third derivative of n(r). Factor b(d).\nAnswer: 2*(d - 1)*(d + 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*m**5\/3 + 20*m**4 + 22*m**3\/3 - 8*m**2 - 8*m\/3.\nAnswer: -2*m*(m - 1)**2*(5*m + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 - 28*y**2 + 182*y - 152.\nAnswer: -2*(y - 4)*(y - 1)*(y + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/463696 and 16\/9.\nAnswer: 4173264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o - 13. Let l be k(-6). Suppose 0 + 19 = n - 4*s, -2*n + l*s + 47 = 0. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**4\/7 - 124*x**3\/7 - 232*x**2\/7 + 3424*x\/7 - 3072\/7 = 0. Calculate x.\nAnswer: -6, 1, 4, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -101 - 24?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 5 + 6)*(-114*o - 259*o - 24*o)*(-2*o - 3 + 3 + (2 + 1 - 4)*(-4 + 4 + 2*o) + 6*o - 4*o - 3*o) - 4*o**2 + 12*o**2 + 8*o**2.\nAnswer: -3954*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -15. Let p(d) be the third derivative of d**5\/60 + d**4\/6 - d**3\/3 + d**2. Let y be p(-5). Solve -11 = 2*n - n + x*t, 0 = n + y*t + 5 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 5356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 e, and 1 u when four letters picked without replacement from {q: 1, u: 3, e: 2, z: 6}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6649321 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 2*w**3\/21 + 7730*w**2\/7 + 29876450*w\/7 - 8991. Factor q(k).\nAnswer: 2*(k + 3865)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 1 + (6 - 17 - 13)*(-1 + 7 - 1))*(8 - 2 - 2)*(2*y**2 - 2*y**2 + 2*y**3) as a*y**3 + v + u*y + f*y**2 and give a.\nAnswer: -976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**(-10)))\/x)**21\/(x*x**(-2))**(-22) assuming x is positive.\nAnswer: x**(-253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 341? (a) -1 (b) -1\/4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7\/10 - -11\/10. Let y = 27 - 26. Which is the nearest to -1? (a) y (b) i (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-20\/9))**(-27))**(-35) assuming l is positive.\nAnswer: l**(-2100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = v + v + 4*g, -5*g = -4*v + 7. Suppose -v*w + 36 = -6*w. Calculate the highest common divisor of w and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41254*r - 3*a = -41256*r + 37, -67 = 2*r + 5*a for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*h**3*n*q - 2901*h**3*n - h**3*q - 8*h**3 + 3*n*q wrt q?\nAnswer: 15*h**3*n - h**3 + 3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**5 - 95*l**4 - 505*l**3 - 745*l**2 - 330*l = 0. Calculate l.\nAnswer: -11, -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1326*u - 1078*u - 100*u)*(-5*u**2 - u**2 - u**2).\nAnswer: 17528*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n. Let j(c) = c**2 - 1. Suppose -1 - 9 = -5*x. Let d be x - -2*1\/(-2). Let y(f) = 1. Let r(i) = d*y(i) + j(i). What is r(q(s))?\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 5:16 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/4)\/(66\/8). Let u = -61\/4 + 281\/20. Let g(l) = l**2 - 7*l - 3531. Let i be g(63). Which is the fourth smallest value? (a) u (b) 0 (c) i (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**2 + 2. Suppose 5*u - 2*w - 189 = 0, -3*u + 4*w = -2*u - 27. Let l(g) = -u + g - g + 31 - 13*g**2. Determine 4*l(k) + 18*z(k).\nAnswer: 2*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 9*g**2 + 15*g + 10. Let v be k(7). Let y(b) = 3*b**2 - 42*b + 55. What is the smallest common multiple of y(v) and 143?\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -80 + 155. Let o(l) = -2*l + 75 - d. Let t(c) be the first derivative of -c**2\/2 - 370. Give o(t(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 271*b + 13986. Determine j(206).\nAnswer: 596","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (((-1197)\/(-54))\/(-133))\/(-1)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, g: 2, o: 2, v: 1, p: 1}. Give prob of picking 1 o and 2 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 77231076\/11 or 7021007?\nAnswer: 77231076\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77 and 42.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -13, -3, 14\/13, -2\/11, -0.4, -10?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**3 - 735*w + 1473*w - 738*w.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/16 - 0) + 0. Suppose -4*i + 6 = -2*l + i, 3*l = -i + 8. Suppose 3 - 5 = -l*f. Which is smaller: x or f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*q = -11, 22 = -n - 5*q + 1. Solve -20 = -n*m - m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 0*s - 2*s + 17 - 10 to the form x + k*s and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k + 1152 = 228. Suppose k*s - 4644 = 6*s. Calculate the remainder when s is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/2*-2*2. Let l be (-9)\/(-4)*(-4)\/(-3). Solve l*a - 10 = -w*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*c + 129*c + 137*c - 407*c.\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 42*j + 834. Give z(-20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2. Let b(h) = -h - 4. Let p be b(-10). Let x(w) = -p*w**2 + w**2 + 0*w + 0*w. What is x(y(f))?\nAnswer: -20*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(304) - (sqrt(19) + 0 + 1 + sqrt(19)))**2.\nAnswer: 20*sqrt(19) + 1901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5547 - 3720 = -3*q. Let p = q - 2179. List the prime factors of p.\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 5*s + 5. Let v be g(-4). Let a be v + 1*2\/2. Let o(y) = -y + 4. Let r be o(3). Solve -9 + r = -a*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*x**3 - x**3 - 14*x**3 + 0*x**3.\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*b**2*z - 11*b**2 + 96*q*z - 600*q wrt z?\nAnswer: -3*b**2 + 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10212 - -13341. What is the smallest common multiple of 298 and w?\nAnswer: 6258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 236 + -164. Let h = 78 - m. Calculate the remainder when 19 is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 432*q + 2 - 403*q + 801*q - 1 to the form n + u*q and give u.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - -6. Let i = t - 9. Factor 3*w - 4*w**3 + 5*w**i - 4*w**3.\nAnswer: -3*w*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.373, 0, -1.493, -3 in descending order.\nAnswer: 3.373, 0, -1.493, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1936 - 1358. Let u = h + -574. Solve -u*f + 0 + 4 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/7)\/((-4)\/(32\/(-18)))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -5*l**4\/24 + l**3 + 3*l**2 + 67. Let z(v) = 10*v. Calculate m(z(g)).\nAnswer: -50*g + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*h - 26937 = -15*h. What is the hundreds digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 511*4\/4 + 4\/(-2).\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 2 + 1 + (2 - -6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -18201*a + 9032*a - 36012*a - 930*a - 2. Let c be u(18). Round c to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/13668 and -83\/898824.\nAnswer: 60221208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 156*k - 631*k + 218*k + 1 - 963*k as b + f*k and give f.\nAnswer: -1220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189 and 11882241?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4*o + 6962 = 0, 4*r - 4*o - 3092 = 6172. Calculate the greatest common divisor of 61 and r.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43356352?\nAnswer: 2, 13, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + u = -52, -92 = -3*o - 0*o + 5*u. Let w be (-6)\/(1 + -3*(-4)\/o). Sort -1, w, -5, -16.\nAnswer: -16, -5, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -2*x + 36 - 31, 0 = -3*x - 3*r - 15 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4067\/42 + (-3)\/(-18). Suppose -2*v + b = 29. List the prime factors of v.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 2) + (-3 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1354?\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 9*m + 537. What is the remainder when c(-31) is divided by 132?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22.4 + -22. Let h = d + -0.3. Let r be 2*3\/12*6. Which is the nearest to h? (a) r (b) -2 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9395?\nAnswer: 5, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -0*l - 2. Let o(y) = 12 - 9*y - 4*y - 2*y - l*y**2. Let k be o(-8). Solve -k = -2*c - 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 6*n + 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n - 3. Let l(q) = q + 6. Let y be l(-3). Let b(i) = -i. Let o(r) = y*b(r) + c(r). Calculate the remainder when 8 is divided by o(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (11 - 9)\/((-4)\/(-766)). Let y = j + -237. What is the remainder when y is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4311617\/33 + -130635. Is a equal to 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5779171 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 20 - 19 - 3*q - 19*q**2 + 4*q. Let v be u(-1). Let l = 6 - v. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.09, -0.4, 4, 1.153 in decreasing order.\nAnswer: 4, 1.153, 0.5, -0.09, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eezez. Give prob of picking 2 z and 1 e.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 10:08 AM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 138 - 1516\/11. Let n = -36 - -36.5. Which is the third biggest value? (a) 5 (b) q (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 5:32 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s\/s**(-7))))**(2\/43) assuming s is positive.\nAnswer: s**(16\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1086.\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -8*w + 34. Let t be h(5). Let k be t*((-10)\/(-12) + -1) + 1. Solve -6*o + k*o - 16 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/30*-1)\/((-3)\/(-10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**2 + v**2 - 4*v**2 + (-4 - 44*v - 142*v + 80*v)*(-v + v + 6*v).\nAnswer: -638*v**2 - 24*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1991*o**3 - 16*o + 360447 wrt o?\nAnswer: 5973*o**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -536760 by 315.\nAnswer: -1704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-17 + 16)\/(5\/2). Suppose -11 = -n + 2*n - 3*w, 10 = 2*w. Let z be (4\/(-12))\/(n\/24). Which is the closest to t? (a) z (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 96*x**2. Let t(o) be the first derivative of -o**5\/30 + 99*o**2\/2 + 89. Let s(n) be the second derivative of t(n). Give a(s(c)).\nAnswer: 384*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 405, 2908, 9697, 22914, 44701, 77200, 122553?\n\"Answer: 357*s**3 + s**2 + s + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, w: 3, z: 3, r: 1}. What is prob of sequence zrw?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, -6, 0, 2, -0.21?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (0 - 0) - 1 - (-162 - -166)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 59. Give p(10).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1047093338?\nAnswer: 2, 523546669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9639 + 18.59871?\nAnswer: 9657.59871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -5*g**3. Let f(u) = -u**2 - 10*u - 11. Let x be f(-8). Suppose 0 = 4*s - 1 + x. Determine w(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 + 4*z. Let v be l(-3). Let t = 5 - 2. Suppose a - v = -t. Solve -a*g = g + 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3617891041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3668*z - 12. Let s(b) = -1. Let o(g) = -l(g) + 4*s(g). Let f be o(-6). What is f rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**2 - 8*u**2 + 13*u**2 + 3*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of f**7\/112 - 7*f**6\/80 + 9*f**5\/32 - 5*f**4\/32 - f**3 + 9*f**2\/4 - 136*f. Suppose h(j) = 0. What is j?\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - y - 5. Determine c(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7133 is divided by 75?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u. Let t(r) = 155*r**2 + 85*r + 85. Let k(d) = -11*d**2 - 6*d - 6. Let w(s) = 85*k(s) + 6*t(s). Give o(w(i)).\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11328*y + 3410 = 5679*y + 5539*y for y.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -13\/4. What is the third smallest value in 0.3, -4\/7, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25351405130 - -3?\nAnswer: 25351405133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**5\/30 + l**4\/6 - l**3\/3 - 2*l**2. Suppose -3*s + 3*r = -4*s - 17, -4*s - r - 24 = 0. Is 14 a factor of d(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50175874673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 14 = 6*m - 4*m, 5*o = -m - 23 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*u + 4*u. What is the remainder when 72 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -642, -1271, -1900, -2529, -3158?\nAnswer: -3787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 193703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/10)\/(1\/(-14)*-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1805 - -1142. Let l = z + 1203. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-225)\/(-6) - -1)*-2. Let n = f - -37. Is 4 a factor of (n\/(-12))\/((-1)\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 + 258*u**2 - 519*u + 260.\nAnswer: (u - 1)**2*(u + 260)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, -0.04, -3, 19 in decreasing order.\nAnswer: 19, -0.04, -3, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 471 = -p, 80 = d + 5*p - 19. Let w = d - 91. Solve -3*h + 2*h = w for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -50, -56, -62, -68?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**3 + 5*f**3 + 0*f**3 - 7*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r\/(r*r**(-8))*r\/(r**(-7\/3)\/r) assuming r is positive.\nAnswer: r**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26822074 is divided by 31?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a*h*n - 23*a*h - 174*a*n - 243*a + 1069219*h - 2*n wrt a.\nAnswer: -h*n - 23*h - 174*n - 243","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 56 = -21. Let h = w - 5. Let r(z) = 3*z - 1. Determine r(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -26*s**2 - 6*s + 17. Let x be a(2). Let i = x - -528. Does 10 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzah when four letters picked without replacement from acuzuhhuuzch.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 3*y**2 + 2*y - 1. Let x be h(-4). Suppose -f - 5*m - x = -24, -5*f + 5*m + 55 = 0. Suppose 0*q - 3*v = 3*q - 33, -v = 2*q - 20. Is f <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 0)*(67 - 67 + 18*y**2)*(11*y + 7*y - 9*y).\nAnswer: -648*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h + 6. Suppose f = -0*f + r - 2, -5*r - 38 = 3*f. Let m be o(f). Suppose 5*q - 5*y - 50 = m, 49 = 3*q - 5*y + 11. Solve 2 = 4*i - q for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -180c (base 15) in base 3?\nAnswer: -21010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -15) + -8 - 3 - (2 - 11)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 261 and 7810947?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nuun when four letters picked without replacement from {u: 4, n: 6}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -145640, -285022, -424404, -563786, -703168?\n\"Answer: -139382*i - 6258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 154566 or -538?\nAnswer: -538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 15 = 17. Suppose 9360010 = 3*g + 2*k, 2*g + 3*k + 6239985 = 4*g. Suppose -z*a + g = -8*a. What is a rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - 8) + 12 - (-33 - (-1 + -1)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/9 + 2*a**2 + 8*a\/3 - 40\/9.