diff --git "a/data/dm_maths/full_data/1962_11255.jsonl" "b/data/dm_maths/full_data/1962_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1962_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What are the prime factors of 2407119?\nAnswer: 3, 11, 13, 31, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.3002336 + 1.3. What is p rounded to 5 decimal places?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205011503 (base 6) in base 11?\nAnswer: 2035421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w + 1. Let n(s) = -5824 + 2930 + 44*s + 2898. Calculate n(g) - 3*y(g).\nAnswer: 41*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*q, -2*q = -4*k - 7 + 1. Let w be (4\/(-7))\/(8\/4). Is w > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 137 - 122. Let b(d) = 20*d + 6 - 2 - m. Is b(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 62 (b) 3 (c) -4 (d) -366\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 69 and 207?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*g + 70*g + 185*g = 5304 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(44)\/(2*sqrt(324) + sqrt(4)).\nAnswer: 5*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(3*sqrt(60)\/sqrt(5)).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -7*o + 8. Let c be n(-12). What is the greatest common factor of c and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4 = 3*h. Let l be 1 - 3 - h\/2. Let x(t) = -t + 1 + 1 - 7. Give x(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 8. Let m = -31 + 28. Which is the third biggest value? (a) m (b) -0.2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84782 is divided by 220?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 605 and 29161.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 74168 and 51864?\nAnswer: 480831144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 2:28 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -26\/25, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*k - 339 - 282 = 367 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 11 = -9. Suppose z*o = 3*o - 8. Let x be 4 - (-3 + (-2)\/(-1)). Put -2, o, x in decreasing order.\nAnswer: x, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 0.2. Let o = -4.96 + -0.04. Which is the closest to z? (a) o (b) -2\/3 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 4*n - 3*n + 5, -1 = 5*n + 2*s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244742?\nAnswer: 2, 79, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -186 - -178 - (11 + 2).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 12:56 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/3 + 97*h\/6 - 851\/6.\nAnswer: -(h - 37)*(2*h - 23)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36999, 34613, 32227, 29841, 27455, 25069?\nAnswer: 22683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 9:19 PM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20115 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.3 - -1.8. Let n be (-2)\/4 - 5\/(-5). Let d = -0.04 + -1.96. Which is the nearest to n? (a) d (b) 3\/7 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1963 + 1967 + 8*n - 15*n as q + s*n and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13\/33 + 206\/231. Let q = -0.09 - 0.11. Which is the nearest to -0.1? (a) l (b) q (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 80 (b) 6\/23 (c) -2\/25 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 227\/73 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(54)\/sqrt(3)*4)\/(1*sqrt(27) + sqrt(3)))\/(sqrt(30)\/(sqrt(10) - (sqrt(490) - (sqrt(490) + 2*sqrt(490) - sqrt(490)) - sqrt(490)))*6) + -3.\nAnswer: -3 + 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 316615?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 521 or 524?\nAnswer: 521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183382?\nAnswer: 2, 91691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -14. What is the remainder when 3\/c*354\/(-9) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(2*2\/(-192)). Suppose 8 = d + f. Let k = 74 + d. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 1337*k**5\/20 + k**3\/6 - 145*k**2 - 1442*k. Find the second derivative of q(i) wrt i.\nAnswer: 8022*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/((-6 + 3)*1). Let s(l) = 3*l - 1. Let x(p) = -3*p + 2. Let m(r) = -3*s(r) - 2*x(r). Let q be m(-1). Which is greater: f or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 49\/(-35) + 5 - (-1 + 5). Which is the closest to f? (a) 2\/7 (b) -4 (c) 136\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*o + 0*o**2 - o + 33 + o**3 - o**2 - 8*o in the form v*o + t + n*o**3 + x*o**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6699725*f**2 + 1565*f - 591.\nAnswer: -13399450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -13*f - 11. Let z be a(-11). Suppose l = -17 + z. Is 23 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3692.\nAnswer: 2, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/sqrt(3) + 2 + sqrt(7) - (sqrt(175) + 0 - sqrt(7) - sqrt(7)).\nAnswer: -sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10*1*1)\/((-34)\/17).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*o**2 - 33*o + 2079 wrt o.\nAnswer: -22*o - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -0.1, -1\/3, -0.37, 0.4, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d - 87*d = 6*d + 1425 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/8*1212\/25452)\/((1020\/(-16))\/(-5)).\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1099 divided by 1.\nAnswer: -1099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-310)\/(-775))\/(2\/(-5)))\/((-2)\/(-40))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -619\/4 - -27859\/180. Let a(f) be the third derivative of 0*f**4 - 5*f**2 - x*f**5 + 0 + 0*f + 0*f**3 + 1\/180*f**6 + 1\/315*f**7. Factor a(r).\nAnswer: 2*r**2*(r - 1)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-18) + (-39)\/(-18) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/18119?\nAnswer: -1\/18119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4928.84 + -4929.0409871. Let f = -0.201 - o. Round f to 6 dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -310711, -310949, -311187, -311425, -311663, -311901?\nAnswer: -312139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 0*y - 46\/105*y**7 + 0 + 5\/12*y**4 - 2\/5*y**5 - 5\/56*y**8 + 2\/3*y**3 - 23\/30*y**6 + 2*y**2. Let i(k) = 0. What is k?\nAnswer: -1, -2\/5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -94834.\nAnswer: -18966.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + -169 - (1 - 1). Let g = i + 1861\/11. Let y = -44655 - -44650. Which is the second biggest value? (a) 0 (b) y (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -14. Solve m*l - 3*l = 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.021429252 rounded to 2 dps?\nAnswer: 1.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 3 - 5. Suppose 12 = -3*j + 5*p, -15 = 5*j + w*p + 5. Let d(f) = -f**3 - f**2 - 3*f - 5. Is d(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gqqxxggzxxzxxxqxxx. Give prob of picking 1 x, 2 z, and 1 g.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5497038061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one ninth of a week?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u**3 - 9*u**2 - 9. Suppose -6*o = -5*o - 9. Let g be o*(-3)\/(-6)*-2. Let w(m) = -m**3 - 4*m**2 - 4. Determine g*w(c) + 4*t(c).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/3*18\/(-12)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2768445 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.12 - -8.12. Which is the nearest to -20? (a) 7 (b) 4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 7:16 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 7*p**2 - 9*p + 4. Let a be z(-5). Let l(o) = -4*o - 1. Determine l(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55*h - 6*h - 329*h)*(2*h**2 - 3*h + 0*h**2 + 9*h).\nAnswer: -780*h**3 - 2340*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8989?\nAnswer: 89, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zlzlzzkllzlzkzkz. Give prob of sequence ll.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73.572 - -3.\nAnswer: -70.572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -108 - -108. Let l(o) = 2*o + 23. Let t be l(-13). Put 3, c, t in descending order.\nAnswer: 3, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26607539, 26607546, 26607567, 26607608, 26607675?\nAnswer: 26607774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -4 + -4 - -9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/9*(-67 + 70). Suppose n - 1 - 1 = 0. Let o = n + 0. Solve 4*l = 4*y - o*y + 2, -w*l + 2*y = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 20*f + 50. Let o be n(-22). Let t(a) = -78*a**3 + 1. What is the remainder when t(-1) is divided by 1*o - (4 - 0 - 8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1808 divided by -40\nAnswer: -226\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 105929, 112866, 119803, 126740, 133677?\n\"Answer: 6937*r + 98992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*p**2 - p**2 - 2*p**2)*(-66*p**3 + 5*p**3 - 7*p**3) - 2*p**5 + 0*p**5 + 0*p**5.\nAnswer: 950*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2121111012212 (base 3) to base 11\nAnswer: -868454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + u - 2. Let j(q) = 3*q**3 + q**2 + 3*q - 6. Let i(l) = -3*j(l) + 8*m(l). Let v be i(-3). Sort v, -2, 12.\nAnswer: -2, v, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 3*v - 5. Let r be b(-5). Suppose -r*j - 30 = m, 2*j = 3*m + j + 10. Let u = m + 3. Let d(a) = a**3 + 4*a**2 + 2*a + 2. What is d(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -308*k**4 + k*m + 1821*m + 2 wrt k?\nAnswer: -1232*k**3 + m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3000) + sqrt(3000) + (sqrt(3000) - (sqrt(3000) - (sqrt(3000) + (sqrt(3000) - 1*sqrt(3000))))))\/(-2*sqrt(6)*3))**2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 0.38?\nAnswer: 0.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 13523*u + 81104. Calculate l(-6).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 262*m**2 + 1425 wrt m.\nAnswer: 524*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 89572\/17221 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*sqrt(1008) - sqrt(1008)) - -5*(sqrt(1008) + -1)**2 - (sqrt(1008) + 3*(sqrt(1008) - (sqrt(1008) + -1 + sqrt(1008)))**2 - (0 + sqrt(1008))**2*-3).\nAnswer: -1006 - 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 10*k**2 - 6*k + 3. Let l(y) = -19*y**2 + 11*y - 5. Let f be 2 + (-276)\/32 - 27\/72. Determine f*d(j) - 4*l(j).\nAnswer: 6*j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 7510 + 16033. Let l be (1 - 1412444\/6)*(-2)\/(-20). Let y = p + l. Calculate the common denominator of y and -1\/7.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -178344 less than -178343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1447 - 0.0553. What is the closest to b in -2\/13, 1\/3, -0.1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 366 + -365.96. What is the third smallest value in -1\/4, q, -3\/8, -0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c + 33 - 15 = 0. Let g(r) = -3*r**2 + 2*r - 1. Let u(a) = -a**2. What is c*u(o) + g(o)?\nAnswer: -o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 206 in decreasing order.\nAnswer: 206, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*d**3*i**4 - d**3*i - 2*d**3 + d**2 + 1048*d*i**2 - 134*d wrt i?\nAnswer: 12*d**3*i**3 - d**3 + 2096*d*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1068?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c - 10. Calculate f(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 times 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 - 14*x + 43. Is q(-26) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16016573\/5 or 3203316?\nAnswer: 3203316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00057801 rounded to 5 dps?\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -163708 (base 12) to base 8.\nAnswer: -1345070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p + 3*p + 0*p)*(1 + 0 + 2) - 5*p + 3*p + p.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, o: 4, z: 2}. Give prob of picking 2 f.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g - 2. Suppose -2*o = -o + 6. Let i be (20\/o)\/(-5)*-6. What is t(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 13*j**2 + 334*j - 204. Give d(13).\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1038 - -1071. Suppose -224 = 40*o - z*o. Let i = 21 - 52. Which is greater: i or o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.78 + 0.38. Let g = s - -14.400014. Round g to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 2:38 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 371 and 104783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/1503 and -50\/10521?\nAnswer: 10521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4050 or -16096?\nAnswer: -4050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 992 divide 24230592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -189*v**2 + 83.\nAnswer: -378*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 25*x**2 + 23*x + 73. Let u be g(26). Let o be -4 + 118\/(-10) + u\/25. Which is the second smallest value? (a) 4 (b) o (c) -0.5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -15*o. Let m(b) = 5*b - 9. Let j(y) = -4*y + 2*y + y + 2*y - 2. Let q(d) = 9*j(d) - 2*m(d). Calculate q(a(g)).\nAnswer: 15*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 10*z**2 + 2*z - 22. Let n(t) = 3*t**2 - 7. Let d(m) = 2*l(m) - 7*n(m). Determine d(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -70*n**2. Let y(k) be the second derivative of -7*k**4\/12 - 14*k + 9. What is y(u(c))?\nAnswer: -34300*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6577.156 nanometers?\nAnswer: 0.000006577156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7667.\nAnswer: 11, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5608817 by 5.\nAnswer: 5608817\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 2728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 - -83. Suppose -4*a = 4*g + 12, g = -0*g + a + 7. Suppose 3*z - 5*f = -0*z + g, -3 = -2*z + 3*f. What is the greatest common factor of c and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 0 + (15 - (35 - -5)) + 31.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + c**2 + c. Let f = -7 + 9. What is the least common multiple of 5 and r(f)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 154, 151, 158, 181, 226, 299?\nAnswer: 406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -117679*c**2*q**3 - 444*c**2*q**2 - 8*c**2*q - 36*q**2 wrt q.\nAnswer: -706074*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g**4 + 36*g**2 - 36*g**2 + (-g**3 - 3 + 3)*(2 + 2 - 3)*(-2*g + g + 0*g).\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -35 (b) 3 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/6*(-3)\/(-2). Suppose 5*l - 85 = 5*j, -4*l - 60*j = -57*j - 96. Let d be 9\/l + (-46)\/(-7). Solve 2*c + 4 = 0, 4*w + 22 = -d*c + y*c for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -19. Let j = 3 + -2.8. Which is the third biggest value? (a) x (b) 4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/15*2\/2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + t)*((1 - 4 + 4)*(1 - 2 - 1) - 4 + 4 + 3 + (3 + 0 - 1)*(-2 + 2 - 2) + 1 - 2 - 3 - 3 + 2 - 1 + 1 + 2 - 2) to the form w*t + u and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26109549 to the nearest integer?\nAnswer: 5110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*q + 840 = -216*q. Put -2, 137, q, -1 in decreasing order.\nAnswer: 137, -1, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.540911 at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 6 - 0 - 5 - -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 12:31 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, n: 3}. Give prob of picking 1 f and 2 n.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 2\/3, 7.3?\nAnswer: 7.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 * 312311\nAnswer: 24984.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-18)*((-1)\/9)\/((-53)\/(-3180)).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 4) + (-2 - -3 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q**4*s**3 - 10783471*q**3*s**3 - q**2*s**3 - 7*q**2 + 231846*q*s**2 wrt q?\nAnswer: 24*q*s**3 - 64700826*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 80, 69, 42, -7, -84?\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/1)\/(3\/(-186)). Calculate the highest common divisor of 2 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0\/(g**6*g))\/((g\/g**2)\/(g\/g**(-2)))*((g**(2\/17)\/g*g*g)\/g**6)\/(g**(4\/5)*g**(2\/7)) assuming g is positive.\nAnswer: g**(-5336\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 1:55 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/238 and 39\/340?\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*d = 74, -2*r + 7 = 2*d - 73. Let y = -28 + 40. Calculate the remainder when 2\/((y\/r)\/2) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.9 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express c**3 - 194*c + 351*c + 599*c**2 + 1403*c**2 - 2 - 159*c as d*c + a + s*c**3 + v*c**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*w**6 + 4*w**6 - w**2 - 4*w**6 wrt w?\nAnswer: 480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -z**5\/80 + 3*z**4\/32 + 35*z**2\/2 - 10. Let u(h) be the second derivative of r(h). Find q such that u(q) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g - 21 + 10 + 11.\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1102 + -3?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/22 (b) -0.2 (c) -5 (d) 2 (e) -37 (f) -3\/20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/108*(10\/(-4))\/((-170)\/(-3672)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(-3 + sqrt(272)) + sqrt(272))*-2)**2 + (sqrt(153)*-5 - (-1*sqrt(17) + sqrt(17) + -1))**2.\nAnswer: -606*sqrt(17) + 13762","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.6301 - -1.2301. Let x = -39\/5 - -327\/40. Which is the third biggest value? (a) 1.41 (b) x (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 98 - 97.805. What is w rounded to two dps?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -473 + 475. Let n = 28 + -193\/7. What is the nearest to m in n, -0.5, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 3*s - 8 = -14, 3*s = 3*t + 6 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (57\/60 - 1) + 42444\/(-720) + -16?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = 7*u + 89. Let p = 50 + u. What is the remainder when p is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*g**2*j**3*v**2 + g**2*j**3 + 45*g**2*v**2 - 3*g*j*v**2 + 4*g*v**2 - 6*j**3*v**2 + 2*j*v**2 wrt g.\nAnswer: 6*j**3*v**2 + 2*j**3 + 90*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9616790 divided by -961679?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46001 is divided by 123?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 245 = -2*v + 163, -5*v + 5*z - 85 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 u when three letters picked without replacement from {z: 5, b: 4, u: 2}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 3:54 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -10. Let n be 3\/f*15\/21. Let j = 2\/21 - n. Which is the biggest value? (a) j (b) -2\/7 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -13*h**2\/2 + 62*h + 93. Is q(-20) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12\/5? (a) 9\/2 (b) 21 (c) -0.3 (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g**4\/4 + 9*g**3 + 27*g**2 - 12*g = 0. What is g?\nAnswer: -2, 0, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1001110000000010 (base 2) to base 5\nAnswer: 2234223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - q + 14, -q + 2*q - 388 + 175 = a - 217 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ie when two letters picked without replacement from {e: 1, w: 2, u: 4, n: 3, i: 6}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 7*w**2 - 15*w + 4. Let t(g) = 3*g**2 - 7*g + 2. Let x(p) = 4*q(p) - 9*t(p). Let r be x(-4). Solve r*f = -0*f + 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4*y - 24, 3*y + 5*h + 7 = -4. Let r be -8 + y + 2 + 5. Solve f = r*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 2:21 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggtirtwigt. Give prob of sequence iitw.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -4*k**2 - 253*k + 22002. What is i(49)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 247, -2, 5, -1 in decreasing order.\nAnswer: 247, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 6) to base 5\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 0. Suppose -5*x + i = 6*c - 2*c, 2*x + 10 = 4*c. Suppose -4 = c*k, 0 = 4*z - k - 0*k - 102. What is the highest common divisor of 10 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/7)*i\/i**(-1\/4)*i**8*i*i*i*i**(-1)\/i)**(-1\/48) assuming i is positive.\nAnswer: i**(-93\/448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + (sqrt(11)*-2 + -1)**2)*5 - (sqrt(176) - (1 + sqrt(176) + sqrt(176) + 1*sqrt(176))**2)) + 3.\nAnswer: 45*sqrt(11) + 1813","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 - 199\/4. Let j = -403.008 - -404. Let i = j - 0.092. Which is the second biggest value? (a) 2\/13 (b) i (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4 + 11*h - 33*h + 16*h + 9*h. What are the prime factors of u(15)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -315*u + 2817. Calculate i(9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**5*w*w\/w**9)**34 assuming w is positive.\nAnswer: w**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1359*h + 0 - 680*h + 0 - 680*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5874)\/(-44))\/(3\/22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 412, 4921, 18458, 45949, 92320, 162497?\nAnswer: 261406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + ((4*sqrt(1053) + sqrt(1053) + -1 - (sqrt(1053) - (1 + sqrt(1053) - sqrt(1053))*-6))*-2)**2.\nAnswer: -2016*sqrt(13) + 67584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4197 = 2*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31651911 to the nearest integer?\nAnswer: 5626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28540721 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 n when three letters picked without replacement from {h: 1, o: 2, n: 2, b: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 12670\/404393?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -64617.\nAnswer: -2\/64617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 20 = -3*q + u, -24 = -3*q + 3*u for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 4*i**2 + 730*i + 5054. What is a(-7)?\nAnswer: 483","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15528.\nAnswer: 2, 3, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + (3*sqrt(91)*-2 - sqrt(91)) - -4*1*sqrt(91))\/(((sqrt(567) - (sqrt(567) + 1*sqrt(567) + sqrt(567))) + sqrt(567))*-1).\nAnswer: -2*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50 - -72. Let c = b - 38. Let l be (-164)\/c + (-2)\/8. Solve 0 = 3*v + l + 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1095 by -6.\nAnswer: -365\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -4*a**3 + 2*a**2 - 3*a + 2. Let u(f) = f**3 - 31*f**2 + 171*f - 20. Let o be u(7). Determine z(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - h + h**4)*(-1 - 1 - 1)*(0 - 2 + 0)*(-4 + 2 + 3).\nAnswer: 6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - (-1 - 10)) + (0 - -5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1992226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 220761328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34587 and 123403.\nAnswer: 9995643","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-18)*-4*9\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and -48875498.\nAnswer: -48875500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 7. Suppose -2*u = -0*u + m. Let j be u\/(-8) + (-13280002)\/8. Round j to the nearest one hundred thousand.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -20, 5*f = -w - 4*w + 80. Let l = w - 17. Suppose 0 = x + o - 9, -2 = 3*x - 4*o - 50. Solve -l*z - x = 3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2732*d**3*y**2 + 2*d**3 - 6*d**2*y**2 - 2*d**2 - 3*d*y - 11063*d - 36*y**2 - 179*y wrt y?\nAnswer: 5464*d**3 - 12*d**2 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x - 11. Calculate r(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**3 + 5*s**3 + s**3 + (31*s + 51*s**3 - 31*s)*(3 - 3 - 2))*(2*s**2 - 5*s**2 + 4*s**2).\nAnswer: -100*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 530*n + 861*n + 1509 = 444*n + 10032 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 2*y, -2*i + 3 = 5*y - 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10765031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -572*u**4 + 9*u**5 + 82*u + 1143*u**4 - 574*u**4 wrt u.\nAnswer: 180*u**3 - 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fsgs when four letters picked without replacement from siisgigfi?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 + 192603*b**2 - 3091037376*b - 9274845636.\nAnswer: -3*(b - 32102)**2*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1157962823.99999916 + 1157962718. Let s = -106 - w. What is s rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*p**4 + 47808*p**3 + 2*p**2 - 4106510 wrt p.\nAnswer: -16*p**3 + 143424*p**2 + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -868.3 in 0.5, -0.08, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 34 - (-1 - -25 - -10)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8512, 17019, 25756, 34837, 44376, 54487?\nAnswer: 65284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 + -59. Let c = -6 - a. Let k(t) = -3*t - 2. Let v be k(-5). Calculate the greatest common factor of c and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1876 is divided by 190.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*l - 53 - 233 = 0. Let b be 82\/6*(l - -10). Calculate the greatest common divisor of b and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (-10 - -9) - 5) + -6 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j + 7. Determine f(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30603, -61202, -91801, -122400, -152999, -183598?\nAnswer: -214197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1129*-0.1.\nAnswer: -112.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z. Let i(d) = -1291*d + 6. Calculate u(i(j)).\nAnswer: -1291*j + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -l**5 + 15*l**4\/4 - 5*l**3\/3 - 15*l**2\/2 + 10*l + 29. Solve o(f) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**4\/3 + 20*r**3 + 218*r**2\/3 + 88*r + 104\/3 = 0 for r.\nAnswer: -26, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, d: 4, r: 5, h: 1}. What is prob of picking 2 c?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -d**6\/90 + 8*d**5\/15 - 7*d**3 - 73*d. Let f(s) be the second derivative of v(s). Factor f(l).\nAnswer: -4*l*(l - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03297 - 70955766.794.\nAnswer: -70955766.76103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4\/15, 8, -5\/4 in descending order.\nAnswer: 8, 4\/15, -5\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/2 - 8761*u\/2 + 5460140.\nAnswer: (u - 7256)*(u - 1505)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -107 - -106. Which is the closest to -11? (a) f (b) -5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19074.02 litres in millilitres?\nAnswer: 19074020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b + 4. Let m be q(0). Let i be -5 - -4 - -3*m. Suppose 9 = 5*a + 3*s - i, s + 8 = 2*a. What is the closest to 0.1 in -1\/3, a, -0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27813?\nAnswer: 3, 73, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-5))\/(440\/(-100)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -52, -207, -476, -865, -1380, -2027, -2812?\n\"Answer: -x**3 - 51*x**2 + 5*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 301 - 181. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g + 3*r - 20, -268*r - 60 = 5*g - 263*r for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.61 from 0.0299595602481.\nAnswer: -0.5800404397519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 985 or -15649?\nAnswer: 985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102608623.\nAnswer: 13, 449, 17579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 26*p - 13*p - 8*p - 1 + 10*p**2. Let l be i(-5). Let v = l + -554. What is v rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065378479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 6*w**2 + 7*w + 18. Let m be k(-5). Let b(a) = 4*a + 0*a - m*a + 1. Let o(v) = -9*v + 2. Calculate -10*b(u) + 4*o(u).\nAnswer: 4*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from gppprprypxgxgpnxpp.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*d + 25 = -d, -s - 4*d = -15. Let m be s\/(-5 - (5 + -9)). Solve 2*f + m = f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (5 - -2) - 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/(-4))\/((-4 - 141892\/(-35474))\/(-88)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v = 2*u - 11*v + 8, -4*u - 3*v - 26 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/(-12))\/(4\/(-36)). Let p(m) = 13*m - m**2 + 0*m**2 + 2*m**2 - c - 8*m. Let y be p(-7). Solve -s - 5*g = 12 + y, s = 4*g + 7 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m. Let y(s) be the first derivative of -s**3 + 7*s**2\/2 - 7*s - 10. Let c(j) = 2*j**2 - 5*j + 5. Let v(r) = 7*c(r) + 5*y(r). Calculate l(v(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/729 or 1?\nAnswer: 10\/729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s - 45*s = 156172 - 156522 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-6))\/((-1)\/27). Let n = o - -3. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 7*b**3 + b**2 - 5*b - 5. Let z(a) = 4*a**3 - 3*a - 3. Let j(k) = k**2 + 5*k + 3. Let m be j(-2). Give m*f(h) + 5*z(h).\nAnswer: -h**3 - 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1009197 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1.6+2140.9\nAnswer: 2139.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -321 + 20*a + 41 - 101 - 106 - 237.\nAnswer: 20*a - 724","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2 + 4*r + 4. Let z(c) = 4*c**2 - 7*c - 7. What is 7*j(b) + 4*z(b)?\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -408, -815, -1222, -1629, -2036?\nAnswer: -2443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 3\/638 (c) -20 (d) 6\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 8:32 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2e02 - -41?\nAnswer: -2dc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28191 + -28166. Solve -35*p + 25 = d for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, i: 3, b: 1, r: 3, g: 1, w: 2}. Give prob of sequence wr.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 277006594 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2764 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58060 is divided by 177.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20382 by 129.\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -89, -220, -403?\nAnswer: -638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191908 is divided by 31972.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ur when two letters picked without replacement from ruuruuuururuuuuuuuru.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -75398, -957.\nAnswer: -75398, -957, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and ((-6)\/(-7) + 0)*(-281 - -2262).\nAnswer: 1698","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351090.\nAnswer: 2, 3, 5, 47, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 531738014.\nAnswer: 2, 265869007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.463 to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(((r*r\/r**(-1\/6))\/r*r)\/r))\/r**(-1\/39) assuming r is positive.\nAnswer: r**(-11\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 370 by -5.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11203003113221 - 20?\nAnswer: 11203003113201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 695 - 690.21. Let q = 0.21 + h. Let w = -13\/4 + 3. Sort w, -5, q in increasing order.\nAnswer: -5, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 25*f - 148. What is q(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -7*b - 3. Suppose -4*l = 0, l + 1 = o - 2. Let p(f) = o - 6*f - 6 - 1. Let x(r) = -5*m(r) + 6*p(r). Calculate x(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72 + (-5576)\/68 - (-6)\/(-4)*-88?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -442965*n**5 - 4*n**4 + 2*n**3 + 15748241*n**2.\nAnswer: -26577900*n**2 - 96*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/3 in -102298, -1.8, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*l**5 - 15*l**4 - 315*l**3 + 945*l**2 + 405*l - 2430.\nAnswer: 5*(l - 3)**3*(l + 6)*(2*l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 193165967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7250000 rounded to the nearest 100000?\nAnswer: 7300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -251863 * -1\nAnswer: 251863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 9*k + 2. Let s be q(-9). Suppose -d - s*y = -52120 - 117872, y + 170004 = d. Round d to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -24, -27, -30?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 2256?\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/20 and 109\/250?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 5*x - x)*(-13*x - 3*x + 11*x)*(-4*x + x + x).\nAnswer: 50*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j + 4. Let h be (5*(-33)\/(-110))\/(2\/(-4)). Determine i(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -508255?\nAnswer: -508257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d - 7. Let w(r) = -18 - 3*r + 3 - 5. Let a(n) = 17*b(n) - 6*w(n). Let q be a(6). Solve 0 = -5*z + 5*l + 20, z + 4*l + q = -4*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**8\/48 - n**5\/6 - 7*n**2. What is the third derivative of a(p) wrt p?\nAnswer: 420*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -88\/79 - -5487\/316. Let x be (1\/(-3))\/(6\/(-18)). What is the common denominator of 3 + (106\/16)\/x and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 69*j**3\/2 - 79*j**2\/2 + 27*j. What is the first derivative of d(l) wrt l?\nAnswer: 207","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 336, 2466, 8246, 19500, 38052?\nAnswer: 65726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -250769768 - 8197.\nAnswer: -250777965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 116, -131, -4 in increasing order.\nAnswer: -131, -4, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -2*r + 25, 16*b = 28*b - 3*r - 21 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**4 + 384*m**3 + 121952*m**2 - 20676864*m - 771858432 = 0.\nAnswer: -232, -32, 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 2*f - 2*f**2)*(0*f + 2*f - 3*f) + 3*f**3 + 4*f**3 + 2*f**3 - 2*f**3 + f**3 + 2*f**3 + 2*f**3 - 2*f + 2*f + (-2*f**2 + 2*f - 2*f)*(3 - 3 + 2*f).\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**3 - 5*y**3 - y**3 + (3*y - y - 3*y)*(-3 + 3 - y**2) + 3*y**3 - 2*y**3 + 2*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -13*f. Let i(y) = 149*y + 455*y - 32*y - y**2 - 25*y. What is i(w(g))?\nAnswer: -169*g**2 - 7111*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 - 2*y**2 + 0*y**2 + 10 + 2*y**2.\nAnswer: y**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 11:12 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 0.0373.\nAnswer: 0.01865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 574*m**2 - 110*m - 695. Is w(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-12) - (-27)\/(-18)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in sixty-seven quarters of a kilometer?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -363 + 256. Let w = 107 + i. Let m = 3.04 + -0.04. Which is the third smallest value? (a) 2 (b) -1 (c) m (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1305ba - 5?\nAnswer: 1305b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 10*g - 2. Suppose 0*s - 5*m + 83 = -4*s, -5*s - 2*m - 79 = 0. Let f(r) = -r**2 - 16*r + 22. Let c be f(s). Is q(c) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -12125, -12085, -12021, -11933, -11821, -11685?\n\"Answer: 12*k**2 + 4*k - 12141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - -9)*9\/4. Let h be 45\/b - (-2)\/6. Solve 2*v - 2 = -q, -3*q - h = -2*v - 2*q for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 14) in base 2?\nAnswer: -11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a + 1. Let l(z) be the second derivative of z**3\/6 + z**2 + 6*z. Let f(t) = 6*j(t) - 3*l(t). Let p(s) = 3*s**2. What is p(f(o))?\nAnswer: 27*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/15)\/((-159)\/(-1325)*10)*(-69)\/3.\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*o**3 + 262*o**3 - 86*o**3 - 91*o**3.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 7*q. Suppose -4*m = -5*f - 298, -3*m + q*f + 2*f = -220. Is m a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 37, 203 in decreasing order.\nAnswer: 203, 37, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 11*v**2 - 12*v + 3. Suppose 4*s + 84 = 11*s. Let g be w(s). Let d(p) = 7*p - 4. Calculate d(g).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.06 - -0.05. Let j = -0.11 + u. Are j and -2\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4*(sqrt(567)*-2 + sqrt(567) + sqrt(567)))\/(sqrt(108)\/(3*(sqrt(12) - sqrt(300)))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 6:19 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + j**2 - j - 1. Suppose -5*i - 9 = -8*i. Let r(s) = -4*s**3 - 3*s**2 + 2*s + 2. Let y(m) = i*n(m) + r(m). What is y(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -41095 - o - o + 41096. Let g(j) = 2*j. Let t = -269 + 267. Determine t*g(v) - 3*k(v).\nAnswer: 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -9806400 to the nearest ten thousand.\nAnswer: -9810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 486*(-2)\/2*8\/16. Let g = o + 236. Sort -4, -29, g in ascending order.\nAnswer: -29, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 5*k. Let p(n) = 2*n**2. Let f(o) = o - 29. Let h be f(32). Let q(u) = u**2. Let w(c) = h*p(c) - 2*q(c). Determine a(w(z)).\nAnswer: 16*z**4 - 20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 4268?\nAnswer: 29876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20381931.\nAnswer: 3, 37, 97, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13558*v**4 - 10107*v**2 - 126515498*v?\nAnswer: -162696*v**2 - 20214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44726 greater than or equal to -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 41825616.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -99.327 - 1.073. What is i rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3441218592?\nAnswer: 2, 3, 7, 19, 269519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -660 = -5*f + 3*m, 3*f - 2*f = 3*m + 120. Calculate the greatest common divisor of f and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + 13. Let l be m(-9). Find the third derivative of -x**l + 3*x**4 - x**2 - x**4 wrt x.\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m. Let r(s) = 314*s**2. Calculate r(q(y)).\nAnswer: 2826*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*a + 373 - 229 = 0 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 850\/13 and 64 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -598476*c**2. Let l(n) = 11*n**2. Determine v(l(u)).\nAnswer: -72415596*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 24*r - 27*r + 1, -3*x + 23 = -r. Let 38\/9*h**3 + 22\/9*h**2 + 2\/3*h**x + 26\/9*h**4 + 4\/9*h + 0 = 0. Calculate h.\nAnswer: -2, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence in when two letters picked without replacement from {n: 5, h: 6, e: 1, i: 1, v: 1}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17943197\/5544 - 45309\/14. Calculate the common denominator of w and 13\/594.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 117 = -3*y + 579, 0 = -4*b - y - 928. Let l be (-2)\/(-15) - b\/60. Suppose 0*h - 8 = -l*h. Calculate the lowest common multiple of h and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3265 - -4622. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1780678024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 6*n**2 - 9*n + 2. Let m be v(6). Suppose 4*q = -0*q - m. What is the smallest common multiple of q\/(-3) - 8\/(-24) and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3008721180.\nAnswer: 2, 3, 5, 43, 971, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b. Let s(t) = 3*t**2 + 3. Let d(j) = 14*j**2 + 11. Let f(l) = -2*d(l) + 9*s(l). Give c(f(o)).\nAnswer: -2*o**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3 - 834565*m**2 - 34823685080*m + 104478566460.\nAnswer: -5*(m - 3)*(m + 83458)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 12*z - 1. Let u be l(10). Let v = -16 + u. Suppose -x = -v*x + 54. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 328713920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -7\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-25)\/10 + 3 - 2013\/704. Let c = -415\/576 - s. Find the common denominator of c and 37\/80.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kgfgkkkffkggkfkg. What is prob of sequence ggk?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 402*p**2 - 17*p + 26. Is t(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19812521?\nAnswer: 47, 8969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 254 - 247. Calculate the greatest common divisor of n and 707.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from prrkrpprrpppkp. Give prob of sequence prk.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1216895269, 1216895267, 1216895265, 1216895263?\n\"Answer: -2*r + 1216895271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -12*g + 1. Let f be 1 + 3\/(-5) + (-12)\/(-20). Calculate i(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*i - 2345768*i**2 - 4*i + 0*i - 4*i + 2343420*i**2 to c + v*i**2 + n*i and give v.\nAnswer: -2348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -17*u**2 - 1883*u + 115. Calculate w(-110).\nAnswer: 1545","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 11*h**2 - 11*h - 4. Let y be a(12). Factor -12*o + 4*o**3 - y - 43*o**2 + 43*o**2.\nAnswer: 4*(o - 2)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16.4 - -21. Let j = -5 + o. Let d = -0.4041 - j. Round d to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -148421, -148416, -148399, -148364, -148305?\nAnswer: -148216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 63180 > 63068?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p - 2. Let m be o(2). Let b(r) = 6*r - 12 + 0 + 15 + r**2. What is the tens digit of b(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 446031241.\nAnswer: 73, 181, 33757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0 + -1 + 86 + -14 - (10 - 5)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 23 - 1547*s**3 - 81 - s + 32.\nAnswer: -1547*s**3 - s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 125*c + 175. What is s(-3)?\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1061665533?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 15*i - 7. Suppose 0 = 2*q + 3*j + i + 7, -2*j - 16 = -4*q. Solve 3*n - 2 = -2*w, 5*n = q*n - 3*w for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 5*u - 11519*j + 11522*j, 4*u - 116 = 13*j for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1625028113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u - 25, 3*u + 27 = 3*y - 0*u for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - 18348?\nAnswer: -18327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-6*sqrt(2880)*2)\/(sqrt(36)\/sqrt(4)*-4 + -2*sqrt(9)*3).\nAnswer: -144*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*h - 30*h + 33 = 0. Suppose h - 133 = -i - 2*a, 15 = -5*a. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 + 5460*q - 223200.\nAnswer: 3*(q - 40)*(q + 1860)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20748 to the power of 1\/2, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*v - 6 = 1, i - 3 = -v. Suppose -2*h + 3*t + 30 = h, -5*t = 0. Suppose h*g = 2*g. Solve -6 = -i*y + 2*a, g = 2*y - 3*y + a for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29764 and 63?\nAnswer: 267876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/10 - (-288)\/120?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002967 rounded to 5 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 4*k - 2*k)*(2950 - 1471 - 4*k - 1468).\nAnswer: 12*k**2 - 33*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 8:58 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47\/108 + -5\/27. Which is the nearest to 3\/5? (a) l (b) 1 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8609912 to the power of 1\/3, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 + 50. Find the third derivative of -9*v**3 - 11*v**2 + 4*v**3 - v**a wrt v.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11\/13 (b) 4 (c) -5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 7*k**2 - 7*k - 2. Let g be m(-6). Suppose -g*x - 4*q + 68 = 0, 3*q = -4*x + 7*q + 76. Calculate the remainder when x is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/147798 and 99\/46.\nAnswer: 147798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20932632*t**3 + 13607280*t**2 wrt t.\nAnswer: -125595792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001110 - -11100101?\nAnswer: 10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29584 divided by -29584.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h - 3*h + 2*h)*(-3 - 2 + 2) + (2 + 1 + 0)*(-6 + 3 + 2)*(103*h + 51 + 54 - 107) as o*h + c and give o.\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 75\/6)*2. Let z be (5\/2)\/(60\/120). Suppose 362 = 2*h + 14*v - 12*v, -z*h - 4*v = -908. Calculate the highest common factor of h and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/93? (a) 5 (b) 1\/7 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 5*j**2 + 7*j - 24. Give w(-6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(245) + (1 + sqrt(2))*-3)**2 - (sqrt(6)\/(sqrt(6)\/sqrt(2)) + sqrt(2) + sqrt(56)\/sqrt(7)).\nAnswer: 92*sqrt(2)\/7 + 1241\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*g - 69*g = 6*b + 63*g - 2, 32 = 7*b - 4*g - 5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -158*v**4 - 5392*v**2 + 1832*v**4 + 141*v**4 + 333*v**4 + 1498*v**2 wrt v.\nAnswer: 51552*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 857.7717 litres?\nAnswer: 857771.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v - v + 5*v)*(4*v - 5 + 5) - 2*v**2 + 2*v**2 + 3*v**2.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = c - 3*w, 3*c + c + 3*w - 454 = 0. Let d = 65 - 19. Calculate the highest common divisor of d and c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5 = 80. Suppose x - 1 = -2*a, 27 + 0 = 5*x - a. Solve -w - 20 = 4*y, -4*w + 2*w = x*y + z for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -339.5 - -419. Let t = 79 - y. Which is the closest to t? (a) -0.3 (b) 0.4 (c) 1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1089505776 and 0.5.\nAnswer: 1089505776.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 9. Which is smaller: f or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + h - 28. Let m = h + 21. Solve d - 3*g = 11, -m = 5*d + 2*g + 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 99 = -5*n + 143, 24 = -6*o. Suppose -z = z - 368. What is the highest common divisor of n and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8856)\/1368*2736\/144\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*p + 3 = -1, -64 = -4*m + 4*p. Calculate the common denominator of 8\/m + 447\/(-80) and -7\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 1124*q**5 - 90004*q**4 + 677748*q**3 - 1769868*q**2 + 1585224*q - 108864 = 0.\nAnswer: 21\/281, 2, 3, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 1245?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103, -214, -351, -514, -703, -918, -1159?\nAnswer: -1426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(130) + sqrt(130))*6)\/(sqrt(100)\/(sqrt(10)*2)))**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a - 5. Let y(s) = s + 3. Let t be y(-3). Let x = -6 + t. What is the units digit of c(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -6.2 (b) 5 (c) -4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (-20)\/((-2)\/1). Let k(v) = 6*v**3 + 40*v**2 + 57*v. Let i(m) = -m**3 - 8*m**2 - 11*m - 1. Let h(f) = -11*i(f) - 2*k(f). Determine h(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 533\/5 - 107. Let j = -197\/3 - -64. Sort -0.1, j, x in increasing order.\nAnswer: j, x, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 14*f - 5 - 10*f - 7*f. Let a be (-9)\/2*12\/9. Determine o(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of u**3\/6 + u**2\/2 - 4*u. Let g(t) = -7*t + 4. Let r(s) = -6*d(s) - g(s). Determine r(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1410933*s**2 + 38107*s**2 - 3487138*s**2 + 291949*s**2.\nAnswer: -4568015*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 105 by 6.\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17174 and 14?\nAnswer: 120218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-36)*3)\/((-2)\/18)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-4\/7))\/(k*k*k**(-2\/9)\/k*k))\/(k*k\/(k*k**9\/k)*k*(k\/k**(1\/16))\/k))**(-15\/2) assuming k is positive.\nAnswer: k**(-23755\/672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 7*i + 8 = 0. Let z be (2\/5)\/(i\/10). Let x(l) = -2*l. Give x(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27148.\nAnswer: 2, 11, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -185? (a) 2\/9 (b) 32 (c) -0.2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2278 is divided by 269.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*x + 4, x + 0*s + s - 3 = 0. Let t be ((-6)\/24)\/(x - 2). Which is the fourth biggest value? (a) -2\/7 (b) t (c) -1 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2, -1028 in descending order.\nAnswer: 2, -6, -1028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 792 divided by -741276.\nAnswer: -22\/20591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 3. Let q = n - -4. Sort q, 3, 0 in increasing order.\nAnswer: 0, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 11. Let m = i + 0. Let z = m + -1. What is the closest to 0.2 in -5, z, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 8 = 0, -26*i + 6*d = -30*i + 16. Suppose 0 = -4*v - 0*b - 3*b + 1, 3*v - 2 = -b. Sort -4, -3, i, v.\nAnswer: -4, -3, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1052.7 and 214.24 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xp when two letters picked without replacement from {x: 2, o: 1, p: 1, w: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 11*y**2 - 17785*y - 213276. What is g(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0463 - -23.7463. Let p = q + -23.206. Round p to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 13.7. Which is the nearest to 0? (a) x (b) 0 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3 + sqrt(5) + 1))**2 + (sqrt(5) - (4 + (sqrt(5) - 1*sqrt(5)))**2 - sqrt(5) - sqrt(5))*1 + -1.\nAnswer: -145*sqrt(5) + 307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 4110.\nAnswer: -4\/2055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 10*s + 10. Let d be a(11). Let g = 1 - d. Solve -w = -g*w + 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 2 - (-3 - -1)) + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 11*p - 2 - 6*p.\nAnswer: 5*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8 - 1)*((-936)\/91)\/(-8). Solve -2*w - 4*r = -0 - 6, 0 = -3*w + r + l for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1289 + -2077. Let i = w - -2366\/3. Factor i*d - 1\/6*d**4 - d**2 + 4\/3 - 5\/6*d**3.\nAnswer: -(d - 1)*(d + 2)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p - 4. Let q(b) = 3*b + 11. Let r(w) = 4*q(w) + 11*t(w). Let c(u) = 2*u**2. Calculate c(r(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.9 (b) 38 (c) -0.2 (d) 3\/11 (e) -101\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 5*b + 6. Let t(g) = 2*g + 2. Let u(k) = 17*t(k) - 6*x(k). Let n = 11 + -8. Calculate u(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3711*h**3 - 7660*h**3 - 1 - 4325*h**3 - 6823*h**3.\nAnswer: -15097*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 316.5, -1, -182, -0.2?\nAnswer: -182","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 263448?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 divided by 4047?\nAnswer: 121\/4047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 88374791?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 6*q**2 + 16*q - 21. Suppose -2*g + 0*p = 2*p + 26, -p = -2. Let z be a(g). Let h = -1416 - z. What is h rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 285\/7 + 2\/7. Suppose -h + 12 = -3*x + s, 5*h + 10 = 0. Calculate the remainder when 17 is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 10 + 856*l - 336*l - 522*l + 35 - 13.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 11*p**2\/2 - 79*p - 4. What is the tens digit of j(23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 366 and 809058921?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -5 - (-3 - (-8 - -11))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -174216045 divided by -5\nAnswer: 34843209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43 by -43.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*u**5 + 4*u**3 + 11*u**2 - 21*u wrt u.\nAnswer: -1620*u**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/17138 and -129\/4180.\nAnswer: 171380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.5 - 8. Suppose 152 = -58*f + 500. Which is the third smallest value? (a) i (b) 3\/2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 145783792, 145783795, 145783798?\nAnswer: 145783801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 2*p = 0. Suppose 0 = -2*c - 5*g + 15 - 6, -3*c - 3*g + 27 = p. Let d = 1253 - 1213. What is the lowest common multiple of d and c?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-62517\nAnswer: -62517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, -4, -248, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*c - 11*c - 2 - 4.\nAnswer: -22*c - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - d - 6 = 2*z, 0 = 5*d + 2*z + 6. Suppose -u + 6 + 2 = d. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*4*29\/5104*-16.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one fifths of a century?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7036 is divided by 271?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13034 (base 8) to base 12.\nAnswer: -3338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and 2100.272.\nAnswer: 2099.872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0, 2, -0.1, 14390?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/2 + 2445*o\/2 + 1222.\nAnswer: (o + 1)*(o + 2444)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -dd0 + 12?\nAnswer: -dbc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 31468 divided by 31468?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/15)\/(0 + 9\/(-180)). Let p(o) be the first derivative of -b*o**3 + 5 - 5*o**2 - 1\/2*o**4 - 4*o. Factor p(j).\nAnswer: -2*(j + 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367247 to the power of 1\/2, to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b - 3. Let p(a) = -1. Let m(r) = o(r) - 3*p(r). Let x(j) = 0*j - 3*j + 3*j - 2*j. Determine x(m(z)).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 64946, 64311, 63678, 63047, 62418?\n\"Answer: t**2 - 638*t + 65583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 31*l**4 + 16*l. Let u(r) = -8*r**4 - 4*r. Let v be 18\/9*18\/(-4). Let i(o) = v*u(o) - 2*m(o). Find the second derivative of i(c) wrt c.\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21200 (base 3) in base 12?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -7*r**6\/720 - r**5\/48 + r**4\/24 + r**3 + 1. Let p(l) be the third derivative of o(l). Factor p(k).\nAnswer: -(k + 1)*(7*k - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.06, 0.3, 44\/23?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.63 meters in nanometers?\nAnswer: 91630000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 144.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 11*r**5\/30 + r**4\/3 + 30*r**2. Find the second derivative of b(j) wrt j.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 17*f + 114. Let t be h(-5). Solve 5*y = -m + 3*m - 12, 0 = t*y + m + 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433*z - 2665 - 2184 = 10672 - 1232 for z.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -5 - 3*v + 2*v + 4*v + 2*v**2 - 1. Is l(3) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -242400, -484799, -727198, -969597, -1211996?\nAnswer: -1454395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (329 - 132 - 1114)*(-1 - n + 1).\nAnswer: 917*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by (-1 + 2)\/(94\/4606).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/111794359 and -44\/1839791.\nAnswer: 1900504103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s**3 + 6*s**2 - 140*s + 558. What is w(4)?\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 2:28 AM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 6869900 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 4*i - 39. Let c(f) = f + 3*f**2 - 2*f**2 - 2*f**2 + 8*f**2. Calculate the remainder when i is divided by c(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 1:02 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 7302999*k. Let n(f) = -7*f**2. Calculate t(n(w)).\nAnswer: -51120993*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -1)*(15 + -14). Suppose x = 13*u - 772 - 1048. What is the least common multiple of u and 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 1691692?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-4)*4\/(-10). Let p = -39.5 - -13.4. Let c = 26.2 + p. What is the second biggest value in z, 5, c, -1\/6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 20*w - 50. Let x be p(-16). Calculate the greatest common divisor of 42 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 - 41*b + 45. Determine c(19).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 8 - 7*w**2)*(2 - 7 - 3)*(-1 - 2 + 1) in the form n*w**2 + z*w + j and give n.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a16 + -5?\nAnswer: -2a1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.07 (b) 400.2 (c) 0 (d) 0.4 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m. Let r(i) = 74*i**2 + 234 + 230 - 464. Calculate y(r(o)).\nAnswer: -74*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*m - 169*m + 52*m + 59*m + 6*m**2.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -4*i**5 - 17980*i**4 - 5277152*i**3 + 21324496*i**2 - 21396480*i = 0?\nAnswer: -4179, -320, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 2768.54893 to the nearest 100.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8.411 and -197.2.\nAnswer: -188.789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 3*h = -11, -14*h + 15 = n - 18*h for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 473447194.\nAnswer: 2, 11, 73, 294799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 11670000 to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 42220 divided by -2?\nAnswer: -21110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 183, 1\/5, 66, 4 in descending order.\nAnswer: 183, 66, 4, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4462154 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) 3 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 4*b + 0*b = 22, 0 = 2*h + 5*b + 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 2 - 3)*(-1 + 1 - w) - 8 + 8 + 4*w + (0*w + 0*w - 3*w)*(-3 + 1 + 3))*(-1 - 2 + 2)*((2 - 4 + 4)*(-3 + 1 + 3) - 5 - 3 - 3) as x + y*w and give y.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/sqrt(275))\/((sqrt(8)\/sqrt(2) + sqrt(4))*1) + 5.\nAnswer: sqrt(3)\/10 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 50, 1 in decreasing order.\nAnswer: 50, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15490 and -0.3.\nAnswer: -4647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g - 67 + 67 + 2 - 2*g - 2 - 7 + (4 - 3 - 7)*(g - g + g).\nAnswer: -9*g - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + -79\/4. Suppose 2*a = 3*w - 14, 0*a + 3*w - 16 = 4*a. Is z at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/(-12))\/(2\/(-8)). Suppose -m + 3*m - 36 = -a*j, -4*j + 4*m + 68 = 0. Calculate the remainder when 40 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 668*i + 4200 = 673*i. Calculate the greatest common divisor of i and 300.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5946)\/(-40))\/((1\/10)\/(170\/136)). Which is bigger: 1857 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 3*l**5\/5 - 27*l**4\/2 - l**3 + 27*l**2 + 28. Determine t, given that j(t) = 0.\nAnswer: -1, 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12296382 is divided by 12296372?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of d**6\/360 + 11*d**4\/12 - 5*d. Let r(o) be the third derivative of w(o). Let l(c) = 5*c. Calculate l(r(y)).\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 5*d - 5. Let c be n(-4). Let f be c*(-4 + 2 - -7). Is 11*1*(f + 8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y**2 + y**2 + 2*y**2 - y**3. Let p be u(-2). Solve 0*j = p*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 59 + -3550a5?\nAnswer: -355047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2922433 to the power of 1\/2, to the nearest integer?\nAnswer: 1710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n + 24*n = -15*n + 51580. Is 2579 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, e: 12}. What is prob of picking 3 h and 1 e?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4351 - 4347. Solve 4*p = 36*g - 40*g + 4, 0 = -l*p - 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0*i = -3. Let s = 0.2 + -0.5. Which is smaller: i or s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 4785775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - o**2 - o + 3. Suppose -68 = 24*f - 7*f. Determine a(f).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -15. Suppose -4*j - x = -7003, -x = 2*x - t. Round j to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (32*c - 59 + 59)*(-14*c**2 - 49*c**2 + 6*c**2) to g*c**3 + p*c**2 + s + b*c and give g.\nAnswer: -1824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zkzc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 16, 69, 160, 295, 480, 721, 1024?\n\"Answer: d**3 + 13*d**2 + 7*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 b when two letters picked without replacement from {h: 1, g: 1, b: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*x = 202*x - 3027024. Is x a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -620a0 (base 11) to base 15\nAnswer: -1bcb3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b - 141 + 145 - 4 - 14*b + 2*b.\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5780070 and 72?\nAnswer: 23120280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (12 - 5) - (-2 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 45222204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -27\/4, -9188, -2, 1\/7 in descending order.\nAnswer: 1\/7, -2, -27\/4, -9188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*g - 20*g + 9*g - 9*g in the form o*g + k and give o.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118951 + 1644 + 18697 = -1038*z for z.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64 - -64. Which is smaller: x or 1\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1167 + 323. Suppose -7*k + 12*k = m. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24 - -1?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25408.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, g: 3, s: 2, f: 3, v: 1}. Give prob of picking 1 g and 1 a.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3173?\nAnswer: 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (28\/24 - (-14)\/(-28))*-9. Put 2, k, -3, 8 in descending order.\nAnswer: 8, 2, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qkw when three letters picked without replacement from wjwkqqwwwuwj?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19500, 38578, 57236, 75474, 93292, 110690?\nAnswer: 127668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 391860 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17155 and 365?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 899 - 1675. Let z = -694.9 - s. Let h = z + -81. Which is the closest to h? (a) -4 (b) -3 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -t**7\/126 - t**6\/90 - 4*t. Factor u(g).\nAnswer: -g**4*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*p + 7088729 = 26*p - 46*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-160284)\/2960)\/361*4\/5?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 1\/4, 7, 9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - 0 - (-15)\/5. Suppose -3*a + x = -5*m + 13, 13 = -5*a + 3*m. Let n be a\/(-10) + (-37)\/135. Which is smaller: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/3)\/(x*x**(-4\/7)*x))\/(((x\/x**(-1))\/x)\/x)**(-49)*x\/(x\/(x*x**(1\/10)*x))*x**(-1\/5)*(((x**(-1)*x)\/x)\/x)**33 assuming x is positive.\nAnswer: x**(-13901\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*q - 8*q + 2547788 - 2547788.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -2. Let u = 490 - 482. Solve -t = -0*i + 3*i + 4*y, 0 = -2*i + 2*y + u for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9541 - -15968. Calculate the greatest common factor of 33 and z.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 0 - (7 - 11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m**2 - 3*m - 318. Let k(o) = -3*o**2 + 2*o + 319. What is -3*k(t) - 2*u(t)?\nAnswer: 3*t**2 - 321","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2757 + -2102. What is the remainder when d is divided by 35?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*l + 13*l - 16*l in the form v + g*l and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-28)*(-105)\/(-30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6573885 to the nearest 10000.\nAnswer: -6570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76339371 to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 - -42. Let x = b + -9. Suppose 4*u + 5*d = -u + 250, x*u - 140 = -d. Calculate the remainder when u is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**2 + 43806880*d - 43806885 = 0. Calculate d.\nAnswer: -8761377, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 5:19 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37064 and 4?\nAnswer: 37064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -48, -165, 70, -5 in ascending order.\nAnswer: -165, -48, -5, -2, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + h = -4, -52*y = -57*y + 3*h + 12. Are y and -3\/59 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 10\/9, 0.2, -6, 0.1.\nAnswer: -6, -4, -2, 0.1, 0.2, 10\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, 1\/3, -1.2, 9522, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -601*l**3 - 687*l**2 wrt l?\nAnswer: -3606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-228)\/(-5)*-7*3\/(-945) and 157\/120?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9b256 - 336?\nAnswer: 9ae20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/25)\/(308\/35 + -10)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 115 (b) -2 (c) 6 (d) 1 (e) -0.1 (f) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/17 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 3)*(-3 + 3*x + 0 + 5).\nAnswer: -6*x - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 3*t - 82, 3*t = -2*t + 5. Suppose 306 = h*s - 34*s. Is -15 at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 272886?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*v + 1407 = -67*v - 242 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*x + 61, -12 = -5*x - 2. Let u = 69 - n. Suppose -h = 4*a - 761, u = -4*h + 3*h + 5*a + 743. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/6 - (-122)\/(-12). Suppose 0 = 4*f - 0*f - 112. Let p = n + f. Is 7 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2501*j - 2 - 1 + 1266*j - 11 + 1233*j.\nAnswer: -2*j - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4150302 hours in nanoseconds?\nAnswer: 1494108720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8))\/(4\/4*1)*18.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 - 33. What is the greatest common factor of r and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5171144 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t + 6*l + 43, 111*t = 90*t + 5*l - 6*l + 102 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-198)\/(-27)*6\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -v + 12 + 10, 3*v = 3*d - 6. Suppose 3*h = 4*a - 52, -2*h - 46 = -3*a + 2*h. Sort a, 2, d in ascending order.\nAnswer: 2, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -119.71332 + 113.514. Let b = 6.2 + w. What is b rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 u, and 1 r when four letters picked without replacement from ruoorouuuxxurxu?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 261, 26, -367, -918, -1627, -2494, -3519?\n\"Answer: -79*v**2 + 2*v + 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1715, -3445, -5175, -6905?\nAnswer: -8635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 350, 381, 412, 443?\nAnswer: 474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p - 2. Let q(k) be the first derivative of -25*k**2\/2 + 17*k + 2582. Give 6*q(r) + 51*t(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 8:51 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -203101 (base 4) to base 11\nAnswer: -1772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-60)\/140 - (-9)\/21. Let y(j) = -j**3 + 4*j**2 - 2*j. Let p be y(3). Suppose 3*r + h - 208 = f, 5*r + 0*r = -p*h + 344. List the prime factors of r.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 5:45 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209872375.\nAnswer: 5, 1678979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 7*v + 60 = 3*v, 0 = -2*k + v - 18. Let u = -98 - k. Let i = -30 - u. Does 19 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*h = 5*g - 3445, 3*h = 15. Let b = g - 130. Is b a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q + 3. Let k = 1 - -4. Let s = -4 - k. Let b = s - -6. Calculate o(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 75 = 2*u - 5*u, -2*o + 20 = -2*u. Suppose -g + b + 1 = -0*g, 5*g - b = -o. Let d(w) = 4*w**2 - 4*w - 4. List the prime factors of d(g).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 396 by 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 250826647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h**3 + 2108*h**2 - 1994 wrt h?\nAnswer: 6*h**2 + 4216*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 2, 14, -10, 4, 3 in descending order.\nAnswer: 14, 4, 3, 2, -10, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-516307.\nAnswer: 516307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -628, -4988, -16830, -39898, -77936?\nAnswer: -134688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-1\/8))\/(y*y**(-3)) assuming y is positive.\nAnswer: y**(25\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 4, -0.15, 1?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -14.5, -9537, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003526708 to 5 decimal places.\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63 - -74. Let d be 6*(66\/(-12))\/x. Which is the closest to -0.2? (a) d (b) 1\/2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -21*h + 86. Let t be 6\/((-7)\/(-2) + -2). Let a be j(t). Solve -a*q - 2*b = -5*q - 14, b + 11 = -3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4553 by -1.\nAnswer: 4553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 3*w**2 - 2*w - 2. Let h = -27 + 29. Let y(k) = 6*k**3 + 15*k**2 - 11*k - 9. Let p(r) = h*y(r) - 11*z(r). Factor p(d).\nAnswer: (d - 2)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -4*z - 36. Let u = z + -17. Solve 3*r + u - 16 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 3)*(-3*u**3 + 4*u**2 - 4*u**2 + (2*u + 2*u - 3*u)*(2*u - 2*u - u**2) + 52 - 52 - 31*u**3) to the form d*u + p*u**2 + i + l*u**3 and give l.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o = -2*o + 21 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.11 - 1.8. Let u = 0.09 - l. Let a = -5.99999976 + u. What is a rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -1.3, -7 in descending order.\nAnswer: -0.3, -1.3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-40)\/12 + 3)*-12. Factor -g**5 - g**f - 6*g + 6*g.\nAnswer: -g**4*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(6*(sqrt(192) + sqrt(192) + -2*sqrt(192) + 2 + 1*(-2 + sqrt(192)))**2 + -1).\nAnswer: -5755","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 z when two letters picked without replacement from {k: 2, y: 2, z: 3, a: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 432 - 436. Let p be (-1880)\/(-55) - 4\/22. Let x = o + p. Calculate the least common multiple of 9 and x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 15 = -2*i. Let r(s) = i - 5*s + 4*s - 2. What is the units digit of r(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 26 (c) 0.1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + (-4)\/(-6)*-6. Let b = p - -3. Let c(q) = q**2 - 5*q**2 + q**2. Determine c(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 23114?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/42540 and 46\/34957245.\nAnswer: 139828980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.00425 - -2.99575. Do t and 2.9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1948593103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4460 is divided by 821?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 9218652?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, d: 8}. What is prob of picking 1 k and 3 d?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**4\/24 - 7*z**3\/6 + 1251*z**2. Calculate q(25).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 274105 - -1?\nAnswer: 274106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 1. Let l(m) = 2*m**2 - 2*m + 8. Give 3*g(f) + l(f).\nAnswer: 2*f**2 - 2*f + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -103 - -102.99999914. What is p rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, f: 1, l: 1}. Give prob of sequence fmlm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 17, 0, -0.3, -3\/8.\nAnswer: -0.5, -3\/8, -0.3, 0, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1066 = 26*t - 25*t. Is t a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, y: 2, f: 4}. Give prob of picking 2 y and 1 f.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 112.61052 microseconds?\nAnswer: 0.0000000013033625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3959, 1, 0, 45 in descending order.\nAnswer: 3959, 45, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4 + 3*l + 5 - 4. Let c(k) = 2*k - 7. Let u be c(6). Let m(t) = -3*t + u*t + 2 + 2 - 1. Give 5*m(y) - 3*r(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 70\/(-21) - 1\/(-3). Let y = -48 + j. Calculate the lowest common multiple of y\/(-6) - (-4)\/(-8) and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48524 = 4685*f + 166986 for f.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 - -2.7. Let f = 35 + -39. What is the third smallest value in b, -0.05, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 288848?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*k + 10 + 8*k + 11*k - k - k**2 = 0. Calculate k.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, 2\/31, -4, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lg when two letters picked without replacement from {b: 2, l: 2, g: 8}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 809 divide 844596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3 = 6. Let t = -711619\/5 - -142324. Which is the nearest to v? (a) 4 (b) 1\/4 (c) 5 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 4:02 PM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + 4*sqrt(143)*1)\/(sqrt(11) - (sqrt(11) + (1*sqrt(704) + sqrt(704) - sqrt(704)) - sqrt(11))))**2.\nAnswer: 325\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2391 = -7*w. Is 37 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 divided by 22?\nAnswer: -23\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17764 - -12192. Let j = m + 12386. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.8 * 0.13293.\nAnswer: 0.372204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + (sqrt(252) - (-3*sqrt(252) - sqrt(252))) + sqrt(63))\/((sqrt(54)\/sqrt(3))\/sqrt(2)) - (5 + (3*sqrt(56)\/sqrt(2))\/sqrt(4) + -3))**2.\nAnswer: -40*sqrt(7) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210 is divided by 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eetmeceqctt. Give prob of picking 2 e.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66396 = 4740*d + 284436 for d.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*p + 769, 0*p - 2*p - 2*u = -754. Suppose 0*o + p = -o. Let c = 749\/2 + o. What is the common denominator of c and -9\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3748, 5, 4, 6 in descending order.\nAnswer: 6, 5, 4, -3748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3814167519?\nAnswer: 3, 9433, 44927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -24 and 445969.\nAnswer: 445945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 n when four letters picked without replacement from mnhmmnn?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**3 - 4*j**2 + 3*j + 2. Let z be y(-4). Let s(v) = 3547*v - 7100*v + 3549*v. Let o(h) = 45*h. What is z*s(p) + 5*o(p)?\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 3:55 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 2b?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295367 is divided by 372.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*a**3 + 16*a**3 - 9*a + 17*a wrt a?\nAnswer: 156*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 2:38 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 95346807 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 50*c - 9. Let l(b) be the first derivative of -4*b**2 + c*b + 5 - 2\/3*b**3. Factor l(n).\nAnswer: -2*n*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -5*m + 3. Let b be j(0). Solve 3*f = -2*l - 15, -3*f = l + 9 + b for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z + 5. Let v be g(3). Let s be 4\/(-6)*(-2)\/v. Which is smaller: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z**(-6)*z)\/z)\/(z*z**(2\/19))*z\/z**(2\/25)*z*z**(1\/2) assuming z is positive.\nAnswer: z**(-3501\/950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 5858, 1 in decreasing order.\nAnswer: 5858, 1, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106079 is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3505069189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 - 36*n + 2. What are the prime factors of z(-9)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*d = -140*d + 35 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 23*p + 8 - 2 - 4 to w + x*p and give x.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -7456*s - 40. Let p(r) = -2*r. What is p(y(b))?\nAnswer: 14912*b + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b**3 + 241*b**2 - 543*b - 103. Give u(78).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58556?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103355*-0.08.\nAnswer: 8268.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51.13 + 48.9. Let r = i + 0.73. Is -0.1 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f + 3*f - 44 - 121.\nAnswer: 3*f - 165","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2227363, -2227379, -2227397, -2227417?\nAnswer: -2227439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 433, 870, 1605, 2638, 3969, 5598?\n\"Answer: 149*q**2 - 10*q + 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4*(1 + sqrt(11)))**2.\nAnswer: 32*sqrt(11) + 194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = -2*v - 0*v. Does 17 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1865 + 0.1086. Let j = i + 0.0284. What is j rounded to 3 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 685031760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 3 - 0. Is 2\/95 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 285\/(-10)*(-4)\/22 - (-10)\/(-55). Let z(s) = s**2 - s + 2. Let p be z(0). Solve 0 = -h*x + f - 4, p*f - 6 = 5*x + 3*f for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 115 and -16145.\nAnswer: -1856675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4418?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - i + 47 = q, q - 36 = -3*i. Let w(j) = 733*j + 5133. Let x be w(-7). Solve -x = 3*m - i for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.1 - -2.6. Put 4, b, 3 in increasing order.\nAnswer: b, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -723091, 3, -2 in ascending order.\nAnswer: -723091, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1600, -1612, -1630, -1654, -1684, -1720, -1762?\nAnswer: -1810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 154 and 2695.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2782\/4155 + -4\/1385. Let s be 138\/(-396) - 2\/(-11). What is the smallest value in 15, s, o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -83.5 + 84. What is the closest to 0.2 in n, 5, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18096550 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 322 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4*y - 20. Let s(p) = p**2 + p. Let i(a) = -4*a**2 - 4*a + 5. Let h(t) = -i(t) - 3*s(t). Calculate h(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, -57689, 9 in descending order.\nAnswer: 9, 0.6, -57689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/(-336)*8 - 118048\/6. Let o = -6630501\/337 - p. Calculate the common denominator of -40\/9 and o.\nAnswer: 3033","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 18*a**2 + a - 8. Give l(18).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.74? (a) -5 (b) 1 (c) 26 (d) 12 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -125, -119, -111, -101, -89?\n\"Answer: f**2 + 3*f - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 179*d - 10166. Calculate v(87).\nAnswer: 5407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 9:48 PM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 4*u + 1040, -5 = 16*u - 15*u. What are the prime factors of c?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 131*b - 136*b. Let a(x) = x - 1. Let p(o) = -1. Let j(d) = -2*d - 4. Let w be (-2)\/(-6)*-5*3. Let h(s) = w*p(s) + j(s). What is b*a(v) + h(v)?\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3908 + 3954. Solve 44 = -2*k + y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -28.2, -0.3, 3, -2, 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*p**2 - p + p.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {e: 2, u: 13, o: 3}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9)\/36 - (-1083)\/12?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 17. Let z = b + 17. Let y(r) = r**3 - 12*r**2 + 13*r - 12. Calculate the least common multiple of z and y(11).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/1*42\/10*(-83)\/(155376\/(-130))?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmc when three letters picked without replacement from {c: 2, r: 5, v: 1, m: 2, k: 4}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 3:48 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*x**4 + 2*x**5 - 2*x**3 - 22*x**4 + (-3*x**3 - 4*x**3 + 4*x**3)*(67*x**2 + 0*x**2 - 19*x**2).\nAnswer: -142*x**5 - 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 635 + -383. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25283 * -0.06.\nAnswer: 1516.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -21*r. Let l(n) be the second derivative of -n**4\/12 - 8*n. Give u(l(f)).\nAnswer: 21*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 8*j**2 + 16*j + 35. Suppose 0 = -y - 10 + 13, -4*y = 2*u + 6. Give x(u).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-4)*24\/(-60)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.285629 rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4132, -8279, -12426, -16573?\nAnswer: -20720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1153250 - 5?\nAnswer: -1153255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1976)\/(-420) + (-4)\/(-42) - 5.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -23*o - 2078. Calculate r(-89).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3679 + -2899. Does 78 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**3 - f**2 - 6*f + 14. Let n be j(2). Solve 65 = -n*z + z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 66\/15 + 2\/(-5). Suppose 7 = 3*i - 2. Suppose 4*p = i*p - 2*b + 35, 3*p - n*b - 95 = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 3, u: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -12, -9.\nAnswer: -12, -9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1215251223 - 4?\nAnswer: 1215251215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 l when two letters picked without replacement from ljllljl.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 5*x + 19, -5*x + 18 = -5*x + 3*m for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5*z + 1. Let p(b) = b**2 + 7*b + 2. Let i be p(-7). Suppose 3*w - i = 1. Give s(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/171 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3023 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216 divided by -6.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 2*i - 1. Let y be p(1). Solve 4*r - y*a = -5*a + 3, -3*r - 4*a - 3 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25303 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15167 is divided by 77.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -7268, 502?\nAnswer: -7268","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*z + 24*z - 5109 = -98*z + 15*z for z.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 2\/17, 5, 3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t - 8 = -12*t - v, -5*t - 3*v + 3 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3280404?\nAnswer: 2, 3, 273367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 0*y**2 + 1\/12*y**4 + 0*y**3 - 32*y + 0. Let w(v) = -21*v**2. Calculate w(p(f)).\nAnswer: -21*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 924521.8 decades?\nAnswer: 9245.218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64898 = 9*h - 7*h. Let n = 57349 - h. Suppose -8*k - n = -11*k. Round k to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 + -18. Is 3\/(-18) - (-182)\/k a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/2 of a millimeter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -82234, -82328, -82422, -82516, -82610, -82704?\n\"Answer: -94*q - 82140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 422 - 425. What is the nearest to -2\/7 in 3, t, -5\/4, 24\/11?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + -39. Let u = q - -75. Is u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000005218 to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -u**4\/24 - 5*u**3\/6 - 2*u**2. Let p be c(-9). Does 7 divide 1\/p - (-78)\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1346 and -12?\nAnswer: 1358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.23 - 0.443\nAnswer: -0.213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 37*q - 1744 = 39*q, 3*v + 2*q = 1748. Solve -27 = -591*c + v*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3133, -0.1, -0.052, -1, -4?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8799\/(-189) + (-72)\/162?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4 = 0, 3*s = 3*g + 2*g - 12. Suppose 0 = 2*c + g*r - 78, 5*c + r = 4*r + 153. What are the prime factors of c?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 497*d - 190*d + 5*d**3 - 121*d - 186*d.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402*f = -114*f + 20*f - 5952 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (-6 - (4 - 11)). Let y = 163 - 83. Suppose 0 = -s + 3*n + y, -5*n + 12 = d. What are the prime factors of s?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -5*p + 0*p + 2*p + 11 + 2*p. Let n be k(9). Suppose 0 = -n*h + 16 - 4. What is the remainder when 10 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18035d (base 14) in base 7?\nAnswer: 10121646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109081934.\nAnswer: 2, 13, 29, 144671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 11*n**2 + 5*n + 25. Give q(-11).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/3? (a) -2\/63 (b) 2\/13 (c) 59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 2. Let j be (-17)\/5 - h\/(-5). Let k(t) = 751*t - 5. Let y be k(0). Sort -2, y, j in descending order.\nAnswer: -2, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.553 + -0.044. What is m rounded to 2 decimal places?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16156*u + 6010*u - 49831*u + 4547*u.\nAnswer: -55430*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n**2 - 8*n - 5. Suppose -4*w = -0*w + 5*v - 38, 2*w - 2*v = 10. Let b(m) = -5*m**2 + 15*m + 10. Let j(r) = w*h(r) + 4*b(r). What is j(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31522187 to the nearest integer?\nAnswer: 5614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*c - 31*c = 40 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - l = -4*l + 72, -32 = z - 5*l. List the prime factors of z\/22 - 23405\/(-55).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170)\/(sqrt(160) + sqrt(10)) - sqrt(17)*-1*-2) + 0)**2.\nAnswer: 1377\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 42\/2 - (2388 - 2367). Let n(z) = -6 + 0*z + 22 + z. Determine n(o).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*j**2 - 3*j**2 + 3*j**2 + (2 + j**2 - 2)*(1 + 1 - 3))*(7 + 21 - 18) to b + d*j**2 + v*j and give d.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 - 398665*s**2 + 1594580*s.\nAnswer: 5*s*(s - 79729)*(s - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -567*j - 59 + 20 + 19 + 23 to z + x*j and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 6 - 3 = 0. Let w = 5 - u. Let l = 251 + -254. Sort w, 4\/11, l.\nAnswer: l, 4\/11, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.19 and 3665.\nAnswer: 3664.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300829 is divided by 207?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + n - 1. Let f(t) = 2*t**2 - t + 1. Let i = 17 + -14. Suppose 4*g + 3*o = -17, 2*g - i*o = 3*g + 11. What is g*f(m) - 2*h(m)?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 43148\/27738*(-3)\/(-4)\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 72354*w**3 - 122317*w**2?\nAnswer: 434124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2744*g + 2739*g = -5*d, -65*g = -62*g - 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16b43 - -2?\nAnswer: 16b45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/8 + 106387*p**2\/4 + 212771*p\/2 + 106385.\nAnswer: (p + 2)**2*(p + 212770)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 361 - 363. What is the closest to 10 in -0.3, g, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or -12?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/4914 and -71\/315.\nAnswer: 24570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 385, 386, 387, 388?\n\"Answer: x + 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*o - 15. Let d = o - 11. Let i(f) = -3*f - 7. Let j be i(-5). Solve -u - d = -4*m - 0*u, j = -2*m - 2*u for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (340\/(-12))\/(13 - 1216\/96)\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a kilometer in centimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187405*g - 187413*g + 562226*g - 187411*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*y + f, -4*f + 10 = 22. Sort 1, -21, 6, y.\nAnswer: -21, 1, y, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1459 - 1017 + 259)*(4 + 0 - 3)*(5 - 2*p - 5) to the form u + r*p and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*q + 3*q + 3*q)*(1 + 0 - 2) - q + 5*q - q)*(5*q - 5*q - q - 8 + 5*q + 8 + (-6 + 3 + 2)*(3*q - 5*q + 4*q) + 3*q - 5*q - 2*q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 25*a**2 + 6*a**2 - 38*a**2. Let i(w) = -353*w**2. Determine k(i(v)).\nAnswer: -872263*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -24 - (166 - 92 - 86)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15\/17023? (a) 11 (b) 0.5 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x - p = 82, 516*x = 1025*x - 513*x - 9*p + 66 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l - 287. What is a(19)?