\nAnswer: -2*(a - 10)*(a - 1)*(a + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -1545*p. Let o(r) = 69*r. Let g(k) = -45*o(k) - 2*u(k). Let w(a) = -14*a. Determine w(g(v)).\nAnswer: 210*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/3)\/(b*b**(-2)\/b))\/(b**(-3\/4)*b**(1\/3)))\/((b**4\/b**(-3))\/(b*(b*b**(2\/7)*b)\/b)**(-27)) assuming b is positive.\nAnswer: b**(-5597\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 12, -4, 14, -2, 1487, 4 in descending order.\nAnswer: 1487, 14, 12, 4, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**(-1\/9)))\/p*((p**(7\/2)\/p*p*p)\/p)\/p*(p**(-1\/4))**(-21))\/((p*p\/p**(-4))**21)**(-4) assuming p is positive.\nAnswer: p**(18383\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g + 4. Let a be j(10). What is the tens digit of (a\/(-10))\/(((-2)\/(-2))\/125)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -11*t + 210. Let s be ((-14)\/t)\/((-1)\/9). Solve 0 = d + 1, -3*u + 7*u = -s*d + 13 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7770 - 5064. List the prime factors of g.\nAnswer: 2, 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1146924 + 3888409\/3. Let m = -151121 + b. Let z = 1929 + m. What is the common denominator of z and 31\/11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2038*t = 2091*t + 371 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (76\/684)\/((-2)\/24).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**3 - 92268570*n**2 - 184537149*n - 92268576 = 0 for n.\nAnswer: -1, 30756192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 44. Let l be o(0). What is the highest common divisor of l and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34*f**2 + 2*f**3 + 17*f**2 - 5*f**3 wrt f.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 17*t - 86. Is 39 a factor of y(27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229920750*v + 229922113*v + 2*v**3 + 0*v**3.\nAnswer: 2*v**3 + 1363*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 80 = 2*y - 6*y, 2*y = 2*h + 60. Calculate the remainder when 96 is divided by y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -9*f - 3. Let h be k(-18). Let c = h + -89. Suppose -c = -11*d + 370. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -98 + -59539?\nAnswer: -59637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 35*o + 8. Let a(l) = -13*l. What is a(t(k))?\nAnswer: -13*k**2 - 455*k - 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 26*m**2 + 465*m - 36. Let f be t(-18). Let k = -5 + 10. Let l be (-2 - 28\/(-5))*k. What is the greatest common factor of f and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 10, 8, -11, 1 in descending order.\nAnswer: 10, 8, 1, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -1. Let u(d) = 1 + 129*d - 6*d**2 + 5*d**2 - 125*d. What is the units digit of u(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*l = 90. Let s = 341 - 329. Calculate the greatest common factor of l and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69767766 divided by -23255922.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4458 - -8767. Suppose -p = 2*u + 1887, -2*p - 3*u + 532 - z = 0. Let j = -26515\/14 - p. Find the common denominator of -65\/12 and j.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 143631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/5)*(w*w*w\/(w**1\/w)*w*w)\/w)\/(w**(-5\/2)*w**(4\/5))*w\/(w\/(w\/w**(-2)))*w*w*w*w\/w**(2\/11)*(w**0*w)**47 assuming w is positive.\nAnswer: w**(6503\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146981268.\nAnswer: 2, 3, 7, 109, 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 831663\nAnswer: -166332.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2751*f = 15158*f + 297768 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/10 + 333*m**2\/10 - 14268*m\/5 + 13448.\nAnswer: -(m - 164)**2*(m - 5)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9329\/7 + 1337. What is the closest to 0.1 in 3, a, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5 = -3*v - 0*v, 3*j - 35 = -4*v. Put -2, -10, -1, v in descending order.\nAnswer: v, -1, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 - -52. Let v = -9 + 11. Suppose 2*z - 40 = -v*z. Calculate the smallest common multiple of z and l.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 840 and 6989080.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/574 (b) 87 (c) 2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 510 = -21*a - 10*a - 3*a for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 13985*d - 7004*d - 6992*d - 28 as n + y*d and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 225*c - 5097. Let t(w) = 94*w - 2039. Determine -12*t(y) + 5*z(y).\nAnswer: -3*y - 1017","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 j, and 2 y when four letters picked without replacement from {x: 2, o: 1, y: 2, j: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*m + 6 = 0. Let w = m + -4. What is the lowest common multiple of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/4)\/((-5)\/280). Let n = a - 52. Let z = -31 - n. Let c(f) = -f**3 - 7*f**2 - 2. What is c(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o**2 + 6*o + 6. Let y(r) = r**2 + r + 1. Let k(j) = -6*y(j) + z(j). Let q(p) = -5*p**2. Determine q(k(x)).\nAnswer: -405*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -0*q + 2. Let o(n) = -15*n - 70. Let p be o(-6). Let z = p - q. Does 21 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 969356?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/15 + 2592\/1080. Solve 58 - 71 = -t*v + 5*j, -11 = -v + 4*j for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i - 696 = 2004. Let q = i + -159. Suppose 235 = 3*z - 5. Calculate the remainder when z is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 + -83\/2. Put 4, r, -0.4 in increasing order.\nAnswer: -0.4, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1059 and 2117\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -22. Which is the closest to 2\/3? (a) -5 (b) o (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 6 = 0, 2108*y - 31 = 2112*y - 5*v for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-32) + (-6)\/(-8). Let y = 156\/5 + -31. Let q = -5.1 + 10.1. What is the closest to x in y, q, -6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -0*t + 3*t. Suppose t*s = 2 + 38. Let w = 47 - s. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6802 and 494.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*x = 3*u + 3, 4*x - 2 = -5*u. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1127 or -1126?\nAnswer: -1126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1928125 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276208195?\nAnswer: 5, 107, 516277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 3\/4, 0.5, -4.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-84)\/210)\/(1\/(-5)). Differentiate -97*h**a + 410 - 107*h**2 - 423 wrt h.\nAnswer: -408*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 71.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, 101, 0.2 in ascending order.\nAnswer: -1\/10, 0.2, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -4*r**2 - 3*r + 742. Let o(j) = -1. What is n(v) - 2*o(v)?\nAnswer: -8*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 15*z**2 + 36*z + 16. Determine o(-17).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 5, 1, 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2\/7, -172, -1\/3, 5 in descending order.\nAnswer: 5, 2\/7, -1\/3, -1, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 8*t - 87. Determine c(-18).\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3328 divided by -256.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 6)*-1*-18. Suppose t = 5*h + 47 + 35, h = 4*t - 271. Suppose t = 4*y - q, -2*y + 2*q = 9 - 35. What is the greatest common factor of b and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76352693*-0.2\nAnswer: -15270538.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*((f\/f**0)\/f*f)\/f*f*f)**(-46)*f**(1\/2)\/(f*f**(-10)*f) assuming f is positive.\nAnswer: f**(-259\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.527 in 2\/5, 0.3, 13393?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10755 - 10777.142. Let m = 0.242 + g. Round m to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*j + 731 = 221*i - 245*j, 2*i + 4*j = 74 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/49, 4, 1\/4, -14, -3\/2, -118?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 + -3 + -2 + 84975 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/13 + (-74)\/(-26). Let o(r) = 19*r**2 - 13*r - 4. What is the tens digit of o(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.3 - 4.86. Let k = 34.3 + -35.3. Sort 2\/15, k, q, 0.2 in descending order.\nAnswer: 0.2, 2\/15, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 0*a**4 + 2\/15*a**5 + 0*a - 1\/6*a**2 - 2 - 2\/9*a**3 + 1\/18*a**6. Determine g so that k(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -30. Let c be (-2)\/(-1 + -1)*19. Suppose -6*h = -c - 53. What is the lowest common multiple of h and g?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-94*d - 31*d + 12*d)*(-8 - 1 + 2).\nAnswer: 791*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -4\/5, -8, 1\/4, -9?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21454 divided by -143?\nAnswer: -21454\/143","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-12)*j\/(j\/(j*j**(-1\/19)\/j)*j*j)*j)\/(j**2\/j**(-4\/7)) assuming j is positive.\nAnswer: j**(-2078\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2394\/(-456))\/((-3)\/(-4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - i - 8. Let t = i - 10. Let f(a) = -7*a - 156 - a**3 + 4*a - 6*a**2 + 154 + 2*a**3 + 4*a**2. What is f(t)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27618\/7 - 3952. Let x(d) = 15*d**2 - 3*d + 2. Let k be x(3). What is the common denominator of f and 30*(k\/(-70) - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 793\/6, -2\/43, -1 in descending order.\nAnswer: 793\/6, -2\/43, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237 = -4*w - m + 2471, -5*w + 3360 = -5*m. Calculate the remainder when w is divided by 85.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 6)*(4*x - 4*x + 3*x) + x + 1 - 1.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 557 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8555439953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*z - 6*z**4 - 7 + 7 - z**3 + 0*z to u*z**2 + f*z + r*z**3 + g + s*z**4 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 f when two letters picked without replacement from {k: 8, f: 3, i: 3, q: 3}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1530, -2994, -4418, -5802, -7146?\n\"Answer: 20*t**2 - 1524*t - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12) - sqrt(84)\/(sqrt(14)\/sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 284 + 92?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8507517 - 12202981.\nAnswer: -20710498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -8, -0.2, 6\/7 in ascending order.\nAnswer: -8, -0.2, 6\/7, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 21 times 729.22\nAnswer: 15313.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -329\/489 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 8*y + 10. Let g be u(-7). Suppose -g*o = -5*j - 35, o - 4*j = -6*j + 8. Let m = -7 + o. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*d. What is the third derivative of d*a**4 + 6*a**2 + 0*a**2 - 3*a**4 wrt a?\nAnswer: -72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -309.9 + 293. Let y = -4.29 - 12.71. Let o = n - y. Sort -1\/2, -5, o.\nAnswer: -5, -1\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 0*d**3 + 1\/35*d**5 + 1\/2352*d**8 + 0*d - 1\/210*d**6 + 2*d**2 - 1\/490*d**7 + 0*d**4 - 79. Solve p(v) = 0 for v.\nAnswer: -2, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -4*t - j, -t + j - 17 = -3*t. Suppose -1 - t = -4*y. Solve -4*u - 6 = -8*h + 3*h, h + y*u + 10 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 10*y - 9. Let t be w(6). Let q(s) = t*s - 8*s + 0 + 4 - 9*s. Calculate the remainder when 27 is divided by q(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-9) + (-4)\/(-1)*18\/(-72). What is the closest to t in 5, -12, 13\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnn. What is prob of picking 3 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.17085239391 and 8867.\nAnswer: 8866.82914760609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 6 = -2*y, y + 21 = -z - 4*y. What is the closest to z in -9\/10, 21, 4, 1?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 6*o**2 + 5*o + 1. Let l be u(-3). Which is smaller: 9 or l?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - t - 9 = 0, -w + 17*t + 12 = 12*t for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 8*p**2 - 861*p + 11653. Give w(14).\nAnswer: 1167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.5 <= 2563?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 0 + 0*z**2 + 37*z**3 - 27\/14*z**7 + 0*z**5 + 0*z**6 + 0*z**4 - 157*z. What is the second derivative of j(g) wrt g?\nAnswer: -1620*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*z**2 + 6*z + 1816 wrt z.\nAnswer: 20*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4876551059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.07 - 0.18. Let v = o + 0.11. What is the third smallest value in 5, v, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -9*c - 1\/12*c**4 - 1\/2*c**3 + 0 + 3\/2*c**2. Determine h(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -0.1506\nAnswer: 0.04518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-205 - -214) + -2 + (-6 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 392*p - 395*p = -1221. Let k = p + -403. Solve k*i + 2*v = -2, 6 + 23 = 2*i - 5*v for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmccccmmmxcmwmccx. Give prob of sequence cm.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42714 + 99050. What is the thousands digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(6\/8 - 42\/48). Solve 5*t = 2*t + 3*m + 18, 2*m = -z for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -23. Let s = v + -18. Suppose r = s*r + 3, -3*f + 28 = 5*r. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.08 and -16.\nAnswer: 1.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -3*m + 88. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101\/((-5959)\/1593) + 1084\/40.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*t + 80, n + 5*t - 61 = 17. Let r be n\/24 + (-2)\/(-6). Sort -1, r, 0.\nAnswer: -1, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73 by -84932.\nAnswer: -73\/84932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.911 - -1.111. Let a = 25 - 8. Which is smaller: a or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/(-380) + (-1866)\/(-70908)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152, 596, 1380, 2540, 4112, 6132, 8636, 11660?\nAnswer: 15240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 7. Let k be 119\/21*(-6)\/(-2). Let i = k - 14. Solve 0 = 5*p - y*b + 45, -i*p + 6*b - b = 40 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/1789961?\nAnswer: 3\/1789961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7.66459 and -0.0415.\nAnswer: -0.318080485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 981 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(((k*k\/(k\/k**3))\/k)\/k)*k)**50*(k*(k**(-1\/3)\/k)\/k)\/((k\/(k*k**(-6\/5))*k)\/k*k))**(-1\/34) assuming k is positive.\nAnswer: k**(53\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 5:55 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + i**2 + i. Let t(z) = -z**3 + 79*z**2 + 475*z + 400. Let c(p) = -p**2 + 10*p + 6. Let k be c(11). Let o(w) = k*l(w) - t(w). Solve o(y) = 0.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (6\/2)\/(-20 + 21).