\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 11*k**2 - 18*k - 72. Let d be f(-10). Suppose c - 2*c = -269. Suppose -d*g = -27 - c. What are the prime factors of g?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 divided by -557?\nAnswer: -59\/557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 3\/41, -1\/3, -222.1 in increasing order.\nAnswer: -222.1, -1\/3, 3\/41, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/60 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -t**3\/3 + 1. Let j be (-3)\/(-6) + (-21)\/(-6). Let f(c) = 0*c - 2*c - c - j*c. Give f(k(x)).\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*s + 82*s = -44. What is the nearest to -11 in 1\/6, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u = w + 67, w - 81*u + 84*u = 17 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29153\/31 - 940. What is the common denominator of q and ((-1)\/6)\/((-36)\/(-1488))?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1850 by 2.\nAnswer: -925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 4 + 6. What is the third derivative of -r*t + 2*t + 0*t - 2*t**3 - t**2 wrt t?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - 9. Let k = 42 + b. What is the greatest common factor of 50 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4218, -11686, -22410, -36384, -53602, -74058, -97746?\nAnswer: -124660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 594 minutes before 6:32 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of 2401*s**6\/90 + 686*s**5\/15 + 98*s**4\/3 + 112*s**3\/9 + 8*s**2\/3 + 8*s. Factor o(b).\nAnswer: (7*b + 2)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25373969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 196 = v, -4*v + 4*s = 6*s + 734. Let p = v - -186. Solve p = -4*t - 0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 11:07 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -29.1 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 892 and 2676.\nAnswer: 2676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5828562405 to the nearest integer?\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22773915*r - 62169960 wrt r.\nAnswer: 22773915","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*y - 256 = -22*y. What is the third smallest value in y, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-130)\/(-6) + (-670)\/(-1608)*8\/(-5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m - 1. Let a be z(-1). Let o = -2 + 0. Sort 5, a, o.\nAnswer: a, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4 = 0, 2*p = r - 80 + 84. Let j = 0.2 - -2.8. What is the second biggest value in j, 1\/7, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1690, -1762, -1888, -2074, -2326?\nAnswer: -2650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(-2\/11)))\/(u*u**1*u)*u*u**(-6)*u*u**(2\/11) assuming u is positive.\nAnswer: u**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4266 = -804*d - 1447*d - 2217 - 270 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5679676 divided by 4?\nAnswer: 1419919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ylk when three letters picked without replacement from llkyke.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12 - (-1)\/(-5)*(2 - -3). Suppose 4*n = 5*n - p. Calculate the remainder when 39 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x - 15*x + 2*x.\nAnswer: -14*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 417*k**2 + 2911*k - 62. Determine g(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -h**2*m**2 + 128*h**2 + 6*h + 17085*m**2 - 2*m + 3 wrt m?\nAnswer: -2*h**2*m + 34170*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 5*m + 10 = -5*w, -4*m - 11 = -3*w for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 115634 times 0.5083?\nAnswer: 58776.7622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1b30b9 (base 16) to base 12\nAnswer: -71b275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010100111 - 10111111100001?\nAnswer: -11001010001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51294?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/17 (b) 0.154 (c) 2\/271\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbsezbsbsnnsbbb. What is prob of sequence ssnn?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 6*t**3 + t**2 + t - 1. Let k(u) = 498 + 5*u**3 + u**2 - 996 + u + 497. Let v(s) = -4*k(s) + 3*p(s). Give v(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -12*y - 6*y + 14*y. Let x(g) = 2*g. Let d(b) = b**2 + b. Let t = -22 + 24. Let k(v) = t*d(v) - x(v). Give k(h(j)).\nAnswer: 32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1287704924 - 0.4.\nAnswer: 1287704923.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -86579, -87009, -88161, -90395, -94071, -99549, -107189?\n\"Answer: -60*x**3 - x**2 - 7*x - 86511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p**2 + 19*p + 1. Calculate l(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3*(-4*sqrt(2057) + sqrt(2057)) + -5*(sqrt(2057) + -3*sqrt(2057) + sqrt(2057))))**2.\nAnswer: 131648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 = 7793\/755?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19686319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183 + 450 = 267*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 5*x**2 - 6*x + 5. Let p be w(6). Suppose 1 = p*l - 14. Suppose k - l*j - 31 = -k, -4*j + 43 = 5*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 12, 0 = 5*f + 3*l - 3 - 3. What is the third derivative of -2*d**2 - 12*d**2 - 10*d**2 + 5*d**2 + 16*d**f wrt d?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2589.\nAnswer: 3, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/3841 + -710587\/7682. Let y = n - -93. Which is greater: 2 or y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y**2 - 9*y - 15. List the prime factors of g(5).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -13157, -26392, -39647, -52928, -66241, -79592, -92987?\n\"Answer: -z**3 - 4*z**2 - 13216*z + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -7 + 0 + 27 - -4. Suppose -s*o = -28*o + 156. Calculate the remainder when o is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4822337ng in kilograms?\nAnswer: 0.0000000000004822337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115, -176, -277, -418, -599?\nAnswer: -820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9741, -9849, -9957, -10065, -10173?\n\"Answer: -108*b - 9633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 7:39 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -31989, -127797, -287465, -510993, -798381, -1149629, -1564737?\n\"Answer: -31930*d**2 - 18*d - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 1:37 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -163, -160, -157, -154?\n\"Answer: 3*l - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1858755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6274 + 6285. Let q(d) = d**2 - 20*d + 47. Give q(n).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3850\/9 - 428. What is the second biggest value in -0.1, 0.04, u, 8?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 5:34 AM?\nAnswer: 506","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -486\/7, -3\/7, -5?\nAnswer: -486\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 589115623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27491 + -26201. What is the remainder when g is divided by 160?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4*n = 15, -2*n - 2 = -5*p - 1. What is the third smallest value in -73\/3, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l. Let k(g) = g**3 + 6*g**2 + 5. Let t be k(-6). Suppose -t = -m - 2. Let c be y(m). Which is bigger: c or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 + 4*j - 4*j. Let l(z) = 3*z**2 - 12*z**2 + 10*z**2. Determine l(d(s)).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - q = -3*q + 10, q + 5 = 0. Let c(h) = 52*h - 1. Let x be c(g). What are the prime factors of (-1)\/3 - x\/(-21)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p + 56 + 140. What is the remainder when (82 + -1)\/(18\/12) is divided by p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g + 4915. Let p(m) = -3*m**2. Give p(s(b)).\nAnswer: -12*b**2 + 58980*b - 72471675","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 52*p**2 - 6*p + 6. Let r = 60 + -48. Let l be ((-16)\/r)\/(2\/(-3)). What are the prime factors of q(l)?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3002, 6001, 8998, 11993, 14986, 17977, 20966?\n\"Answer: -i**2 + 3002*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j + 8*j - 7*j - 2*j + 5*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2018364*j*l + 658996*j wrt l.\nAnswer: -2018364*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399 is divided by 26.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n - 62. Let w be t(15). Let b = 93 - w. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-24)\/(d**2\/d) assuming d is positive.\nAnswer: d**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25014214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11451633 (base 7) to base 16.\nAnswer: -f949e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*x**2 + 12*x**2 - 8*x - 1 + 5*x + x**4 - 6*x**3 as m*x + p*x**3 + r*x**2 + h + g*x**4 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1457708621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 - 356 = -5*f. Let w = 41 + -94. Let q = f + w. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eu when two letters picked without replacement from uuuuuueeuuueuuuuuuuu?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 45605 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -16*x - 21. Let m be s(-5). Solve 16*t = m + 53 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31227663?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(-8) - 189\/(-36)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*a + 1216 = -97*a. What are the prime factors of a?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003 rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 667\/(-5) - (-3)\/(-5). Let w = n - -93. Let j = 63 + w. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10*105\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nz when two letters picked without replacement from zznzzzznzzz?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 2\/43, 1, 0.5, -1.5?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2660705, -5321415, -7982125?\nAnswer: -10642835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 1684810072812*u**2 - 22482060*u + 75 = 0.\nAnswer: 5\/749402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11\/(-4) + 2\/(-8). Let v(r) = 2*r**3 + 2*r**2 + r - 1. Let w(k) = k**3 + 2*k**2 + 2*k - 1. Let x(b) = -2*v(b) + 3*w(b). Is 16 a factor of x(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 2*g = -0*m - 24, -g = -2*m + 8 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 2)*1\/3. Let i(s) = -4*s**2 + 68*s - 284. Let u be i(9). What is the nearest to 1\/4 in u, o, -22?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 11:28 AM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k - 12*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 140 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (32\/10)\/(6\/(-15)) - -3. Sort 0, -0.3, -5\/2, d.\nAnswer: d, -5\/2, -0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 - ((3 - 14) + -8 + 2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 1.398.\nAnswer: -8.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 102755 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 6177*f + 6176*f - 23.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*j + 9*j + 2*j)*(4 + 9 + 2).\nAnswer: 660*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 212101122201 (base 3) in base 6?\nAnswer: 13511501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-594)\/(-4))\/33?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 1211?\nAnswer: 5\/1211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 17 - (-9 - 1) - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-1) + ((-6)\/9*7 - 3380\/(-975)).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23*q**2 + 30*q**2 + 31*q**2)*(-604 - 417*q + 140*q + 306 + 298) to the form f*q**2 + x + z*q**3 + o*q and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(52) + (sqrt(1053) - (1*sqrt(1053))**2) + sqrt(1053) + sqrt(1053).\nAnswer: -1049 + 29*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1 + (-13)\/(13\/(-30)) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -705*q + 1322. List the prime factors of u(-18).\nAnswer: 2, 31, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 5*w + 16. Give a(-9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.98 and -0.014327.\nAnswer: -1.994327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18*(-26)\/(-156))\/((-50)\/16 - -3).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 3*w + 19 - 12, r = 4*w + 17 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 107810529 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6537 > 6536?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hs when two letters picked without replacement from {h: 4, v: 1, l: 1, e: 2, s: 2}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9398*v - 1533*v - 1048*v + 2567*v.\nAnswer: 9384*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10989 + 10990. Sort 7, 402, c in decreasing order.\nAnswer: 402, 7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-84)*7 + -1 + -208. Let g be (-6 + h\/(-36))*-4. Factor -5\/6*m**2 - g*m**4 + 0 + 4\/3*m**3 + 1\/6*m.\nAnswer: -m*(m - 1)*(2*m - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/((-7)\/(-7))*43\/(-258)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z**3 - 3*z**2 + 10*z**2 + 5*z**3 + 3*z to o*z + m*z**3 + b + q*z**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4131) - (sqrt(4131) + (sqrt(4131) - 3*sqrt(4131))))\/sqrt(3) + 4 + (sqrt(272) + 1)**2.\nAnswer: 26*sqrt(17) + 277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 12 + 6 = -24*x. Which is bigger: x or 37\/160?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-6))\/(3 - 9). Sort -4, x, -8 in decreasing order.\nAnswer: x, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1313 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k - 2064 = -33*k. List the prime factors of k.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 5*l**2 + l + 4. Let s(b) = b**2. Determine -m(n) + 2*s(n).\nAnswer: -3*n**2 - n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 + 0*v + 0*v)*(1124*v - 565*v - 557*v - 22).\nAnswer: 2*v**3 - 22*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 459976324 to the power of 1\/2, to the nearest integer?\nAnswer: 21447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 59522974?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -168 + 198. Let r = f + -17. What is the highest common divisor of r and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5*w**2 - 4*w**2 + 7*w**3 - 19 + 7*w**2 + 10*w - 5*w**2. Is j(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5518, -5485, -5452, -5419, -5386?\n\"Answer: 33*y - 5551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*d + h = -6, d - 3*h = -10. Let q(i) = 2 + 2 + i + 6 + i**d. Determine q(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -27701*l**3 + l**2. Let b be (-10)\/15*((-7)\/2 - -2). Let j be x(b). Round j to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.5 and 1964632520.\nAnswer: 1964632518.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -s**4 - 13*s**3 + 184058*s**2 - 248490519*s.\nAnswer: -12*s**2 - 78*s + 368116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 290 - 286. Suppose 0 = x - y - p, -2*x - 10 = -3*x + 3*y. Solve a + 5*i + x = -0, -4*i + 3 = -3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*s + 5*s + 4*s + (s + 0*s + 0*s)*(-5 + 2 + 2).\nAnswer: 15*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*i + 13*i - 38*i**2 + 23*i + (3*i - 1 + 1)*(-i + 2*i - 2*i).\nAnswer: -41*i**2 + 7*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 56 + 23. Is c at most 78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 30937*u**2 - 30936*u**2 + 92816*u**2 - 1 + 3 - 30929*u**2.\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4487266565.\nAnswer: 5, 73, 12293881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013229917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8253892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/21)\/i**(-3\/2))\/(i*i\/(i\/((i*i**(-3\/7)\/i)\/i))*i*i**5) assuming i is positive.\nAnswer: i**(-167\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 546238.4mg to nanograms.\nAnswer: 546238400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 4\/5*s**5 + 0*s**2 + 1\/3*s**3 + 1\/4*s**6 + 0*s + 7\/8*s**4 + 2. Suppose i(q) = 0. Calculate q.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12816 divided by -6\nAnswer: -2136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventeen halves of a hour?\nAnswer: 30600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -5, 0, -2\/11, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 23*x**2 - 18*x - 23. Let r be b(22). Let s be (-10)\/r - 21298\/(-26). Suppose 4*t + 5*t - s = 0. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4583203007?\nAnswer: 29, 89, 1775747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3821?\nAnswer: 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -178*u + 22. Does 27 divide v(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3120 is divided by 30.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of 11*d**6\/75 + 29*d**5\/50 + 7*d**4\/30 - 29*d**3\/15 - 18*d**2\/5 - 35*d - 2. Suppose m(s) = 0. Calculate s.\nAnswer: -18\/11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 12:49 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -65, -128, -219, -338?\nAnswer: -485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/13, -4\/7, -1.5, -1?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 36, 48, 58, 66, 72, 76?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28172571 is divided by 4695427.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*k - 34142 = -34222 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0213 - 0.0987. Are -0.1 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4337.862 kilograms?\nAnswer: 4337862000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 34*x**2 - 3*x - 105. Give l(-34).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1412 - -2034. What are the prime factors of w?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5767 (base 8) in base 10?\nAnswer: -3063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/(-1296) + 10\/336.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 3*n + 1. Calculate g(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**2 + 5*t - 7. Suppose 25 = -2*o + 3*b, 5*b - 45 = 2*o + 2*o. What is the remainder when d(o) is divided by (-6)\/(-4) + (-351)\/(-26)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70 - (35 - 2)) + -62.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of q*u**3 + 69*q*u**2 - 510*q*u - q - 14*u**3 + 38*u**2 + 4*u wrt u?\nAnswer: 6*q*u + 138*q - 84*u + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1553*n**4 + 1547*n**2.\nAnswer: 37272*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2276937 and 50193?\nAnswer: 25046307","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 338007657 divided by 3?\nAnswer: 112669219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 393.5 - -385606367.3.\nAnswer: 385606760.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*s - 3*n - 6, -20 = -4*n. What is the highest common divisor of 7 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 4 + 2 + 8*a**2 + 0*a**3 - 3. Is 26 a factor of n(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/2644661 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + -5 + 0 + sqrt(833) - sqrt(833))**2 + -4 + 3 + sqrt(833) + 2 + 2.\nAnswer: -63*sqrt(17) + 861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 111*r - 81. Let l(f) = 4*f - 3. Let g(p) = -2*d(p) + 54*l(p). Let b(t) = 54*t. Give g(b(c)).\nAnswer: -324*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*o - 33*o + 34*o + 50*o.\nAnswer: 110*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 557077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 23, 9, -3, -13, -21?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7, 0, 4, -2868, 5 in descending order.\nAnswer: 7, 5, 4, 0, -2, -2868","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 2. Let v(w) be the third derivative of -w**4\/12 + w**3\/2 + 5*w**2. Calculate 6*i(y) - 4*v(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27658*a - 12452*a + 14913*a + 12264*a + 53174*a.\nAnswer: 95557*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.3 - 2.30000111. Round k to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 15*p**2 - 16*p - 22. Determine i(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5 = -p, -4*p + p + 2*r + 1 = 0. Let c be 1\/1*(-2)\/(-9). Let k = -2.1 - -2. What is the closest to k in 4, c, p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 5:54 AM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -1425, 8, 9, -2 in increasing order.\nAnswer: -1425, -2, 8, 9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -2*r**7\/105 - 3*r**6\/5 + 7*r**5\/5 + 19*r**4\/3 - 2*r**2 - 192*r. Find z such that k(z) = 0.\nAnswer: -19, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-70 + -21)*(1 + 2\/(-1)). Let l be (-2)\/(-5) + i\/35. Suppose -9*s = 3*u - 4*s - 14, -4*u = -l*s - 38. Solve -3*c - u + 2 = -3*v, 0 = v + 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/9 + -2\/9. Let z = -1.08 - -6.08. Which is the second smallest value? (a) z (b) t (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2\/9 + 21148*p\/9 + 14710048\/9.\nAnswer: 4*(p + 824)*(p + 4463)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 4) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67744?\nAnswer: 2, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 531*a - 16*a**3 - 265*a - 266*a.\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-202)\/(-3488) + 11\/(-44). Let v = p + 1\/218. Let o = 157017\/20 - 7846. Find the common denominator of v and o.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3781 - 3766. What is the highest common factor of 6645 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*h + 4 = -35*h + 2*x, -5*h + 10 = 4*x for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 9*l. Let c(f) = -15434*f. What is c(o(w))?\nAnswer: -138906*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38) + sqrt(76)\/((-1*sqrt(2) - sqrt(2)) + sqrt(2)))\/(sqrt(2)*2*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -456641, -913285, -1369937, -1826603, -2283289, -2740001, -3196745?\n\"Answer: -o**3 + 2*o**2 - 456643*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 242 and 234542.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/20 + 1\/(-4). Suppose -2*k + 4 = -f*k. Suppose v + k = 5. Solve 7*l + 4*u + 8 = v*l, 5*u + 10 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*h**4*z - 4522*h**2*z**3 + 582422*z**3 wrt h.\nAnswer: 44*h**3*z - 9044*h*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -396119\/642 or -617?\nAnswer: -617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.03 + -7. Let g = 624.49 - 624.39. Sort 2\/15, g, 2\/7, h.\nAnswer: h, g, 2\/15, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4 + (21\/27 - -3))*(-64)\/(-76) and -109\/950.\nAnswer: 8550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-36)*1*(-8)\/5. Let h = 0 + -3. What is the third smallest value in -4\/5, h, 4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2)*l)\/l)\/l**2*((l**(2\/15)*l)\/l)\/l**(2\/3)*(l**(3\/4)*l\/(l\/l**4))\/(l**1)**(-2\/9) assuming l is positive.\nAnswer: l**(79\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*t**3 - t**4 - 21*t - 792345*t**2 + 792345*t**2 to the form q*t + c + r*t**3 + j*t**4 + w*t**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20)\/(-3) - 2\/3. Let k(f) = 2*f**3 - 7*f**2 - 2*f - 3. Let c be k(v). Suppose 34 = 5*i - 41. Calculate the highest common factor of i and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - c + 8. What is f(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -78 + 90. Suppose -k = r - 15. Find the first derivative of -8 - 21 + 22*g**r + 2*g - 2*g wrt g.\nAnswer: 66*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -80 + 88. Suppose 2*t - 3 = -k, 3*k = -f - 7. Solve 0 = -7*i + t*i + 5*b - 7, 0 = 5*i - 4*b + 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = v + 3*o, -3*v - 2*o + 7 = 2. Let t(u) = 5*u**2 + 2*u + 5. Let k be t(v). Suppose 3*n = -n + k. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 + 136 + (-38 - -111)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -254, -258, -258, -254, -246, -234, -218?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 264 times -517\nAnswer: -136488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -16*w + 11. Let q(v) = -8*v + 6. What is -4*f(m) + 7*q(m)?\nAnswer: 8*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**3 - 11*r**2 - 7*r + 69. Let v(l) = 2*l**3 + 12*l**2 + 6*l - 67. Let a(m) = -7*v(m) - 6*x(m). What is the derivative of a(f) wrt f?\nAnswer: -6*f**2 - 36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -2 + (31 - 27)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p = -10*p - 3. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {b: 3, o: 1, m: 9, u: 2}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventeen sixths of a week?\nAnswer: 476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**3 - 4 - 2 - 17*o**2 - 16*o**2 + 31*o**2 in the form m + x*o**3 + h*o + p*o**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6585751ml?\nAnswer: 0.0006585751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4140.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ml when two letters picked without replacement from llmvm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 1. Let s be t(0). Let m be (-2)\/(2*s*4\/(-12)). List the prime factors of 127 + m\/((-6)\/(-8)).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) 46 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 1:45 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2832*i - 5685*i + 2851*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43 + -63. Let w = t - -110. Solve w = -2*g + 14 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2*t - 2*h - 10, 5*t - 4*h = 3. Let w = 669\/1666 - 24\/49. Let r = w - -55\/238. Which is the second smallest value? (a) t (b) r (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 658827 is divided by 927?\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -1661 (b) 0.1 (c) 5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -9*r**2 - 4*r - 7. Let a(p) = 4*p**2 + 2*p + 3. Let n be 3\/6*(4 - 4)\/(-4). Let z(l) = -l**2 + 7*l + 5. Let x be z(n). Determine x*a(o) + 2*f(o).\nAnswer: 2*o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -132*s**4 + 46*s**4 - 45*s**4 + 122*s - 11*s**4 + (3*s**3 - 3*s**3 - 2*s**3)*(0*s - s + 0*s).\nAnswer: -140*s**4 + 122*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**4\/2 - 9*t**3\/2 + 21*t**2\/2 - 11*t\/2 = 0.\nAnswer: -11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*c**3 + 1 - 2 + 22*c**3 to f*c**3 + p + y*c + j*c**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 2*z - 7, z = 2*i + 5*z - 26. What is the closest to 5 in -4\/3, -1\/6, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0557 + 0.2433. Let u = 3.701 + g. Put -3, 53, -4, u in decreasing order.\nAnswer: 53, u, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i**4 - i**2 + 2*i**4 - 2*i**4 + (-2*i**2 - 10*i**2 + 2*i**2)*(-9*i**2 - 89*i + 89*i) in the form b*i**2 + k*i**3 + x*i + j + c*i**4 and give c.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(210)*4)\/sqrt(10))\/((sqrt(18)\/(sqrt(12)\/sqrt(2)) - sqrt(3)) + sqrt(3) + sqrt(363)*-1).\nAnswer: 2*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*j - 84 = -33*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**2. Let d(l) = -6*l. Let n be 1 - 2 - 2 - -3. Suppose 0 = -4*u - 44 - n. Let p(r) = r. Let v(j) = u*p(j) - 2*d(j). Determine s(v(o)).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 953*p + 953*p + 11*p**4)*(1 - 1 - p + 1).\nAnswer: -11*p**5 + 11*p**4 + 4*p - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/9 + 1312160*g\/9 + 215220483200\/9.\nAnswer: 2*(g + 328040)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggkkkkagg. Give prob of sequence ggk.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) 4 (c) -2\/9 (d) -6 (e) -0.5 (f) -2\/17 (g) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3708118 by -5.\nAnswer: 3708118\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 2*c**3\/3 + 2*c + 7. Let y(s) = -s**3 + s**2 + s + 1. Suppose -5*k + 3 = -2*k. What is k*f(r) - 2*y(r)?\nAnswer: 2*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q**2 + 19\/5*q - 1\/5*q**3 - 6 = 0. Calculate q.\nAnswer: -5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/7)\/((-6)\/14). Let f(z) = -z**2 + 9*z + 134. Let o be f(17). Which is the nearest to l? (a) o (b) 1 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**8*z*z\/(z\/z**(-2\/15))*z**(-2)\/(z*((z\/(z\/z**(-11)))\/z)\/z) assuming z is positive.\nAnswer: z**(298\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1717.35 rounded to the nearest ten?\nAnswer: -1720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.68169ms to nanoseconds.\nAnswer: 21681690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*g*h**6*j - 1073741*g*h**3*j + g*h**2*j - 27*g*j - h*j - 447 wrt h.\nAnswer: 1320*g*h**3*j - 6442446*g*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 197437, 395592, 593747, 791902?\n\"Answer: 198155*d - 718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xk when two letters picked without replacement from xkxx.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from eeeejeieeeeeeeeej.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z - 3. Let d be m(3). Let x = -1 + d. Suppose n = -x*n + 24. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 8*c**2 + 8*c - 1. Suppose 19 = -6*h + 61. Let l be z(h). Solve 0 = -5*p + 7*p + l for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/(r\/r**(3\/2)*r))*r**(1\/3))\/(r\/r**9*r*r*r*r**(-1\/7)*r) assuming r is positive.\nAnswer: r**(251\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -90*m - 49335 + 51945 for m.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -485.6873595 to 1 decimal place.\nAnswer: -485.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 36*z - 234. Let y be g(29). What is the highest common divisor of y and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 1824 = 3*u. Let b be -1 + u\/(-5) + 26\/65. Suppose -23*v + 20*v + b = 0. What is the remainder when 29 is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 117023*0.3\nAnswer: 35106.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 4*u**2 + 6*u + 5. Let f be x(5). Let g be (-3 - -3) + 0 + f. Let z = -15 + 85. Calculate the highest common divisor of z and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*b**2*g**2*x + b**2*g*x**3 + b**2*g + 15*b*g**3*x**3 - g**3 - 2*g*x wrt g?\nAnswer: 8*b**2*x + 90*b*g*x**3 - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-1\/6))\/(k**(-3\/7)*k)*(k\/(k**(9\/5)*k)*k)\/(k**(-8)*k) assuming k is positive.\nAnswer: k**(1567\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate q**3 + 2*q**2 + 1046*q - 51282 wrt q.\nAnswer: 3*q**2 + 4*q + 1046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**3 + p**3 - 8*p**3 + (2*p**2 + 5*p - 5*p)*(-2*p + p - p))*(-4*p**2 + 4 - 4).\nAnswer: 44*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 4 = -c. Suppose -c*u - 24 = -4*u. Let l = u - 12. Let y(m) = m - 9. Give y(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4 + 12379*i**3 - 12381*i**2 - 12379*i + 12380.\nAnswer: (i - 1)**2*(i + 1)*(i + 12380)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -0.2, -3, 2 in descending order.\nAnswer: 2, -0.2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6300.88 and -0.1?\nAnswer: -630.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 476.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1363 - -314?\nAnswer: -1046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -59. What is the least common multiple of ((-108)\/126)\/((-1)\/n) and 14?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-5))\/(5\/(150\/138)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 180, 255, 228, 51, -324, -945, -1860, -3117?\n\"Answer: -8*b**3 - 3*b**2 + 140*b + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - -2043430143?\nAnswer: 2043430204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zbbbbbbzbb?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1852 + -2840?\nAnswer: -4802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 253625321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 7*i**3 + 28*i**2 + 6*i + 8. Let m(n) = n**3 + 5*n**2 + 2*n. Let k(y) = j(y) - 3*m(y). Let p(l) = -l**3 - l**2 - 1. What is -k(d) - 6*p(d)?\nAnswer: 2*d**3 - 7*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(3)*-2)*6 - (sqrt(24)\/sqrt(8) + -1).\nAnswer: 1 + 17*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 9787 * 10\nAnswer: 97870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -m**5 + 18*m**4 - 48*m**3 + 46*m**2 - 15*m = 0.\nAnswer: 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c8 + -6?\nAnswer: -ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73152\/582917 - 57\/463. Let l = 142297\/12590 - y. Let x = -7007\/5 - -1406. Find the common denominator of x and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*n**2 + 0*n**2 - n**2 + 18*n**2 - 2*n**2.\nAnswer: 29*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 516 = -3*h - 6, h + 4*k = -191. Let n = -305\/2 - h. Find the common denominator of n and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 328 a factor of 594658220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1653*m + 512*m + 4720 = -515*m - 508*m for m.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 4*o + 3. Let s = 7 + -3. Let a be x(s). Suppose 0 = a*j - 9, 3*i = 6*i - 3*j - 15. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/5)\/((-18)\/(-60)). Suppose -n*d = 43 - 7. Let i(a) = -2*a - 5. Let c be i(d). Solve -20 = -3*k - 4*x, -4*k + 5 = -2*x - c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 707 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pd when two letters picked without replacement from {d: 7, p: 3, f: 9}.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -154 - -219. Is b less than or equal to 64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -92*g**4 + 268*g**3 - 74377 wrt g.\nAnswer: -368*g**3 + 804*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -338420, -3, 1 in descending order.\nAnswer: 1, -3, -338420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 216 - 657 - 587*o**2 + 229 + 216 as i*o + x*o**2 + j and give x.\nAnswer: -587","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18238657*v - 9119330*v - 9119365*v.\nAnswer: -38*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 4 = -5*u - 4*y, -5*u = 5*y - 30. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/(-35)*-5 + 0\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.177554765 + -0.17754. What is s rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 107*f - 16. Let x(k) = 36*k - 5. Give 2*r(l) - 7*x(l).\nAnswer: -38*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -3 - 1\/3*p**3 + 1\/2*p**2 + 8*p + 1\/4*p**4. Calculate m(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67379, 67380, 67381?\nAnswer: 67382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjj. Give prob of sequence jj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 573 + -389. Suppose 0 = -7*v + 4*v - 3. Let c(a) = 23*a**2 - 2*a - 2. Let u be c(v). Calculate the greatest common factor of u and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3374463247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 + 2 = -5*w + 4*l, -4*l + 36 = -4*w. Calculate the lowest common multiple of 12 and 3\/((-48)\/w)*8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aaauuauauuaaa?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 860 - 872 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 1211 = -5*s, 5*s + 902 = -5*i - 323. Is s\/(15\/(-20)*1) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 1301.091.\nAnswer: 260.2182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37909586 and 3154.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -p**4\/6 - p. Suppose -3*n + 23 = 2*n - 2*f, f + 19 = 4*n. Let b(t) = n*t**2 - t**2 + 9*t - 9*t. Calculate q(b(j)).\nAnswer: -32*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/((-5)\/(-8)) + (-6)\/(-3) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -37*c + 191. Determine w(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 5*k - 15 = 15*v, 4*k = 4. Let z be -1*(-6 - (v - 0)). Let u = 1 - -1. Solve 4*o = -t - 6, u*o + 3*o + 9 = -z*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 2*b - 1. Let s(f) = -6*f**2 - 5*f - 25. Let t(u) = -4*j(u) + s(u). Give t(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 322 = -244*g + 247*g, -5*g = -5*t + 1620. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 - -3 - (-1 + 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2640*c - 4 + 4 + 2535*c.\nAnswer: -105*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3 = 0, 0 = 5*d - b + 2 + 6. Is -1\/185 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 4 - 4)*(-36 + 3*o - 4*o + 12) + 77*o - 77*o - 5*o**2.\nAnswer: -4*o**2 + 24*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqzzzqqqzzzqqqzqwzz. What is prob of picking 4 q?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.259274 nanoseconds to seconds.\nAnswer: 0.000000009259274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 17 = 4*z + 3, 4*r = 0. Let q be z\/1*(-12)\/10. Find the third derivative of -3*p**2 + 0 - p**q + 0 + 2*p**6 wrt p.\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1135, 1435, 1735, 2035?\n\"Answer: 300*m + 835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {o: 1, r: 7}.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 12, j: 1}. What is prob of sequence rrjr?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6546 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 23009329.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -10*f**3 - 5*f**2 - 5*f - 5. Let k(u) = -5*u**3 - 2*u**2 - 2*u - 2. Give -2*b(g) + 5*k(g).\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/8*-2*1)\/(-101*115\/(-34845)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 13 + 15*j**2 + 32*j + 11 - 2*j**3 - 9*j**2 = 0. Calculate j.\nAnswer: -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*g**3 - 2*g**2 + 1444*g - 4*g**3 - 292*g wrt g.\nAnswer: 6*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/21)\/(15\/630))\/((32\/(-56))\/(-1))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 - 3*n - 3. Let c be w(3). Solve -2*s = s + c for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 3*h - 6. Let s = 27 + -16. Suppose -h*b = 2*b - 4*w - 44, s = b + 2*w. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*a + 2*a**2 + 7*a - 15*a as t*a**2 + j + s*a and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 4*m + 6*m + 4884, -m - 14677 = -6*c. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 356223150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -3*q - 11. Let n be -3*(60\/9)\/2. Let d = n - q. Which is bigger: d or -1\/8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-8)*(-18)\/(-9).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111853 = -133*o + 114*o. List the prime factors of o.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 7:28 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -4, -11\/124?\nAnswer: -11\/124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (480\/(-2660))\/(-12)*-19\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + sqrt(931)).\nAnswer: -1 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) 9\/2 (c) 5 (d) -2\/5845 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(8))\/sqrt(4) + -3.\nAnswer: -3 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02719764 rounded to four decimal places?\nAnswer: 0.0272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-1)\/(-4)*6)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 9*n - 283. Let i be t(-22). Solve 0*j + 27 = -i*j + 3*w, 0 = -2*j - 4*w + 6 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1250 - -316?\nAnswer: -631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 84, -878 in increasing order.\nAnswer: -878, -4, 2, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 19. Suppose u*i = 1184468 + 1015532. What is i rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 11:29 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*u**2 + 13*u**2 - 143*u + 143*u + 21*u**2.\nAnswer: 22*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 take away -2.7805?\nAnswer: 2.0805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -86107.702 and 279525.\nAnswer: 193417.298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69 and 76?\nAnswer: 5244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 432.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*k - 38 = -2, 0 = -5*w - 30*k + 29*k - 114 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 567*d - 598*d - 93 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5104670 divided by -94?\nAnswer: -54305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 - 62. Let z be 7\/(s\/(-35730))*(-21 + 20). Round z to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2.3, 2, -3\/4, -2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*o + 10*o = -32 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 28773?\nAnswer: 28773","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-493)\/170)\/29)\/(45\/(-50)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6832661859?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67154 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 65176157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76 and 235734938.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 737 - 730. Let g(x) = -x**3 + 4*x**2 + 6*x - 3. Let p be g(5). What is the second derivative of -8*f**2 - f + p*f - y*f wrt f?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - p - 430 = 14, 2*p = 2*v - 216. Calculate the highest common factor of v and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18089900?\nAnswer: 2, 5, 19, 9521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l + 8, -2*i + 3*l - 12 = -4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -38065 divided by -7613?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2 - 3*n + 4. Let x be t(-4). Let f = 31 + x. What is the greatest common factor of 120 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 12 = 2*r. Let p be (-9)\/r*(-2 - -1). Suppose -p*n = -1431 + 345. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 194880 and 3800160.\nAnswer: 7600320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 186*k - 187*k + 3*s + 17, -4*s - 16 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8358 divided by 7\nAnswer: 1194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -947893\/101 - -9385. Which is greater: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -13*g**2 + 1495*g. Let d(q) = -5*q. Give a(d(s)).\nAnswer: -325*s**2 - 7475*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -102*u**3 - 13*u**2 + 157*u + 162. Calculate b(-1).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/21732 and -137\/54.\nAnswer: 195588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -116.4 + 118. Let a = p + -1.59999751. Round a to seven dps.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 43000 = 4*b + 8*j, -4*j = -4*b + 42984. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 284 - 200. Suppose -8*u + 6*u = -r. List the prime factors of u.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**3 - 5*x**2 + 43*x - 120. Calculate h(3).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 1 (c) -4 (d) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 98699 - 5033654\/51. Let u = 2051\/3 + -675. Find the common denominator of u and q.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266*o**2 - 731*o**2 + 246*o**2 + 298*o**2.\nAnswer: 79*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -171892 + 172008. Let s be 120\/2 + -1 + -1. What is the greatest common factor of o and s?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -276*a**3 - a**2 - a. Let k be l(4). Is 4\/(-30) + k*28\/(-240) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 7*q**2 + 13*q - 35. Let g be d(-9). Which is smaller: 29\/3 or g?\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 368.765 - 369. Let c = w + 0.2349943. What is c rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**3\/4 - 475405871*c**2\/4 + 14125671326903556*c + 14125671445755024 = 0?\nAnswer: -1, 237702936","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 89.44305um?\nAnswer: 89443.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + n + 4. Let z be h(0). Let o(b) = 3*b**3 + 37*b**2 + 43*b - 10. Let u be o(-11). Solve -z*d - 4*a - 12 = -2*d, -u = -4*d - 3*a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115718437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 10:01 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(2\/9)\/n))\/(((n*n**(-9)*n)\/n)\/n) assuming n is positive.\nAnswer: n**(97\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -13*s**8\/336 + 11*s**5\/60 + 8*s**2 - 15. Let d(t) be the second derivative of w(t). Find the third derivative of d(z) wrt z.\nAnswer: -780*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((2\/(-2))\/(-1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*l = -101, -194*k + 2*l - 119 = -197*k. Which is the closest to 0.1? (a) k (b) -0.07 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 406462858 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -142278.5 from -0.098.\nAnswer: 142278.402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6622 is divided by 132.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 - 198*l - 653. What is y(106)?\nAnswer: 831","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000080512388 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 20479*w - 96 = 20487*w, -5*t = -2*w + 44 + 76 for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-18))\/((-996)\/(-162)). Let r = c + 6781\/1992. Calculate the common denominator of -77\/6 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 6*c**2 + 10*c + 13. What is the remainder when 133 is divided by a(7)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -70*x**2 - 13*x + 35. Let v(b) = -14*b**2 - 3*b + 7. Let i(g) = -2*m(g) + 11*v(g). Let h(c) = 13*c**2 + 6*c - 6. Calculate -7*h(t) - 6*i(t).\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 1031*c**2. Let l(g) = 2*g. Calculate f(l(y)).\nAnswer: 4124*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -27511.\nAnswer: 4\/27511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wh when two letters picked without replacement from yjaahjwy?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 574779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*z**3 - 9*z**3 + 19*z**3)*(-4*z - 5*z + 10*z + 1)*(4*z - z - 2*z).\nAnswer: 23*z**5 + 23*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1458) - (sqrt(1458) - sqrt(1458)*-2))\/(sqrt(96)*5).\nAnswer: -9*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108 + 3*m - 108.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1655 + 1543. Is -90 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 14 + 21 = -5*d, 0 = -5*d + z + 15 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.12 - 0.12. Let n = 125733 + -125741. Sort 4, t, n, -1 in ascending order.\nAnswer: n, -1, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 + -54. Let w = b - -36. Let m = w - 13. Is m != -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 405 in 6, 4, 2, 0.032?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, f: 11}. Give prob of picking 2 f and 2 g.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13359081.14 rounded to the nearest 10000?\nAnswer: 13360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 10, 0 = -5*i + 3*h - 0 - 5. Suppose 5*t = 2*j, -t - 4*j - 24 = -i. Let x(v) = -v**3 - 2*v + 1. What is the tens digit of x(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89 - 31 = 20*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-5))**12)**(-2\/7) assuming k is positive.\nAnswer: k**(-144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 162\/(-24) - 24\/(-32)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 1616 - 112 = 0. Is m a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**3 - 2*a + 140*a**2 + 0 - 1 - 156*a**2 to o*a**3 + p*a + n*a**2 + x and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j*j**(-3\/7))*j))\/j**(3\/5)*j\/j**(-3\/5)*(j\/(j**5\/j))\/j assuming j is positive.\nAnswer: j**(-24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 b when four letters picked without replacement from {f: 2, b: 8}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25619 or 25618?\nAnswer: 25619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8368 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: What is 1494864 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/21)*o)**(-2) assuming o is positive.\nAnswer: o**(-46\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v**4 + v**3 - v**2. Let n(b) = 4*b**4 + 34*b**3 + 7*b**2 - 5777. Let h(j) = -7*a(j) - n(j). What is the first derivative of h(l) wrt l?\nAnswer: -100*l**3 - 123*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2376328708 rounded to 5 dps?\nAnswer: -0.23763","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254*a + 4 = 255*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 5) + 3 + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 212777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -3*j + 12, 0 = -16*k + 20*k - 12 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d + 5*l = -6*d, -2*l = -5*d - 4*l - 14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**4 - 88*p**2 + 96*p + 180.\nAnswer: 4*(p - 3)**2*(p + 1)*(p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7912933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**4 - 2*y + 2*y)*(-26*y - 18*y - 5*y + (-7 + 0 - 1)*(0*y + 2*y - y)*(-3 + 0 + 4)).\nAnswer: 114*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/32 - (-1)\/4. Suppose v = -0*u - u. Solve -28 = -2*t - t - 5*r, 5*r - 25 = u for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -318 + 491 - 173 + 247*k**2. Let m(n) = -3*n**2. Determine c(m(w)).\nAnswer: 2223*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 + -2 - 18 - (-7132 + 7131)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*o = 3*p - 2, 3*o - 14 = -p. Suppose 3*d + 5*m - 817 = 1318, -5*m - 2870 = -o*d. Calculate the highest common factor of d and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 at least as big as -196\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 234946056 to the power of 1\/4, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 337580 to the nearest 1000.\nAnswer: 338000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 15 = -4*l. Suppose -178*c + 189*c + 23 - 78 = 0. Solve 2*i + 2*b = 12, -c*b = -2*i + l*i - 18 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t = -40 - 40 - 52 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 273767 by -21059.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrr. What is prob of picking 4 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*s - g - 6, -3*g = 5*s - 35. Solve s*o = -3*p + 18, -2*p = 8*o - 4*o - 16 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -22, 7, 1, -4 in decreasing order.\nAnswer: 8, 7, 1, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (14 + -4)\/(2\/4). Suppose 0*u - 4*u = -k. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 15*z**2 + 17*z + 3. Let p be t(-16). Suppose 11 = 2*n - 13. Let v = n + p. Let w(k) = 2*k - 1. Determine w(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 564 is divided by 95?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 12:12 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (7\/(112\/20))\/((-2)\/(-3176))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -3*b**4\/4 + 7*b**2\/2 + 7*b - 13. Let u(v) = v**3 - 3*v - 3. What is 6*p(r) + 14*u(r)?\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 310 + -10?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 8*k - 8. Let w be i(6). Let j = 15932\/45 - 354. Let s = -4\/9 + j. What is the closest to 0.1 in w, 0.3, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -71\/3 and -24 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -71*g**3 - 4*g**2 - g + 3. Is i(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2)\/p*((p\/p**9*p*p)\/p)\/p)**40*((p*p**0)**(-7))**(-35) assuming p is positive.\nAnswer: p**(-195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 336 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 3:42 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -22 - -19 - 30\/((-4)\/2). Suppose b + x = 14. Factor 1 - 1\/3*l**b + 2\/3*l.\nAnswer: -(l - 3)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.37154ml in litres?\nAnswer: 0.03637154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 6:48 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169274 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -746363*g**3 - 334623*g**2 wrt g.\nAnswer: -4478178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**2 + 4 - 4 - 2*x**2 + 0*x**2 + 4*x**2 + (x - x + 2*x)*(0 - x + 0) + 2*x**2 - 4*x**2 + 0*x**2 + 3*x**2 - 3*x**2 + 2*x**2 - 3*x**2 + 3*x**2 - 3*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 + 0 + -2 - 1. Let p = -0.06 - 0.44. Let n = -718 + 729. Which is the biggest value? (a) p (b) f (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/6)\/(1\/(-2)). Let f = 0.9 + -1.1. Which is the biggest value? (a) 1 (b) i (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/4 - (-337778)\/(-184). Let y = t - -1836. Find l such that 12*l + y*l**2 + 72 = 0.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p + p + 3*p)*(2 - 5 - 2) in the form j*p + s and give j.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 - 16*k**2 - 224*k - 512.\nAnswer: 2*(k - 16)*(k + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1255\/949 < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggcthwthghwgcgttr. What is prob of picking 1 h, 1 t, and 2 g?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -l + d, 11*d = 3*l + 9*d + 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -20 + 14 - (-14 + 0)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 7. Suppose 2*g + 22 = 5*l - 0*g, -p*l + 2*g = -14. Suppose l*w + 2*c = -18, w + c = 6*c - 10. Put 0, 5, w, 3 in descending order.\nAnswer: 5, 3, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76430999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6465653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -146 + 307. What are the prime factors of v?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146854595?\nAnswer: 5, 31, 947449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 377426 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = p - 3*l, 0 = 5*p - 2*l + 3*l - 15. Calculate the remainder when 0 - 2\/3*-3 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.5, -85.\nAnswer: -85, -0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + 3*v**2 - 3*v**2)*(-4 + 6 - 1)*(-3 + 0 + 1).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 205\/(-246) - 682\/(-12). Let z be 56 - c - 0\/(-2). Let x = 2 + 0. Solve q - x + 6 = z for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6362 - -6440. Calculate the remainder when 2102 is divided by g.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 318, 331, 352, 381?\nAnswer: 418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1499 or 1561?\nAnswer: 1561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1836, 15734, 54548, 131082, 258140, 448526, 715044, 1070498?\nAnswer: 1527692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 0 + 1 + sqrt(684))*5 + 4.\nAnswer: -1 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -8 + 7 + -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/4 and -73\/118?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*i - 453 + 453)*(19*i + 1 + 8*i - 3) to b + l*i + o*i**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 2805353400.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34848 and 297.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**2 + 4*d**2 - 5*d**2 - d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 1, -12, -0.06, -1\/4, -0.8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1456 (base 7) to base 10\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + 9\/(3\/1). Let c = 105 + -109. Let r(m) = -m**3 - 3*m**2 + 4*m + 3. Let x be r(c). Solve x = 2*p - i for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4258 is divided by 681.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 + (-5 - (-13)\/((-104)\/72))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 133\/(-42) + 2\/12. Let x = -4 + 4.4. What is the biggest value in -2, x, r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -8\/15839 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 80000 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 138 + -223. Let b = 212 + i. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 11*i - 12. Calculate b(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-603999 - -3)*5\/(-10). Suppose d = -2*p - 358002. Round p to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**3 + 37*z**2 - 75*z**2 + 38*z**2 + 7*z**3.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*v**4*x - 39*v**3*x**3 + 2*v**2 - 87*x**3 wrt v?\nAnswer: -48*v*x - 234*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 477030 + -477029.200062. Let k = y + -0.8. Round k to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4506 less than -4503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0, -37.3, -5, -1\/2691?\nAnswer: -1\/2691","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + u = 6*u + 9, -5*i - 2*u + 3 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-317)\/(-4) + 2\/(-8). Suppose 86 = -4*o - 2*j, o - l = 5*o - 5*j. Let w = 175 - o. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 4*o**3\/3 + 6*o**2 - 3*o - 204. What is the tens digit of j(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77709294 and 1404.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4.7 or -14446?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*w + 282, 2*w - 3*b + 207 = -w. Let h = w + 791\/11. Let o = 173\/12 + -41\/3. What is the biggest value in -0.3, h, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19 times 875?\nAnswer: 166.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.487 - -0.013. Which is the fourth biggest value? (a) 0 (b) 5 (c) -0.2 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7180924, 7180925, 7180926?\nAnswer: 7180927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 829692676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/468 and 127\/4940.\nAnswer: 44460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2148, 4556, 6950, 9324, 11672, 13988?\n\"Answer: -t**3 - t**2 + 2418*t - 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = 12*r - 222. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 x when three letters picked without replacement from {z: 2, x: 4, v: 2, c: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express u + 3*u**3 + 0*u**3 - 3046 - 3*u**3 - 3*u**3 + 3037 - u**2 in the form x + b*u**2 + t*u**3 + r*u and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v\/v**(-2))\/v*v*v*v**(-1\/2))**(4\/15)*(v**(-1\/6)\/v*v)\/v*v**3*v*((v\/v**(-3\/10))\/v)\/(v**(-6)*v*v*v) assuming v is positive.\nAnswer: v**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r - 4 = -15*r - 2*k, 0 = -r - 3*k - 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -627*s**2 + 4378*s - 2187*s - 2188*s + 616*s**2.\nAnswer: -11*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -941*k + 1885*k - 4 - 945*k + 4.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 281.4 rounded to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 607, 1211, 1815?\nAnswer: 2419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(25)\/sqrt(5) + (sqrt(45) - 1*sqrt(45))\/sqrt(9).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t - t**5 + 3*t + (-6*t**2 + 0*t**2 + 4*t**2 - 4 + 2*t**2 + 4 + (-2*t + t + 0*t)*(0*t + 4*t - 5*t))*(-t**3 - 4*t**3 - t**3).\nAnswer: -7*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1386 and 90?\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*o**4 + o**3 - 758*o wrt o?\nAnswer: 144*o**2 + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2475 + -1650. Is o a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -24.348 and 25763?\nAnswer: 25787.348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, c: 8}. Give prob of picking 3 b.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 67 or 155155?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*b**2 + 101*b**2 - 360*b**2.\nAnswer: -355*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10a - 1?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59053.\nAnswer: 59053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2154 + -1292. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25975 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) -0.05 (c) 4\/35 (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 13*d**2 + 6*d + 4. Let c(w) = 13*w**2 + 7*w + 3. Suppose -4*j + 11 = 27. Let g(b) = j*c(b) + 3*a(b). Find the second derivative of g(z) wrt z.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14706913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.13 from -259751.\nAnswer: -259751.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 20. Let n = 21 - 24. What are the prime factors of 4\/(n - x)*-6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/9 and 61\/282.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53162 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 9*i**3 - 223*i**2 - 51*i - 7. What is a(25)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10502 (base 9) to base 4.\nAnswer: -1230320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -134616091 * 0.4.\nAnswer: -53846436.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9112.\nAnswer: 2, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 12*o**3 - 45*o**2 - 243*o - 210 = 0.\nAnswer: -2, -5\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 410619598.\nAnswer: 2, 17, 23, 73, 7193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 16 = -4*g, -g + 159 - 151 = 2*y. Solve g = 9*i - 5*i + 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*i**3 - 5 - 5*i**3 + 2*i**3 as j*i**2 + o*i + r*i**3 + l and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-3 - (-1 + -4)). Calculate the remainder when (-2 - l)*31\/(-2) is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39*3104\nAnswer: 121056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/2 at least as big as 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 573 (base 11) to base 8\nAnswer: 1255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/21 in -418, 0.02, -5, 4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 22*(-1)\/30 + (-6)\/(-15). Let b be 3\/(-5) - (-44)\/(-60). What is the biggest value in 0.3, b, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -17.2. Let s be ((-6)\/(-2))\/(-3)*-1. Let d be 2*s\/14*2. Put 4, v, d in descending order.\nAnswer: 4, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -p**3*y + 2406*p**3 + 2462*p**2*y - 7*y wrt y.\nAnswer: -p**3 + 2462*p**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 463.82357 - 466.0537177. Let w = u + 2.23. Round w to five dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (-1 + -10)) + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5374759 less than 115.4?\nAnswer: -5374643.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1675.1956786 + 0.25?\nAnswer: 1675.4456786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 379\/261 + (34056\/4988)\/66.\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 693?\nAnswer: -2\/231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96.81168cm to nanometers.\nAnswer: 968116800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 3:37 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 - 123 = -16*u. Let f(o) = 2*o - 20. Calculate f(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -l**5\/12 - l**4\/24 - 2*l**2. Let b(g) = 2*g**2 - 2*g + 8. Let v be b(0). Suppose -3 = -v*y - 11. Determine n(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5298 is divided by 183.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2668 and 1624?\nAnswer: 37352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50 + 963*c**6 - 933*c**6 - 65 + c**2 wrt c?\nAnswer: 3600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4 = r, -4*r - d + 29 = -20. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20.57 + -0.43. Let c = -23 - w. What is the second smallest value in -3, c, -2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8\/3 (b) -1\/5 (c) -3 (d) 1\/8 (e) 413\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -569, -1138, -1707, -2276, -2845, -3414?\nAnswer: -3983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + (3 - 1) + (-76 - -43) + 21?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 220279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**11*l)**(-2)*(l**(-5))**(-4) assuming l is positive.\nAnswer: l**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixteenth of a millennium?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-3 + -4 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149155 is divided by 6779.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7, -70, 0, -175, -4 in decreasing order.\nAnswer: 7, 0, -3, -4, -70, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 599 is divided by 36?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2125 + -19127\/9. Let r be (-4)\/(-5) - 0 - 1. Let k be ((-36)\/16)\/(-9)*-4. Put r, o, k in decreasing order.\nAnswer: r, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -3*c**5\/20 - c**4 + 3*c**3\/2 + 6*c**2 - 8. Let r(j) be the second derivative of f(j). Factor r(h).\nAnswer: -3*(h + 3)*(3*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6878064 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -90 divided by -2674\nAnswer: 45\/1337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.047 + -0.133. Let x = s + 0.0793. Round x to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 77832 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2251007 (base 11) in base 7?\nAnswer: 45326126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 16 = -2*k. Suppose -f - g - g = -7, -2*g + k = 0. Let o(w) = -2*w - 1. Determine o(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 3120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1912 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x. Let u(n) = 24*n - 7. Let v(f) = -5*g(f) + u(f). Find the first derivative of v(k) wrt k.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**2 + 237*m - m**3 - 369*m**5 + m**3 + 117*m**5 - 1017*m**5 wrt m.\nAnswer: -76140*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 1:11 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*2*-3*((sqrt(1008) + sqrt(1008)*3)*-5 - sqrt(1008)*-4*2)**2*-6.\nAnswer: 15676416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 585 and 351.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 12*t**3 + 2*t**2 - 12*t + 9. Let a(m) = -2*m + 1. Let z(g) = 6*a(g) - w(g). What is the derivative of z(v) wrt v?\nAnswer: -36*v**2 - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-9\/5)\/d)\/(d\/(d*d**44\/d*d))*(d**(2\/89)*d)**(-8\/3) assuming d is positive.\nAnswer: d**(51362\/1335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 25640, 42512, 59386, 76262?\n\"Answer: g**2 + 16869*g + 8770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3613138174 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.21*3.\nAnswer: 0.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 59091.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1312 (base 7) to base 14.\nAnswer: -279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.03 + -4.97. Let p = 8 - 7. What is the closest to p in 2\/15, -1\/5, r?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*87.9.\nAnswer: 35.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/2260 and 93\/1808?\nAnswer: 9040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**4\/4 - 2*t**3\/3 - 15*t**2 - t + 251. What is l(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 788 a factor of 631180908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5)*r\/r**(-6\/7)*(r**(-2))**15)\/(((r*r**5)\/r*r*r**(-1)*r)\/((r\/r**(-4\/9))\/(r**2*r))) assuming r is positive.\nAnswer: r**(-2564\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 41*l**2 - 3*l + 2. Suppose -5*h + 8 = 3*h. What is the remainder when i(h) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (616\/(-264))\/((28\/240)\/(-1)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2636)\/1977)\/(15\/126*1\/5)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 51670?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/29)*a**(8\/5))\/(((a**(-16)*a)\/a)\/(a*a**(-11))) assuming a is positive.\nAnswer: a**(1107\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -1\/4 (c) 4\/99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1277, 2516, 3743, 4958, 6161, 7352, 8531?\n\"Answer: -6*j**2 + 1257*j + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*y**4 + 17*y**3 + 6*y**2.\nAnswer: y**2*(y + 2)*(7*y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two ninths of a day?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u - 12. Let y be v(17). Suppose -6*j + y*j = 6. Let k(p) = p + 11. Let m be k(j). Is m at most as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1737669027 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.4 + -14.4. Let k = -12.9 - p. Which is the nearest to 1? (a) k (b) -2\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/392 and -51\/13664.\nAnswer: 95648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*k + 8. Suppose -4*o - k*h = -7*h - 139, 5*o + 3*h - 183 = 0. Suppose 0 = -z + 5*z - o. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 449568183.\nAnswer: 3, 929, 161309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 10:28 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2143, 5204, 10307, 17452, 26639?\n\"Answer: 1021*u**2 - 2*u + 1124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101002 (base 5) to base 4.\nAnswer: -302310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-13162)\/(-4))\/((-33)\/(-11352)). Suppose 1343864 = 2*s - 0*s. Let c = s - o. Round c to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3 - 7. Suppose 0 = -3*v + 4*u + 347 + 258, -4*v = -b*u - 806. Suppose x = -3*f + 64, 3*x - 2*f - v = -4*f. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 4:57 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.3 + -9.7. Let k = x + 12.4. Which is the closest to 1\/5? (a) -1\/6 (b) 1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7 - 34 + 44 - 296*u**2 + 1662*u**3 wrt u.\nAnswer: 9972","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-711*x + 508*x - 2350*x)*(2 + 3*x**3 - 2) to the form n*x**2 + r*x + o*x**4 + d + g*x**3 and give o.\nAnswer: -7659","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a decade in years?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-50)*(-5)\/(-2). Let o(i) be the first derivative of 2 - a*i**2 + 0*i - 1\/3*i**3. What is the second derivative of o(h) wrt h?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12020111 + 100011200202?\nAnswer: 100100221020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 2*g + 4. Let d = -19 - -15. Calculate s(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2270601, 9082267, 20435043, 36328929, 56763925, 81740031?\nAnswer: 111257247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-4)*n*n**(2\/15)*n*n*n*n*n)**35\/((n*n**(-2\/3)*n)**(23\/2))**(22\/3) assuming n is positive.\nAnswer: n**(2495\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -472590 divided by -94518\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0)*(31 + 59*m - 31 + (2 + m - 2)*(-3 + 5 - 5)) + 2*m - 3*m - m + (0 - 1 + 0)*(0 + 0 + m) + m - 4*m + 2*m - 2*m + 0*m + 4*m + 3*m + m - 3*m.\nAnswer: -57*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*77\/264*10\/(-7).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1174, 2088, 3002?\nAnswer: 3916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 + 2*g + 1. Suppose 2*t = 13 + 15. What is the remainder when a(-5) is divided by t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -9*y**2. Suppose -3*g - 30 = -6*g + 4*c, 5*g - 85 = -5*c. Let p(x) = 13 - x**2 - g + 1. Give d(p(u)).\nAnswer: -9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11.23 + 14.23. Let u = -1.5 + 1.6. What is the closest to u in 4, d, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -a**7\/2100 - a**6\/225 - a**5\/300 + a**4\/10 + 11*a**3\/6 - 28*a**2. Let q(f) be the first derivative of p(f). Factor q(s).\nAnswer: -2*(s - 1)*(s + 2)*(s + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 6*l**2 + 8. Let p be n(6). Let f = 48 + -42. Let g = p + f. Solve -3*v + 4*d = 12, v = 5*d - g - 1 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 0.3115?\nAnswer: -0.8115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**4\/5 + 31800*m**3 - 794829*m**2\/5 - 5087412*m\/5 - 1144692 = 0 for m.\nAnswer: -2, 9, 52995","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 2. Let u(q) = -18*q**2 - 42. Suppose -32 + 16 = -4*t. Let s(z) = t*u(z) + 84*f(z). Let a(v) = -3*v. Give a(s(x)).\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 48536460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 203386 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4 - 30*m**3 - m**2 + 30*m.\nAnswer: m*(m - 30)*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 70078769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 2*a + 3. Let w be o(2). Let c = 5 - 4. Let s = c - w. Is 5 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012298 to six dps.\nAnswer: -0.000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*c = -0*o - 93, -c - 139 = -5*o. Suppose 5*f - 41 = -0*t - 4*t, 0 = -3*t - 5*f + o. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1812849 + -14341363.\nAnswer: -12528514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is d109b (base 15) in base 8?\nAnswer: 2414216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/199 - -393\/995. Let y = 19.28 - 19.2. Which is the second biggest value? (a) k (b) 1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 43 + 201?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 326962 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kek when three letters picked without replacement from ekkkekk.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**4 + w**3 + w**2 - w + 1. Let p(l) = 27*l**4 - 96*l**3 + 102*l**2 - 18*l - 6. Let o(m) = 6*c(m) + p(m). Factor o(i).\nAnswer: 3*i*(i - 2)**2*(7*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -5*w - 25, -16*g + 20*g + 3*w + 32 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 54250547 (base 8) to base 15\nAnswer: 1048291","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1315990 is divided by 164377?\nAnswer: 974","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 820115.8g to micrograms.\nAnswer: 820115800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mqfq when four letters picked without replacement from {m: 2, q: 1, y: 1, f: 1, h: 2, r: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**4 - 172*j**3 + 8321*j**2 - 97298*j - 105792 = 0.\nAnswer: -1, 19, 58, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -83 - -117. Let k = h - 32. What is the greatest common factor of k and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1660004*j**4 + 2*j**3 - 13*j**2 + 5*j - 48375 wrt j.\nAnswer: -39840096*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t - 2*d = 11*t - 5120008, -t = 5*d + 1279980. What is t rounded to the nearest ten thousand?\nAnswer: -1280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127 = -86*p - 471 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-20)*(-12)\/9. Let r = 81 - 121. Let i = -35 - r. What is the closest to k in -4, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21631400 rounded to the nearest 1000000?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 8*z + 8. Let f be j(-7). Let w be 72\/f + (-1)\/(-5). Let m = -5 + 5.4. Which is the smallest value? (a) w (b) -1\/2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3868 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 g = 832 + -836. Calculate the common denominator of -103\/160 and 1\/(g + 1152\/318).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2166.8 + 2153.791. Round z to 1 decimal place.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.749 take away -0.455?\nAnswer: -0.294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 4*t + 36 = 0, 4*p + 3*t - 6 = 24 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 + -78 + -2 - 33?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1568) + 1 + sqrt(1568) + sqrt(1568))**2 - ((-1 + sqrt(2) + sqrt(2))*-4 + -5)**2.\nAnswer: 152*sqrt(2) + 13984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -10*w**3 - 5*w**2 + 5. Let u(o) = -o**2 + 12*o - 14. Let z be u(10). Let v(t) = 11*t**3 + 6*t**2 - 6. Calculate z*m(f) + 5*v(f).\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.4 in 1\/8, -0.09, 76\/3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 5:23 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293 is divided by 159.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/8*-2*17 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/8*(-4)\/(-3). Suppose c = -t*c + 20. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*d - 48*d - 124. Put d, -4\/5, 0.11 in descending order.\nAnswer: 0.11, -4\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -377 + 452 = -t + 26*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnfnncfcnccccn. Give prob of sequence cfn.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 3*i**2 + 4*i + 5. Suppose -8*f + 54 = -5*f. Suppose 3*u = 6 - f. List the prime factors of w(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/46 and 43\/129142?\nAnswer: 2970266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -179\/460 - 1\/92. Which is the third smallest value? (a) k (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107229650 rounded to the nearest 1000000?\nAnswer: 107000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8093562694?\nAnswer: 2, 7, 193, 2995397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by 39.\nAnswer: -34\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 2*o**2 + o + 1. Let z be f(2). Let l be 3*(-2 + 8\/z). What is the units digit of 94\/12 + l\/12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12183 is divided by 39?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + (17 - 8) - 11) + 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.3 and -0.2077188.\nAnswer: 0.27003444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of r**4\/4 + 5*r**3\/3 + 4*r - 94. Calculate f(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 2*g + 10 = 0. Suppose -g*s - d = -0*d - 269, -4*s + 200 = -3*d. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 times 0.0647\nAnswer: 0.005823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, b: 1, h: 4}. What is prob of sequence hhb?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 2*i + 18, 2*z - z - 9 = -i. Let h = 27 - z. Calculate the greatest common divisor of 14 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 9 - 2 = -4*o, 2*o - 33 = -5*g. Suppose -3*f = 7 + 8. What is the closest to 0.1 in g, -0.1, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 3. Let j = w + 1. Is j >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f + 65 = 77 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 112821209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 13660.\nAnswer: 13660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -5, -4, -2, -1, -22 in ascending order.\nAnswer: -22, -18, -5, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30544 + 28196 = 31*m - 62842. Is 53 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10638 and 184.\nAnswer: 978696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 169376852 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1439 + 939. Let q = k - -286. Let a = q - -2352\/11. Sort -3, 1\/5, a in descending order.\nAnswer: 1\/5, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**3 + 89*h - 89*h + (-2 - 1 + 2)*(-2*h**3 - 2*h**3 + 6*h**3) + 3 - 2*h**3 - 3 + 39*h**3 - 5*h**2 + 5*h**2.\nAnswer: 39*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q + 0*q**2 + 3*q**2 - 2*q**2. Let v = 31 - 15. Suppose -d - 27 = -v. Let p(n) = -2*n**2 + 11*n. What is d*l(t) - 4*p(t)?\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -h**6\/15 + 3*h**5\/10 - h**4\/6 - h**3 + 2*h**2 - 16*h. Factor c(v).\nAnswer: -2*(v - 2)*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccn when three letters picked without replacement from {c: 2, j: 6, n: 8, r: 3}?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 8, h: 1, a: 1, v: 2, c: 3, o: 3}. Give prob of picking 1 m and 1 a.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 314914*n**3 - 317821*n**3 + 5089*n - 974*n - n**2 - 2*n**2 + n**2 wrt n.\nAnswer: -17442*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, e: 1, f: 1, r: 1, t: 1}. What is prob of sequence rt?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 324 or -141.9?\nAnswer: 324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + 11 + -28 - 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x + 8. Let l be ((-117)\/65)\/(1\/5). Let q(h) = 2*h**3 + 17*h**2 - 2*h + 57. Let m be q(l). Determine g(m).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-172)\/170 + 1)\/(516\/1462 - 220\/(-340))\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 0*v = 3*w + 45, -2*w - 2*v = 30. Let a = -15 - w. Let p be (a\/2)\/(3\/(-3)). Solve 3*n - c + 15 = p, 10 = -n - 0*c + 2*c for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -1044*w**2 - 3*w - 313. Let k(b) = -1043*b**2 - 2*b - 316. Let x(y) = 3*k(y) - 2*t(y). Differentiate x(n) wrt n.\nAnswer: -2082*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 246 + -246. Which is greater: 20\/43 or v?\nAnswer: 20\/43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -34339.8 and -0.5.\nAnswer: -34340.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 101163*l**3*v - 816*l*v + 12*l wrt l?\nAnswer: 606978*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 + 0.4. Let p = o - 0. What is the second biggest value in 0.3, p, -8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -47*p + 53. Let u be v(4). What are the prime factors of u\/(-81) + 4045\/3?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 1 + 3 = 0. What are the prime factors of (-12)\/(b + (-15)\/6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1081980 + 409280. Round r to the nearest ten thousand.\nAnswer: -670000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (24\/(-72))\/((-7)\/57) and (279\/(-10))\/((1008\/(-30))\/8).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90813792 divided by 2\nAnswer: 45406896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2068 divided by -1\nAnswer: 2068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.394152 and -0.1.\nAnswer: -0.1394152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 10:55 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**5 - 3*i**4 + 3*i**4 + (-5 + 5 + 4*i)*(2*i**4 + 79*i**4 - 12*i**4) - 3*i + i**5 + 3*i.\nAnswer: 276*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 116946769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)*1*-3 - sqrt(70)) + sqrt(70))\/(sqrt(90)*-3 + sqrt(10)).\nAnswer: 3*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*a - 8 = 31*a. Suppose 26 = a*p - 2*d, -d + 1 = -0*d. Suppose 22*r = 29*r + p. Round r to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.13 - 0.07. Let y = 130 - 129.6. Suppose -2*i - 8 = -0. Sort n, i, y in decreasing order.\nAnswer: y, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10157.482 + 10153. What is u rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5343*k - 1418*k - 4256*k - 991*k.\nAnswer: -12008*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1008*r = 3*a + 1006*r - 32, 4*a = -3*r + 37 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16251 + -16256. Which is the biggest value? (a) -4 (b) q (c) 1.5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11150785 is divided by 58077.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3485 - 3483. Let l(a) be the third derivative of -3*a**n + 0*a - 7\/2*a**3 + 0*a**5 + 0*a**4 + 0 - 1\/8*a**6. Differentiate l(x) with respect to x.\nAnswer: -45*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -392.006 - -392. Let d = -95.043 - -95. Let t = l - d. What is t rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*l + 49 = -14*l + 169. Solve -l = -c - 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1978 - 1718 = -11*m. Is m a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 + 2 - 2)*(37 + 79 + 49 - 29).\nAnswer: -136*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 2*o - 9. Let d be v(0). Let f be (d\/(-2))\/(12\/16). Find the first derivative of 7 + 7*t**2 + 8 - 31 + f*t**2 wrt t.\nAnswer: 26*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64800 divided by 288\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-12))**29 assuming w is positive.\nAnswer: w**(-348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 24 = -7*x. Calculate the remainder when x is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1690085578?\nAnswer: 2, 845042789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -59*i*q*r**3*t**3 - 2*i*q*t**3 + 14*i*r**3*t - 4*i*r**3 + 3*i*r*t**3 wrt q?\nAnswer: -59*i*r**3*t**3 - 2*i*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*l - 11754 = -3*b, l - 2*b = 3903. Suppose 10*o - l = 3*o. Calculate the remainder when o is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 6:18 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 989*y - 3*y**2 - 5*y**2 - 983*y as n*y**2 + r + c*y and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 357 and 9?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 991836*o**2 - 5*o + 5. Let f be y(-7). Let d = -47 - -137. Let b be f\/(-18) + 20\/d. Round b to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4.06 (b) -4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 1484*d**2. Let f(u) = -2*u. Determine x(f(c)).\nAnswer: 5936*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218210 is divided by 3537?\nAnswer: 2453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 97*a - 82*a - 585. Calculate the highest common factor of 13 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 5*v**2 - 2*v + 6. What is the units digit of u(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -5\/2*m**2 + 0 - 34*m - 1\/10*m**5 + 1\/6*m**3 - 1\/6*m**6 + 1\/42*m**7 + 5\/6*m**4. Factor x(z).\nAnswer: (z - 5)*(z - 1)**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 449*y**6 - 3*y**4 - 3*y**2 - 7823?\nAnswer: 53880*y**3 - 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + sqrt(133) + (sqrt(133) - -4*(2*sqrt(133) - sqrt(133))))\/(6*sqrt(14)\/sqrt(2)))**2 - (-2 + (0 + sqrt(304) + -1)*2).\nAnswer: -8*sqrt(19) + 1075\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/4 (b) -2 (c) 0.03 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**4 + 2*u**4 + 2*u**4)*(4*u - 3*u + 5*u) - 2*u**5 + 0*u**5 + u**5.\nAnswer: 17*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5 = -7*i. Let c(k) = -124*k**3 - k**2 + k + 1. Let p be c(i). Suppose -p = -3*v - 3. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2886*3\nAnswer: 8658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 3*d + 46, -44 = -5*l - 0*d - 2*d. Factor -l*a**2 - 228*a + 228*a - 4*a**3.\nAnswer: -4*a**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9821)\/2135*(-10)\/(-6)*9?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*m = -300, 4*f + 3*m - 557 = 71. What is the highest common divisor of 294 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -76579\/7530 + 4\/1255. Suppose -20*d - 112 = -27*d. Find the common denominator of h and (-57)\/d*56\/42.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 869682779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((1 - -15) + -19)*(-3495)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of s**4\/3 + 8*s**3\/3 + 6*s**2 + 3*s. Let q(c) = 0. What is c?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -70*i + 34*i + 30*i. Let p(b) be the third derivative of 0*b + 0*b**3 + 0 + b**2 - 1\/8*b**4. Determine c(p(a)).\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 159115 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 10*y + 576 = -41*y for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1935 and 4135869.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*y + y + 3*y)*(1 - 3 + 4)*(2 - 13 + 4)*(1 - 2 + 4) to v*y + n and give v.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(-5*n + 5*n + 2*n)*((-3 + 0 + 1)*(3 - 5 + 1) + 3 - 4 + 2 + 0 + 0 - 1 - 3 + 2 - 7).\nAnswer: -24*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 116741471299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -54, -84, -142, -234, -366, -544, -774?\n\"Answer: -u**3 - 8*u**2 + u - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -10. Suppose 4*n - 46 = r*w, 4 = n - 3*w - 3. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - ((sqrt(5) - (sqrt(5) + sqrt(5)*-2))**2 + sqrt(5)) - sqrt(5))*6 - (sqrt(5) + 3 + (sqrt(5) + 0 - sqrt(5))))*1.\nAnswer: -123 - 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 24938373.6 minutes?\nAnswer: 2474.045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -436 - -267. Suppose 0*n - 2*n - 170 = 0. Let g = n - l. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 8:39 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 8:50 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 5*a + 10*b - 12*b + 8, -14 = 4*a + 3*b - 2*b for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.127626km to meters.\nAnswer: 1127.626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 10) to base 14\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**2 - 5 + 0*i**2 - 52*i + 0 - 7. Let g be o(-17). Solve 2*x - 10 = -2*q, 5*q - 3*x - g = 4 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69084049 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -91.26 + 1.26. Let i = -90.0051 - z. Round i to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*v - 18 = 3*i, -3*v = -479*i + 484*i + 30 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/4 - (-31)\/(-62))*-2. Sort -43, m, -10, 1.\nAnswer: -43, -10, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d + 2*y + 26, -7*d - 8 + 70 = 2*y for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 4*z + 5*z + (z + z - z)*(-2 + 7 - 4) + 3*z - 3 + 3 - 3*z + 0*z + z)*(4*z - 2*z + 5*z).\nAnswer: 21*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 548 - 548 + 35*u - 35*u - 9*u**3 + 25*u**3.\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*x + 2*s - 91 = 0, -5*x + 101 = -3*s. Let h = -3 - -8. Let b = 0 + h. What is the remainder when x is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 612443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 7866 = -0*o. Let b = 1841 - o. Suppose -6*k = -1216 - b. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 2:45 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56 + 55.8. What is the closest to 1\/14 in -3, r, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1412 a factor of 3659833847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 c, and 1 x when four letters picked without replacement from ssxccccsx.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 8*x**3 + 352*x**2 - 2*x - 107. Calculate k(-44).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 103627, 206968, 309993, 412702, 515095, 617172?\n\"Answer: -158*q**2 + 103815*q - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 3*z - 2 = 3, 6 = -3*d - 4*z for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30417 and 4?\nAnswer: -121668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + k**2 + k + 1. Let h(n) = 7*n**3 - 12*n**2 - 5*n - 1. Let u be 0 - (4 + 2\/1). Let x(w) = u*t(w) - h(w). What is x(6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -108*u - 39. Let x be q(-3). Let g = -1147\/4 + x. Which is bigger: -2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12753 is divided by 133.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*g + 33 = 3*l, 0 = -2*l + g + 41. Let m = l - 11. Is m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -190248425, -190248423, -190248421, -190248419, -190248417, -190248415?\nAnswer: -190248413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*w**2 + 6*w - 6*w + (14 + 6 + 4)*(-4*w**2 + 0*w**2 - 3*w**2) in the form p*w + t + n*w**2 and give n.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h*q**3*t**2 - 57840686*h*q**3 - 422*h*q**2*t**2 - 370*h*t**2 - 4*q*t**2 - 4*t**2 wrt q.\nAnswer: -12*h*t**2 - 347044116*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 725700799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -42451 and -42455 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 - (104 - (91 - 29)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3073 divided by 253?