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-176)\/160)\/(1\/(-40))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.630095245 plus 3.2?\nAnswer: 4.830095245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-63)\/(-315)*5\/(-7). What is the nearest to -2 in 1\/2, 0, -0.07, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07361 rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 13*h - 26. Let m(s) = -56*s + 108. Let b(o) = 26*f(o) + 6*m(o). Determine b(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 44 = 14, -127*l = -125*l + 2*p + 50 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -19453061 and -19453059 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2210 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -111710, -446012, -1002914, -1782416, -2784518?\n\"Answer: -111300*o**2 - 402*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12 - 1) + 21008\/400 - (2 + 1). Are v and 36 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + 247?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 821368 and 62.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30.7 - -14.7. What is the third smallest value in m, -0.13, -2?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 264*s - 455 + 228 + 228. Let m(b) = -b**2. What is m(q(o))?\nAnswer: -69696*o**2 - 528*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7410021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 410428582 to the power of 1\/2, to the nearest integer?\nAnswer: 20259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 31 = -j, -3*j + 4*w = -7*j + 92. Suppose -5*h + 2*h = -d + j, -3*d + 3*h = -75. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from llnnll?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -0.0031767 (c) 5 (d) 0.1 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*s = 155*s - 12 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06634 * 10.\nAnswer: -0.6634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 19\/114*9\/(2538\/(-12)). Suppose 3*y - 4 = -1. Does y = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 484*x**5 + 6587020*x**4 - 2994307*x**3 - 1456240*x**2 + 408309*x + 122490 = 0.\nAnswer: -13610, -3\/11, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13604.053742 - 13604. Let a = i + -0.0533. What is a rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1023 is divided by 195.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -152 - 2522*m**2 + 355 - 203 + 329*m**2 as p + v*m + q*m**2 and give q.\nAnswer: -2193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 divided by 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.04107g to micrograms.\nAnswer: 9041070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gz when two letters picked without replacement from {g: 2, z: 1, w: 2, f: 1, b: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2963 + -65141\/22. Calculate the common denominator of k and 99\/2386.\nAnswer: 26246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 375 - 171. Suppose -23*c - f = -26*c. Let r(j) = 4*j + 1. Let s be r(4). Calculate the highest common factor of c and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2*h**2)*(0*h + h + h)*(2 - 2 + 2) + (-h + 3*h + 0*h)*(0*h**2 + 4*h**2 - 6*h**2) + 6*h - 4*h**3 - 6*h as t*h**2 + m*h**3 + c + u*h and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -10*q**3 + 26*q**2 + 20*q + 15. Let s(k) = 2*k**3 - 5*k**2 - 4*k - 3. Let n(w) = -2*d(w) - 11*s(w). Is n(-3) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2839*o = 1923*o - 78776 for o.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -7*y**5\/20 - y**2\/2 + 5*y. What is the derivative of f(w) wrt w?\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4 = 2. Let l = -16 - -11. Let r be ((-2)\/(-8))\/(1\/3). What is the closest to w in l, r, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -4*l + 1. Let z be o(-2). Suppose -z = -2*n - 7. Is n at most as big as -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70\/9 + 332\/45. Let f = 100\/3 + -33. Let r = 0.09 + -0.69. Which is the nearest to k? (a) f (b) r (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1265936128 to the power of 1\/5, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 688 + 6*t + 21*t - 344 - 342 as q*t + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 13*a**2 - 76*a + 12. Let b(t) = 57*t**2 - 306*t + 48. Calculate -2*b(y) + 9*v(y).\nAnswer: 3*y**2 - 72*y + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/461240 <= 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/330)\/(-4*(-18)\/(-240)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 4:22 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - -2)*1\/2. Let i = 0.178 - -0.592. Let s = -0.23 - i. Sort -0.5, k, s in increasing order.\nAnswer: s, -0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x + 4. Let u = 13 - 13. Let h be u*(-1)\/2*2. Calculate n(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i = -6*i. Suppose u + i = 9. Solve -2*n - 1 = -u for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 190 (b) -300 (c) -6\/11 (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -318 + -423. Let k = d + 1412. What is k rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2378 - -2378.00084. What is j rounded to 5 decimal places?\nAnswer: 0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -93 - -90. Let i(m) = -12*m - 20. Let a be i(s). Suppose -a*y + 18*y - 4 = 0. Solve 0 = -w + q + 3, -y*q - 5 + 0 = -w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence at when two letters picked without replacement from {m: 2, c: 3, y: 2, a: 2, k: 1, t: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*o - 13*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*n**3 + 4*n**2 + 22*n + 53.\nAnswer: 84*n + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 494163001 to the nearest integer?\nAnswer: 22230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 348 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cajxxpcpcmxm. What is prob of picking 1 c, 1 j, and 1 a?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*c = 0. Suppose 0*z + 4*z + 40 = 0. Let r = c - z. Calculate the highest common divisor of r and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**5 + 1428*m**4 - 13188*m**3 - 4276*m**2 + 42384*m - 26352 = 0 for m.\nAnswer: -366, -2, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-156)\/(-10582)*53\/(-4). Let d = 1\/74 + w. Suppose -j + 4*x + 3 = -4*j, -4*x = 0. What is the biggest value in -6, j, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1290 (base 11) to base 3.\nAnswer: -2021221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -163, 0, -2 in descending order.\nAnswer: 0, -2, -21, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 5:20 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 1315215*g.\nAnswer: -1315215*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -j**3\/3 - 33*j**2\/2 + 44*j + 705. What is d(-34)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27 + 25 - 253*i - 1067*i**3 - 246*i + i**2 + 498*i as q*i**3 + c*i + s + x*i**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((((-6)\/(-14))\/(-3))\/(51\/306))\/(14\/49)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 + 95 = -2*d. Which is the nearest to 0.1? (a) 21 (b) d (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2 + 7*m + 3. What is t(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t\/(t\/t**(-9)))\/t*t**(-3))\/(t**(3\/7)*t*t*t*t)**(-28) assuming t is positive.\nAnswer: t**112","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 0, -4, -9, 1 in ascending order.\nAnswer: -9, -4, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21105 - 21045. Solve 90*f = a*f + 240 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1400\/80*(3\/9)\/((-20)\/12)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of 1\/12*x**4 - 2*x**2 + 1\/6*x**3 - 5*x + 0. Give t(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -10*g**4\/3 - 74*g**3\/3 - 122*g**2\/3 + 2*g\/3 + 20 = 0?\nAnswer: -5, -2, -1, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 2*c - 2*c)*(-8209 + 1235 - 1346).\nAnswer: 8320*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -b**8\/240 + b**4\/12 + 4*b**3 - 9*b. Let i(n) be the second derivative of r(n). What is the first derivative of i(h) wrt h?\nAnswer: -28*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-28)*(-198)\/165?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4938 - -4950. What is the highest common factor of d and 4674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 2. Let g = 4.7 - 1.7. Let z = i - g. What is the third biggest value in -2\/3, 4, z?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -289307\/94 and -3077 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -114 - -126. What is the greatest common factor of 3 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101111222000010 (base 3) to base 5.\nAnswer: -2412323441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55*i**3 + 61*i**2 - 6363*i wrt i?\nAnswer: -330*i + 122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57 - (-3 - (-2 + -1)).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -13 and -99490.\nAnswer: -99503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2451538 plus 4.79701?\nAnswer: 2.5518562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1811 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 d(v) = -10*v**2 - 6*v. Let j(c) = -31*c**2 - 16*c. Let l(q) = 8*d(q) - 3*j(q). Let m(t) = -16*t. Determine m(l(o)).\nAnswer: -208*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, g: 17}. Give prob of sequence gig.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-11) + (-7784)\/1463. Let f = j + 146\/19. Let r = 1201\/2 - 584. Find the common denominator of r and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkyyyzkylylkyllly. What is prob of picking 2 l?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.53 + -18.7. Let m = -10 - d. What is m rounded to 2 decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11353154 + 3?\nAnswer: 11353201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-8))\/(5\/(-3630)). Let q be (-5 - (-108)\/20) + u\/(-5). Which is greater: 74 or q?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 101.7 - 101.8. Which is the closest to 2? (a) 21 (b) i (c) 2\/7 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57 + 294769\nAnswer: 294712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*v + 46 = 154*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 494801?\nAnswer: 37, 43, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j + 4*j - 2*j + 5*j - 135 + 138 + 6*j.\nAnswer: 8*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 3, u: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 3:30 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (131*o + 262*o - 138*o + 1)*(11 - 5 + 3 + 2).\nAnswer: 2805*o + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 36 = 4*v - s, 3*v + 3*s = -36. Suppose -m + 3*h + 12 = 0, -m + 13 = -5*h + 1. Let p = v + m. Which is bigger: -1\/4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 + -30. Suppose 3*m - 4*m + 35 = w. What are the prime factors of m?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14.75 * -3\nAnswer: 44.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 356720961?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.18819, 1\/4, 267 in decreasing order.\nAnswer: 267, 1\/4, 0.18819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 32902477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -94356 (base 13) to base 9\nAnswer: -445406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/(-7))\/(-2))\/((-12)\/(-1260)*30).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - 1. Let d = -0.06 - -0.07. Let x = d - 0.01. Sort x, -2\/11, s in increasing order.\nAnswer: s, -2\/11, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {m: 2, c: 5}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -3243.91884 and 1.\nAnswer: -3242.91884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -8*w**2 + 11*w - 9. Let c(a) = -12*a**2 + 17*a - 14. Give -5*c(f) + 8*r(f).\nAnswer: -4*f**2 + 3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (21\/14)\/(6\/4). Suppose -3*i = 4*c - 17, 0*i + v = -i. Suppose c*g - 13 = 12. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1463417 and -32?\nAnswer: 1463449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45119, 48248, 51387, 54542, 57719, 60924, 64163, 67442?\nAnswer: 70767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 2, x: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -8 (b) -3 (c) -6.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4080 and 544.\nAnswer: 8160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -877, 0, -1, 3, 4.\nAnswer: -877, -1, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/23155 and 63\/3312430.\nAnswer: 1394533030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -11, -50, -125, -248, -431?\nAnswer: -686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003999064 rounded to 4 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75*s**2 + 5609 - 5609 to the form u + o*s**2 + n*s and give o.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 1.158342.\nAnswer: -0.4633368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172 + 10*x + 120 + 82.\nAnswer: 10*x + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b + 4*b**2 - 28 + 13 + 15 as f*b + o + m*b**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2497679773.\nAnswer: 2497679773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ocotoiicotoootoc. Give prob of sequence tc.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20*n**2 + 39 + 58*n**2 - 5 - 4 wrt n?\nAnswer: 76*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 717186358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*c - 2*o - 1244 = 0, -3*c - 5*o = -3754. Suppose 14*x - c = -10*x. What is the highest common divisor of 12 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - e6?\nAnswer: -e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1074658276 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a + 1. What is the common denominator of -43\/4 and m(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 146 - 144. Solve 0*q - g*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -4. Let j = 23 - 14. Is 14 a factor of 1 + j + 2 + t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 10*a**2 + 3*a - 10. Let w be l(-9). Suppose 0 = -v - w - 7. Is v greater than -51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -13*m + 117. Let u = 21 + -5. Solve m*z - u*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -59?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) 0.9 (b) -10 (c) -0.4 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 457*v + 782. Calculate b(-2).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -7*j + 4*m - 16, 4*m + 8 = -2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 5*p**2 - 136*p - 66. Let y(v) = v**2 - 27*v - 13. Let s(r) = 2*o(r) - 11*y(r). Let k(z) = -24*z - 12. Let h(c) = -5*k(c) - 4*s(c). Factor h(w).\nAnswer: 4*(w + 1)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54947?\nAnswer: 23, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + -55 - -23) + 9 - 26?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 567868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2 + 2 + 4. Let u(n) = -n**2 - 24. Let b(s) = -34*l(s) - 6*u(s). What is the derivative of b(m) wrt m?\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i - 6. Give d(-22).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 137261209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 6:31 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 2*p**2 + 3*p. Let s be x(3). Suppose 222 = -2*q + 2*k, -k = -2*q + 4*k - 231. Let l = -217\/2 - q. Which is bigger: l or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 - 14 = 5*p + 2*i, -3*p - i = -34 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101 + -1092 - ((-142)\/(-6) - -5)\/((-22)\/(-9))?\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7214263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1993 + 1988. Sort -4\/3, 2, 1\/10, c.