\nAnswer: -3073\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l - 15 = 1. Let o be (l\/9 - 329\/(-63)) + 3. Suppose 0 = -x + o*x - 14. Solve -3*m + x*m = 3, 4*h + 5*m - 1 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36335325 to the power of 1\/2, to the nearest integer?\nAnswer: 6028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 c, and 2 d when four letters picked without replacement from bccddcd?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 44*v**2 - 13*v + 566. Give m(44).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8307, -8321, -8361, -8439, -8567, -8757, -9021?\nAnswer: -9371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*y - 67 - 43 = 55. Solve 4*v - 183 + 176 = -5*u, y*v = 2*u - 16 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*m - 260*m + 20*m.\nAnswer: -347*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 33*o**2 + 21. Let d(i) = -8*i**2 - 5. Let r(v) = 21*d(v) + 5*p(v). Let n(z) = -2*z**2 + 81 - 39 - 42. Calculate n(r(a)).\nAnswer: -18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w**(-3)\/w)\/w*w)**(-14)\/(w**(-1\/12)\/((((w\/(w\/w**0*w)*w*w)\/w)\/w)\/w)) assuming w is positive.\nAnswer: w**(481\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-1))\/(x*x**(2\/21)*x))**(-2\/71)*x**(-2\/3)*x\/(x*x**(1\/3)*x*x*x)*x**1\/(x\/(x\/x**(1\/2))) assuming x is positive.\nAnswer: x**(-10261\/2982)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -20 + 0*n**3 + 4*n**2 + 13 + 12*n**3. What are the prime factors of t(3)?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -120455?\nAnswer: -120461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2601984 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 2 - 4. What is the tens digit of b\/(-7) - 6320\/(-140)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -1920*u - 927099. What is c(-483)?\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 7532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 346 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2120833 + 2?\nAnswer: -2120831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 10:46 AM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 207898941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 32290160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -514 (base 16) to base 5\nAnswer: -20200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2002538 plus -0.1?\nAnswer: 2002537.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5204720 and 780708?\nAnswer: 15614160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**8\/336 + o**5\/60 - 3*o**2\/2 + 2. Let n(p) be the second derivative of z(p). What is the third derivative of n(l) wrt l?\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ant when three letters picked without replacement from {a: 1, e: 2, i: 3, t: 1, n: 3}.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*v - 16*v = -v - 25520. Calculate the least common multiple of 24 and v.\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1844287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n - 2*j + 18, 681896*n + 5*j = 681894*n + 33 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 1 = -5*b - 15, 4*c - 28 = 3*b. Suppose 5*g = r + 2, -r = c*g - 7*g. Is ((-6)\/(-9) - r)*-33 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 198 and 374.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21343.\nAnswer: 7, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 0.0677490069.\nAnswer: -1.0677490069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.98 - -0.02. Let w = d - 4. Let y = -421 + 2949\/7. Sort w, y, -1 in decreasing order.\nAnswer: y, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1391, -1346, -1301, -1256, -1211?\n\"Answer: 45*r - 1436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 25442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2046, 8172, 18380, 32670, 51042, 73496, 100032?\nAnswer: 130650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -216.259, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 21*v**2 - 23*v + 16. Let n be t(22). Let r(a) = -a**2 - a - 6. Let b(k) = 3*k**2 + 3*k + 17. Give n*b(c) - 17*r(c).\nAnswer: -c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-2\/3)*m)**(4\/17))**(-1\/6)*((m*m*m**(4\/3)*m)\/m*m**(-4)*m)\/(m**(2\/15)\/(m*m\/m**(-2\/19))) assuming m is positive.\nAnswer: m**(32747\/14535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 (base 9) in base 8?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -335*z + 6716 + 1755 - 531 + 2445 = 0 for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and (35\/(-21))\/(1\/(-6)).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 2, l: 7, o: 6, n: 1, c: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*z + 3 = 0. Suppose q + z - 6 = 0. Calculate the least common multiple of 10 and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 63*n**4 + 61*n**4 - n**3 - 3*n - 6 + 2*n**3 as s*n**3 + i*n + p + m*n**2 + v*n**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -119.4 + 119. Which is the closest to 2\/5? (a) q (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 11. Let u(r) = -r + 1. Let c(x) = h(x) - 11*u(x). Let t(z) = 24*z - 35. Let l be t(6). Let w(s) = 55*s**2 - l*s**2 + 56*s**2. What is c(w(o))?\nAnswer: 22*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 3*z - 10 = 4*k, 2*z - 24 = 5*k. Suppose v - z = 2. Suppose 38 = v*i + 3*m, -3*m + 5*m = -4. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11212 + 11347. Calculate the highest common factor of 85 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l - l**4 + 0*l + (2 - 4 + 1)*(200*l**4 - 24*l**4 + 31*l - 29*l + 3*l**2).\nAnswer: -177*l**4 - 3*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191*z**2 + 26 - 32 - 187*z**2.\nAnswer: 4*z**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9338*n + 9365*n = 23004. Calculate the remainder when n is divided by 172.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - j = -20. Suppose -8 = 2*w - 2*i - i, -4*w + 24 = j*i. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5193374425 to the power of 1\/4, to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**6\/12 - 9*s**5\/2 - 483*s**4\/8 + 529*s**3\/6 + 5760. Find b, given that p(b) = 0.\nAnswer: -23, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -283*a**3 - a**2 - 17*a**4 - 18*a**4 + 282*a**3 in the form s + w*a**4 + h*a + c*a**3 + j*a**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 36643732, 36643736, 36643738, 36643738?\n\"Answer: -w**2 + 7*w + 36643726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**6\/360 + b**5\/20 + b**4\/8 + 25*b**3\/2 - 43*b. Let z(h) be the second derivative of c(h). Give z(-8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/(60\/35) - -24158 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 962 divided by 301?\nAnswer: 962\/301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -323 - 73. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42.072 + 136.2063599\nAnswer: 94.1343599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1084125 and 1187375?\nAnswer: 24934875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 236 = -a. Let w = -38 + a. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4893924 to the power of 1\/2, to the nearest integer?\nAnswer: 2212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -470298, -940682, -1411064, -1881444, -2351822, -2822198, -3292572?\nAnswer: -3762944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1654*q + 37120 = -174592. Let w(t) = -t**3 - 7*t**2 - 8*t + 3. What is the remainder when q is divided by w(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53050 and 135.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2549291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 26*b**2 + 20*b**2 + 1233*b + 252*b**2 + 317*b**2 + 617 - b**3 = 0. What is b?\nAnswer: -1, 617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2700586, -2700592, -2700598, -2700604, -2700610, -2700616?\n\"Answer: -6*a - 2700580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352621302?\nAnswer: 2, 3, 11, 5342747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-3) - 1 - 0. Let s be (-9)\/(-2) + m\/2. Suppose 0 = s*j - 5. Solve 4 = -c + j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70.5 - 70.7. Sort 1\/4, 0.07, -0.7, n in increasing order.\nAnswer: -0.7, n, 0.07, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/5 (b) 1\/7 (c) -5 (d) 4 (e) -45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 494676 a multiple of 334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 86\/18 + (-10)\/(-45). Let g = 0.3 + 0. Sort g, j, 0.4.\nAnswer: g, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -41878548 or -41878551?\nAnswer: -41878548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 0*q**5 + 0*q**4 - 2\/3*q**6 - 5 + 0*q**2 - 5*q**3 + 0*q. What is the third derivative of h(z) wrt z?\nAnswer: -240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 772833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -2*q + 10, -4*f + 5*q - 30 + 5 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -4 + -1 - 13\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 30 - 10. Suppose m = -4*f + 18, -s*m + 3*m + 51 = 3*f. Calculate the highest common divisor of 15 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 16 = 6, l = 4*r - 50. Suppose 19*w = 11*w. Suppose 3*o + 5*o - 40 = w. Solve 0 = 3*s - r, 9*i - 4*i = o*s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -13\/19, -3, 0.2, -1400?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174, 177, 180, 183, 186, 189?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001000110100 - -111110110?\nAnswer: 10010000101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/64 and 79\/1008.\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1920*b**2 - 743*b - 769*b + 1512*b + 1876*b**2.\nAnswer: -44*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19065, -19527, -19999, -20481?\nAnswer: -20973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181777*z = -181788*z - 352. Let g = -0.2 - -0.3. Suppose 0 = -2*d - d. Put g, 0.5, z, d in ascending order.\nAnswer: z, d, g, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*g - 62*g = 10. Let w be (6 + -1)*(g + 208\/20). Solve 2*j = -w - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9, -1, -1\/5 in ascending order.\nAnswer: -5, -1, -1\/5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**10\/(x*((x*x**2*x)\/x*x)\/x*x)*(x*((x*x**(-1)*x)\/x)\/x)**(-9))**(4\/17) assuming x is positive.\nAnswer: x**(20\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 494 - 115. Calculate the highest common factor of 21 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lyv when three letters picked without replacement from yyvylveyve.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 - 26. Suppose -s*v - 2*o = -3*o - 125, -5*v + 154 = o. What is the greatest common divisor of v and 341?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 528, 561, 654, 837, 1140, 1593?\n\"Answer: 5*m**3 - 2*m + 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222*r - 274*r - 139*r - 291*r.\nAnswer: -482*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3*sqrt(700) + (sqrt(112) + -1*(sqrt(112) + -1) - sqrt(112)).\nAnswer: -34*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 31 + (10 - (-21 + 42))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 121098, 121107, 121130, 121173, 121242, 121343, 121482, 121665?\n\"Answer: g**3 + g**2 - g + 121097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4082, 4070, 4058, 4046?\nAnswer: 4034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9356 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92514 and 2788?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 348*k + 73. Is f(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -56.61491 and 1.\nAnswer: -56.61491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/774831 and 25\/24.\nAnswer: 6198648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -389 * -0.395\nAnswer: 153.655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 695*n + n**2 - 2 - 686*n + 0*n**2 to y + w*n**2 + a*n and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56\/7)\/(-96)*(3 + -1).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*z**4 - 5*z**3 - 7*z**2 - 15079 wrt z.\nAnswer: -28*z**3 - 15*z**2 - 14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62818682.\nAnswer: 2, 31409341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 11:14 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 278604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0*l = 36. Let g be -2 - ((-10)\/2 + 1). Suppose -3*u + 3*v = -6, 0*u + 1 = -u + g*v. Solve 3*m = 4*n - 3, u*n + m - l = 3*m for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 + 10 + 27)\/(1\/(-3)). Let v(b) = -62*b**3 - b. Let t be v(1). Let s = t - o. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -339 - -352. What is the highest common factor of 169 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 = 85*t + 344*t - 16444 - 10675 for t.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + (-1 - (-1 + -2)). Solve 0*m = -f*m + 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4248962 to the power of 1\/2, to the nearest integer?\nAnswer: 2061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*a - a + 209*a**3 - 209*a**3 - 27*a**4 wrt a?\nAnswer: -324*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9507007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 73.1 - 73. Which is the closest to h? (a) 7 (b) -1 (c) -5 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 252 divide 5755428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 19277 + -19281 - (0 + -9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47 - 0. Let m = 48 + x. Let n = m - 3. Does -3\/4 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**4*n**2 + 306*b**3*n**2 + 1888*b*n**2 - 2*b*n wrt b?\nAnswer: 36*b**2*n**2 + 1836*b*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18188 + 15221. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**2 - 11*y**2 + 65*y**2 + 0*y**2 + 3*y**2 - y**2 - 3*y**2 + 2*y**2 + 2*y**2 + 2*y**2 + 4*y**2 - 5*y**2 + (y + y - y)*(2*y - 2*y - y) + y - y - 2*y**2.\nAnswer: 59*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 1 = 7. What is the remainder when 5 is divided by 9\/c*(-8)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -15 (b) -186 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 70*y - 206 + 206 as h + f*y and give f.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2 = w + 1, 13 = 5*w - u. Suppose -w*q + 0*l = -3*l, 0 = -2*q + l + 1. Let v be (-2 + 3 - -2) + -1. Sort v, q, -2 in increasing order.\nAnswer: -2, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22.456 + 0.056. Let m = s - -22. Which is the biggest value? (a) 3 (b) -5 (c) -1 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 854*h - 5123. What is j(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 300217*q - 39720. Let m(w) = -340*w + 45. Let y(p) = -2648*m(p) - 3*v(p). Let i(z) = 3 - 6 + 3 + 2*z. Calculate i(y(r)).\nAnswer: -662*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*-5*-4*(sqrt(2448) + sqrt(2448)*1*-6 + (sqrt(2448) + 0)*-3))**2.\nAnswer: -752025600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17346.\nAnswer: 2, 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1391631?\nAnswer: 3, 307, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 + 36. Suppose 0 = a + w + 63. Let l = 119 + a. Does 17 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3020333 and 2?\nAnswer: -6040666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -197698 and 0?\nAnswer: 197698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 10*r + 16. Determine a(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -5*u**8\/24 + u**5\/60 + u**4\/6 + 3*u**2 - 19. Find the third derivative of o(s) wrt s.\nAnswer: -4200*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 34*s**2 - 10*s + 131. Is f(15) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 12 - 3 = 0. Let w be 2\/t + (-44)\/(-12). Suppose 4*c = 3*d + 10, -5*c + 9*d = 12*d - 26. Solve -5*y + w*y = 2*n - 2, -y = -2*n - c for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*a**4\/4 + 83*a**3\/4 - 5*a**2 - 17*a - 4 = 0.\nAnswer: -4, -2\/3, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r - 9. Let u be n(-13). Let c(z) = z**3 - 2*z**3 + 0*z**2 + u*z**2. What is the lowest common multiple of c(3) and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325314022 (base 6) in base 14?\nAnswer: ac6930","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 617680 is divided by 687?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 2:40 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 528 is divided by 502.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 4:35 PM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1080?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -v - 10. Suppose v*g - 2*g = 0. Find the third derivative of 0*j**4 + 0*j**4 + 2*j**2 + g*j**2 + j**4 wrt j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**3 - 8*j**2 + 86*j - 28. Give g(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*w**3 - 32*w**3 - 19*w**3.\nAnswer: -13*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 13*f - 8. What is the remainder when 190 is divided by s(-8)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 - -106 - (0 - 3 - 11)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 - -33?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*y, -4*d - 8*y = -4*y - 60. What is d rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + (2*sqrt(42)*-2)\/(2*sqrt(384)).\nAnswer: -sqrt(7)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 449 = -3*d + 446, 7*d + 32 = -5*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -242*d*s**4 + 239041*d*s**3 - 295531048*d*s - s**2 wrt s?\nAnswer: -5808*d*s + 1434246*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 417868, 417861, 417850, 417829, 417792, 417733?\nAnswer: 417646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 2*w**2 + 0*w + 4 + 0*w**4 + 9\/5*w**5 + 0*w**3. What is the second derivative of v(c) wrt c?\nAnswer: 108*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -154 - 100. Let c = 155 + n. Let s = c + 233. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 262*a**3*d*j**3*r**2 + 4*a**3*d*j**3*r + 2*a**3*d*j**2*r**2 - a*d*j*r + 4*d*j**2*r**2 - d*j*r**2 - 2*d - 2*j**2*r wrt j.\nAnswer: 1572*a**3*d*r**2 + 24*a**3*d*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 + m - 3. Let v(x) be the third derivative of x**5\/60 - x**3\/6 + 17*x**2 - 2. Let t(o) = -6*u(o) + 13*v(o). Find f, given that t(f) = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 77.000067 + -77. Round u to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1da - -1?\nAnswer: 1db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23\/16 + -159\/80. Let j = z - 179\/20. Calculate the common denominator of (-4)\/14 + 2082\/378 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 5, -0.4, -0.3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12847933 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -6*t**2 - t - 1. Let f(k) = -6*k**2 - k - 1. Calculate -5*f(n) + 4*m(n).\nAnswer: 6*n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 w when three letters picked without replacement from aaaaaaaawwawaa.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38520 (base 10) to base 14.\nAnswer: -10076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1792 and 36?\nAnswer: 16128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 46.1 and -0.5.\nAnswer: -23.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h - 19. Let q be d(-8). Suppose 2*p + 8 = 2*r + 3*p, 2*p + 2 = q*r. Solve -4 = 2*o - r for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 12:24 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 4)*(1 + 2 - 5) + 4 - 4 + 1)*((-b**4 - b**2 + b**2)*(2 - 2 + 1) + 43*b**2 + 10*b**2 - b**4 + 36*b**2).\nAnswer: 6*b**4 - 267*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 26?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129973 is divided by 3014.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -313, -630, -947, -1264, -1581, -1898?\nAnswer: -2215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 73*h**2\/2 + 10145*h\/2 - 139.\nAnswer: (h + 139)*(73*h - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 2:12 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5412 by -6.\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.5, 0.01, -3, -79\/55, 2\/5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)*2*-2*-2)\/(sqrt(120)\/(sqrt(10) + 2*sqrt(10))*2).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 13*i - 48, -1121*g + 3*i - 6 = -1120*g + i for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 + 859*j**2 - 858*j.\nAnswer: -j*(j - 858)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -62*s - 7. Is u(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17557123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 - (29 + -54 + -8)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t + 75 = -69 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 1 = -2*y + 8, 0 = 2*a - 5*y + 28 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 8*r**2 - 7*r + 3. Let s be v(-7). Solve 2*p - s*y = 3*p - 8, 18 = 3*p + 3*y for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2133, 0, -114 in decreasing order.\nAnswer: 0, -1, -114, -2133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2319038673?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*t - 4*x, -x + 1 - 3 = 0. Let d = 4 + t. Let q = -15 - -19. Solve -d*w = -3*g + 3, -q*w + g + g = 12 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of w**3 - w**2 - 3*w - 15. Let z be m(-1). Let q(h) = -h**2 + 5*h - 3. Give q(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 522 is divided by 75.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 38, 57, 82, 113?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37044165443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56 + 106. Let b = y - 50. Solve b = -0*h - 5*h - 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)\/sqrt(192))\/(sqrt(11)*-1*4).\nAnswer: -sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, v: 2, x: 1, w: 5, j: 1, r: 4}. Give prob of sequence rrtj.\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 34?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-8)\/(-20)*((-150)\/5)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -43*w**2 + 251*w + 52. Let j be z(6). Suppose -t + 0*t - 3*n = -12, 3 = -3*t + 4*n. Solve -a - 2*r = j, -t*r = -3*a - 4*r - 15 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2234 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*c**4\/4 - 39771*c**3 + 27055080*c**2 - 6987508800*c + 418614336000 = 0. What is c?\nAnswer: 84, 1880\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1450454*z**2 - 5595187 wrt z?\nAnswer: 2900908*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118865761?\nAnswer: 7, 16980823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*o = -19. Let l = o + -11. Suppose 4*u = -2*i, -i + 5*u = l + 6. Put i, -1, 4 in decreasing order.\nAnswer: 4, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = n - 1 + 2, -3*n = 3*b - 33. Suppose 0 = i - b - 15. Calculate the remainder when 40 is divided by i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 0*b + 2\/3*b**3 + 0*b**2 - 53. Let s(i) = 7*i**2 - 1. What is s(a(h))?\nAnswer: 28*h**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 408*j + 2906. What is m(-7)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + (sqrt(66)\/(sqrt(48)\/(sqrt(8)*-2)) - (-1 + (sqrt(275)*2 - sqrt(275)))**2).\nAnswer: -272 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 72 + 831*n**3 - 3*n - 32*n**2 - 70 - 827*n**3 as a*n**2 + j*n + x*n**3 + d and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 7*m + 3*f - 171, 5*m - 5*f = 155. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l + 6. Let h be r(4). Let i(f) = -17*f - 429*f**h - 8 + 107*f**2 + 110*f**2 + 107*f**2 + 106*f**2. Determine i(18).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 392090 is divided by 473?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*q + 156 = -685, y - 2*q - 291 = 0. 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 v(i) = -36*i**2 - 323*i + 7. What is v(-9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*c**2*n*p + 8*c*n*p + c wrt c.\nAnswer: -56*n*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81 and 27?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 1:42 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15643.\nAnswer: 15643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3655641 to the power of 1\/3, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 8:19 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -5*t + 0*t**5 - 7\/15*t**6 + 0*t**3 + 0*t**2 + 0 - t**4. Find the third derivative of c(g) wrt g.\nAnswer: -336*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1039*q - 34008 = 385*q. Let c = 49 + -31. Calculate the remainder when q is divided by c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -1\/120*c**6 + 0*c - 1\/6*c**4 - 1\/15*c**5 - 2\/3*c**3 - c**2 + 0. Give g(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -25. Suppose m = -0*m + h. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 769 divide 1031507378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 92490.8 to the nearest one thousand.\nAnswer: 92000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**5\/13 - 34428*j**4\/13 - 344146*j**3\/13 - 1135544*j**2\/13 - 1376352*j\/13 - 550528\/13 = 0.\nAnswer: -17204, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3253204?\nAnswer: 2, 813301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/3 (b) 1 (c) 11\/7 (d) -0.1 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28801*f + 28748*f - 1 + 1 - 11*f**3)*(-2*f + 2*f - f**2).\nAnswer: 11*f**5 + 53*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 4*u**2 - 7*u - 4. Let h be z(-5). Let f(y) = y - 7. Let r be f(h). Calculate the remainder when ((-6)\/12)\/(r\/106) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 61.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -152 - -250023?\nAnswer: 246541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) - (sqrt(1900) + (sqrt(1900) - (sqrt(1900)*1 + sqrt(1900))) + -3)) + 0 + sqrt(1900) + 2)**2*-1.\nAnswer: -7625 - 200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 215519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -28b + 5?\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3751980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61 + 26*j + 61 + (3 - 2 + 1)*(j - 2*j - j) + (21*j - 5*j + 6*j)*(0 - 3 + 4) to z + v*j and give v.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -1. Let z(d) = -d + 8. Let i(s) = s**3 - s**2 + 3*s + 6. Let q be i(-2). Let j(w) = w + 13. Let x be j(q). Let c(n) = x*z(n) + 5*v(n). What is c(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 177*n**2 + 439*n + 1015. What is v(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -488934 divided by 6\nAnswer: -81489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -97*v + 96*v. Let s be (-2)\/6*v + 11 - -6. Solve 0*p + 5*u = 2*p + s, -4*u - 3 = 5*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -2*j + 5*a - 16, -81 = 3*j + 2*a. Is -27 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4293666741 and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -209*m**8\/168 + 23*m**5\/6 + 14*m**2 - 11. What is the third derivative of z(a) wrt a?\nAnswer: -25080*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 533*p. Let b(w) = -6*w**2. Give b(y(d)).\nAnswer: -1704534*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-2\/19)*b)\/(b\/(b**(-2\/45)\/b)))**(46\/3) assuming b is positive.\nAnswer: b**(2392\/2565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10 (b) -0.08 (c) 2\/3 (d) -12.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3 = 8. Let h(o) = 3*o - 3. Let b(d) = -2*d + 2. Give a*b(f) + 4*h(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007994 to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 6197.8?\nAnswer: -1239.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6031404.\nAnswer: 2, 3, 239, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -277.27 - -279. Let u = h + -2.23. What is the fourth smallest value in u, -7, 1\/3, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -278*o**5\/5 - o**4\/6 - o**3\/6 + 31*o**2\/2 - 1407*o. What is the third derivative of m(p) wrt p?\nAnswer: -6672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 538042217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (2 + -2) - (-6 + -23 + 16).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -3*j**2 + 15811 + 468*j + 6*j**2 + 2441 = 0.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + sqrt(1300) + -2 + 2)**2.\nAnswer: -40*sqrt(13) + 1304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 246492 and 1818309?\nAnswer: 3643891236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 3*d = -8*p + 15, 0 = -2*d + 2. Let l(h) = -8*h**2 - 14*h - 15. Let n be l(-10). List the prime factors of (n\/p)\/(-1*3\/6).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*2)\/(2\/((-20)\/(-110)))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(6\/11))**(1\/43) assuming u is positive.\nAnswer: u**(6\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + -3)\/(-3) - -3. Suppose -z*i = -2*w - 2*i - 123, -3*w - 3*i = 198. Let o = w + 133. What is the greatest common factor of 14 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 4*b + 4*b)*(-3*b**2 + 3*b**2 - 3*b**2) - 3 + 2*b**3 + 3 - 10*b**3 - 4*b**2 + 15*b**3 - 14*b**3.\nAnswer: -4*b**3 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + h**2 - h + 1. Let j be s(0). Calculate the lowest common multiple of (-1 - 13)\/(-1*j) and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaxpcap. Give prob of sequence pp.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -113 - -133. Let b(s) = 20 + 52*s - 64*s - r. Let x(f) = -f + 4. Let i(o) = -2*o + 5. Let t(d) = -4*i(d) + 5*x(d). Calculate b(t(w)).\nAnswer: -36*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -7*n**2 - 52*n - 52. Calculate f(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + (-2 - (1 - 0))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 202568\/237 at least as big as 854?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32 in -0.18, 84.3, 1, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29 - -23) + (-1 - -2) - 18?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 480 = 5*m, -83 + 6 = m + 3*x. Let k = -25 - m. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4877824 divided by -76216\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.39 - 0.29. Is 11 greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-621)\/18*(-4)\/6. Let v be -12 + 1*(-3 + 3). Let t = v + q. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 11) to base 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2918106650 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**3 - 3*u**3 - 2*u**3.\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = u + 4*r, -u + 4*r + 3 = 73. Let x = 99 + u. Calculate the remainder when x is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.5+2016\nAnswer: 2017.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 220, 5, -3, -2, -783 in ascending order.\nAnswer: -783, -5, -3, -2, -1, 5, 220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c - 94137 = -23*c + 9527. Calculate the highest common divisor of 684 and c.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/5? (a) -2\/3 (b) 5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.00847, 3, -144\/11, 5 in decreasing order.\nAnswer: 5, 3, 0.00847, -144\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0016871430812 rounded to 6 decimal places?\nAnswer: 0.001687","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 - 3. Let p be c(2). What is the smallest value in p, -4\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hbb when three letters picked without replacement from hsbhbsshhbshxsx?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 82.\nAnswer: 1\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -225*h**3 - 24*h**2 - 39*h - 24. Let n(v) = 45*v**3 + 5*v**2 + 8*v + 5. What is 24*n(k) + 5*t(k)?\nAnswer: -45*k**3 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61793*d**3*j**2 + 5*d**3*j*x**2 - 339*d**2*j*p*x + 11761*d**2*j*x - 46*j**2*p + 4*j**2*x**2 - 2*p*x**2 wrt j.\nAnswer: 123586*d**3 - 92*p + 8*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41.4 - 47. Let n = -0.6 - t. Let x be (-14)\/60 + (-2)\/(-5). What is the closest to -0.2 in -1\/5, x, n?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2 + sqrt(567) + 1)**2.\nAnswer: 108*sqrt(7) + 603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 16, -9 = p - 2*b - 73. Let v = 0 - -9. Is p\/6 + 6\/v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.6471028 centuries?\nAnswer: 64.71028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a centimeter in micrometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-5)\/(-20))\/((12\/(-80))\/((-12)\/(-10)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 15*r**2 - r - 5. Let j be f(-15). Calculate the greatest common divisor of 80 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 divided by -21?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4645\/13356 - 16\/159. Calculate the common denominator of h and -61\/33.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 - 32 = 12*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*z - 34*z = 3*f - 39, 0 = 3*z - 3*f - 69. Which is greater: 42 or z?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-5)\/g)\/g**(-11))**(-25) assuming g is positive.\nAnswer: g**(-125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -3, -4, -3, 0, 5, 12?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 728656.2 litres?\nAnswer: 728656200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five eighths of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 17, 55, 0, 18, -12 in ascending order.\nAnswer: -12, -5, -4, 0, 17, 18, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/17 (b) -0.3 (c) -172 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -24898360 divided by -380?\nAnswer: 65522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 229087413?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -3, 8, -1205, -6 in decreasing order.\nAnswer: 8, -2, -3, -5, -6, -1205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 97 + -88. Let p(m) = -m**3 + 9*m**2 + m. Let j be p(x). Solve a + 1 = -2*k - j, -3*k - 10 = -a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((20\/4)\/5)\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s + 1. Let t(v) = 3*v + 2. Let m(g) = -7*o(g) + 2*t(g). Let f be m(-8). Let i = 26 - f. What are the prime factors of i?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -1823*o - 4. Let b(c) = -3650*c - 6. Determine -3*b(k) + 5*m(k).\nAnswer: 1835*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -11.9202506 and 3.4.\nAnswer: -8.5202506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(2 - 7\/4). Which is the second biggest value? (a) 6\/5 (b) 1\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 3*i - 132, i = 86*g - 23*g + 1 - 21 for i.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005189 rounded to 4 decimal places?\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**7\/840 + x**6\/90 - x**5\/20 - x**4\/6 - 125*x**3\/3 + x**2 + 4*x. Let n(b) be the first derivative of t(b). Give n(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g - 2 - g + 13 + 3.\nAnswer: -4*g + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5128.065 decades?\nAnswer: 615367.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28652 is divided by 294.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000015134 to 6 dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 17 + 33 = 0. Suppose 0 = 5*r - r + 2*z - 86, -2*r + f*z + 34 = 0. What is the highest common divisor of 60 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -69 - (-51 + -62 + 12).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20372\/22 - ((0 - -6) + 0)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79896515?\nAnswer: 5, 17, 157, 5987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmddmmmmdjmmjmmjid. Give prob of sequence im.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jckggjkjgqgcjg. What is prob of picking 2 c?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27157136 by -2.\nAnswer: 13578568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(20)\/sqrt(2)) + sqrt(32) + sqrt(2) + 2 - (sqrt(24)\/(-2*sqrt(588)))**2.\nAnswer: 195\/98 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -327*y + 159*y + 135*y.\nAnswer: -33*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13516 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y + 2. Let n(a) = a - 2. Let r = -20 + 29. Suppose -6*v + r = -3*v. Calculate v*n(f) + 2*t(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - (1 + 0)\/1. Let w be (-7)\/(-12) + n\/(-3). Which is the closest to 0.1? (a) 2 (b) w (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6298 and 5170?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2*sqrt(320)*6 + sqrt(320)*2*5 - (-5 + sqrt(320) + 0 + 0 + sqrt(320))))**2*-6.\nAnswer: -277830 + 17280*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.2748 and -0.1.\nAnswer: 0.42748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*o - 3150 - 1314 = 0 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 4 = 0, 15 - 2 = -4*t + 6*j - 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8136028 is divided by 54240?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -u**3\/2 + 21*u**2\/2 - 50*u. Let h(p) = -p + 3. Let m be h(-4). Let f be c(m). Solve 5*v - 4*v = f for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -6. Suppose 6 = -v*m + 4*m + 5*d, 2*d = 5*m - 57. Suppose 2*z + m - 27 = 0. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 64.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*v - 1873 - 705 = 0, 5*v = -4*w + 10312. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*b + 188 + 175 = 0 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 208181549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a century in months?\nAnswer: 5700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 3*o = -162 + 137, 3*p - 41 = -7*o for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 - (3 + -4 - 31). Solve -5*c = 19 - s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1)**5)**3*((i*(i*(((i\/(i**9\/i*i*i))\/i)\/i*i)\/i)\/i)\/(i\/i**(-9)*i*i))\/(i\/i**(2\/7))**40 assuming i is positive.\nAnswer: i**(-249\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7155*a**2*r**3 + 2*a**2*r**2 + 8*a*r**3 + 771*a wrt a?\nAnswer: 14310*r**3 + 4*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-3\/13)*(c*c**(-20\/11))\/c)\/(((c**(2\/3)*c)\/c*c)\/(c\/(c\/c**(-3\/22)*c)*c)) assuming c is positive.\nAnswer: c**(-2051\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 + -18 + (-62 - -15).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 c, and 1 x when four letters picked without replacement from {c: 4, x: 6, g: 3, n: 1}.\nAnswer: 72\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x**2 - x + 7. Let f(q) = -11*q**2 - 4*q + 21. Let t be (3\/(-4))\/(1\/(-4)). Let u(b) = t*f(b) - 8*d(b). Give u(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 33*y**2 - 2488*y + 244. Calculate f(69).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 39369 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-45) + -414*(-1)\/945\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2. Let l be -6*(1 + (-6)\/4). Let p(s) = -5*s. Let a(h) = -8 + 8 + 4*h. Let w(y) = l*a(y) + 2*p(y). What is w(b(x))?\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -528 - -754. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 762979697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/585 - -128\/585. What is the biggest value in z, -5\/3, -45?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16200 - 3584. List the prime factors of g.\nAnswer: 2, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13222 is divided by 70.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 z, and 1 g when four letters picked without replacement from mummjjmmiuzmzgmjzu?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9690 rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 614.9841 months?\nAnswer: 0.51248675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 - -0.17621718.\nAnswer: -79.82378282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/594 and -131\/1386.\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8430?\nAnswer: 2, 3, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 4:54 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (1 - 0) + -23 + 20\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 1 + 6)*(0 + 2 - 4)*(-z**3 + 2*z**3 + z**3) as g*z**3 + b*z + f + c*z**2 and give g.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 856033441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g*k**5 - 44*g*k - 2*g - 18*k**5 - 14*k wrt k.\nAnswer: -20*g*k**3 - 360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 2*q - q. Suppose -5*a - 205 + 62 = -2*s, q = a - 4*s + 25. Let b = 29 + a. Solve -3*m + m + 10 = b for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6866*n = 6869*n. Is n not equal to -7\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r + 95 - 222 - 4*r - 4*r**2. Let a(n) = -2*n**2 - 6*n - 125. Let i(b) = -5*a(b) + 4*y(b). Differentiate i(z) with respect to z.\nAnswer: -12*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99484650 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(24\/8))\/((-26)\/(-299)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*z - 47*z**4 + 3*z**2 - 70*z + 35*z as x*z**4 + u*z**3 + n + j*z**2 + q*z and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djjzvvvjejjdjvvzyzyv. What is prob of sequence yd?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**4\/9 - 256*d**3\/3 - 11698*d**2\/3 - 292340*d\/9 - 227200\/3 = 0.\nAnswer: -32, -5, 426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 - f**2 + 0*f**2 + (f - 3 + 3)*(5*f - 3*f + 0*f))*(f + 2*f + 3*f)*(0*f + f - 2*f).\nAnswer: -6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -525, -6, 2 in ascending order.\nAnswer: -525, -6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (297\/(-18))\/11*-512?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 at least as big as 92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 - 22 = 5*g - 5*o, -4*o = -5*g - 9 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-1\/11))\/i**(-2\/7))\/(((i**3*i)\/i)\/i*i**(-2)\/i))**36 assuming i is positive.\nAnswer: i**(6084\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g + 7*g - 3*g)*((-8 + 7 + 11)*(g + 0*g - 3*g) - 2*g + g + 4*g) to the form w + m*g + k*g**2 and give k.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.09484878 * 2\nAnswer: -0.18969756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, o: 8, l: 3}. What is prob of sequence tlt?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -9449*j - 170454. Calculate o(-18).\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 9*t**3 - 49*t + 2. Let p(n) = 4*n**3 - 24*n + 1. Determine -13*p(f) + 6*q(f).\nAnswer: 2*f**3 + 18*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 486 at most 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.776 + 2.576. Sort 1, v, 2\/161, 5 in increasing order.\nAnswer: v, 2\/161, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/2 of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 11*l**3 - 5*l**2 - 5*l + 5. Let s(a) be the first derivative of -3*a**4\/2 + a**3 + 3*a**2\/2 - 3*a + 3. What is 5*s(d) + 3*v(d)?\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5\/2 - -4. What is the closest to 0 in 3, -2\/3, f?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 3\/8, -42, 2\/549, 0, -2\/3 in decreasing order.\nAnswer: 3\/8, 2\/549, 0, -0.5, -2\/3, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7*v**2. Let m(f) = -5*f**2 + 40*f**2 + 5*f**2 - 26*f**2 + 0*f**2 - 2. Calculate g(m(z)).\nAnswer: 1372*z**4 - 392*z**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/4 (b) -29 (c) 5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*u + 263*u + 740*u + 130*u.\nAnswer: 938*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -g + 9, g = -5*n - g + 21 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 13*u - 14. Let g be y(14). Solve g*b = -b - 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (0 - 7) + -3 + 5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (16\/30)\/2*-5. Let b be 11492\/7098 - (-4)\/(-3). What is the nearest to 8 in -4\/7, b, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u - 3*u - 1 + 3*u.\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -4, -2, 111 in descending order.\nAnswer: 111, 18, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = s + 2*o, s + 3*s - 2*o = 336. Let l be (-2)\/(-9) + 374\/18. Calculate the highest common factor of l and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 275 + 95 = -5*f, -2*v - 162 = -4*f. Suppose -141*i + 6 = -138*i. Suppose f = i*u + u. What are the prime factors of u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 426853 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1631, 2970, 4227, 5360, 6327, 7086?\n\"Answer: -7*k**3 + k**2 + 1385*k + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -6*r. Let s be (-62)\/(-14) - (4 - r - 0). What is the closest to 1 in s, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((4 - 7) + -6 - -18) + 3\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x + 9*x + 2*x. Let q(n) = 3*n + 5. Let s be q(-2). Give t(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1580 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 0 + 0)*((0 + 0 - 5)*(-3 + 0 + 5) - 1 + 4 - 1).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -14. Let q be (h\/12)\/(5\/(-20)). Let s = q - -6. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(-4 + 0 + 1 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111010110011100 (base 2) to base 13.\nAnswer: 10920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 74?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -22 - 24 + n**2 + 3*n + 48 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -27*m - 27*m + 57*m. Let n(p) = -p + 1. Let h(d) = -4*d + 2. Let v(s) = -2*h(s) + 4*n(s). Calculate b(v(g)).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 4*z - 51, 4*f + f - 99 = 2*z. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -16.1. Let q = 0.2 - 0.5. What is the closest to 0.1 in q, a, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 0 + 378 - -1. Let s be 16\/(-4) + m\/93. Is s >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.2 + -9.4. Let u = 63.73 - 64. Let x = 0.03 - u. Which is the second smallest value? (a) x (b) 0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-9))\/((-82)\/123)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000384540867 rounded to 7 dps?\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25485264?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1243307 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35453 and 484.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -26010*u + 394676*u + 4 + 131335*u. Suppose -4*l - 4 = -t - 0*l, -t - 5*l = 14. Let r be m(t). What is r rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 19*a**2 + 1. Let g be c(19). Let j be ((-2)\/35*5)\/(g\/(-14)). Solve -j*y + 4*d + 8 = -0, -4*y + 2 = -d for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.07 or 3\/233?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 84053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.18 - -0.18. Let f = 88.164 + -88. Let u = 0.836 + f. Which is the closest to q? (a) -0.3 (b) u (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232023 - 33894 = 10771*p + 15022 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -1.6 (c) 54\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 14*k + 6. Determine b(15).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 2. Let w be c(0). Suppose w*n = 62 + 126. Let u = n + 75. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -5*a. Let d(g) = 3424333*g. Give d(f(h)).\nAnswer: -17121665*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6023 - -6032. Let u(q) = q**2 - 4*q - 4. What is the lowest common multiple of s and u(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100121 - -10?\nAnswer: -100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1008) - sqrt(1008)) + -2)*-6.\nAnswer: 12 + 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*v**4 - 1017*v**3 + 573 wrt v.\nAnswer: 68*v**3 - 3051*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -341 (b) -2\/3 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11355 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 g = 1.95 + 0.05. Let o = 1 + g. Let f be ((-2)\/(-3))\/(4\/(-6)). Which is the third biggest value? (a) 2\/13 (b) o (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 406, 1760, 4020, 7192, 11282?\n\"Answer: d**3 + 447*d**2 + 6*d - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/57 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 772*u + 178*u**2 - 772*u + (-3*u + 5*u - 8*u)*(-2*u - 2*u + 2*u) + 0*u**2 + 0*u**2 + u**2.\nAnswer: 191*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105324, -105213, -105034, -104793, -104496, -104149, -103758?\nAnswer: -103329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/11 and (1\/2)\/(42\/(-161)).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 11:48 PM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 78688 + -24058. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -19*i + 3. Suppose 5*v + 2*a = -19, -6*v - 5*a - 22 = -2*v. Let z(s) = 56*s - 8. Let d(r) = v*z(r) - 8*j(r). Let l(u) = -u. Determine d(l(n)).\nAnswer: 16*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 = -0*v - 5*v. Let k = v - 33. Solve o - 2*o - 3*w - k = 0, -3*w - 12 = 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 3*x + 12 = 0, x + 0*x = 5*s - 16 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 - 139*r + 20. Give c(67).\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2266468144.\nAnswer: 2, 1069, 132511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 2268.9113 to the nearest ten.\nAnswer: 2270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 b when two letters picked without replacement from {a: 3, z: 3, k: 1, n: 3, d: 2, b: 3}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 8*x**2 + 3*x - 7. List the prime factors of n(4).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + v. Suppose v*z = -2*z - 5*f + 5, 0 = -4*z - f + 37. What is the highest common divisor of z and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4224 and 384?\nAnswer: 4224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10021254 (base 6) to base 2.\nAnswer: -1000101000011100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggsgpvpppsgvgvgvpg. Give prob of sequence ss.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millimeter in micrometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -1222*c**2. Let p(i) = -3*i**2 - 8. Let v(a) = 2*a**2 + 6. Let d(w) = -3*p(w) - 4*v(w). Calculate d(o(m)).\nAnswer: 1493284*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*g - 13*g + 18 + 17 - 14.\nAnswer: -2*g + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 9:42 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/9 - (-1)\/(-45).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9836 + -4?\nAnswer: 9832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 135, 225, 329?\nAnswer: 447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z**(7\/2)\/z)\/z)*z*z*z\/(z*z**3*z))\/(z**(1\/5)*z**(-1\/5)\/z) assuming z is positive.\nAnswer: z**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 + 3 - 3)*(-33 + 9*f + 33).\nAnswer: 36*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -111*b**4 - b - 257*b**4 + 1 + 872*b**4 + 1 as h + r*b + k*b**4 + c*b**2 + s*b**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -13\/12 and 0.3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2734 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1219, 2438, 3661, 4888, 6119, 7354?\nAnswer: 8593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a. Let u(n) = -183*n**2 + n - 5. What is y(u(i))?\nAnswer: 366*i**2 - 2*i + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/56)\/(30\/(-200)). Let x(u) = -2*u**3 - 1 + 3*u**3 + 2*u**2 - 5*u**2 - 9*u**2. Let a be x(12). Is a < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyi when three letters picked without replacement from {x: 1, i: 2, u: 2, y: 4}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of j**9\/1680 - j**5\/15 - j**4\/4 + 11*j. Let b(o) be the third derivative of k(o). Find the first derivative of b(c) wrt c.\nAnswer: 36*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 33734.31 weeks?\nAnswer: 20402510688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 2*v - 18, 693*t = 4*v + 701*t - 144 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -284*s**5 - 26491*s**4 + 2*s**2 + 26492*s**4 - 29*s + 9*s wrt s.\nAnswer: -17040*s**2 + 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57 + 30 - 7) + 34.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18\/23 + -208\/207. What is the nearest to c in 3.5, 5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 161 - 161. Solve -5*k + 4*k - 1 = f for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*d + 641 - 641)*(3*d**3 + 2*d**3 - 4*d**3).\nAnswer: -31*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5c + -5b?\nAnswer: -ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -139 - -247. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 6796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -304 - -347. Put -5, l, 4 in descending order.\nAnswer: l, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**5\/5 - 107038*t**4\/5 + 2866102492*t**3\/5 - 97361442696*t**2\/5 + 1007710598016*t\/5 - 3297558532608\/5 = 0.\nAnswer: 8, 18, 53502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*d + 9*d = -4, -4*n - d + 13 = 0. Let v(f) = -f - 5. Let y(h) = -2*h - 6. Give n*v(a) - 3*y(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**2 + 936*k + 1884 = 0. What is k?\nAnswer: -2, 314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102400042 + 244?\nAnswer: -102344243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -131.41 (c) 1.4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 953407?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 6 + -3 + 2 + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -397730 divided by 2?\nAnswer: -198865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -1073?\nAnswer: 1067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2620 + 4605. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4562.88 and -9.\nAnswer: 41065.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9 + 1. Let x = 97644 - 881044\/9. Let d = -250 - x. What is the smallest value in 2\/17, i, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -204, -766, -1688, -2958, -4564?\n\"Answer: 2*k**3 - 192*k**2 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1123 - -121?\nAnswer: 1310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 285758, 285767, 285800, 285869, 285986?\n\"Answer: 2*y**3 - 5*y + 285761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -146 - -652. Is 22 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 978453.1 milligrams to nanograms.\nAnswer: 978453100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3*x + 765 = 780, -x = -4*f + 38. Calculate the lowest common multiple of 1320 and f.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*4\/28*14. Suppose -3*z + 65 - 11 = d, 2*d = q*z - 82. Let l = -10 + z. What is the lowest common multiple of l and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28710134 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 19258520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 14. Suppose r = -3*r + 5*f - 7, -f = q*r + 16. Let v be -1 + -1 + 0 + 0. Is v at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 242 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5797\/77 + (-8)\/2. Let n = p - 71. What is the third biggest value in 1\/2, n, 40?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1421567\/2 or -710785?\nAnswer: -1421567\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264364 is divided by 185.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-3))\/(28\/(-42))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 8 - q**2 + 2 in the form z + v*q**2 + g*q and give z.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 3*y + 16 = 0. Solve t - 5*a = -2*a + 17, y*t = -5*a for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k - 10. Let b be f(-6). Let i be -3 - (b - (0 + 56783)). Suppose -2322 = -3*r + i. What is r rounded to the nearest one thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*s + 8 = s, 4*v + 5*s = 9. Let k = 0.01 - 0.31. What is the nearest to v in k, -4, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48*h**5 + 4*h**4 - 118366*h**3 - 556806455*h**2.\nAnswer: 2880*h**2 + 96*h - 710196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43581?\nAnswer: 3, 73, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 - 6. Let c(m) = m + 31. Let z(g) = 3*g + 37. Let x(j) = 4*c(j) - 3*z(j). Let o(h) = h - 3. Let k be 1\/(-2 + 9\/4). Determine k*x(a) + p*o(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -461*g + 1098*g - 8760 = 661*g + 560*g for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**2 + 3*p**3 - 2*p + 8*p**3 + 0*p**2 - 3*p**4 - 10*p**3 in the form m*p**4 + g*p**3 + q*p + n*p**2 + j and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -301750 + 17?\nAnswer: -301732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/80)\/((392\/175)\/4).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 160\/(-560) + (12\/(-7) - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 570\/421 in 19, 1\/2, 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 8*b**2 - 8*b - 9. Determine j(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.489 and -232.38958384?\nAnswer: 231.90058384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 98*a**5 - 3*a**4 + a**2 - 37*a wrt a.\nAnswer: 5880*a**2 - 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 51*k**2 + 2192*k - 40. Calculate z(-43).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.03 + -134?\nAnswer: -150.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2 + 19*a + 2*a**2 + 17 - 9*a. Does 21 divide l(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -293 by -4.\nAnswer: 293\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1032.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 3*k + 0 = -24, 5*d - 35 = -4*k for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 837*r**3 + 0 + 3 - 847*r**3 - 3.\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15*(340\/(-30) + 11). Let f be (-56)\/(-234) + 8\/36. Which is the closest to 0? (a) f (b) d (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 5*u + 22, -2*v - 2*u = -5*u - 14. Suppose 5*r + 3*n = 8*n + 30, 5*r - v*n = 28. Put 5, r, -5 in ascending order.\nAnswer: -5, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13 + -3 + (-6)\/(-2). Let r = i + -11. What is the second derivative of -r*o + 5*o - 2*o**4 - 4*o wrt o?\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 - (-11 - (-4 + -1)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -856 - -846. Let h be (-48)\/m - 7\/(-35). Solve a = -h*d + 2*d - 1, 4*d = 5*a + 24 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2 - 10*k - 17. Let j be z(-8). Let t = j + 265\/4. What is the common denominator of -33\/2 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 242 and 638?\nAnswer: 7018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 7:47 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 10 = 0, -3*b = 4*a + 14 + 9. Let u be -2 - (1 - (a + 7)). Solve -7 = 5*h - u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*15003\/(-10980) - 1*-6. Let h = 4\/61 + u. Which is the smallest value? (a) 4\/3 (b) h (c) -7.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -61*c**2. Let i(o) = -2718*o + 1361*o + 1355*o. What is l(i(a))?\nAnswer: -244*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26644 - -2043. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 8. Let w be u(4). Let l(c) = 0*c - w*c + 6*c. Let o = -5 + 1. Give l(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + (31 - 61) - (0 + 2 - -14)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 941 + 87 = 2*t. Find the second derivative of t*z**2 - 4*z**3 - 16*z - 514*z**2 wrt z.\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5612?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16757280 by -1396440.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5063915651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 12:34 AM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vt when two letters picked without replacement from {v: 7, t: 4}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3764*m**3*x**3 - m**3*x - m**2*x - 433*m*x**3 - 5*x + 2 wrt m?\nAnswer: 22584*x**3 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000494275 rounded to 6 dps?\nAnswer: 0.000494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*s**2 - 38*s**2 + 11*s**2 in the form h + d*s**2 + w*s and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 214 + -1494\/7. Let s = 0 - -0.1. Let h = -43 + 216\/5. What is the nearest to s in h, -4, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 37 - 61. What is the remainder when 27 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1.9, 2\/563, 3, 25.\nAnswer: -1.9, 2\/563, 0.2, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 9*w + 5. Let g be y(-5). Solve 2*m + 3*m = g for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7797, 7356, 6915, 6474, 6033?\nAnswer: 5592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 524511 is divided by 174831.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 394.9 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 19*a - 26732 + 98768 = 0. Does 9 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/8)\/((-11)\/264). Let r be ((-36)\/y)\/((-2614)\/10). Let a = -82311\/6535 - r. What is the common denominator of -64\/3 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**2*x**3 - 44*n**2*x**2 - 229*n**2 - 5*n*x**3 + 60*x**3 wrt x.\nAnswer: 6*n**2 - 30*n + 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 - 5*l - 6. Let a(o) = 14*o - 297*o**2 + 0*o + 17 + 292*o**2. Let f be 1*(1 - 14) + 2. What is f*y(h) - 4*a(h)?\nAnswer: -2*h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6809369926 to the power of 1\/2, to the nearest integer?\nAnswer: 82519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tutdudddjdouddjudu. Give prob of picking 2 j.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*k - 2*l, -3*k - 10 = -4*k + 3*l. Sort k, 2, 1, -4 in decreasing order.\nAnswer: 2, 1, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1402.1382 + 1402. Let s = 0.0382 + k. What is the nearest to s in -0.3, -1\/2, 0.4, 1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19140 divided by -9570\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/7, -1\/4, -7808, 4, -1 in ascending order.\nAnswer: -7808, -1, -1\/4, 6\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qv when two letters picked without replacement from quluuluqqllrcquqlvlq?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1662219 by 39.\nAnswer: -42621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 54208*w**4 - 291808*w**3 - 361828*w**2 - 15992*w - 180 = 0.\nAnswer: -1, -1\/44, 45\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 15.4. Let v = -5.4 - r. Let j = 7.02 - 7. Sort j, v, -2\/5.\nAnswer: v, -2\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 745, 781, 879, 1069, 1381, 1845?\nAnswer: 2491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k. Let y(c) be the second derivative of 13*c**4 - 8*c - 1. What is y(s(r))?\nAnswer: 156*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -0.3. Let w = -4 + 3.6. Let c = 3.23 + -0.23. Put c, h, w in decreasing order.\nAnswer: c, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5747 (base 8) in base 12?\nAnswer: -191b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 0.0379\nAnswer: -0.0758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2826 a factor of 25877682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -692*w - 216. What is g(2)?\nAnswer: -1600","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - y**2 + 9 + 3 - 2002*y - 8 as i + v*y**2 + n*y and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -1. Let q(o) = -o**2 - 2*o - 4. Suppose -4*f + 19 = -3*l, l - 3*l = -5*f + 15. What is f*q(w) - 2*a(w)?\nAnswer: -w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/6778137 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3452341946.\nAnswer: 2, 17, 29, 43, 107, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-138)\/621*(-54)\/(-56)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 484, 968, 1452, 1936, 2420, 2904?\n\"Answer: 484*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -411093, -822216, -1233335, -1644450, -2055561, -2466668, -2877771?\nAnswer: -3288870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**2 - 10*i - 3. Suppose 23*s = 19*s - 5*m - 36, s = -m - 8. Give o(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 2*y - 2122, -3*z + 1057 = -34*y + 35*y. What is the remainder when y is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 178 and 978644.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5*q - 20 = 0, 3*q + 22 = -4*w - 7. Which is smaller: -34\/9 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q + 7. Let s(y) = 3*y - 6. Suppose -2*z + 2458 = -5*u, -3*u - 1451 = -z + 23. Let a = -485 - u. Calculate a*s(i) + 4*d(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-7)\/3)\/((-455)\/390))\/(2\/12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.89 + -0.11. Let t be (4\/6 + -1)\/3. Let r = 8 - 13. What is the second smallest value in t, q, r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0384 and 11.821.\nAnswer: 0.4539264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*u = 87 - 87. Put u, 0.4, 1\/15 in descending order.\nAnswer: 0.4, 1\/15, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-4))\/((-9 - 1)\/(-20)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-78)\/10)\/((-6045)\/930)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2299299 meters to nanometers.\nAnswer: 229929900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-3*3\/(-126)). Let r(q) be the first derivative of -q**3\/3 + 5*q**2 - 7*q - 1. Let b be r(7). What is the greatest common factor of b and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96904, 96678, 96300, 95770, 95088?\nAnswer: 94254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 403541337*o**5 + 2*o**2 + o + 8381727 wrt o.\nAnswer: 24212480220*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8\/6*12\/((-44)\/11) + 36890?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - 2*i + 5, -y = -3*i + 33 - 43 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -46.8, -4, 1\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 91*d + 2162 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100 - 18*w**2 + 204 - w - 149 + 23*w**2 + w.\nAnswer: 5*w**2 - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 656205 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42 + 58. Suppose r*g = 7*g - 36. Suppose q - 4*f + 3 = -2*f, -q + 4*f - 5 = 0. Which is the closest to 0.2? (a) g (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14330 + 100308\/7. What is the closest to -19 in -2\/5, 2\/11, 1, r?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssajxscssscjjja. Give prob of picking 1 a and 1 c.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + w - 2*w = -9, 0 = -2*x + 5*w + 9. Let u(g) = 0 - 1 - 4*g + 3*g + 2. Calculate u(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*k + b - 92, -2*k + 3*b = -81. Let j = k + 51. Let i be ((-40)\/(-60))\/(1\/j*-1). Is i bigger than -61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21225660 by 1061283.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (80\/(-8))\/(-5) + (0 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l**2 - 8*l**2 + l**2)*(-12*l - 8*l**2 + 0*l + 6*l**2).\nAnswer: 4*l**4 + 24*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 12:39 PM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 114 + -108. Let f(c) = -c**3 + 5*c**2 + 5*c - 1. Give f(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1902242 and 1243.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.04, 7, 0.2, -0.929?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3357470, -6714933, -10072386, -13429823, -16787238, -20144625, -23501978, -26859291?\n\"Answer: z**3 - z**2 - 3357467*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/sqrt(5)*2)\/(sqrt(10)\/(sqrt(5)*1)).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 41289\/9 + 12\/9. Let s = w + 456. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/370 and 47\/8905.\nAnswer: 658970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 24 + -530 + 529\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42178 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5360.753 meters in nanometers?\nAnswer: 5360753000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 12 = 0, -5*r - 558 + 513 = 5*v for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 184\/(-56) + 4\/14. Let j(x) = -x**2 - 4*x. Let g be j(v). Suppose i - g*i = 890000. Round i to the nearest 10000.\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38.611 + 2405.\nAnswer: 2366.389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8022 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 4:27 PM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 7*v**2 + 3*v + 1. Let n be o(7). Suppose 0*h + 2*h - n = 4*k, -87 = -5*h + 2*k. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -189, -63, 29, -5 in descending order.\nAnswer: 29, -5, -63, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2998906 + 2998906 - 1331*p in the form c*p + k and give c.\nAnswer: -1331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 42 = -2*r - 2, 0 = r - 2. Suppose 4*g = 132 - 36. Calculate the remainder when g is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m + 0*m + 36*m**3 - 20*m**3 + 19*m**3 + 20*m**3.\nAnswer: 55*m**3 - 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*k + 10 = 50*k. Suppose 3*g + 256 = 2*p + g, 2*g + 652 = k*p. Is p a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21970.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (210\/(-175))\/((-33)\/5). What is the second biggest value in -6\/7, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/5)\/(35 - 34)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33687 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 85.\nAnswer: -5, 4, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -3449386 and -3449386 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -686*m = -190*m + 30044 - 944 + 25460 for m.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -172, -0.1, 1\/185, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 12. Let v be (12\/r)\/(-4*12\/160). Let j be 2\/(-3) - (-4)\/8. Put 0.4, 2, v, j in decreasing order.\nAnswer: 2, 0.4, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f**3 - 20 + 20)*(-39*f - 38*f + 35*f) + (4*f**2 - 4*f**2 - f**2)*(-3*f**2 - 6*f**2 + 4*f**2) as t*f + c*f**4 + x + z*f**2 + m*f**3 and give c.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13612199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2684166223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*i - 173 = 797 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3880 - -34960\/9. Is 1 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**3 + 0*w**3 + 2*w**3)*(-180048*w - 9*w**2 + 181413*w + 5*w**2).\nAnswer: -8*w**5 + 2730*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3077133753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rjetjirt. Give prob of sequence jrir.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q + 3. Let k be z(8). Let v = k - 7. Suppose -11 + 3 = -v*t, 4*c = 2*t + 20. Solve -g = -3*j - 7, 0 = -g + c*j - 2*j + 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -409 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**3 + f**2 - 6*f - 21. What are the prime factors of n(-5)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 388134.2 millennia?\nAnswer: 388134200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o - 2*o - 31 + 3*o - 5*o + 3*o + 5*o.\nAnswer: 4*o - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 443652.\nAnswer: 2, 3, 11, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 2. Suppose -2*j + o = -2*o, o = b*j. Suppose 0 = -4*v - j + 44. What is the remainder when 31 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-2)*12\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -176 (base 16) to base 8\nAnswer: -566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 + 0*g**4 + 9\/2*g**3 + 0*g - 3\/2*g**5 + 0.\nAnswer: -3*g**2*(g - 2)*(g + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 14*r**2 + 6*r + 11. Suppose 10 = -5*t, y + 6*t - t = 0. Is z(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-15))\/(-7)*(420\/(-162))\/7.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8 + 3 + -2 + 1. Let v be a\/14 + (-8)\/(-28). Solve 0 = 3*z + v + 5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 5*x**2 - 4*x - 10. Determine u(7).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 5*k - 2. Let v be x(-2). Let c be (-2)\/(-8) - 33\/v. Solve -c*p - 2 = 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y**4 + 2*y**4 - 5*y**4)*(10 + 23 + 11)*(995 + 2284 - 224) in the form p*y + k + b*y**3 + f*y**4 + v*y**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-5)\/((-10)\/2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o**6 + 17*o**5 - 1961*o**4 + 732101*o**2?\nAnswer: 240*o**3 + 1020*o**2 - 47064*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 168\/(-315)*(-3474)\/(-134328).\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 855.3 - 817. Let m = w + -40. Let x = m + 2.7. Which is the closest to 0.1? (a) -0.08 (b) -2\/13 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166111411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/(-1*2\/(-6)*(7686\/(-28))\/(-61)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {h: 1, v: 1, c: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1879 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -160 (b) -0.05 (c) -0.067 (d) 0.2 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 62.937 to the nearest integer.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 299*i + 4*i - 309*i + 6*i + 4*i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51906*v = 4*y + 51911*v + 285, 0 = -6*y - 4*v - 214 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.2 (b) -3 (c) -4 (d) -67082\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 5*q**2 - 131885*q - 34090240 = 0.\nAnswer: -256, 26633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1435997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 8*o**2 + 6*o - 38. Let r(q) = -15*q**2 - 17*q + 76. Let z(g) = -6*r(g) - 11*v(g). Factor z(c).\nAnswer: 2*(c - 1)*(c + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -1\/12*g**4 + 0 + 6*g**2 + 0*g + 1\/3*g**3. Suppose -4 + 16 = -4*f. Calculate q(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2093*g - 71*g**2 + 4182*g + 48*g**2 - 2090*g - 171*g**2.\nAnswer: -194*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13\/5*a - 2\/5*a**2 - a**4 + 7\/5 - 1\/5*a**5 + 14\/5*a**3.\nAnswer: -(a - 1)**3*(a + 1)*(a + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5160174 bigger than 5160180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.1, 393, 5, 22250 in increasing order.\nAnswer: 2.1, 5, 393, 22250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -232462\nAnswer: 7\/232462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2299))**2 + (sqrt(19) + 1)*-5 + -1.\nAnswer: 17*sqrt(19) + 2294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 6*r + 6. What is the remainder when 69 is divided by q(5)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -43*w - 6. Is x(-2) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -127, -126, -125, -124, -123?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**3*h + a**3 + 609*a**2*h**3 + 2*a**2 - 502*a + 2*h**2 with respect to h.\nAnswer: a**3 + 1827*a**2*h**2 + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(4\/342*459\/102)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 2001?\nAnswer: -10\/2001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 4*l - 48 = 0, 2*z + 117 - 95 = -3*l for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1443820.\nAnswer: 2, 5, 7, 10313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 10. Let b(v) = -2*v**3 + 3*v + 2. Let q be b(-2). Suppose f - 4*f - q = 0. Is f <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 2*d - 36, -2*d + 11 = a - 15. Suppose -d*n + 70 = -0*n. Suppose 0*x = -4*x, n*q + 2*x - 7645 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y - 35. Calculate o(14).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of 2*s**5\/35 + 9*s**4\/7 + 242*s**3\/21 + 360*s**2\/7 + 800*s\/7 + 36. Suppose w(r) = 0. What is r?\nAnswer: -5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide ((-69)\/(-90) - 8\/16)*-4445*-51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**5 + 2*i**5 - 3*i**5 + (i**5 - 2*i**5 + 2*i**5)*(-785 + 6 - 73).\nAnswer: -849*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -32*y**6\/3 + 18*y**3 - 4. What is the third derivative of x(n) wrt n?\nAnswer: -3840*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 p when two letters picked without replacement from {f: 2, s: 2, p: 8}.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31957895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 337\/5 (b) 11213 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4120 is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, 130, 387, 766, 1279?\nAnswer: 1938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/1180 and 21\/20.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -246 - -73?\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8854590 and 16233415.\nAnswer: 97400490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -404450 + -10?\nAnswer: -404500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 - 2.3. Let o = 14 - 24. Let h = -10 - o. Which is smaller: y or h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -438 by 401239.\nAnswer: -438\/401239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121674.\nAnswer: 2, 3, 7, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.02 (b) 0.1 (c) -0.064943 (d) 1 (e) 3 (f) -3 (g) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46189 and 86990683.\nAnswer: 4199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/54*((-2850)\/10)\/(-19).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 4*m - 34 - 57 - 36 + 154.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 - 42. Suppose 26 = -5*o + w*x, 4*x = -o + 3*o + 20. What is the units digit of o - -2 - 1 - (1 + -82)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 11:54 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 7. Let o(r) = 3*r**2 - 6*r - 9. Let s(w) = w**2 - 1. Let y(i) = -o(i) + 2*s(i). Let z be y(7). Determine t(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 251\/6, -4, 0, 5, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 275 divided by 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1428)\/8)\/17*45\/84 - 483\/1288?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 + (22 - ((13 - 16) + (24 - 14))).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -5 and 3.3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(70\/36750*75)?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001435572433 to 5 decimal places.\nAnswer: 0.00144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79, 7, -2 in increasing order.\nAnswer: -79, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4920\/112 + 668\/9352?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -81 (base 9) to base 15.\nAnswer: -4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/16*-3)\/((-4)\/32). Let m(a) = a**3. Calculate m(y).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and 2310?\nAnswer: 2310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1772 and 12.\nAnswer: 5316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -11. Solve 4*v = -3*c - 16, -c + v - 5 = -n for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8a4 (base 12) in base 16?\nAnswer: -4fc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -4191*v**4\/4 + 71*v**3\/3 - 13*v**2 + 3582. What is the third derivative of j(c) wrt c?\nAnswer: -25146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27024 + 2548. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -272.6 + 273. Let f = 6 - 8. Which is the closest to f? (a) 5 (b) t (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 685 divide 27779143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1533583131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25627.34 and -108.\nAnswer: 2767752.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 202 and 12.\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 7. Is -4 - b - (-140 - 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/45, 26, 0.2, 2?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2985061457?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-24820)\/(-25))\/(-4) - 3. Let o = 5339\/20 + t. Find the common denominator of 6\/49 and o.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -23. Let l be (t\/(-8))\/(1\/2). Suppose -169 + 2062 = l*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/4 + 3\/2. Find the first derivative of 2 + o*r**2 - r**2 - r**2 wrt r.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of q**8\/1008 + 2*q**7\/315 - 11*q**6\/540 - q**5\/15 + 25*q**4\/6 - 9*q. Let j(i) be the third derivative of g(i). Factor j(c).\nAnswer: 4*(c - 1)*(c + 3)*(5*c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*z**2 + 5436*z - 254696.\nAnswer: -4*(z - 79)*(7*z - 806)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26.3 + -30. Let f = q - 1.3. What is the closest to -2 in -2\/11, f, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 187 - 182. Suppose -253 = -q - s*d, -5*q + 262 = -4*q - 4*d. Is 26 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/4*c**2 + 1\/2*c - 1\/4*c**3.\nAnswer: -c*(c - 1)*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -62 - 15*c + 62. Let h(t) = -2*t. Calculate h(b(i)).\nAnswer: 30*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 34508705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of 0*f - 2\/3*f**3 + 19\/60*f**5 + 3\/8*f**4 - 22*f**2 + 0. What is the units digit of k(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15226 - 7071. What are the prime factors of x?\nAnswer: 5, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201369 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*a = -47*a + 69. Let t = 62 + a. What is the remainder when t is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 184?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -66*x - 4555. Calculate g(-69).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10472 is divided by 274?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 + 1434955*h - 8609910.\nAnswer: 5*(h - 6)*(h + 286997)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.004 - 4.404. Let c = 4 + b. Let d = 1044\/5 - 208. What is the third smallest value in d, c, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 5*g + 26, -17 = 3*j - g - 3*g. Let n = 3 - j. Suppose -n*h = -86 - 54. What is the greatest common factor of h and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3\/4)*x*x)\/((((x*(x*x*x*x**6)\/x*x)\/x*x)\/x)\/x))\/(x*x\/x**(17\/5)*x*x**(-11)) assuming x is positive.\nAnswer: x**(93\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25645 + 25656. Solve -10 = t - 2*b, -4 = -12*b + z*b for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + c**2 + 2*c + 2. Let z be y(-2). Suppose 0 = -3*n + 3*t, 3*t - z = -1. Solve n + 9 = 4*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 422*u**2 - 73*u - 8. Is t(15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62*d*j**2*p - 2*d*j*p - 226*d*p - 2*d - 81427*j**2*p + 2*j - 5*p wrt j?\nAnswer: -124*d*p - 162854*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 161, -8, 5, 6, 7, 4.\nAnswer: -8, -3, 4, 5, 6, 7, 161","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 534, 481, 340, 69, -374, -1031?\n\"Answer: -7*l**3 - 2*l**2 + 2*l + 541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -150*f + 3135. Let c be s(21). Sort c, 1, -1 in decreasing order.\nAnswer: 1, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 7:11 PM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -418 + 421. Factor 26*q**2 - 3*q**2 - 15*q - 5*q**y - 3*q**2.\nAnswer: -5*q*(q - 3)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yjpppjjpyyp. Give prob of sequence jppj.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 932 and 15133816.\nAnswer: 15133816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 36, -4 in increasing order.\nAnswer: -4, -3, 0, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbbb. Give prob of picking 2 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2. Determine t(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 26. Suppose -5*r + 10 = 5*d, -3*r + 6 = -d - 8. Suppose 10 = 5*k, -4*k + 16 = r*l - 0*k. Solve -1 = -4*q - a*v - 6, 0 = -2*q - 4*v + l for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 5 = 5*r, -4*u = 5*r - 29. Suppose 9*t = u*t - 246. Does 20 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 16d5b3d4?\nAnswer: -16d5b3d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -25986, -103967, -233940, -415905?\n\"Answer: -25996*d**2 + 7*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 + (-38)\/6)*-6 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 6*s - 3*v - 56, 2*v - 26 = -3*s. Let l be ((-12)\/10)\/(s\/(-225)). Let r be (3 + l\/(-15))\/(2\/30). Solve -3*i - r = -3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*x + 122*x + 135*x - 577*x + 152*x + 131*x.\nAnswer: 83*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 0*w**2 - w**2 + 2*w - w**2 + 3*w**3. Let s = 130 + -134. Let v(u) = 13*u**3 - 9*u**2 + 9*u. Calculate s*v(l) + 18*m(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.5 in -0.3, -854229, -2\/15, 1, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -f**7\/70 + f**6\/20 + 3*f**5\/20 - f**4\/2 - 2*f**3 - 2*f**2 - 2. Let n(t) be the second derivative of r(t). Factor n(o).\nAnswer: -3*(o - 2)**2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 14. Suppose 9*r + 29 = -16. Let f be 1 + (9 - -6)\/r. What is the nearest to z in -1, f, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349986 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j. Let o(t) = -4550099*t. Determine p(o(a)).\nAnswer: -13650297*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 o, and 1 d when three letters picked without replacement from umodv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 + -20. Suppose 2*c = -4*u + n, -2*u + 9 = 3*u - 2*c. Solve 8*k - u*k = 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*x - 40*x = w + 2, -4*x - 3*w = -4. Which is the fourth biggest value? (a) 0.3 (b) 2\/5 (c) -2\/13 (d) x (e) 2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 9 = 0, -j + 5 = -2*s - 2. Suppose -95*h - 338 = -11*h - 86. What is the closest to -17 in h, s, -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w**(-1\/2)*w*w)\/w)**32\/(w**(-4))**(-30))**(2\/61) assuming w is positive.\nAnswer: w**(-144\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -5*j**2 - 2*j - 2. Let x(c) = 7*c**2 + 3*c + 1. Let m(r) = 3*u(r) + 2*x(r). Let h(b) = 1. Give 9*h(z) + 2*m(z).\nAnswer: -2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 8*v**5\/5 + v**4\/4 + 859*v**2\/2 + 494. What is the second derivative of p(q) wrt q?\nAnswer: 96*q**2 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38897, -77776, -116655, -155534, -194413?\nAnswer: -233292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**3 + 0*d**3 + 13*d**3)*(1 + 2 - 1) + (d + 3*d - 2*d)*(-3*d**2 - 3*d**2 + 2*d**2) + 0*d**2 + 0*d**2 + d**3.\nAnswer: 13*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 + -48. Suppose 5*g - 12 = p*g. Solve -g*x - 5*o = -4*o - 10, 2*o = -x - 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100000101100111000001 + 101?\nAnswer: 1100000101100111000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2421883 divided by 61?\nAnswer: 39703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6159.69km?\nAnswer: 615969000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 195 = -5*z. Suppose -5*y = z + 10, q = 5*y + 670. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -9*i - 1. Let w be g(-1). Let x be (-48)\/64 - 195\/(-4). Suppose -2*m = -x + w. Calculate the lowest common multiple of m and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40430 + 2311?\nAnswer: -33114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 + 2. Let p be l(-4). Let w = 40 - p. Suppose 5*a = 19 - 4. Solve -w = -a*i - 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -3 - (12120\/32)\/(-101))\/((-3)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -258040*v**3 - 52*v**2 - 5*v - 122.\nAnswer: -1548240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 4*q**2 - 6*q + 2. Let g be l(-5). Suppose -2*j + 2*s + g = 1, -21 = 5*j + 4*s. Let w = j + 4. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i**2 + 5*i + 2. Let a(m) be the third derivative of -m**5\/12 - 3*m**4\/8 - m**3\/2 - 8*m**2 + 4*m. Determine -4*a(b) - 7*w(b).\nAnswer: -b**2 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 153 - 12?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -136\/265 + -2269\/4770. What is the common denominator of 103\/20 and y?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 13. Is z at least 2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/15194968 and 8\/17094339.\nAnswer: 136754712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3195 divided by 5?\nAnswer: -639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 - 4*g**2 + g + 4*g**3 - 2*g**3 - g**3. Let x be a(1). Let y be x + 2\/1 + -2. Solve -r + 3*r = y for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*s + 0*s**2 - 2*s**2 - 11*s + 893*s**3 + 1471*s**3 + 21*s to the form r*s**3 + j*s**2 + c + o*s and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 5*z**2 - 5*z + 4. Let p be c(3). Let j = p + -32. List the prime factors of j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0013927382 to 5 dps.\nAnswer: -0.00139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*b - 68*b = -32*b - 7040. Solve 116*u + 18 = b*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 4*r + 5. Suppose -4*h + 5*k + 7 = 0, -2*k - 9 = -5*h + 4. Sort 2, h, r in ascending order.\nAnswer: r, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 6*l - 1. Let r be q(3). Let j be 238*(1188\/2024 + 12\/(-138)). Calculate the greatest common factor of r and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 212 + -122. Does 30 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4628 = -324*j - 32*j for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 261 + -166. Let f be 6\/5 - (-76)\/c. Suppose 3*z - f*z - 25 = 0. Does 25 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**2 + 33*h - 38. Let m(l) = -l**3 + l**2 + 15*l - 5. Let o be m(-4). Determine s(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.41 - 0.01. Let v be (180\/24)\/((-12)\/8). Let w = -2.7 + 3. What is the second smallest value in c, v, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 + -6 + 3 + -7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295192768?\nAnswer: 2, 13, 354799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 9 = -2*w, 5*v + 15 = w - 7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -55*y - 6. Let j be r(-8). Suppose -4*t = -j + 82. Let x be -1*1\/(1\/(-22)). Calculate the greatest common divisor of t and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22169 + -2?\nAnswer: 22167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 20 - (-6 + 9 - 10).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*k)*(k + k**3 - k) + k**4 + 3*k**4 - 2*k**4 + 0*k**4 - 2*k**4 + k**4 + (-2*k + 73 - 73)*(-k**3 - 2*k + 2*k).\nAnswer: 5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4845, 4736, 4629, 4524, 4421, 4320?\n\"Answer: g**2 - 112*g + 4956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 31*w + 67. Let y be d(-2). Suppose -y*g - r - 14460002 = 0, r - 20 = -22. What is g rounded to the nearest 100000?\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2993600 and 360?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21 or -59013\/2?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 8. Let m(u) = 4*u. Let l(t) = -4 + 4 - t. Let y(p) = f*l(p) - 2*m(p). Let a(v) = v**2. Calculate a(y(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 73 + (2 - 10 - -3). Suppose -7*r + h = -58. Solve -3*w = 2*p + 2*p - r, -p = -w - 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - l - 360 = 907, 0 = -2*w - 5*l + 1297. Calculate the greatest common divisor of 212 and w.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179209332.\nAnswer: 2, 3, 89, 55933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -12000100022101?