\nAnswer: c, -4\/3, 1\/10, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 1 + -11 + 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.709 microseconds in milliseconds?\nAnswer: 0.059709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)\/sqrt(3)*3 - sqrt(52)) + (sqrt(52) - sqrt(468)*2))\/((sqrt(64) + 6*(sqrt(64) + -1*sqrt(64)) + sqrt(64) + sqrt(64))*4).\nAnswer: -sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of z**4\/2 + 4*z**3 - 49*z**2 + 132*z + 14461. Find k such that h(k) = 0.\nAnswer: -11, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g - g + 0 - 2. Let d(u) = 2*u + 2. Suppose 3*r - y = 13, -1007*y - 45 = -5*r - 1002*y. Give r*q(s) + 3*d(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 4*n - 32174, -3*n + 21*i = -17761 - 6482. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -201, -407, -619, -843, -1085?\nAnswer: -1351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21729 * 9.2.\nAnswer: 199906.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbi when three letters picked without replacement from {i: 1, f: 1, b: 3, n: 3, a: 2}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98, -197, -296, -395, -494, -593?\nAnswer: -692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*v + 83*v - 5*t = 41*v - 65, -4*t - 32 + 77 = -6*v - 7*t for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -2*l + 5*k, -35*k = -3*l - 37*k + 68. Solve -22*p = -11*p + l for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 121 + -84. Let q(x) = 3*x - 5. Let d be q(10). Let y = j - d. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*p - 8 = 89*p - 3*t, 3*p + 9 = 3*t for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2. Let i be o(-2). Suppose 2*b = -i*x + 134, -b + 3*b - 122 = 2*x. Suppose -r + 4*r - b = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -353*c**2*l - 669*c**2*p**2 + 4*c**2*p + c*l*p**2 wrt l.\nAnswer: -353*c**2 + c*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.57473 + -0.42527. Put 1.6, -0.1, f in ascending order.\nAnswer: f, -0.1, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2515*x**2 + 4*x + 1249*x**2 + 1270*x**2. Give q(-6).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1 + (0 + 1 - 2)*(0 + 3 + 0))*(11*t - t + 21*t).\nAnswer: -62*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 803327754.\nAnswer: 2, 3, 133887959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10730 divided by 2146.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*g = -151*g + 6096. Suppose 6*k = 2610 + g. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -5*p + 5*t + 11, 0 = -2*p + 4*t + 34. Let n(q) = 1. Let h(r) = 77*r + 462. Determine p*h(a) - 462*n(a).\nAnswer: 77*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 69012 and 1944?\nAnswer: 138024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*s + 29*s - 18*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 c when four letters picked without replacement from {a: 6, c: 13}?\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 142 and 44020.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 190 (c) 0.5 (d) 1 (e) 7 (f) 0.2 (g) -4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j**3 - j + 4*j - 3*j.\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 j, and 1 g when three letters picked without replacement from bggggbjbbbgbgggbbgj?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9309561, -18619133, -27928705, -37238277, -46547849?\n\"Answer: -9309572*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**5 + 3*r**5 - r**5 + 0 + 0 + r**5 + (-2*r**3 + 0*r**2 + 0*r**2)*(0*r**2 - 3*r**2 + r**2) - 2*r**5 + 0*r**2 + 0*r**2 + 8*r**5 - r**5 - 17*r**5.\nAnswer: -9*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -550 - -799. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1649 - 1049. Suppose 7*l - 17*l + r = 0. Is l a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -143c059 (base 13) to base 12\nAnswer: -219979a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 621258 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3*(0 + 113\/6*4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**2\/3 + 1720*u\/3 - 184900\/3 = 0.\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/48)\/(-4*(-7)\/(-336)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r - 7. Let o be z(-9). Suppose -o*p - 1 = -9. Suppose 0 = 3*d + 1 - p. Solve 1 + d = -u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 38*z - 333. What is the smallest common multiple of 78 and l(-20)?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2789, -5495, -8201?\n\"Answer: -2706*x - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(832) + 1)*5*3*1*1*-1*-1)**2.\nAnswer: 90000*sqrt(13) + 4685625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -393308*m**3*w**2 - 3*m**3*w - 95*m**2*w**2 + 33*m**2 - 3*m*w**2 + 3*w**2 wrt m.\nAnswer: -2359848*w**2 - 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3064.\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1451164 to 3 decimal places.\nAnswer: -0.145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 2*f**2 + f)*(-3 + 5 - 4) - 21*f**2 - 24*f + 24*f + 3*f**2 - f**2 - f**2.\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i + 57376 = 58*i. What are the prime factors of i?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 8*s + 6*s - 39. Solve 5 = a, -3*m + s*a + 3 - 21 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -80.237 * -457.1\nAnswer: 36676.3327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*v + m + 2, 2*v - 2*m = -m for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1590 + -127?\nAnswer: 1469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4*d - 6 = 0, r + d + 40 = -3*r. Suppose 5*h = 3*n + 14, -5*h + 20 - 2 = -n. What is the tens digit of (-456)\/(-33) - n\/r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -302*z + 303*z + 2, 2 = -z + 4*x for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**2 - 49*g + 361. Calculate a(-31).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.8215764 to two decimal places.\nAnswer: 24.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of 1\/6*c**4 + 0*c - 1\/6*c**3 - 1\/120*c**6 - 1\/60*c**5 + 3*c**2 + 0. Is x(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 38 = d + 11, 3*d + 2*i - 41 = 0. Suppose -5*v - 11 - 4 = 0, 0 = s - 5*v - d. Solve 3 = s*n + 11 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -954.1?\nAnswer: -3816.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in 233, 6\/5, -1, 4\/7?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 12:48 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-53*o + 93*o + 8*o)*(-3 + 0 + 5)*(13 - 17 - 12)*(-1 - o + 1) as s*o**2 + b + i*o and give s.\nAnswer: 1536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 6*w - 1. Let m(t) = -16*t**2 - 22*t + 1. What is -7*d(p) - m(p)?\nAnswer: 9*p**2 - 20*p + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) -1\/6 (c) 5\/3 (d) 2 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 8. Let q = -26.69 - -25.69. What is the nearest to q in 2\/3, -0.3, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 2 + 1 + 9 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7155753?\nAnswer: 3, 11, 216841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -11*a + 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*v + 3*v - 8*v - v**4 wrt v?\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2 - 2*b + 3. Let y(m) = 3*m**2 - 4*m + 5. Let k be (-2)\/(-1 - (-10)\/14). What is k*p(r) - 4*y(r)?\nAnswer: 2*r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-6))\/((-2)\/(-42)). Suppose -11 = -5*j + 2*s + 4, 0 = s + 5. What is the highest common divisor of j and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42113455424 - 3?\nAnswer: -42113455430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3*a - 15 = 0, -s + 8 = -5*a - 5. Let v(f) = f**2 - 16*f - 13. Let h = 25 + -8. Let k be v(h). Solve -21 = 3*g + s*i, k*g = 5*i - 3*i - 10 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 12:18 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 5*s - q, -5*s + 7*s = q - 8. Are s and -75\/31 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-113*y - 115*y + 230*y)*(16 - 65 + 25) in the form s + a*y and give a.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/5)\/((q**5\/q)\/q))\/(q**(-8)\/q**(1\/2)) assuming q is positive.\nAnswer: q**(51\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 296 and 20\/2 - (-22)\/(-11).\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -1853*v - 402. List the prime factors of y(-4).\nAnswer: 2, 5, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42159 and 283739?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2987812 by -116.\nAnswer: -25757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23758 or 23762?\nAnswer: 23758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*b**2 + 38*b**2 + 30*b**2 - 157*b**2.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -9*p**2 - p + 10. Let t(a) = -17*a**2 - 2*a + 21. Calculate 11*l(c) - 6*t(c).\nAnswer: 3*c**2 + c - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 7064*a = -6814*a + 1491, -w - 2*a - 9 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggg. What is prob of picking 4 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 92\/414 - (3 - 1587\/108) and 37\/176.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2865918 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 19247137\nAnswer: -19247137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + g + 9 = 0, -2*q - 124*g + 3 = -125*g for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + g. Suppose 0 = -3*r + 2*a + 13, -4*r = -4*a + 5*a - 10. Let m(z) = -4*z + 2*z**3 - 4*z**3 - 3*z**2 + z. Determine r*n(f) + m(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1077913 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -4672.\nAnswer: -1\/2336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**2 - 118*o + 67. Calculate n(39).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3\/(-6) + (-46)\/(-4) and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1174)\/2935)\/(16\/(-300)*(-1)\/8))\/(-2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.7 - -1.7. Let n = -0.8 + z. Put 2, 1\/4, n in descending order.\nAnswer: 2, 1\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 798 - 789. Suppose -l*m - 29*m + 190 = 0. Solve -7*y - 4 = -4*r - 6*y, -m*y - 1 = -r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c. Let w(f) = 109393 - 101*f - 109393. What is w(n(x))?\nAnswer: 101*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 u when three letters picked without replacement from vdugduuuuvdddduduug?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -24*-1*(-12)\/(-16) and 27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 2*x - 12. Let z be i(-4). Suppose -w + 8*o = z*o + 12, 2 = w - 3*o. Let s be ((-14)\/(-56))\/((-1)\/w). Solve 3*y + s = 2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -7 + u**2 + 0*u**3 + 0*u + 0*u**5 + 7\/6*u**6 + 0*u**4. What is the second derivative of p(i) wrt i?\nAnswer: 140*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 1724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2 - 5*m + 15. What is the tens digit of v(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5742 = -d - 2739. Does 27 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6, 3, -2, -9?\n\"Answer: -y**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 80*u - 35. Let t(y) = -9*y + 4. Let f(i) = -4*g(i) - 35*t(i). Let k(q) = q**2. Give k(f(x)).\nAnswer: 25*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(((-30)\/40)\/(9\/(-48))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50*f**3*v - f**2*v - 15*f**2 + 2*f wrt f?\nAnswer: -300*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -13*y**3 + 1181*y - 10. Let w(l) = 5*l**3 - 591*l + 4. Calculate -5*w(q) - 2*x(q).\nAnswer: q**3 + 593*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**3 - 4*v**2 - 7*v - 5. Let h(g) = 4*g**3 - 7*g**2 - 13*g - 9. What is -11*f(a) + 6*h(a)?\nAnswer: 2*a**3 + 2*a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) 4 (b) -0.9 (c) 17 (d) 15\/7 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nq when two letters picked without replacement from weqnnkk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 16 = -5*y, -5*y = 2*v - 156. Suppose -3*k + 38 = -v. Is 14 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((90\/(-24))\/15)\/(36\/1872)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8673 + -86811\/10. Calculate the common denominator of v and (-2)\/(-28)*4\/(-2).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2557, 0, 2 in increasing order.\nAnswer: 0, 2, 2557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a hour in seconds?\nAnswer: 4950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (0 + (2 - (0 - 0)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 2. Let s(r) = r**2 + 24*r + 100. Let k be s(-24). Let d be 62\/20 - 10\/k. Put d, 0, j in increasing order.\nAnswer: 0, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*w - 5105 - 2161 = -106*w for w.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 107 - 104. Suppose -2*w - 48 = 3*s, 6*s + 48 = t*s - w. What is the common denominator of 87\/20 and -14 - s - (-2 + 94\/(-4))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 525 = -125*f + 140*f. What is the third smallest value in -3\/5, 3\/8, f, -3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5176.268606 to the nearest ten.\nAnswer: -5180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 34865*a - 34944*a + 59 + 69808*a.\nAnswer: -a + 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -20*(-8)\/(-140)*(2\/3)\/(104\/78)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1449185 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/20 + 231\/(-90))*3. Let i = 23\/4 + o. Put 0, -0.5, i, 5 in increasing order.\nAnswer: i, -0.5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (73 - (-6372)\/(-72)) + 3\/2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/4)*u)**29)**(-21\/5) assuming u is positive.\nAnswer: u**(-1827\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, r: 1, w: 2, p: 1, k: 4, o: 1}. Give prob of picking 1 w and 1 p.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1c7 (base 14) to base 15\nAnswer: 19b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 46, -0.2, -38, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 2*a**2 + 7*a - 4. Let v be w(-3). Find the second derivative of v*p**2 + 14*p**2 + 0*p + 31*p + 17*p wrt p.\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81830 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008915264 rounded to 5 dps?\nAnswer: 0.00089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1576049208 to the power of 1\/3, to the nearest integer?\nAnswer: 1164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 u when two letters picked without replacement from {c: 3, w: 1, u: 11, t: 5}.\nAnswer: 33\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m - 1. Let k(n) = -10*n - 1. Let f(j) = k(j) - 2*u(j). Let r be f(-1). What is the tens digit of (-2)\/(-6) + 267\/r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2577 + 256717458853.\nAnswer: 256717461430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188 = -6*u + 16. Let o = -1 + u. Suppose 2*p = 2, 3*p + 0*p - 6 = -l. What is the highest common divisor of l and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/48 and 47\/160.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5555\/(-3030))\/((-176)\/(32\/4)).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-15))\/1*2. Let a = 5 + -7. Put p, a, -4 in ascending order.\nAnswer: -4, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1615, 9, 3, -2, -5 in ascending order.\nAnswer: -1615, -5, -2, 2, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 110\/(-33)*(-14)\/(-10)*(-3)\/126*-36?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.7 - 6. Let o = -64 + 383\/6. What is the closest to 1 in o, 0.3, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 45\/10*4\/(-6). Let f be 6\/(-4)*8\/v. Solve f*k + 9 + 0 = j, -3*k = -5*j + 11 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25181860 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 920033.\nAnswer: 283, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 219 divided by -73\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2648 and 16898212.\nAnswer: 1324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 920*a**3 + 2367*a**2 wrt a?\nAnswer: 5520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -0.16444724?\nAnswer: -0.032889448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-5))\/(6\/(-180)). Let d = 16 - k. Suppose 3*c = -c + d. Solve c = -4*h - 7 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from jjfjjfffhfjjcfjjjjjo.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-55))\/(24\/(-540)). Let q = d - 32\/33. Which is the nearest to -2\/5? (a) 0.1 (b) -1\/2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 49 - 37. Let x(n) = -1 - n + 2*n - 2*n. Calculate the remainder when x(t) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -w + m + 6, -4*m = -5*w + 22. Let h be ((-2192)\/(-20))\/(w\/15). Suppose -h = -4*i - 34. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.971 - 10.971. Let h = -3.68 + -0.32. Put j, 5, -5, h in increasing order.\nAnswer: -5, h, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 122.12 + -636.22. What is the nearest to n in -1, 3, -2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 42*r - 1 - 4 - 6 as k*r + m and give k.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11351064 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -2 - 4) + (-3 - -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -56*s - 18. Let c(n) = 89*n + 28. Let v(m) = -5*c(m) - 8*k(m). Suppose -2 = -7*x + 6*x. What is v(x)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 69.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1, 4751, 4 in ascending order.\nAnswer: -0.2, 1, 4, 4751","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y**3 - 6*y**2 + 8*y. Calculate the remainder when 191 is divided by m(2).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.131807916 to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-2) - (3 - 5). Suppose -4*t - 16 = 4*b, 5*b - 11 = 4*b + 4*t. Put i, b, -5 in increasing order.\nAnswer: -5, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1, -6, -15, -28?\n\"Answer: -2*f**2 + f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -25 times -1022\nAnswer: 25550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbtbtbebbxeb. What is prob of sequence eb?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-9)*(4 - 7). Let f(r) = r**3 + 3*r**2 - 5*r + 1. Let a be f(-4). Sort q, a, -4.\nAnswer: -4, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.17777 litres in millilitres?\nAnswer: 45177.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 2*n + 16. Let g be s(-4). Let k = g + 25. Calculate the highest common divisor of 363 and k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 299 - 257. Find the third derivative of -31 + 58 - 106*c**3 - t*c**2 - 27 wrt c.\nAnswer: -636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 2:35 PM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88) + sqrt(88) + (5*sqrt(88) + sqrt(88))*-5)\/sqrt(4))\/(2*sqrt(1584)*6))**2.\nAnswer: 49\/648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/9 (b) 1\/8 (c) 0.021 (d) 2\/15 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4814303?\nAnswer: 13, 61, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 6, i: 2, f: 4, e: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -141166350 by 10634.\nAnswer: -13275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 36\/(-8)*(-12)\/27. What is the closest to 2\/5 in -4\/15, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42678 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 7849 + 115. Suppose 0 = y - 2*w - 1999, y = 2*y - 4*w - r. Suppose 5*h + y = -1193. Round h to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 11:38 PM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1963049 and 517?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 - 5*x**2 - 2*x**2 + 2*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = r - 149 + 147, 0 = -2*b + r + 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16784179 is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -167, -718, -1637, -2924, -4579?\nAnswer: -6602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -73 and 206744.\nAnswer: -15092312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 + 10*h**2 + 2*h**2 - 5*h - h**2 + 5*h + (-2*h + 4 - 4)*(-4*h + 3*h + 2*h))*(-2*h + 4*h - h).\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 20 = 0, -13891*j + 13887*j + 4*u = 8 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 0*q - 2 - 2\/35*q**5 - 2\/21*q**3 + 1\/7*q**4 + 0*q**2. Let d(h) = 0. Calculate h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58765.072 plus -0.2?\nAnswer: 58764.872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0, 0.15, -3, 966, -20, -2 in descending order.\nAnswer: 966, 0.4, 0.15, 0, -2, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 136, 874, 2194, 4102, 6604?\n\"Answer: y**3 + 285*y**2 - 124*y - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 4*v**2 - v + 1. Determine h(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -202374 < 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 9 = 0, 0 = -107*u + 109*u + 4*i - 358226. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 55121 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a**5 + 181*a**4 - 45*a**2 + 39196*a wrt a.\nAnswer: 60*a**3 + 2172*a**2 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, q: 4}. Give prob of picking 3 q.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 1. Suppose -2*f = b + 2*f + 108, 106 = -b - 2*f. Let u = 108 + b. Calculate the smallest common multiple of m and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.53 + -0.13. Let h be (-2350)\/165 - (-3)\/(-33). What is the second biggest value in -1\/2, h, j?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42 - (46 - -16)) + -2 + -18.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 - -77. Let f = m + -52. What is the second smallest value in -2, f, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k. Let l(c) = 94*c + 841. Let r be l(-9). Let d(m) = 30*m**2 - 3*m. Calculate r*y(i) + d(i).\nAnswer: 30*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 683 by -683.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 3*w + 444, -x + 20*w = 17*w - 156. Solve 0 = 161*b - x*b - 68 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/70*-28)\/(32\/120).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g - 12. Let x be f(4). Let c be (9\/x)\/(11\/44). What is the second derivative of -6*y**5 + y - 8*y + 13*y**5 + c*y wrt y?\nAnswer: 140*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15668134 or 15668135?\nAnswer: 15668135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 36 + -7 + -4 + 4 + -17 + 6 + 21\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (21\/14)\/(25\/(-10)). Let t be 2\/(0\/(-2) - -2). Let n(j) = -4*j**2 - 1. Let g be n(t). Put y, 1\/5, g in descending order.\nAnswer: 1\/5, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1443483595 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n\/n**(-1))\/n)**(-28))**(3\/4))**(1\/33) assuming n is positive.\nAnswer: n**(-14\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2597284507.\nAnswer: 1123, 2312809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 91061, 181989, 272913, 363833?\n\"Answer: -2*k**2 + 90934*k + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 - -44. Suppose 5*a - 2*a - y = 0. Suppose a*t + 25 = -5*z - 15, 2*z + t + 12 = 0. Round z to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -59\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - f + 3. Let o be z(0). Suppose -o*t + 4*s + 105 = 0, t - 19 = -2*s - 2*s. Let j = t - 22. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -33*u**2 - 28*u - 442. Calculate g(-5).\nAnswer: -1127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 3*o**3 + 522*o**2 + 2025*o - 2550 = 0.\nAnswer: -170, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27.7 - -192.7. Let n = t - 168. Let k = 9 + -8. What is the nearest to k in -5\/3, -1\/5, n?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40774.694 - -66062623.306. Let d = q - 66103399.89999849. Let y = 1.9 + d. What is y rounded to 7 dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37454485 is divided by 9828.\nAnswer: 9805","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7170 is divided by 421.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 260*f**2 - 1849*f + 673334. Give k(257).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6.59580823 and -5388.\nAnswer: -5381.40419177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*s + 2482 - 2479 + 29*s)*(2*s - 3*s - 2*s) as h*s + f + b*s**2 and give b.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 9*n**2 + 13*n + 18. Let c be f(-2). Suppose 8*j**3 - 26*j**3 + 2*j**3 - c*j**5 - 64*j**4 = 0. Calculate j.\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 345553 - 345562.000048. Let n = -9 - w. Round n to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 152300 divided by -5\nAnswer: -30460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 1:03 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 732 and 1735503?\nAnswer: 423462732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14.31 - -0.31. Let h = x - -9. What is the smallest value in -0.2, 0.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-2))\/((-2)\/8). Suppose j*g + 3*g + 20 = 0. Calculate the remainder when 2 is divided by g\/18 - 66\/(-54).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 787197724?\nAnswer: 2, 23, 1171, 7307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 + 35 - -53 - 28?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336852256.\nAnswer: 2, 13, 809741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 32707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 13*w - 64. Give k(-9).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 + t**2 - 4*t**2)*(2*t**2 + 0*t**2 - 3*t**2) + (-t - 4*t + 4*t)*(6*t**3 - t**3 - 3*t**3).\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = a + 10*w - 3691, 2*a - 7414 = 2*w. Let j = a - -2074. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4769 and 865950.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - i - 2*h - 61, 5*i - 99 = 4*h. Suppose 0 = -5*k - q + 58, 3*k - 4*q = 4*k - i. Which is greater: 12 or k?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43314 to the power of 1\/2, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 5*k. Let m = -4 - 4. Let z = m - -12. List the prime factors of y(z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b - 9. Let q be c(-10). Which is bigger: q or -1.41?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.242, -1, 0.2, -0.4, -5?\nAnswer: 0.242","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 11*m - 97. What is l(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12334 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 304*o - 315. Determine g(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {o: 5, d: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 1:29 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*g = -42*g + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 0. Let q(t) = t**2 + 2*t**2 - t**d. Let x(z) be the third derivative of z**4\/24 + 4*z**2. Calculate q(x(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 54*n - 56*n + 24. What is the hundreds digit of n\/(-15)*((-1796)\/2 + 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 5. Let d = r + -1. Suppose -d*s + 38 = 2*q, 0*s - 4*q + 10 = -s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33325.61547 + 17808.44356. Let i = -15516.1 - t. Let p = i - 1.07. What is p rounded to four decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13644, 13640, 13634, 13626?\nAnswer: 13616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -910*f**2*u**2 + f**2*u + 5*f*u**3 + 8629*u**3 with respect to f.\nAnswer: -1820*f*u**2 + 2*f*u + 5*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2161, -4388, -6665, -8998, -11393, -13856?\nAnswer: -16393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172637 is divided by 517.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 279*a**3 + 6*a**2 - 2*a + 50. Let y(p) = 84*p**3 + 2*p**2 - p + 17. Give 3*u(t) - 10*y(t).\nAnswer: -3*t**3 - 2*t**2 + 4*t - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/(-57)*(1 + 0)*3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 794577?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2 + 114*j**5 - 122*j**5 - 2 - 7*j wrt j?\nAnswer: -160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5*w**2 + 5*w + 1. Let y(i) = i**2 + i. Let l(b) = -42*b - 42*b - 11 + 78*b. Let n be l(-2). Calculate n*o(x) - 3*y(x).\nAnswer: 2*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 832714 is divided by 1035.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k - 4*k + 2*k**2 - 2*k**2 - 3 + 3 + 4*k**2 - 4*k**2 + k**2 + (-4*k + 5*k + 0*k)*(0*k + 2*k - 3*k) - 2*k**2 - 4*k + 4*k - 2*k + 2*k - 2*k**2.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 5*f - 340 = 0, 3*r + 364 = -2*r + f. Let x = 75 + r. Let g be (2\/(-5))\/(2\/(-20)). Put 0, g, x in increasing order.\nAnswer: 0, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15164 - 2611?\nAnswer: -17775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1293449?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3*(-1 + sqrt(1331) + 1) + -2)**2.\nAnswer: 132*sqrt(11) + 11978","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a minute in seconds?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1903.4965 to the nearest 100.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {v: 2, k: 7, t: 2}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 27 = 4*a - 2*a, m - 1 = 0. Calculate the remainder when 59 is divided by ((-24)\/(-18))\/((-1)\/a).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (15\/6 - 2)*6\/75. What is the third smallest value in w, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32153122 by 1198.\nAnswer: -26839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -42087 (base 12) in base 11?\nAnswer: -59a9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 h, and 1 o when three letters picked without replacement from yyyyyhyyoyy.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 590644915.\nAnswer: 5, 7, 211, 79979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**3 - 4*c**2 - 8*c + 3. Let t(a) = -4*a**3 - 4*a**2 - 10*a + 4. Let z(y) = 4*t(y) - 5*x(y). Let i(v) = v**3 - v**2 + 1. Give -4*i(u) - z(u).\nAnswer: -3*u**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 3*o + 3*o)*(0 + 3 - 5) + (-4 + 4 - 1)*(-2*o + 2*o + o) + 5*o - o - 2*o - 5*o + o + o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 12 - 92. Let m be -3 + q\/1340*(-1010)\/(-4). Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 5*v - 559 + 100, -2*v - 3*c = -177. Let f = v - 94. Let l = -4.6 - -5. What is the biggest value in l, 6\/11, 7, f?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 8 (b) -9\/23 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 996399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (1 - -2) - (-12 + 14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/6245344 and -13\/392?\nAnswer: 6245344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 253 and 132066?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -15. Let n be -1 + (p - 0) + 4. Suppose 0 = 3*i - g - 177, 0*g = -n*i + g + 237. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**2 + 4*g - 5*g**2 + 3*g**2 + 2 + 2*g. What is l(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6 - -0.2. Let g(t) = 78*t - 1173. Let y be g(15). Which is the nearest to -1\/4? (a) -0.08 (b) m (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 5, -122.