\nAnswer: 12000100022012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3512 is divided by 1191.\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54669*b**5 + 87496*b.\nAnswer: -1093380*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7275\/970*12\/10.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vsqokvqssqq. What is prob of sequence qqoq?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-5 + (-7 - -19)) - -7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -21211 (base 4) to base 6\nAnswer: -2501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = 279*u - 286*u. Let r(w) = -3*w**2 + 65*w - 48. Give r(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5 + (0 + sqrt(11))*5*6 + -3)**2*-3.\nAnswer: -29703 + 180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -4, -1\/2, -5, -4\/211?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 56\/84*(4 - 1). Suppose 0 = -m*r - 4*n + 240, -r + 124 = n + 2*n. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/6)\/4)\/((-40)\/(-96)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (35\/28 + -1)\/(5\/(-2))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t + 60*t**2 - 121*t**2 + 61*t**2 - t + 1421*t**3 - 706*t**3.\nAnswer: 715*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 75207332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(152)*3)\/(sqrt(1152)*-2 + sqrt(1152)) + (((sqrt(76) + sqrt(76)*-1)*-5)\/((sqrt(72)\/sqrt(3))\/sqrt(6)))**2.\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1351 - 1351 + 40*k**2 + 30*k**2 - 65*k**2.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-26)\/12 - (-10)\/4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 11:04 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16047003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -15. What is the greatest common factor of 10 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -4. Suppose u - a*u - 74000 = 0. What is u rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 8*k**2. Let h(w) = -9*w. What is h(u(y))?\nAnswer: -72*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(114)\/(sqrt(12)\/sqrt(2)) - 4*2*sqrt(2736).\nAnswer: -95*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4\/9 (b) -2 (c) 1 (d) 0.2 (e) -35 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**3 - 43029*y**2 - 17839800*y - 1876726608 = 0 for y.\nAnswer: -13919, -212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = 3*m - 63. Suppose 3*n - 2854 = -i, m*n - 4*n + 1899 = -3*i. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + (10260\/162 - 28).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -861.1.\nAnswer: 430.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-2))\/m**(1\/8))**(1\/67)*(m\/m**(-4\/7))\/(m\/m**(3\/2)*m)*(m**1)**(2\/65) assuming m is positive.\nAnswer: m**(264709\/243880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -5*m**2. Let a(j) = j**2. What is 33*a(n) + 6*u(n)?\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 6*v + 4. Let l be k(3). Let p(c) = -c**2. Let u(n) = -n**2 - 3*n**2 + 3*n**2 - 9*n**2. What is l*p(i) + u(i)?\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001100 (base 2) to base 8.\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 31*s**2 + 45*s + 0 - 123*s**2 - 45*s.\nAnswer: -92*s**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003813475 to six dps.\nAnswer: -0.003813","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 621923346 a multiple of 1474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-39)\/3159*27)\/((-41)\/12 + 4).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 v, and 1 z when three letters picked without replacement from {u: 5, z: 6, v: 4}.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1773 is divided by 427.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -10 + 14 - 4 + 3*o. Let w(u) = -6*u**2 - 5*u. Let g(q) = -2*q + 7*q + 4*q + 7*q**2 - 3*q. Let a(h) = -5*g(h) - 6*w(h). Determine b(a(j)).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -11\/38321, 0.2 in ascending order.\nAnswer: -3, -11\/38321, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, y: 7}. Give prob of sequence dddy.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 1, -0.04, 110, -0.1, 59, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25577 - 26777 + 52354 + 10*l**2.\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/6 of a hour?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2\/9, 4.9 in descending order.\nAnswer: 4.9, 4, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2454*y**5 - 35874*y**3 - 51*y**2 - 2095*y + 1?\nAnswer: -147240*y**2 - 215244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, b: 1, k: 1}. Give prob of sequence aaa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -368*m**2*v**3 - 2*m**2*v - 6942*m*v**2 - 23*v**3 wrt v.\nAnswer: -2208*m**2 - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1023223 (base 4) to base 8\nAnswer: 11353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 339792 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 7. What is the third derivative of -4*o**2 - 2*o**3 + 8*o**k - o**2 wrt o?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/36*(-15)\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5168 - -6279. Does 2 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5728 and 20416.\nAnswer: 3654464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*a - 90*a = -6. Let s(d) = -a*d**2 - 5*d**2 + 8*d - 8*d. Let y(j) be the first derivative of j**3\/3 - 1. What is s(y(k))?\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -190, -189, -188?\n\"Answer: z - 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -331, -1108, -3103, -6892, -13051, -22156?\n\"Answer: -96*o**3 - 33*o**2 - 6*o - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -9171\/4 at least as big as -2293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -124.5 - -125. Which is the biggest value? (a) -10 (b) 4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, n: 4}. What is prob of picking 2 n and 2 e?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5719, 5772, 5907, 6166, 6591, 7224?\n\"Answer: 7*d**3 - d**2 + 7*d + 5706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.21 (b) 0.1 (c) -2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 428\/8861 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3 = 5*g + 29, -5*z - 5 = 5*g. Let y(w) = w**2 - 4*w - 5. Let k be y(-3). Let r = 26 - k. Solve r = -z*h + h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10055\/63 - 1083\/7. Let q be 76\/11 + -3 + 0. Let b = -301\/44 - q. Calculate the common denominator of b and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q**6*q)*q)\/(q*q\/q**(1\/4)))\/((q\/q**(-1\/5))\/(q*(q\/q**(-2\/7))\/q)))\/(q\/q**(-6)*q**6)**(7\/4) assuming q is positive.\nAnswer: q**(-2059\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0775 and -312393.\nAnswer: 24210.4575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6596*g - 2320 = 6538*g for g.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 3 - (-10 + 15 + -5)) + -4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**3 + 3*w**2. Let d be 5 - (-9)\/6*-2. Let j(c) = 5*c**d + 4*c**2 - 7*c**2 + 3*c**3 - 4*c**3. What is 7*j(h) - 4*v(h)?\nAnswer: h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 81 + -78. Solve 3*r - 24 = -m*t, -t = -r - 0*t for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.97 + -0.9700069. Round h to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2289571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 706 - 6*g + 695 + 57*g - 1412 + 144*g.\nAnswer: 195*g - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 9*k + 5. Let s be p(-9). Let x be 2\/(-7) + (-1)\/21. Let t be ((-2)\/5)\/((-13)\/(-5)). Which is the nearest to x? (a) t (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 667*t**2 + 244*t**2 - 250*t**2 - 20 + 9.\nAnswer: 661*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 496218a (base 11) in base 7?\nAnswer: 133215641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/(sqrt(18)\/sqrt(2)) - -5*(0 + sqrt(11)) - (sqrt(176)*-5 + sqrt(11))*-6) + -4.\nAnswer: -108*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1111175953 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 13) in base 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 960.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x - 1. Let i(g) = 20*g - 3. Let u(v) = -v**3 + 14*v**2 - 44*v - 9. Let w be u(5). Let o(y) = w*k(y) + i(y). Let t = -4 - -3. Calculate o(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-24)\/(-18))\/(2\/3). Suppose 4*m = r*m + 2. Solve -5*h - 5*n - 4 - m = 0, 2*h = n - 11 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63 - 208 - 199)*(u + 0*u + u).\nAnswer: -688*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/145 and 2\/(-7) + (3 - 799\/70)?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 16) + (-10 - -11 - -18 - 12 - 16)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) -9 (c) -5 (d) -2\/11 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((-6 - 1) + 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -3*h - 18. Let j = h + 119. Calculate the highest common factor of j and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -69 + 0 + (-57 - (-15 - 63)) + 1.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*22\/((-660)\/(-225))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/25 - (-2)\/5. Let r be ((-6)\/(-7))\/((-4)\/28). Let o be w + r + (-1 - -3). Which is smaller: o or -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a**(-27)\/a))*a**(-3\/26)*a*(a\/(a*a*a**(-22)))\/(a*a*a**17))**(-11) assuming a is positive.\nAnswer: a**(7183\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -184 in -0.1, -1\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*a - 68 = 0, 4*a = -48*m + 47*m + 36. Suppose -k = 2*c - 6, -2*c + 4*k + m - 4 = 0. Solve 2*i = c*n - 26, -3*n + 2*i + 30 = -3*i for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.3188 plus -0.5?\nAnswer: 44.8188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0304325 weeks to milliseconds.\nAnswer: 18405576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -410446 + 427567.9. What is o rounded to the nearest 100?\nAnswer: 17100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 1232 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3342 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 198289494842 less than 26.03?\nAnswer: -198289494815.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 22, 3\/37, 2, 2.065?\nAnswer: 2.065","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 121*w**3 + 5179*w**2 - 29*w - 25. Let o(c) = -29*c**3 - 1294*c**2 + 7*c + 6. Determine 6*l(p) + 25*o(p).\nAnswer: p**3 - 1276*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77\/765 - -46\/153. Which is the second biggest value? (a) j (b) 1\/24 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*b**4*h**2*n**2 + 1033*b**4*n**3 + 2*b**2*h**2 - b**2*h*n**3 + 1542*b*h**2*n**3 wrt b.\nAnswer: 96*b*h**2*n**2 + 24792*b*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**4 - 2651*f**2 - 6*f**3 + 2648*f**2 + 2*f**4.\nAnswer: -3*f**2*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 63.306 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7715, -16099, -25149, -34865, -45247?\nAnswer: -56295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 12. Let w = -2\/51 - 41\/255. Let m(z) = -z - 4. Let q be m(-5). Which is the closest to q? (a) w (b) -4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -4\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*j + 7. Let m(y) = -5*y + 0*y + j*y - 7*y. Let f(p) = 2*p. What is m(f(d))?\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -2 (c) -0.097646278\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 4*b + 1. Let z be g(-3). Let x = z - -1. Let w = 87\/7 - 12. Put x, 0.4, w in descending order.\nAnswer: w, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 9 + 0 = 0. Let c be 1\/2 - 6\/(-4). Suppose -c*q - j*q = -65. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-2\/7)*c)**(-25))**(2\/5))**(10\/13) assuming c is positive.\nAnswer: c**(-500\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 12 = -3*f. Suppose 0 = -5*p + f*c - 7 - 3, 0 = -5*p + c - 10. Let g be 5\/(-60) + p\/8. What is the biggest value in -5, g, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 250 + -182. Calculate the remainder when x is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0\/q)**10\/(q*q**(-2\/5))**34)\/((q**(2\/7))**2)**33 assuming q is positive.\nAnswer: q**(-1724\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 2:12 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*k**3 + k**4 - 18*k**3 + 8*k - k**2 - 7 + 49*k**3 - 19*k**3 to a*k**2 + f*k + d + z*k**4 + q*k**3 and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38635*o + 19359*o + 8 - 21 + 13 + 19303*o.\nAnswer: 27*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 9*h**2 - 9*h - 22. Let o be w(10). Let p(q) = -6*q + 11. What is the units digit of p(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/((-4550)\/(-5635)) + ((-9)\/(-3) - -9)\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {y: 4, w: 6}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilogram in milligrams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-256)\/320)\/((-296)\/(-20)).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 196298662 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.77 + 25.23. Let k = 27.5 - t. What is the second smallest value in -4, -0.09, 2\/3, k?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 347?\nAnswer: -4\/347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1554.7 - 1554.0622. What is q rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 11*v - 13. Let j be ((-4)\/10)\/(1\/(-30)). Let r be c(j). Let m be -1 - 1 - (r + -141). What is the highest common divisor of m and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2809544 and 27416?\nAnswer: 1192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 178*t*u - 7168317*t - 25*u**2 - 474*u wrt u?\nAnswer: 178*t - 50*u - 474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13619?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 907 a factor of 164045462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - u = 7, 0 = i + 4*u - 7 - 15. Suppose 5*o + 0*o - 15 = 0. Suppose 0 = o*w - 7*w. Solve 0 = 5*g + i - w for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001471407 to 7 decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 10*a**3 - 339*a**2 - 151*a + 4024. Determine l(34).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 746 + -578. Calculate the remainder when ((k\/70)\/(4\/510))\/2 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4 - 0. Let u = 18215\/2562 - 7\/183. What is the common denominator of u and (123\/(-24))\/((-10)\/c)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*3*(3 + sqrt(847) + (-4*sqrt(847) - sqrt(847)) + sqrt(847) + sqrt(847) + sqrt(847) + -3 + 1))**2.\nAnswer: -198*sqrt(7) + 7632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/8, -7\/3, 0.6 in decreasing order.\nAnswer: 4, 0.6, -1\/8, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 18. Let p = -2015 + 2019. What is the least common multiple of p and u(0)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2179048 to the nearest integer?\nAnswer: 1476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 27*a**2 + 12*a - 89. Let r be g(-26). Calculate the greatest common factor of r and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 6*h - 3*h - 2*h + 2*h**2 - 2*h**3 + 1. Let b be w(2). Let l(s) = 22*s + 20*s - 41*s + 5. Calculate l(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/17 + 16*s**2\/17 - 22*s\/17 - 40\/17.\nAnswer: -2*(s - 5)*(s - 4)*(s + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.5 + 0.5. Let a = -0.1 + 0.1. Sort a, -1\/2, u in ascending order.\nAnswer: -1\/2, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14573 by 19.\nAnswer: -767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 9:45 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25225.9986 - 25215. Let v = b + -11. What is v rounded to four decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-133)\/(-35) - 1)\/(6\/15).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(-6)*(540\/(-50) + 9). Calculate the highest common divisor of m and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*x - 65 = -72*x. What is the remainder when 38 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.408 and -17191953474.\nAnswer: -17191953474.408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 242\/5 - 2\/5. Calculate the greatest common factor of 16 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**6\/(w\/(((w*w\/(w**6\/w))\/w)\/w))*(w*w**(-1\/4))**18)\/((w**(-4)*w*w*w)\/(w\/((w**(-4\/7)*w)\/w))*w**(1\/4)\/w*w**(-5)*w) assuming w is positive.\nAnswer: w**(583\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2586 + 2014 + 2075 - 2*u.\nAnswer: -2*u + 1503","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52647 * -183.\nAnswer: 9634401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**3 - o**3 - o**3 + (3*o**2 - 4*o**2 + 0*o**2)*(2*o + 0*o - o) - 2*o + 2*o + o**3 + (0 + o + 0)*(3*o + 6*o**2 - 3*o).\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 8*u + 216. Let s be j(9). Suppose 3*q + s = 10*q. Solve 10*n - q = 7*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, 1, -1\/161, -3?\nAnswer: -1\/161","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.8 + 3. Let c = -29 - -29.09. Let s = c - -2.91. What is the nearest to 2 in a, 2\/19, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 - 129. Let h = 56.514 + -56.114. Which is the third biggest value? (a) f (b) -0.1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2441 = 52*o - 2499. Calculate the greatest common factor of 3401 and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**5\/7 + 12*h**4\/7 - 40*h**3\/7 - 60*h**2\/7 + 38*h\/7 + 48\/7 = 0. Calculate h.\nAnswer: -8, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + i + 9. Let k be r(0). Calculate the highest common factor of k and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -4*i**2 - 36*i + 22. Let c(a) = 5*a**2 + 40*a - 19. Determine 6*c(u) + 7*y(u).\nAnswer: 2*u**2 - 12*u + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/677932 and 14.\nAnswer: 677932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 5:06 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -40*g**3 + 8*g + 8. What is the lowest common multiple of r(-1) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**5\/5 - 104*n**4\/5 - 546*n**3\/5 + 316*n**2\/5 + 1864*n\/5 + 1104\/5 = 0.\nAnswer: -46, -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 11*c. Let n(h) = 12*h**2 - 5*h**2 - 4*h**2. Calculate n(s(d)).\nAnswer: 363*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 1\/2 (c) 97\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 0 = 2*d + m, 5*d + 1 = m. Is -5*(3640\/(-25) + d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-6) + (-1835)\/30. Let x = 66 + m. Suppose -w + 316 = 4*z, -x*w = z - 0*z - 60. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.38 (b) 0.0378 (c) 0.3 (d) -5 (e) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 81 + a**3 + a - 159 + a**4 - a**3 + 61 to i*a**2 + u + q*a + y*a**4 + x*a**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -101010 (base 2) in base 12?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -j**6\/3 - j**5\/5 - 17*j**4\/2 + j**2 + 526*j. Find the third derivative of v(f) wrt f.\nAnswer: -240*f - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -2. Let i(t) = 1 + 2*t - 2 - 11*t**2 + 6*t**j. Determine i(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(1250)*-5 + sqrt(50) - (sqrt(288) + 1 - 3*-1*sqrt(2))*-4.\nAnswer: -60*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-11 + -45))\/((-2)\/16*5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 13*b - 17. Let w be o(7). Suppose w*u - 21*u = 16. Solve 3*k + l + 3 = -2*l, -u*k - 2*l = 10 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1 + 34 + 6 - 32*o**4 wrt o.\nAnswer: -128*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d + 0*d + 4*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285798?\nAnswer: 2, 3, 19, 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - j - 3*j + 11*j)*(0 + 4 - 6)*(19*j**2 + 79*j - 79*j).\nAnswer: -266*j**3 - 76*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2290, 3660, 5018, 6358, 7674?\n\"Answer: -v**3 + 1377*v + 914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3102 + 223022?\nAnswer: 215520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -253, -1\/4, 20, -1909, 0.4 in increasing order.\nAnswer: -1909, -253, -1\/4, 0.4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 3*f - 255, f + 1341020 = 3*q + 1341210 for q.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = -46*y - 143 - 244 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*(-11 + (-13923)\/(-2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 485463*v**4 + 19*v**2 + 727020 wrt v?\nAnswer: 1941852*v**3 + 38*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqqqqqqqa. What is prob of picking 4 q?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wzzzwwzwzwwww. What is prob of sequence zz?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*b + 0*b - 3*b)*(-4 - 2*b + 4) + (-232*b + 87*b + 69*b)*(2*b + 0*b - 4*b))*(-2*b + 2*b - 2*b) to w*b**2 + s + o*b + h*b**3 and give h.\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31930 and 3502?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v + 16*v + 13*v - 12*v + 3*v in the form t + a*v and give a.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnnnnnnunnnnn. What is prob of sequence un?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3\/7, -0.1, -2, -106.6, 0.1 in decreasing order.\nAnswer: 3\/7, 0.1, 0, -0.1, -2, -106.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(32\/36)\/8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 1, -26, -73, -146, -251, -394, -581?\nAnswer: -818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9, -4\/11, 5, -70, -5, 0.1?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 413799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and 3.37.\nAnswer: 0.1011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 104243 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22244.96 + 22245. Which is smaller: 187\/3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6255924?\nAnswer: 2, 3, 31, 67, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1067.2133174 take away 2?\nAnswer: -1069.2133174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*f - f + 0*f)*(f**2 - f + f) + 2*f**3 + 0*f**3 + f**3)*(0*f + f + f).\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 5*g - 5316, -2*h = -h + 3*g - 1329. Suppose z + 123 = 3*n - 688, 4*z - h = -5*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -250*f**2 + 850*f**2 + 206*f**2 + 931*f**2 + 580*f**2 in the form w + u*f + m*f**2 and give m.\nAnswer: 2317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 + 16*w**2 + w**2)*(10 - 32*w + 7*w + 15*w).\nAnswer: -140*w**3 + 140*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/4575 and 103\/140280.\nAnswer: 42785400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 12:02 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.6999955 - 0.7. Round a to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116480 is divided by 6130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 462 divide 5732285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54434.\nAnswer: 2, 17, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2526983\/986 or 2562?\nAnswer: 2562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -327 by -1459.\nAnswer: 327\/1459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*q = -63*q - 4. Suppose 0 = -2*v + 300 - q. List the prime factors of v.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -828*h**5 + 17*h**3*u - 3*h**3 - h*u - h + u - 28193 wrt h?\nAnswer: -16560*h**3 + 102*h*u - 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 5*b**2 + 5*b. Let x be s(-4). Let n be x\/10 - (-48)\/20. Solve -5 = n*p - 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*n**3 + 18672*n**2 - 62622720*n\/7 + 5907100672\/7.\nAnswer: 4*(n + 1012)*(7*n - 1208)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 10:12 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/3*-18*(-3)\/(-6). Calculate the smallest common multiple of ((-50)\/8)\/(z\/(-60)) and 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.053 minus -5646?\nAnswer: 5645.947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cckk. Give prob of sequence kkkk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + ((-104)\/(-28) - (-4)\/14). Calculate the common denominator of (1 - v) + (-669)\/(-486) and 58\/9.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194769 = -28*r + 9*r. Suppose 6*y = r + 6915. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/140 - (-14)\/20.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 7*v + 5. Let b(h) be the third derivative of -h**4\/6 - h**3\/2 + 17*h**2. Let p(x) = 5*b(x) + 3*j(x). Let k(m) = -m. Determine k(p(l)).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 2 (b) 2.69 (c) -137 (d) -1\/2 (e) 0 (f) 6 (g) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227 + 3 = 32*a. Suppose r = 3, 3*r - 13 - 8 = -4*k. Let c(w) = -k - w - 4 - 3. Give c(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15587 and 7556263.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -7*z + 17. Let x be c(-4). Let m(f) = -41*f**2 - x*f**2 + 80*f**2. Let b(r) = 2*r**2. Calculate 14*b(p) + 5*m(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2261744?\nAnswer: 2, 141359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10995.33 + -0.3?\nAnswer: -10995.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9985 + -9561. What is the greatest common divisor of y and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 7*z + 12 = 0. Let s(c) = -13*c**2 + 4*c + 1. Let b(p) = 12*p**2 - 3*p - 1. Let g(t) = z*s(t) + 4*b(t). Is 5 a factor of g(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 597834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 33, 32, 33, 36?\n\"Answer: r**2 - 4*r + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 128479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003314442 to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(5)*-1 + 0 + -1*(sqrt(30)\/sqrt(6) + sqrt(5))).\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -13*o**3 - 1471*o**2 - 684*o - 51777. Determine b(-113).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 771912 is divided by 745?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1730 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/2)\/(4\/(-8)). Let q be x*4\/(-2) - (56 + -431). What is the greatest common divisor of 29 and q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/27 - 22\/(-18). Let u be (1 + 1 + 1)\/d. Suppose w + 1 = p, -4*w - 7*p + 20 = -u*p. Solve 5*q - w*k - 19 = -0*k, 5*k - 5 = 2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13385.9933685 + 13386. What is l rounded to 4 decimal places?\nAnswer: 0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.6 times -0.2?\nAnswer: 1.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 324453 and 2449.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/5598 and 33\/181624.\nAnswer: 1634616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2140 divided by -225?\nAnswer: -428\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9403 + 9414. Calculate the remainder when 263 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**2 - 6 - 2*h**3 + 3 - 3*h**2 + 3*h**2 in the form c*h**3 + s + v*h**2 + o*h and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from clcgg. What is prob of picking 2 g and 2 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 1215359439 and -288956.\nAnswer: 1215070483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 12208000 to the nearest 100000.\nAnswer: 12200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -438*t**3 + 5*t + 5. Is g(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -845049 and 0.95.\nAnswer: -845048.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1041678 and 1254.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d - 11 - 13*d + 3*d**2 - 2*d**2 - d. Let j be p(14). Suppose j*h = -4*m + 5, m = -m + h - 5. Which is smaller: m or -5\/6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 3*r**2 + 10*r + 22. Is q(-7) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + b + 121, b + 49 = -2*v + 4*v. Let r = v - 12. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 3 + 3)*(11665 - 5199 - 5039).\nAnswer: 1427*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 652\/3912 + (-788)\/(-24).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/((-3)\/2))\/(-5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -85, -366, -833, -1480, -2301?\n\"Answer: w**3 - 99*w**2 + 9*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9406 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 2*o**2 + 7*o - 23. Calculate l(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*f + 5*p, 5*f = -37*p + 41*p + 28. Which is the closest to -1\/8? (a) 0.3 (b) f (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 827 and 79803019.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.3, -0.02, 2\/3, -12, 3.7?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*(sqrt(170)*1 + sqrt(170) - sqrt(170)) - sqrt(170)) + -6*3*sqrt(170))\/(-4*-2*sqrt(1440)*1) + -4)**2.\nAnswer: 23*sqrt(17)\/12 + 156449\/9216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8270 + 8272. Sort 0, z, -74.\nAnswer: -74, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 11*b**3 - 3*b**2 + 3*b - 2. Let x be n(2). Suppose -5*q + x = -0*q. Is q a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u - 2*u - 3*u. Let z(r) = -9*r**2. Let q(k) = -k - 10. Let b be q(-3). Let s(m) = 19*m**2. Let n(y) = b*z(y) - 3*s(y). What is x(n(a))?\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 642673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -230923 (c) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**5 + 101*g**2 - 101*g**2 + (-2*g**3 + 1 - 1)*(4*g - g - 2*g)*(3*g - 3*g + 5*g + (3 + 1 - 1)*(0 + 0 + g) + (-5 + 4 + 3)*(0*g + g + 0*g)).\nAnswer: -18*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3502*d + d**2 + 82*d + 0*d**2 - 2033*d to x*d**2 + q + t*d and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*sqrt(112)*5 + 3*(sqrt(112) + 4 - sqrt(112)))**2*-6.\nAnswer: -17664 - 2880*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 3178263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(104)\/((sqrt(128) - 1*sqrt(128) - sqrt(8) - sqrt(8)) + sqrt(8)))**2 + (sqrt(52)\/sqrt(4) + 5 + -1 + sqrt(468))**2.\nAnswer: 56*sqrt(13) + 669","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.76 - 5. Let o = w - 0.06. What is the smallest value in -0.4, o, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - h + (5 - 1 - 2)*(-h - 4*h + 2*h) + 3*h - 2*h + h.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -242*r**2 - 85*r - 278*r + 239*r**2 - 98*r to g*r + d + i*r**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -5, 21300, -1\/2 in ascending order.\nAnswer: -5, -1\/2, 2\/3, 21300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60298 is divided by 15068?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 916, 3823, 8626, 15331, 23944, 34471, 46918, 61291?\n\"Answer: c**3 + 942*c**2 + 74*c - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of 0*x + 3 + 154\/3*x**3 - 85\/12*x**4 - 6*x**2. What is the first derivative of n(h) wrt h?\nAnswer: -170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j + 20. Let r be q(6). Let u = -12 + r. Factor -8*n + 0 + 1 + 2*n**u + 2 + 5.\nAnswer: 2*(n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(6\/23))**9\/(v*v\/(v*v**24)*v*v**(-1\/12)))**(-3\/20) assuming v is positive.\nAnswer: v**(-6743\/1840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -16*m + 1. Let q(g) be the third derivative of -g**4\/24 - 6*g**2. Let l(s) = -p(s) + 3*q(s). What is the derivative of l(a) wrt a?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 6, -66, -320?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -168 + 169. Suppose 5 = 2*v + t, 0 = -5*w - 5*v + 1135. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -520*j**2 - 16419*j + 7081. What is p(-32)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 9:20 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 436, 1128, 2292, 4150, 6924, 10836, 16108, 22962?\n\"Answer: 37*y**3 + 14*y**2 + 391*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**3 - 7*u**2 + 22*u + 1. Let a be (2 - 9)\/(3*1\/3). List the prime factors of o(a).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35214 + 35214. Which is the nearest to o? (a) -2 (b) -0.3 (c) 3\/8 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 6*q - 1. Suppose f = 6*f + 35. What is the remainder when 5\/(5\/18) - 1 is divided by b(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10241472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -313 = -10*n + 287. Suppose 18*p = -12*p + n. Solve p*r + 22 = 16 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-279 + 279 - 151*q)*(4 - 5 + 2*q - 2)*((5 - 6 + 0)*(4 + 2 - 4) - 2 - 2 + 2 + 4 + 0 - 13) as h + x*q + i*q**2 and give x.\nAnswer: -5889","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -6238*(2 + 10\/(-8)*2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**2 - 5 + 5 + (3 + 1 - 2)*(-4*r**2 - r**2 + 3*r**2) + 4*r**2 - 3*r**2 - 3*r**2 + (0 + 0 - r**2)*(-3 + 1 + 0) + 5*r**2 - 2*r**2 - 4*r**2.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**4\/16 - 3*m**2\/8 + 17*m. Let a(z) = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 11:02 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 205758 - 205767.10078. Let s = z + 9.1. What is s rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -75 (b) 796 (c) -0.5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1456 a factor of 246775984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 t, and 1 e when three letters picked without replacement from {j: 1, t: 2, r: 5, e: 1, f: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + -6. Let g(r) = r**2 - 12. What is the tens digit of g(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-51750)\/(-55) + 48\/44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -567*v - 608 = -263*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 47, 93, 139, 185, 231?\n\"Answer: 46*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8400\/(-434))\/(-10) + (-2)\/(-31)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1328163 less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 646056871?\nAnswer: 14827, 43573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**5 + 684*t**4\/5 - 6776*t**3\/5 + 15636*t**2\/5 + 2394*t = 0. What is t?\nAnswer: -3\/5, 0, 5, 7, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v**2 + 4*v - 7. Let u(x) be the first derivative of 4*x**3\/3 + 3*x**2\/2 - 8*x - 33. Calculate -3*k(i) + 4*u(i).\nAnswer: i**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - (3 - 3)) + 1. Suppose -2*v - v + 12 = p. What is the second derivative of -2*c**4 - v*c**2 - 4*c**4 - 4*c + 4*c**2 wrt c?\nAnswer: -72*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 95521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 157 = 5*b + 34, 1 = -k. Suppose -2*j + b = -q, 61 = 7*j - 2*j - 3*q. Let l = -47 - -55. What is the least common multiple of l and j?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - c**2 + 2. Let r(k) = 552*k**3 - 4*k**2 - 2*k + 10. Calculate -5*p(t) + r(t).\nAnswer: 557*t**3 + t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a week in hours?\nAnswer: 1428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, -93, -269, -525, -867, -1301, -1833, -2469?\nAnswer: -3215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllloool. Give prob of picking 2 o.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1820 by 70.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 d when two letters picked without replacement from ppddzppzyzzzzvpipd?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*m + 68 - 68)*(-m**2 + 20*m**2 - 4*m**2).\nAnswer: 465*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56\/3 - -2290\/123. Which is the nearest to 0? (a) -0.4 (b) 0.3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8478996749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - 2. Let g be (-103 - 2)*n\/9. Is 10\/g - 320\/(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6804923 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)*-2*-6 + sqrt(28)\/sqrt(2)*6)\/((sqrt(18)\/sqrt(3))\/sqrt(3) + ((sqrt(24)*2)\/sqrt(12) - sqrt(2) - sqrt(2))).\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*166\/4*6\/3. Let i = 239 - a. List the prime factors of i.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*sqrt(2057) + sqrt(2057) + sqrt(2057) + (sqrt(2057) - (-4 + sqrt(2057)*1 - sqrt(2057))))**2.\nAnswer: -88*sqrt(17) + 32913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 886787135?\nAnswer: 5, 13, 13642879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -625 - -627. Let w(r) = -9*r - 4*r**2 + 5*r + 2 + 3*r**k. What is w(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -4. What is the common denominator of 73\/6 and (-52)\/p*4\/56?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246776.92 rounded to the nearest 100?\nAnswer: 246800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -386, -2864, -9814, -23558, -46418, -80716, -128774, -192914?\nAnswer: -275458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 6*b - 4*b. Let i be ((0 + 0)\/b)\/(-1). Solve -3 = -i*g + g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44163 at least as big as -101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -75 - -135. Suppose -2*h = h + 5*s - t, -4*h + 80 = -5*s. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 23 = 13. Suppose z*x - 354 = -p - 31, -178 = -x + 5*p. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, i: 3}. Give prob of picking 1 i and 2 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1089)*-1*-5)\/(sqrt(147)*2 - (sqrt(3) - sqrt(3)*-3*-6))*3.\nAnswer: 660*sqrt(3)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -9 + -1 - -7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -54, -114, -174?\n\"Answer: -60*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3393, -6793, -10195, -13599?\n\"Answer: -r**2 - 3397*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4\/3 + 4*z**3\/3 + 38*z**2\/3 - 40*z\/3.\nAnswer: -2*z*(z - 5)*(z - 1)*(z + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h + 743. Let g(z) = -16*z + 3710. Determine 4*g(v) - 22*r(v).\nAnswer: 2*v - 1506","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111 (base 2) in base 15?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 326*f + 2. Let r(x) = 490*x + 3. Determine 7*i(v) - 5*r(v).\nAnswer: -168*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45024312 and 132?\nAnswer: 495267432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*m + 23*m + 21*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 4*v = 22 - 20, -3*v = -5*t + 31 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32 - (-19 + 19)) + 41 - 136?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276693 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*z = 175*z + 3294 + 108 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5*y = 33, -5*d + 55 = 5*y - 2*y. Suppose 0 = 3*z - 5*i - 37, 0*z = 4*z + i - d. Solve -5 - z = 3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (4*-1 + 0 + 1). Suppose -415 = -i*k - k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 1 + (1 - 2 + 2)*(-8 - 13 + 17) + (3 + 5 + 0)*(2 - 4 + 0 + (1 + 0 + 1)*(0 + 2 + 0)))*(0*s - 3*s + 5*s) to n + f*s and give f.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1049769 rounded to the nearest one thousand?\nAnswer: 1050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98239304?\nAnswer: 2, 977, 12569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 0*u + 7*u)*(-4 - 32 - 30)*(-u + 3 + 1 - 3).\nAnswer: 396*u**2 - 396*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/3 - 71762*l - 430568\/3.\nAnswer: -(l + 2)*(l + 215284)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 5\/6, -2\/5, -5?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -105*g + 44*g + 61. What is the closest to g in -1\/4, 0.2, 5\/2, 16?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 7*h + 1. Let q(b) = b**2 - 4*b - 12. Let l be q(-4). Suppose d + l = 5*d. Determine w(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253*g**2 + 9*g**2 - 239*g**2 - 18*g**2 + 21*g**2.\nAnswer: -480*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 91\/(-21) + (-3 - (-416)\/6). Solve -10*l = -15 + u for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7, 23, 63, 139, 263?\n\"Answer: 2*x**3 + 2*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -20\/7*l - 2\/7 - 34\/7*l**2 - 16\/7*l**3 = 0.\nAnswer: -1, -1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -1 - 2 + 3*j + 5. Let q be y(-4). Round q to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (356\/8)\/(1\/2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(220\/8)*(-149)\/(5811\/(-312))?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8362, 34113, 77250, 137773, 215682, 310977?\n\"Answer: 8693*q**2 - 328*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 672 = -110*a + 117*a. 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: (2*(4*15\/24)\/(140\/476))\/1\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -235, -484, -829, -1276?\nAnswer: -1831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qmqqsqmmssssss. What is prob of picking 2 s and 2 q?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 5, a: 12, f: 2}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3336934, -6673779, -10010640, -13347523, -16684434, -20021379, -23358364, -26695395?\nAnswer: -30032478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5176 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: Solve 2*s + 112 = -9*w, w - 2*s + 52 = 25 + 19 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 175485 take away 165020267?\nAnswer: -164844782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 411 - 91. Let p = k - -904. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22728 divided by 24?\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4625\/3 or -1541?\nAnswer: -4625\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 273*o + 104. Let c(f) = 13*f + 5. Determine 104*c(j) - 5*m(j).\nAnswer: -13*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -75.6 to the nearest integer.\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86 + 43 + 10*f + 43.\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -74*y + 80*y - 12 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5963164090.\nAnswer: 2, 5, 13, 53, 865481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49567080 and 6195885?\nAnswer: 49567080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2118039 is divided by 235335?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 29. Let d = -12 + w. Find the first derivative of 2*s**3 + 5 - 2 + 0*s**d wrt s.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9cf38 - -5?\nAnswer: 9cf3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/4, 0.5, 4, 27510, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millimeter in nanometers?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 67\/(-335) - (7\/15)\/(1\/(-249)). Solve 47*w - j = 18*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*p**4 - 16*p**4 - p**3 - p**2 + 2*p + 39*p**4 to q*p**3 + a*p + f*p**4 + y*p**2 + u and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -5*b - 59765, -14070 = -4*b + 4*q - 61930. Round b to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 255 + 221314?\nAnswer: 222013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36021 is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 z when three letters picked without replacement from {f: 4, z: 16}?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68*j**3 - j**2 - 24*j wrt j.\nAnswer: -408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.8351525 to 3 decimal places.\nAnswer: -31.835","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 h when two letters picked without replacement from {u: 1, s: 2, t: 1, f: 4, h: 7}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-10 - -103)) + -1 - (17 + -10 - 9)\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 + 3*y**2 - 3*y**3)*(-2 + 0 + 1) + 157*y**3 + 214*y**3 - 283*y**3.\nAnswer: 91*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 10*n**2 - 31*n + 1500. Let k(p) = -6*p**2 + 37*p - 1499. Let l(i) = 6*k(i) + 7*m(i). Differentiate l(z) with respect to z.\nAnswer: 68*z + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 69272 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 90747.9*0.2\nAnswer: 18149.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -1, -150\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 669586305 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 78742679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (1*sqrt(15) - sqrt(15))\/sqrt(5) - 2*sqrt(75))**2.\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 85, 91, 107, 139, 193, 275?\n\"Answer: n**3 - n**2 + 2*n + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9493584.49 and -3078.\nAnswer: -9496662.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3328 divided by 16\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + h - 2, f = 5*h + 2 - 0. Let d be f + (-52)\/(6\/(-3)). Calculate the greatest common divisor of d and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1148 and 70?\nAnswer: 5740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4197 + 20987\/5. Find w, given that u + 2\/5*w**2 + 4\/5*w = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1085.83 take away 4?\nAnswer: 1081.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**7\/630 - i**5\/60 - i**4\/3 + 3*i. Let c(k) be the third derivative of h(k). Differentiate c(j) with respect to j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-6*(sqrt(175)*2*-1 + 4)*-6*-2*1.\nAnswer: -1152 + 2880*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 + 643 - 349 - 294.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8250 a multiple of 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -236*k**2*q + 2*k*q**3 - k*q**2*y**2 - 127*q**3 + 2*y**2 wrt k?\nAnswer: -472*k*q + 2*q**3 - q**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*4\/8)\/(90\/(-27)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1865242?\nAnswer: 2, 47, 19843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*1 + 10\/6. Let k = 23 + -18. Sort u, k, 0.3 in increasing order.\nAnswer: u, 0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*h - 6. Find the first derivative of -h*c - 2 - 2 + 4 + 6 wrt c.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7330655 is divided by 4262.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -101 + 96 - k**3 - 15*k**4 + 5*k + 2*k**3 wrt k?\nAnswer: -180*k**2 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 674 + -496. Let n = -181 + d. Which is the nearest to 0? (a) n (b) 13 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 548.2 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346*n - 447*n = -156*n + 239*n + 105120 for n.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9312*15\nAnswer: 139680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-9\/5)*q**(-12\/7))**(1\/22))**(7\/3) assuming q is positive.\nAnswer: q**(-4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90798?\nAnswer: 2, 3, 37, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of w**5 + 7691*w**2 + 5357*w?\nAnswer: 20*w**3 + 15382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 30*i + 32*i = 18, -4*t + 3*i + 61 = 0. Let b(s) = 5*s**3 - 82*s**2 + 31*s + 20. Let r be b(t). Determine z, given that -r - 2\/3*z + 2\/3*z**2 = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.078 and -5.\nAnswer: 0.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 30*u + 3. Let n be a(-30). Let f(k) be the second derivative of k - 1\/6*k**n - 1\/2*k**2 + 1\/12*k**4 + 0. Determine f(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 5*o**2 + 6*o - 4. Give u(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3.3*-0.00315\nAnswer: 0.010395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/3 of a day?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 4*n - 7, n = -3*j + 3 + 3. Suppose -4*w - n*a = -w - 6, w - 20 = 5*a. Suppose -c + 5*r = w, 3*r - 59 = -5*c - 0*c. Is c a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k**2 - 4*k**2 + k**2)*(-2*k - 4 + 0 + 3)*(6 - 3 - 4 + k) to f*k + y*k**3 + a*k**2 + z*k**4 + v and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.37961 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ca when two letters picked without replacement from ckcackakk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1323 divided by -250.\nAnswer: 1323\/250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/142 or -1?\nAnswer: 5\/142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w + 1496*w + 576*w - 189152 = 0 for w.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10440921?\nAnswer: 3, 1567, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28127*j**5 + 11*j**2 - 4*j + 426.\nAnswer: 1687620*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 125102171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 202381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11144 and 3696?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 206300 and 2340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-9)*27\/9. Suppose -32 = -3*g - 140. Let p = g + 63. Solve -l*i - 17 = 5*t, -i = -8*t + 3*t - p for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - j - 364 = 4*s, -3*j - 2*s + 522 = 0. Suppose -j = -5*d + d. Is d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6365 divided by -67?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -519*r**2\/5 - 1074*r\/5 - 72\/5 = 0.\nAnswer: -2, -12\/173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 7*h + 8. Let g be m(-2). Sort g, 3, -5, 6.\nAnswer: g, -5, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15b471 - -1a2?\nAnswer: -15b2ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-88)\/(-6) - -1) + (-12)\/(-36). Put 1, n, -6 in descending order.\nAnswer: n, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236861 is divided by 471?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 10 = -0*h, 3*h = -5*l + 450. Calculate the remainder when l is divided by -12 + 246\/9 - 8\/(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -67, -92, -117?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 3 = -y. Let v be (1\/3)\/((-46)\/(-1242)). Let u = y + v. Calculate the remainder when 37 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1097*s*t**4 + 2*s*t**2 - 8681*s*t - 2*t**2 wrt t.\nAnswer: -13164*s*t**2 + 4*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.2953 (b) -9 (c) 0.0122\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.960224*7.\nAnswer: -6.721568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r - 101 = -155 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8255 rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 5. Suppose 0*c + 4*z = 3*c - 1, -3*c + 5*z - 1 = 0. Suppose -18*j + c*j = -135. Let m(t) = -t**2 - 20. Determine j*v(s) + 2*m(s).\nAnswer: -2*s**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-392)\/(-144)*16\/168*(-12)\/2\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291 + 219 = 36*u + 6 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -50 + 446?\nAnswer: 3b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 18*r - 684250 = -24*r. What are the prime factors of r?\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + h - 5*i = -19, -29 = -2*h - 5*i. Let n(j) = -2*j**3 + 2 - j**2 - 3*j**2 + 0*j + h*j - 3*j. List the prime factors of n(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 3)*(-4 + 4 - 1)*(2*f - 2*f - f - f + 1 - 1 + (-f + 0*f - f)*(4 - 8 - 22)).\nAnswer: -200*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (1 - 2)) + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 1264*k - 1275*k. Let l(w) be the second derivative of -25\/24*w**3 + 5\/4*w**2 + 5\/12*w**k + 0 - w - 1\/16*w**5. Find d such that l(d) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367638 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: Suppose -4*p - 68 = -116. Solve -15 = -15*z + p*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -18. Let b(c) = 2*c**3 + c**2 - c. Let q be b(1). What is the third derivative of j**4 - x*j**2 - 2*j**4 + 5*j**q wrt j?\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n = -28389 + 4209. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.27 - 1.53. Round f to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -943 and -40?\nAnswer: 903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**8\/18144 + n**7\/11340 - n**5\/15 + 3*n**2. Let v(c) be the third derivative of r(c). Factor v(d).\nAnswer: 2*d*(5*d + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*s + 3877 = -1731 + 1093 for s.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2, 0 = -3*q + 5*y - 1 - 3. Let t be (q\/6 - -3)*-2. Let b be ((-84)\/49 - 4\/14)\/((-80)\/30). Sort b, t, -0.3, -7\/6 in decreasing order.\nAnswer: b, -0.3, -7\/6, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3102\/55)\/(2\/5) - 0. Suppose v = 3*d + 36. What is the remainder when 68 is divided by d?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 + 1554*g + 79200.\nAnswer: -2*(g - 825)*(g + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.43311808 and 0.\nAnswer: -0.43311808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/(28\/7) - 2\/((-12)\/(-18)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60007 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*70\/(-160)*-4?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 92082517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2. Let v(z) be the first derivative of z**5\/30 + z**2\/2 - 3. Let l(o) be the second derivative of v(o). What is r(l(x))?\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 252952\/92313 - -2\/3419. Calculate the common denominator of -89\/6 and n.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r - 2. Suppose 0 = 3*q + 5*q. Determine m(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6*k**2 - 4*k - 97. Let h(n) = -n - 1. Determine -b(j) + 4*h(j).\nAnswer: -6*j**2 + 93","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -5*w**2 - 162*w - 1257. What is i(-20)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/199348 and 111\/176.\nAnswer: 8771312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2925*f + 181 = 2929*f + 3*g, -f + 2*g - 93 = 24*f - 1162 for f.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 94081 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: Let s = 17070 - 16815. Calculate the remainder when 1771 is divided by s.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 12*l + 25. Let u be o(-5). Let k = 53 - 38. List the prime factors of k\/u*(-36)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (75 - 16) + -15 - (4 + -4).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 14*t**2. Suppose 0 = -8*a + a + 28. Let k(w) = -12*w - a*w + 23*w - 5*w. What is v(k(g))?\nAnswer: 56*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12722573 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 10*p**2 - 9*p - 14. Suppose -5*h = -4*h - 11. Let k be o(h). Let v = k - 23\/3. Are v and 3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/3 + 12578*k**3\/3 + 17589620*k**2 + 73981405400*k\/3 + 588480472000\/3.\nAnswer: (k + 8)*(k + 4190)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and (2*-1)\/(7\/(-14)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -222021222120202 (base 3) in base 4?\nAnswer: -311103301202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0510411 to four dps.\nAnswer: 0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33141 + 1514?\nAnswer: -31223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 624856845 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 5*i**2 + 2. Let d be z(-5). Suppose 0 = 2*r - 0*r - 6. Solve -r*j + 5 = d for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20148869677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -566\/7 or -81?\nAnswer: -566\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 8*g**2 + 4*g + 7. Is t(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539)*-2 + -5 - (3 + -1*sqrt(539)))**2 - (6*(sqrt(121)*-2 - sqrt(121)) - sqrt(121))\/(((sqrt(88) - (-1*sqrt(88) + sqrt(88))) + sqrt(88))\/sqrt(8)).\nAnswer: 243*sqrt(11)\/2 + 603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**4 - 202*l**3 - 3382*l**2 + 70378*l - 66792 = 0.\nAnswer: -69, -44, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w**2 + 2*w - 2. What is b(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 11. Let r be 14 + -1 + 2 + z. Factor x**4 - 8*x**2 + 8*x - 8*x - r*x**3 - 5*x**4.\nAnswer: -4*x**2*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.1 + 0.2. Let v = 2.16 + o. Let t = v + -0.06. Which is the second smallest value? (a) t (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + a - 102 = -2*m, 2*a - 3*m - 55 = 0. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 10115014.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from acaa?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12359 + -2374. Does 17 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352 = -3*z + 25*z. Suppose -21*v + z*v - 25 = 0, -3*v - 13 = 2*y. Let b(o) be the third derivative of -7*o**4\/24 + o**3\/6 - o**2. Give b(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**2)\/((h*h*h\/(h*h**(-2)*h))\/h))\/((h\/h**(-6\/7))\/(h\/(h**13\/h))) assuming h is positive.\nAnswer: h**(-83\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/(-1875)*-10*50\/8?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -11*l**8\/14 + l**6\/60 - 59*l**5\/30 - 227*l**2. Find the third derivative of w(p) wrt p.\nAnswer: -15840*p**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16345915 is divided by 1931?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4351*j - 18175 = 73235 + 43471 for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 275 + -60. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40 (base 9) to base 11.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + (10\/(-4) - (-15)\/(-30)). Let z(t) = -232*t - 43. Is z(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72131 not equal to 51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 23*n + 31. What is q(-20)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -4825.\nAnswer: 16\/4825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 128364 and 98?\nAnswer: 6289836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 49*p - 1 - 2*p - 1 + (0*p + p + 2*p)*(0 - 4 + 6) + p + p - 6*p.\nAnswer: 49*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(153) + 1*sqrt(153)*2 - sqrt(153)) + sqrt(153))\/sqrt(324) - (2 + (sqrt(833) + sqrt(833)*3 + sqrt(17))*3))**2.\nAnswer: 1384*sqrt(17) + 508809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 95 = -5*m - 4*u, m + u - 18 = 0. Let g = m - 23. Suppose 4*r = -5*w - g*r - 1110, -5*r - 679 = 3*w. Round w to the nearest 10.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*q**2*y + 2*q**2 - 810*y + 1811 wrt y?\nAnswer: -2*q**2 - 810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 3*j - 119020, j + 2*s + 1624 = 41296. What is the ten thousands digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15103 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 560319804?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 3451, 0, -31.4.\nAnswer: -31.4, -0.2, 0, 3451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1979 and 0.88?\nAnswer: 0.174152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*x + 91*x + 51*x - 74*x - 2.\nAnswer: 189*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 638 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*h - 129*h = 0. Let j(i) be the second derivative of h*i**3 - 4*i - 1\/9*i**4 + 0*i**2 - 3\/10*i**5 + 0. Factor j(x).\nAnswer: -2*x**2*(9*x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -4*z + 8*z + 12, 4*z = -p + 8. Find the first derivative of 141*n**2 - 141*n**2 - 2 - 3*n**p wrt n.\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*h + 31*h - 189. What is the tens digit of -7 + (h - 7) + 251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 358*g + 2163. Let j be l(-6). Solve -111 = j*d - 21 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 199, 448, 697?\nAnswer: 946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r*r*r\/(r*(r*r**10)\/r)*r)\/(r*r*r**(-14)))**31\/(((r**(1\/6)\/r)\/r*r*r)\/r**(2\/7)*(r**(1\/3))**(-6\/17)) assuming r is positive.\nAnswer: r**(155107\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77677188 divided by 13.\nAnswer: -77677188\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*v + 3 = 0, 0*v - 4*v = -b + 11. Let u be 10 + (b - (-2 - -4)). Solve 5*o - u = -4*t, 5*o - 6 - 7 = -2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (-164)\/(-2) + -1. Let t be (-72)\/((-4)\/3*2\/4). Calculate the greatest common divisor of t and v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hv when two letters picked without replacement from {t: 3, h: 2, v: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o - 2. Let m be t(10). Let w = -654 + 5223\/8. What is the common denominator of w and (-4)\/m + (-1177)\/484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 70 + 140 = 0. Let c = r + -32. Let v be (c + -11)*(-5)\/(-1). Is v at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -45.54 to zero decimal places.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 204.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9b23 (base 15) in base 14?\nAnswer: bdab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 172*v - 13. Let a(o) be the second derivative of -1\/24*o**3 + 0 + v*o**2 - 1\/80*o**5 - o - 1\/24*o**4. Factor a(s).\nAnswer: -s*(s + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46 + 4 - 15)*(5*z - 5*z - z) + (3*z + 2*z - 4*z)*(1 + 0 - 3).\nAnswer: -37*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2903912 + 2903912 + 3070*q.\nAnswer: 3070*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37 - 25 - (1 + 25)) + 3 + 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.1 - 2. Let b = 8339 - 8339.1. What is the closest to b in -0.5, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in 0.1, -38.8249, -4, 1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 7 = -11. Put -2, 5, a in increasing order.\nAnswer: -2, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -213090 + 213089.98000034. Let b = r - -0.02. What is b rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1362, 5306, 11830, 20934, 32618, 46882?\nAnswer: 63726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 52756 = -48*m. Calculate the highest common divisor of 55 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (48 - -10 - -13)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 494\/3 <= -3\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14526578?\nAnswer: 2, 11, 660299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/5*(-115)\/(-161)*(-7)\/2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, y: 3}. Give prob of sequence ky.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 94602313 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/4, 0.208, 0, 0.08?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18664053 a multiple of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 4*y**2\/9 - 34724200*y\/9 + 75360629102500\/9 = 0.\nAnswer: 4340525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1092 and 3.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-2)\/120)\/((-73)\/146)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 2211*d + 742089. Give u(-296).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.74 - 4.74. Let r = -0.9 + -3.1. Let k = 4.1 + r. Sort 4, w, k in ascending order.\nAnswer: w, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1602, -3247, -4892?\n\"Answer: -1645*r + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -7*s. Let u be i(-2). Let h = 25 - u. Suppose 0*f + h = f. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-64)\/(48\/(-12)))\/(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*i**3 + 4*i**3 - 7*i**3.\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 58\/(1*2\/7). Suppose 5*p - 5*y = 290, 59 = 4*p + 2*y - q. Suppose 0 = -3*o - 0*o + p. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 670, 630, 590, 550, 510, 470?\n\"Answer: -40*p + 710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -278252.3 rounded to the nearest one hundred?\nAnswer: -278300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 7*b**2 - b - 8. Let v be y(6). Is v smaller than 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6579737.\nAnswer: 131, 50227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, z: 1, g: 1, v: 3, a: 4}. Give prob of sequence az.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and -0.566786.\nAnswer: 2.433214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23350 by -2.\nAnswer: 11675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(5\/3) - 1. Suppose -4*z = c - 10, 2*c - c = 4*z + 34. Calculate the least common multiple of (h\/2 - -23) + -2 and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/168*(-16)\/100*5 + (-170)\/(-462).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2553*x - 165993. Calculate d(-65).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1447299 and 7875.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.22 + -0.02. Let x = f - 0.1. Which is the biggest value? (a) -2 (b) x (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 13*k + 8 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284*i + 172 = -112 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 12 + 52 = 5*v, 2 = 3*v - 2*b. Let u be (5 + -5)\/(v + -2). Suppose -4*t + 57 - 5 = u. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - p - 14 = p, -5*b - 29 = 3*p for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -l**6\/90 + l**5\/10 - l**4\/3 - 14*l**3 - 1. Let v(i) be the third derivative of n(i). Determine t, given that v(t) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4*h, 3*h = 4*y - 0 - 2. Let i be (0*1\/(-4))\/y. Put 5\/7, -4, i in ascending order.\nAnswer: -4, i, 5\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -b - 6*s + 359, 2*s + 1063 = 3*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.062816968 rounded to 3 dps?\nAnswer: -0.063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**5\/2 - 26149257*t**4\/2 - 56982035510757*t**3\/2 - 284909523822735*t**2\/2 = 0. Calculate t.\nAnswer: -4358207, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/6 - 4\/(-6). Let a be g + 0 + (-14)\/6. Is 2 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + 1 - 2) + -33 + 29.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 2*i - 31 = 0, -161*u + 5*i + 46 = -164*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.362 - -0.43. Let q = -0.029 + j. Let c = q + 0.044. Round c to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*q - 2*h, -6*q + 9*q + 3*h = 39. Solve -4*f = f + q for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from twtrwwwlvwwvlql. What is prob of picking 1 q, 1 r, and 2 v?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2810.890769 and -1433.55.\nAnswer: 1377.340769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7340115\/237736 - -2\/29717. Let a = z - -31. What is the nearest to -2 in -2\/17, -4, a?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 419.814424 - 68.818494. Let l = -351 + h. What is l rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 15 and 119066\/8031 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2000*f - 920*f**2 - 2\/5*f**4 + 196\/5*f**3.\nAnswer: -2*f*(f - 50)**2*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m + 3 + 3 - 10 + (2 - 2 - 2)*(14 - 6*m + 6*m + m).\nAnswer: -5*m - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 140*s**2 + s - 140*s**2. Let a(n) = -88*n + 25*n + 64*n. What is 2*a(v) - 2*j(v)?\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -560 = -3*i - 2*i. Let p be (108\/(-60))\/((-6)\/50). Calculate the remainder when i is divided by 555\/25 - (-4)\/p*3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53 + -48. Suppose c*z - 9 = 3*r, -2*z + r - 4*r = 9. Let h(b) = 3*b - 39. Let l be h(14). Which is greater: l or z?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y + 2 + 0 - 2 + 2. Let z(h) = 7*h + 9 + 0 - 3*h. Let b = -27 - -23. What is b*z(w) + 18*a(w)?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10*(-34)\/12*-3. Suppose 2*o = -5*d + 416, -d + 258 = o + 179. Which is smaller: z or d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 73 + 11*z - 160 + 77 as x + r*z and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1144 (base 8) in base 16?\nAnswer: -264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 630?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7041318*b**3*p**3 - 133598*b**3*p + 30*p**2 wrt p.\nAnswer: 42247908*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 2910561?\nAnswer: -2910558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by (-54)\/(-36)*(-10)\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27970 - 25536 = 1726*g for g.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3, -20, -55, -96, -137, -172?\n\"Answer: a**3 - 12*a**2 + 6*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 86728935 a multiple of 296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53.11977276 - 53.12. Round l to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/15 + 934\/(-720) and -49\/33.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 44 + 4?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**3\/7 - 24805*h**2 + 7560059432*h\/7 - 1976303662748\/7 = 0.\nAnswer: 263, 86686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 8*g + 2. Let q(c) be the third derivative of -5*c**4\/8 - 2*c**3\/3 + 10*c**2. Determine 11*j(i) + 6*q(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 4*o**2 - o**3 + o + o - 6 - o**3. Let h be t(4). Let i = 6 - h. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1*1027\/(-65)*(-10)\/8 and -47\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 120\/(-36)*(2 - 3\/6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -14, -16, -20, -26, -34, -44?\n\"Answer: -d**2 + d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1312244 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 582859.99948 - 582873. Let r = b - -13. Round r to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pcc when three letters picked without replacement from ttccccpttppcttptcc?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*r**3 + 5725*r**2 + 9413 wrt r?\nAnswer: 6*r**2 + 11450*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -23*l + 144. Let s be f(6). What is the fourth biggest value in 0.4, -0.14, -0.1, s?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**3 + d**2 - 3*d + 2. Let g be c(1). Let u(k) = 15*k**2 - 7*k + 8. What is the remainder when u(g) is divided by 46?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 41795810 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 10, -7 in descending order.\nAnswer: 10, 4, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 4, q: 15}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.4 + -0.6. Let s = 5.4 + l. Let a = s - 0.6. Is 1 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -70, -54, -32?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q, -57 = -4*p + 4*q + 107. Let u = -6 - -27. What is the remainder when p is divided by u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kakakxekkkkexke. What is prob of picking 1 e, 1 k, and 2 x?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*f - 16 + 323185*f**2 - 94*f + 17.\nAnswer: 323185*f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000646 rounded to 6 dps?\nAnswer: -0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (15 - 13 - 19)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 20.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -2 - (20 - 30) - 4.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(352) - (sqrt(352) + sqrt(352)*-3))*-4)\/(1*sqrt(128) - sqrt(2) - sqrt(2)*3*-4).\nAnswer: -288*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -22. Let o = 8 + v. Suppose -2*s + 5*q - 87 = -6*s, -3*s - 5*q = -59. What is the remainder when s is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/2*0\/2. Suppose d = -q - 0*q. What is the first derivative of 5 + 2*l + q + 0 - 1 wrt l?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 4*t + 7. Suppose -z + 10 = -3*z. Let n be h(z). Suppose 17 - 1 = n*u. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 767424 and 16128.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-501)\/(-9) + (-12)\/(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -38*r**3 + r**2 + 3*r + 5. Let x(o) = -38*o**3 + 2*o**2 + 4*o + 6. Give 4*s(i) - 3*x(i).\nAnswer: -38*i**3 - 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**7\/1785 + x**6\/340 + x**5\/255 - 6*x**2 - 2. Solve p(k) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -385 + 713. Suppose -20*p = -i + 28. What is the lowest common multiple of p and 33?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-4)*s\/(s*s**(3\/2)\/s*s))\/((s**9*s*s)\/(s**(-1)*s*s)))**(-44))**(-5\/4) assuming s is positive.\nAnswer: s**(-1595\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**3\/11 - 54*k**2\/11 + 3264*k\/11 - 30208\/11 = 0.\nAnswer: -59, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l**2 + 6*l**2 - l + 0*l - l as s + u*l**2 + o*l and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 - 296812*u**2 + 22021372416*u + 440546181120.\nAnswer: (u - 148416)**2*(u + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 2*w**2 - 2*w - 3 + 0*w + 2*w**2. Suppose -d - 178 = -122 - 59. Calculate q(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 345 = -5*a - 4*g + 449, -4*a - 3*g = -82. Solve -14*n + 16*n = -5*b + a, 2 = -n for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.079, 2, 2.7, -0.5, 2\/13 in decreasing order.\nAnswer: 2.7, 2, 0.4, 2\/13, 0.079, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i + 8 = 10*i. Let v be (-9)\/3*i*2\/6. What is the closest to v in -0.1, -3, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(sqrt(55)\/(sqrt(30)\/sqrt(6))).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*o = -40. Suppose s = 2*u + 170, -o*s - u - 2*u = -902. Is 48 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-5 - -3 - -7) - -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 12:07 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.19 + -12.81. Let k = p + 15. Which is smaller: -3 or k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 710359571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16258639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1.34 * 0.3\nAnswer: 0.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 718.\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of d**5\/110 + 134*d**4\/11 + 71824*d**3\/11 + 19248832*d**2\/11 - 35*d - 19. Factor m(r).\nAnswer: 2*(r + 268)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41694478.\nAnswer: 2, 7, 2978177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 20*o**2 - 17*o - 35. Let x be s(19). Suppose -m - 2*m = -5*z + 4120, 2472 = x*z + 4*m. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 7*n**2 - 11*n - 3. Determine g(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 45 - 0\/(2 - -2). Suppose 0*u - k = -u. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 12*s - 11. Let t be o(11). Suppose -2*d + t*c - c + 23 = 0, -2*d + 2*c + 8 = 0. Solve 5 = g + b, -g = -0*g + 2*b - d for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1130.\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -632 or -663579\/1048?\nAnswer: -632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.18 - -23.98. Let k = -21 + t. Let b = 1.80026 - k. What is b rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1147156733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1510 - -2116. List the prime factors of o.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 7 = 4*t + 3*q, 4*q - 24 = 2*t. Let w(d) = d**2 - 17*d - 53. Let x(j) = -j**2 - j + 1. Let n(g) = t*w(g) - 6*x(g). Factor n(y).\nAnswer: 4*(y + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1005, -4015, -9029, -16047, -25069, -36095, -49125?\n\"Answer: -1002*g**2 - 4*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -u - 2*l, -3*u - 1 = 2*u - 3*l. Let y be u*(4 - (-8)\/(-1)). Let f = 55 - y. List the prime factors of f.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - q**2 - q. Let j(h) = -8*h**3 + 5*h**2 - 19*h. Let n(d) = j(d) + 5*v(d). What is the second derivative of n(u) wrt u?\nAnswer: -78*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -0.2, -483\/11, -0.5, 0.2, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, b: 8, n: 2}. What is prob of picking 4 b?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1979 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/4060 and -139\/23142.\nAnswer: 231420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 6*h**2 - 5*h + 6. Calculate m(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.13 - -0.13. Let b = 5 + y. Let g(a) = -2*a - 1. Let s be g(0). Put 3, s, b in increasing order.\nAnswer: s, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16977 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + i = -56, 0 = -v - 3*i - 103 + 135. Calculate the highest common factor of v and 1510.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*r + 798 + 2244 = 143*r for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 1, 16, 20 in decreasing order.\nAnswer: 21, 20, 16, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-23163)\/(-6)*(-56)\/(-49)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/65*(-6405)\/84.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 422750539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 263833 to the power of 1\/2, to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 70554*t**2 - 11*t + 2076.\nAnswer: 141108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**3 + 24*c**2 + 78*c + 56 = 0. Calculate c.\nAnswer: -7, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5*(sqrt(325) + (-4 + -4*sqrt(325) + sqrt(325) + sqrt(325) - sqrt(325)))*-4)**2.\nAnswer: 128000*sqrt(13) + 2105600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/5)\/1*(-19 - -2 - -5997) a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m**3 + 390*m**2 + 394*m - 40. Determine f(-77).\nAnswer: -733","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35745 divided by -7149.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1009024, 1009049, 1009090, 1009147, 1009220?\n\"Answer: 8*p**2 + p + 1009015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k + 1. Let g be q(0). Let r(z) = -z - 5 - 3 - g + 2*z. Give r(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 4. Let r = -0.03 + 0.13. What is the third biggest value in r, 5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/15*12\/10.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t + 4. Let x be d(5). Let u(s) = -s - 1. What is u(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5343 and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1389?\nAnswer: 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3895 and 2565.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16219\/(-168) + -15*(-6)\/(-720) + 6\/9.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5555 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*t - 20. Let s = 14 + t. Suppose 0 = 30*o - 91*o + 610. Calculate the lowest common multiple of o and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 g when three letters picked without replacement from {d: 2, i: 4, x: 1, w: 7, v: 1, g: 5}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/(-12) - 470\/(-4). Let p = 116 - n. What is the third derivative of 31*q**2 + 11 - 11 - 26*q**4 + p wrt q?\nAnswer: -624*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 43895104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17595738?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -6, 5*v - 23 = -x + 45. Let g be ((-60)\/v)\/(75\/(-350)). Solve 3*d = -s - d + g, 2*s + d = 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 9*v**2 + v + 97. Determine x(8).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 489 is divided by 145?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -1) + 3 + (-8 - -7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.3 (b) -411 (c) -2\/5 (d) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4041 and 1347.\nAnswer: 4041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008579032598 to 7 decimal places.\nAnswer: 0.0008579","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3303 - 3295. Solve -4*q - n*v = -7*v - 16, 2*v = 5*q - 33 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2)*c)\/(c*c**(-1)))\/(c**(-3)*c**(-2)) assuming c is positive.\nAnswer: c**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 54*y - 44 - 34. Let g(c) be the second derivative of -14*c + 0*c**y + 0 + 11\/12*c**4 + 4\/3*c**3. What is the second derivative of g(f) wrt f?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvnvnvnnnnv. What is prob of picking 2 v and 2 n?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 43310 + 335?\nAnswer: 43645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, -144\/7, -2, 2, -0.3?\nAnswer: -144\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36294072631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.31 + -0.11. Let t = f - -0.8. Let j = -1.3 - -1.5. What is the smallest value in 0, t, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -i**5\/5 + 5*i**4\/3 + 20*i. Find the third derivative of g(d) wrt d.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532724.7424 rounded to the nearest 10?\nAnswer: 532720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 40*h**2 - 72*h + 169. Let g be k(-38). Let x(r) = -r**3 + 18*r**2 - 17*r - 15. Determine x(g).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -21d?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 3. Suppose m = 21 - w. What are the prime factors of m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 122, 248, 384, 536, 710, 912, 1148, 1424?\n\"Answer: a**3 - a**2 + 122*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 2\/9 (b) 1 (c) -8 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297 is divided by 67?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/4)\/((-3)\/6). Let y(z) = -190*z**2 + 96*z**2 + 93*z**2 + 4*z**3. What is the smallest common multiple of y(q) and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -346 - 203?\nAnswer: -549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3297, -6615, -9933?\n\"Answer: -3318*a + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 4*m - 25 = -9, g = 3*m - 7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of f**7\/168 - f**6\/120 - f**5\/80 + f**4\/48 - f - 1. Let k(v) be the first derivative of s(v). Determine u, given that k(u) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 5*c - 3. Suppose 4911 = -3*j + 4941. Calculate the smallest common multiple of j and h(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 3*g - 5 - 14 = 0, 2*n - 27 = 5*g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.805 or 0.1?\nAnswer: 1.805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -25*m**3 + 2*m**2 + 3*m + 3. Give w(2).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 25 = 0, -6*c = -4*m - c + 15. Let v be (5 - 4) + m + -1. Is (-394)\/(-5) - (-2)\/v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82429444 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide 298762273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (36\/16 + -2)\/(9\/(-6))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 254164336*n**2 + 103920305?\nAnswer: 508328672*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - (3 + (-10*42\/336)\/(10\/12)). Let o be 2\/(-7) - 10\/14. Let q = 5.88 - 6. Which is the third smallest value? (a) f (b) 0.2 (c) o (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1488 is divided by 258?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 8:47 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + 12\/(-3) + -1 - -2. Suppose 5*l = 4*i - 5, 3*l - i - 4 = -q. Suppose -5*r + 15 = 5*h, -h + 0 = -5*r + l. Solve -n + h*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -3 - 4 - (-25 + -13 + 21).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(1\/5))\/r**(-6))\/(r\/r**0)**(2\/5) assuming r is positive.\nAnswer: r**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 200, 198, 196, 194, 192, 190?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*y**4 - 24*y**2 + 2*y - 8991 wrt y?\nAnswer: 48*y**3 - 48*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1340231 (base 8) to base 5.\nAnswer: -44030420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence igig when four letters picked without replacement from iggggigggggi?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2 + 7*p - 16. Let f(c) = 14*c**2 + 34*c - 79. Let m(h) = 11*a(h) - 2*f(h). What is the tens digit of m(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 q when two letters picked without replacement from qnahha?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*s**2 + 22*s - 22*s.\nAnswer: -27*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 10:18 AM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - 4 - (148 - 158).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 7:23 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -813 - -517. Let w = 295 + j. Which is the nearest to w? (a) 6\/11 (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v - 7. Calculate l(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 3*g**3\/2 - 14*g**2 + g - 3. Calculate the remainder when y(6) is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/5 of a minute?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = d - 73103, d = -d - 4. Suppose 2*f = 5*x + 3853, 5*f + 2*x + 4945 = y. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -64 - -639\/10. Let d = 1.8 + -9.8. Let y = -8.3 - d. What is the third biggest value in y, r, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1260 - 1270 = -5*f. Solve -2*g - f*w = w + 5, 2*w = 3*g + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.097691363 rounded to four dps?\nAnswer: 0.0977","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away -37644629.4?\nAnswer: 37644629.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2142528797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*sqrt(325).\nAnswer: -5*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -123, -250, -395, -564, -763?\n\"Answer: -t**3 - 3*t**2 - 111*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2*q. Suppose q = -x + 4*x - 75. Let h = -59 + 73. Calculate the remainder when x is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (4 - 4) - (-1 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 8*r + 1205. What is w(-98)?\nAnswer: 421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1378 + -1549. Is g > -517\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h - 15*h - 8 + 4 = 0. Solve d + 1 = -2*w, 4*w = d + h - 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 741036 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 398134.57 - 4763.57. Let s = q + -393371.429906. Let a = s + 0.43. What is a rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/2))**(2\/7)\/((s\/(s\/((s**(1\/6)*s)\/s)))\/s*s**5\/s) assuming s is positive.\nAnswer: s**(-115\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**3 + 41*f**2 - 95*f - 1464. What is y(15)?\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-16)\/(-12))\/((-2)\/(-3)). Let k be 3\/t*(-5 - -1). Let g(h) = 2*h - 9. Let u(r) = r - 5. Let f(n) = k*g(n) + 11*u(n). Calculate f(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 12, z: 3, x: 1}. Give prob of sequence dd.\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 - 17 - 5*f**2 + 10 - f + 8*f**2 to c + t*f**2 + k*f and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, z: 3}. What is prob of picking 1 o and 2 z?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 129, -5, -1, 2 in decreasing order.\nAnswer: 129, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c - 15*c + 130 = -40*c for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138 + 20*s**2 - 138 - 40*s**2 + 22*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 - 1. Let o = c - 32. Let v(r) = -5*r + 1. What are the prime factors of v(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 24*d - 43. Let x be k(-21). Calculate the least common multiple of 43 + (x + -2)\/(-6) and 56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1019131.4 times -13\nAnswer: 13248708.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/9 (b) -0.032 (c) 0 (d) -1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 less than 61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 374.0253 seconds?\nAnswer: 374025300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1312154 + -11?\nAnswer: 1312143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i + 1. Let s(z) = 3*z + 1. Suppose -3*b + 17 = -4*b. Let k = -11 - b. What is k*s(d) - 5*j(d)?\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -514 + 3302 = 41*k. What is the lowest common multiple of 12 and k?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 3493513582241?\nAnswer: -3493513582236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 - 726*p + 43923.\nAnswer: 3*(p - 121)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 3\/8, 3, -0.4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3697?\nAnswer: 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by (42*1 - 85\/(-17)) + -3.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57788 to the power of 1\/2, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-25 + -3 + (-49 - (-3 + -46)))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*v - 5*v + 4*v.\nAnswer: -29*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 116, -4, 32, 4 in decreasing order.\nAnswer: 116, 32, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-12)*2*-1. Put 4, -0.4, f in descending order.\nAnswer: 4, f, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 q when three letters picked without replacement from dqqqqnebbent.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 10:11 AM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2. Let f be 22416\/30 + (-8)\/(-10). Let o(d) = -102*d**2 - 748*d. Let v(b) = -2*b. Let a(m) = f*v(m) - 2*o(m). Give q(a(t)).\nAnswer: 83232*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16932, 33857, 50780, 67701, 84620?\nAnswer: 101537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*m + 4*x - 24, -4*m = 5*x - 58. Let v(z) = -10*z**3 - 2*z**2 + z. Let d be v(1). Let q = m + d. What is the greatest common divisor of 4 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 156 + -172 - (0 - 12)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1807362077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 282*x**5 - 843*x**5 - 634*x - 92*x**5 wrt x.\nAnswer: -13060*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -73010 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (40 - (-29 + 192 - 14))?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.28 and -1?\nAnswer: 1.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -2. Let f be (d + -1 + 2)\/(-2). Suppose f = 3*n - 0*n - 36. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 6*o. Let l(x) = -x**3 - 5*x**2 + 2*x + 6. Let s be l(-5). Let h = -5 - s. Let g be n(h). Let k(c) = -c - 14. Give k(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 36*m + 321. Let w be i(43). Suppose -d - p = -6*p, 2*p - 17 = -3*d. What is the highest common divisor of d and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (15 + -7 + -13).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-10))\/(310\/775).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*q**2 - 391*q**2 - q - 165*q**2 - 310*q**2 + 2*q to the form u + d*q + h*q**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*v - h, 2*v - 3*h - 4 = v. Is 89691\/(-105)*10\/v + -2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 160\/15 + -4 - 2. Let r(m) = -m**2 - 8*m + 13. Let x be r(-9). Is x != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 5*b - 12. Suppose b*m + 5 = 2. Suppose 4*g + 15 = 3*g + 5*p, -g - 3 = -p. Which is smaller: m or g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 22*p + 30. What is u(25)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 5*v + 5. Let u = 22 - 16. Let q(p) = p**2 + 6*p - 6. Determine u*f(i) + 5*q(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + 74 + (-9)\/3 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 - 39. What is the first derivative of -28 - n**3 - 3*n**3 + 3*n**a + 35 wrt n?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38164 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 1:17 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + -0.3. Let l = -91.9 - -97. Let z = 5 - l. Is i bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*l**2\/5 + 5526*l\/5 + 93044.\nAnswer: -2*(l + 70)*(8*l - 3323)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 2*sqrt(1377))*-6)**2.