\nAnswer: -122, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + y + 2. Let k be i(0). Solve -2*w - 4 + k = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05+-0.02337\nAnswer: -0.07337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57 + 287\/5. Let x = -2.9 + 3. Which is the closest to -1? (a) x (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/42*(-8)\/12?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 - 3096*z**2 + 283232*z.\nAnswer: 4*z*(z - 668)*(z - 106)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wwlggwwlglwwg?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -19, -3\/7, 0.26, 1\/16, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 15*k**2 + 17*k - 4. Let f be (2\/5)\/((-1)\/(-40)). Let l be u(f). Let s(r) = -r + 19. Does 7 divide s(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12230430 + 30?\nAnswer: -12230400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - k = 27971 + 24894, 3*k + 10559 = f. What is the highest common divisor of 102 and f?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 2*f + 4 + (2 - 2 - 2*f)*(-1 + 0 - 1) + (0 + 1 - 3)*(-2 + f + 2 + (f + 2*f - f)*(39 - 69 + 14)).\nAnswer: 68*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 13*l**2 - 406*l + 20. Let h(t) = -9*t**2 + 271*t - 14. What is 7*h(g) + 5*s(g)?\nAnswer: 2*g**2 - 133*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 174849 divided by -29\nAnswer: -174849\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -292\/11 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.7 - -1.2. Let d = q + -0.5. Sort 1, d, -0.3.\nAnswer: -0.3, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/870 and 41\/315?\nAnswer: 18270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 5585575.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -6*a**3 - 3*a. Let i(x) = x. Give 3*i(n) + v(n).\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/(-7) + 237\/(-168) and 19\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u - 21. Let m be c(-12). What are the prime factors of 3\/(-2 - (0 - (-21)\/m))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -87, -67, -45, -21, 5?\n\"Answer: p**2 + 17*p - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 4*z - 7, 0*z + 5*z - 12 = -3*h. Put 0, 2, h in decreasing order.\nAnswer: 2, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 356\/11 or 33?\nAnswer: 356\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnkn when four letters picked without replacement from nnnnfnnknninnii.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0 = -9. Suppose w = -116 + 143. Suppose x + w*x - 448 = 0. Calculate the remainder when x is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -18 - 67 + 216*b**2 + 55*b - 692*b**2 - 140*b. Let v(r) = -34*r**2 - 6*r - 6. Calculate -6*h(p) + 85*v(p).\nAnswer: -34*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 258 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 3\/1*1. Suppose -6 = m*a - a. Let n = -3 - a. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -6*x**2 - 11. Let y(a) = a**2 + 2. Suppose 3*q + 96 = -3*s - 0*s, 0 = -4*s + q - 133. Let l(t) = s*y(t) - 6*b(t). Let d(o) = -6*o. Give d(l(r)).\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1188641.\nAnswer: 569, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 1 = d - 0*p, 3*d = 5*p. Let y be (-7)\/(287\/12)*(-10)\/20. Let r = y + 23\/123. Which is the closest to r? (a) 2\/5 (b) d (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 139 - 69. Let i = -62.2 + z. What is i rounded to 0 decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 138 - 2344\/17. What is the closest to 3 in 0, p, 27?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 7*t**2 - 13*t + t**3 - 6 + 5*t**2 + 2. Let f be 2\/(((-2)\/(-11))\/(-1) + 144\/5148). What is v(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11, 10, 12, 887.5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1ede - -5?\nAnswer: -1ed9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + j - 1 + (-2*j - 2*j + 2*j)*(5 - 6 + 0) - 7*j + 3*j - j + (0*j - 4*j + 2*j)*(-2 + 1 + 2))*(-1 + 3*j + 1).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 627*q + 98. Let t be j(-16). Let u = t - -327796\/33. Calculate the common denominator of u and -121\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19465432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4694*g**5*w**2 - 7*g**3*w**2 - 97*g**2*w**2 + 231*g*w**2 wrt g?\nAnswer: 281640*g**2*w**2 - 42*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2004, 2010, 2016, 2022, 2028, 2034?\n\"Answer: 6*w + 1998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 3. Let p be j(3). Suppose -3*t - 26 = 4*g - 93, -4*t + 26 = 2*g. Suppose 20*f - 5 = g*f. Solve f*a - 3 = -4*n, p*a = -n + 5*a + 7 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*x - 8400000 = 0. Round x to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -5*w - 8. Let v be p(-2). Let s be (15\/45)\/(v\/(-6)). What are the prime factors of (-1818)\/(-12) + (3\/6)\/s?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 27 - 315 = 0. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - -6 - 8) + -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 7 + 2. Is z at least as big as 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y - 2. Let g be u(4). Suppose 2 = -g*h, 3*r - 5*h - 18 - 5 = 0. Is (-8)\/r*6\/(-4) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37543, 150098, 337689, 600316, 937979?\nAnswer: 1350678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - n + 1. Let c(k) be the first derivative of 7*k**3 + 3*k**2 - 6*k + 4335. Calculate -c(b) - 6*r(b).\nAnswer: -27*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -72189, -72188, -72187, -72186, -72185, -72184?\n\"Answer: v - 72190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -24.\nAnswer: -7\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1210*z - 940*z + 4105*z - 14*z**2 - 940*z - 1015*z.\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 7:23 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 11*r**4 + 4*r**3 + 4*r**2 + 4*r. Let d(c) = 10*c**4 + 3*c**3 + 4*c**2 + 3*c. Let u(b) = -4*d(b) + 3*o(b). What is the third derivative of u(w) wrt w?\nAnswer: -168*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 54*m**3 + 148*m**2 - 1334*m - 2. List the prime factors of l(9).\nAnswer: 2, 103, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.447 take away 1851?\nAnswer: -1851.447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83923 is divided by 20875?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13466 + 13466 - 17604*m to a*m + q and give a.\nAnswer: -17604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-35)\/385 + (-89341)\/11. Is 41 a factor of q\/(-22) - (-64)\/(-352)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -7*f**3\/6 - 29*f**2 + 36*f. Let p be y(-10). Calculate the highest common divisor of p and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + -2)*3\/(-3). Suppose -7*m + 3*m - 4 = -4*a, v*m + 5 = 4*a. Which is bigger: 3\/4 or a?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33 by 58124.\nAnswer: 3\/5284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, w: 1, k: 1, n: 1, a: 1}. What is prob of sequence ia?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 10, w: 4}. Give prob of picking 3 r.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2544035 (base 7) to base 16\nAnswer: 50a5f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 58033.64237 to the nearest ten.\nAnswer: 58030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -317*q - 9*q**2 + 279*q**3 - 281*q**3 - 6*q**2.\nAnswer: -2*q**3 - 15*q**2 - 317*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4009895933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*p**3 + 133*p**3 + 162*p**3 + 181*p**3.\nAnswer: 307*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2898089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 43*r + 6. What is t(-3)?\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 123*v**2 - 2061*v - 1221. Give t(138).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 3*x + 1. Suppose -4*u - u = -y + 36, u = y - 8. Let b(c) = -c. What is u*b(n) + 2*h(n)?\nAnswer: -2*n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - -30a5?\nAnswer: 3101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x - 17. Let a be h(-9). Let z = -29 - -40. What is the greatest common divisor of z and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 16*c**2 - 17*c + 28. Let m be k(15). Let i be (-3)\/(-6) - 7\/m. Which is smaller: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cypiyiyisp. What is prob of sequence pc?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 41300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35672000 divided by 50960.\nAnswer: -700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 280.6 + -277.6. Let u be (1\/(-1))\/(3 + -2). Sort 14, u, 2, s.\nAnswer: u, 2, s, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 15. Let m(o) = -t - 4*o - 5*o**2 + 3*o - o**3 + 0. Suppose -5*w + 3 = -4*y - 2, 0 = -3*y + 3*w - 6. Calculate m(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 969, 1936, 2903, 3870, 4837?\nAnswer: 5804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -10. Suppose -5*v - 7 = b, -7 = -5*w + v. Are 2\/31 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 98.2833 to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.8386 + 3.4386. Which is smaller: h or 578?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9835*t - 27277*t - 11307*t.\nAnswer: -28749*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9230844 milliseconds to microseconds.\nAnswer: 923.0844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2232615, 2232106, 2231257, 2230068?\n\"Answer: -170*p**2 + p + 2232784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**4 - 42*z**3 - 144*z**2 - 136*z = 0 for z.\nAnswer: -17, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = d - 2, 2*d - 3*i - 29 = -2*d. Let q = 0.048 + -0.148. What is the nearest to q in -1, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46.8 + -47. Let r = -21\/10 - -11\/5. Which is the nearest to m? (a) -0.4 (b) r (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -q**4\/72 + 25*q**3\/36 - 2*q**2 + 6*q - 2. Factor h(t).\nAnswer: -(t - 24)*(t - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*k = -72. What is the units digit of 4\/(k\/9)*6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + 0 + -3 + (sqrt(48) + 1 - sqrt(48)) + -4 + sqrt(768) + -4)*3.\nAnswer: -165 + 240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58477*l = 58470*l + 105 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 8, n: 1, k: 2, a: 2, l: 2}. What is prob of sequence kaka?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 7 = 2*f - 17, -f + o = -4. Solve -f*r + 9*r - 3 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-4)*108\/(-18). Suppose -67 - 173 = -m*p. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-nine fifths of a decade?\nAnswer: 1176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -4, -2\/11, -2\/3, 0.5 in descending order.\nAnswer: 0.5, -2\/11, -2\/3, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9288 and 133714152.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 256 and 10362176.\nAnswer: 41448704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 41*k - 2. Let a = 23896 - 23894. Let u(h) = -20*h + 1. Determine a*v(w) + 5*u(w).\nAnswer: -18*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-6*o**2 - 2*o**2 + o**2)*(o - 2*o - 6*o) - 5*o**3 + 3*o**3 - o**3)*(4*o - o + o) to the form i*o**2 + g + m*o + h*o**4 + t*o**3 and give h.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -882*a = -1048*a + 1162 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**4 + 125*w**3 + 1155*w**2 + 4655*w + 6860 = 0. Calculate w.\nAnswer: -7, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*m + 10*m**2 + 4*m**3 - 20*m**2 + 8*m**2 + 8*m as c*m**2 + j*m**3 + w + f*m and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 8*c + 45. What is f(-7)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 15) in base 4?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y + 6. Let x be d(3). Suppose x = n + 626 - 106. Round n to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72698 by -2.\nAnswer: -36349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.50820134 rounded to three decimal places?\nAnswer: -4.508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 4:23 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 70650509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 8:26 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v**2 + 1. Let u = 2 + -3. Let n be c(u). What is the units digit of n\/10 + (-76)\/(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5455 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 514480141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-3\/7)\/k)\/(k**(5\/4)\/k))\/((k*k**(-5\/2))\/k*k\/(k*k**(-7\/4)*k)))**43 assuming k is positive.\nAnswer: k**(43\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -168 in 119.5, -2\/5, 8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 8:51 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**6\/540 - s**5\/108 + s**4\/54 - s**3\/54 + 5*s**2 + 15*s. Let u(j) be the first derivative of l(j). Factor u(r).\nAnswer: (r - 1)**2*(2*r - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/50 of a tonne?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-26)\/1386*612\/(-408) and 47\/66.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/7 + 634*q**2 - 31200*q\/7 - 11448.\nAnswer: 2*(q - 9)*(q + 2)*(q + 2226)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 39*n. What are the prime factors of k(-6)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 197080917 to the nearest integer?\nAnswer: 14039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 476, 0.3, 10, 3, -0.13, 2\/5?\nAnswer: 476","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 5*t**2 + 9*t - 1. Let l be z(-2). Let v(h) = 1941*h**2 - 25*h + 4. Let g be v(l). Round g to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -2*w**7\/21 + 11*w**6\/30 - 7*w**5\/15 + w**4\/6 + 23*w**2. What is h in m(h) = 0?\nAnswer: 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 288458?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6590*q**3*t**3 - 136*q**3 + 19*q**2*t**3 + 22*q*t**2 wrt t?\nAnswer: -39540*q**3 + 114*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 91.5633 minutes?\nAnswer: 1.526055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 2456760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -1\/2, -18, -9.9?\nAnswer: -9.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30848301*o**3 + 33042474*o?\nAnswer: -185089806*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -903 + 915. Let s = 23 - 38. Let i = u + s. Which is the smallest value? (a) 2 (b) 5 (c) i (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 3:59 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 8*g + 7*g - 8 = 0, 3*g = 6 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-946 + 946 + 88*w)*(1 - 1 - 1) + (w + w - 5*w)*(2 - 1 + 2) + (-1 + 0 - 1)*(w - 2*w - w) - 2*w + 3 - 3 in the form a + p*w and give p.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1153129471 and 4507.\nAnswer: 4507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -3*b**3\/4 - 3*b**2\/4 + 861*b\/2 - 3822 = 0.\nAnswer: -28, 13, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 1)*(854*v**2 - 1180121*v**4 + 311*v**2 + 1180116*v**4) to the form s*v + g*v**2 + k*v**3 + u*v**4 + x and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-56)\/105)\/(8\/(-156)*-1) and 47\/28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297954413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*z + 67*z = 93 - 1182. Let m be 21\/(-6)*(-2 - -6). Let h be (-15)\/(-21) + (-4)\/m. Which is smaller: z or h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1895 - 1075. What are the prime factors of z?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1757671090.\nAnswer: 2, 5, 7, 181, 138727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cggggggxggcggpgocng. Give prob of sequence ngg.