\nAnswer: -3888*sqrt(17) + 198612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 3*w**2 + 0*w + 0*w. Let j(y) be the first derivative of y**4\/12 - y**2 + 1. Let h(l) be the second derivative of j(l). Determine h(z(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -20*t**2. Let b(p) = 2*p**2 - 4*p + 4. Let q(c) = -5*c**2 + 9*c - 9. Let s(h) = -9*b(h) - 4*q(h). Calculate s(j(r)).\nAnswer: 800*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 5*y**2 + 5*y + 3. Let o be n(-4). Let c be ((-12)\/(-3))\/(o - -3). Suppose 0 = f, 3*f - c*f = 5*t - 30. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 7*h**2 + 6*h + 3. Let y be c(6). Let u be 10*((-25)\/10)\/(-5). Suppose -u*v + 300 = y. Is 22 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -238, 0 in increasing order.\nAnswer: -238, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and -74.5.\nAnswer: -76.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.656964 litres to millilitres.\nAnswer: 656.964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117549.\nAnswer: 3, 37, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1352\/(-130))\/(96\/(-3600)*-45).\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (59 + -4 + 3)\/2*(8 - 7). Solve 0 = 12*v + 43 + m for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -328 + 215. Let r = j + 118. Put -5, r, -1\/3, -0.4 in ascending order.\nAnswer: -5, -0.4, -1\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3705917 is divided by 13476.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 119 and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 46*n**2 + 5. Let h(d) = -23*d**2 - 3. Let x(t) = -5*h(t) - 3*k(t). Suppose -13*i = -7*i - 1572. Let c(y) = -3 + 3 - 260*y + i*y. Calculate c(x(a)).\nAnswer: -46*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -454 (b) -0.4 (c) -0.0958\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 0, -107, -340, -741, -1352?\nAnswer: -2215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3423890.\nAnswer: 2, 5, 342389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 0.05, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*g - 13*g + 14*g**3 + 2*g**3)*(-3*g + g + g) to the form u*g + f*g**2 + x + a*g**4 + j*g**3 and give a.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -22033616482 and 6.\nAnswer: -22033616476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*j - 354 + 1700 = -2878 for j.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/45 and 103\/36330.\nAnswer: 108990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence anav when four letters picked without replacement from {n: 2, v: 8, a: 4}?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 510 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -3 (b) -8.1 (c) -0.5 (d) 2\/13 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*h - 4 = -20*h. Let a(i) = i**2 + 11*i + 5. Let z be a(-10). Sort h, z, -3 in decreasing order.\nAnswer: -3, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 799417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1596?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1936154.\nAnswer: 2, 11, 88007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-23)*11\/198*3\/(-1).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1021 is divided by 449.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 244*o**3 - 6 - 56*o**3.\nAnswer: -300*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 6:20 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 549805 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y + 20 = -2*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10550699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 2\/7, 134?\nAnswer: 134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n - 180 = 140 - 21 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 128854620?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/22 in -170, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48*o**2 + 89*o - 89*o)*(0*o - o + 2*o).\nAnswer: -48*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4298 and 798?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/2 - (-3 + 2). Suppose 5*u - 1 + 11 = t, -4*f + 4*u - 16 = 0. Let l(i) = i**3 + 7*i**2 + 7*i - 2. What is l(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16043416 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((6*(0 + sqrt(80)))**2 - (sqrt(80) + -2*(sqrt(80) - (sqrt(80) + 3))))*4*-1.\nAnswer: -11496 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31940*a + 31927*a + 559 for a.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, -2012, 1.68?\nAnswer: 1.68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/5)\/(h\/h**(-2)*h*h))**(19\/5))**41 assuming h is positive.\nAnswer: h**(-18696\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2 + 0 = 0. Let z(w) = -50*w. Let t(f) = -3*f. Let h(p) = b*z(p) - 35*t(p). Let x(v) = -v**2. Calculate x(h(a)).\nAnswer: -25*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.52 + 1.52019. Round a to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 9*i**3 - 3*i**2 + 4*i - 3. Let p be f(4). Suppose -n + p = -0*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -251*t**2 + 139*t**2 + 120*t**2.\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*s + 91 = y, 0 = -2*s. Suppose 0 = 5*o - y - 119. Suppose 50*j - o = 47*j. Does 5 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 4*v - 4, 2*v - 6*v + 72*g - 77*g = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 2:43 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 70 + -11. Let k = -27 + g. What is the remainder when 115 is divided by (k\/(-48))\/((-4)\/174)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/2430342 and 85\/62.\nAnswer: 75340602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 40 = 20. Let t be 36\/306 + f*(-33)\/(-17). Solve 3 = 3*j + 2*w + 3*w, -4*j + t = 3*w for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -418*x**2 + 2*x - 16 wrt x?\nAnswer: -836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uef when three letters picked without replacement from ggvgfuguegvfvfgvf.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 0*d - 4*t + 150, -2*t = 3*d - 241. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 250*n**3 + 19*n + 10. Let l(f) = -79*f**3 - 6*f - 3. Give 7*l(i) + 2*u(i).\nAnswer: -53*i**3 - 4*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2 - 6*t**2 + 2 + 0. Let h = 5 - -4. Let c(n) = -6*n + h*n - n. Calculate v(c(i)).\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -45.9148328 to 2 dps.\nAnswer: -45.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 206.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, w: 2, z: 1, j: 1}. What is prob of picking 1 z and 1 x?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(1125).\nAnswer: 45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-88)\/(-20) - 4)*(-2 + -8). What are the prime factors of (-149856)\/(-240) - (-5)\/(50\/r)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lqmmdqdqdmdjqlmldq. What is prob of sequence qjmq?\nAnswer: 1\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/405 and -67\/10?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4064, -8116, -12170, -16226, -20284?\nAnswer: -24344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21322285113 - 0.3.\nAnswer: -21322285113.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*a - 2. Solve 5*u - 4 = -0*h - 4*h, -a = u - 5*h for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 - -0.7. Let d = j + 4.6. Let u = 6 + -3. Which is the smallest value? (a) d (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 60, 104, 168, 258, 380?\nAnswer: 540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 8) to base 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5848 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1134 by 126.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3*(sqrt(1500) + -5*sqrt(1500)))\/((sqrt(5) - sqrt(15)\/sqrt(3)*-2) + sqrt(20)\/(sqrt(8)\/sqrt(2)) + sqrt(5)) + 5)**2.\nAnswer: -720*sqrt(3) + 15577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*g**2 - 21*g + 4*g**2 + 21*g in the form r*g + v + s*g**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 3:26 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 966585 - 2085585. What is k rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 + (35 - 24) + 7?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -213 (b) -1\/3 (c) 0 (d) 3\/7 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 5*j + 25 = 0, -915*m + 927*m - 5*j + 25 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-10)\/1*9\/(-18) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 20478720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70368.9ng to micrograms.\nAnswer: 70.3689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 8 = 2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3359*d = -3341*d + 108 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50 + 7. Let o = g - -128. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -21, -71, -173, -345, -605, -971?\nAnswer: -1461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 124699 to the power of 1\/2, to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217*l + 1719*l**2 + 467*l - 1717*l**2 - 250*l - 27.\nAnswer: 2*l**2 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(20)*3 + sqrt(30)\/(sqrt(12)\/sqrt(2)) + 3 + (-1*sqrt(330)\/sqrt(6))\/(sqrt(176)*2 + sqrt(176) + sqrt(176) + sqrt(11)))**2.\nAnswer: 1320*sqrt(5)\/17 + 244601\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/444636 and -16\/27.\nAnswer: 444636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1679877557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-8))\/((5\/32*-6)\/(29\/58))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - -7912.\nAnswer: 7911.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 35*w**2 - 35*w - 38. Calculate k(-34).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 8*x - 7. Let t be b(-6). Find the common denominator of (-2 - t\/8)*-4 and -55\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17058 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11781 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 third derivative of -2*g**3*o - 10*g**3 + 2*g**2*o + 37*g*o wrt g?\nAnswer: -12*o - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19044*v**3\/7 - 552*v**2\/7 + 4*v\/7.\nAnswer: 4*v*(69*v - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-63)\/(-28)*32\/(-60)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8063*f - 19*f**2 + 62*f**2 - 72*f**2 + 8063*f.\nAnswer: -29*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9013557551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -162 + 164. Find f such that -1\/2*f + 0 + 1\/2*f**3 + 1\/2*f**4 - 1\/2*f**x = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**3 - 66*g**2 + 612*g - 1520 = 0.\nAnswer: 4, 10, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*z = -34017, -4*r + 0*z + 136077 = 3*z. Suppose -5*n = -5*y - 0*n + 42480, 5*n = -4*y + r. Round y to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2131 (base 5) in base 4?\nAnswer: 10203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0024 + -0.1024. Put 3, -13, -3\/4, a in ascending order.\nAnswer: -13, -3\/4, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**8\/((x\/(x**(3\/8)\/x))\/x*x))\/(x*x*(x**(-1\/6)\/x*x)\/x*x*x**(-2\/9)\/x*x) assuming x is positive.\nAnswer: x**(343\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 219 - 49. Calculate the highest common factor of 68 and c.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 10:50 PM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(400) - (sqrt(400) + sqrt(400)*3))\/sqrt(10) + sqrt(40))\/sqrt(8))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1506 is divided by 168.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z. Let h(t) be the first derivative of 19\/2*t**2 + 17 + 0*t. Calculate h(u(q)).\nAnswer: 19*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 7 = -a + 22, c + 63 = 4*a. Suppose -16*n = -15*n - 9. What is the remainder when a is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 772*s + 219*s**2 - 772*s + 672*s**2 to the form q*s**2 + l*s + y and give q.\nAnswer: 891","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-4))\/(10\/(-80)). Solve -3 = -3*t + o*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44*k**5 - 565552*k**3*r**3 + 40*k*r - 3*k + 162481*r**3 + 2*r wrt k.\nAnswer: 880*k**3 - 3393312*k*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + x - 8. Let i be q(6). Let h = i - 12. Suppose 5*j - 49 = 1. Calculate the least common multiple of h and j.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 82 + -76. Suppose -2*w = -2*p - 4, -1 = 2*w - p - c. Let z be (-2)\/(-6)*1 - (-80)\/12. Solve w = 5*d - z for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/70*775\/93)\/(108\/(-63))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17128 divided by 4282?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 31151*h - 404970. What is g(13)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 12:17 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + 4*(-52)\/16?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -23*a**2 + 1. Let l(i) be the first derivative of 7*i**3\/3 - 308. Give d(l(q)).\nAnswer: -1127*q**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.77 - 0.8. Let s = q - 1.97. Let l = 5 + s. What is the second smallest value in 0.1, 3\/2, l?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from svburzb. What is prob of sequence uzr?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -18131, -36444, -54757, -73070, -91383, -109696?\n\"Answer: -18313*d + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*a**3*s**2 + 5*a**3*s + 2*a**3 - 34*a**2*s**2 - 6*a**2*s + 230*a*s**2 + 2*a*s - s + 55 wrt s?\nAnswer: -24*a**3 - 68*a**2 + 460*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 121475617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1))**(1\/57)\/(o**(2\/3))**(2\/71))**41 assuming o is positive.\nAnswer: o**(-2009\/1349)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4875930, -4875910, -4875890, -4875870, -4875850?\n\"Answer: 20*z - 4875950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 10806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219050 a multiple of 315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-55968585)\/(-2223) + (-4)\/78 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2*k - 43316 = 90484, 2*s = k + 89199. What is the ten thousands digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2111 or 2147?\nAnswer: 2147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108*(-28)\/224*16\/(-12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 0*z - 3*z)*(3*z**2 - z**2 - z**2) + 3*z**3 - 5 + 5 + (-2*z + 5*z - 4*z)*(0*z + 0*z - z**2).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2290, 2439, 2678, 3007, 3426?\nAnswer: 3935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h - 11. Let x be z(-4). Let y be -24*(x\/5 + 104\/(-120)). Suppose -4*k - 4*k = -y. Solve -5*u - 2 = k*o - 2*u, -10 = 5*o + 5*u for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5b (base 13) to base 9\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2780, -12274, -28484, -51410, -81052, -117410, -160484?\n\"Answer: -3358*q**2 + 580*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 17. Let l be 1\/(-6)*-4*b. Suppose 0 = -6*t + 4*t + l. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b**2. Let t(s) be the third derivative of -s**5\/60 + 5*s**2. What is t(a(c))?\nAnswer: -9*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 4:44 AM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - m - 11. Let b be p(0). Let s = -1 - b. Solve t - s = -t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*y**2 - 16*y**2 - 4*y + 5*y + 6*y**2 in the form x + k*y + j*y**2 and give j.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*c**3 + 3 - 2*c + 0*c - 243581*c**2 + 243580*c**2 - 3*c**3 + c**3 + c**3 + (2*c - c - 2*c)*(0*c**2 + c**2 + 0*c**2).\nAnswer: 35*c**3 - c**2 - 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2143 less than or equal to -12\/79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -1636, -4352, -8154, -13042, -19016, -26076?\nAnswer: -34222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 165 and 42870?\nAnswer: 471570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 4:05 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2835, -5669, -8503, -11337?\n\"Answer: -2834*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(9\/42))\/2. Let u = n - -5. Which is greater: 1\/3 or u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68666 - 693136. Round z to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 957933*c**2 - 2145383*c wrt c.\nAnswer: 1915866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19560459?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = -5*f + 2576. Calculate the remainder when f is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123607?\nAnswer: 11, 17, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -v**5\/20 - 13*v**4\/12 + 5*v**3\/2 - 7*v**2 - 2*v. Let s be k(-14). Let x = s - -102. Is 19 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1441291.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-9) - (-144)\/54?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, i: 1, l: 1, y: 1, b: 1, c: 1}. What is prob of picking 1 d and 1 y?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20519 is divided by 150.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -2*v - 8, -v - 3*i - 6 = -0*v. Suppose -j + 9 = -4*p, v = -2*j - j - 2*p + 69. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/791 or 1996?\nAnswer: 1996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.4893581 and 0.16.\nAnswer: 1.6493581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 462422145 a multiple of 1635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 4\/7 of a week?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 3:33 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 0*i + 1 - i)*(-3 + 2*i + 3 + (-3 + 3 - 2)*(3*i + i - 5*i) - 30*i + 37*i + 105*i + 2 - 4 + 2*i - 4*i).\nAnswer: 114*i**2 + 112*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5795 is divided by 790?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2342 (base 9) in base 3?\nAnswer: -2101102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from szzngnz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.0235219 rounded to 4 dps?\nAnswer: 3.0235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 192 - -34. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15401 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 263, 258, 249, 236?\nAnswer: 219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - -0.1. Let n = 29 - 144\/5. What is the closest to r in -1\/7, n, -0.5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 1:31 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqosqqqsq. Give prob of picking 1 o and 2 s.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10692, -10708, -10732, -10764, -10804, -10852?\nAnswer: -10908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -j + 3*j + 20, -5*p + 10 = 3*j for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9120133, 18240275, 27360417?\n\"Answer: 9120142*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -336\/433 > 14\/381?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(2\/(-3)))\/(((-525027)\/122)\/151)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 6370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 2*p + 6. Let z be d(-3). Suppose -z + 60 = 3*s. Let i(j) = -j**3 - 6*j**2 - 7*j - 7. Let c be i(-5). Solve 4*r = -c + s for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 8*q - 8. Suppose 2*r - 33 = 3*h, 3*h + 51 = 5*r + 9. Let x = 27 - h. Suppose -3*a + x = 3*a. Calculate i(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2991932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -6*l - 23. Let o(z) = -5*z - 23. Let v(b) = -3*d(b) + 4*o(b). Find the first derivative of v(r) wrt r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-8\/5))**(8\/7))**22 assuming r is positive.\nAnswer: r**(-1408\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142161?\nAnswer: 3, 47387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9*(-2)\/24)\/((-97)\/(-171496)*-34).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/6)\/((-44)\/(-12) - 3). Let f = -821053\/2135 - -2692\/7. Which is smaller: f or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543652371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -19.6. Let x = 1.1 + -1.2. What is the nearest to 1 in b, -1, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5958 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.089475 + 0.089475. Let n = -2 - -2.4. Sort n, -5, -2\/17, a in ascending order.\nAnswer: -5, a, -2\/17, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 4*c**2 - 7*c - 15. Suppose -w = 6*w - 35. Suppose -s + 19 = 3*q, -3*s + w*q = -2*s + 13. Is l(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 48294815?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -5*o - 250, -4*k - k = 4*o - 214. Let h = 5 + -2. Suppose -h*p - 4 = -k. What is the remainder when 41 is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**7\/840 + p**5\/40 - p**4\/12 + 5*p**2. Let v(a) be the second derivative of j(a). Differentiate v(b) wrt b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3022748, -3022758, -3022768, -3022778, -3022788, -3022798?\nAnswer: -3022808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.2 - 0.171416?\nAnswer: -5.371416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*o - 2*o - 3*o)*(3 - 1 + 0) + 4 - 4 - o - 6*o + 0*o + 4*o as v + b*o and give b.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 70\/(-14) + 9 + -1. Let o(c) be the first derivative of -3 + 0*c**y + 9\/4*c**4 - c + 1\/2*c**2. Calculate o(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-3) - (-2)\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllhtgttgtguhush. What is prob of sequence sull?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -338598*u**3 + 29365*u**2 - 10*u wrt u.\nAnswer: -2031588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**6\/120 + d**5\/12 + d**4\/4 + 4*d**3\/3 - 4*d**2. Let t be i(6). Let o = 1 - t. What is o rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -m**7\/1365 - m**6\/780 + m**5\/78 - m**4\/52 + 20*m**2. Factor d(w).\nAnswer: -2*w*(w - 1)**2*(w + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 357.3 - 357.1. Sort -1\/17, -0.4, 0, l, -0.1 in descending order.\nAnswer: l, 0, -1\/17, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6002*f*o**4 - 21611954*f + 707*o**4 wrt o.\nAnswer: -24008*f*o**3 + 2828*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1970, 4329, 6688?\nAnswer: 9047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, z: 15}. What is prob of picking 1 z and 2 k?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 37\/5 of a tonne?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 2*v - 33. Let i be h(7). Let u(j) be the second derivative of 0*j**2 + i*j - 1\/6*j**3 + 0. Let o(n) = -n**2. Calculate o(u(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 201 - 418. Let z = 231 + w. Solve -z*v = -9*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -126.6, 5\/4 in descending order.\nAnswer: 5\/4, -0.4, -126.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -252.2296 rounded to the nearest integer?\nAnswer: -252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*x**3 + 349*x**3 - 125*x**3 - 109*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-16)\/(o**7*o)*(o**(1\/2)\/o)**(2\/165) assuming o is positive.\nAnswer: o**(-3961\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1116, -983, -848, -711, -572?\n\"Answer: x**2 + 130*x - 1247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 426 and 71.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -1\/60*k**5 - k**2 - 25\/96*k**4 - 51*k + 0*k**3 + 0. Factor v(o).\nAnswer: -o*(4*o + 25)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d**(-1\/5)\/d))\/d)**(1\/18)\/((d*d\/d**10)\/d**2))**(5\/9) assuming d is positive.\nAnswer: d**(151\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 7*m - 2. Let l(s) be the third derivative of 13*s**4\/24 - 2*s**3\/3 - 7*s**2 - 5*s. Determine 11*b(p) - 6*l(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2 + 5*c - 3. Let h be w(-3). Solve 3*n + 2*n = b - 6, n + 2*b - 1 = h for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b7 - 4828?\nAnswer: -4923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/7)\/((t*t\/t**(-18))\/t)*(t**(-6\/7))**(1\/7) assuming t is positive.\nAnswer: t**(-951\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 15 - 25. Let j = 12 + g. Let d = j + 10. Solve 5*r - 5*h = -20 - 10, -3*r + 5*h = d for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*v + 69*v = 5*z, -5*z + v = 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -134\/175 + 12\/25. Let g = 95 - 112. Which is greater: u or g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**6\/10 + 3*q**5\/5 - 4*q**4 - 32*q**3 + 2*q - 330. Find d, given that i(d) = 0.\nAnswer: -4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 588 and 593188512?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.83 rounded to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 28 = -16 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3665153 - -3?\nAnswer: 3665156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100 + 100 - 73*s**3.\nAnswer: -73*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -45085038 or -90170077\/2?\nAnswer: -45085038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/14)\/(-1)*7. Let p(w) be the first derivative of w**3\/3 - 3*w**2 + 1. Let k be p(h). Solve -3*z = 2*u - k - 17, 0 = -4*u + 4 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/19 in 0.3, 0.1, -0.4, 0.9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2206*x**2\/3 + 40445*x - 275\/3 = 0. Calculate x.\nAnswer: 5\/2206, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 3 + 3)*(2 - 3 + 3) + 1382*t - 3094*t + 6115*t + 1218*t.\nAnswer: 5625*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 33, 127, 279, 489, 757?\n\"Answer: 29*t**2 + 7*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 3:55 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 449.68 - 418. Let f = 0.68 - m. Let k = f + 30.6. What is the second smallest value in -1, 4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 4 - (-486 + 500)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 8*s**3 + 6*s**2 - 3*s + 9. Let x(f) = 6*f**3 + 6*f**2 - 2*f + 8. Let t(g) = 2*h(g) - 3*x(g). Let w(q) = q**3 - q**2 - 1. What is t(n) - 6*w(n)?\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4315 or -5174?\nAnswer: -5174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -802 less than or equal to -797?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 127, 0 in ascending order.\nAnswer: 0, 1, 4, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aavfalaar. What is prob of picking 1 r and 1 l?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 - 38080*d**2 + 914521*d + 952600.\nAnswer: -(d - 25)*(d + 1)*(d + 38104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a19331 (base 11) to base 14.\nAnswer: -308aa3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 5*w**2 + 12*w + 14. Let v be j(10). Let n = 376 + v. What is the remainder when 96 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2 = -11, -5*d - 103 = -2*p. Let m = p + -52. Suppose -2*v = -m*v + 10. Solve -s = -0*s - v for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 6) + (48 - 38).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 - -13 - 6 - 0\/(-1). Solve -3*q - 11 = 4, -j*q - 20 = -2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**2 + 1050461*h - 1137258.\nAnswer: 4*h + 1050461","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9 - 11)*1454\/(-12). Let w = r + -239. Solve -10\/3*g**2 + w*g**3 + 1\/3*g**5 + 5\/3*g - 5\/3*g**4 - 1\/3 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (26 - -1) + -1 + -1 + 11 + -10\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1677148 divided by -811?\nAnswer: 2068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -71*t**2 + 1\/3*t**3 + 0 + 212\/3*t.\nAnswer: t*(t - 212)*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-3))**(5\/14)\/(h**(-9)\/h*h\/((h\/h**(3\/8)*h)\/h)) assuming h is positive.\nAnswer: h**(499\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12643476912 + 12643476912 + 2*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*d + 4*d**3 + 17*d)*((2 + 2 - 2)*(-10 + 2 + 1) - 2 + 1 + 0).\nAnswer: -60*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 219*v + 82. What is the tens digit of y(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vij. Give prob of sequence ji.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -476, 17, -3\/8 in ascending order.\nAnswer: -476, -1, -3\/8, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*a**4)*a**0)\/(a**(-7)\/(a**(2\/13)\/a)))**22)**(1\/32) assuming a is positive.\nAnswer: a**(77\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/12, -1, -0.2, 1044, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/10*17*3\/(-153)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.8 - -11.7. Which is the closest to g? (a) 0.7 (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.13 - 0.07. Which is the nearest to -1\/2? (a) -3\/2 (b) -11 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 0*t**3 - 4\/3*t**4 + 0*t**2 + 131*t + 0. Let u(r) = 2*r**2. Give a(u(k)).\nAnswer: -64*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/6 + 2650297*s**2 + 10601189*s\/2 + 7950892\/3.\nAnswer: -(s - 15901784)*(s + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -21. Let f(j) = -j**2 - 11 + 4 - 3 - 10*j. What are the prime factors of f(d)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.8 - 4.8. What is the fourth smallest value in p, -2\/43, -2, -0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/3342 and 57\/1301152.\nAnswer: 3903456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 20 = -2*q. Is -5 less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 6. Suppose -16*w = -17*w + 33. Calculate the remainder when w is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/3424 and 39\/8?\nAnswer: 3424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 26\/5 of a centimeter?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*w - 13*w + 2*w = -784 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1*sqrt(3) + sqrt(3)) + sqrt(3) - (-5 + sqrt(12)\/sqrt(4)))**2 + sqrt(300) + -3*(sqrt(300) + -1).\nAnswer: -20*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/(-5))\/(10\/(-25)). Is 112\/(3\/w*1) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 85555725\/(-35) + 10\/35. Let g = -704449 - t. Round g to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence unux when four letters picked without replacement from {n: 1, w: 2, x: 1, u: 2}.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21271, 42544, 63817?\nAnswer: 85090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -283, -740, -1203, -1672?\n\"Answer: -3*t**2 - 448*t + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 205657 to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*8*10\/48*9\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llqllq. What is prob of picking 2 q and 1 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) 84 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -88*x**2 + x**2 + 1650*x**2 + 7551*x**2 + 6752*x**2 to the form p*x + a + k*x**2 and give k.\nAnswer: 15866","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -4. Let z = f - -3. Suppose z*x + 6 = 24. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**4\/24 - 5*g**3\/3 - 3*g**2. Let k(t) = -t**2 + 3*t + 14. Let d be k(5). Suppose 13 = -c - u, 3*c + 8 = d*u + 4. Give m(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1498 by 20208.\nAnswer: 749\/10104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284841 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j**2 - 17*j - 26. Let q be l(-9). Suppose 6*i - q = 473. Let v be (-84)\/(-18)*(-9)\/(-3). What is the highest common factor of i and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 438*w + 3913. Give p(-9).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*n + 12 = 0, -5*z = -3*n - 15 - 0. Suppose 0 = p - 5*l - 1, -p = -4*p - 5*l + 3. Let u = p + 3. Solve u*m - 1 = z*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -0.1, 1, -2, -41.66, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g - 4. Suppose 0 = -6*j + 5*j - 4. Let t be (j + 2)\/((-4)\/6). Let q be w(t). Is 2 not equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 42 = -67. What are the prime factors of 30\/50 + 1142\/d?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3918?\nAnswer: 2, 3, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13\/5516, 3\/8, 15 in increasing order.\nAnswer: 13\/5516, 3\/8, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -2.3, -2\/11, -10\/511, 5.\nAnswer: -4, -2.3, -2\/11, -10\/511, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 315538695*w**3 - 342*w**2 - 23764*w - 3.\nAnswer: 1893232170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 1 (c) -0.5 (d) 5 (e) -26 (f) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/4, 1\/2, -2453, -2.\nAnswer: -2453, -11\/4, -2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let n be ((429\/(-44))\/(-13))\/((-2)\/(-8)). Let r be 2 + n\/(-12) + (-5)\/(-4). Find x such that -1\/2*x**4 + 1\/6*x**r - 2\/3*x**5 + 0*x + 0*x**2 + 0 = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -2\/77?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 + 107 = 5*p - x, 0 = -p + 3*x + 31. Is p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 10*i**2 - 18*i - 11. Let v be q(-8). Let f be 3\/v - 10491\/(-65). Suppose -8*r = r - f. What is the lowest common multiple of 6 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3804441089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 316 (base 8) in base 10?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 13 (b) -5 (c) 0.5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x**3 + x - 2. Let k be m(1). Suppose 0 = 5*u - u + k. Are 1\/4 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20052118 greater than or equal to -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*q**5 + 1137*q**4 - 18*q**3 - 11061904*q**2 wrt q.\nAnswer: 300*q**2 + 27288*q - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 83, -7 in ascending order.\nAnswer: -7, -5, 5, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 724967 and 724970 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 660493 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 8:18 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of c**3\/3 + c**2\/2 + 3*c + 1. Let x be d(-3). Solve 3*g = -0*g - x for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2792274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 151*f**3*w**3 + 2*f**2 - w**3 - 6 wrt f?\nAnswer: 906*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 11*q**2 - 2*q**2 - q**3 - 5 - 7*q + 0 - 5. Let o be d(8). Let c be (-28)\/12 - o\/6. Let p(f) = f**3 + 3*f**2 - 2. Calculate p(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -o**4\/12 + 39*o. Suppose 2*i - 180 = 24. Let f(m) = i*m - 21*m**2 - 102*m. What is f(r(z))?\nAnswer: -21*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**3 - 30*o**2 - 9*o - 3. List the prime factors of q(-16).\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2, -3, 23, 2, 2557 in descending order.\nAnswer: 2557, 23, 2, -2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 2*s - 6. Suppose -11 = 3*w + 1, b = 5*w + 41. Let x = -43\/2 + b. Which is greater: s or x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1302203*c**3 - 1302200*c**3 + 46 - 7 + 5*c**2 as w*c**3 + i + n*c**2 + v*c and give i.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5*y = 36, -4*x + 49 - 1 = 5*y. Suppose -v + x = -0*v. Let f = v + 2. What is the remainder when 41 is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h + 3*h - 5*h - 9 + 0*h. Let w be l(8). Let q = 2 + -6. Which is the second smallest value? (a) -2\/9 (b) q (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(-25) + 54\/35. Let m = 884\/3241 + 6\/463. Solve 10\/7*g**2 - o*g**3 - 4\/7*g + m*g**4 + 0 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1421614952.\nAnswer: 2, 2111, 84179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3068*h = 1905*h - 318272 for h.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89 = 5*k + 3*o - 105, 0 = 4*o - 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2509, 8248, 17811, 31198, 48409, 69444, 94303?\nAnswer: 122986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 2*w - 1. Let y be (3\/(-2))\/((-3)\/(-4)). Let l be f(y). Which is bigger: l or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 334*w + 3*w**2 + 334*w. Let l(y) = -53*y. What is q(l(p))?\nAnswer: 11236*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1501 and 0.4.\nAnswer: -1500.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 32551419623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 19*j**3 + 2*j**2 - 2. Let n(k) = -39*k**3 + 10*k. Let m(c) = 39*c**3 - c**2 - 12*c + 1. Let y(q) = -5*m(q) - 6*n(q). Give -5*a(x) + 2*y(x).\nAnswer: -17*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 9:55 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/34)\/((o**(-2\/9)*o)\/o) assuming o is positive.\nAnswer: o**(77\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -195770, -391539, -587332, -783161, -979038, -1174975?\nAnswer: -1370984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -5*x**3 + x**2. Let s(o) = -4*o - 1. Let a = 3 + -4. Let l be s(a). Suppose 4 = 5*n - 3*g - 3, 4*n - l*g - 8 = 0. Give z(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 20. Which is the closest to 1? (a) -0.2 (b) p (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -42 + (-1 - 1 - -2). Let v be n\/(-9) - 4\/6. Solve 2*x - a + v = -4, -5*x + 4*a = 17 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1165\/4 - 291. What is the nearest to -0.3 in -27, a, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1786703.7 to the nearest one thousand.\nAnswer: 1787000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 b when three letters picked without replacement from dbldlddb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + 3 - (0 - 1)) + (-103 + 99 - -38)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g. Let k(x) = -3 - 54*x + 3 - 3*x**2 + 12*x**2 + 48*x. What is l(k(j))?\nAnswer: -9*j**2 + 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54825066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 93, 91, 87, 81, 73, 63?\n\"Answer: -q**2 + q + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -5. Suppose 4*a + 22 - k = 0. Let x be (1 + a)*(-35)\/20. What is the highest common divisor of 14 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from nnnnnnntnnnntnntnnnn?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -496*d**2 + 133 - 133 - 1083*d + 1083*d.\nAnswer: -496*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + c = 9 - 19, -c + 5 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -4771150883329 and 3.2.\nAnswer: -4771150883325.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 926\/10 + (-32)\/(-80). Let t(v) = -f*v**2 + 3*v + 47*v**2 + 6 + 45*v**2. Give t(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219939*a**2 + 219939*a**2 + 148*a**3.\nAnswer: 148*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 + 4)*(z + 2*z - z)*(-2*z**2 + 2*z**2 - 4*z**2 - 2*z).\nAnswer: -48*z**3 - 24*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1439, 3003, 4707, 6623, 8823?\n\"Answer: 12*n**3 - 2*n**2 + 1486*n - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35352935 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00014419953 to 6 dps.\nAnswer: 0.000144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/1604400 and 31\/40110.\nAnswer: 1604400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 3*k - 12, -5*k + 13 = -q - 7. What is the nearest to q in 1, -3\/2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*b + 41 - 69 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 18*u**2 + 72*u + 8. Give c(-10).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 391 and 161.\nAnswer: 2737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.2, 0.1, 4, 7177, -1\/5.\nAnswer: -4, -1\/5, 0.1, 0.2, 4, 7177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2523 by 615.\nAnswer: 841\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 274?\nAnswer: 109.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - -32. Suppose 2*b - 1 - z = 0. Sort -4, b, 1, 4 in decreasing order.\nAnswer: b, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3)\/u)**(-50)\/(u\/u**(-1\/23))**(7\/2) assuming u is positive.\nAnswer: u**(4516\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, w: 6, g: 2, i: 1}. What is prob of picking 1 x and 1 w?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8818*v + 1 - 8962*v - 8962*v + 6*v**3 - 8965*v + 35707*v.\nAnswer: 6*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*g + 7*g + 32*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011004423 (base 5) to base 11.\nAnswer: 1179343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17811 is divided by 97?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*p - 28055 - 54713 = 0. List the prime factors of p.\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22.7 - 22.9. Which is smaller: w or -501?\nAnswer: -501","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 447 + 680 = -4*p, -p = 4*k - 1490. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 90\/2 + (-22)\/11. Let o = z - 40. Suppose o*c - 178 = c. Does 15 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -20516 - -20530. Let l(j) = -20*j + 281. What is l(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, z: 1, h: 1, o: 2, d: 8}. What is prob of picking 1 h and 3 d?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 191927 and 82187?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4286000 rounded to the nearest 100000?\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 172 - 11a9?\nAnswer: -1037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5027 + -2375. Does 39 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1131 and 232.\nAnswer: 9048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*1)**2*-4 + (sqrt(19) + (1*sqrt(19))**2 + -5 - (sqrt(171))**2*-2).\nAnswer: sqrt(19) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16316)\/(-28) + (-8)\/(-28). Let m = i + -72. Round m to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 369*h - 54 = 366*h + 2*a, -4*a + 164 = 11*h for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 362220 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 197111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -14*l**2 - 17256*l - 1. Let r(y) = y**2. What is z(r(k))?\nAnswer: -14*k**4 - 17256*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 a factor of 151219992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 4*u + 785. Suppose -i + m = -u, 3*i = 2*m - 5*m + 495. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*d**3 - 835 + 835 - 2*d**3 + 2*d**3 - d**3 + (d**2 + 0*d**2 - 3*d**2)*(2*d + d - d) - 4 - d**3 + 4.\nAnswer: -23*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + q**3 + 1323*q - 1317*q - 9*q**2 + 1 in the form y + k*q**3 + l*q**2 + h*q and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2297734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 402 and 135206.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1785880 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of n**5\/30 + n**4\/24 - 3*n**2\/2 - 2. Let o(r) be the second derivative of a(r). Find the second derivative of o(m) wrt m.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -2 - 5) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 + 12*i + 5. Let w be r(12). Suppose -5*o + w = 2*b + 39, -181 = -b + 2*o. What is the highest common divisor of 21 and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 11*a - 19. Let n be w(3). Suppose -n*f - 12 = 72. Sort -3, f, -5, 0 in ascending order.\nAnswer: f, -5, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*v + 3086 + 1914 = 19*v for v.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-10)*1\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 165976, 331984, 498012, 664060, 830128, 996216, 1162324?\n\"Answer: 10*f**2 + 165978*f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49*v - 9*v**3 - 215*v + 2*v**5 + 1 + v**5 - v**3 + 25*v**3 wrt v.\nAnswer: 60*v**3 + 90*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 831 - 109. Suppose -5*s - c - 113 = 0. Let z = 160 - s. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -1\/10 (c) -2 (d) 3\/7 (e) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 8*m**2 - m + 4. Give f(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -1\/2, -0.4, -1\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((266\/(-342))\/((-14)\/(-12)))\/1)\/(2\/267).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zt when two letters picked without replacement from {x: 3, h: 3, t: 4, z: 2, l: 1, g: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 u, and 1 a when three letters picked without replacement from {a: 1, d: 1, u: 1, i: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2956361*5.\nAnswer: -14781805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -9 (b) -3\/4 (c) -0.8 (d) 0 (e) -4 (f) 1\/5 (g) -19\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hiawqimiammhihi. What is prob of sequence mw?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*r + 44 = 0. Let y(f) be the second derivative of -f**3\/6 + 13*f**2\/2 - 3*f. Let k be y(11). Calculate the greatest common divisor of r and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-16 - -8 - -13)) + -4 + -4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85470 and 5243714.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 742 and 136913.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 - 21 = 6*u. Suppose -7 = -3*f + z, -6*f = -u*f + z + 1. Solve 0 = -f*w - 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -1\/4 (c) -349 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, x: 1, a: 3, k: 1, e: 1}. What is prob of sequence kxa?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19386\/(-1077))\/(162\/(-3)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37376 divided by 4?\nAnswer: 9344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 676\/7 - 96. Let v = 0.15 - 0.53. Let i = v + -0.02. Sort p, -3, i in decreasing order.\nAnswer: p, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33650*w - 69660 = 32360*w for w.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 14*v**2 + 5*v - 21. What is the tens digit of h(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -3*x + 23, 3*x - x = 4*m - 18. Let c be ((8\/12)\/x)\/((-4)\/(-870)). Calculate the greatest common divisor of 58 and c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -139, -141, -143?\n\"Answer: -2*w - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3547 to two dps.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bddo when four letters picked without replacement from ddxddobdd.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 1312 = 4*m, 4*m - 5*m = 2*v - 873. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*g + 5*r - 0*r, -5*g + 9 = 3*r. Suppose 5*x - 64 = -z, 2*x + 2*z = -g*x + 32. What is the lowest common multiple of 14 and x?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/5)\/((144\/58)\/(-6)).\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*v - 752 - 1992. Which is smaller: 6 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-3*(-3 + sqrt(833) + -1 + sqrt(833))*3.\nAnswer: -630*sqrt(17) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1078.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ouutt. Give prob of sequence tt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/10)\/(45\/150)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-77)\/33)\/((-2)\/18). Let u(p) = 0*p + a*p**2 - p**2 + p - 1. Let i(v) = 7*v + 15. Let m be i(-2). Determine u(m).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ua when two letters picked without replacement from {h: 1, z: 1, a: 4, l: 6, u: 1}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -412*n + 280 = -230*n - 222*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -7 + 452*6\/248 - 4. What is the closest to 0 in -1\/6, s, 35?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 282.1, -3, 18, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1262 - 1185. Suppose 3*u - 13 = 8. Calculate the highest common factor of h and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/22995952 and -43\/785576?\nAnswer: 252955472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14144 or 5207?\nAnswer: 14144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -225104 or -223876?\nAnswer: -223876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 1:03 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.121 and -0.9.\nAnswer: -0.1089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324293.\nAnswer: 324293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 7*v**3 - 205*v**2 + 16*v + 221. Calculate d(29).\nAnswer: -997","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -133254 (base 14) to base 8\nAnswer: -2414412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/1*4\/5*(-685)\/7946.\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.6? (a) -13 (b) 0.05 (c) -267 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.7715 - -4369.7715. Let r = 4368.96757 - y. Let g = r - -0.032. Round g to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 3*x**2 - 3*x**2 + 3*x**2. What is the units digit of a(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1027 - 1010. Solve -17*x = -34 - s for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000336156073 to six dps.\nAnswer: 0.000336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + -1 + (sqrt(720) + -1 + 1)*-3).\nAnswer: -2 + 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1358 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) -3 (c) -6\/497 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9a027 - 2?\nAnswer: 9a025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -20*i - 25. Let h(s) = -5*s - 6. Let x(o) = 25*h(o) - 6*m(o). Let c(z) = 7*z. Determine c(x(q)).\nAnswer: -35*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 1 + (-10 - -3). Calculate the remainder when 13 is divided by (-28)\/l*(-6)\/(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49\/5, -9\/74, 939 in ascending order.\nAnswer: -49\/5, -9\/74, 939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -94\/67949?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46773\/8 - -5855. What is the common denominator of 57\/26 and d?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/9 or 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a - 94. Let l(h) = -1813736*h. Calculate c(l(f)).\nAnswer: 3627472*f - 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 1. Suppose -t - 13 + 36 = 24. Let j(q) = 23*q + 2. Give t*u(l) + j(l).\nAnswer: 22*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -7*d**3 - 55. Let s(c) = -4*c**2. Give j(s(q)).\nAnswer: -336*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32216 - 18235. Does 41 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14.789 - 16.789. What is the nearest to k in 0, -62, 1\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -53*w + 400 + 218 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-5424)\/(-17628)*(-130)\/(-32)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.369 - 0.191. Let k = -132.822 - x. Let y = -133.000191 - k. What is y rounded to 5 dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-9) + 48\/27. Suppose 0 = -5*w - 3*r - 15, -w + b = 3*r + 5. What is the second smallest value in 3\/5, 2, w?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 1416.\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -g + 38. Is 16 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u. Let w(z) be the second derivative of -3*z**2 + 1\/24*z**4 + 0 + 0*z**3 + 6*z. Let l(h) be the first derivative of w(h). Calculate l(t(k)).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 at least -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 11*r - 21. Let t be u(5). Let i = 235 + -136. Calculate the greatest common divisor of i and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159920530 is divided by 8412?\nAnswer: 8410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-20) + (-36)\/(-10). Suppose -3*f = b - 97, -r*b + 15 + 12 = f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.99 - 0.19. Let x = -8.9 + o. Is 25 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 + -25. Let a = y + 0. Let x(q) = q**2 - 8*q + 7. Let t be x(14). Calculate the greatest common divisor of a and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*p - 12, -8 = -p - t - 0*t. Suppose o + 4 = 0, 4*z - p*o = -z + 475. Calculate the greatest common factor of z and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*n + 19*n - 114*n - 1794 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 + (8 - (-7 + (-4 - (-7 + -22))))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-22)\/(-77) - ((-3944)\/14 + -2). Let j = h - 135. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 57612497 and 57612487 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 3*m + 10. Let j(u) = u + 1. What is -2*h(f) + 18*j(f)?\nAnswer: 2*f**2 + 12*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1346801 + -62?\nAnswer: -1346863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 316, 0, 4, -2, 3 in ascending order.\nAnswer: -2, 0, 3, 4, 316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.7 (b) 1.4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 2 - 2 - 2 + q + 2 + (-4 + 0 + 3)*(-2*q - 2*q + 3*q) + q + q - q - 2*q - q + 2*q)*(-3 + 1 + q**2 + 5).\nAnswer: 3*q**3 + 9*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*v - 20*v + 1810. What are the prime factors of v?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1952035.2 to the nearest one hundred thousand.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*i + 174. Let g = -352 + 227. Let x = i - g. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1886 = -43*j - 3*j. Solve j*b + 8 = 49*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1342911 rounded to 2 dps?\nAnswer: 1.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 203 - 101211323?\nAnswer: -101211120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 18*j + 6. Let l be m(-18). Let a = 15 + -11. What is the tens digit of (-625)\/(-10) + l\/a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - ((-4)\/(-1) - 81). Calculate the greatest common divisor of 16 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 10*w**4 + 110*w**3\/3 - 35*w**2\/2 - 15*w + 6. Factor p(t).\nAnswer: 5*(t + 3)*(2*t - 1)*(4*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2024\/680 - 158\/(-6715)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k. Let t(h) = -h + 0*h + h + h. Let l = 8 - 2. Calculate l*t(m) - 4*w(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**2. Let h(n) = -6282869*n**2. Determine b(h(s)).\nAnswer: 118423328613483*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 15.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4984.\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 206382 and 264.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3563661831?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -18. Solve -2*x + 4*t = -16, -3*x + g*t + 20 = -0*t for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48.264 + 39.0042. Let n = 0.2102 - x. Round n to 1 dp.\nAnswer: 9.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24373.57 rounded to the nearest ten?\nAnswer: 24370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of k**4 + k**3\/6 + k**2 - 9*k. Let x be z(-1). Solve -5*y = j + x, -y - 2*j - 5 = -j for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4930, -3083, -1240, 599?\nAnswer: 2434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(7\/4)\/c*c)*c)\/(c\/c**(-5)))\/(c**(-3\/17)\/(c**(1\/5)*c)) assuming c is positive.\nAnswer: c**(-1827\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -27289 and 183.\nAnswer: -27106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(189)*1)\/sqrt(3))\/(sqrt(9) - (sqrt(1089) + -2*sqrt(1089)) - sqrt(9)) + (sqrt(77)*3*2)\/(-2*(sqrt(11)*-3 - sqrt(11))))**2.\nAnswer: 9583\/1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + u + 2. Let z(h) = -13*h - 5*h**2 - 18 + 37 - 21. Let w(t) = -o(t) - z(t). Factor w(p).\nAnswer: 4*p*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 smaller than -9363\/1267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06474 rounded to three decimal places?\nAnswer: -0.065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/9 (b) 2.1 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.32, -8 in ascending order.\nAnswer: -8, 0.32, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3777663*b**4 - 3*b**3 + 34275793 wrt b.\nAnswer: 15110652*b**3 - 9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 21 = p, 4*p + i - 24 + 6 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 18. Suppose p = 5*z - 0*z - 10. Let i(s) = s + 4. Let j be i(-4). Solve -9 = -r + 4*a - z, -a - 1 = j for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160708.\nAnswer: 2, 40177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2352, -2342, -2318, -2274, -2204, -2102?\n\"Answer: k**3 + k**2 - 2354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 - 1. Suppose -6*t + d = -2*u - 4*t, -2*u - 16 = 2*t. Let p = -133 + 132.8. Sort u, 5, -4, p.\nAnswer: u, -4, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 128*q**5\/5 - 8*q**3\/3 + 5*q**2\/2 + 181. Find the third derivative of i(y) wrt y.\nAnswer: 3072*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n. Let g(m) = 5*m + 2. Let i(w) = -1. Let l(k) = g(k) + 2*i(k). What is l(y(d))?\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*3\/(-24)*-2. Let d(n) = -n**3 + n**2 - n + 1. Let k(w) = 24*w**3 + 5*w**2 - w + 1. Let z(s) = f*d(s) + k(s). Find the third derivative of z(v) wrt v.\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -4*b - 3, -2*b + 3*v - 6*v = 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 625 by 125.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 20 = -6*g + 4*g, 5*y - 2 = -2*g. Let w = 935 - 933. Find the third derivative of -11*x**2 - 258*x**6 + 2*x - w*x + 250*x**g wrt x.\nAnswer: -960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -8*b**2 - 24694*b - 98790. Give c(-4).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -1223*y + 425*y + 287*y + 323*y. Let m(g) = -3*g**2. Calculate w(m(p)).\nAnswer: 564*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, q: 12}. Give prob of picking 1 q and 2 w.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**31\/t)*t**(-23)*t*t*t**(25\/4)*t**5)**39 assuming t is positive.\nAnswer: t**(-6045\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*k**3 + 0 + 3\/4*k - 3\/4*k**5 + 3\/2*k**2 - 3\/2*k**4.\nAnswer: -3*k*(k - 1)*(k + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31906942?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a milligram in micrograms?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -320622197, -641244394, -961866591, -1282488788?\nAnswer: -1603110985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000027842 rounded to six dps?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/9)\/7*(3\/2 - -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 243941 and 98201?\nAnswer: 69035303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 54505.21 hours in seconds?\nAnswer: 196218756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3 + 12*v**2 + 8*v.\nAnswer: 4*v*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203 = 12*x - 40*x - 245 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115051909.\nAnswer: 7, 521, 31547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-8 - (-16 - 1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5*l, -4*l + j = -9*l. Suppose l = 2*b - 108 + 18. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1339.9 - 1340. Suppose 2 = 5*g - 18. Sort -4\/7, g, m.\nAnswer: -4\/7, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.59 - 0.19. Which is the smallest value? (a) 3 (b) y (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8587231, -17174469, -25761709, -34348951, -42936195, -51523441?\n\"Answer: -p**2 - 8587235*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 576\/(-546) + 300\/390?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3320650 divided by -25?\nAnswer: -132826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -2. Suppose -219 = -l*y + 436. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -b**3\/3 + 4*b**2 + 3*b + 1. Let r be j(7). Solve -5*w = -i + r, -2*i - 3*i + 6 = -3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 + -37?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2978 is divided by 964?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/3))**47*(b**(-2\/7))**31)**(-6\/25) assuming b is positive.\nAnswer: b**(-286\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -1 + 1\/5*y**2 - 4\/5*y = 0. What is y?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 63239.81ng?\nAnswer: 0.00006323981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/(-36)*(-12)\/(-90).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 680, -4, 4, -1, -5, 2, -31 in descending order.\nAnswer: 680, 4, 2, -1, -4, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 96\/41, 0.2, -1 in ascending order.\nAnswer: -1, 0.2, 96\/41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/7 + 9*c\/7 - 4\/7.\nAnswer: -(c - 4)*(2*c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 410995 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: Calculate (77\/14 - 5) + (-333)\/(-108)*6.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 7:28 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.144729 rounded to four dps?\nAnswer: 2.1447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 4*p**2 + 4*p + 3. Calculate t(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 10:11 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -7. Suppose 4*i = 2*u - 14, l = 2*u - 3*i - 7. Let y(k) = k - 2. Let b be y(2). Solve 2*a - s + 2 - u = b, 4*a - 3*s - 19 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-14) + (10 - 10). Which is the third smallest value? (a) 0.4 (b) -0.5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, -2\/5, 2, -2\/7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3910*y**2 + 2*y + 14. Let x(o) = 3*o. What is x(l(b))?\nAnswer: 11730*b**2 + 6*b + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/3 + 2 + -2. Suppose -7*l - 1368 = -11*l. Calculate the remainder when (l\/(-27))\/(f\/3) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 2)*(g - g**2 - g + (0 - 1 + 4)*(-1 + 2*g**2 + 1)) - 2*g**2 + g**2 + 2*g**2 + (-4 + 2 + 0)*(-2*g**2 + 3*g**2 + g**2).\nAnswer: -23*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4411 - 7*m + 1485 + 1462 + 1464.\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10022276 is divided by 16403?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a second in milliseconds?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v + 2. Let j be w(2). Let c be (-1 - -1) + -6 + 7. Let r be -1*c*2\/(-6). Which is smaller: j or r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 119 and 47243?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -223 + 127 - 56 - -86\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -26 - 3 - (4136 + -4255)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -40846, -40837, -40828, -40819?\n\"Answer: 9*j - 40855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/(-24)*48 + -5. Solve -2*c = -2*l - 6, 3*l + r = 5*c + 6*l for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 8*x - 12. Let w be q(-7). Let g = 21 + -9. Let s = g + w. What is the remainder when s is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (5 + -1)) + -7 + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - r**2 - r - 1. Let z(i) = 14*i**3 + 4 + 0 + 7*i**2 + 4*i - 19*i**3. Calculate -4*b(a) - z(a).\nAnswer: a**3 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4395 = 3*v + v, -3*v + 3305 = 5*c. Let d be (-3472)\/(-6) + 5\/15. Let o = v - d. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((-1)\/4)*(-162)\/(-8). Suppose 0 = -3*y + 120 + g. Calculate the remainder when y is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10\/3 + 4. Which is the closest to -21\/13? (a) j (b) -2\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**1\/m)\/m)**(-1\/3))**(-14) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87946?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(c + 3 - 3)*(-23*c**3 + 2*c + 0*c + 18*c**3).\nAnswer: -5*c**4 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22939243197049*n**3\/5 - 38315944*n**2\/5 - 16*n\/5 = 0. What is n?\nAnswer: -4\/4789493, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -110157\/340 + 1619\/5. Let z = y - 309\/340. Calculate the common denominator of -51\/4 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1194838.\nAnswer: 2, 597419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/16 of a day?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 6. Suppose 0 = -5*j + w + 31, -6*w = j - w - 1. Let f = j - d. Let s(m) = -2*m**2 + m. What is s(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1300) + 2)*4 + sqrt(1300) + 3 + sqrt(1300) + 4 + -1.\nAnswer: 14 + 180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f + 2*f - 1520. Let x = -560 - -579. What is the greatest common divisor of f and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-16)\/(-8)*(-69)\/966?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, w: 1, k: 3, x: 4, u: 6, p: 4}. What is prob of picking 2 k and 1 p?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 47*s**3 - 9*s**2 + 6*s - 3. Let t(u) = -92*u**3 + 18*u**2 - 10*u + 5. Determine -5*q(f) - 3*t(f).\nAnswer: 41*f**3 - 9*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 7:52 PM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2624636 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, h: 1, l: 4}. Give prob of picking 1 j and 3 l.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -240 >= -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by 119.\nAnswer: 20\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a gram in milligrams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20\/99231097 or 0?\nAnswer: -20\/99231097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3956*a - 3956*a + 15*a**3.\nAnswer: 15*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 0) + -15 - (4 + -7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17.8 - 18.39968. Let k = 0.6 + d. Round k to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 30 + -10 + (-12 - -12).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 4 + -5)*3\/(-39).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 44+507\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1377) + -3))**2.\nAnswer: -486*sqrt(17) + 12474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -962, -1956, -2986, -4070, -5226, -6472, -7826?\n\"Answer: -3*p**3 - 973*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 - 146*k - 1233.\nAnswer: -(k + 9)*(k + 137)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-25)\/(-3) + 10\/(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9339 = 4*l - 5*c, 2*l - 3*c - 11664 = -3*l. Does 17 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.4 - -2. Let y = 0 + c. Let h = 2 - 2. What is the third smallest value in -0.3, y, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -106 and -7\/13 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 124358 or 124356?\nAnswer: 124356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of m**4\/6 + 3*m. Let i(q) = -q + 5*q - q. Calculate z(i(w)).\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -4 + -12 - 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -n**2\/2 + 47*n + 22. Let x be v(16). What is the greatest common divisor of 62 and x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 46274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eplh when four letters picked without replacement from {h: 1, l: 1, p: 3, e: 3, y: 2}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 100302 (base 4) to base 12\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 650734.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**4 - a**3 - a**2 - 5*a. Let s(i) = 12*i**4 - 215*i**3 - 1259*i**2 - 2567*i - 1680. Let h(o) = s(o) - 11*w(o). Factor h(m).\nAnswer: (m - 210)*(m + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6169 - 6171. Which is the second smallest value? (a) 1\/3 (b) 933 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 1. Let j be b(0). Let s be 8 - (-2 - (-3)\/(-12)*0). Suppose 0 = 2*q + 3*g + s, -4*q + 0 = -g + 6. Sort 5, q, j.\nAnswer: q, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 + 104*o**2 - 1115*o + 2850.\nAnswer: (o - 5)**2*(o + 114)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + (sqrt(65) - (3*sqrt(65)*2 + sqrt(65))))\/(sqrt(30)\/(sqrt(6)*2 - sqrt(6))).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113451950.\nAnswer: 2, 5, 2269039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k - 68 = -16. Solve 0 = 2*y - k*y - 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112 + -32?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 6*x**2 - x + 5. Let c be p(6). Let w be -1*(2 + c) + 3. Which is bigger: w or -1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*194813.\nAnswer: 779252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1212927.99938 - 1212885. Let l = 43 - j. Round l to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6255.8 from -0.36087.\nAnswer: -6256.16087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 82733, 330919, 744547, 1323617, 2068129, 2978083, 4053479?\n\"Answer: 82721*d**2 + 23*d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 289*y - 15*y**3 - 2 - 289*y to b + p*y**2 + t*y**3 + q*y and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -15. Suppose 5*o - 3*o - 8 = x. Suppose -2*y + 2*s = -o, -2*y - y + 4*s + 2 = 0. Solve -5*n = -3*g + 4, y*n + 2*g - 10 = 2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199*t - t**3 - 570*t + 206*t - t**3 + 163*t.\nAnswer: -2*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5*-3*sqrt(612)*4)**2 + (((sqrt(68) - (-1*sqrt(68) + sqrt(68))*-1) + sqrt(68))\/sqrt(4) + -3)**2.\nAnswer: -12*sqrt(17) + 2203274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4101*n**2*u**2 - n**2*u + 34*n**2 - 31*n wrt u.\nAnswer: 8202*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 490523?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/4*(-23)\/598*13?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8727256 rounded to one decimal place?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (420\/24)\/5*(-168)\/(-70)*10\/(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l = 14614 - 14686 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 34994*h**3 - 42*h**2 - 6881. Let t(s) = 11664*s**3 - 12*s**2 - 2294. Let b(c) = -7*t(c) + 2*x(c). Differentiate b(k) with respect to k.\nAnswer: -34980*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3958*1\/15 - (-54)\/405?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*a**2*c**3 - a**2*c - a*c**3 + 581*c**3 wrt a?\nAnswer: -8*a*c**3 - 2*a*c - c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008807 rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l. Let z(v) = 6*v**2 - 5*v**2 + 13*v**2 + 6*v**2. Give z(y(w)).\nAnswer: 20*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/25 + (105\/1050)\/(10\/1208). Solve -11*f + 9*f = -5*r - 28, -c = r - 2*f for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 + ((-12)\/(-10))\/(18\/(-45)). Let r(p) be the first derivative of -2 + 0*p**2 - 3\/2*p**g + 0*p**3 - 4*p. What is the derivative of r(i) wrt i?\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -6*z**2\/11 - 362*z\/11 - 120\/11 = 0.\nAnswer: -60, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6986610, -6986607, -6986604?\n\"Answer: 3*s - 6986613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 g when four letters picked without replacement from gevvvvveeevgvgvveveg.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 40\/12*9\/6. Suppose 2*z + b - 3 = 0, -3*b + 14 + u = -4*z. Let m(h) = -h**2 + h + 1. Give m(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442433 is divided by 147472?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n\/(n*((n*n**(2\/7))\/n)\/n*n))\/n*n**(-4))\/(n**1)**(-8\/9) assuming n is positive.\nAnswer: n**(-214\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.48 - -2.65. Let w = 2.83 - n. Let l = -0.05 - -0.11. Which is the third smallest value? (a) -4 (b) l (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 24542?\nAnswer: 24542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -260, -250, -250, -266, -304, -370?\nAnswer: -470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddwwddwwlrqkw. What is prob of picking 1 w and 1 q?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5707 and 559?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 0*a**3 - 2*a**2 + 2 - a**3 + 7*a**2 + 7*a. Let k be l(6). Solve -i + k = i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1294958 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: What are the prime factors of 687835237?\nAnswer: 3989, 172433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -0 - 63. Let q = o - -19. Let l = 3262 - 3265. What is the third biggest value in 0.3, -4, l, q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46)\/12 + 129\/387 - ((-148)\/40 - -2).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60 - -52. Let u = m - -24. Differentiate 0*h - 2 + u - 30*h + 16 wrt h.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y*(y*y*y\/(y**(-9)\/y*y))\/y)\/y)\/y**(-1\/5) assuming y is positive.\nAnswer: y**(61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**4\/11 - 1172*f**3 + 6*f**2\/11 + 38672*f\/11 - 2344 = 0. What is f?\nAnswer: -6446, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 305 + -187. Let t = h - 4. What is the greatest common factor of t and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*66)\/(-77 - -83)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**4\/11 - 104*j**3\/11 - 1836*j**2\/11 - 11560*j\/11 - 9826\/11 = 0. Calculate j.\nAnswer: -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1856 (base 11) to base 10.\nAnswer: -2360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1308059*z**5 + 2*z - 11091342?\nAnswer: -26161180*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 191, 14 in descending order.\nAnswer: 191, 14, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 845.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -97 + -16. Let k = h + 115. Suppose 30 = 19*u - 13*u. Calculate the smallest common multiple of u and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 469360.\nAnswer: 2, 5, 5867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**3 - 780*l**2 - 76438*l - 75660 = 0. Calculate l.\nAnswer: -195, -194, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*v - 7662 = 86892. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -27.33\nAnswer: 5.466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**3\/6 - 31*k\/6 + 5 = 0?\nAnswer: -6, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 45, 46?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -340*v**3 - 31 wrt v?\nAnswer: -1020*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + -1 + (1 - -19). Suppose 4*w - 29 = -4*j - 9, 0 = 5*j + 4*w - u. Let m(t) = -t + 2. Let h be m(0). Which is bigger: j or h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - y**2 + y + 4. Let q = 59 - 59. What is t(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4962*w - 29767. What is s(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8102?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 + 48. Factor 78*g**2 + s*g**3 + 48*g + 37*g + 24 - 7*g + 2*g.\nAnswer: 2*(g + 3)*(3*g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 21 = -3*f, -3*f + 18 = -f - 4*t. Suppose d = -2*a - 20, -2*a - f*a = -d + 1. Let v = -4 - d. Solve h + 4*i + 3 + 15 = 0, 2*i + v = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 5*w + 15, -3*w - 15 = -0*q + 3*q. Which is the closest to 1? (a) -5 (b) q (c) 4\/5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29564.\nAnswer: 2, 19, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(4\/28*(0 + 7))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-11*q**2 + 2*q**2 - 6*q**2)*(-1591*q + 1599*q + 0 + 1) + 0*q**3 + 3*q**3 - 2*q**3)*(0*q - 10*q + q - 1).\nAnswer: 1071*q**4 + 254*q**3 + 15*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 0 - 2 - 2*k + 0*k. Let p be j(3). Let o be 2\/8 + p\/(-32). Is 1\/2 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1623661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-1*(-2 - -3)). Let f = w - -6. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4232 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 17*x**2 + 7004*x - 111834. Determine o(16).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17317424 to the power of 1\/4, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.02 (b) 3 (c) 1\/2 (d) 75 (e) 274\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h + 4*h - 3*h. Let w(x) be the first derivative of -13*x**3\/3 + x - 30067. Calculate w(l(s)).\nAnswer: -13*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -494*o + 82 = -62*o + 37 + 45. Solve -16\/5*c**2 + 2\/5*c**5 - 4*c**3 + 0 + o*c - 2\/5*c**4 = 0.\nAnswer: -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (45\/(-12))\/((-3)\/104). What is the highest common factor of h and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 36 - 11*k**2 - 14*k + 23*k**2 - 13*k**2. What is the remainder when x(-11) is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1121224 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/((t*t**(-7)\/t*t)\/t))\/t*t*t*t\/(t\/(t\/t**(-1))))**24)**(-5\/2) assuming t is positive.\nAnswer: t**(-660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmrkvmsvrv. Give prob of sequence vsv.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 6:42 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 6*t**3 - 70*t**2 + 601*t + 10. What is the tens digit of c(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -6. Let c = 8 + a. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 2*a**2 + 4 + 3*a**2 + a - a + (0 - 5*a + 0)*(2*a - 6*a + 3*a) - a**2 + 3 - 3 to the form v*a + i + l*a**2 and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 2*c**2 - 17 - 13)*((-c + c + c)*(0*c + 2*c + 2*c) + 1 + 2*c**2 - 1).\nAnswer: 12*c**4 - 132*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 - (10 + -13) - (-3 + -1). Suppose 1960 = k*w + 4*h, -3*w - 12*h + 2960 = -11*h. List the prime factors of w.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 8*z - 12. Let h be n(11). Let a = h + -49. Let d be (7 - 8 - a) + (-1 - 1). Calculate the highest common factor of 25 and d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 65 + 10 = 0. Let y = -13 - n. Suppose -2*o = 3*x - 121, y*o - 2*x + 3*x = 115. Calculate the least common multiple of o and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*d - 7 = 0. Suppose 2*q = v + 3, -4*v - 3*q = -v - 18. Let x = v + d. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6\/u**(-14))**34 assuming u is positive.\nAnswer: u**680","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 0 (b) 70 (c) -1\/12 (d) -2 (e) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -4 + 2 + 8\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 493.2262 centimeters to kilometers.\nAnswer: 0.004932262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -902 = -238*m - 188. Sort -0.003, m, 0.1, -5.\nAnswer: -5, -0.003, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10304831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 436\/(-4)*(2625\/(-1750))\/(1\/(6\/(-9)))?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 q when three letters picked without replacement from {c: 2, b: 1, p: 1, z: 1, l: 1, q: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z - 480 = -20*z - 67*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3725683144 to the power of 1\/3, to the nearest integer?\nAnswer: 1550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 1. Let n(l) = -27*l**3 + 54. What is -n(j) + 54*z(j)?\nAnswer: 27*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.35 + 12.12. Let y = -0.23 - d. What is the second smallest value in 0.4, -0.4, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 29\/(-1))\/(22\/(-77)). Let j = a + -108. What is the tens digit of (-30)\/(-75) - 556\/j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 527 - 161. Let p = 368 - i. Sort -124, p, 1\/3 in ascending order.\nAnswer: -124, 1\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -9*a**2 - 81*a + 100. Let j be l(-10). Solve j*o - 37*o - 108 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 9 (c) -0.5 (d) 0.3 (e) 119\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 2*j - 80 = 0. Suppose -877 = -4*l + 3*d, 4*l - 5*d + 8*d = 883. What is the greatest common divisor of l and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-6 - -6) + 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -14*b - 1. Let z(r) = 33*r - 30. Determine h(z(w)).\nAnswer: -462*w + 419","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l + 3. Let m be -1 + 4\/2 + 0. Let u(t) = -1 - 24 + 8 + 9 + 7. Let a(o) = m*d(o) + u(o). Determine a(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31 + -1 - 18\/(-6)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**5\/3 + 1970*b**4\/3 + 242056*b**3\/3 + 1751680*b**2 = 0.\nAnswer: -1840, -102, -28, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.686 - 0.096. Let t = h - 6.09. Which is the biggest value? (a) 10 (b) -2\/3 (c) 5 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21370003 + 21370003 + 57*r.\nAnswer: 57*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2 (b) 44 (c) 38 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4371 + -4371.2309. Round x to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.3, 1, -1, -52?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -64*u - 3 - 1 + 59*u to b*u + t and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-3 + 2 + 1 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2 + q**3 - 2*q**2)*(173*q + 4818 - 4818).\nAnswer: 173*q**4 - 346*q**3 - 346*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 210293710 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2059 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -658618 - 242040. Let a = 150658 + b. What is a rounded to the nearest 10000?\nAnswer: -750000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*a - x + 8 = 0, 0 = -3*x - 12. Calculate the least common multiple of 3 and 102\/10 - a\/(-15).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/7)\/y*y)**(-47) assuming y is positive.\nAnswer: y**(47\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -128*y**5 + 354324*y**4 - 55360*y**3.\nAnswer: -4*y**3*(y - 2768)*(32*y - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/6*11*165\/484?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5488363 and 32930178.\nAnswer: 32930178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of 7*c**6\/90 + c**5\/15 + 13*c**3\/6 - 4*c. Let r(q) be the second derivative of f(q). Factor r(y).\nAnswer: 4*y*(7*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5344141 (base 7) to base 11.\nAnswer: 404165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4187 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4705 is divided by 74?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -3414\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (((sqrt(132) - (sqrt(132)*1 + sqrt(132))*5) + sqrt(132))\/sqrt(6))\/(1*sqrt(54)\/sqrt(3)))*1)**2.\nAnswer: 16*sqrt(11)\/3 + 713\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11101 (base 2) to base 16\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 608182 is divided by 853?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 16 = c, o + 2 = -3*c - 6 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28180\/143 + 2166\/11. Sort 5, 36, f, 2 in descending order.\nAnswer: 36, 5, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107804*-22.\nAnswer: 2371688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 6) in base 16?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.037 and 6.115.\nAnswer: -0.226255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 3*q + 2. Let c be i(5). Let s be (-2)\/(-3) - (-40)\/c. Suppose 2*r + s*p - 2642 = 2508, 2*r - p - 5135 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -4*c + 1, -4*c - 176*t + 178*t = 14 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1921004*m**4 - 997204*m wrt m?\nAnswer: 23052048*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(63\/70)\/(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkruokr. Give prob of sequence rr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3271 + 16117 + 47670 = 246*i. Which is the closest to i? (a) 1\/4 (b) -0.3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 132870 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -51908, -207587, -467054, -830309, -1297352, -1868183?\n\"Answer: -51894*x**2 + 3*x - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-11 - -5) + 10 + (9 - 39)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-15)*-5 - -112. Let j = 134 - p. Solve 4*y - 5*s - j = 0, -6 + 15 = y - 2*s for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9407000 rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 68*k**3*v**3 + 424998*k**3*v**2 - 119*k**2*v**3 - 29547*v**3 wrt k.\nAnswer: 408*v**3 + 2549988*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2\/6 + 460*b\/3 - 21160\/3.\nAnswer: -5*(b - 92)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24718768312 - 1494.\nAnswer: 24718766818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + p - 188 = r, 3*p = -12. Let o be 220\/46*4\/r. Let u = 2\/69 - o. Is 0 less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 60 = -6*h + 7*h, -2*h = 5*u - 125. What is the remainder when 198 is divided by h?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 18. Let q(p) = p + 7. Let r be q(o). Factor 2*l + 2*l**3 + r*l**3 - 2*l**3 - 4*l.\nAnswer: 2*l*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3860 is divided by 428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 + 212002?\nAnswer: 211772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (91*1\/(-14))\/(2\/4).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3b + be2ac?\nAnswer: be2e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(85) + 2*sqrt(85)*-5 + (sqrt(85) - -2*sqrt(85)*4))\/(((sqrt(360) - sqrt(360)*2) + sqrt(10))\/sqrt(2))*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 13 = 5*k, 4*m + k + 2*k + 3 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*p + 0*p + 3*p)*(-3*p + 3*p + 2*p) - 2*p**2 - 2*p**2 - 3*p**2 in the form b*p + j + m*p**2 and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + 1 + sqrt(19) + sqrt(19) + sqrt(19)*1 + -5)**2.\nAnswer: -48*sqrt(19) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2574252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h + 3. Let d be x(0). Let o = -23 + 23. Suppose -443 = -2*y - o*y + 3*j, d*j = 3. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(300) + (0 + sqrt(300))**2*5 - sqrt(300)))*-5.\nAnswer: -7510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -98, -197, -292, -383, -470?\n\"Answer: 2*o**2 - 105*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1420114001 + 3?\nAnswer: 1420114004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s*(s\/s**(1\/13)*s)\/s))**(-1\/4) assuming s is positive.\nAnswer: s**(-1\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 1\/30, 4, 3 in descending order.\nAnswer: 4, 3, 2, 1, 1\/30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(36)\/(-2*sqrt(6))) + 0)**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21486731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1796.98438 - 1797. What is x rounded to 3 decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/67? (a) 0.02 (b) 5 (c) -53 (d) 0.3 (e) -3 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**2 + 61*l**2 - 34*l**2 in the form z + q*l**2 + y*l and give q.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bkj when three letters picked without replacement from {k: 3, b: 2, j: 5, p: 1, n: 7, z: 2}.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and 877 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2759 and 23591?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -5, 3\/4 in increasing order.\nAnswer: -5, 3\/7, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 9 = -23. Is (-1)\/(-4) + 940\/v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 42, 43, 44, 45?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 + 0.2. Let y = -85\/7 + 701\/56. Which is the third smallest value? (a) -1 (b) q (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 13117335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 61, -4, 10 in descending order.\nAnswer: 61, 10, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/321784 and -1\/1617388.\nAnswer: 61460744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 59 = 3*c + 58, -14 = -4*r + 2*c for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 83636291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = -3*v + 3*z + 51, 2*z + 106 = 5*v. Suppose l + v = 6*l. Suppose 0 + 28 = l*x. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 165510 and 810.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2582, -2586, -2592, -2600, -2610, -2622, -2636?\n\"Answer: -d**2 - d - 2580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 31*x + 96. Calculate s(-25).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 428222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1521\/16198 - 2\/4. Let b = -2\/89 + z. What is the third biggest value in -1, 1, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 21120 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.99 - -0.01. Let y = -171.7 + 11.7. Let m = y + 156. Which is the second biggest value? (a) m (b) t (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-15))\/((-6)\/(-15)) - (-93)\/124?\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8652 and 11124?\nAnswer: 77868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12777*h = 12753*h + 224 - 560 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82 and 488?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -5 + 11*u + 0*u - 12*u. What is o(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*v + 158*v = 1764. Is 42 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.107567+785\nAnswer: 785.107567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16857820 a multiple of 1271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 147 - 147 + 164*k as l*k + c and give l.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m**2 + 7*m**2 - 2*m**2 - 2*m**2)*(-6*m - 3*m + m) in the form v*m**3 + w + a*m + h*m**2 and give v.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 16 - 35*y - 13 - 19 - 1 + 5*y**2. Let c(a) = 2*a**2 - 12*a - 6. Let u(m) = 8*c(m) - 3*s(m). Determine u(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 187803568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57440 (base 14) to base 2.\nAnswer: -110011110010100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**3 - 19*p**2 - 9*p + 2. Determine w(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/(-15))\/(110\/(-825)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u. Let g be (-2)\/4*(-44)\/88. Let r(q) be the third derivative of 0*q**3 + 0 - q**2 + 0*q + g*q**4. What is l(r(h))?\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*(sqrt(117) + (-1 + sqrt(117))*-3))**2 - (2*(sqrt(1872) - (sqrt(1872) + 0 + sqrt(1872) + 2))**2 + -2).\nAnswer: -672*sqrt(13) + 3882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -357 and -5.\nAnswer: 1785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**3 + 6*k + 4*k**3 - k**3 + 8*k in the form w*k**3 + s*k + x + m*k**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 171, 176, 185, 198, 215?\n\"Answer: 2*b**2 - b + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, s: 2, f: 5, j: 11}. What is prob of sequence fsjs?\nAnswer: 11\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - z - 82, 4*i + 5*z - 150 = -0*z. Is 3\/(-12) - -2*23965\/i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -16*t - 18*t + 7 + 51*t - 18*t. Let l(v) = -1. Calculate 4*a(d) + 28*l(d).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 358 divide 7577404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59 - 15064\/(-315) - -16) + (-6)\/27?\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.83 - 0.54. What is t rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -6*f - 3. Calculate j(-5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/49*21*2\/4. Which is the fourth smallest value? (a) 24 (b) i (c) 1 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwq when three letters picked without replacement from wqwqwqwqww.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 1379*h**4\/4 - 12703*h**3\/6 + 496*h**2. Differentiate c(d) wrt d.\nAnswer: 8274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 2*c**2 + 4. Let f be t(-2). Let i = 5 + -8. What is the nearest to -1 in i, 3, f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 12 + 9. Let w be (-36)\/k - (-4)\/14. Sort -3, w, 5.\nAnswer: -3, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*o, -4*o + 77 = 2*s + 53. Solve 5*p = 3*q - 5, -24*q - s*p + 2 = -26*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*a = -59*a - 4*h + 23, 33 = 6*a + 3*h for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -525203 - -3?\nAnswer: -525200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -s**6\/120 + s**5\/12 - s**4\/4 + 5*s**3\/6 - 3*s**2. Suppose -2*l + 0*l = 10. Let z be 2\/2 - (l - -2). Give g(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 92244, 368983, 830214, 1475937, 2306152, 3320859, 4520058?\n\"Answer: 92246*s**2 + s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4*m. Suppose -4*w = -0*w + 4*c - 8, m = w - c - 8. Solve w*b - 3 = -23 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-75900)\/(-22))\/23*(-1)\/15*-6?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 4*j**2 + 5*j + 3. Let i be y(-5). Let w(b) = 1 + i*b**2 + b**2 - 2*b**2 - 2*b. Suppose 0 = 21*c - 203 + 161. Give w(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3 = -4*k - 21, -j = 4*k + 15. Let w = 9 + j. Calculate the greatest common divisor of 66 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 117 and 26793?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 465 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -115*s**2 + 2*s + 1. Let z be q(-1). Round z to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -h + 61100. Suppose -h - 6324 = -2*z. Let n = z + -185477\/20. What is the common denominator of n and 51\/22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 11*k. Suppose 2*a - 3*a + 18 = 4*o, -o + 2 = k. Solve 4*v + 3*w - 5*w = a, -w - 5 = 5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -3*y - 2\/231*y**7 + 1\/165*y**6 + 1\/110*y**5 + 0*y**3 + 0*y**4 + 0 + 0*y**2. Let q(p) = 0. What is p?\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22.8 + 24.8. What is the nearest to 1\/2 in k, 0, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + sqrt(1216))*-2 + 3)**2.\nAnswer: 288*sqrt(19) + 43785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 68, 94, 104, 92, 52?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3768 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j = -12*j + v - 1, 3*j + 1 = -v for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 22*i**2 - 23*i + 1. Let z(t) = -t**2 - 9*t + 24. Let u be z(-11). Suppose 38 + 8 = u*m. Let j be l(m). Let n(w) = 10*w**2 - 1. Determine n(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 4)*(-55*h + 8*h - 30*h + (3 + 0 - 1)*(1 - 1 + h)).\nAnswer: -375*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 195, 474, 753, 1032, 1311?\nAnswer: 1590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m - 4. Let d(g) = g**2. Let s be d(-2). Let h be x(s). Let v = -127\/154 + 9\/14. Sort -1, v, h in decreasing order.\nAnswer: h, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = -5*z + 65. Calculate the least common multiple of z and 18.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -327453 - -230168. Let y(g) = -357284*g**2 - 2*g + 1. Let j be y(1). Let f = j - x. What is f rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 205 + -192. Suppose -148881973 + 60351973 = -o*a. What is a rounded to the nearest 100000?\nAnswer: 6800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 f when four letters picked without replacement from nfffnfnffnnfuunfnu.\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 1:54 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372*y - 202 = -13*y - 1997 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 0 - 6 = 0. Let w be (-20 - (2 - -2))*s. Solve 8 + 15 = 3*c - 5*i, -4*c + 5*i = -w for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 4*j**2 - 2*j + 3. Let q be x(-3). Suppose 2*y - 7*y + 155 = 0. Is ((y - q) + -1)\/1 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -4. Let k be 15 - ((3 - 1) + (-6)\/2). Solve -k = l*d + d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5469 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -86.50353 to zero dps.\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h - 1. Let r(u) = -6*u - 29. Let s(a) = 5*m(a) - r(a). Let x be s(-7). Let b(n) = -n**2 + 19*n - 15. Is b(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 73086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffhhhh. What is prob of sequence fhf?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence er when two letters picked without replacement from prcecepcpgveep.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -123, -69, -2, 0 in increasing order.\nAnswer: -123, -69, -2, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -13\/31 (b) 0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1143552509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2 + 3*u + 1. Let l be s(-1). Suppose l = 4*v - 4*j - 4, -v + 2*j + 0*j = -2. Solve v = 3*b - 15 - 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261*g**3 + 258*g**3 - 461*g**2 + 461*g**2.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**5 + 0*y**3 + 0*y**3 - 4*y**5 + 5*y**5 + 11*y**5 + (8*y**2 + 3*y**2 - y**2)*(-6 - 4*y**3 + 6).\nAnswer: -27*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*a**2 - 32*a**2 + 61*a**2.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 143990 and 5390.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1.32+196820\nAnswer: 196821.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2341 - 0.1941. Put -2, c, -2.5 in ascending order.\nAnswer: -2.5, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0 + -2 + 2 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 15*r - 17*r - w, 3*r + w = -6*r + 5*r + 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 11*n = -2*w + 26, -3 = w + 2*n. Suppose w*j = 72 + 88. What is the greatest common divisor of 16 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 2, 34.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -9)*3\/(-4). Let y be (-5)\/(((-3)\/h)\/1). Let b = -4 + y. What is the highest common divisor of 3 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -0*v - 6. What are the prime factors of v + -2 + (5 - 3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 137924876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y**3 - 91213 + 91213 - 33*y**2.\nAnswer: 8*y**3 - 33*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*z + 3*g, -32*z - 30 = -37*z - 2*g for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 6*b. Let p(f) = -4*f. Suppose j - 3 = l + 1, 3*j - 4*l - 10 = 0. Let u(i) = j*p(i) - 4*c(i). Let m(x) = 4*x**2. Give u(m(k)).\nAnswer: 64*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 3) + 2 + 7 - 2 - (-25 + -15)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 45 = -2*u. Suppose 0*j = -j - 5*a + u, 5*a = -2*j + 25. What is the greatest common factor of 10 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1662 is divided by 607?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29208125?\nAnswer: 5, 17, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 7*o**2 + 3*o + 2. Suppose 2*b + 8 = 4*b. Let g(x) = 2*x + 4*x**2 - b + 2 + 2 + 1. Give -5*g(m) + 3*u(m).\nAnswer: m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -4*-4*(-4 + 3 + sqrt(891) - 6*(3 + sqrt(891))))*-2)**2.\nAnswer: 1768320*sqrt(11) + 23186596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2804, -6251, -12006, -20069?\n\"Answer: -1154*p**2 + 15*p - 1665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 400 and 1120.\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (6 + (-2 - 5) - 7)) + -25?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 589 + -582.37. Let i = 18.59 - n. Let x = i - 1.16. Round x to zero decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17\/2 of a century?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1151, 0.1, -2\/3 in increasing order.\nAnswer: -2\/3, 0.1, 1151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 27 - 13*n.\nAnswer: -13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-54)\/(-24))\/(-3))\/(2\/2672). Let q = 2176 + h. List the prime factors of q.\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (112 - 110) + -5 + -5 + -82 + 3 + -10?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(136)*2*6 + 2*1*sqrt(136)))\/(sqrt(16)\/(sqrt(16)\/sqrt(8)) + 3*(sqrt(8) + sqrt(56)\/sqrt(7) + sqrt(8))))**2.\nAnswer: 833\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccx when three letters picked without replacement from ccccxx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 148812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4095097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1005, -2027, -3075, -4161, -5297, -6495?\nAnswer: -7767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 8. What is the units digit of (-1)\/m + 1876\/20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -508258.5 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.6817 take away -367?\nAnswer: 347.3183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/4 - 33481*z\/4 + 2437885\/2.\nAnswer: -(z - 145)*(z + 33626)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55 + 60. Suppose a*d + 0 = -3*u + 4, 3*d - u = 8. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13221017 (base 8) in base 9?\nAnswer: -5507347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45141.76, 0.3, -0.1 in increasing order.\nAnswer: -45141.76, -0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -959\nAnswer: -5\/959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1294\/5 + 258. What is the closest to -0.1 in 2\/5, v, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*1)\/((-5)\/(5\/1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 9*n**2 + 152*n - 296. Let w(k) = -100*k**2 - 1675*k + 3255. Let g(h) = 45*p(h) + 4*w(h). Determine v so that g(v) = 0.\nAnswer: -30, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8146652 kilometers in centimeters?\nAnswer: 81466.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 + -3)*(12 - 12). Solve g - 4 - 1 = r for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5\/7 + 27*c**4\/7 + 195*c**3\/7 + 169*c**2\/7.\nAnswer: c**2*(c + 1)*(c + 13)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32.452 + 155.86. What is x rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 253029, 505838, 758647, 1011456?\n\"Answer: 252809*s + 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 2)*(-t + t - t**3 + (1 + 2 - 4)*(17*t**3 + 10*t**3 + t**3)).\nAnswer: 87*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47 + 54. Suppose -k*r - 16 = -58. Calculate the smallest common multiple of r and 17\/3 + 4\/(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3 = 0, 5*x - 5*c + 72 + 18 = 0. Suppose 2*y - 56 = 5*m - y, y = -4*m - 55. Let d = m - x. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2673*a**2 - 1795*a**2 - 1314*a**2 - 1865*a**2.\nAnswer: -7647*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rmm when three letters picked without replacement from rmmrr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -514 (base 9) in base 13?\nAnswer: -262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.26 - 0.36. Which is the third biggest value? (a) i (b) -1\/7 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -188*c**2 + 5*c - 8. Let k = -10 + 18. Let a be v(k). Round a to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 58505600 to the nearest 1000000.\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 305743 - 3?\nAnswer: 305740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2594 - 2594.5. Which is the third biggest value? (a) 0 (b) -1520 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34978.\nAnswer: 2, 17489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -93 + 142. What is the remainder when (-8)\/(56\/a) + 16 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9046155.9 - 9046055.8999638. Let l = 100 - q. Round l to six dps.\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1100) - sqrt(1100))**2 - (2 + sqrt(44)\/sqrt(4)).\nAnswer: -sqrt(11) + 17598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 477246687 to the nearest integer?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7785dc (base 16) in base 12?\nAnswer: 2759024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -5. Solve -l = j - 4 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*p + 4 + 0 = 0, 4*l = -2*p + 24. Find the second derivative of -4489*a**4 + 24 + 4504*a**l - a**3 - 2*a + a**3 - 2*a**5 wrt a.\nAnswer: -40*a**3 + 180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**3\/6 + 304229*p**2\/6 = 0?\nAnswer: 0, 304229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3771 + 26?\nAnswer: 26.3771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 7:16 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -3*u - 31. Let o = u - -17. Calculate the highest common divisor of o and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -10 + 23 + 0 + -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2131 + 10?\nAnswer: -2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/((-11)\/(1716\/(-91)))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1080560.9 to the nearest 10000.\nAnswer: 1080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) 0 (b) 1\/3 (c) -25\/3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 98*p - 40.\nAnswer: -98*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -365 from -14343.\nAnswer: -13978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 11, -7546 in decreasing order.\nAnswer: 11, 5, -1, -7546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 235 and 924490.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 96\/(-9) + (-1)\/3. Let i = l - -13. Suppose 6*w - 2*s = 3*w + 55, 55 = i*w - 5*s. Is 4 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-1 - 1\/(-3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -132310 and 0.3.\nAnswer: -39693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1\/2)*y)\/(((y**(-2\/31)*y)\/y)\/y))**(2\/23) assuming y is positive.\nAnswer: y**(159\/713)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -4009, -4, 1 in decreasing order.\nAnswer: 4, 1, -3, -4, -4009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1*(-1 + (sqrt(605) - (4 + (-3*sqrt(605) - sqrt(605))))*1) + 2)**2.\nAnswer: -330*sqrt(5) + 15139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(2\/3)*k)\/(k\/k**(-4\/23)) assuming k is positive.\nAnswer: k**(172\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 n when two letters picked without replacement from {r: 2, n: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -35, -1173, 1, -97 in increasing order.\nAnswer: -1173, -97, -35, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.07 - 9.07. Let q = z + 13. Let y = 0.2 + -1.2. Which is the closest to -0.1? (a) y (b) -5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 203.1 - 203. Which is the third biggest value? (a) f (b) -4 (c) -1\/62 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -4, 4 in decreasing order.\nAnswer: 4, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**3 - a**2 + a + 2. Let o(n) = -n**3 - 17*n**2 + 1. Let s be o(-17). Let t be 1\/s + 1\/(4\/(-12)). Give f(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3977000*j + 14180039 with respect to j.\nAnswer: 3977000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1161703469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -60 * 2.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32.45 + -2.75. Let i = r + -30. Which is the second smallest value? (a) 0.4 (b) 5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s**2 + 3*s**2 - 6*s**2 + 2*s**2.\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9733884577.\nAnswer: 9733884577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -10\/583, 2, -0.3.\nAnswer: -1, -0.3, -10\/583, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, -19\/69, -1 in descending order.\nAnswer: 1\/10, -19\/69, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1500 and 6?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = g + 194, -23*g + x = -21*g + 373. Let s = g + 306. What are the prime factors of s?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6290 divided by -3630?\nAnswer: 629\/363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-12)\/(-16)*4\/34.\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5*n**2 - 2*n - 2. Let u(c) = -26*c**2 - 11*c - 11. Let h(i) = 11*t(i) - 2*u(i). Let s(a) = -35*a + 35*a + 10*a**2 + 5*a**2. Determine s(h(r)).\nAnswer: 135*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 636 - 675 - (10 + 4)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-81*q + 81*q + 200*q**3)*(2*q + 20*q - 4*q).\nAnswer: 3600*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 115751982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5984 + 35535. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 e when three letters picked without replacement from oeroguoeoeobo?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i**2 + 11*i - 19. Let q be p(5). Suppose n - 4*y - 36 = 0, 5*y - 60 - 64 = -2*n. Let w = n + q. What is the remainder when 38 is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 2 + 6, -a = -2*z + 9. Let g(h) be the second derivative of -h**3\/6 + h**2\/2 + 2*h. Calculate g(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*a + 20*a = -a - 684 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9056172.1 and 0.49?\nAnswer: 9056171.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 2291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s - 44 = 1 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a**3 + 15*a**2 - 865*a + 4327. Let f be m(5). Determine d so that -4\/5 - 279\/5*d**4 - 81\/5*d**5 - 201\/5*d**f - 48\/5*d - 71*d**3 = 0.\nAnswer: -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -126, 2, 0.5, 68, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 - 5)*(-2 - 6 - 5)*(-32*q + 48*q - 23*q) - q + 3*q + 0*q.\nAnswer: -908*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -3\/7, 0.3, -1\/5, -1\/2, -1863?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -1) + -49 + 45.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/300)\/((2\/(-10))\/((-5)\/10)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**3\/3 + 338891*p**2\/3 - 677785*p\/3 + 338893\/3 = 0.\nAnswer: -338893, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7755 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 b when three letters picked without replacement from ppuupbzpzbujpjzzpa.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283*y - 11760 = 557*y for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 15 = -7*r. Suppose 3*y - 49 = -a, -87 = -2*y - 2*y + r*a. What is the remainder when 51 is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - u + 1. Suppose 3*w - 11 = -s + 5*s, -3*w + 2*s + 7 = 0. What is m(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 7*s**2 + 7*s - 6. Let z be b(-8). Put -2\/13, z, -46 in descending order.\nAnswer: z, -2\/13, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3416104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 2, 8, 16, 1, 0 in descending order.\nAnswer: 16, 8, 2, 1, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 40*i - 3. Let r be q(2). Let c(v) = -5*v + 146. Let u be c(27). Calculate the greatest common divisor of u and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 6*b + b + 18 = 0, -2*b = n - 6. Calculate the least common multiple of (-1)\/n - 24\/(-16) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1443482 = 192*h - 286246. What is the thousands digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 11. Sort s, 1, -1 in descending order.\nAnswer: 1, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2. Let z(b) = -39*b - 15. Let f(d) = 45*w(d) + 3*z(d). What is the first derivative of f(o) wrt o?\nAnswer: -117","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 2*m + 8. Let k be q(-6). What is the greatest common factor of 84 and k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 177882, 355775, 533668, 711561, 889454?\n\"Answer: 177893*m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -15065 divided by 3013\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5087.818 milligrams?\nAnswer: 5087818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/1294302 and -89\/5876.\nAnswer: 33651852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h - 4. Let i = 41 - 38. Suppose -i*z - 60 = -48. What is f(z)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312261978 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 15 = 3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-30)\/o*o)\/(o**(3\/7)\/o))\/(o*o*(o\/o**22)\/o*o*o\/o**8) assuming o is positive.\nAnswer: o**(-17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 12*v + 9. Let g(j) = 11*j + 8. Let t(d) = 6*g(d) - 5*s(d). Does 9 divide t(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -549*z = 14559 - 27735 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 2816 - 2825 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22866?\nAnswer: 2, 3, 37, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -298*t + 20 - 300*t + 602*t. Let w(p) = -p - 4. Let l(r) = -5*w(r) - y(r). Let j(i) = 0*i - i - 4*i. Calculate l(j(k)).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 129.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -14\/9, -1\/248, -0.05 in descending order.\nAnswer: 4, -1\/248, -0.05, -14\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0 - 46 = 3*k, 0 = -v + 4*k + 51. Let q = v - 27. Solve q = -w - 3*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 5*s - 3. Let q be n(-5). What is the closest to -1\/3 in q, 4, -1\/4, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (8 - 5) + -13.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 216 and 288.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4257 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: Let m = -210 - -218. Solve -p + 2*h + m = 0, 0*p + p + 2*h + 12 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10 + -278?\nAnswer: -268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3918*j**3 - 2*j**2 + 3920*j**3 + 25 + 9)*(-5 - 9 - 8)*(0 + 0 - 2).\nAnswer: 88*j**3 - 88*j**2 + 1496","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68 - 44. Let u be (-10 - -9) + (m - 1). Suppose 0 = -5*l + 73 + u. Which is smaller: 20 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbz when four letters picked without replacement from {p: 3, b: 10, z: 3, q: 2, y: 2}.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 13*i**2 + 38*i + 12. Give l(-15).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5937721.60000024 - 5937721. Let h = s + -0.6. Round h to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4\/3, -3\/4, 42, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*y + 2353 - 1635 + 4362 = -2993 for y.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 7:58 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5\/6 (b) -4 (c) -71 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 1:11 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9242*i*t**3 - 3*i*t**2 + 7*i*t + 4*i - 3*t**3 + 277*t + 1 wrt t.\nAnswer: 55452*i*t - 6*i - 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8.910308m?\nAnswer: 8910308000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 29740, 29742, 29744, 29746?\n\"Answer: 2*i + 29738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 291*j - 292*j - 5*i, -j = 2*i - 23. Solve 27*a + 60 = j*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -5661*a**2\/2 + 2206*a - 7501. Differentiate o(x) with respect to x.\nAnswer: -5661","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ghare. Give prob of picking 1 h, 1 g, and 1 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 35*t - 116 = 36*t, -806 = -20*z - t - 8*t + 30 for z.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 4*w - 669, d - 765 = -4*w - 86. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 2)*(-46)\/(89930\/85)\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.64 - -3.36. What is the closest to 0 in -2, b, -3, 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*n = 23, 24 = -0*q + q + n. Let o(d) = -d**3 + 20*d**2 - 14*d - 47. Let w be o(q). Is 46 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469407 a multiple of 368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -15*s**3 + s**2 + 3*s + 1. List the prime factors of j(-1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 895 - 953.1. Let o = q + 54. Let w = o + 4. Put 0.4, 0, w in decreasing order.\nAnswer: 0.4, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35998 and 902?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*y - 27*y - 5*g = 6*y - 56*y + 277, 466 = 5*y - 8*g for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3920)\/(-110) + -10 + -26?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.788746 litres in millilitres?\nAnswer: 6788.746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-174)\/378 + 12\/(-9).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -9*f**2\/2 - 79*f - 1425. Calculate c(-5).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 144248.\nAnswer: 7\/144248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-367)\/(-3670) + (-557771)\/10. Round t to the nearest one thousand.\nAnswer: -56000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5037578.9 + -19.7\nAnswer: 5037559.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v - 8. Let x be g(-6). Let p(w) = 2*w**3 - 4*w**2 + 10*w - 1. Let f be p(x). Suppose f - 367 = -4*a. Does 14 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -9*i - 238. Let g(q) = -55*q - 1420. Determine -4*g(x) + 25*r(x).\nAnswer: -5*x - 270","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/20)\/(((-182)\/14)\/195)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/4*-6*5\/(-9). Let r(d) = 63*d - 3. Does 13 divide r(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 7 = 5. Suppose -5 = 5*m + 5*o, 0 = -3*m - t*m + o + 19. Solve -3*c = 5*w + 2*c - 45, 2*w = c + m for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37 in 3, 111, 2, 32, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 394*f + 2026*f - 861*f + 2177*f - 299*f in the form b*f + n and give b.\nAnswer: 3437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -5. Suppose 3*b + b + 24 = 0. Let u be 2\/b + (-8)\/3. Sort 5, w, u.\nAnswer: w, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*p*y*z**3 - 2*p*y - 4*p*z**2 - 4*p + 41*y*z**2 - 2*y*z - 28*y + 2*z**2 wrt z.\nAnswer: -12*p*y*z - 8*p + 82*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 98851.638 to the nearest 1000.\nAnswer: 99000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129085, 516341, 1161767, 2065363?\nAnswer: 3227129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(1584) + 1 - (sqrt(1584) + 1*sqrt(1584))*-2) + 4*(4 + sqrt(1584)*-2) + 3)**2.\nAnswer: -1656*sqrt(11) + 14785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/36)\/((-44)\/((-5280)\/100)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 126*k**4*t + 250*k**2*t**3 + 5640*t**3 wrt k?\nAnswer: 504*k**3*t + 500*k*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 0.316?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 209, 145, 43, -97, -275, -491, -745?\n\"Answer: -19*g**2 - 7*g + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**3 - 26*c**2 + 5*c - 4. What is x(-9)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 412 or 302?\nAnswer: 302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 7 = -1. Let p = 29333\/10 + -2945. Calculate the common denominator of p and (-3)\/42*n*-3.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -61*c**3 + 72*c**3 + 2 - 4 wrt c.\nAnswer: 33*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-6))\/(((-544)\/(-24))\/(-17))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*b + 19*b = -20*b - 700 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2. Let o(g) = 3*g**2 + 3. Let a(s) be the second derivative of -s**4 - 11*s**2\/2 + 2*s. Let w(i) = -6*a(i) - 22*o(i). Give w(d(t)).\nAnswer: 24*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/16 - (-1183402)\/(-32680). Let f = w + 677\/19. Let n = f - 3\/43. What is the closest to n in -0.5, 2\/3, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by (-168)\/(-16) + (-2)\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**4\/6 + 519*o**3 + 2566189*o**2\/6 + 36833430*o + 2518370450\/3 = 0. Calculate o.\nAnswer: -1510, -47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -19*h + 41. Let s(n) = n + 2. Let k be s(-8). Is v(k) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5880 + -2860. What is the thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) -4421.94 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39174967 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 3*l - 2472 - 636, 0 = 5*k - 2*l - 5152. What is the greatest common divisor of 4 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5 + -4*(4 + sqrt(1053)*-2) + 3)**2.\nAnswer: -432*sqrt(13) + 67401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13769416 and 4152.\nAnswer: 1384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 4:26 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 6:23 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.165517405 rounded to three decimal places?\nAnswer: -1.166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 6 (b) -0.4 (c) 0.5 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/5 - 272528438*r\/5 + 18567937379679961\/5.\nAnswer: (r - 136264219)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a tonne in kilograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 21 = -g, -4*z + 10839 = 2*g + 21657 - 10848 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 8:37 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/55 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 3*r + 2. Let x be b(2). Suppose x = -2*y + 5*y. Put y, 2, -3 in decreasing order.\nAnswer: 2, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*(0 + 6\/10). Suppose -m = -j*y, -3*y - 64 = 5*m - 2*y. Let n be (m\/(-4) - 7) + 6. Solve -3*q + n - 5 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - -2 - -1*(0 - 3). What is the second biggest value in -3\/4, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(104) - -2*sqrt(104)))\/((-1*sqrt(32))\/sqrt(4)) - (sqrt(117) + (-1*sqrt(117)*1 - sqrt(117)) + sqrt(117))\/(sqrt(99)\/(sqrt(11) + sqrt(11)*1)))*5.\nAnswer: -90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 5:37 PM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 387340012018 - -0.622.\nAnswer: 387340012018.622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-40) - (-8)\/10.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1280, 1248, 1196, 1124, 1032, 920, 788?\n\"Answer: -10*m**2 - 2*m + 1292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by -14405574?\nAnswer: -5\/4801858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -131*l + 2*l**3 + 48*l + 39*l as r*l**2 + z*l**3 + g*l + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 21*g**2 - 20*g + 4. What is the least common multiple of 37 and i(-20)?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1278 + -669. Suppose -5*p = -336 - 2154. Suppose 6*f = f + 2*k + u, 2*k - p = -4*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 177 = -22. Calculate the remainder when 152 is divided by t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 9*j**2 - 33*j + 157. What is i(8)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.7359 + 14.7359. Let z be 4\/(-3)*(-1)\/4. What is the nearest to l in 3, z, 1\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k - 5*k + 70 = -2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -6, 5, 7 in increasing order.\nAnswer: -6, -5, 0, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**3 - h**2 + 3*h + 2. Let p be y(-2). Let q(n) = 3*n + 0*n + 8 + 1. What is the remainder when q(p) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(6)\/sqrt(3) + sqrt(2)))**2 + (-1 + sqrt(242))**2.\nAnswer: -22*sqrt(2) + 371","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*1\/(-2))\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*y**2 - 4*y + 12*y**2 + 4*y**5 + (-y + 3*y**5 + y)*(4 + 1 - 3).\nAnswer: 10*y**5 - 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1367\/(-2)*(2 + -4). Which is smaller: j or 1366?\nAnswer: 1366","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*u**3 + 430*u**2 + 108*u.\nAnswer: -2*u*(u - 54)*(4*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 1. Let l(x) be the second derivative of -x**4\/6 + x**2 - 27*x. Let c(h) = l(h) - 2*p(h). Let b(q) = 22*q**2. Calculate b(c(v)).\nAnswer: 88*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4\/9 (b) -4 (c) -0.5 (d) -0.06 (e) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4383 - 4377. Let o = 33 - 11. Solve -10 + o = -c*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2389.3 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 477*d**2*z - 2918*d**2 - d*z wrt z.\nAnswer: 477*d**2 - d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.81 - 98.19. Let i = -100 - p. What is the closest to -2\/11 in i, -5, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 39 - 2\/3*z**3 + 4*z**2 + 24*z. Factor s(t).\nAnswer: -2*(t - 6)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000507994 rounded to 7 dps?\nAnswer: 0.0000508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 2*a = -30 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2.7, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**4\/7 + 42*w**3 + 508*w**2 + 9648*w\/7 = 0 for w.\nAnswer: -134, -9, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.01 (b) -2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.038222456 to four decimal places.\nAnswer: 0.0382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -x**8\/112 + 3*x**6\/40 - 91*x**4\/2 - 3*x**2 + 45. What is the second derivative of i(m) wrt m?\nAnswer: -60*m**3 + 54*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/40862758 or -1?\nAnswer: -1\/40862758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (114\/(-285))\/(-42*(-1)\/(-5)).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/102)\/(2\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 143177127 to the nearest integer?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + 35 + (-2 - 0 - 7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284443 is divided by 135.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 58?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 28\/5 - ((-34)\/10 - -4). Suppose 4*m + t*r + 17 = 0, -18 = 2*m - m + 4*r. Let g be 84*(2 - 3\/m). What is the greatest common divisor of g and 168?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 14 = -d + 3*w, -4 = -4*d + 3*w. Let h(j) = j**3 - 5*j**2 + 5*j. What is the least common multiple of h(4) and (-1)\/(21\/(-9) - d)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*f = 224958 - 829731. List the prime factors of f.\nAnswer: 3, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 520 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 22169, 22165, 22163, 22163, 22165, 22169, 22175?\n\"Answer: n**2 - 7*n + 22175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 - -58. Calculate the remainder when x is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160494 and 6072?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33\/4 + -31\/4. Factor 1\/4*i**2 + 1\/4*i - q.\nAnswer: (i - 1)*(i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60aa3 (base 14) in base 12?\nAnswer: -b2733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)*-1 + -4 - sqrt(605))**2 + -3 + ((sqrt(960) - (2*sqrt(960) + sqrt(960)))\/(sqrt(48) - sqrt(12)))**2 + -4.\nAnswer: 176*sqrt(5) + 2749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sqkkqkqksskkqkkqsqk. What is prob of sequence sskq?\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**3 + 15*y**2 + 6*y + 16. Calculate s(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m**2 + 2*m - 1. Let q(h) = h**2. Let j(g) = n(g) - 3*q(g). Let y be j(1). Are y and 2 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-8)\/(-2))*(-94350)\/2775.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1883, 3799, 5715, 7631, 9547?\nAnswer: 11463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-175)\/(-1540)*-33)\/((9\/(-4))\/(6\/(-4)))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, v: 1, r: 6, i: 6, o: 3}. What is prob of sequence voio?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80 - (-94 - -166)) + (53 - 2 - 0) - 7.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 15 + 180*q**2 + 7 in the form f*q + x + c*q**2 and give c.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.784925 to 1 dp.\nAnswer: 12.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(45\/42)*(-405)\/(-18). Is 2 + (-55295)\/(-7) + 30\/c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-222))\/((-138)\/104 + 990\/12870)?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from nxrrx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1550557145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.27 and 0.01069960303.\nAnswer: 0.28069960303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**2\/8 - 31*n\/8 - 23 = 0.\nAnswer: -23, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.235533nm to meters.\nAnswer: 0.000000009235533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5176731059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 700627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25) - sqrt(2500)*1)\/((sqrt(180)\/sqrt(4))\/sqrt(9)).\nAnswer: -9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*b - 273*b + 4254 - 4254 + 201*b**2 + 140*b.\nAnswer: 201*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 18 - 57. Let h = 45 + d. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126397 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -84 - -107. Suppose -6*y - x - 55 = 0. Let g = 140 - y. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a\/(a*a**(-1\/10)))\/a))**(-6\/23)*((a\/a**(3\/5)*a)\/a)\/a**(-2\/7) assuming a is positive.\nAnswer: a**(153\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 14*m. Let g be (2 - (-205)\/5) + -1. Suppose 308 + 60 = 4*a. Let z(y) = g*y - a*y + 48*y. Determine f(z(d)).\nAnswer: -28*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/(-10) + 59469\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**3*w*((w**(-3\/5)*w)\/w)\/w*w)\/(w*w**0*w**4) assuming w is positive.\nAnswer: w**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -110*m + 225. Let f be p(2). Let g(x) = -3*x + 2. Let j(i) = -1. Calculate f*j(u) + g(u).\nAnswer: -3*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -2.5. Let d = -17 + 13. Let s = d - -9. Which is the closest to 0? (a) s (b) w (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -2 - (2 - (7 + -1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 8*m = -4, -r + m = -10098. Does 103 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25006 + 19209. Does 102 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 424893725?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of g**5\/30 + 17*g**4\/2 + 752*g**3\/3 + 1039*g**2 - 2*g - 2. Factor p(r).\nAnswer: 2*(r + 8)*(r + 94)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1159.7859 months to decades.\nAnswer: 9.6648825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1619 - 238. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/6*(-12 - -9). Let j = 14 + n. Suppose 0 = k + 4*c - j, 0*k - 2*c = 3*k - 11. Solve 0*w = -4*x + w + k, -3*w = -3*x - 9 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4 = -2*a, n - 6*a = -2*a - 8. Which is bigger: 2\/303 or n?\nAnswer: 2\/303","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02 - 1.03. Let c = k - -0.05. Sort c, 0.3, 2\/3.\nAnswer: c, 0.3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 775 and 519250.\nAnswer: 519250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t. Suppose -3*n + 6 = 0, 5*n = 5*u - 3*u - 18. Let o = -12 + u. Let g(j) = -j + j + 6*j**o + 0*j. What is f(g(i))?\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6425.382 minus 985708?\nAnswer: -979282.618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s - 2. Suppose 16 = -k + 1. Let r = k - -21. Let p(a) = -2*a - 4*a - 2 + 4*a. Give r*d(z) - 7*p(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r**2 + 10*r - 24. What is u(-7)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1289 rounded to 2 decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of 151*r**5\/30 + r**3\/6 - 165*r**2. Differentiate g(k) with respect to k.\nAnswer: 604*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - 5*w - 6 + 33, 130*f + 155 = 673*w - 668*w for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z**2. Let l(w) be the second derivative of -w**3\/6 - 4*w. Calculate l(u(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z + 5. Let g be b(29). Suppose 8*j = -g + 58. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -5. Suppose -5*v = -3*v - 8. Let d be v\/(-18) - (-40)\/18. Which is smaller: d or i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1721.11 + -1714. Let t = c - 2.11. What is the nearest to -2 in -3, t, 2\/15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r**2 - 3*r - 1. Let d(j) = -10*j**2 - 10*j - 3. Let k(t) = -2*d(t) + 7*o(t). Let s = -13 - -7. Let w(v) = 5*v**2 + 6*v + 6. Give s*k(x) - w(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-2))\/((-4)\/56). Suppose 2*i - n = 11. Suppose 3*b - i - 47 = 0. 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: Suppose -3*a + 25 = 2*v, v - 4*v = -15. Let t = 2 - a. Let p(y) = -y**3 - 5*y**2 - 4*y + 1. Let i be p(t). Do -4 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0*n = -26. Let g = -21 + n. List the prime factors of 6\/24 - 182\/g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -1\/3 (c) -2\/15 (d) 0.07 (e) 1.352\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 391165167?\nAnswer: 3, 1187, 109847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 615.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001432194915 to six decimal places.\nAnswer: -0.000143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/8 of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 4*d - 4, 3 = t + 3*t - 3*d. Is t less than 15\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -27 - ((-29 - -45) + 2 + -17).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -g - p, -4*p - p - 175 = -4*g. Suppose -26 = -3*m + m - 4*t, -4*m + g = 4*t. Let o = 919 + -842. Calculate the greatest common divisor of o and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3095268484?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -107*s**4\/6 + 2*s**3\/3 + 12*s**2 + 308*s. What is the second derivative of h(z) wrt z?\nAnswer: -428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -48 not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 6*(sqrt(133)\/sqrt(7) - sqrt(19)))*2 + -6*(sqrt(19) - sqrt(114)\/(sqrt(6) - sqrt(54))).\nAnswer: -7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1849138943 to the power of 1\/3, to the nearest integer?\nAnswer: 1227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**4 - 5*b**3 + 5*b**2 + 5*b - 6 = 0.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.007 and -36334?\nAnswer: 36331.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 0.05, 3, 0.4, -81?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 36\/15 - 2\/5. Suppose -v = -0*p - 2*p - 4, p = m*v - 2. Solve -g = 4*i - 21, v + 1 = g for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 242 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 + 121*p + 1216. Determine d(-10).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/((-2)\/(-6)*2). Suppose -3*s - 6 = -18. Let w(l) = l - 7. Let u be w(s). Sort r, -2, u in descending order.\nAnswer: r, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/13, 1\/2, 2, -15\/7, 0 in decreasing order.\nAnswer: 2, 1\/2, 0, -1\/13, -15\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 80008271 a multiple of 383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-6)*-3 + (2 - 1). Suppose 655 - 25 = 4*v + 3*t, -q*t - 799 = -5*v. List the prime factors of v.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pbp when three letters picked without replacement from bbpffbsfybbyysbbps?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 94, 93, 92, 91?\n\"Answer: -v + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 - 7 = -4*c. Let v = -3 + c. Calculate the least common multiple of 6 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5214 - 3504. What is the highest common divisor of 20 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -120, 76, 66 in descending order.\nAnswer: 76, 66, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -743 + 754. Solve 3*m - 4*q - o = -6*q, 3*m + 5*q - 23 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202 = q - w, -q - 5*w - 386 = -3*q. Calculate the remainder when 628 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-5))\/((-18)\/(-90)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 46004 to the power of 1\/2, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 36454 divided by -3\nAnswer: -36454\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -8 + (6 - 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3548.706 milligrams in kilograms?\nAnswer: 0.003548706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-1)*z)**(-28)*z**(-3\/5)\/z*z**(-3)\/z)**(-20) assuming z is positive.\nAnswer: z**672","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3.6, -4, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 3 (b) -2\/19 (c) -27\/2171\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - ((-9240)\/32)\/(-15) - -9?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and 24835.871?\nAnswer: 24835.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - d + 25, -3*v - 31 = -8*v - d. Let x = v + -4. Suppose 4*q - 150 = x*l, -45 = -q - 2*l + l. What is the highest common divisor of q and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (117 - 104) + -3 + -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 269 = n, -2*j - 200 - 77 = -n. Is n a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i - 8. Suppose 15 + 5 = -4*t. Let y be f(t). What is the greatest common divisor of y and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15762\/(-296) - -53)*56.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 4:29 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 172 - 173. Let d(l) = 33*l**2 - 2*l + 59*l**2 + 33*l**2. Is d(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4733 + 4850. Solve -115*w + g*w + 7 = 5*p, 0 = 4*p - 4*w - 8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/195 - (-1 + 2120\/1768).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/9 + 4\/18. Let n(c) = 4*c + 5. Let z(i) = -4*i - 6. Let w(g) = 4*n(g) + 3*z(g). Calculate w(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -75590000 to the nearest one million.\nAnswer: -76000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/53093 and 23\/5415?\nAnswer: 287498595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26280349?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -456 by 57.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 14 = -114. Let i = a + -18. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 13*p**3 - 17*p**2 + 8*p + 18. Let f(s) = -11*s**3 + 17*s**2 - 9*s - 18. Let v(q) = 6*f(q) + 5*y(q). Determine v(16).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 2*m - 80 = -78, 3*m - 11 = s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*u**2 + 3 + 12*u**2 + 11 + 3.\nAnswer: 3*u**2 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**3 + 3*z**3 + 0*z**3)*(4*z**2 + 3*z**2 - 6*z**2) - 40*z**5 - z**4 + 24*z**5 - 34*z**5.\nAnswer: -48*z**5 - z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 10*r**2 + 8*r + 44. Give m(-10).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbo when three letters picked without replacement from obbbbbbobbb.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 7*p**2 - p - 2. Determine c(-2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003269588 to 7 dps.\nAnswer: 0.0000327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 + 113 = -2*g. Let i = -72 - g. Is 2994*(-3)\/(-18)*6\/i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-26) - 1) + (-25605)\/(-4680) + -6.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*s = -7*s. Suppose -5*u - 15 = -s. What is the nearest to -0.2 in u, 2\/5, 2\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 515178.\nAnswer: 2, 3, 28621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25391177 and 1148.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 3:49 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -30. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 1919*m**2. Let l(s) = -2*s**2. What is x(l(r))?\nAnswer: 7676*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16\/(-6) + 4)\/(8\/6). Suppose -h = -6 + f. Solve 4*c + 3*x = 4, 4*c + h*x - x = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18987, -37985, -56997, -76029, -95087?\nAnswer: -114177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45853482?\nAnswer: 2, 3, 47, 162601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123868.\nAnswer: 2, 173, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*o - 46*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 8:00 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -h + 72, -2391*h = -2388*h + 3*c - 198. Solve 37*i = h*i - 184 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1279524442 to the power of 1\/3, to the nearest integer?\nAnswer: 1086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/6912 and -119\/108?\nAnswer: 6912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 + 3*b**2 + b**2)*(0 - 1 + 0)*(3 + 2 - 4).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -254 - 16.\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 12724?\nAnswer: 12723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten sevenths of a week?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v - 450 = -530 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367113 a multiple of 190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-14))**(2\/29)\/(g**(-18))**(-2\/23) assuming g is positive.\nAnswer: g**(-354\/667)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*f + 5, -z - 5*f + 5 = 3*z. What is the common denominator of 1\/(-12)*-50*(-28)\/z and -76\/27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 111423423 and 1479.\nAnswer: 1479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*q - 1 + 2*q + 0 + 0 + (1 + 2 - 5)*(0*q + 0*q - 2*q) + 22 - 22 + 7*q)*(-3 + 2 + 2).\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -8*q - 5*q**2 + 2*q**2 + 2*q + 1 - q**3 + 4*q. Suppose 2*w + 4*v = w - 18, -4*w - 28 = 5*v. Let c be (3 - (5 - 2)) + w. Give a(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 109231 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -19006 divided by 25?\nAnswer: -19006\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(7\/3)*s)\/s)**23 assuming s is positive.\nAnswer: s**(230\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4100783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99\/((131043\/114)\/209).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -196 + 914. Does 15 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1752 times -9?\nAnswer: 15768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -6*s + 12. Let g be l(-3). Let t be g\/10 - ((1 - 0) + -1353). Differentiate 7 + 11 + t*n - 1388*n with respect to n.\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -6*c**5\/7 - 73691*c**4\/7 + 454596*c**3\/7 - 737271*c**2\/7 + 110592*c\/7 = 0.\nAnswer: -12288, 0, 1\/6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 456 - 456. Suppose p = 232*u - 226*u - 30. Suppose a - 5*b = 4, 0 = -a - 5*b + 37 + 7. Put -2, u, a in decreasing order.\nAnswer: a, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/10 of a gram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 13*p**2 + 8*p - 6. What is the units digit of a(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8894127 at least as big as -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 equal to 218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 + 43650*m.\nAnswer: -3*m*(m - 14550)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of 0*l**4 + 0 + l**2 - 2*l - 1\/20*l**5 + 0*l**3. What is the derivative of x(b) wrt b?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5828*x**2 + 5812*x**2 - 2 + 0 + 2.\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*i + 489 = 0, 2*i = 3*s - i - 1392. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.64404 rounded to 1 dp?\nAnswer: 98.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001501792468 rounded to 6 decimal places?\nAnswer: -0.001502","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -898, 8, -0.5, -0.1, 1\/4 in descending order.\nAnswer: 8, 0.5, 1\/4, -0.1, -0.5, -898","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4973029*g**4*m**3 - 2*g*m**3 - 1588233*m**3 wrt g.\nAnswer: 59676348*g**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.04 (b) 2 (c) 31 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/8 + -1 - (-3770)\/(-1044) and 43\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 5) in base 6?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46*(-36)\/84*(-21)\/9 and 230?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*f + 89*f = -1100. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(18*i - 8*i + 31*i).\nAnswer: 82*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 20 = -s, -2*s - 2*n + 24 = -6*n. Sort 2, s, 0 in descending order.\nAnswer: s, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s**4\/5 + 108*s**3\/5 - 176*s**2\/5 + 12*s = 0 for s.\nAnswer: -15, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 3*n**2 - 5*n - 4. Let p be l(-4). Solve -2*o + 6*o - 12 = p for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 4 (c) 1.6 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 12*h + 16. What is the lowest common multiple of j(-12) and 36?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5*b - 17 = 0, 4*r = r - 3*b + 15. Let o(v) = -v**3 + 7*v**2 + 9*v - 3. Calculate o(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5576 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-5)\/a)**30)**41 assuming a is positive.\nAnswer: a**(-7380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2234.\nAnswer: 2, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 33\/29?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 9. Let d be (3*2\/6)\/q. Solve 1\/3*a + 0 + d*a**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b + 100*b**3 - 2*b + 8*b - 3*b - 1223*b**3 + 5*b.\nAnswer: -1123*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7722199 to the nearest integer?\nAnswer: 2779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1344, -2687, -4030, -5373, -6716, -8059?\nAnswer: -9402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3580 is divided by 50?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t**4 + 5*t**2 + 6. Let p(n) = -n**4 - n**2. Let y(d) = -a(d) - 5*p(d). What is the derivative of y(h) wrt h?\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1885867215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-96)\/240)\/(16\/115) and (-275)\/(-22)*(-10)\/66.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2100, -310 in decreasing order.\nAnswer: 2100, -1, -310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p - 16. Let o be d(-12). What is the fourth biggest value in -0.02, 2, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 9:15 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeel when four letters picked without replacement from eeelle?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**3 - 3*b**2 + 3*b. Let q(r) = r**3 - r**2 - 1. Let f be (-8 - 246\/(-30))*-5. Give f*a(v) + 3*q(v).\nAnswer: v**3 - 3*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3904 + -3902. Let j be (-1)\/4 + 3\/12. Solve 4*l + j*p = -3*p + 6, 3*p = -z*l + 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32511019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, -1, 0.0124, 28?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165639 is divided by 828.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 19077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4533*d + 2*x = -4534*d + 1, -3*d + 13 = x for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9 times -14\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 30 = -18. Suppose -i + b = 3*i. What is the units digit of 1\/i - (-133)\/28?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107620, 107619, 107618, 107617, 107616?\nAnswer: 107615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - y - 41879, 0*z + 16747 = 2*z - 5*y. Suppose 27*b - 3*b = z. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**4 + 28*w**3 + 2*w - 39. Let t(z) = -z**4 - 30*z**3 - 3*z + 39. Let r(q) = 2*m(q) + 3*t(q). Find the second derivative of r(y) wrt y.\nAnswer: -12*y**2 - 204*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 5*q, 5*q + 15 = 4*g - 3. Suppose -g*a = a. Which is greater: a or -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*j**2*s**3 + 7*j**2*s**2 - 2*j**2*s - 2*j**2 - 4276*j*s**3 + 2*j*s**2 + 62962*j + 313*s**3 - 1 wrt s?\nAnswer: 30*j**2 - 25656*j + 1878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2586 + 2662. Calculate the remainder when 223 is divided by w.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 - -115 - ((1 - 7) + (9 - 0 - 14)).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -1290*m**3 + 3*m**2 + 7*m + 4. Let g be t(-1). Is 1291 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4\/7 - 65*y**3\/7 - 66*y**2\/7.\nAnswer: y**2*(y - 66)*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 20656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tdd. What is prob of sequence td?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2990*a - 2990*a + 4*a**2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77591 = -168*v + 77305. What is the remainder when v is divided by 181?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 560164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13347 - 7613. Does 122 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -216*k - 2. Let h(i) = -2*i. What is o(h(f))?\nAnswer: 432*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*o - 2*g, -4*g = 4*o - 10 - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -127 - -100 - (156 - 89)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 18\/230779?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -17, 13, 1 in increasing order.\nAnswer: -17, -6, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**2 - 3120*p - 24704 = 0.\nAnswer: -772, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 + 61\/(-9) - (-102)\/27. Let x(k) = k**2 - 4*k - 3. Give x(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 171627 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7464 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.26 + 0.06. Let j = -97.1 + 97. Which is the nearest to j? (a) k (b) -3\/7 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h**2 + 6*h - 4. Let v(l) = 4*l**2 - 9*l + 6. Let a(r) = 3*k(r) + 2*v(r). Let w(j) = -319*j. Determine w(a(z)).\nAnswer: 319*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*s**3 - 4*s**2 - 3*s**5 + 5*s**2 - s**2 + 19*s**4 - 22*s**4 = 0. What is s?\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 12*z + 3. Let x be l(-12). Let a be -3*16\/12 + 8. Sort -1, -2, x, a in descending order.\nAnswer: a, x, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/9*15\/(-10). Let y = q - -8. Suppose -y*a + 9550 + 3040 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**3 + 12 - 8 - 23*y**3 - 4.\nAnswer: -18*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 26.46 and -0.02357.\nAnswer: -0.6236622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.804425kg to nanograms.\nAnswer: 6804425000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1626 + 2528. What is the highest common divisor of h and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 7:18 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7814756377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -12a4?\nAnswer: 12a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -9389636.1 rounded to the nearest ten thousand?\nAnswer: -9390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5658494 is divided by 330.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 26*a + 22. Let n be r(-9). Let f be 1\/(3 - n\/60). Is 29 a factor of f + -10 - (-1*336)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1395 and 124?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.20005 + -39631792.\nAnswer: -39631791.79995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 69539057579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 161661533 to the nearest integer?\nAnswer: 12715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1017*d**2 - 1030*d**2 + 807*d**4 - 3*d**3 + 2047*d**2 - 1 to the form b*d + t + z*d**3 + r*d**4 + w*d**2 and give r.\nAnswer: 807","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y + 6. Let f be h(7). Let l = -0.73 + 0.7. Let k = 0.47 - l. What is the closest to -1 in 2\/9, f, k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 3. Let v(p) = 3*p. Let f(q) be the second derivative of -2*q + 2\/3*q**3 + 1\/2*q**2 + 0. Give z*f(b) + 3*v(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -60 + 5. Let s = -53 - w. Solve l - s = 3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1799460755 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 150391243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**3*r*x - 2*f**2*r**3 + 15*f**2*r - f**2*x + 10*f*r**2*x + r**3*x + r**3 wrt f.\nAnswer: -6*f*r*x - 4*r**3 + 30*r - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 - 1 - 265*z - 13 - 2 as d*z + g and give d.\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4367851 is divided by 1091925?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -4. Let y = j + -6. Let w be y + -5 + 1 + -3. Let l(s) = s**3 + 9*s**2 + 9*s + 3. Give l(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.326*-251\nAnswer: -81.826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-6))\/(5\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 6*g - g - 14 = 0, 0 = 2*d + 2*g. List the prime factors of (-4 + 3)\/(d\/96).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6613 + -6610. What is the closest to 1 in -24, -3\/4, w?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-2))\/((-3)\/(-6)). Let y = 139 + -89. Let f = y + -201\/4. Do f and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1275*r + 1049*r + 178*r - 202662 for r.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/20, -4\/5, 202?\nAnswer: 202","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 9*q - 99 = 0. Suppose 5*a = c - 6*c + 80, 0 = -2*a + c + 29. Calculate the remainder when a is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 137 - 123. Let w = -0.3548 + 4.3548. What is the second smallest value in c, -13, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 0*l + 0*l - 8*l. Let q be z(-2). Suppose -22 = 3*t + 5*x, 0 = 4*t - 8*t - 4*x - q. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/4*(-5016)\/342. Sort -3, -2, 2, d in decreasing order.\nAnswer: 2, -2, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a decade in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -0*k - 78. Let s(c) = 19*c**3 + c. Let w be s(-1). Let o = k + w. Calculate the lowest common multiple of o and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f - 2. Let r be (-81)\/(-15) + 4\/(-10). Let j = r - -1. Is 5 a factor of l(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173 + 182 + 172 - 527 - 35*i**2 + 313*i**2.\nAnswer: 278*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -4*c - 19, 31 = -2*c + 21 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 720107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 9. Let p = -1.2 + 0.7. Which is the nearest to v? (a) -2\/7 (b) p (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4*h**2 - 112*h + 5. Let j(i) = i**2 + i - 3. Determine -j(p) - x(p).\nAnswer: 3*p**2 + 111*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 11112002?\nAnswer: -11112012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0, 1\/9, -433\/11, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = z + 79, -88 - 58 = -2*a - 4*z. Suppose f + 2 = -5*q - 0*q, -5*f + 4*q + a = 0. What are the prime factors of f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1\/2 (b) 0.2 (c) 4 (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1502 = 2*w - 4*g - 806, 4*w = 3*g + 4591. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 4*m**2 - 3*m + 2. Let j be o(3). Let z(a) = -4*a - a**2 + 0*a - 6 - 4*a - j*a. What is the least common multiple of z(-8) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 4*s + 92, 4*y + 49 = 5*y - s. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209144 is divided by 29865?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + -15 - 77 - -53.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t - 3. Let w be c(0). Let b be 10\/(-2) + (w - -3). Let l(r) = -3*r - 2 - r**3 + 2*r + 2*r**3 + 5*r**2. Give l(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from upgpnpgppgngp. Give prob of picking 2 g and 1 u.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/128478 and -67\/26220?\nAnswer: 1284780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {m: 2, t: 2, b: 1, k: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -132 from 4.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -91787733\/16 - -5739866. Let x = o - 3135. Calculate the common denominator of 30\/4 + 2\/(-5) and x.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2*r. Suppose r = -4*f + 4*z - 36, 4*f - z = -2*z - 16. What is the closest to 2 in -2\/9, -0.2, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-1)\/1 - 1. Let o = j - -4. Find the second derivative of 4*r - r - r + 2*r**o wrt r.\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dwdddaa. Give prob of sequence daw.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 2. Suppose -3*v - 4 = 2*k - 3, 4*k + 8 = -4*v. Let y be 2\/(-1)*1\/(-2). Put y, j, k in increasing order.\nAnswer: k, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2417*z**3 - 1553*z**3 + 3*z + 4737*z**3 + 3.\nAnswer: 5601*z**3 + 3*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, v: 11}. Give prob of picking 2 e.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**3 + 5*b - 1. What is k(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*r + 891, -2*z + 575 = 4*r - 613. Let i = -195 + r. Let w = i - 35. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + l - 4*l)*(-18 + 13 - 392).\nAnswer: 397*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -l**4 + 911946*l**2 - 38*l - 214208788 wrt l.\nAnswer: -4*l**3 + 1823892*l - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/13)\/(-3) + 399\/(-21)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**4\/3 - 820*q**3\/3 - 10886*q**2\/3 + 319096*q\/3 + 109720 = 0 for q.\nAnswer: -26, -1, 15, 422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -47, -20, 452, -4\/5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (22*w - 19*w + 10*w)*(0*w - w - w) + (-5*w**2 + 3*w**2 + 0*w**2)*(-5 - 1 + 2) + 3*w**2 - 3*w**2 - w**2 - 3 + 3 - 2*w**2 as s*w**2 + h + t*w and give s.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*v**(-1\/7)))\/v*v*v**(8\/3)*(v*v\/(v**(10\/3)*v*v))\/(v\/(v**6*v)*v))**(-3\/2))**(-1\/11) assuming v is positive.\nAnswer: v**(47\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 5796461020924?\nAnswer: -5796461020923.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/24 + 32\/(-57). Let y = -0.287 + -159.713. Let c = y + 163. What is the third biggest value in w, 5, c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -251. Let n = j + -3759\/16. Calculate the common denominator of n and -71\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1*sqrt(112)*4 + sqrt(112) + (sqrt(112) + -1 + -2 - sqrt(112) - sqrt(112)) + 1*((sqrt(112) - (3 + sqrt(112)))*5 - sqrt(112)))**2.\nAnswer: 760*sqrt(7) + 3161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -0.1, -29944 in decreasing order.\nAnswer: 3, -0.1, -4, -29944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -16159*-50542\nAnswer: 816708178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -144, 115, 856, 2331, 4792, 8491, 13680?\n\"Answer: 42*x**3 - 11*x**2 - 2*x - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zvd when three letters picked without replacement from {v: 5, d: 5, z: 4}?\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -f**5\/210 + 43*f**4\/42 - 8*f**3 + 500*f**2\/21 + 2*f + 2604. Factor h(z).\nAnswer: -2*(z - 125)*(z - 2)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7114 + 14229\/2. Let w(q) be the second derivative of 0 + 27*q + p*q**2 + 1\/6*q**3 + 1\/48*q**4. Let w(s) = 0. What is s?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 r, and 1 y when four letters picked without replacement from ywqmrmqqymg?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4442938.8 and 424.9.\nAnswer: -4442513.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 37801, 37961, 38113, 38257?\n\"Answer: -4*v**2 + 172*v + 37633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by -12694034?\nAnswer: 8\/6347017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4572657 to two decimal places.\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4*n + 2, 0 = 2*z + 3*n - 10. Suppose 4*t + 34 = z*a + t, 2*a + 4*t - 6 = 0. Solve 6*r = a*r - 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, -62, -337, -878, -1775, -3118, -4997?\nAnswer: -7502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of u - 3. Let w(c) = 5*c**2 + 1. Let s(a) = 5*h(a) - w(a). Find the first derivative of s(i) wrt i.\nAnswer: -10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -11. Let x be (1 - 7)*s\/21. What is the second biggest value in 0.1, x, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 21636340 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-24)*50\/4*(17 + 372\/(-24)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-0.9782.\nAnswer: 2.9346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*u**3 + 160*u**2 - 25*u**3 + 119*u**2 + 165*u**2 - 13*u**3 - 444*u**2.\nAnswer: -13*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/2 in -233, -0.03, -0.3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/538560 and 71\/98208.\nAnswer: 16695360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -122*j**2*m*z + j**2*m + 15*j**2 - 35*j*l*z + 82*j*l - m*z wrt z?\nAnswer: -122*j**2*m - 35*j*l - m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93610\/77 + (-4)\/(-14)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-60)\/8)\/(9\/18). Is ((-12526)\/(-4))\/(q\/(-30)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**3 + 9*i**3 - 8*i**3 + 0*i**3.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -16*j**3 - 6*j + 11. Let w(r) = r**3 + r - 2. Let t(d) = q(d) + 6*w(d). Determine t(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 309 = 4*j. Is 36 a factor of j - 1*(-8 + 6 + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 167 - 159 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**3\/3 - 92822*v**2\/3 - 185638*v\/3 - 92818\/3 = 0 for v.\nAnswer: -46409, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -93 + 50. Let o = -46 - q. Let d = -0.4 - -0.2. Which is the nearest to -1? (a) -0.1 (b) o (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6348)\/45333)\/(-23)*27\/(-6)\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (32 - (-13 + 28)) + -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + (sqrt(2695) - 3*sqrt(2695))\/sqrt(11).\nAnswer: -14*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, v: 3, w: 3, q: 2, t: 1, l: 2}. Give prob of sequence lfqv.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -3. List the prime factors of (r + -1)*(-1 + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 24*s + 338. Calculate d(-20).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and -50 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p + 168 = -74*p. Let n = -219 + 308. Put 0, n, p in ascending order.\nAnswer: p, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + -5. Let g = -3 + 9. What is the least common multiple of t and g?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(1 - (-2 - -4)). Suppose -2*l - 4*x + x - 6 = p, 0 = 5*l - 4*x - 31. Calculate the remainder when (-2)\/(-1) - (-3 + 1) is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.45726726 to 0 dps.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 8) to base 9\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of a**6\/120 - a**5\/30 - a**4\/8 + a**3\/2 - a**2. Let h be 30\/9 + (-4)\/(-6). Is z(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -74332, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(5*k**2 + 0*k**2 - 4*k**2) + 5*k**2 - 5*k**2 + k**2 + 3761*k - 3761*k + 65*k**2 + 3*k - 11*k**2 - 3*k + (5*k - k - 3*k)*(k - 5*k + 3*k).\nAnswer: 56*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (12*(-27)\/36*2\/3)\/5\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4821139811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of j**2 + 5*j - 1. Let d(t) = t**2 - 4. Let z be d(-3). Let y be s(z). What is the highest common divisor of y and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-3\/2))\/y*y**(5\/4)*(y\/y**6)\/((y*y*(y*y**(-2\/3))\/y)\/y) assuming y is positive.\nAnswer: y**(-31\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4512 and 1760808.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -5*s - 11. Let l be t(-7). Suppose l*z - 28*z = 0. Suppose -4*g = u - 51, 167 = 3*u + 5*g - z*g. Calculate the remainder when u is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -3. Let m = -64 + 50. What is the closest to m in 1\/5, 6\/7, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-10) - (8 + (-336)\/40). Suppose m*b**3 + 0 - 1\/2*b**2 - 1\/4*b + 1\/2*b**4 + 1\/4*b**5 = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-18))\/((36\/(-16))\/9).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 499094223?\nAnswer: 3, 19, 8756039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -2*m**2 - 24*m + 19. What is the smallest common multiple of k(-11) and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28255358281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 936 - 798. Suppose a = 2*y + 406. What is the lowest common multiple of 22 and y?\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (750\/(-65) - -12 - (-1 - -1)) + (-734)\/13\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 224 = -4*w + 145, -467 = -5*w + 2*i. Calculate the greatest common factor of w and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43806372 and 888?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (2 - -1 - (11 + -18 + 14))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 883 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 995530139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1927 divided by -3?\nAnswer: -1927\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*t + 3 = -112*t. Suppose 0*i + i = 0. Let j = 158 + -159. Put i, t, j, 4 in descending order.\nAnswer: 4, i, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 9*h**2 + 3. Let v(w) be the first derivative of 4\/3*w**3 + 0*w**2 + 4 + 2*w. Let a(r) = -2*b(r) + 5*v(r). What is the first derivative of a(y) wrt y?\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -104.3 - -103.883. Let m = r + 0.017. Which is the closest to -3\/5? (a) m (b) -4 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29804 + 29808. What is the second smallest value in v, 262, 3, 0.1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 728 divide 121304456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(77)*2)\/sqrt(11)*4)**2 + (sqrt(567)*2)**2*3 + 4)*6.\nAnswer: 43542","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*c**3*u + 60*c**3 + 13*u**3 - 8 wrt u?\nAnswer: 16*c**3 + 39*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, k: 5, e: 3}. What is prob of picking 1 a, 1 k, and 2 e?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 9:21 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -0.61, 5, 3.6 in decreasing order.\nAnswer: 5, 3.6, 2\/3, -0.61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 124 + -127 - ((-808)\/36)\/((-22)\/(-3))\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bk when two letters picked without replacement from {w: 1, i: 2, u: 2, q: 7, k: 1, b: 1}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2953210224 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 19*f**2. Let z(l) = -78*l**2. Calculate z(s(p)).\nAnswer: -28158*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 - n**2 - n + 1.\nAnswer: (n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16\/(-50))\/1)\/((-2)\/5).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = h - 5*d, 4*h - 31 = -0*d + 3*d. Suppose -3*f = -h*f + 4. Suppose 333 = -8*n + 389. Solve -f*z + 3 = -n*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.07, 43, 0.3?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 2. Let f = -13 - -13.1. What is the nearest to 1\/2 in 0.2, x, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -2*x - 18. Let t = x + -3. Suppose 0 = -3*g, g = 4*r + t - 63. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -p - p - k, -15 = 3*k. Suppose -3*n + p = -3. What is the remainder when 12 is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5373096, 5373098, 5373100, 5373102, 5373104?\nAnswer: 5373106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 32\/5 of a microgram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f. Let h be u(1). Let l(y) = 2*y + 3. Let o(c) = 2*c - 94 + 48 + 50. What is h*o(p) - 4*l(p)?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 1621e4?\nAnswer: 1621e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w + 24. Let z(i) = 5*i**2. Determine p(z(j)).\nAnswer: 15*j**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 9:59 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 5. Determine k(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 357257441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 19*r**4\/2 - 14*r**3 + r**2 + 603*r - 373. What is the second derivative of d(a) wrt a?\nAnswer: 228*a - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {j: 3, n: 1, s: 2, t: 4, d: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210 divided by 6.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express t**2 + 2*t**2 + 3*t**2 + 19 - 5*t**2 + 208 + 4*t as h + f*t**2 + z*t and give h.\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 743 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(1\/22)*c**27*c**(-5\/6)*c\/(c*c*c*c**12))**(-1\/34) assuming c is positive.\nAnswer: c**(-469\/1122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1450201*a**3 + a - 843087 wrt a?\nAnswer: 8701206*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 - 20238*o + 20235.\nAnswer: 3*(o - 6745)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-2)*(-236)\/(-1652).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 8*v + 14*v + 7 - 23*v. Let s be d(7). Suppose s*t - 20 = -5*t. Solve 19 = t*q - 1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 144 + -141. Solve 2*t - t = o*j + 11, j + 5*t = -9 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, b: 4, y: 1, d: 3}. Give prob of picking 3 b.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/20 and (-2668)\/(-1380) - 8\/6 - (-3946)\/(-8460)?\nAnswer: 8460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 - 22*w + 22*w - 4*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1803173*d**2 + 1803176*d**2 - 3606367*d**2.\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57*z**2 + 57*z**2 + 2*z**3)*(-263*z**2 + 10 + 7 + 4 - 21).\nAnswer: -526*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -5*k - 4. Let i be h(0). Which is smaller: i or -37\/8?\nAnswer: -37\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 26*y + 23*y + 2*y**2 - 2 - 13 - 47*y to the form s + c*y + o*y**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 12:59 PM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1910912 to the power of 1\/3, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -11123 + 11123 + 4355*n**2 + (-4*n + 2*n + n)*(2 - 2*n - 2) as s*n**2 + l + k*n and give s.\nAnswer: 4357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2 + 5*x + 4. Let c be k(3). Suppose -4*a = -5*h + 11 - c, -a - 2*h + 4 = 0. Put a, -14, -5 in increasing order.\nAnswer: -14, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4083, -4090, -4097, -4104, -4111, -4118?\n\"Answer: -7*j - 4076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 281, 562, 843, 1124, 1405?\n\"Answer: 281*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-7)\/(-21))\/((-14)\/(-42)). Sort i, -3, -4, -6, 3 in decreasing order.\nAnswer: 3, i, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 6, 4 in increasing order.\nAnswer: -12, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 3:25 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-4 + -14) - (353 - 355).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4 = 4*f. Let y = 1 - 1. Let g be (-3)\/((-15)\/(-6) + -4). Sort f, g, y in ascending order.\nAnswer: y, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((1*sqrt(104) + sqrt(104) - sqrt(104))*4 + sqrt(104) + -3*(sqrt(104) + sqrt(104) + -1*sqrt(104)))\/((sqrt(16)*-2*-2)\/sqrt(2)).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290 = -0*t + 5*t. Suppose -16*s - 708 = -4*s. Which is smaller: s or t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-239 + 95 + 1034)*(-c + 0*c - c).\nAnswer: -1780*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - 8 - (-31 - -26)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 191 + -188. Let r(j) be the first derivative of 4 - 3\/4*j**4 + 0*j + 0*j**y + 3*j**2. Find the second derivative of r(s) wrt s.\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = w. Let p = -22 - -37. Let k = p - 10. Solve -q + k*q = w for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -5746*k**3\/3 + 253*k**2 + 4727. What is the second derivative of u(f) wrt f?\nAnswer: -11492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44326 divided by 13970\nAnswer: 22163\/6985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1451 = -4*y - 5*t + 1282, t = y - 672. Suppose -5*d = -4*d - y. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7816635119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -417274.7 times -3\nAnswer: 1251824.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(60\/66)*(-5)\/(-55).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22666701?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-28)*(-59)\/149152*-256?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21\/5, -2\/9, -3, -275.\nAnswer: -275, -3, -2\/9, 21\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/645752 and -7\/212.\nAnswer: 645752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 7 + 4)\/(33\/(-11)). Let n(s) = 2*s**3 - 4*s**2 - 2*s + 2. Let k(a) = 2*a**3 - 3*a**2 - a + 2. Determine l*n(o) + 4*k(o).\nAnswer: 2*o**3 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**2\/9 - 92024*o\/3 - 276076\/9 = 0 for o.\nAnswer: -1, 69019","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*d = -2*r + 18, -5*r + 36 = -d. Let p = r + 10. Calculate the remainder when p is divided by (132\/(-121))\/((-2)\/11).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 40 = 2*z + 3*z, 5*k - 5*z = 70. Put 2, k, -1 in increasing order.\nAnswer: -1, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*4\/(-3))\/(95 + -104)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -1\/7*a**4 + 2\/7*a**3 - 11*a**2 - 1\/280*a**6 + 1\/28*a**5 + 0 + 0*a. Determine w so that s(w) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 4. Let y be x(0). Suppose 2*m - 3*g = -999994, -y*m + 0*g + 3*g - 1999994 = 0. What is m rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 852676, 852677, 852680, 852685, 852692, 852701, 852712?\nAnswer: 852725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -7.8 + 54\nAnswer: 46.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1198.55 to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 410.3907 decades?\nAnswer: 41.03907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37131 - -39827. Does 2 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 15 + 1. Suppose 0 = l*b - 28 + 4. Solve 5 = -w + b*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26993035 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -14*k**3 + 343\/15*k**5 + 6 + 8\/3*k + 245\/12*k**4 - 10\/3*k**2. Suppose a(r) = 0. Calculate r.\nAnswer: -1, -2\/7, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 126 = 2*x. Suppose 5*m - x = -z, -z + 3*z + 5*m - 36 = 0. Suppose -l - z = -21. Let g(o) = 2*o - 1. Calculate g(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 a, 1 j, and 1 k when four letters picked without replacement from kjjacacxzzaz?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -135 + 319. Suppose a = 3*i - 440. Let n = i - 143. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5 = 0, -4*n + 0 = -w - 11. Let d be n\/8 + (-7)\/(-2). Suppose d*u = 2*x + 468, -575 = -5*u + x + 4*x. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 389*d - 25615 = 342*d. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(-1 - 1 - 1)*(33*y - 16*y - 24*y).\nAnswer: -21*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-364)*(-208)\/(-48)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 3*l - 12, -674182*l - 4*d = -674212*l - 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) -4 (c) 5 (d) -1337\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 q when two letters picked without replacement from {c: 4, r: 1, u: 4, g: 1, q: 1}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j - 5 - j + 3*j + (0*j + 3*j - 4*j)*(1 - 1 + 1) + 0 - 2*j + 0 + j + 4 - 4 - 3 + j + 3.\nAnswer: -2*j - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 12078, 22934, 33790, 44646, 55502, 66358?\n\"Answer: 10856*m + 1222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k - 27. Let w(r) = -10*r**2. Determine w(x(p)).\nAnswer: -10*p**2 - 540*p - 7290","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3327 (base 11) in base 15?\nAnswer: 1475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.013 + 22.013. Let f = x - 17. Let n = 0 + f. What is the second biggest value in n, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433 is divided by 212.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 45064507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 22.54. Let k = h + -0.4. Let u = 648 - 647.8. What is the nearest to -0.2 in k, u, 2\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 7*u**2 + 7*u - 12. Determine d(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**2 + 3*y**2 + 2*y**2 + (15 + 1 + 27)*(-y**2 + y**2 - 2*y**2) + (-3 - 2 + 3)*(-y**2 - 2*y**2 + 2*y**2) to h + f*y**2 + o*y and give f.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 16 = 19*m - 4*i, -m + 919*i + 22 = 923*i for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 33\/(-5) + 1 - (-4)\/(-10). Let q(p) = p**2 + 6*p + 21. Let s be q(v). Calculate the highest common factor of s and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 474 + -105. What is the highest common factor of v and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(6\/5))**(-12)*(l\/((l**(-7)\/l)\/l))**18)**9 assuming l is positive.\nAnswer: l**(6912\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92 and 2664619?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 4:09 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/3 - 131*h**2\/3 - 3388*h\/3 + 29792\/3.\nAnswer: (h - 152)*(h - 7)*(h + 28)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 54*n - 55*n. Suppose -n*g - 11 = -119. Let t be 3\/(-3) - (5 - g - 3). Solve -2*v + 5*v + t = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3094 and -13.6.\nAnswer: -13.9094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**14*i**(4\/9))\/(i*i**(-2\/37)*i*(i*((i*i**(-11)*i)\/i*i)\/i)\/i) assuming i is positive.\nAnswer: i**(7492\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.2 - 0.2. Let h = -28 + 17. Let s = h + 10.5. Which is the third smallest value? (a) s (b) 2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 420 and 180?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -36, -47, -68, -105, -164, -251?\n\"Answer: -l**3 + l**2 - 7*l - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17036 * 0.1.\nAnswer: -1703.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 6*n**2 - 2*n - 1. Let u be m(3). Suppose -7*o - u - 1 = 0. Put o, 5, 1, -1 in descending order.\nAnswer: 5, 1, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u + 7. Let x be (-6)\/(-45) + 33*46\/90. Suppose -50 = -3*r + 5*p - 9, -3*r + x = p. What is b(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 6795.3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 41 - 16*y - 12*y + 25*y. Let k be w(9). Solve -2*l - 14 = 2*s - 6*l, -l = 3*s - k for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**2 + 12*a - 1360 = 0. What is a?\nAnswer: -20, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*s**4 - 439206*s**3 - 695123*s**2 - 2*s + 1?\nAnswer: 288*s - 2635236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (55\/5 - 8)*13\/3. Solve -r = -2*j - j - 2*v, v - 7 = -2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of d**5\/40 - 11*d**3\/3 - 26*d. Let l(u) be the second derivative of w(u). Let p(x) = -5*x**2. What is l(p(k))?\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 6940.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3554 - 1033416?\nAnswer: -1040303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oy when two letters picked without replacement from xryoqqgy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from otottottott. What is prob of sequence otot?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -132 + -3001?\nAnswer: -3133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6541, -13023, -19435, -25777, -32049?\n\"Answer: 35*q**2 - 6587*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -13. Suppose -5*a - 5*g + 7 = -13, 5*g - 15 = r. Solve 0 = -u - a + 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -125) + (-2327 - -2238).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 4*m + 29 = 0, -4*y + 2*m + 18 = -0*m for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*i = -82*i - 60*i + 2114. Suppose 0 = -4*r + 2*o + 116, -2*r + 38 = -r - 5*o. Solve -4*b = -i*b - 4*v + r, 24 = 3*b + 3*v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -89*s + 47*s + 44*s + 2*s**3 - 47*s**2 in the form r + o*s**3 + i*s**2 + y*s and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 28800000 = -0*d. Suppose 3*a - d = 2*a. Round a to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 7*k + 10. Let x be j(-5). Let s be ((-108)\/(-20))\/3*(-10)\/30. Which is the second smallest value? (a) 0.04 (b) x (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1033 - 1029. Solve 3*f = -k + 2*k + 13, 2*f - r*k = 22 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o**2*p**5 - 124*o**2 - o*p**2 + 13*p**5 wrt p.\nAnswer: -60*o**2*p**2 + 780*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -m + 3, -34 = -4*k + 5*m. Suppose -20 = 4*t, -4*q - k = -t - 40. Suppose 4*c - c = q. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, i: 2, s: 2, u: 2, d: 1}. Give prob of sequence qqus.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 631*c**2 - 8*c - 10. Let b be x(-1). What is the hundreds digit of 15474\/34 - 74\/b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22\/3 - 2\/6 and (-1 - 0) + (-3 - -13).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383 not equal to 391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1140\/(-76))\/(550\/(-396)*(6\/10)\/3).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3297\/17 + -13261\/68. Let h = z - 20\/17. Calculate the common denominator of ((-4)\/6)\/((-35)\/(-435)) and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g + 4*u + 103, -1930 + 2010 = -g - 3*u for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 3.614874191?\nAnswer: -4.014874191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 + 52. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.1, -42.9, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 18*p + 85. Let j be t(-5). Let q be (-95)\/(-38)*(-24)\/j. Solve -q*n = -13*n - 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13\/(-1) + (-13 - -3605).\nAnswer: 3, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((2*-1*sqrt(2))**2 + sqrt(14)\/(sqrt(35)\/sqrt(5)) - (sqrt(54)\/sqrt(3) - (sqrt(2) + 3*(sqrt(2) - sqrt(18)) + sqrt(2)))*6).\nAnswer: -41*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65604.06 milligrams to tonnes.\nAnswer: 0.00006560406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 275462295*d - 263419529 wrt d?\nAnswer: 275462295","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 66431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/4)\/(y*y**(-1\/6)))\/(y**(-2\/5))**(1\/10) assuming y is positive.\nAnswer: y**(-163\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2458*s + 16626 - 2112*s - 16626)*(0 + 0 + 4*s).\nAnswer: -18280*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-209)\/11*4284\/1596?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*(-1)\/8*(10 + -2). What is the third derivative of 2*b + 2*b**n + 143*b**5 - 65*b**5 - 134*b**2 - 2*b wrt b?\nAnswer: 4680*b**2 + 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*c + 32*c = -2086. Suppose -c = -o - b, -3*o + 7*o - 5*b - 1219 = 0. List the prime factors of o.\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36735 and 468875?