\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.37*34\nAnswer: -12.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 8. Let r = 13 - 18. Sort 1, r, -2, d.\nAnswer: r, -2, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1373761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 15*q**3 + 19*q**3 - 27.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vrw when three letters picked without replacement from {r: 1, v: 5, w: 14}.\nAnswer: 7\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -21*c**2. Let i(j) be the third derivative of 0*j**3 + 0 - j**2 + 1\/12*j**4 + 0*j. What is i(n(v))?\nAnswer: -42*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - j**2 - j + 3. Let c be m(0). Suppose c*q - 7 = 5. Suppose -2*v + q = 2*v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9583031573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 171879 and 1242069.\nAnswer: 3243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (14\/10)\/((-46)\/(-920))*42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14353964 divided by -257.\nAnswer: -55852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l - 1942 = -174. Let y = l - -477. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f - 74*w + 273 = -0*w - 83, 5*f + w - 58 = -w for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119898294 is divided by 2019?\nAnswer: 1998","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -51. Let m = 13 + t. Let s = 54481 + -54478. Sort -1\/3, s, -2, m in ascending order.\nAnswer: m, -2, -1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 10, 28, 21, 15, -21.\nAnswer: -21, 0, 10, 15, 21, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9228 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k**(-3\/2)\/k)\/k*k)\/(k\/(k\/(k**(-1\/6)*k))))\/(k\/k**(10\/7))**(-6\/11))**(-1\/16) assuming k is positive.\nAnswer: k**(593\/3696)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69 + -72. What is the third biggest value in 0.4, w, -3\/2, 1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 58, 116, 174, 232, 290, 348?\n\"Answer: 58*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5267*z**3 - 1721*z wrt z.\nAnswer: -31602*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ysyxzsbmxys. What is prob of sequence ymx?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*t - 3*t**3 - 6*t - 9*t.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fof when three letters picked without replacement from yypfppppopyyffyppff.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 z when two letters picked without replacement from {z: 3, r: 1, b: 1, v: 1, c: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 249a (base 13) to base 16.\nAnswer: 144d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (275\/(-15))\/(1\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/4 + (-413043)\/767844. Let m = u + 1\/21329. Calculate the common denominator of m and -17\/60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 179517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l**3 - l**2 - 8*l - 6. Let s(q) = 44*q + q**3 - 26*q - 19*q + 1 - q**2. Let o(h) = f(h) + 2*s(h). Is 19 a factor of o(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 - 3)*1\/2. Let h be (17\/4)\/i*4. Calculate the highest common divisor of h and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 539434 and 3710.\nAnswer: 2697170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3248059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 495 + -4015\/8. Find the common denominator of t and 39\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, h: 3}. What is prob of picking 2 h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6068\/7 or -867?\nAnswer: -6068\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 251 divide 2849929736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/8 (b) 1\/10 (c) 1 (d) -2 (e) -3\/4 (f) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 74\/4769?\nAnswer: 74\/4769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**4 - k**3 + k**2 + k. Let x(p) = 133*p**4 - 5*p**3 - 6*p**2 - 21*p. Let w(d) = -3*j(d) + x(d). Find the third derivative of w(i) wrt i.\nAnswer: 3120*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1513, 1490, 1467?\n\"Answer: -23*x + 1536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 4*c + 4*n = 0, -c = 3*n + 6. Suppose -10 = -c*r + r. Suppose v - 3 = -3*q + 7, 0 = -r*v + 4*q + 12. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 548*a + 3348. Let j be m(-6). Calculate the highest common factor of 3945 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18069 - 9*c + 6*c + 18069.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u - 10. Let m be s(-10). Suppose -3*d = -2*d + m. Let w = d - -22. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3084 is divided by 918?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, 0.1, 2\/11, -0.087?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -38*m**2. Let p(d) = -1628*d. Give x(p(y)).\nAnswer: -100714592*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -327290 rounded to the nearest 1000?\nAnswer: -327000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4815 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 8 = 4*m + 3*u, -m = 5*u - 20. Which is smaller: -0.09 or m?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*b - 15*b - 8. Suppose -2*m = 4 - 0. Sort b, 3, m in decreasing order.\nAnswer: 3, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/11163 and -47\/6381?\nAnswer: 23743701","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q**2*t**2 - q**2*t - 119*s*t**2 - 95*s*t + 2*t wrt t.\nAnswer: -4*q**2 - 238*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 21 = -5*y, 2*r - y = -0*y + 9 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -2*q - 7 + 37 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4242 - 0?\nAnswer: -4242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 4*c - 185 = -146, -4*z = -2*c + 22 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a millennium in months?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 21993140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/123 in 1\/3, -15, -0.4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jv when two letters picked without replacement from {b: 4, j: 1, n: 4, w: 2, v: 1, e: 2}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 1\/19?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -497*m - 269. Is s(-24) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 - 8*d + 6. Let f(m) = -2*m + 1. Let q(u) = 5*f(u) - s(u). Let v = -1 + 3. Give q(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + -5)\/(8\/8) - -756 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 + 12955*n**2 - 12970*n - 25920.\nAnswer: 5*(n - 2)*(n + 1)*(n + 2592)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7042*f - 3627*f - 1904 = 8765 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of 0*j**3 + 3*j - 1\/10*j**5 + 0*j**4 + 0 + 1\/2*j**2. Find the first derivative of b(f) wrt f.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 30 = -2*p. Suppose 0 = -2*h + 81 - 1. Calculate the highest common factor of p and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in sixty-four fifths of a meter?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 448740306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*p - 11*p**3 + 92*p - 3 + 6*p + 150*p - 35*p.\nAnswer: -11*p**3 + 201*p - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-2*-5*1\/(-10))\/(3\/(-21))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 354 divide 1828410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**3*o**2 - f**3*o + 781932*f**3 - 7050*f**2 + 19*f*o**2 + o**2 - 23*o wrt f?\nAnswer: 6*o**2 - 6*o + 4691592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2478760 divided by 61969\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 27920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 1:55 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -p - 4*p + 10, -35 = -2*z - 5*p. Suppose d + 7696 = z*d. Is -5 - -1 - d\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + 0. Let n(j) = -6 + f + 3*j. Let g(q) be the third derivative of q**5\/60 + q**2. Determine g(n(p)).\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of w**2 + 7*w - 2. Let y be (-414)\/63 + (32\/14)\/4. Let n be o(y). Sort n, 5, 4 in decreasing order.\nAnswer: 5, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -527247637\/16 - -32965303. Let s = -12331 + b. What is the common denominator of s and 97\/14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k + 18*k = 30*k + 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -245310766*o**2 + 5431*o + 2455*o**3 + 245310766*o**2 wrt o?\nAnswer: 14730*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -0.36.\nAnswer: -0.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 10}. What is prob of sequence uu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + j = 4 + 32, -j - 28 = 3*w. Let l = -3 + 4. Let y be w\/(-24) + l\/(-3). Solve 5*d - 1 = -5*s + 4, 5*d + s + 7 = y for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.6574 (b) 2 (c) 5\/3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - a = -c - 12, 5*c - 33 = 4*a. Let r = c + -2. What is the remainder when 25 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.01 (b) 1.2 (c) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) 0 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 715, 705, 683, 643, 579?\nAnswer: 485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.3, 49, -0.1, -11.7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 5*t + t)*(1 - 3 + 0)*(3 + 1 + 0).\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1461, -1458, -1453, -1446, -1437?\n\"Answer: b**2 - 1462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -5*p**3 - 2*p - 1. Let v = -97 - -104. Suppose v*d - 10 = 2*d. Let x(r) = 11*r**3 + 5*r + 3. Calculate d*x(k) + 5*g(k).\nAnswer: -3*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) -2\/11 (c) -2\/3 (d) -0.12 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 11. Let l(s) = -40*s - x + 16*s - 15*s. Is l(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 8248.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*u - 29. Let x = u + 16. Let d = 20 + x. Calculate the remainder when 13 is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 137*m + 45053. Determine u(155).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 88, -118, 2, -5 in descending order.\nAnswer: 88, 2, -2, -5, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 6. Let q = -0.04 - -0.04. Which is the second biggest value? (a) h (b) q (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*l**2 - 3*l - 431 + 138*l**2 + 1786.\nAnswer: 13*l**2 - 3*l + 1355","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 - (-7 - -14)) + -12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 6*r + 12. Determine p(-7).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.169 + 3.369. What is the closest to -1 in -0.2, -2, b, 22?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*k - 106*k = 639 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139916?\nAnswer: 2, 7, 19, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11\/6 - (-105)\/630. Sort o, -7, -23 in ascending order.\nAnswer: -23, -7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2497\/4 or 625?\nAnswer: 625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 14*o + 6. Let y(f) = -f**3 - 9*f**2 + 11*f + 10. Let j be y(-10). Let t = 14 + j. Calculate the least common multiple of x(t) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 29083064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -10409*d**4\/24 + 4366*d**3\/3 - 8542*d**2. Find the first derivative of r(n) wrt n.\nAnswer: -10409","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/2 + (-31 - -35). Let u(x) = 278*x - 81. Is u(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 - 49 = 5*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 607796511 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of o**2\/2 - o - 56. Calculate m(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 x, and 1 e when four letters picked without replacement from {m: 3, y: 1, e: 5, x: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 53 + -17 + (126 - 108)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) -1\/9 (b) 134 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -72 smaller than -34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 173.2 to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 76?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**5\/7 - 708*m**4\/7 + 406*m**3 - 4268*m**2\/7 + 2847*m\/7 - 712\/7.\nAnswer: -(m - 1)**4*(m + 712)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*y - 18*y - 42*y - 62*y + 1 + 182*y.\nAnswer: 25*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.04 - -0.94. What is d rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 1293372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4*-0.2115586\nAnswer: 0.8462344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112 (base 3) to base 4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5 + (1 + (-1*sqrt(19)*-4 - sqrt(19)))**2 - (5 + 4*(sqrt(2299) + sqrt(2299) + -2))).\nAnswer: -82*sqrt(19) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 0*g**2 + 3*g**2)*(-4 - 2*g**3 + 4)*(-3 - 6 - 4) + 17*g**5 + 32*g**5 + 9*g**5.\nAnswer: 84*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/25, -0.4, 17\/5.\nAnswer: -0.4, 2\/25, 17\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) -3.8 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -112411.\nAnswer: -5\/112411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 75, 292, 667, 1212, 1939, 2860?\n\"Answer: 2*p**3 + 67*p**2 + 2*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 10. Sort t, 5, 4 in decreasing order.\nAnswer: 5, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*j - 2*a - 11, 10 = -j + 4*a. Let o = j - 1. Is -2 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/6)\/((-693)\/(-2079))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 927255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2456900, -4913833, -7370766, -9827699, -12284632?\nAnswer: -14741565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 4*d - 21 = 0, -r + 23 - 16 = 2*d for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22481*a**2 + 288*a - 37*a - 219*a - 32*a to z + w*a**2 + y*a and give w.\nAnswer: -22481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -1. Let y(z) = 0 + 2 - 5*z + 7*z + 0. Give 2*g(x) + y(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -3, -4 in increasing order.\nAnswer: -4, -3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(4*(9\/12)\/(-3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/39 or 5456.1?\nAnswer: 5456.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 11 + 9 + 14 - 4*j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -133440, -533754, -1200942, -2135004, -3335940, -4803750, -6538434?\n\"Answer: -133437*y**2 - 3*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 11 = -3*u - 5*m, 0 = 4*u + 3*m - 19. Let a(o) = 0*o**2 + u*o**2 - 2 - 13*o + 14*o. Determine a(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 7*p - 36 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -l**5\/120 - 14*l**4\/3 - 3136*l**3\/3 + l**2 + 33. Suppose q(i) = 0. What is i?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/sqrt(5)*-1 + sqrt(272) + -5 - (-3 + sqrt(170)\/(sqrt(90)*2)).\nAnswer: -2 + 17*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 85285.26 millennia?\nAnswer: 8528526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 958559304 to the power of 1\/2, to the nearest integer?\nAnswer: 30961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -0*b - 10, 2*b = -2*f + 4840. Suppose f = -9*a - 11118. Let c = -11943\/8 - a. What is the common denominator of -77\/20 and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31259914?