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15073, 30126, 45179, 60232, 75285?\n\"Answer: 15053*j + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 70 = -5*a, 3*h + 12 = -h. Let q(j) = -j**2 + 14*j - 25. Let f be q(a). Solve d - 5 = -3*x - 1, f = 4*d + 4*x for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2309964 and 577491?\nAnswer: 2309964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 211.221339 to 1 dp.\nAnswer: 211.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*t + 200104 - 200104.\nAnswer: -47*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/33)\/(((i\/i**(2\/17))\/i*i)\/i))\/(i**(1\/19)\/i*(i\/(i*i**14))\/i) assuming i is positive.\nAnswer: i**(171883\/10659)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9974 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 20*r + 22. Let f be x(-21). List the prime factors of (805\/(-46))\/((-9)\/(-10) - f).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -17*c + 2. Let k(s) = -4*s. What is g(k(n))?\nAnswer: 68*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 383318 (base 9) to base 12.\nAnswer: b2382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 11 = 3*j. Suppose 4*z = 16*z - 60. Suppose 4*o = 8*o - x + 2, -z*o - 3*x - j = 0. Which is smaller: o or 13?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33186*t + 33144*t + 4116. Is t equal to 111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -29903444.\nAnswer: 1\/29903444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnlllnnlnlnnnljjn. What is prob of sequence ljl?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**3 + 3*m**2 + m - 1. Let k(l) = -l**3 + l - 1. Let h(v) = -g(v) - 4*k(v). Determine h(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 739991 + -9628910\/13. Let y = t + 694. What is the second biggest value in y, -0.3, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6414764.762 to the nearest 100.\nAnswer: 6414800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 11*v**2 + 12*v - 15. Let j be f(-12). What is the remainder when 41 is divided by 364\/35 - 9\/j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 395838 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 393.7 + -225. Let i = s + -167. What is i rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 10 + 3 + 419*r**2.\nAnswer: 419*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h**2 - 2. Let a(o) = o**3 - 19*o**2 - 11. What is -2*a(t) + 11*f(t)?\nAnswer: -2*t**3 - 6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 9*t**2 + 9*t - 6. Let w be n(8). Let l be 1*(w\/2 - -8). Let u = l - 4. Solve 0 = -4*r + 3*r - u for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28482153, -28482149, -28482145, -28482141?\nAnswer: -28482137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4118 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1971 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2\/15, 3, -41 in ascending order.\nAnswer: -41, -2, -2\/15, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w - 1. Let i(o) = -12*o - 5. Let a(x) = -i(x) + 5*y(x). Let j(r) = 6*r - 4*r + r. Determine j(a(g)).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -14*m - 112 - 10*m - 8*m - 19*m + 36*m. Let t be k(-8). Let h(g) = -4*g + 8. Let w(u) = 3*u - 5. Give t*w(j) + 5*h(j).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 2 - 8. Let i be l\/(-3)*(-10884)\/16. Let f = i + 486. What is the common denominator of f and -23\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102 and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6*s - 4*c - 148 = 0, 4*s = 3*c + 146. List the prime factors of s.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0377505 to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 1123283512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a - 2. Let r(j) = 6*j**3 + j**2 - j - 1. Let n be r(-1). What is the units digit of w(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*n**2 + 2 - 11*n**2 - 2.\nAnswer: -72*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71702131.\nAnswer: 1999, 35869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 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: Let l be 54\/(-24) + (-3)\/4. Let g(m) = -149*m - 2. Let b be g(l). Suppose 4*o - 5*a - 392 = -0*o, 5*o - b = -5*a. List the prime factors of o.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -4.6, 807, 3?\nAnswer: 807","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -6*u + 6. Let t be b(-2). Suppose 8*h - 11*h + t = 0. What is the smallest common multiple of ((-7)\/(-5) + -1)*10 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + 108. Is (-14)\/21 + a\/6 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -190 - -192. Sort a, 70, -2, 3 in decreasing order.\nAnswer: 70, 3, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109435362?\nAnswer: 2, 3, 18239227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 2a04b?\nAnswer: 2a051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 1\/5, 2\/19 in descending order.\nAnswer: 1\/5, 2\/19, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 93*k**2 - 1494*k - 382. Give j(107).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 2*m. Suppose -3*p + 138 = 2*p - 2*v, m = 4*p + 4*v - 88. Suppose -r - r = -p. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 0.97?\nAnswer: -0.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 + 6352*g - 2521744.\nAnswer: -4*(g - 794)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - c = 6. Suppose 2*u + c*u = 5*k - 252, -u + 210 = 4*k. List the prime factors of k + -1 + -2 + 6.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -661 + 660. Sort z, 1, 4, 0.4 in increasing order.\nAnswer: z, 0.4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/3, -5, 3, -1127465?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6327 is divided by 288.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 55 = 6*m. Suppose -8 = 51*w - m*w. What is the units digit of 7\/28*8\/(1*w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxdd when four letters picked without replacement from iddiudxiidwhixiui.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 329 (b) 2 (c) -2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k - 8576 + 17507 = 0. List the prime factors of k.\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 92426.58 years?\nAnswer: 9242.658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 7*o - 3. Suppose 0 = -2*w + 4*w + 12. Let l(i) = -20*i + 8. Let r(h) = w*l(h) - 17*q(h). What is r(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 57*i. Let z(b) = -9*b. Let r(m) = -c(m) - 6*z(m). Let t(j) = 2*j - 678. Give r(t(f)).\nAnswer: -6*f + 2034","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 1, 1.16, -0.4, -6, 196?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*q, 127*w - 5*q = 122*w - 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 1430*s**4 - 12*s**3 - 6*s**2 + 24*s - 1555. Let w(f) = -2*f**3 - f**2 + 4*f + 1. Let k(t) = d(t) - 6*w(t). Find the first derivative of k(q) wrt q.\nAnswer: 5720*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppmm. What is prob of sequence mpm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-12) - (30\/(-8) + 1). Factor -8\/9*v**2 + 0 - 2\/9*v**u - 8\/9*v.\nAnswer: -2*v*(v + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(76)*2*1)\/(-2*(sqrt(484) - (sqrt(484) - (sqrt(484)*2 - sqrt(484))))).\nAnswer: -2*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*g - 4. Suppose -3 = 3*o - v, -2*v + 0 = 3*o - 6. Suppose -4*f + 14*f - 110 = o. What is the lowest common multiple of f and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37768.2008 rounded to the nearest 10?\nAnswer: 37770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3274046722 a multiple of 2121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -0.1483?\nAnswer: -2.8517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5046377 + -321?\nAnswer: 5046056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5916 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -437\nAnswer: 1\/437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d + 1 - 11 + 13 + 17. Let b = -1 + 8. Calculate the remainder when b is divided by a(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*z = -131*z - v - 3, 0 = -z - 3*v + 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 0 + 0*a**3 - 1\/45*a**5 + 0*a**4 - 5*a**2 + 1\/20*a**6 + 0*a - 1\/45*a**7. Suppose r(s) = 0. Calculate s.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -60, -98, -8873, -2 in increasing order.\nAnswer: -8873, -98, -60, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 6*t**2 - 97*t - 6*t**2 + 73*t + 3*t**3 + 81*t to o*t**2 + y + h*t + f*t**3 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 55, -3, 0, 25, 9, -8, -1 in descending order.\nAnswer: 55, 25, 9, 0, -1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 459 = 455 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**2. Let k(j) = 8*j**2 + 6*j + 6. Let h(n) = -24*n**2 - 17*n - 17. Let a(i) = 6*h(i) + 17*k(i). Calculate f(a(g)).\nAnswer: -192*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1390724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**7\/1260 - b**6\/240 - b**5\/360 + b**4\/48 + b**3\/18 + 24*b**2. Let u(r) = 0. What is r?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 688*p**2 + 3412*p + 2039. What is c(683)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3689085?\nAnswer: 3, 5, 17, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 678 = -g - 693, -g - q = -3*g + 2*g for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-42) + (-90)\/21. Let c be 9\/(-18)*(n + -74). What is the highest common divisor of c and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3984*w = -4247*w - 2893 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1351660?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 643975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28381, -28263, -28145, -28027, -27909?\nAnswer: -27791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u + 22*u + 1800 = 33*u. Suppose m - 5*m = -240. What is the greatest common factor of u and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5\/6 (b) 5 (c) 117 (d) 3 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -10*c**2 - 79*c - 64. Determine b(-8).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/88 and -65\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**2\/6 - 380*r\/3 + 72200\/3 = 0. What is r?\nAnswer: 380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003543991 to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2+5029.64402112\nAnswer: 5027.64402112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3568 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1068 and 13795.\nAnswer: 165540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-9) - 561\/(-27). Is w bigger than 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 + 541\/20. Let c = -11997\/20 - -600. Let i = c + j. Which is bigger: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.65757 to 3 decimal places.\nAnswer: -0.658","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -109.785 - 0.215. Let s = q - -117. Which is the second biggest value? (a) s (b) 1\/8 (c) 0.4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 5 + 5)*(-2*v + 7*v + 3*v).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + d**3 + 6*d**2 - 6*d + 0*d**3. Let g be y(-7). Let k(c) = -c**2 + 18. What is the units digit of k(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*c - 813 - 3399. Let l = c + -199. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 103*o - 108*o + m - 1, -4*o - 3 = -3*m for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/18*(-1 + -8). Let j(c) = l*c - 9*c + 11*c. Let q(d) = 17*d**2. Calculate j(q(u)).\nAnswer: 204*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 435 = -897. What is l rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**3 - 14 - 15 - 13 - 15*d + 2*d**2 + 43 + 3*d**4 - d**4 to s + i*d**3 + p*d**4 + r*d + g*d**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -448*q + 2242. Let o be b(5). Let k(x) = -6*x**2 - 2*x - 1. Suppose -3*c = 2*c + 5. Let h be k(c). Sort o, h, 5.\nAnswer: h, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-7)*(-6)\/4. Which is the fourth biggest value? (a) 5 (b) 1\/6 (c) s (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-6*(4*1*sqrt(11) + sqrt(44)\/(sqrt(4)*5))*-2*6)**2.\nAnswer: 905313024\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 0*a + a - 123 = 0, u + a - 30 = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 366, 748, 1130, 1512?\n\"Answer: 382*j - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, b: 2, s: 8}. Give prob of sequence sab.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.49316 to the nearest integer.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 10*l**2 + 5. Let p be j(-10). Suppose 2*w - 2*o - 501 - 431 = 0, -4*w + 1865 = -p*o. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*f + 7*f + 71*f.\nAnswer: 67*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*j - 3*w, 31*j + w = 26*j + 2. Suppose j = 5*s - 2*s - 3*l, 2*s = -l. Solve s = -5*o - 36 + 11 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 1.56977?\nAnswer: -4.56977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (25336\/27 + 1)\/((-13)\/(-39)). Let o = -2810 + k. What is the common denominator of -55\/24 and o?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5187353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xoxxxxxx. Give prob of picking 2 x and 1 o.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 95785\/22 + -4351. Calculate the common denominator of 54\/99*(-2)\/8 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/605376 and 53\/10066?\nAnswer: 3046857408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(4\/9))\/(d**1\/d))\/(d**(5\/7)*d*(d**(-6\/11)*d)\/d) assuming d is positive.\nAnswer: d**(191\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 624669?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7363333mg to grams.\nAnswer: 0.0007363333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**3 - d**2 + d + 5. Let a be n(-2). Suppose -3*w + a = 0, -3 - 6 = -2*m - w. Find the third derivative of -3376 - 14*c**m + 3376 - 24*c**5 wrt c.\nAnswer: -1440*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2823626108 to the power of 1\/5, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 219 + -218. Solve -f - 4 = p + p, -5*f + x = 3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(65)\/sqrt(5) - sqrt(13)) - (sqrt(13) - (sqrt(65)\/sqrt(5) + 1))) + sqrt(91)\/((sqrt(1008)*-3 - sqrt(1008) - sqrt(1008)) + sqrt(7)))**2.\nAnswer: -10*sqrt(13)\/59 + 87038\/3481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2409 and 219.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 19 + 101 = 0. What is a rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -17 (b) 4 (c) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(1\/5)\/o)\/(o*o**(3\/2))*o\/((o**5\/o)\/o)*o*(o\/(o**(-3\/2)*o))\/o*o*o**(-5)*o**(-5\/2)*(o*o\/o**6*o)\/(o*o*o*o**(2\/3)) assuming o is positive.\nAnswer: o**(-479\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 83394 and 246.\nAnswer: 83394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y + 13. Let x be i(-7). Suppose -32 - x = a. Let m = a + 102. Is m a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52608 and 102912.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12934.066 + 12855. Let f = -0.0826 + 79.0826. Let h = f + b. Round h to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5916)\/6 - (-6)\/3. Let v = a + 21635\/22. What is the common denominator of 75\/22 and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 10 + 5. Find the second derivative of -3*q**3 + q**3 + 0*q + 2*q + j*q**3 wrt q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventeen quarters of a micrometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 4. Let z be y(5). Let r be (-2)\/(-4) + (-9)\/(-2). Suppose -r*i + 5 - 12 = -3*m, 2*m - z = -i. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*g - 15. Suppose 12*d - g*d + 105 = 0. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 986453, 986466, 986501, 986564, 986661, 986798, 986981?\n\"Answer: r**3 + 5*r**2 - 9*r + 986456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 406d (base 15) to base 16\nAnswer: 3523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 109 - 29. Suppose -8*k - z = -10*k. What is the highest common divisor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11 and 0.36241.\nAnswer: -10.63759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2080.1 decades?\nAnswer: 20801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 + -6.4. Let q = -3727 + 3721.0088. Let i = q - y. What is i rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*u - 69 - 2*u**2 + 17 + 44*u - 5 + 54*u.\nAnswer: -2*u**2 - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and -7920033.\nAnswer: -7920033.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 817 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 18630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5904920629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3238*x + 821 + 830 - 1649 to j*x + d and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - (3\/(-3) - -1). Suppose k + 3*r = -4, 5*k = 2*k - 4*r + d. Suppose 3*w = -k*z + 14, 3*z - w = -0*w. Which is smaller: z or -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*w**3 + 380*w**3 + 2*w - 2*w - 193*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j. Let u be q(10). Suppose u = 5*p - 60. What is the least common multiple of p and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4395 and 146793?\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**5 + 0*l**5 - 4*l**5 + (-l**4 + 0*l**4 + 3*l**4)*(0*l + 3*l - l) + l**5 - 3*l**5 + l**5 + 3*l**5 - 2*l**5 + l**5 - 154*l**4 + 77*l**5 + 154*l**4.\nAnswer: 80*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1457086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71.3 + -0.8094044657.\nAnswer: -72.1094044657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k - 40. Let p(j) = 3*j + 3. What is m(p(n))?\nAnswer: -3*n - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 36*p + 8. Calculate the lowest common multiple of 50 and j(36).\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -24.886. Let u = w - 2.886. Which is the closest to -0.4? (a) -0.4 (b) 2\/11 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-8)*(-3)\/(-6). Let m = 0.414 + -0.014. Let q = 8 - 7.9. What is the biggest value in q, s, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 41 (b) 1 (c) -9\/5 (d) 27 (e) 5 (f) 7 (g) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 231 and 3157.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 24746.8 times 0.057\nAnswer: 1410.5676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -790, -789, -766, -715, -630, -505, -334, -111?\n\"Answer: z**3 + 5*z**2 - 21*z - 775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 114*o - 23. Let u be ((-8)\/10)\/((-6)\/15). Suppose -4*x + 28 = -4*b, 4*x - u*x + 2*b = 18. Is h(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -34*t**3 + 30*t**2 + 8*t - 2. Let s(l) = -l**3 - l**2 + 1. Let g(w) = -h(w) - 2*s(w). Factor g(f).\nAnswer: 4*f*(f - 1)*(9*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -6. Let y = 1.5 + n. Which is the third smallest value? (a) y (b) -4 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - -4 - ((6 - (-8 - -14)) + 3).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62 - -52. Let o be h\/3 - 4\/(-3). Let r(x) = -6*x - 255. Let z be r(-37). Sort z, o, 1 in ascending order.\nAnswer: z, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -52, -369, -1168, -2689, -5172, -8857, -13984, -20793?\n\"Answer: -40*n**3 - n**2 - 34*n + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 0*y + 153\/2*y**2 - 1\/3*y**3 + 5 - 1\/2*y**4. What is the second derivative of k(q) wrt q?\nAnswer: -12*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 1 + 1)*(4 + 0 - 1)*(1 - 7 + 3)*(-272*s**2 + 0*s + 128*s**2 - 3*s).\nAnswer: -1296*s**3 - 27*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2391*m - 5445*m + 2282*m + 64848 for m.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1628 and 1184.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47043 - 6*w**2 - 47043.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*k = 9, -3*s + 4*k = -5*s + 16. Suppose -5*u + 19 = -1. Let m = u - s. Solve -m*i = -4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 497 and 1389647?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 417 by 139.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f + 20*f = 42. What is the highest common factor of 28 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -40, -17, -42, -139, -332, -645, -1102?\n\"Answer: -4*w**3 + 51*w - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*191\/(-9) - 50\/75. What is the greatest common divisor of 105 and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 6*d**3 + 4*d**2 + 21*d + 86. Let v(r) = 7*r**3 + 5*r**2 + 26*r + 87. What is -6*u(q) + 5*v(q)?\nAnswer: -q**3 + q**2 + 4*q - 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 695 and 66190?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - o - 214 = -5*a, 5*a - 226 = -4*o. What is the second derivative of 1599*m + 233*m**3 - 1597*m - a + 27*m**3 wrt m?\nAnswer: 1560*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*h - 194 + 194 - 25*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -0.15 (c) 0 (d) 1038\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.03 + -5.63. Which is the fourth smallest value? (a) -3 (b) 1 (c) j (d) 19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 8108*p + 242399. Calculate b(-30).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z - 9*z + 13*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -113 - -122. Solve d*h = 10*h - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nccnxxxfyfxyndn. What is prob of sequence yxc?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1255624 and 455731.\nAnswer: 1891","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13536 by -288.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i*i*i**0\/i*i)\/i))**(1\/19)*i*i*((i\/(((i*i*i**2\/i)\/i)\/i)*i)\/i*i*i)\/i*i*i\/(i\/(i\/i**1*i*i))*i assuming i is positive.\nAnswer: i**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 8:16 PM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -458*w + 592 - 2164 = 30946 for w.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 42325182 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + b68?\nAnswer: b64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 3*v - 7. Let m be w(5). Suppose 5*h + 31 = 6. Let j(i) = 2*i + 1. Let b(x) = 3*x + 2. Calculate h*j(r) + m*b(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -5*l**3 + 2*l**2 - 1. Let v be w(-1). Let h be -2*(184\/4 - -2). Let s = 96 + h. Solve -a + v*a + 25 = s for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjjsdapp. Give prob of picking 1 p and 1 a.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 1:44 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24063127 (base 8) to base 5.\nAnswer: -2322102304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(2\/3)*q)\/q)**0*q*q*q**5*(q*q**(2\/7))\/q)\/(q\/(q\/(q**(-1\/6)\/q))*(q\/q**(-4))\/q*(q**0)**(-1\/38)) assuming q is positive.\nAnswer: q**(187\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 41 = 41 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrccrrrrrcrrrrrr. Give prob of picking 1 c and 1 r.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -94.2 + 102.18. Let y = d - 8. What is the second biggest value in y, 1\/6, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -267 + 276. Suppose 0 = c - 16 + w. What is the least common multiple of 136 and c?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1780297211?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-4 - (-9 - -13)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**4 + 2*w - 2*w + (w**4 - 3 + 3)*(3 - 2 + 0) - w**2 + w**2 + w**4 - 15*w**3 + 58*w**3 - 20*w**3 + 2*w**4.\nAnswer: 6*w**4 + 23*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 9595, 829 in ascending order.\nAnswer: -4, 829, 9595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*f + 12 - 12)*(f - f - 2*f)*(-4*f + f + f) + 0*f**3 - f**3 - f**3 to z + i*f + g*f**2 + n*f**3 and give n.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7896740114 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 21 (c) 0.3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -231*h**4 + 26*h**5 + 37*h**2 + 231*h**4 wrt h.\nAnswer: 1560*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 times 2252074\nAnswer: -2477281.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2358 - -1562. Let d = a - -795.989992. Let o = -0.01 - d. What is o rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140262 is divided by 130?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 10 = 81*c - 78*c, 8 = 4*j + c + 5 - 15 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(204) - -2*sqrt(204))\/sqrt(12)*-6*-4)**2 + -5*((sqrt(102)*-1 + sqrt(102))*1)\/sqrt(6))*4.\nAnswer: 352512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/5 - 3*z + 30.\nAnswer: -3*(z - 5)*(z + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by 3\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 - -55. Let t = 5 - x. Which is smaller: -6 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -87 + 17. Let n be ((-3370)\/32)\/((-2)\/a). Let z = -3688 - n. What is the common denominator of z and -41\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*g + 5*h + 2, 0 = 3*h + 6. Let u be (-20)\/6*(8\/(-10) + 2). Put -1, u, g in increasing order.\nAnswer: u, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of 3003*q**5\/20 + 2527*q**2\/2 + 91*q + 8. Differentiate t(l) wrt l.\nAnswer: 9009*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2654148 + -17783280. Let x = n + 32129132. What is x rounded to the nearest one million?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 17 = 3*u, u - 4*b + b - 24 = 0. Suppose -u*c + 725 = -4*c. List the prime factors of c.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4069*h**3 + 4798*h**3 - 6053*h**3.\nAnswer: 2814*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*x - 4*k + 126, 3*x + 3*k + 18644 - 18641 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/4*-4)\/(8\/2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 11*n**5\/30 - n**4\/8 - 19*n**2 + 19. Let q(k) be the second derivative of f(k). Let r(c) = -2*c**2. What is r(q(d))?\nAnswer: -968*d**4 + 264*d**3 - 18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -512?\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.16 + -0.26. Is b greater than -2\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5*m - 135. Let o be -1 + 1 + m + -4. Find the common denominator of 25 and (-4)\/2 - o\/(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2334)\/(-54) - (-4)\/(-18). Suppose 2*y - 5*u = -2*y + i, y = 5*u + 7. Suppose 0*f - y = -2*f. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-10)*(-5)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 5*x + 6. Let v be y(6). Let t(d) = d**2 + 3*d + 3. Let j be t(v). Solve 0*m = m - j for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115831, -231710, -347597, -463498, -579419?\nAnswer: -695366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21011.\nAnswer: 21011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -107*n + 107*n + 105*n**2 - 2*n**2 + n**2 + 3*n**2 + 3 - n**2 - 3 + (0*n + 3*n - n)*(3*n - 4*n + 0*n) - 3*n**2 + n**2 + n**2.\nAnswer: 103*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 24 = -3*d, 2*h - 3*h - 3*d = 3. Let u be (-7 + h)*2\/(-10). Let q = -143 + 148. Which is the nearest to u? (a) q (b) -1.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -25085, -50236, -75377, -100502, -125605, -150680, -175721, -200722?\n\"Answer: m**3 - m**2 - 25155*m + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o**2 + 6*o**2 + 23*o + o**2 to p + t*o**2 + n*o and give n.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0437 - -4.0437. What is the nearest to -0.1 in 2, 0, g, 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -8.00084. What is m rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o - 1. Let y(d) = -5*d - 3. Let t(f) = -6*h(f) - y(f). Let c be t(0). Factor -3*z**2 + z + 2 - 6 - c*z - z**3 - 2*z**2.\nAnswer: -(z + 1)*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*j + 180 = 3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i - 789. Let b(j) = -18*j. What is b(g(v))?\nAnswer: -18*v + 14202","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m. Suppose 15 = 32*s - 27*s. Suppose -164 = -s*c + c. Let u(w) = c - 2*w - 82. Give u(n(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.625537 or 3\/19?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.3716 and -0.052.\nAnswer: 0.0713232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4483, -8997, -13561, -18199, -22935, -27793?\nAnswer: -32797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -90.73518 to zero dps.\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-24) - 300\/(-144). Solve 3*p - 4*x = 8, -2*x - 6 = n*p + x for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 56. Let b be 6\/(q\/(-18) - -2). Suppose 12 = -3*o + b. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 3*m**5\/5 + 81*m**2\/2 + 33. Find the second derivative of s(q) wrt q.\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 6:17 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = p - 2, 1 = -3*p + 3*x + 4. Let v = 0.28 - 0.18. Which is the closest to v? (a) p (b) -3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1694\/93 < 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3)*(-435)\/58?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129760 = -11*q - 28131. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*c + 653 - 131 + 1323 = -1883 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k + 5*k - 13*k - 2*k + 6*k + 12*k**2.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 215 = 3*w - 7*b, 5*b = 5. Let l = w - -69. Sort 3, l, -16, 4 in decreasing order.\nAnswer: 4, 3, l, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q. Let s = -8 - -10. Let z(m) = 9*m**2 + 2*m**2 - 3*m**s + 6*m**2. What is b(z(n))?\nAnswer: -28*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dyy when three letters picked without replacement from yydy.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6402509*s**3 + 402*s**2 + 1532*s - 2 wrt s.\nAnswer: 38415054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44104b (base 16) to base 3.\nAnswer: -22101121211010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, u: 1, l: 1}. Give prob of picking 1 t and 2 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((-1)\/2)*1. Suppose -o = 3*v + 3, o + 5 = -4*v - 0. Put q, 3, v in decreasing order.\nAnswer: 3, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/39 and -25.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -10157?\nAnswer: -2\/10157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 7*j + 12. Let q be u(-8). Let k(g) be the second derivative of -g**5 + g**4\/12 + g**3\/6 + 9*g. Let w be k(-1). Solve -w = q*l + l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 3*w + 2*w)*(50*w + 2 - 366*w + 65*w).\nAnswer: 251*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -206 - 259 + 487 - b**2 + 6*b. Calculate o(0).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -76*s - 6*s + 1577516. Does 12 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3650 in 6, 12, 2\/39?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 400\/(-1755) + (-152)\/26 + (5 - -1)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h**2. Let z(d) = d + 3. Let a(l) = 49*l - 12. Let w(m) = a(m) + 4*z(m). What is k(w(s))?\nAnswer: 8427*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.4498 plus -27?\nAnswer: -87.4498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-25)\/5 - -4)\/(40\/(-720)). Solve q*z + 159 = -35*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*n + 3*n - 515. Let q = -415\/4 - n. Let r be (-12)\/18 - (-3)\/18. Which is the nearest to q? (a) -0.1 (b) 3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1028*m + 599*m + 16742 - 149210 = 733*m for m.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v**3\/11 - 12*v**2\/11 + 42*v\/11 - 24\/11 = 0. What is v?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1843 + 0.6\nAnswer: 1843.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.03 - 0.03. Let r = 16 + -15. What is the closest to r in 1, 0.5, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 1.5. Let j = 0 + r. Let d = -149\/3 - -45. Which is the biggest value? (a) 1 (b) d (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 3*s**7\/14 - 8*s**6\/5 + 3*s**5 + 5*s**4\/2 - 23*s**3\/2 + 9*s**2 - 13*s + 1. Find t such that w(t) = 0.\nAnswer: -1, 1\/3, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*d + 96*d = -3*q - 6, -3*q - 9 = -3*d for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 64 - 16)*(-27*f + 49 - 36*f - 49).\nAnswer: -3906*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13482\/11 or -1225?\nAnswer: -13482\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 + 91. What is s rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.48, -0.5, 7, 4, -6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 404658.2877 rounded to the nearest 10000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (6 - 1) - (17 + -15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*w - 11 = 0, -2*w = -s - 0*w + 9. Let d(o) = o - 4. Let q be d(s). Suppose -a + 8 = -q. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 0 - (-52)\/13. Let a(h) = -3*h**3 + 38*h**2 - 26*h + 3. Let u(c) = -c**3 + 13*c**2 - 9*c + 1. Let k(t) = 6*a(t) - 17*u(t). Does 15 divide k(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 17397823, 17397815, 17397793, 17397751, 17397683, 17397583, 17397445, 17397263?\n\"Answer: -f**3 - f**2 + 2*f + 17397823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 329054834*f + 253792134 wrt f?\nAnswer: 329054834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((6\/(-24))\/((-2)\/(-6)))\/(45\/(-420)). Solve g = -19*t + 23*t + i, 3*t = -5*g + 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 - 336 = -n. Is 24 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8793 + -8791. Calculate the least common multiple of g and 231.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 + 5220*b**2 + 5232*b - 10448.\nAnswer: -4*(b - 1306)*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/234 at most as big as -58071?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2223482974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -14. Suppose 0 = -4*s - q*w + 5918, w - 4*w = -6. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 2 + -4 - (-48)\/12. Suppose f = 3*t + h - 23, 3*t + h + 3*h = 38. Let b be 28\/3 + 1\/(-3). Calculate the greatest common divisor of b and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 28?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 661808 and 1489068.\nAnswer: 5956272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 920766.4 micrometers?\nAnswer: 920.7664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 409008619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -20. Suppose -3*g - 5*k = -2853, c = 2*g - 0*k + k - 1909. Let p = g + -1991\/2. Calculate the common denominator of 43\/5 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18596 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) - 2*-3*sqrt(500)) + sqrt(500))**2 + sqrt(500) + 3 + sqrt(500) + 3 + sqrt(500).\nAnswer: 30*sqrt(5) + 32006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -505966276*a**4 + 425475295*a?\nAnswer: -6071595312*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 4*y - 4 = 0, 0 = 2*a + 2*y - 6*y + 16 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 + -6. Suppose 3*s + 0 = 2*q - 12, 0 = -2*q - 3*s - 12. Solve -4*n - o = -q*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -o**6\/15 - o**5\/10 + 2*o**2. Find the third derivative of d(n) wrt n.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3 - 2 + 7 + s - 3. Let j be n(-3). What is the second smallest value in -0.3, j, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69 + (-171)\/76 + -18*1\/24\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -415380428.3 rounded to the nearest 1000000?\nAnswer: -415000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-4))\/((-118)\/1652)*4. Let m be 2\/(-9) - (-61)\/(-9). Calculate the remainder when 82 is divided by m + 3 + v + 4.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(1 + 589*t - 2 + 163*t).\nAnswer: -1504*t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1826271*g*p**4 - 5*g*p**2 - 6*g*p - 24988*g - 1 wrt p.\nAnswer: 21915252*g*p**2 - 10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 1304935.\nAnswer: -1304932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.1 - 8. Let d = -6.5 + 6. Let y = 0 - d. What is the second smallest value in f, y, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**2 - 9570 + 9570.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -20, -11, -4, 1, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3162.02 - 22.02. Let j = k + -3139.97014. What is j rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 125 + -192. Let o = z - -193\/3. Let k = -7871\/5 + 1568. Calculate the common denominator of o and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2440, -563, -3566, -6569, -9572?\nAnswer: -12575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from myfyyymaamymmzmfy. What is prob of picking 2 f?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (165\/(-12))\/(1282\/(-5128)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1.5 (b) 6 (c) 177 (d) 1 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-1 + (-10)\/(-4))*-6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3385309717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51 - -4169815185.\nAnswer: 4169815134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4886502180 to the nearest integer?\nAnswer: 1697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 615129*m**2 - 7. Let c(i) = -9*i**2. What is z(c(t))?\nAnswer: 49825449*t**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 19, 62, 143, 274, 467, 734, 1087?\nAnswer: 1538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2*q + 84 = 0. Let z = 50 + q. Let h = 0 - -3. Calculate the remainder when z is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 348416788*w**3 + 13*w**2 + 261907*w - 3?\nAnswer: 2090500728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*c**2 - 20*c**2 - 7651 + 7*c**2 - 669*c + 29*c + 28131.\nAnswer: 5*(c - 64)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 123 + 8. List the prime factors of w.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1161, 1974, 2787, 3600, 4413, 5226?\nAnswer: 6039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1427481 divided by -129771?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -98.98 + 98. Let z = 7 + -6.1. Let m = z + u. Round m to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 10:15 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 240 = 16*z. Let l = z + 56. Let s be -3*(l\/4)\/4. Which is the closest to -1? (a) s (b) -3\/8 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-18)\/5)\/(-8 + (-14234)\/(-1780)). Is 1071 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -1003959.\nAnswer: 2007918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -20*1\/(-6)*-3. Let j(t) = -t**3 - 10*t**2 - t - 3. Let z be j(l). Let o = 7 + z. What is the remainder when 27 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1996 and 229697684.\nAnswer: 1996","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 5 = p, 0 = -2*q - p + 5. Suppose q*l - l - 146 = 0. Suppose 119 = 4*j - l. Calculate the highest common divisor of 12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 6 = -12. Let y be (6\/8)\/3 - 30\/(-40). Suppose 2*j - 6*j = n*f - y, 0 = 2*j - 2. Let m(z) = -7*z**2 - z. Determine m(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vxjbbjxxvxvxxcl. What is prob of picking 1 c and 1 j?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12019019 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 13662 = -2*s, s - 56*o + 52*o = 6806. Calculate the lowest common multiple of s and 6.\nAnswer: 20478","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (11 - 12 - -25)*(-2)\/(-27). What is x in 50\/9*x**3 + 88\/9*x - 140\/9*x**2 - j = 0?\nAnswer: 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3941012, -7882013, -11823014, -15764015, -19705016, -23646017?\nAnswer: -27587018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 258*o**4*x**2 + 2*o**4 + 2*o**3*x**2 - o**2*x + 2*o**2 - 41*o*x**2 + 10*x**2 wrt o.\nAnswer: 6192*o*x**2 + 48*o + 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -d**2\/2 - 4*d - 4. Suppose 21 = a + 3*a + 3*u, -4*a - 5*u + 27 = 0. Let o(h) = -2*h - 5. What is a*o(t) - 4*k(t)?\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 30 = -10. Let r be (-10)\/3*66\/(-55). Let t be r - 8 - (0 - 6). Solve t*f = p - 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g + 33 + 38 - 68)*(38*g**3 + 2*g**3 - 2*g**4 + 13*g**3).\nAnswer: -12*g**5 + 312*g**4 + 159*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 4*q. Let l(p) = -246*p**2 - 144*p. Let h(w) = 4*i(w) + l(w). What is the second derivative of h(j) wrt j?\nAnswer: -500","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -159.048 * 0.2\nAnswer: -31.8096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.14 - -2.14. Which is the nearest to -16\/9? (a) g (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggoggcgccffcgg. What is prob of sequence gc?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -5*f**3\/6 - 2*f**2 + 2*f. Suppose 5*o + 3*h - 115 = -2*h, -h + 80 = 4*o. Suppose 0 = -15*q + o*q + 12. Give c(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*211 + (18 - 56\/4). What is i rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 10*n**3 + 2*n**2 + 2*n + 1. Determine s(-2).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 118 - -18423?\nAnswer: 18541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 6*i = 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -423, -3924, -13703, -32946, -64839, -112568, -179319?\nAnswer: -268278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/d**(3\/2))**(-13\/2))**(7\/2))**(-14\/5))**(-42) assuming d is positive.\nAnswer: d**(13377\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -49739, -49735, -49729, -49721, -49711, -49699, -49685?\n\"Answer: a**2 + a - 49741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/8)*(z**3*z)\/z)\/((z**2*z)\/z*z*z**(2\/11)))**(-9\/7) assuming z is positive.\nAnswer: z**(243\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*f = -103, a - 6*a = 2*f - 427. Is a greater than 88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3710*g**3 + 7562*g**2 + 154. Let n(r) = -1237*r**3 - 2521*r**2 - 55. Let d(i) = -5*a(i) - 14*n(i). Find the third derivative of d(z) wrt z.\nAnswer: -7392","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -63*i**2 - 654*i + 50593. Give p(-34).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -6728, -5, 3.\nAnswer: -6728, -5, 3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o**3 + 861*o**2 - 862*o**2 - 2*o + 8*o + 4. Let s be b(-2). Solve 4*y + 11 = -r, -2*y - 4 - s = 4*r for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/(-3)*(-30)\/(-630)*-14?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1942713.\nAnswer: 3, 215857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 6*c**3 - 2*c**2 + 2*c - 1. Let f = -23 - -31. Let r be 4 + -6*4\/f. Calculate p(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.1, 93, -1, -0.3.\nAnswer: -5.1, -1, -0.3, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lwh when three letters picked without replacement from hhwlllwwwwhllhlll?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j - 76 + 0*j + j**3 + 2*j**2 + j + 79. What is the units digit of z(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011010 + 10110010101100?\nAnswer: 10110001010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.4 (b) 4 (c) -5 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2936130 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 3 - (-15)\/(-330)*-16.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -r**6\/70 - 3*r**5\/28 - 3*r**4\/14 + 2*r**3\/7 + 12*r**2\/7 - 4*r + 1. Factor x(o).\nAnswer: -3*(o - 1)*(o + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b. Let d(w) = -12*w**2. Determine o(d(j)).\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3104234 (base 7) to base 10\nAnswer: -371249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*i + 5*i + 2*i. Let t be (i - 56)\/8 - -10. Solve -t*n - 11 = 2*j, 4*n + 13 = -j - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n\/n**(-15))\/n)\/n**29*(n**28*n)**47 assuming n is positive.\nAnswer: n**1350","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 317620?\nAnswer: -317617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21535*j**4 + 5*j**2 + 336084 wrt j?\nAnswer: 86140*j**3 + 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3753959.6 to the nearest 10000.\nAnswer: -3750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 2:10 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121569 (base 13) to base 11.\nAnswer: -275253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.3 + 0.3. Let f be 4*(10\/20)\/(0 + 21). What is the closest to -0.1 in -2\/15, f, y?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqszqzun. What is prob of sequence zq?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 397 = -27. Let c = 345\/2 + g. Let z = 65 - c. Which is greater: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*18\/8*4. Let c(g) = g**2 + 6*g - 15. Let b be c(h). Let x be b\/(-54) + (-152)\/(-765). Do x and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 98641*f**3*k*o + 1437*f**3*k + 2*f**3*o**3 + 4*f**2 - f*k - 2 wrt o.\nAnswer: 98641*f**3*k + 6*f**3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*m**2 + 0)*(1794*m**2 + 22 + 22 - 10 - 34).\nAnswer: -3588*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3903290?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237 + 457 - 2*l**2 - 221.\nAnswer: -2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 3*r - 15. Let a be l(7). Let m(v) = 18*v - 117. Does 9 divide m(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 287013 and 5133.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from bffbbffbbbff?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 45.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55522?\nAnswer: 2, 17, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4330 - 13100?\nAnswer: -3220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k - 5*t - 40, -3*k - 4*t - 231 + 207 = 0 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12600216, 25200435, 37800654, 50400873?\n\"Answer: 12600219*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 990\/(-10)*-3*4\/(-27)*(-1386)\/1848?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) - 2*2*sqrt(104))\/(2*sqrt(512)).\nAnswer: -3*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/14*(119\/(-68))\/(217\/496)?\nAnswer: -40\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*g**2*s + 791*g**2 - 94295*g*s + 230 wrt s?\nAnswer: -3*g**2 - 94295*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 1:39 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3327 = -19*i - 3232. Let t = -1 + 1. Let k be 23 + t - 0\/1. Solve -i*a = -k - 2 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44446 (base 8) to base 4.\nAnswer: 10210212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(91))\/(3*sqrt(700)).\nAnswer: sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1, -61, -93, -85, -25?\n\"Answer: 2*s**3 + 2*s**2 - 80*s + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**4 + 686*k**3*x - 9*k**3 + 127*k**2*x + k**2 - 25*k*x + 12 wrt k?\nAnswer: 48*k + 4116*x - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 552 = -3*w + 26*w. Calculate the remainder when 74 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 345248\/424475 + -1\/50937. Calculate the common denominator of i and 17\/124.\nAnswer: 9300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 477 - -734. List the prime factors of z.\nAnswer: 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401053 is divided by 7567?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -766444 minus -1.914?\nAnswer: -766442.086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -22 + 20*t**3 + 29 - 7*t**2 - 19*t**3. Let k be h(7). Let x = 0 - -3. Solve -y + x*u + 2 = k, -4*u = -12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2240995.\nAnswer: 5, 448199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2982, 5966, 8950, 11934, 14918?\nAnswer: 17902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s. Let z(d) = -2*d - 12. Let l(n) = 2*i(n) + z(n). Let u be l(-3). Solve u = 4*j + j + 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11210 = 4*m - 2*o, -829 = -m - 4*o + 1951. What is m rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -260639635.30000017 - -260639650. Let y = -14.7 + c. Round y to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + x**2. Suppose 3*y = -4738*o + 4743*o - 28, y + 11 = 2*o. Let t(l) = 0*l**3 + 3*l**3 + 7*l**2 + l**3 - 2*l. Determine o*u(s) - t(s).\nAnswer: s**3 - 2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 7:38 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 7*7\/98*98.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) 1\/6 (c) 18 (d) 0.5 (e) 89\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + 6\/4 + 51085\/34054. Let l = 493069\/6078639 + g. Let w = l - -2\/21. Is w at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 2 - -4 - -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*o**2 - 66*o**2 - 32*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109, 87, 65, 43?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2, -337, -1372, -3455, -6934, -12157, -19472?\n\"Answer: -58*j**3 - 2*j**2 + 77*j - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z + 4. Let d(x) = -3. Let o(s) = 8. Let c(w) = -5*d(w) - 2*o(w). Calculate 5*c(p) + g(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352 is divided by 42.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -3*x**5\/100 + 3*x**4\/2 + 336*x**3\/5 + 4416*x**2\/5 - 7*x - 67. Solve u(s) = 0.\nAnswer: -8, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b + 2 + 2*b - 3 + 3*b**2 - b. Suppose -5*y - 16 = -y. Is x(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11471559?\nAnswer: 3, 11, 29, 11987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47130982.\nAnswer: 2, 19, 563, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) -0.1 (c) 0.14185\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9385003cm to kilometers.\nAnswer: 0.000009385003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*p = -327, 4*p + 93 + 33 = -2*j. Put 3, -3, j, 1 in decreasing order.\nAnswer: 3, 1, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 9*b**2 - 9*b + 8. Let l be z(-10). Let h be -2 + -1 + 19 + l. What is the greatest common factor of 2 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 1\/4*f**4 - 8\/3*f**3 - 21*f - 219 + 11\/2*f**2. What is y(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3\/4 + 148431*q**2 + 1187439*q\/4 + 296859\/2.\nAnswer: 3*(q + 1)**2*(q + 197906)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 <= 4\/2079?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**5 + p**4 - 6*p**3 + 5*p - 1. Let y(r) = -r**5 + 2*r**4 - r**2 + r - 1. Let f(l) = -2*y(l) - z(l). Factor f(v).\nAnswer: (v - 3)*(v - 1)**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11433752 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -349 + 5fa5a?\nAnswer: 5f711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.09, 1\/4, -2, -6298 in increasing order.\nAnswer: -6298, -2, 0, 0.09, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2 + 2 = 0, -2*z + 3*o = 8. Let f(a) be the first derivative of -2 - 2\/3*a**2 - 2\/27*a**3 - z*a. Find h such that f(h) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*f*k**2*p**2 + 7211*f*k**2 + 2*f*k*p - 4021*f*k - 249*k**2*p**2 - k*p + 6*p**2 wrt k?\nAnswer: 10*f*p**2 + 14422*f - 498*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**4\/11 + 508*i**3\/11 - 7504*i**2\/11 = 0.\nAnswer: -268, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 14, 5\/2, 1, -0.4 in ascending order.\nAnswer: -0.4, 1, 2, 5\/2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3916 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**4\/4 + 255*s**3 - 14013*s**2\/2 + 63423*s - 763263\/4 = 0 for s.\nAnswer: -1047, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 10*h - 21. Let z be u(4). Solve 8*j + z*j = 33 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((4 + -3 - 3) + 30\/(-9))*-18. Solve -19 - z = -23*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2652 is divided by 63?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2124878050.2 minus 40?\nAnswer: -2124878090.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*o**3 + 707*o + 3 - 707*o - 5*o**2 as k*o + u*o**3 + l + a*o**2 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 105 - 56. Let n be s + -4 + -4 - -4. Solve 4*p - j = 3*p + 10, -4*p = -5*j - n for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25489 rounded to the nearest 100?\nAnswer: 25500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -186, -294, -410, -540, -690, -866?\n\"Answer: -o**3 + 2*o**2 - 107*o - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -154506 (base 9) to base 11\nAnswer: -65569","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -148 - -172. Calculate the highest common divisor of h and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05557 * 0.1\nAnswer: -0.005557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(2\/3)*z*(z**4*z*z*z)\/z*z*z)\/(z**(-3\/7)*z**(-3)*z))**(-28))**(1\/17) assuming z is positive.\nAnswer: z**(-1016\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**14*h*h**(-16) assuming h is positive.\nAnswer: 1\/h","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + h**2 + h - 61. Suppose -3*b - 22 = -4*z, -6 = z - b - 11. Does 15 divide y(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**4 + d - d)*(2*d + d - d + (0 + 4 - 2)*(-37 + 37 + 2*d)).\nAnswer: -12*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3935050 divided by -787010.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -68*t + 10. Let c be p(-4). What is the highest common factor of c and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -62 + 7*q + 56 + 24*q**3 - 10*q**3 + 2*q**2 + 0*q**2. Let k be h(-6). Let i be k\/((-72004)\/18000 - -4). What is i rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -42*n**2 + 1256*n + 120 = 0.\nAnswer: -2\/21, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (8 - 1) + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 - 41. Solve 8 = 2*o - y for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60.1 + 60. Which is the smallest value? (a) o (b) -4\/3 (c) -14\/9 (d) -3 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-3\/7)*l*l**(-1\/4))\/(l\/l**(-2\/15))**(-9))**(-35))**(19\/5) assuming l is positive.\nAnswer: l**(-27987\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 14, 65*q + 179690 = 3*j + 69*q. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 128, 4 in increasing order.\nAnswer: -2, 3, 4, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 480348607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of 0 - 5\/84*q**8 + 0*q + 0*q**3 - 5*q**2 + 1\/15*q**5 - 26\/105*q**7 + 1\/3*q**4 - 3\/10*q**6. Factor h(l).\nAnswer: -4*l*(l + 1)**3*(5*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*c = k + 3, -k - 24 = 2*c. Find the common denominator of k and 81\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 12:13 AM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**3 + 3*g**3 - 5*g**3 + (-g + 3*g - g)*(-6*g + 5*g**2 + 6*g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8175 + 4090 + 4*l - 2*l + 4085.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 7*q**3 + 4*q**2 - 14*q - 3. Calculate the lowest common multiple of 150 and r(3).\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.06 + 0. Let z = y + -0.1. Let h = 0.06 + z. Which is the closest to h? (a) -1 (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 6 + 442*n - 878*n + 437*n. Let g(i) = -4*i - 17. Determine 3*g(o) + 8*z(o).\nAnswer: -4*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -5*y**2\/2 + 6*y + 8. Let l be k(-6). What is the greatest common divisor of l and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 1:31 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 138 - o**4 - 32*o**3 + 2*o**2 + 124 - 1447*o + 34*o**3 - 262 to the form u + n*o**2 + x*o + h*o**4 + w*o**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -0*i + 4*i. Let y(b) be the first derivative of b**4\/4 - b**3 - 3*b**2 + 3*b + 1. Determine y(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 684330*f**2*g**2 - 3*f**2*g - 8*f*g**2 - 18958847*f*g + 5*g**2 wrt g?\nAnswer: 1368660*f**2 - 16*f + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -1, -50, -21, -5, 0 in decreasing order.\nAnswer: 19, 0, -1, -5, -21, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 264.0544 - 264. What is l rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 666 - 307 - 340 + 6*d**2 to v*d + l*d**2 + s and give s.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -1\/30*g**5 + 0 + 296*g**2 + 1\/120*g**6 + 0*g + 0*g**3 - 1\/4*g**4. Let t(m) = -m. Calculate 3*t(r) - x(r).\nAnswer: -r**3 + 2*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*m = 73*m - 420. Let p = 204 - m. Let y(z) = 2*z. Calculate y(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -47\/6 (b) -3 (c) -5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 166 and -0.27761827.\nAnswer: 165.72238173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eyf when three letters picked without replacement from ffzezynzyyzzzyzzyy?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 8, q: 2}. What is prob of sequence qqkk?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**4\/7 - 54504*t**3\/7 - 7786*t**2.\nAnswer: -2*t**2*(t + 1)*(t + 27251)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from xrarzxrrrrrxazxrrx?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 19, 44, 117, 262, 503, 864, 1369, 2042?\n\"Answer: 4*d**3 - 3*d + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-32 - -23) - (2 - 4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 283 - -137. What are the prime factors of g?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47 + 106. Let m = 205 + -190. Calculate the remainder when s is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + 465\/8)\/((-12)\/(-1008)*-3). Is u greater than -1711?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1416328\/26 + 28\/(-182). Suppose 0 = -21*s + 27*s - g. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddqdqdqqdd. What is prob of sequence qq?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -5*l - 1. Let z(s) = -3*s. Let c(a) = 4*p(a) - 7*z(a). Suppose 3*b = 18 - 0. What is the lowest common multiple of 14 and c(b)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, n: 1, d: 2, o: 2, h: 1, y: 1}. What is prob of picking 1 d, 1 y, and 1 h?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3 - 2 = 0. Let o(k) = 16*k - 1. Let n be o(i). Suppose -h + 3*r + n = -r, -2*r = 6. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*k + 890. Let o = k - -277. Let x = 18 + o. Round x to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50530 (base 6) to base 5.\nAnswer: 203203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b + 2. Let h be a(6). Let u(g) = -g**2 + 46*g. Let m be u(46). Solve 5*r + 5 - h = m for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -1. Let n(a) = 2*a. Let v(m) = 2*f(m) + n(m). Suppose 5*c = -4*g + 1 - 5, -3*g + 28 = -4*c. What is the units digit of v(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 201 or 11062\/55?\nAnswer: 201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c**2 + 165500*c + 10571520 = 0. Calculate c.\nAnswer: -33036, -64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6804643 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 12*i - 4. What is h(8)?\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*g - 2*g + 0 + 0 + (-2 + 5 - 1)*(g + g - 4*g))*(-3*g**3 + 0*g**3 + 6*g**3).\nAnswer: -12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1001001110 (base 2) to base 15\nAnswer: -295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -2*s - 3*y, 5*s - 25081*y + 25084*y = 48 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -1309?\nAnswer: 1312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 + -23. Suppose o*r = 13 + 5. Suppose 0 = -j + 2 + r. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w + 3*w + 13*w + 19 - 19 - 3*w + 6*w - 2*w - 3*w + (2*w - 5*w + 4*w)*(4 - 1 - 4) + 5 - 5 - w.\nAnswer: 13*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m - 28. Let l be y(-15). Suppose 0 = -2*g - l*z + 470, 1340 - 155 = 5*g - 5*z. Suppose 3*k - g = -83. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddttddddddtttdtd. Give prob of picking 4 d.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a + 47 - 2*a - 23. Let h be t(8). Do h and 15 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9802018 divided by -2?\nAnswer: -4901009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = -182 + 8. Let l be (11\/(99\/6))\/(a\/3). Is 1 less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*l = -15. Let h be 3\/6 + l\/(-6). Let w = 16 + -18. Sort h, w, 2 in increasing order.\nAnswer: w, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4032 and 5348.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**2 - 25*j - 7. Calculate the remainder when 75 is divided by d(-11).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26770.6 times 0.5?\nAnswer: -13385.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -12*x - 17. Let i(f) = 48*f + 67. Calculate 2*i(k) + 9*p(k).\nAnswer: -12*k - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16244.\nAnswer: 2, 31, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -a**7\/210 + a**6\/30 - a**5\/12 + a**4\/12 - 3*a**2\/2 - 4. Let y(v) be the second derivative of m(v). Let y(k) = 0. What is k?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -8*v**2 + 4. Let t(s) = 8*s**2 - 3. Let j(x) = -8*t(x) - 6*z(x). Let n(b) be the second derivative of b**3\/3 + 2*b - 20. What is n(j(r))?\nAnswer: -32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 329392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -13*p + 171. Let k(f) = -25. Determine j(t) + 5*k(t).\nAnswer: -13*t + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*t*v - 102695*t + 1446*v wrt v.\nAnswer: 4*t + 1446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 + -498 + (-4 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(-12*k**2 + 35*k - 17*k - 17*k) - 6*k**2 + 8*k**2 + 9*k**2.\nAnswer: 23*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 803 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 14*r. Let u(n) = 112021 - 112021 - 129*n**2. Give p(u(v)).\nAnswer: -1806*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 8:00 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -5 - (140 + -137).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jgghbjjgjhbbgbb. What is prob of picking 1 g, 2 b, and 1 h?\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 99*y**2 - 25*y + 12499. What is o(100)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 1 + 2)*(2*l - 2*l + 2*l) + 4*l + 37 - 37)*(-181*l + 24*l - 60*l) to the form r*l + f + b*l**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*d - 56*d + 68 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-4 - (10 + 6)) - -19 - -9?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 6:07 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + d. Suppose 2*y - 155 + 1 = 0. Let c(m) = 5*m + 78*m**3 - 1 + 1 - y*m**3 + 6*m**2. Let z(b) = c(b) - 4*q(b). Solve z(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88246 - 1901?\nAnswer: -90147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -16*y + 2980821. Let c(o) = -4*o**2. Calculate g(c(n)).\nAnswer: 64*n**2 + 2980821","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1090 a factor of 19378020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**3 + 3*f**3 - 5*f**3)*(3*f + 3*f - 4*f).\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (70\/(-100)*2 - (-32)\/10)*(-30)\/252\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 43*f**2 - 41*f + 88. Is 89 a factor of o(-36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g + 4. Let d(t) = t**3 + 3*t**2 + 2*t + 2. Let h be d(-2). Let c be z(h). Solve -1 = 4*b - c*b - q, -b - 5*q + 5 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -24\/143?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -923 + 1196 = 21*l for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/36 and 182\/(-88) - ((-42)\/(-24) + -3).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 8:41 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 times -620594?\nAnswer: -61438806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 147 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*z - 13*z + 505. Which is smaller: z or 102?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5*(sqrt(1216) - -1*sqrt(1216))*5 - (-2*sqrt(76)*1 + -5)).\nAnswer: 5 + 404*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 654 = 4*b, -3*b - 280 = -0*w - 2*w. Suppose 135*n = w*n + 2. Solve n - 18 = 4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1603719.\nAnswer: 3, 13, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 4*h + 497265. Let y be (-2)\/(-6) - h\/(-22950). Let a = y - -1\/4590. What is the common denominator of 71\/6 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 1. Let i be g(2). Calculate the smallest common multiple of (i*8\/(-12))\/(-1) and 62\/4 + 3\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2046609 divided by -88983.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*n - 8 = 0, -8*d + 28 = -4*d + 4*n. Let z(g) = 4*g - 1. Let h be z(1). Solve 0*j - d = -h*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -8. Suppose -4*j - 1984 = -4*y, t*y + 3*j - 1989 = -519. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 97*b**2 - 3*b - 138. Let z be n(-97). Solve 0 = z*i - 120*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d - 7. Let j(i) = -2*i + 21. Give 4*j(s) + 11*p(s).\nAnswer: 3*s + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(6\/(-2) - 0). Suppose 3*a - 5*w - 43 = -3, h = 4*w - 16. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -627, -1206, -1725, -2184?\nAnswer: -2583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-502)\/(-6) + 1)*(-3)\/(-2). Let k = 42 + -121. Let v = k + f. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nynryyrnnynyryr. Give prob of picking 2 r.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(891) + -3 + -3*sqrt(891)))**2.\nAnswer: 108*sqrt(11) + 3573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 8:56 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, j: 7, z: 11}. Give prob of picking 2 z.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*x + 11. Solve 0 = 2*u - 3*q + x, 0 = 3*u - 3*q + 15 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - -12171.\nAnswer: 12173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-198)\/(39 - 6) - -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 233387470 to the nearest integer?\nAnswer: 15277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-6\/17)*w**(-2\/5)*w*(w**6\/w)\/(((w\/(w*w\/(w*w*w**(-35))))\/w)\/w) assuming w is positive.\nAnswer: w**(3591\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 3\/7 (c) -24\/37 (d) 2\/11 (e) 14 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75217156?\nAnswer: 2, 7, 73, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 207*z - 1. Let y(p) = -399*p + 3. What is 5*w(q) + 2*y(q)?\nAnswer: 237*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22433887 by 1043.\nAnswer: -21509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 5*l = 17, -17 = 3*i - 2*l - 0*l for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 b when two letters picked without replacement from {z: 1, u: 2, a: 1, m: 1, b: 2, w: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1, -32, -83, -154, -245, -356?\n\"Answer: -10*b**2 - b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 + -14. Let d = -3 + f. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 531356 is divided by 984.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2164?\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**3 - 6*m**2 - 11*m - 11. Let y(j) = j**3 - 3*j**2 - 6*j - 6. Determine 6*n(c) - 11*y(c).\nAnswer: c**3 - 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z - 2. Let o be (-3 - (-2 - -2)) + 1. Let l = o - -5. Let f be m(l). Solve -f*i - 15 = -5*j, -6 = 5*i - 2*j - 0*j for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8364 and 4346?\nAnswer: 443292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -778*g + 11172. Let z be m(14). Calculate the greatest common divisor of 2072 and z.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80311, -80312, -80313?\nAnswer: -80314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -0.3, 3\/8, -0.6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*a**3*q**3 + 192*a**3*v**3 + 7*a**2*q**2*v**3 - 2*q**3*v**2 - 11*q**3 + 6*q*v**3 wrt a.\nAnswer: 24*q**3 + 1152*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 923977.6 micrometers?\nAnswer: 923977600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 12498633.52.\nAnswer: -12498633.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 295115 - -0.109\nAnswer: 295115.109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 20*k - 948 = 3*z, -k = 2*k - k + 96 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15615279 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2083.\nAnswer: 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/5 of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 551 and 8645.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (28038\/(-9))\/(1 + 5\/(-3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2535665816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 0*t**2 + 1\/6*t**4 + 14 - 7\/3*t**3 + 0*t - 1\/60*t**5. Let q(b) be the third derivative of a(b). What is q(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + 5*s + 7, -5*g - 29 = 2*s - 13 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8165703 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -6. Let a = -214619\/14 - -30659\/2. What is the biggest value in a, d, 0.5, 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 1. Let t(d) = -3*d**2 + 3*d + 6. Let c(m) = -4*f(m) + t(m). Suppose -x - 4 = 2*z + 2, 0 = -3*z + x - 14. Give c(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 2. Suppose 3*f - g*f = 3. Suppose -f*n = -11 - 13. Solve 0 = -n*a + 3*a - 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**4\/v**(2\/25))\/(v**(-1)*v)**20 assuming v is positive.\nAnswer: v**(98\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17972.896 - 103.\nAnswer: -18075.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1090141316.\nAnswer: 2, 11, 24775939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q + 0*q + q - 3*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7462081.346 rounded to the nearest 1000?\nAnswer: -7462000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48 and 21\/403?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 8*v**2 + 4*v - 1. Let t(j) = 15*j**2 + 9*j - 3. Calculate -5*q(l) + 2*t(l).\nAnswer: -10*l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -173 + d4?\nAnswer: -9f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -15 - 0. Let l be 6\/o - 0\/(-2). Factor -6*z**4 - 2 + 0*z**5 + 4*z**5 + 8*z**2 - 2*z**3 - l*z**3.\nAnswer: 2*(z - 1)**3*(z + 1)*(2*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 59722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/11855865 and 80\/54536979.\nAnswer: 272684895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 6 - 1 + (0 + 0 + 1)*(0 + 3 - 1))*(2*r**4 - 2*r**4 + r**4)*(r - 4*r + 4*r).\nAnswer: -6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 17\/(-7) - (-1606651)\/716912\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 647 = -5*h, -2*h - m = -234 - 27. Calculate the greatest common divisor of h and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pg when two letters picked without replacement from mipmigmsniiipnmiigmi?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -130227 - -6?\nAnswer: -130221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of r**4\/4 - 31*r**3\/9 - 23*r**2\/6 + 11*r\/3 - 126. Factor j(q).\nAnswer: (q - 11)*(q + 1)*(3*q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1990259*a**2 + 1990259*a**2 - 1958*a**3.\nAnswer: -1958*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2275483 from -1877.\nAnswer: 2273606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2 = 1. Let u be (-4 + 5 + -3)*(-5 + 3). Let i = -49 - -85. Solve -5*y = 4*m + 4, -2*y + u*m - i = l*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -q - 9. Let a be ((-4)\/2)\/(8\/q). Suppose 0 = 3*t - a*x - 24, x + 14 = -3*t + 38. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 64921.28ml?\nAnswer: 64.92128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*m + 2*m. Let h be m\/(-11) + (-5)\/(-88). Are h and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -67 - -101. List the prime factors of p.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5824 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: Suppose -107 = 6*g - 101. Which is the fourth biggest value? (a) 5 (b) -0.2 (c) 8 (d) g (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52*x**5 + 220*x**4 - 6*x**2 + 30063*x wrt x?\nAnswer: 1040*x**3 + 2640*x**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4245*x - 4251*x + 60 = 0 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2453 (base 7) to base 3.\nAnswer: 1021002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/7, 4\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v - 11*v - 4*v - 11*v - 14*v + 50*v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 2.4. Let v be 1\/11 + 1610\/77. Suppose 22*n = v*n - 2. Put n, -3, y in descending order.\nAnswer: y, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + 0 + -2 + -5 + (-1*sqrt(19))**2.\nAnswer: sqrt(19) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 270 and 450?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-67 - -38 - -22)\/(14\/(-6)))\/(18\/(-4)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, n: 1, x: 2, g: 5, h: 6}. What is prob of sequence ggm?\nAnswer: 50\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 53*m + 82*m - 23 + 39.\nAnswer: 135*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a century in months?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 5*b**2 - 5*b + 10. Let j be h(2). Suppose j*o - 3976 = 4472. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -16*r - 141. Let c be t(-9). Suppose 3*f - 2*v + c*v - 179 = 0, -v = 2*f - 119. Calculate the highest common divisor of 540 and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 98574707 to the nearest integer?\nAnswer: 9928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2967751903?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 702*l**2*u + 46*l*u**3 - 16517*u**3 + 2*u**2 + 4*u wrt l?\nAnswer: 1404*l*u + 46*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 68363489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -282314.001\nAnswer: 282314.001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 704 and 15.\nAnswer: 10560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/4 + 7\/(-14). Calculate the common denominator of 70\/88*6 + -1 and n\/(-1) + (-162)\/28.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 10:41 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -56 (b) 0.3 (c) -4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 6:35 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21432.\nAnswer: 2, 3, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -13*x**2 + 12*x**2 - 4*x - 6 - 2*x. Let t be d(-3). Solve 5 = 4*q - t*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 151245 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/10 of a millisecond?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 176907 a multiple of 286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/(494\/3250)*2\/10.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 68297 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1 - 4 + 8*g - 2*g + 0*g - 3*g**2.\nAnswer: -3*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12264234851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24\/10*(-270)\/(-162). Solve -3*m + 22 = 2*m - o*a, 0 = -m + 5*a + 17 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.334 + -3.734. Which is the smallest value? (a) 5 (b) 1.3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -54, 5, -1 in descending order.\nAnswer: 5, -1, -10, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 2, -0.4, -11\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 12*n + 10. Let l = 329 + -317. Calculate h(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y - 12 = -10*y - 4*o, -5*y - 9 = -3*o for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6.17 or 43?\nAnswer: -6.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -946, -1913, -2870, -3811, -4730, -5621, -6478, -7295?\n\"Answer: o**3 - o**2 - 971*o + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5043 to 1 decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -193*b - 2509. Let j be l(-13). Solve j = 65*w - 9*w - 56 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36765 = -2*c - 6*j + 36817, -c + 16 = -2*j for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 15*d - 1. Is 4 a factor of f(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5601473133, 5601473134, 5601473135, 5601473136?\n\"Answer: p + 5601473132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + 0. Is ((-14)\/(-3))\/(p\/9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -9.12. Let m = 5.88 + u. Let l = m - 3. Which is the second smallest value? (a) l (b) 1 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0*b = -9. Let r be (3\/b)\/((-2)\/(-48)). Let x be (1 + (-4)\/3)\/(33\/(-297)). Solve 4*w - 3*y = 29, x*y = w + 2*y - r for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*n**2 + 15*n**2 + 1 + n**3 - 10*n**2 - 13*n + 3 in the form o + y*n + b*n**2 + g*n**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 + 65 = 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 120353 + 16?\nAnswer: 120371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55661061 and 9.\nAnswer: 166983183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -608604 - -5.7145.\nAnswer: -608598.2855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 97643 >= 3612838\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.23 + 0.98. Let o = -0.03323 + -0.71632. Let b = o + n. Round b to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -3*d**5\/4 - 2007*d**4\/4 - 178701*d**3\/2 - 3547881*d**2\/2 + 16733661*d\/4 + 23474025\/4 = 0?\nAnswer: -323, -25, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r + 4. Suppose 0*n = 2*n - 3*b - 22, 2*b = 2*n - 18. Suppose 3*x - 29 - 10 = 0. Suppose -7 = n*c + x. Let h(u) = 15*u + 21. Give c*h(m) + 21*l(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 173491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -58*j - 5*t - 10, 7*t - 2*t + 3 = -3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 4*z + 71 = 0, -2*k - 7*z + 5*z + 32 = 0. Let l(n) = -n + 21. Calculate l(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 49192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -822*b + 3203081 - 3203081 as o + i*b and give i.\nAnswer: -822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/11122 and -51\/134.\nAnswer: 11122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 10*i**2 + 31*i + 94. Give s(-7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1077430470.\nAnswer: 2, 3, 5, 83, 103, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**3 + 14*v**3 - 3*v**3 - 3*v**3.\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -632 - -623 - (2 + 4 + 43).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - h + 60 = 0. Suppose d = h + 4. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from oooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5\/17 (b) 0.5 (c) 2 (d) 5 (e) 4 (f) -15\/14 (g) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of 23*d**10\/151200 + 17*d**6\/360 + 11*d**5\/20 - 20*d**2. Let h(c) be the third derivative of a(c). Differentiate h(k) wrt k.\nAnswer: 92*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 338 - 61788?\nAnswer: -61450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5692 - 3091. What is the hundreds digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012637732 rounded to five dps?\nAnswer: -0.00126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5 - 1 - 1 + 12*m**2 wrt m?\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(119)\/sqrt(7) + -4.\nAnswer: -4 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 13*y**2 + 11*y - 9. Let q be n(-12). Solve -3 + 15*l - 12*l**2 - 2 - 1 + 3*l**q = 0 for l.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 98\/84*(7 + -3)*-1?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is fe3e - -8?\nAnswer: fe46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2390\/7*c**3 - 2\/7*c**5 + 110\/7*c**4 + 25610\/7*c**2 - 135200\/7*c + 281216\/7.\nAnswer: -2*(c - 13)**3*(c - 8)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1248 divided by -416?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4956*o - 4485194. Calculate i(905).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -68, -71, -80, -95, -116, -143?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((2\/60)\/((-46)\/138)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 145900903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uum when three letters picked without replacement from mmmmmmmuummm.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1301212103 - 10321?\nAnswer: 1301201122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -70*p + 2245. Let x be j(32). Suppose -9 - 1 = -5*f. Sort -2, f, 3, x in decreasing order.\nAnswer: x, 3, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzhhhhzzzzhzhh. What is prob of sequence zhz?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 288 times 3.79\nAnswer: 1091.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - x - 2 = 0, -s - 170 = -4*x - 148. Let q(v) be the third derivative of 1\/8*v**4 + 0 + 1\/120*v**6 + 0*v**3 + 1\/15*v**5 + 0*v + 4*v**s. Factor q(i).\nAnswer: i*(i + 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 7:51 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6138.\nAnswer: 2, 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 185 and 999?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15873 and 24531.\nAnswer: 269841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -6. Let t(x) = 1. Let c(p) = p + 1. Let j(i) = w*c(i) - 2*t(i). Is 16 a factor of j(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 16549509, 16549511, 16549513, 16549515, 16549517?\n\"Answer: 2*b + 16549507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-2))\/(12\/4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 3*c = 12, -183*n + 181*n + 2*c = 16 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + 14 + -38 + 27 + 61.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 641 bigger than 760?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o - 3*o**3 + 3*o)*(1 + 0 - 2)*(8 - 26 + 12) to the form k*o + z + j*o**3 + p*o**2 and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/4 + 426\/12. Let c(d) = h*d + 2 - 4 + 2. Let f be c(5). What is the highest common divisor of f and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -6*g**2 - 39*g - 9. Give w(-8).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f - 5 - 9 + 14. Let p(y) be the first derivative of 0*y + 1\/3*y**3 + 1 + 0*y**2. Determine p(t(w)).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sskksksksk. Give prob of picking 2 s and 1 k.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 164841 (base 12) to base 16\nAnswer: 5d1b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 27\/42*(-380)\/(-57) - 4\/14. Let r(d) be the second derivative of -5\/4*d**3 - 9\/2*d**2 + 1\/8*d**p + 0 - 32*d. What is h in r(h) = 0?\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4148675?\nAnswer: 5, 165947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2636 and 2?\nAnswer: 2638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 13*i - 4. Suppose 0 = 4*y - 5*c - 31, 0 = 2*y - 2*c + c - 11. Let s be k(y). What is the derivative of 25*g**4 - 6 - s*g**4 + 22*g**4 wrt g?\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8865593200 rounded to the nearest 1000000?\nAnswer: -8866000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*u**2 - 7*u + 7*u)*((1 - 1 + 2)*(-u + 3*u + 8*u) - 5*u + 0*u + 4*u) in the form t*u**2 + h*u**3 + z*u + q and give h.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 145250 and 72625.\nAnswer: 145250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128519 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.589975 rounded to two dps?\nAnswer: 2.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4 + 478*x**3 + 59172*x**2 + 1993778*x - 17022229.\nAnswer: (x - 7)*(x + 89)**2*(x + 307)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/7 + 1182*q\/7 - 33372\/7.\nAnswer: 2*(q - 27)*(q + 618)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**4\/7 - 24512*h**3\/7 - 2316696*h**2\/7 + 15442272*h\/7 + 66514932\/7 = 0. What is h?\nAnswer: -99, -3, 9, 6221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 3. Let q be 58\/3 + (26\/3 - 10). Find the third derivative of 4*a**f + 5*a**2 - q*a**4 - a**2 + 0*a**4 wrt a.\nAnswer: -336*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (24 - (-10 - -19))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 - (-11 - (-28 - (-1020)\/34)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vct when three letters picked without replacement from tiiwijwjcwwv?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**6\/70 + 9*y**5\/140 + 22*y**4\/7 + 114*y**3\/7 + 216*y**2\/7 - 4924*y. Find m such that j(m) = 0.\nAnswer: -6, -2, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4186*u**4 - 4*u**3 - 1221*u - 16. Let c(j) = 4187*j**4 - 3*j**3 - 1220*j - 12. Let q(t) = -4*c(t) + 3*n(t). Find the second derivative of q(h) wrt h.\nAnswer: -50280*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*v + 176, -34 = -h - 2*v - 4. Let q = -26 + h. What is the units digit of 374\/q - (-6)\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -7. Let z(r) be the first derivative of -1 + 0*r + 4\/3*r**3 - 1\/3*r**6 + 0*r**u + r**2 - 4\/5*r**5. Factor z(f).\nAnswer: -2*f*(f - 1)*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i - 7. Let u = 2384 - 2388. Give s(u).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4178623801?\nAnswer: 11, 34534081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12131, 12419, 12901, 13577?\n\"Answer: 97*t**2 - 3*t + 12037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/8 and 28\/3399?\nAnswer: 27192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 12.98, 4, 36.\nAnswer: 1\/6, 4, 12.98, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.4 and 7.\nAnswer: -9.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 3*r**2 - 2*r - 2. Let b be (10\/2)\/(2 + (-15)\/10). Suppose 0 = t + 2 + b. Let u be ((-9)\/t)\/(-3) + (-52)\/(-16). Calculate a(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 24589 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -1797*w - 10. Let p(f) = 917*f + 5. Determine -5*l(y) - 9*p(y).\nAnswer: 732*y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -874*l**2*s**4 + 2*l**2*s**2 - l*s**4*w - 13*l*s*w + 2*l*s - 5*s**2*w wrt s.\nAnswer: -20976*l**2*s - 24*l*s*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 359.068 rounded to the nearest 10?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = s + 4*t, -16*s + 3*t + 34 = -12*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*f**2 - 10*f**2 - 3*f**2.\nAnswer: -47*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*(sqrt(8) + sqrt(24)\/sqrt(3)))\/(sqrt(48)\/(sqrt(60)\/sqrt(5)*-1)).\nAnswer: 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 10*a - 6. What is t(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 12*l**2 + 10*l + 14. Determine s(13).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/34514 or -1?\nAnswer: -1\/34514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*v**3 + 8*v - v**2 - 49*v**3 + 22*v**3 as c*v + t + k*v**2 + d*v**3 and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 12*x**2 + 2175*x - 1645. What is k(-182)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5494 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: b\"What is the cth term of -38226, -305877, -1032370, -2447127, -4779570, -8259121?\n\"Answer: -38237*c**3 + c**2 + 5*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 122709869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/12 + 2 + 3\/6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 300 - 175. Suppose 5*m + 2*q + 3*q + t = 0, q - 29 = m. Let h be (-63)\/m + (-1)\/3. Solve -5*g + h*g + 6 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 348 = -o + 3*o. Suppose -i + 49 = -o. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 11 = 2*a. Let h be (-3)\/6 - (-14)\/(-4). Let u = h + a. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2633\/12450 - 17\/83. Let l(b) be the third derivative of 0 - 3*b**2 - 1\/300*b**6 + 0*b + 1\/60*b**4 + x*b**5 - 1\/15*b**3. Solve l(f) = 0 for f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s**3 - 4*s**2 + 9*s - 3. Let t(k) be the first derivative of k**4\/4 + k**2\/2 - k - 4. Let b(w) = m(w) - 4*t(w). What is b(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 325, 1273, 2871, 5119, 8017, 11565?\n\"Answer: 325*m**2 - 27*m + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13079366 or -13079375?\nAnswer: -13079366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.3 + -11.1. Let j = -0.01 - 2.99. What is the biggest value in m, j, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -186 (b) -44 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1\/11))\/y**(-2\/5))\/(((y*y**(1\/9))\/y*y)\/(y*(y*(y\/(y*y**7)*y)\/y)\/y*y))*(y**(-1\/3))**(-35)\/((y**0\/y)\/(y*y**(2\/13))) assuming y is positive.\nAnswer: y**(58034\/6435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -30890080.166 to the nearest 100.\nAnswer: -30890100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28448199.\nAnswer: 3, 13, 81049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.431 to 2 decimal places.\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 12 + 0 = 0. Let p be ((-30)\/12)\/((-1)\/18). Suppose -b = y*b - p. Calculate the highest common divisor of 18 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12887 (base 12) in base 11?\nAnswer: -18134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iabb when four letters picked without replacement from sbbbbaisiibbc.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4*h - 4. Let w = 0.2 + 0.8. Sort w, -19, h in decreasing order.\nAnswer: h, w, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rhyrlqrlr. Give prob of picking 1 r, 1 y, 1 l, and 1 q.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56628238 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.6, -270 in ascending order.\nAnswer: -270, -0.6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 413325876?\nAnswer: 2, 3, 34443823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91203.8 centimeters to kilometers.\nAnswer: 0.912038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**3 + 13*h**2 + 10*h - 1. Let w(z) = -z**3 + z + 1. Let r(g) = d(g) + 4*w(g). Let p be r(14). Suppose -p*f + 4765 = 718. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54 + 75. Suppose -5*q = -i - 59. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttt. What is prob of picking 4 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b + 68 = 13*b. Calculate the greatest common divisor of b and 204.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((-2)\/8) - -1. Suppose -22*u + 421 = 1411. Let f be (5 + u\/6)\/2. What is the third smallest value in s, f, 1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5001 - -223?\nAnswer: 5224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from myyyymymymyyyy?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -5*n**2 - 11*n - 18. Let y(q) = q**2 + 2. Let o(r) = -c(r) - 4*y(r). Factor o(w).\nAnswer: (w + 1)*(w + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 4*u**2 + u + 19. Determine i(6).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**3 - 2*v**2 - 2*v + 1. Is s(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1658 (base 10) to base 16\nAnswer: -67a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -i**4\/12 - 4*i**3\/3 - 7*i**2\/2 + 2*i. Let n be q(-6). Suppose -3*m = -n*m. Solve -5*v - 4*x = 7, -4*x + 4 + 4 = m for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(637) + -1)*-5*-2.\nAnswer: -280*sqrt(13) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c + 5*v = 22, -3971*c + 3968*c + v - 6 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 56010348 divided by -9335058?