\nAnswer: 2, 7, 73, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3738805969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 2*s = -30, 2*s + 1209 - 1269 = -5*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -130 (base 13) to base 9\nAnswer: -251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-8\/3))**(4\/19) assuming o is positive.\nAnswer: o**(44\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/16)\/(1 + (-15)\/(-12)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 1654*h**2 + 3. Let m(r) = r**2. Determine q(m(z)).\nAnswer: 1654*z**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10483\/7 - 1493. Let q = s + -82\/21. Factor 2\/3*g**2 - 4\/3*g + q.\nAnswer: 2*(g - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 7*a - 1. Let v(c) = 16*c - 3. Determine 7*o(t) - 3*v(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + x = -2299, 0 = 2*w - 3*x - 0*x - 1137. Suppose -2*f - 644 = -32. Let s = f + w. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 84 = 51. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) - (sqrt(432) + sqrt(12))**2 - (sqrt(147) + -2)**2.\nAnswer: -739 + 29*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 637 - 404. Suppose 2*n - 257 = n + 5*j, 3*j = -n + q. What is the highest common divisor of 44 and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230976255?\nAnswer: 3, 5, 19, 810443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*x**3 + 140277*x**2 - 431822*x + 33648 = 0. Calculate x.\nAnswer: 2\/25, 3, 5608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 11:29 PM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 662287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d - 1. Let s(m) = -7*m**2 + 6*m + 1. Give 6*f(n) + s(n).\nAnswer: -7*n**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) - -1*sqrt(152)*1 - (sqrt(152) + -1*sqrt(152))*-2)\/((sqrt(96)*2*5)\/(sqrt(60)\/(sqrt(5)*-2) - sqrt(12))).\nAnswer: -3*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7533*q + 7533*q - 262*q**2 + (-2*q + 0 + 0)*(-q - 3 + 3).\nAnswer: -260*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2*sqrt(7056))\/sqrt(7)*-1 + 3.\nAnswer: 3 + 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(-10) + 1035\/(-225)*(-7)\/161\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81729.\nAnswer: 3, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 238, 9594, 28054, 55624, 92310, 138118?\nAnswer: 193054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -288*u - 224 with respect to u.\nAnswer: -288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i - 1. Suppose -5*x + 4 + 6 = 0. Let p(j) = 0 - j + 5 - 4*j. Calculate x*p(f) + 11*r(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 110169 and -19417.\nAnswer: 90752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2 + 7 = 0. Solve v - 2*v + 21 = a*h, -4*v = 3*h - 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of 951*i**7\/7 + 601*i**3\/3 - 1025. What is the third derivative of n(u) wrt u?\nAnswer: 114120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**2\/3 + 65*l\/3 + 100 = 0. What is l?\nAnswer: -60, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 220575 and 1186953?\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105 and 490.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*z + 9 = 0. Is z greater than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111212221222 (base 3) to base 5\nAnswer: -32221342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 59*q**3 + 4*q**2 - 7*q + 19. Calculate the remainder when m(2) is divided by 50.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112100212021 + 120120?\nAnswer: -112100021201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) 322 (b) 1.1 (c) 2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*r**2 - 47*r**2 + 289*r - 2093*r.\nAnswer: -4*r**2 - 1804*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(10\/3)\/m**23)\/(m**(-10\/9)\/(m\/m**(-4\/11))) assuming m is positive.\nAnswer: m**(-1702\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*u + 8795414*u**3 - 8795411*u**3 + 25*u.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - 21. What are the prime factors of 189\/y*32\/(-6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -104*v**4 - 2 + 107*v**4 - 278*v**4 + 66*v**3 + 5*v + 3 - 72*v**3 wrt v?\nAnswer: -3300*v**2 - 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of g**2 - 9*g + 127. Give t(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 3*v + 5 = 0, 3*l + 4*v - 16 = -0*v for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -9*m - 18. What is x(-10)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o**2 - o. Let x be y(-1). Suppose -4*q + 15 = 4*d - d, 2*d = x*q + 10. Suppose -4*r + 2*r + 6 = q. Solve 5*v - 3*c = -19, -r*v = c + c + 19 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x, 1 q, and 1 a when four letters picked without replacement from aqqqaaaqqaaxx?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.92685 weeks to nanoseconds.\nAnswer: 44106158880000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at least as big as -2686\/853?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 8 = 5*x. Let l = 1 - -1. Let k be 0 + (8\/x)\/l. Sort 3, 0, k in increasing order.\nAnswer: k, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -585*q**3*y - 28*q**3 + q**2*y - 445*q*y - 32067 wrt y.\nAnswer: -585*q**3 + q**2 - 445*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31713.2999 rounded to the nearest one thousand?\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5184\/14 + 92\/(-28) + (0 - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 9*m**2 + 4*m + 4. Suppose -4*k + 16*k = -132. Let h(b) = 26*b**2 + 11*b + 11. Suppose -a - a = -8. What is a*h(j) + k*s(j)?\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4008429 or 4008627?\nAnswer: 4008627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(24) + sqrt(384))*-4 - (1*sqrt(96) - sqrt(96) - sqrt(96)))*-1)\/(sqrt(288)*-2 - sqrt(8)*1*-1).\nAnswer: -18*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(6*q + q - 2*q).\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145966 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -1, -1\/6, -0.1, 4\/5, -3368, -0.3, -0.08?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1718*d - 1358*d + 382*d - 687*d - 1752*d)*(4*d**4 + 4*d**4 - 5*d**4).\nAnswer: -15399*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 7:01 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -7*f**2 - 3*f - 3. Let b(j) = -8*j**2 - 4*j - 4. Let k = 27 + -25. Let s be ((-10)\/4 + k)*-8. Determine s*a(y) - 3*b(y).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 2*u**2 - 3*u + 3. Give n(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 5*f**2 - f + 2. Let d(x) = -x + 13. Let w be d(7). Let l be o(w). Let c be 2 + 2\/(l\/(-30)). What is the closest to 0 in 2, 0.1, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, r: 6, k: 4, l: 2, y: 1, i: 2}. What is prob of picking 1 i and 3 r?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 7*f**2 + 15*f + 13. Determine d(-8).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 8*t**2 + 9*t + 1. Calculate the remainder when y(7) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44918 and 5016248?\nAnswer: 1214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 27 + 29)*(2 + q - 2)*(3*q**3 - 5*q**3 + 3*q**3).\nAnswer: 43*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 637653?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 70*t**3 - 2*t**2 + 2*t - 1. Let p be h(1). Let z = 80 + -34. Let f = p - z. What are the prime factors of f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56116\/9 + -6245. Let u = 1541\/144 + m. Calculate the common denominator of -49\/72 and u.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 107748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249 = 2*o + 2*b - 255, 3*o - 10 = -2*b for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/9, 0.03, -16, 410\/3, -2 in descending order.\nAnswer: 410\/3, 3, 2\/9, 0.03, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(1\/(3\/3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -8 - 5 - (0 + 10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 820105 divided by -1?\nAnswer: -820105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 976740303 to the power of 1\/2, to the nearest integer?\nAnswer: 31253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(2448) + sqrt(2448) + sqrt(2448)*-1 - sqrt(2448)) + 1 - (sqrt(2448) + 1)*3)**2 - (sqrt(2448) + 0 + 1 + 1 + sqrt(2448) + 5)).\nAnswer: -88116 - 480*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -165 in 1, -101, -5?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88907699?\nAnswer: 7877, 11287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 3*n + 7. Suppose 4*l - 17 = -2*k - 5, 3*k - 6 = -2*l. Let c be j(l). Factor 6*v**2 - 3*v - c*v**2 + v + 2*v**3 + 1.\nAnswer: (v - 1)*(v + 1)*(2*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 7*v**4 - 209*v**3 - 1786*v**2 - 2464*v + 3552 = 0.\nAnswer: -4, 6\/7, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 106, -2\/9, -4 in increasing order.\nAnswer: -4, -1, -2\/9, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -164710*b + 40577 with respect to b.\nAnswer: -164710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7*21\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 10 = 2*m + 33, o - 15 = 3*m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0 = -6. Suppose 0 = 3*k - 4*f - 24, -4*f + f = k - 8. Suppose -o - k = -10. Put -3, o, g in descending order.\nAnswer: g, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 30 = -15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*v + 2*v + 16, -5*w = 4*v - 20. Suppose -2*o + f = 0, 5 = w*o + 3*f - 5. Let l(p) = 68*p**2 - 1. List the prime factors of l(o).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1796315422?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 5cba?\nAnswer: -5cbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/5, -5, 10.6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 35\/(-8) - 285\/456.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*t + 10 - 10 - 2*t as x + w*t and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -64*p - 5466. Give g(-87).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**3 - 104*t**2 + t - 165. Calculate y(52).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(-15\/8)*m**(-8)*m\/(m*m*m\/((m\/m**(2\/13))\/m)*m*m)*m**(-6\/37)\/m assuming m is positive.\nAnswer: m**(-40177\/3848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -m - 3, -3*l + 5*m = -0*m - 15. Suppose -v = -l*v + 26. Let y be (40\/(-100))\/(v\/5). Which is the closest to y? (a) 2 (b) 5\/2 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -29.\nAnswer: -5\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 28*w**2 + 29*w + 16. Suppose 0 = -16*m - 532 + 68. Let u be j(m). Solve 14*n = u*n - 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 4) in base 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2580019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 1798*j + 25. Let n be w(-7). Is (-1)\/(-4) - (n\/12 + -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2880 is divided by 417.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 2 = 13*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 812587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -169 - -181. What is the highest common factor of 372 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-170 - -106) + 11 + 2 + 0 + 1 - -10.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 550160 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 6. Suppose 39 = -h*o + 3*o. Solve -5*d - 12 - o = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/81*-6)\/((-6)\/27).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5938*q - 11905*q + 8 - 210*q**2 + 5968*q as j + s*q + p*q**2 and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 17, 5, 701 in descending order.\nAnswer: 701, 17, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 18 + 33845*t**3 - 33847*t**3 + 63*t**2 - 63*t**2.\nAnswer: -2*t**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 4*f - 8. What is the hundreds digit of u(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345 is divided by 83.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -156598?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -20. Suppose d = 3*q - 4 - 2. Let i(x) = 2*x + 5 + 1 - x**q - 6*x - 4*x. What is i(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 90?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (-3 - 14\/1). Let n be 1*3*(h - -20). Suppose 2*b - 24 = -n*b. Solve b*t - 2*t = 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27264 = -3*t + 3*w, 4*t + 17*w - 36387 = 16*w. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x + 0*x - 3*x + (-4*x + 3*x + 3*x)*(554 - 196 + 308).\nAnswer: 1331*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26159012 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000232626 rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-22)*(-1898)\/(-85410)\nAnswer: -1\/110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - 121\/5. Let y = g - -32. Which is the closest to 1\/9? (a) 0.1 (b) 3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29691 - 28978. Calculate the remainder when a is divided by 236.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 134, 2, -4 in ascending order.\nAnswer: -4, 2, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 985200000 = 12*h - 31*h + 11*h. What is h rounded to the nearest 1000000?\nAnswer: -123000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 y when two letters picked without replacement from {t: 3, m: 4, y: 5}?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 165916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tzgsststgzts. What is prob of picking 2 s, 1 t, and 1 g?\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -18. Let m be (-24)\/x*36\/54. What is the tens digit of 0\/3 - m*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 928753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 238 + -7055561952\nAnswer: -7055561714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -m + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9081*u + 278125 = 4667*u - 2623*u for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26418*s**2 + 3*s - 158218.\nAnswer: -52836*s + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 5*j - 10 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 346684120.\nAnswer: 104005236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 527*k**2 - 11*k + 14. Let i(z) = 263*z**2 - 6*z + 8. Give -5*i(c) + 3*s(c).\nAnswer: 266*c**2 - 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (11 - (-456)\/(-40))*(-5)\/(-3). What is the closest to g in -1, -56, -0.5, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1872) + (sqrt(1872)*-2 - sqrt(1872)) + -4 - ((-2*sqrt(13) + sqrt(13))*2 - (-5 + sqrt(39)\/sqrt(3))).\nAnswer: -21*sqrt(13) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.29253 less than -8794?\nAnswer: -8797.29253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 488745*z**5 - 1386224*z?\nAnswer: 9774900*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -21001422 (base 5) to base 10\nAnswer: -172112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 11340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, -2, 371 in descending order.\nAnswer: 371, 5, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -68*k + 66*k + 3*q, -4*k + 2*q + 18 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -73392*m**2 + 125 + 73392*m**2 + 408*m**3 + m wrt m.\nAnswer: 2448*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 12:36 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (121*h**2 + 62*h**2 - 20*h**2)*((-3*h + h + h)*(2 - 4 + 3) - h - h + h) to the form z*h + s + o*h**2 + q*h**3 and give q.\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33025501 (base 6) to base 5.\nAnswer: -222434004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooii when four letters picked without replacement from oooiooooooooi?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}