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -16*d**2 + 7*d - 14. Suppose 8*s = -18*s - 156. Let p be q(s). What is p rounded to the nearest ten?\nAnswer: -630","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -155*l - 1130. Let h(d) = -d**2 + 156*d + 1131. Let z(c) = 5*h(c) + 6*n(c). Factor z(b).\nAnswer: -5*(b + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3017*i - 1596 = 1663*i + 1620*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g - 3. Let w be h(-5). Let f = w - -6. Let d be (-1 - -1)\/(2\/(-1)). Solve d = -2*o - f - 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3 (b) -5 (c) -0.76 (d) 2 (e) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1212 and 73629.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2310*g + 2317*g = 2905. Calculate the remainder when g is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -25.1 (b) 5 (c) 3 (d) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 8:28 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 10*t**3 - 17*t**2 - 31. What is the second derivative of k(v) wrt v?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a + 2. Let z be k(0). Let q(v) = -v**3 + 2*v**2 + 7. Let g be q(-3). Suppose 0 = -n + z*n - g. List the prime factors of n.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 304 = 11*c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**4 + 8*y**3 - 234*y**2 + 616*y - 392 = 0 for y.\nAnswer: -14, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**3 + 1660*o**2 - 28584*o = 0.\nAnswer: 0, 18, 397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**3 - 69*g**2 + 94*g + 10. Calculate h(33).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -4. Let g = -7.6 - 2.4. Let j = g - -10.2. What is the third biggest value in j, -3, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -3*g**5\/5 - 21*g**4\/4 - 4*g**3 + 18*g**2 - 112. Solve j(y) = 0.\nAnswer: -6, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -4*m + 4*o + 8, 14*o + 464 - 498 = -2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 694 + -352. Let q = x - 198. Suppose 0*v = 3*v - 3*h - q, 5*h - 260 = -5*v. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*b**2 - 3*b**2 - 10*b**2 + 7*b**2 + 22*b - 22*b - 3*b**2 - 2*b**2 + 2*b**2 + (2 - b**2 - 2)*(-1 + 2 - 3) to the form r*b + z + i*b**2 and give i.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 6*u + 5. Let m(l) = -7*l - 6. Determine 2*m(r) + 3*x(r).\nAnswer: 4*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 2:38 AM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -18*k**2 - 6*k + 10. Suppose 2*b + 14 - 22 = -2*r, 2*r = 3*b - 17. Let q(w) = 12*w**2 + 4*w - 7. Determine b*c(d) + 7*q(d).\nAnswer: -6*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, z: 1}. What is prob of sequence hhh?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -1159.\nAnswer: 5\/1159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/44)\/(13\/(-143)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (139*n + 159*n + 21*n + 3*n + n - 5*n + (2 + 0 + 0)*(-3*n - n + 2*n))*(-4 + 7 - 4).\nAnswer: -314*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-6 + 5 - 6)*(w + 14 - 14) - 98*w + 299 - 299)*(2 - 3 + 6) to the form x*w + f and give x.\nAnswer: -525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -623794283258 and 96.\nAnswer: -623794283162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55 and 210133.\nAnswer: 1050665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/(15\/3))\/(135\/(-18))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/12702 and 41\/2868.\nAnswer: 6071556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 a when two letters picked without replacement from {y: 7, a: 2, q: 2}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (11 + 0 - 9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-3*(-2)\/6). Let k be (n + 3)*(-1 - -5). Calculate the highest common divisor of k and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -b, -2*b - 3*b = 2*o. Suppose o = -9*q - 5*q + 56. Solve 0*j = -2*j + 2*w + 4, 4*j + q*w = 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 469190 rounded to the nearest ten thousand?\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + 0. Let l = w + -15. Sort -2, 0.5, l in increasing order.\nAnswer: -2, l, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jc when two letters picked without replacement from nncccjnynwc.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1471 - -795. Let r = -276 - k. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -149511?\nAnswer: 4\/149511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -21.7196 * -21.2\nAnswer: 460.45552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -5, -6\/11, 172.\nAnswer: -5, -6\/11, 0.2, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004830818 to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 1\/6 (c) -2\/3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -174 - -172. Let m = -361 + 360. Which is the nearest to 2\/7? (a) 1\/3 (b) -17 (c) h (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*(1\/10)\/((-130)\/(-1950))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -259132885073\/31973088 - 23\/999159. Let p = 8107 + d. What is the common denominator of p and 69\/4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-4 + 0) - -1 - (-195 + 194).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + y - 4*i - 192 = 0, 3*i - 164 = 4*y. Let q = -28 - y. Does 10 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + (2 + -1 - (-2 - -5)). Suppose -3*x + 5*u = -223, 0 = -2*u + q. Suppose 4*y = -0*y + x. What is the remainder when 35 is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64461 is divided by 102?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**3 - 12*r**2 + 6*r + 9. Determine u(-6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**2*i**4 - 49*a**2*i**3 - 464*a**2*i**2 - 2*a**2 - 116*a*i**3 + 39*a*i**2 - 2*i wrt i.\nAnswer: 24*a**2*i - 294*a**2 - 696*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 67007 in -1\/108, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (40*(-23)\/1840)\/((-12)\/1368)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t + 10. Let n(l) = -24*l - 17. Let z(w) = -13*w - 9. Let x(r) = 6*n(r) - 11*z(r). Let y(g) = 6*u(g) + 21*x(g). Determine y(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72352.\nAnswer: 2, 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**3\/4 + a**2\/4 = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**2 - 16 - 4*m**2 + 7*m**2 - 8*m = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.273802 millennia in years?\nAnswer: 273.802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0944 and -0.3509599.\nAnswer: -0.4453599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10002 (base 3) to base 13\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6634, -7800, -8966, -10132?\n\"Answer: -1166*z - 5468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*o - 22 = 0, 1 = 4*c - 3*o - 0. Solve -2*x = 2 + c for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1207.9*684.\nAnswer: 826203.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/(-3) + -1 + ((-552)\/68 - -4). Which is the fifth smallest value? (a) 5 (b) -1\/3 (c) k (d) 2\/7 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57515 divided by 5.\nAnswer: 11503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0 (b) 0.3 (c) 21\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 14*o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**5\/30 - 2*u**2. Let v(b) = 3*b. Let l(z) = 5*z. Let k(m) = -4*l(m) + 7*v(m). What is x(k(f))?\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -45?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7350, -14683, -22016, -29349?\n\"Answer: -7333*c - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4}. Give prob of picking 3 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/130 and 21\/40.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48436 - 22340. What are the prime factors of i?\nAnswer: 2, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 3 (b) 4 (c) 427 (d) 5 (e) -0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3581, 2783, 1479, -331?\n\"Answer: -253*s**2 - 39*s + 3873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 62*d**3 + 1200*d**2 + 459*d + 773. Give j(-19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 8, i: 4, x: 1}. Give prob of picking 1 c and 1 i.\nAnswer: 16\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/3))**(-14\/3)*((u*u**2)\/u)**(2\/7))\/((u**(-2\/7)*u)**(-29)*((u*u**(-9))\/u*u*u)\/(u\/(u\/u**9))) assuming u is positive.\nAnswer: u**(2447\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 14*w**3 + 2*w**2 - 2*w + 1. Let c = 6 + -5. Let v be m(c). Suppose -12 = 4*h, -4*k + 2*k + v = -5*h. Solve p - 1 + 0 = k for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 667309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 950.851 and 589.\nAnswer: 560051.239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 95*m - 1 - 97*m + 1. Let j(c) = 2*c. Let x = 5 + 70. Let a be 10\/x - (-84)\/45. Determine a*d(g) + 3*j(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -3679115?\nAnswer: 3679120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 15 + 15 = 0. Let o(u) be the third derivative of 0*u**5 - 1\/2*u**3 + 0*u + 0*u**4 - 1\/60*u**n - u**2 + 0. What is the derivative of o(b) wrt b?\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 17*r - 1. Let m be b(16). Solve -4*u + m = u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 559, 323, -3 in increasing order.\nAnswer: -3, -1, 323, 559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -52, -125, -256, -463?\nAnswer: -764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/4 (b) 0.2 (c) -0.3 (d) 2 (e) -142 (f) 15.9 (g) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 10*w + 2. Let s(t) = -9*t - 1. Let m(i) = 3*c(i) + 4*s(i). Let j be m(-12). Suppose -10*a = -8*a - j. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 768, 1524, 2262, 2982, 3684, 4368?\nAnswer: 5034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2 + y - y**2 + 3*y**2 - 1 + 2*y**2. Let g be o(-1). Suppose 4 = -g*v, -3*v + 6404 = 4*w + 235. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**2 + 148*l + 162. Calculate r(-49).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3728653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 79201 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 7*b. Let k = 19 - 13. Let q = k - 4. Let x(a) = 29*a**q + 26*a**2 - 57*a**2. Determine h(x(g)).\nAnswer: -14*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w. Let k(y) = 76*y**2 - 83*y - 14. Let l(i) = 23*i**2 - 28*i - 4. Let a(q) = -2*k(q) + 7*l(q). What is a(u(v))?\nAnswer: 144*v**2 - 120*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 12:51 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 12 = 0, -5*f + 2*a - 4*a = -71. Suppose z - 1 - f = 0. Calculate the greatest common divisor of 14 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72 + -48. Let n = r - 13. Suppose 2*i - 35 = i - 3*s, 0 = 5*i + 4*s - 120. Calculate the remainder when i is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-52))\/(92\/((-74152)\/(-93)))?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5116800, 10233597, 15350394, 20467191?\n\"Answer: 5116797*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21921403?\nAnswer: 7, 3131629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2*s)*(246*s - 5 - 178*s - 230*s) in the form x*s**2 + p + u*s and give x.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 128\/72 + 2\/9. Let t(f) = -2*f**2 + 2*f + 2. Let v be t(u). Let k(d) = d**3 + 2*d**2 - 2*d - 3. Give k(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22578083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -241 (base 5) to base 8.\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-22 + 11 - (-1 + (0 - -1)))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13433 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h + 5*h + 3*h + 6*h - 4*h - 15 = 5*d, -4*h + 24 = -8*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 291858131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**2 + 13*o**2 - 8*o**2 + 0*o**2.\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z - 1. Let i(n) = -n**3 - 4*n**2 + n - 7. Let y be i(-5). List the prime factors of v(y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*z**6 - 31*z**5 - 3554*z**2?\nAnswer: -1680*z**3 - 1860*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 812051, 811990, 811929?\nAnswer: 811868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 132 and 198.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 181 - 169. Calculate the remainder when 45 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2913 is divided by 266.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -260550.\nAnswer: -1\/260550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - g + 1. Let f(z) = -2*z**4 + 5*z**3 + 9*z**2 - 5*z + 5. Let l(a) = -f(a) + 5*i(a). Find the third derivative of l(h) wrt h.\nAnswer: 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z**2 - 24*z + 27. Let p be j(-9). Suppose -2*t + 18*v - 21*v + 1082 = p, 0 = 5*t - 2*v - 2705. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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: Expand (0*u + 0*u + 3*u**2)*(30*u**2 - 2*u - 34*u**2 - 2*u).\nAnswer: -12*u**4 - 12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49353.\nAnswer: 3, 16451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/2)\/(32\/(-32)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 83830.92 decades in months?\nAnswer: 10059710.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 3:54 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269 is divided by (1232\/(-56))\/((-1)\/12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 d when two letters picked without replacement from gdpdppdmgnp.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/25)\/((-1)\/(-10)). Which is smaller: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -2 (c) 0.11 (d) -3\/11 (e) 2\/11 (f) 79 (g) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10064602768819 and 6.7?\nAnswer: 10064602768812.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -153?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -196*w + 1811*w + 1964 + 433 - 31 wrt w.\nAnswer: 1615","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/49, -5\/6, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1411212 (base 6) to base 4.\nAnswer: -103113320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = n + 5 + 3, -5*n = -20. Suppose 0 = i - 0*i - l. List the prime factors of 2 + 1 + (i - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -617*z. Let w(x) = -8*x + 2. Give w(a(b)).\nAnswer: 4936*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of 25\/3*q**3 + 15\/2*q**4 + 6 + 0*q**2 - 7\/2*q**6 - 6*q + 15\/28*q**7 - 23\/8*q**5. Let h(p) = 0. What is p?\nAnswer: -2\/3, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1260911?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q**2 + 7*q - 1. Let f be v(4). Suppose -5*i = 3*d - 359, 5*d - f = -i - 6. Calculate the highest common divisor of i and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 76 - 14 = -5*y, -5*y + 323 = 4*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 12*d - 33. Let u be t(-15). Suppose 17*h = u*h + 330. What are the prime factors of h?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -0.17, -445.87?\nAnswer: -445.87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -203544 + -5?\nAnswer: -203553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and -423400.5155?\nAnswer: 423400.8155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -334938*x**3 + 5733*x**2 - 17?\nAnswer: -2009628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -2*j**3\/3 - 46*j**2\/5 - 18*j\/5 - 8108. Find i, given that w(i) = 0.\nAnswer: -9, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, -1\/32, 0.0984, 0.5?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -28833989.\nAnswer: -1\/28833989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/374180 and -25\/16907.\nAnswer: 119363420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-51)\/(-2))\/(-5 + 63\/12)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7792, -3\/2, 49\/9, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -3*w - 6. Suppose -w*i + 3 - 5 = 0. Let o be 1\/(i + 0) - -1. Which is the nearest to o? (a) -0.5 (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: 2.1 times 32\nAnswer: 67.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/9*206 - (-5)\/15. Calculate the remainder when (-2)\/4*(w + -383) is divided by 79.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(7*d - 3*d - 3*d) + 55*d - 199*d - 142*d - d + 0*d - 2*d.\nAnswer: -288*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 9*r + 244. Let u be t(-27). Put u, -1, 2, 4, 3 in descending order.\nAnswer: 4, 3, 2, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/5)\/(((h\/h**(8\/7)*h)\/h)\/h*h))\/(h*(((h\/(h\/(h*((h\/(h*h**(-11)))\/h)\/h)))\/h*h*h)\/h)\/h*h*h*h**(-3)\/h*h) assuming h is positive.\nAnswer: h**(-296\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -1103*n**2 - 3*n + 6. Let k(s) = 1102*s**2 + 3*s - 5. Let h(r) = -3*g(r) - 4*k(r). Let u be h(1). What is u rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, p: 8, i: 4, m: 4, j: 1}. Give prob of sequence mm.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 95 + -191. Let d = g - -101.3. What is d rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m + m - 9*m**2 - 1 + 4*m + m**3. Let n be q(8). Let p(a) = 2*a**2 - a. Let z be p(n). Solve d = -4*b - 23, -z*d = -0*d + 5*b + 34 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 600685 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -239, -481, -725, -971, -1219, -1469, -1721?\nAnswer: -1975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**3 - i**2 - 4*i + 3. Let u be p(2). Suppose -w - 2 = -3*z, 2*w - 2 = 5*z + 3*w. Suppose z = -h + 2 + u. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lzqlqlvqqlllqqlql. Give prob of picking 4 l.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9606 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 p = 0.1118 - 0.2118. Let o = -0.18 + 0.2. Put p, 3, o in ascending order.\nAnswer: p, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 2*d**2 + 2*d + 2. Let o be (-1)\/(-3) - (-16)\/6. What is the remainder when q(o) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5182475*i*y**4 - 117*i*y - i + 8241*y wrt y?\nAnswer: -62189700*i*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 433*t - 430*t - g + 16, -2*t + 12 = 5*g for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 11. What is the tens digit of 6377\/35 + c\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rrrrrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w - 236 + 256, 2*w - 17 = h for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = 5*t - 1114. Find the common denominator of -2 + (-4)\/(t\/(-394)) and -21\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6503.\nAnswer: 7, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 3*q + 9*q = -2*q. Solve 27*m + 21 + 6 = q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 1372*g - 4326. What are the prime factors of p(12)?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 43470700 and 43470703 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 552, 4201, 14126, 33471, 65380, 112997, 179466?\nAnswer: 267931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 310*j**2 - 67*j**3 - 318*j**2 - j - 16*j**3 wrt j.\nAnswer: -498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 1. Let v(g) = 36*g**2 + 30. Let a be 3\/(-4)*-2 + (-17)\/34. Calculate a*v(h) - 30*l(h).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 663 or -33?\nAnswer: 663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92127, 184202, 276277, 368352?\nAnswer: 460427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11720, -11673, -11626, -11579, -11532, -11485?\nAnswer: -11438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) -0.4 (b) -0.3 (c) 3\/115\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1701306302 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in grams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 347 + -202. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2667077*u**2 + 5904706*u?\nAnswer: -5334154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1569, 1579, 1587, 1593, 1597, 1599, 1599?\nAnswer: 1597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 + 0.2. Suppose 4*f + 15 = 9*f. Let x = 3 - 1. Which is the biggest value? (a) w (b) x (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -11, -19, -29, -41?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -1\/48*j**8 + 0*j**3 + 0*j**6 + 0 + j**2 + 0*j + 0*j**7 + 0*j**5 + 1\/6*j**4. Find the second derivative of m(p) wrt p.\nAnswer: -140*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -5)*(-24)\/(-50)*(-3)\/(-9).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.4, 0, -10\/13, 2, 25 in descending order.\nAnswer: 25, 2, 0.4, 0.1, 0, -10\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7.2 or 0.3?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 9 = -3*v, -55*v - 4*i - 17 = -54*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 223560 and 208008?\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**3 - a**2 + a - 4. Let k be h(2). What is the tens digit of (42\/(-4))\/(11\/k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -160?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12013663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p - 2. Let q(f) be the second derivative of 0*f**2 + 1\/6*f**3 - 37*f + 0. Suppose -3*a = 14 - 5. Determine a*q(i) - n(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {g: 2, o: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1760 - 1759. Which is greater: f or 4\/651?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 59 = 2*y - 77, 3*c + 4*y - 92 = 0. Is 18 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3375554854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 + -22a2?\nAnswer: -228c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 38\/11030985?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.5 + -2.5. Let d = 7832\/21 + -1118\/3. Let g be (-8)\/(-18)*(-4)\/(-8). Put n, -2\/5, g, d in descending order.\nAnswer: n, d, g, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 98 = -0*c. Suppose 5*w - 24 = -c. Factor 2\/3*g**3 + 0 - 2\/9*g**w + 2\/9*g**5 + 0*g - 2\/3*g**4.\nAnswer: 2*g**2*(g - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 777\/68, 2.77, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1332223110 (base 4) to base 6.\nAnswer: 15042100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of 2 + 1\/2*q**2 + 1\/6*q**3 + 0*q. Factor o(z).\nAnswer: z*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -83.68 - -0.68. Let y = 56.13 + -139.1. Let t = y - b. What is the fourth biggest value in -2\/7, t, 2, -0.1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9803 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*k = 2*k - 576 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -6*v + 27. Let w(o) = 2*o - 9. Let h(c) = 2*n(c) + 7*w(c). Let y(m) = -m - 5. Let b be y(-7). Let i(f) = -10 - 3 + 9 + f. Give b*h(d) - 5*i(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8783 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kddedrrndddedrlddl. Give prob of picking 2 r.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -26894*y**3 + 15*y**2 + 5*y + 4. Let b be o(-14). Suppose -b = 3*j - 5*r, 5*j - r = 2*r - 123000006. Round j to the nearest 1000000.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b - 2. Let a(v) = v + 1. Let f = 47 + -46. Let g(u) = f*w(u) + 2*a(u). Let m(q) = 13*q**2. Calculate g(m(p)).\nAnswer: 13*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (180\/32)\/9*8. Let k(x) = 3*x - 9. Let p be k(3). Solve 0 = -p*j + i*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 73 = 19. Suppose 0 = 3*f + 55 - 121. Is f less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 11*f**2 + 15*f - 34. Calculate l(10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*x**2 - 46*x**2 - 17*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + (-1*sqrt(405))**2 + sqrt(405) + -2 - (2*(1 + sqrt(80)) - sqrt(80)).\nAnswer: 6*sqrt(5) + 401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0237372858 rounded to 5 dps?\nAnswer: 0.02374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three tenths of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(2\/43)*q\/q**(-3\/7)*((q\/q**(2\/45)*q)\/q)\/q*q**(3\/10) assuming q is positive.\nAnswer: q**(71453\/27090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 7*s - 4*v, 372 = 2*s - v + 363 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/16)\/(1\/2)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*g**3 - 36*g**3 + 58*g**3.\nAnswer: 64*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -5 (b) 0.5 (c) 2\/157 (d) -0.017 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -4. Suppose 2*y = -b + 7. Suppose 7*h - 28 = y*h. Calculate the remainder when 13 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-6)\/g))**(-16\/5)*g*g**(-6\/25)\/g*g\/g**13 assuming g is positive.\nAnswer: g**(-946\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2754*c + 6180*c - 3428*c + 3.\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 183, 2, -2, 27 in increasing order.\nAnswer: -2, 2, 27, 183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/120)\/(((-22)\/8)\/(-11)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9039287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5745.\nAnswer: 3, 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4790?\nAnswer: 2, 5, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (3 - ((-35)\/(-25) - 0)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1755683, -1755635, -1755557, -1755449, -1755311, -1755143, -1754945?\nAnswer: -1754717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/8*0*(-6)\/36?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.1 + -0.6. Which is the biggest value? (a) r (b) 1 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*g**2 + 27*g**2 + 7*g**3 + 21*g**2.\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -128.598792 rounded to 0 decimal places?\nAnswer: -129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 3, -3, -888, 4.\nAnswer: -888, -3, 3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22530796843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 3*p**2 - 5*p - 8. Let f be w(-3). Suppose -18 = -5*m + f. Let n be 2 - (-3 - 0) - 2. Solve -m*y = -n*y + 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*3*28\/9. Let y be (6\/(-4))\/((-45)\/390). Let r = a - y. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - 2*t + 2*t - 2*t)*(10*t**3 - 22*t**3 - 18*t**3).\nAnswer: -30*t**5 + 60*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 3146820 to the nearest 100000.\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -213032 (b) -206 (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110100111111110100100 (base 2) to base 5.\nAnswer: -3004242131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 + 8*m**2 - 3*m**2)*(0*m + 2*m - 3*m) - 3*m**3 - 2*m**3 + m**3.\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*u = -2*u + 28, -3*u - 7 = w. Let v(s) = 43*s**3 + 5*s**2 + 4. Let o be v(w). What is o rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a = 4*c - 17*a + 113, -82 = 3*c - a. Let g(h) = 9*h**2 - 4*h + 4. Let n(b) = -63*b**2 + 27*b - 27. What is c*g(r) - 4*n(r)?\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/3)\/(f**(-3\/2)*f))**(2\/67) assuming f is positive.\nAnswer: f**(1\/201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -23.25, -0.0095, 0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, k: 2, z: 4, l: 6}. What is prob of sequence kzl?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9468493*k = 9468475*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 20, 3*q - 2*j + 6 = 52. Let o be (-6)\/27 + 40\/q. Suppose -o*f - 6 = -14. Solve f*x + 21 = -5*y, -4 = 4*y - 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -6. Suppose -3*y - n*g + 18 - 5 = 0, 16 = 4*y + 3*g. Let x(d) = d - 7. What is the remainder when y is divided by x(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 3*l**2 - l. Suppose -4*x = -3*y - 17, 7*y = 5*y - 3*x. Let f = 0 + y. Give k(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 0.09 (c) 128 (d) 5\/27 (e) 0 (f) 0.2 (g) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of h**2\/2 - 7*h + 1. Let r(u) = u**3 - u**2 - 2*u + 4. Let s be r(2). Determine d(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.11 (b) -6 (c) -7 (d) 0.05 (e) 4\/49 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -18. Let d(i) = -12*i**2 + 6*i**2 + 4*i**o. Let v(m) = 6*m. Let c(w) = 3*w. Let g(t) = -5*c(t) + 3*v(t). What is g(d(k))?\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5316 and 12404.\nAnswer: 37212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -1751*v - 7292. What is the hundreds digit of x(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.98 - 2.48. Put 0, d, -5, -0.4 in descending order.\nAnswer: 0, -0.4, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -9 + 4 - (-7 - 23)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 6*j - 10 - 3*j**2 + j**3 - 8 - 3*j + 12. Let k be w(3). Solve 2*z = 3*b + 4, 0 = -2*b - k*b for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 11 + 9. Let q(a) = -2*a + 5. Let t be q(k). Suppose -9*v - 5 = -5. Sort t, 4, v in descending order.\nAnswer: 4, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((5*(-1 + sqrt(242)) - (sqrt(242) + 1 + sqrt(242) + -1 + sqrt(242)))*-6 + 6*(-1 + sqrt(242)) + 1 + -5))**2.\nAnswer: -66000*sqrt(2) + 227800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -11\/3*p**3 - 2*p**2 - 10 - 14*p - 1\/4*p**4. What is the least common multiple of c(-11) and 8?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 477967 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 2:42 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2738 + 2712 - 5450 + q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*r + 5*r. Let j = -4 + r. Suppose -4*x = -16, 0 = -j*u + 4*x - 5*x + 16. What is the remainder when u is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -484, -970, -1456?\nAnswer: -1942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3311096167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 65320164 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 67698, 133837, 198426, 261471, 322978, 382953?\n\"Answer: s**3 - 781*s**2 + 68475*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200430 (base 8) to base 14.\nAnswer: -19db2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 4 (c) 0.17 (d) -3 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5*c**3 - 38*c**2 - 40*c + 203. Let y be n(8). Solve y*m = -24 - 64 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6\/11 + -4\/33. Let q(v) = -v**3 - 5*v**2 + 7*v + 6. Let o be q(-6). What is the closest to w in 3, -1\/2, o?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**5\/7 + 754*b**4\/7 + 546*b**3 - 730*b**2\/7 - 13012*b\/7 + 9168\/7 = 0 for b.\nAnswer: -4, -3, 1, 382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s - 4. Let v be z(6). Suppose 4*q - v*o + 25 = 3*o, 5*o - 25 = -4*q. Suppose q*p = p - 18. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 205 and 77490?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/30577 less than or equal to 7169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**2 + 4*a**2 + 7*a**3 + 19*a**2 - 2*a**3 to v*a + f*a**3 + s*a**2 + q and give s.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*w - 9 = 0, 3*y + y - 74 = -3*w. Is y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(1 - 16) - 7\/(-84)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 36\/324 - (-19)\/(-9). Let o = s + 373. Calculate the remainder when o is divided by 62.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 4, -31, 0.3, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-518)\/(-333)*12\/14.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*(u\/(u\/(u*u**(-4))))\/u)\/(u\/(u*u**(-3\/5))*u))\/(u**(-3\/5)*u**8))**(28\/5))**(1\/9) assuming u is positive.\nAnswer: u**(-112\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(38)\/sqrt(2) + sqrt(19) + (sqrt(228) + (sqrt(228) - -2*sqrt(228)) + sqrt(228))\/sqrt(12))**2*-2 - (-5 + sqrt(95)\/sqrt(5)*-1 + -2).\nAnswer: -1887 - 111*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, p: 4, u: 3}. What is prob of sequence pu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 - 2*g**2 + 2*g**2)*(-20 + 14 - 10) + (2*g - g + 0*g)*(-4*g**2 + g**2 + g**2).\nAnswer: -34*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - o - 4 = 3*n, -2*n - 3*o + 10 = 0. What is the second derivative of 3*r**n - 3*r - 5*r**2 - 2*r**2 + 0*r**2 wrt r?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*h - 3*h + 11*h**3 - 3*h + h**3 + 3 - 3 + (-3*h**2 + 3*h**2 - 2*h**2)*(-2 + 2*h + 2) - h**3 - 2*h**3 + 4*h**3 as s*h + j + n*h**2 + m*h**3 and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven quarters of a centimeter?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2) + (-33)\/(-528)*56\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 14.2+-1209\nAnswer: -1194.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.020055 rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 5:31 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 3*n**3\/2 - 39*n**2\/2 - 45*n = 0?\nAnswer: -2, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2757 and 34696845?\nAnswer: 34696845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 - 5450*r - 231855.\nAnswer: 5*(r - 1131)*(r + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 552\/23 + (-3 - -1). Let r(y) = 6*y**2 - 27*y + 11. Is r(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323*s + 9*a = 322*s - 76, 3*s = -2*a - 28 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 8*a**3 + 2*a**2 + 18*a + 43. Calculate n(-3).\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98293.\nAnswer: 13, 7561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 8*f**2 - 6*f - 10. Determine g(9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003735 to 4 decimal places.\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 greater than or equal to -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12527815279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i - 3*i + 6*i + i + 1 - 1 + (3 - 3 + 2*i)*(-2 + 0 + 3) - i + 3*i - i - 2 + 2 + i.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -35719.4 and 2751.\nAnswer: -98264069.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -83 - -45. Let c = m - -42. Calculate the remainder when 6 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1135926 - -521?\nAnswer: 1136447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -5*i**2 - 9130*i - 45525 = 0.\nAnswer: -1821, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -10577*g. Let h(b) be the third derivative of b**4\/12 - 1371*b**2 - b. Determine h(i(d)).\nAnswer: -21154*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.1228 + -8.2228. Let y = 11 - 2. Which is the nearest to y? (a) 1\/9 (b) w (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 14 - (17\/(-68) + (-19)\/4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 6 = -6. Let o be 2\/(0 - -2)*2. Let j = -5702 - -5707. Sort b, o, j in decreasing order.\nAnswer: j, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -5.1.\nAnswer: -15.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5301354577?\nAnswer: 5301354577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 54\/12 - 3\/2. Solve -w*t + 5 = -8*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3 = 0, 4*v = -4*z - 8 - 4. Solve -6*b + 2*b - 20 = v for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*t + 5, 0 = -t + 2*t + 5*n - 25. Let j = -24\/805 - 2\/35. Is j < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*c + 2*m + 44, -18*c = -16*c + 3*m + 17 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -4*u - 1, -2 = -1584*o + 1586*o - u for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - ((-7 - -4) + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.6, 2, 0.5, -48, -1\/3, -0.4?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.7135 + 0.1465. Let o = -0.14 - p. Let a = -0.07 + 1.07. Which is smaller: o or a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2622, 26, 4, 2, 5 in decreasing order.\nAnswer: 26, 5, 4, 2, -2622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 91201 + -40194. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 + 3*c + 1. Let w be z(-3). Suppose 7*p - 2*p = w. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + 0. Let b = d - 3. What is the least common multiple of b and (-5 - (-2 - 8\/4)) + 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 3036?\nAnswer: 6072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/208 + (-13860)\/(-273).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*i - 206*i - 5*u = -85, -11*i + 4*u - 57 = -6*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -114571 and -0.003.\nAnswer: -114571.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-10 + 6 - 22)*(q + 2*q - 2*q) + (2*q - 3*q + 4*q)*(-1 - 2 + 0))*(-40*q + 40*q - 4*q**2) to the form j + m*q**2 + p*q + g*q**3 and give g.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 308.02 + -312. Let w = 2.5 - 2.52. Let l = y + w. Which is the biggest value? (a) l (b) 0 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*q**5)\/q*((q\/(q\/(q**(-9)\/q)*q*q*q))\/q)\/q)\/(q\/((q\/(q\/(q**(-5)*q)))\/q*q)*(q*q**(-3\/4))\/q) assuming q is positive.\nAnswer: q**(-53\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*n**2*q**5 - 9*n**2*q**3 + 136*n**2 + 3*q**2 wrt q?\nAnswer: 1320*n**2*q**2 - 54*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -179, 3, 61, 0, -7, -44 in decreasing order.\nAnswer: 61, 3, 0, -7, -44, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 34*d + 92. Let t be b(32). Let y = 7.82 - -0.18. Let c = y - 9. Put t, c, 1 in ascending order.\nAnswer: c, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxxjgghgghhxg. Give prob of sequence xj.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -5*f**4 - 34*f**3 + 44*f**2 + 34*f - 39. Let t(b) = -4*b**4 - 36*b**3 + 44*b**2 + 36*b - 40. Let n(c) = -4*s(c) + 6*t(c). Factor n(m).\nAnswer: -4*(m - 1)**2*(m + 1)*(m + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1 + 109572.\nAnswer: 109573.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1 + 3 + (sqrt(72) + ((sqrt(72) - sqrt(72)*1) + sqrt(72))**2)*-6*1)*4*6.\nAnswer: -10319 - 864*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -740488 in -0.3, -5, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-28) - 68\/(-56)*2. Suppose -p*z + 25 = -27*z. Which is bigger: z or 1\/27?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1057 by -6424.\nAnswer: -1057\/6424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5188545 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-116)\/29)\/(3 - (-4)\/(-2)). Let q = -139\/12 - -33\/4. Which is the closest to -1\/3? (a) 3\/4 (b) o (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**2 + 19*y - 5. Let i be 80\/(-70)*21\/4. Calculate g(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(95))\/sqrt(5) + (sqrt(19) + sqrt(76))**2*-6.\nAnswer: -1026 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 g when four letters picked without replacement from {b: 3, g: 13}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 0*w**2 + 1\/8*w**4 - 31*w + 0 + 1\/60*w**5 + 3*w**3 - 1\/360*w**6. Let o(u) be the second derivative of x(u). Factor o(q).\nAnswer: -(q - 3)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -4d40bc0?\nAnswer: 4d40bc2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15.85 + -1.35. Let y = -17.199999172 - n. What is y rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (16\/(-24))\/(3\/(57591\/(-6))).\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 277, -38.\nAnswer: -38, -3, -2, 277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2496912 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -537 (base 8) to base 16\nAnswer: -15f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 830 = -3*d, 0 = -5*d - 4*q + 1594 - 202. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - 3*sqrt(11))*-5 + -4*3*sqrt(11) - ((sqrt(396)*-2 - sqrt(396) - sqrt(396) - sqrt(396)) + -5))**2.\nAnswer: 280*sqrt(11) + 8649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(75) + 0 + sqrt(75) - sqrt(3)) + 0)**2*-4.\nAnswer: -3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 20*b**2 - 6*b - 6. Let l(o) = 99*o**2 - 25*o - 25. Let k(d) = 9*g(d) - 2*l(d). Let j(q) = 36*q**2 + 9*q + 9. Calculate -4*j(c) - 9*k(c).\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1768 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4021040234 (base 5) in base 9?\nAnswer: -16023022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l**2 + 37*l + 113. Give m(-5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b - 4*z - 12, -8*b - 7*z - 15 = -2*z for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l**3 - l**2 + l**2)*(-1 + 2 - 2*l - l) + (-4 + 2*l + 4)*(-l**3 - l**3 + 3*l**3) to f*l + t*l**3 + r*l**2 + u*l**4 + j and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a microsecond in nanoseconds?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, 3, -2\/9 in descending order.\nAnswer: 3, 2\/19, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 92595, 185189, 277783, 370377?\n\"Answer: 92594*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(2299) + -1 - sqrt(19)) + (sqrt(209)*-1)\/sqrt(11)) + (2 + sqrt(931) + 2)*6)**2*3.\nAnswer: 7038*sqrt(19) + 149844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, n: 3}. What is prob of picking 1 f and 2 n?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, h: 3, j: 4, u: 1, v: 4, a: 1}. Give prob of picking 1 v and 3 j.\nAnswer: 4\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 177*a**4 + 251*a.\nAnswer: 2124*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (7 - (-8 + 15)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2633649 + 0?\nAnswer: 2633649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -91, -1, -678 in increasing order.\nAnswer: -678, -91, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -26978, -26969, -26948, -26909, -26846, -26753, -26624?\n\"Answer: l**3 + 2*l - 26981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**14)**(-36\/5))**(-13) assuming z is positive.\nAnswer: z**(6552\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 - -33. Is -1\/59 >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2551 - -202?\nAnswer: -2345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 3*d. Let m = -0.29 - 2.71. What is the nearest to d in 2, m, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -181535, -363067, -544599, -726131, -907663?\n\"Answer: -181532*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1070.\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 819007.2 years?\nAnswer: 81900.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 14*y - 12. Let l be h(11). Let k = -19 + l. Suppose -12 = k*v - 5*v. What is the remainder when 5 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20879*u = -20869*u - 50 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227*y + 224*y - 470*y.\nAnswer: -19*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -27*o + 2. Let r = 0 - -9. Let z = r + -16. Is t(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 955 a factor of 12222090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368056 is divided by 6138.\nAnswer: 5914","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4413*l - 136 - 2210*l - 2206*l + 27. Calculate y(-27).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11841*q + 11841*q + 226*q**2 as w*q + h + x*q**2 and give x.\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 110011101111111000101111?\nAnswer: 110011101111111000110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*((r\/(r\/r**9)*r)\/r)\/r)\/r)\/r**(2\/3) assuming r is positive.\nAnswer: r**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 42*(-20)\/(400\/(-30)). What is the greatest common divisor of 153 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (4 - 0 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -755 - -751. Let i be (2 + -2)\/((-2)\/(-1)). Sort 1, i, m in decreasing order.\nAnswer: 1, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 13032208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1010.5 - 1010. Put -3, g, -167 in descending order.\nAnswer: g, -3, -167","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = m + 4*r, -m + r - 50 + 63 = 0 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -18255, -24938, -36073, -51660, -71699, -96190?\n\"Answer: -2226*j**2 - 5*j - 16024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/24)\/(89250\/(-1575))?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 6 - 3)*(-35*a + 70*a - 36*a)*(2 + 1 - 2)*(3 - 1 - 3).\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 560 and 2520.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -18818585, -18818583, -18818581, -18818579, -18818577, -18818575?\n\"Answer: 2*z - 18818587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 10*92*(-2)\/(-60)*6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2 + 2*v**3 - 3*v**3 - v - 12 - 5*v**2 + 13*v**2. What is the tens digit of b(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -575*g**4 + 12*g**3 = 0 for g.\nAnswer: 0, 12\/575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10039016 and -15.\nAnswer: -150585240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43431494, -43431495, -43431488, -43431467, -43431426?\nAnswer: -43431359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 95 in -0.1, 0, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -91 - -90.92. What is the third smallest value in -2, 3, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 368524175.\nAnswer: 5, 14740967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*d**5\/3 + 28953320*d**4\/3 - 531718447*d**3\/3 + 2535879658*d**2\/3 - 290033916*d + 25844616 = 0.\nAnswer: -239302, 2\/11, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + a - 68. Let g be w(0). Let q = g - -70. Solve 3*f + 5*c = -4 - q, 0 = -2*c - 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-18)*(-276)\/(-138)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -26*t + 247. Let n be d(10). Let v be (n*2)\/(47\/(-235)). What is the greatest common divisor of v and 195?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1632 = -7*z - 5*z. Let i = 140 + z. Let j = -10 - -23. Solve -r - 7 = -5*v + 3*r, i*r + j = -v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 11*h - 3. Determine a(-9).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3665756 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(80\/(-24))*-2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 50783\nAnswer: 7\/50783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101010000111001 - -1000001010?\nAnswer: -10101001000101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence er when two letters picked without replacement from {e: 3, r: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8880*c + 5687*c = 582680 for c.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34086 = -84839*h + 83965*h for h.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*i - 7. Let a(w) be the first derivative of -i + 0 - 2*w**2 - 2*w + w - 1 - w**3. Let a(k) = 0. Calculate k.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 6:44 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, n: 1, x: 3, o: 5, v: 1, k: 2}. Give prob of picking 2 x.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2010 + -1437. Is g a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 14 + p + 2*p - 13. Let k(f) = -2*f - 1. Give -4*i(x) - 5*k(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -29*m**2 - 3*m - 2. Let t(l) = -27*l**2 - 2*l - 2. Calculate 2*n(w) - 3*t(w).\nAnswer: 23*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 13565966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, g: 3}. What is prob of picking 2 o and 2 g?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uucucucccucuc. What is prob of sequence uuuc?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6139 and 5361101?\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35 + -15*22\/(-33))*3\/5.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 l, and 2 x when four letters picked without replacement from blbixxa?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**2 + 48*q - 48. Let i be n(23). Sort -3, 0.01, 5, i.\nAnswer: -3, i, 0.01, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -3*d + 24, -u = -0*u + 3*d - 15. Calculate the least common multiple of 8 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**4 - 225*n**3 + 545*n**2 + 3525*n.\nAnswer: -5*n*(n - 5)*(n + 3)*(n + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l - 2. Let q be o(-6). Let p be ((-70)\/42)\/((-14)\/42). Solve 0 = -q*x + 5*g - 14, 1 - 11 = -p*g for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -31, -89, -173, -283, -419?\n\"Answer: -13*z**2 - 19*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 12292 = -2*t, 54*k = 58*k + t - 24604. What is the thousands digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*a - 16. Suppose 1 = c + a*k, -c - 3*c - 2*k = -4. Does 7 divide 17\/(-3 + (5 - c))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43201*m = 43176*m + 775 for m.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 524 = -161*u + 27*u - 548 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.8064l to millilitres.\nAnswer: 53806.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 245*s**3 - 2*s**2 - 3*s + 252. Let q(w) = -736*w**3 + 7*w**2 + 10*w - 750. Let k(j) = -2*q(j) - 7*v(j). Find the first derivative of k(f) wrt f.\nAnswer: -729*f**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 8. Suppose 6*b - b = 10. Is b less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80\/(-6))\/1 + ((-1568)\/(-48))\/14.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.328029l?\nAnswer: 8328.029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 divided by -47334?\nAnswer: 17\/15778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*r + 4, 2*p - 3*r = r - 6. Sort -12, p, 4 in decreasing order.\nAnswer: 4, p, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 3 + 45. What is the least common multiple of i and (-8)\/36 - 440\/(-36)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -26 (b) -2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 112100000 rounded to the nearest one million?\nAnswer: 112000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 849*x - 21. Is h(3) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330975707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4*o = -428, d + 3*d = 5*o + 401. Let m = d + -68. Suppose -2*p + 39 = 3*w, -2*w - 3*p + m = -5*p. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 0.392?\nAnswer: -0.392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-133)\/119 - -9 - (-42)\/357?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d - 11. Let a be 24\/4*(-3)\/2. Let j be z(a). Let u be ((-3)\/j)\/(3\/48). Calculate the greatest common divisor of u and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130 and 2080.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from vxvvvvvx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -624, -2510, -5668, -10110, -15848?\nAnswer: -22894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 5)*(x + x - x) - x + 0*x - x + 4*x - 4*x - 2*x + 0*x + x - 2*x + (-2 - 1 + 1)*(-x + x + 2*x) - 2*x + 6*x - 2*x + 57*x + 106*x - 25*x.\nAnswer: 130*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 160a?\nAnswer: -1605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 4*z + 15, -5*z - 3*r = -7 + 24 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x**2 - 1 - 3358*x + 3363*x + 2. Let k(q) = -6*q**2 - 6*q - 1. Let m(u) = 4*k(u) + 5*l(u). Suppose 4*v + 2 = -2. Calculate m(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97610 is divided by 1027?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 o when three letters picked without replacement from {v: 1, o: 5, s: 7}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03723164021 rounded to four dps?\nAnswer: -0.0372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4*m - 7 = 9, 2*o = -3*m + 7. Let t(w) = 2*w**2 + w + 1. Let j(l) = 2*l**2 + l + 1. Let y(p) = 6*j(p) - 5*t(p). Give y(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h = -2*h + 3*b - 5, 6 = 2*b for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, -51, -113, -177?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 263 and -0.2.\nAnswer: -52.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41854 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -210 - -0.36092743919\nAnswer: -209.63907256081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 16*z**6\/15 - 208*z**5\/25 + 241*z**4\/10 - 92*z**3\/3 + 76*z**2\/5 - 16*z\/5 - 1. Factor d(j).\nAnswer: 2*(j - 2)**3*(4*j - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*k**2 + 0*k**2 - 3*k**2)*(4 - 5 + 2) + k**2 + 0*k**2 + 0*k**2 - 2*k**2 + k - k)*((-1 - 1 + 1)*(1 - 1 - 2) + 2 - 1 - 2).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -201 + -276108?\nAnswer: -276310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2251*t - 4. Let h(b) = -2766483*b + 4917. Determine 4*h(x) + 4917*w(x).\nAnswer: 2235*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/11882 and -149\/18?\nAnswer: 106938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/10977472 and 43\/196416.\nAnswer: 98797248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -25*r**2 + 23*r - 51. Calculate k(3).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 11:39 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 133*v - 3164. Calculate n(-80).\nAnswer: 1076","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -127 in -5, 2, 121, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -98 + 3*z**2 - 9*z**3 - 100 + 303 - 5*z - 99. Let j(l) = -8*l**3 + 3*l**2 - 4*l + 5. Determine -5*a(g) + 6*j(g).\nAnswer: -3*g**3 + 3*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*y**3 - 16*y**3 - 20*y**3 + 229 + 48*y**3 + 17*y**3 - 13*y**3.\nAnswer: -y**3 + 229","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 4. Let n(h) = h**3 - 7*h**2 + 5*h. Let f be n(6). Let u be l(f). What is the third derivative of -11*p**6 + 5*p**6 + 2*p**u + 7*p**6 wrt p?\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -4*t - 2. Let u be b(-5). Let w(f) = 3*f - 6. Let o be w(6). Suppose -x - 2*x - d = -o, -d + u = 5*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 - 44. Let i(k) = k + 2. Let z be i(-3). Let m be 1 + 0 + z + 5. Sort m, t, -5 in increasing order.\nAnswer: -5, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5419912?\nAnswer: 2, 769, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -486 - -489. Suppose 5*z = -w*x + 818, 2*x = -z - z + 328. Calculate the remainder when z is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 16291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4235)*-2)\/(-1*2*sqrt(5)).\nAnswer: 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 15 = -5*z. Suppose 0 = c - 5*s - 25, s = -2 - 2. Solve -c*r = 0, -z*m - r - r = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 p when three letters picked without replacement from {c: 4, p: 2, g: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 6*r - 5 + 0 - 6.\nAnswer: 6*r - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, b: 5, x: 2, m: 2}. Give prob of sequence ffmb.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 p when two letters picked without replacement from bccbcxhcpp?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 43349 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 a be (-2)\/3*(-478 + 13). Let x(o) = -11*o - a + 310. Let r(b) = -b**2. What is x(r(t))?\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*j - j. Let c(u) = -u - u + 0*u + j*u. Let g be c(-5). Sort 2, 5, g in decreasing order.\nAnswer: 5, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 3:32 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, v: 2, n: 6, j: 1, d: 4, f: 1}. Give prob of sequence djfv.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-16)*(-16)\/6. Suppose p*y + k - 6*k + 587795 = 0, k = 2*y + 587775. Let a = y + -86115. Round a to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of g**2\/2 - 3. Let u(b) be the third derivative of -13*b**5\/60 - b**2. Calculate u(c(h)).\nAnswer: -13*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, x: 3, h: 1, w: 1, k: 11, t: 1}. What is prob of sequence hb?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -9*h - 0. Suppose h*n = 58 + 54. What is the third derivative of 6*b**2 + b**2 - n*b**2 + 5*b**6 wrt b?\nAnswer: 600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(72)*1.\nAnswer: -24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((112\/20)\/14)\/(5\/(-500)*-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10146 divided by 5\nAnswer: 10146\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 8*k - 51. Let n be c(7). Suppose -2*j + n*u = -7, -4*j = 13*u - 18*u - 19. Solve -4 = j*h - 28 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 814, 819, 826, 835, 846, 859, 874?\nAnswer: 891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 89800249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o**2 + 15*o - 7. Let k be (-132)\/(-28) + 2\/7. Let s(c) = -5*c**2 + 23*c - 10. Let m(h) = k*s(h) - 8*i(h). Factor m(l).\nAnswer: -(l - 1)*(l + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -147 + 49196?\nAnswer: 49049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*z - 36*z + 8197527 - 8197527.\nAnswer: -89*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vkris. What is prob of picking 1 s, 1 r, and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38968 + z**2 - 6208 - 63*z + 11*z - 3*z**2.\nAnswer: -2*z**2 - 52*z + 32760","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 11:51 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -84, -175, -266?\n\"Answer: -91*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 24732197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -503.11 take away 56.224?\nAnswer: -559.334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -238 - -180. Let c = 87 + k. Calculate the remainder when c is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -15 - 3 + 2 + 20 - 5 + 9*f. Let s(v) = v. Give 6*s(o) - z(o).\nAnswer: -3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 23 = 4*k - 4*o, -3*k = -2*o + 21. Let u be 6\/15 - 43\/k. Suppose -5*z + u + 11 = 0, -4*c + 4*z = -4. Solve 0 = 4*h + 12, -f - 19 = c*h - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/60*-6*2178\/66\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 5 (b) -3 (c) 1.9 (d) -0.09 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 273?\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3714, -3724, -3720, -3684, -3598, -3444?\nAnswer: -3204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-3) - (-2)\/6. Suppose 2*r - 26 = -5*s, c*r = -3*s + 2*r + 22. Let a = 30 + -19. What is the remainder when a is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 47\/4 of a millennium?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4524 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -73341.04+-9.991\nAnswer: -73351.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42 by -14.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1511, -12598, -42683, -101264, -197839?\n\"Answer: -1583*q**3 - q**2 - 3*q + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 3*r. Let n be u(4). Find the third derivative of 0*z**4 - z**n - z**2 + 2*z**4 wrt z.\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/60 - (-34)\/(-48 + -20).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {a: 2, f: 5, e: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8175 plus -0.12745?\nAnswer: 8174.87255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1605374*q**5 - 751*q**2 + q - 22 wrt q.\nAnswer: 96322440*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069\/(-3 - -1 - 0 - -3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55.1021 - 0.1021. Which is the nearest to g? (a) -10 (b) 2 (c) -1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 44322, 72589, 100856, 129123, 157390, 185657?\n\"Answer: 28267*w + 16055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102348, 102349, 102348, 102345, 102340, 102333, 102324?\nAnswer: 102313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1499998092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5229339915271*r + 5229339915271*r + 4*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (416\/9)\/(-8)*(-1881)\/418.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**2 + 47*f + 126. Let r be n(26). Let o be (-25)\/20*r - 3. Put 7\/4, 4, -4, o in descending order.\nAnswer: 4, o, 7\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/36855 and 101\/7639515.\nAnswer: 53476605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 6*p - 6 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 14*y**2 - 13*y + 2. Let w be c(13). Suppose w*h - h = 39. Suppose 15*o - h = 12*o. Solve t + 4*r + 14 = 0, -t + r = -4*r - o for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5276541 and 155?\nAnswer: 26382705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -184*t - 651830 + 636190 for t.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 4*c**2 - 2*c + 1. Let h be q(-4). Suppose -3*v + 6*v + 3 = 4*x, 2*v = 3*x - 3. Solve -2*d - h + v = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -q**4\/4 + 2*q**3\/3 - q - 6955. Let n(i) = -i**3 + 2*i**2 + i - 2. Give -3*f(a) + 2*n(a).\nAnswer: a**3 - 2*a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/150 and 32\/135.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 14*p - 4. Suppose -4*f + 3*f - 4*n = 14, 2*f - 2 = -2*n. Let x(a) = 5*a - 32 + 10 + 6 + f + 9. Calculate 7*x(l) - 2*z(l).\nAnswer: 7*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2418.888 minutes in hours?\nAnswer: 40.3148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2. Let s be 10*(2 + (-9)\/6). Suppose s*u + 1 = 16. Let h(q) = -2 - u*q - 2 + 4. Calculate f(h(p)).\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 17*m - 6. Let j(z) = -z + 1. Let a(q) = 6*q - 4. Let c(p) = -2*a(p) - 6*j(p). Let r = -814 + 803. Give r*c(g) - 4*n(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328563018?\nAnswer: 2, 3, 7, 373, 6991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/4)\/20 - ((-506)\/55 + 12).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3393719 by 1379.\nAnswer: -2461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1209.4 to the nearest ten.\nAnswer: -1210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7923 - 1?\nAnswer: -7924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3145652?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 8*y**2 + 3. Let l be i(-8). Suppose s + 5*n = l, -4*n = -s + 3*s. Let b(c) be the second derivative of -c**4\/6 - c**3\/6 + c. Determine b(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 484352.\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 4.6. Let r = n + -2.4. Let l = -199 + 199. What is the nearest to l in r, 5, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2379267.\nAnswer: 3, 11, 8011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-9)*v*v*v*v**(1\/11)*((v*v\/(v\/(v*v\/((v**(1\/3)\/v*v)\/v))))\/v)**28 assuming v is positive.\nAnswer: v**(2269\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -84 + 76 + 72 + -64\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90980851.\nAnswer: 13, 673, 10399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5393340 divided by 1494\nAnswer: -3610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -11. Solve 4*n - d - 3*d = -12, 3*d - a = n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = 42 + 13. What is the remainder when 44 is divided by x\/10 + (-84)\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(51)\/sqrt(3))**2 - sqrt(17)) + -1).\nAnswer: -3*sqrt(17) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 5 - 5)*(i**2 - i**2 - i**2) - 3*i - 4*i**3 - 161 + 161.\nAnswer: -i**3 - 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 56837.38*-0.5\nAnswer: -28418.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.411619021 - 0.075?\nAnswer: -0.486619021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -u**5\/5 - u**4\/6 - 5*u**3\/6 - 5*u**2\/2 - 108*u. Let a(b) = -5*b**3 - 2*b**2 - 6*b - 6. Give 5*a(k) - 6*n(k).\nAnswer: -k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14 and 160?\nAnswer: 2240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 3*c + 63 = 0, -446*t - 21*c - 26 + 161 = -449*t for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14012575141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -117876087, -117876086, -117876085, -117876084, -117876083?\n\"Answer: a - 117876088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1175*h**2*v**4 - 3473*h**2*v - 590586262*h**2 wrt v.\nAnswer: 4700*h**2*v**3 - 3473*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -237437688*i + 453504. Let c(l) = 9424*l - 18. Give -75584*c(p) - 3*w(p).\nAnswer: 9448*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + 4*sqrt(2448))**2 + (sqrt(170) + sqrt(170) + sqrt(170) + sqrt(170)*2 + sqrt(170) + sqrt(170))\/sqrt(10).\nAnswer: 7*sqrt(17) + 61200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 390 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 3*k = -1692. Let p be (-1)\/(-4 - 219\/(-54)). What is the common denominator of (-4)\/p + k\/594 and 33\/13?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 15. Solve 0 = 4*y - 2*g - g + 2, y = -q*g + 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2316865\/136 + -17036. Calculate the common denominator of n and -31\/170.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**2 - 2*n + 2. Let f = 4 + -2. Let c(o) = 2*o**2 + 0*o**2 + f*o**2 - 5*o - 5 + 10*o. Determine -2*c(u) - 5*y(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0518 + 0.4482. What is the second smallest value in -0.1, -10.7, r, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*n + 9. Suppose 3*p + 49 - 9 = 5*k, -k + p + 6 = 0. What is the remainder when k is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 324.1509 centimeters to meters.\nAnswer: 3.241509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 152\/20*((-3477)\/57 + 66)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 1:22 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2422, -4852, -7282, -9712?\nAnswer: -12142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 32 + 4. Let o be 3\/y*(-4 + 6). Does o = 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4633111, 9266215, 13899319, 18532423?\n\"Answer: 4633104*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 11:20 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + -48. Let c be (10\/(-4))\/(5\/r). Solve c*t - 3*t = 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 6*k - 6 = 0. Let u(m) = -2*m**2 + 3*m. Let t(y) = 2*y**2 - 2*y. Let o(c) = k*t(c) + 2*u(c). Let h(w) = 0 - 2*w + 0. Give h(o(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 11. Let n = u - 8. Let r(y) = -9*y - 10. What are the prime factors of r(n)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257680?\nAnswer: 2, 5, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5977917?\nAnswer: 3, 11, 60383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2454298259.\nAnswer: 7, 379, 925103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 + 3*s - 10 - 1618426*s**3 + 1618372*s**3 - 2*s**2 in the form z + m*s**2 + r*s**3 + c*s and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-10047200)\/(-114) + 7\/(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12957842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 1 (b) 32 (c) 126 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -72, -150, -228, -306?\n\"Answer: -78*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one eighths of a tonne in kilograms?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/846 and -51\/10.\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 128 and -32.67.\nAnswer: -4181.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*d**2 + 29 - 29.\nAnswer: 48*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 27 = 30*q, -235*q = -252*q - 5*i - 12 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3529252 divided by -4?\nAnswer: 882313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 80*v**3 + 60*v**2 + 200*v + 170. Let y(z) = 3*z**3 + z + 2. Let o(f) = -q(f) + 25*y(f). Factor o(i).\nAnswer: -5*(i + 1)*(i + 3)*(i + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6*45\/(-216))\/(3\/(-12))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1943 or -1931?\nAnswer: -1943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3095380893 and 60.\nAnswer: 3095380953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -366 - -382. Let d(r) = -12*r**2 + x*r**2 + 2 + 21*r**2. Let j(b) be the first derivative of -b**2\/2 - 1. What is d(j(g))?\nAnswer: 25*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1958232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 (base 9) in base 12?\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12723 = -3923*m + 20569 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + m**2 + 2 - 630*m - 284*m to the form i*m + b + z*m**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/85, -3, 4, 0.18 in decreasing order.\nAnswer: 5, 4, 0.18, 1\/85, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*j - 5*y = -31, 4*j + 3 = 3*y. Solve 0 = -n - 2 - j for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 809488?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1659 or 1656?\nAnswer: 1656","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ijiu when four letters picked without replacement from iuuujuiixuxujuxuiujx?\nAnswer: 9\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3 + (-1)\/(36\/80) and -23\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-220)\/8)*-1\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 22\/7 (c) -414 (d) 4 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (2 - 0) - (-1 - ((36 - -2) + 2))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -111 + 194. Let s = -88 + u. Let i be 21\/(-6) + (-1 - -2). Which is the second smallest value? (a) s (b) i (c) -3 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -45303 - 7?\nAnswer: -45310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 + -0.8. Let x = 9.933 - -0.167. Let v = -9.1 + x. What is the closest to 3 in k, 0, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-6))\/(1\/6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74787.\nAnswer: 3, 97, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31218 by 6.\nAnswer: 5203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4604*j + 1665*j**3 + 222*j - 801*j wrt j?\nAnswer: 9990*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-210)\/(-2835) + 11020\/3591?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 93.38938cm?\nAnswer: 0.9338938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**3\/2 + 3*z**2\/2 - 2*z. Calculate the remainder when 58 is divided by n(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2043541278 to the power of 1\/5, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, f: 3, i: 2, v: 1, t: 4}. Give prob of sequence ift.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -3710\/3*o**2 - 2\/3*o**5 - 10976\/3 - 662\/3*o**3 - 58\/3*o**4 - 10192\/3*o = 0.\nAnswer: -7, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - 28. Let v be (24\/(-28))\/(a\/28). Suppose 0 = -3*r + m + 2554, -4*r + v*m + 2125 = -1267. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4985874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-5))\/(5\/(10\/(-39))).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wg when two letters picked without replacement from vdgymydyvmywygddymg?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5630246 (base 7) in base 13?\nAnswer: 1b4cac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3262 is divided by 738?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -7*c - 9. Let q be h(-2). Let b(l) = 8953 - 8953 + q*l. Let t(d) = -8*d. Calculate b(t(k)).\nAnswer: -40*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100110 + 203?\nAnswer: 100313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 721 and 192095?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(833) + 1 + -2.\nAnswer: -1 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 9:20 PM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, -5 in increasing order.\nAnswer: -5, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3855457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*j + 64*j - 2*j - 15*j - 1.\nAnswer: 88*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((1\/(-2))\/((-6)\/12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 12) to base 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (256*j - 222*j + 145*j)*(4 - 10 + 5 + j).\nAnswer: 179*j**2 - 179*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-4)\/(-96)*-8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -11*z**2 + 20*z - 131. Give h(5).\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 4:12 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 5033*q + 107 = 5019*q, -3*h + q = 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 + (-2 - -6) + -10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -582, -1167, -1750, -2331, -2910, -3487?\nAnswer: -4062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 163 + h - 536*h**4 - 163 + (-33*h**2 - 34*h**2 + 47*h**2)*(0*h**2 + h**2 + 0*h**2).\nAnswer: -556*h**4 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-375)\/50*(-2)\/20.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2)\/(-8))\/((-34)\/(-20536)).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 85*i - 5. Let x(p) = -43*p + 3. Determine -6*j(q) - 11*x(q).\nAnswer: -37*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2 = -m - 0*h, 3*m = -5*h + 6. Let x(q) = -5*q + 1 + 0 + 2*q - 4*q**2 + m*q. Suppose 0 = -0*z + 3*z - 3. Give x(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-66)\/(-88))\/((-1)\/(-460)). Let i be 15\/9 + 1\/3. Suppose l = -i*l + m. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 24*s - 89. Let z = 0.7 + -1. Let o = z + 0.4. What is the third biggest value in o, s, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/609)\/((-1769)\/(-359107))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 54.98482cm?\nAnswer: 549848200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-6))\/(25\/(-10))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1091 + -1050. Solve -5*x + j = 27, -3*x + 5*j = -16 + z for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -10*w - 6. Sort -2, -5, w, -9 in decreasing order.\nAnswer: w, -2, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4240 and 5353.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4025*a**4 - 1151*a**3*f - 2972*a**2 + 246*a*f wrt a?\nAnswer: 96600*a - 6906*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/5))**(-30)\/(d\/d**(2\/3)*d*d\/(d\/((d*d**5*d)\/d))*d*d)*(d**4*d*d**4)**44 assuming d is positive.\nAnswer: d**(1196\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*h + 479 - 250 - 217 to the form w*h + j and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 2*w. Suppose w*f + 930008 = f. Suppose 3*m + 4*k = f, -m + 3*k - 1550006 = -6*m. What is m rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-5700)*19*3\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + -8. Let h = v + 15. Find the second derivative of 4*a**4 - 2*a - a**h - 2*a**4 wrt a.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -4\/5 (b) 1 (c) -0.11 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 7:14 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*j**2 + 7*j - 7*j + 0*j.\nAnswer: -55*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 3*d - 2. Let p be y(1). Suppose 5*w + 8*q - 3*q - 10 = 0, -3*q - p = -5*w. Solve 0 = a + o - 7, a - 3*o = -o + w for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (54\/(-30))\/3 + (-12)\/5. What is the nearest to -22 in -8, 0.1, 2\/3, l?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64\/(-24))\/8*-3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16673\/29 - 575. Let y(h) be the first derivative of h**2 - h - 5. Let u be y(0). Is j smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 101*m**2 - m - 87*m**2 + 186*m**2 - 2.\nAnswer: -2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -410 or -411?\nAnswer: -411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1122135 (base 7) in base 11?\nAnswer: -96220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 260 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b - 34. Let a be z(-12). Suppose 3*i - 1130012 = 3*v - a*v, -v - 1130004 = -i. Round v to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 3:30 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -3, 5, -2\/5, -1840\/7, 1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 at least as big as 259\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 29, -0.05351, -2, 2\/11, 0.1, -8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 1 = 3*k. Let y = k - -2. Suppose -3*r + p = -37, 3*r + 7*r - 2*p - 110 = 0. Solve y = -10*z + r*z + 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 7*m - 2. Let c be n(6). Let g(p) = p**2 + 8*p + 17. Let b be g(c). Let -39*d + b*d - 8 - 578*d**2 - 74*d - 40*d = 0. Calculate d.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -78, -90, -106, -126, -150?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(-10)\/15*1*-24. Suppose 5*a + 425 = 5*v + 2*a, -2*a + 425 = 5*v. Let s = 197 - v. What is the greatest common factor of o and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*x - 128 = 0. Is 30 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17.3 - -4.7. Let m = 16 - v. Let o = 5.8 + m. Which is the second biggest value? (a) -3 (b) o (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6336917, -12673833, -19010749, -25347665, -31684581, -38021497?\n\"Answer: -6336916*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4449418 to the nearest integer?\nAnswer: 2109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 566 (base 12) in base 4?\nAnswer: 30132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 18777 = 5*w + 41053, 2*p - 4*w - 23924 = 0. What is the ten thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.069 + 0.069. Let g be (-2)\/1*(-2)\/4. What is the second smallest value in 3, g, h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aaaaaaaaaaaaaaaaaya.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(224) + (sqrt(224)*2 - sqrt(224)))\/(-1*sqrt(288)*-2).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -268\/5 - -55. Let f(j) = j**2 - 6*j - 4. Let m be f(7). Suppose m*c - 10*c = 0. Which is smaller: c or g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-108)\/(-182655)*-11*200\/(-80)\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64 - -61. Let r = w + 2. Let x = 139\/3 - 46. Which is the nearest to r? (a) -3 (b) x (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2146*m + 1233*m = -2*f + 32860, 3*f + 84 = -2*m for m.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5a32d0 + 5?\nAnswer: -5a32c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127362*y**3 + 281*y**2 + 63671*y**3 + 63689*y**3.\nAnswer: -2*y**3 + 281*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 54 - 230 - 557*r**2 + 555*r**2 + (5 - 1 - 2)*(3*r - 3*r - 2*r**2) - 3 + r**2 + 3.\nAnswer: -5*r**2 - 176","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4 = i - 2*o, 3*o - 5 = 2*i. What is the tens digit of (-17)\/34*(329 + -1)*i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -112376098*f**2 + 225609503*f wrt f.\nAnswer: -224752196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 k, and 1 w when three letters picked without replacement from ncdnncdwankw?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -828, 4 in descending order.\nAnswer: 8, 4, -828","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-146)\/(-3285))\/(3\/(-15))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y - 44 = 108. Let t = 465 + -458. Solve y*p - t*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*u - 3*u. Let f(p) = 4*p**4 + 6*p. Let k(c) = -c**4 + c. Let x(t) = u*f(t) - 6*k(t). What is the second derivative of x(b) wrt b?\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + d + 0 + 2*d + 0 + 0 + (-3 + 0 + 1)*(-2*d + 2*d + d) - 1 - d + 1 - 1 + 1 - d - 2*d + d - d - 7*d + 4*d + 2*d - 4*d - d + 7*d)*(d + 5*d - 2*d).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1216, 2436, 3656, 4876, 6096, 7316?\n\"Answer: 1220*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 0*h - 7*h**4 + 82 - 1\/2*h**2 + 28\/3*h**3. Find the third derivative of r(u) wrt u.\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -22*q**7\/7 + 361*q**4\/12 - 14*q**2 - 27*q. What is the second derivative of f(u) wrt u?\nAnswer: -7920*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 427868 - 2437868. What is q rounded to the nearest 100000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 39 = 3*u, -2*r = -3*u - 2*u + 56. Is (-2319)\/(-15) - (-4)\/u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -223 and -223 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*z - 978 = -n, 0 = -n + 4*z + 346. Let m = n - -428. Let u be 1\/6 - m\/12. Round u to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**5 + 125*y**4 - 1035*y**3 + 2755*y**2 + 1040*y - 2880 = 0. What is y?\nAnswer: -1, 1, 8, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minus -20832268?\nAnswer: 20832287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 89301*k**3 + k**2 + 2*k - 4. Let f be a(1). Round f to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4417000 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 1. Suppose -504 + 485 + 1209 = 70*d. Let u be ((-1)\/6)\/(2\/(-8)). Which is the closest to d? (a) 0.1 (b) u (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194463 is divided by 663?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -157 - -788\/5. Let j = 0.042 - 0.542. Which is the smallest value? (a) 1\/5 (b) f (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*c, -6*g + 5*g - 2*c = -836. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28156 to the power of 1\/2, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.545 + 0.045. Which is the fourth biggest value? (a) r (b) 2\/7 (c) -4 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8409, -16290, -24173, -32058, -39945?\nAnswer: -47834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -25b352 (base 14) in base 2?\nAnswer: -100111101000010001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239688.\nAnswer: 2, 3, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2675634)\/1768130 - 2\/10. Let z = h - 2\/1943. Calculate the common denominator of z and ((-14)\/32)\/((-3)\/84).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u**3 - 4*u + 2*u**3 + 5*u**2 - 20 - 8*u + 6*u**2. Let g(r) = r**3 - 5*r**2 + 6*r + 10. Let i(p) = -3*b(p) - 5*g(p). Calculate i(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 7*a + 71 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -271*s + 7806 + 12790 for s.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 6908\/27579 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/772 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in seconds?\nAnswer: 57600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 139*f - 835. Calculate j(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5*((-14)\/49 - (-86)\/350)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of u**5\/120 + 5*u**3 - 29. Let b(h) be the third derivative of n(h). Let t(p) = -6 + 6*p + 0 + 6. Determine t(b(y)).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*t + 2*t. Let l be t\/2*(2 + 3). Suppose 18 = -l*d - 2*c, -d + 3*d = -4*c - 4. Sort d, 0, 4 in descending order.\nAnswer: 4, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 5*m**3\/3 + 5*m**2\/2 + 5*m - 1. Let o(b) = -7*b**2 - 8*b - 8. Let s be (1\/(-4))\/((-29)\/(-580)). Determine s*o(k) - 8*r(k).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 38\/9 + 6\/(-27). Suppose -h*p - 42 = -t - t, 84 = 4*t + 4*p. What are the prime factors of t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) - (sqrt(84) - (sqrt(84) - sqrt(84)*1)*-3))\/(sqrt(1728)*2)*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) 2 (c) 4478 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1910.\nAnswer: 2, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (45\/12 - 3) + ((-558)\/(-40))\/(-9)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11887 = -198*p - 587 for p.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -6938 greater than or equal to -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 5*u - 22. Let q be (2\/(-1))\/(54\/189). Determine m(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12146053 + 24?\nAnswer: -12146027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1210*y + 1078*y + y**2 + y**2.\nAnswer: 2*y**2 - 132*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 6*l**2 - 4*l + 3. Let b(w) = 2*w**3 + 13*w**2 - 9*w + 7. Let t be (6\/(-2) + 77\/35)*-5. Suppose -t*o = o + 65. Calculate o*v(q) + 6*b(q).\nAnswer: -q**3 - 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, b: 5, y: 1, z: 3}. Give prob of sequence bz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 125023 + -2?\nAnswer: 125021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(300) + (3 + sqrt(300) + -2)**2 - ((-2 + sqrt(300))**2 + -2) - (sqrt(4752) + sqrt(4752)*-3)\/(sqrt(55)\/sqrt(5)*6).\nAnswer: -1 + 74*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 60*n + 862. Determine o(-36).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -814316*h*x*y**3 - 4*h*y**3 - 2*x*y**3 - 2*x*y**2 - 53*x*y + 87*y**2 + 4*y + 24 with respect to h.\nAnswer: -814316*x*y**3 - 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1695*f*j**3 + 22*f*j**2*o**3 - 96715*f*o**3 with respect to j.\nAnswer: -5085*f*j**2 + 44*f*j*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 258282 and 216?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89 - 51 - 38 - m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 65236?\nAnswer: -65240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47*a**4 - 23*a**4 + 6*a + 3*a wrt a?\nAnswer: 288*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 0. Calculate the common denominator of -9*(116\/(-168) + 1) and (-9)\/6 - u\/(-4).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3418234, 3418287, 3418342, 3418399?\n\"Answer: g**2 + 50*g + 3418183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 times -10431\nAnswer: -12517.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100 (base 3) in base 8?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*u + 6. Solve -2*k - u*s - 4 = 2*k, -5*s - 22 = -k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1121762 and 39?\nAnswer: 1121723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from cccooooooooooocoooo?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50443?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 h when two letters picked without replacement from hphagsh.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**5 - 2*b + 2*b + (0*b**2 + 0*b**2 + 3*b**4)*(-b + 1 - 1) - b**4 - 5*b**5 + b**4.\nAnswer: -12*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -21 * 18.78\nAnswer: -394.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -17*o + 5. What is the hundreds digit of n(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d - 5*d**2 + 14*d**2 + 6*d**2 to the form b + x*d + c*d**2 and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -545*q**5\/12 - q**4\/24 - 3005*q**3\/6 - 8157*q**2. Find the second derivative of p(k) wrt k.\nAnswer: -5450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 c when two letters picked without replacement from {c: 8, r: 3, o: 4, v: 4}.\nAnswer: 32\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -45*h - 28. Let w(y) = -23*y - 14. Determine 6*m(c) - 11*w(c).\nAnswer: -17*c - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 229, 1, 4, -3 in descending order.\nAnswer: 229, 4, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1460 (base 8) to base 7\nAnswer: -2244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - (-2)\/4)*(-27456)\/144. What is the first derivative of j + 142*w**2 + w - 349*w**2 + 72*w**2 wrt w?\nAnswer: -270*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 7*b**2 - 5*b + 3. Let r be u(1). Let q be 2*10*3\/4. Is 2 - r\/(q\/(-99)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -69*z**2 + 69*z**2 - 26*z**3 + (2*z - 2*z**3 - 2*z)*(5 - 6 - 1) - 1 + 1 + 3*z**3.\nAnswer: -19*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4396 - 629*b**4 - 33160956*b + 33160957*b - 2169 wrt b?\nAnswer: -2516*b**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*s + 0 - 12*s**2 + 2\/5*s**3.\nAnswer: 2*s**2*(s - 30)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-351)\/(-78) + (-3)\/2. Solve 5*j + 3*d + 35 = -0*d, 3 = c*j - 3*d for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 12*g**3 - 30 - 23*g**3 + 31.\nAnswer: -11*g**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 9 - 10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 14*n + 7. Let c be p(-4). Let m = 110 + c. What are the prime factors of m?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292750 is divided by 574?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*l**5 + 40*l**4 + 192*l**2 wrt l?\nAnswer: -180*l**2 + 960*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1343 - 752. Suppose 21*q = 1509 + w. What is the smallest common multiple of q and 96?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43 by 201003.\nAnswer: -43\/201003","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -9*p**3 + 2*p + 71. Let v(t) = -10*t**3 + 3*t + 69. Let g(f) = 3*j(f) - 2*v(f). What is the derivative of g(y) wrt y?\nAnswer: -21*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 28 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82\/3*f**2 - 38\/3 - 44\/3*f = 0. What is f?\nAnswer: -19\/41, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 10*h**2 - 12 - 2*h**3 + 4*h - 12*h + 4*h**3. Let g(v) = -v**2 + v + 1. Let i be (3 - (1 + 6)) + 3. What is i*s(f) - 10*g(f)?\nAnswer: -2*f**3 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 k, and 1 t when three letters picked without replacement from ktddm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 85 - 65. What is the smallest common multiple of j and 56?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263 a factor of 21275043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5*n + n**3 - 8*n**2 - 5 + 13 + 1 + 4*n. Let c be d(8). Let j = c + -78. Solve -8 = -j*z + 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 279 + -279.00254. Round z to 4 dps.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 41\/5, -1249?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24833461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*g = -3*g - 3, -2*r - 4*g = 0. Suppose 0*n + r = -n + s, 0 = -2*n + 5*s - 24. Let q = 13 + n. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4270199676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 62*f**2 + 335*f + 96. Determine k(56).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -x - 76, -4*x - k = 4*k + 220. What is the units digit of (-1 - x\/16)*4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291325127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103961, 105269, 106575, 107879?\nAnswer: 109181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*m**3 + 2339075 - 2339075 - 32*m**5 + (-3*m**3 + 2*m**3 + 3*m**3)*(m + 2*m**2 - m).\nAnswer: -28*m**5 - 15*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2137 is divided by 30?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 + 2.04. Let a = 26 - 37. Let w = a + 11. Is w greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*f - 1 + (3 - 5 + 0)*(f - 4*f - f) + 4 - 4 + 2*f + 2*f - 2*f + 4*f.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.043 - -6.043. Let f be 6\/10*(-10)\/(-16). Which is the nearest to s? (a) 0.4 (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1374.8877 months to decades.\nAnswer: 11.4573975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) 0 (b) 11124 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {d: 3, x: 4, i: 4, e: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 24, -2\/17, -5?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.114 and 799.\nAnswer: 799.114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 236, 533, 948, 1481?\nAnswer: 2132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/(-12))\/(2\/(-6)). Let c(m) = m + 2. Let a(q) = 3*q + 6. Calculate h*a(j) - 8*c(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 286.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -6627*u. Let c(a) = -a. Give b(c(j)).\nAnswer: 6627*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*k**3 + 26*k**3 + 12*k**2 + 23*k**3 - 20*k**4 - 2*k**2.\nAnswer: -5*k**2*(k - 2)*(4*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7822 - 2769 = -497*z - 126*z for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*s**2 - 76*s - 2 - 3*s**3 + 38*s + 38*s as q*s + r*s**2 + u*s**3 + c and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -113 + 678. Let m = 54804\/97 - z. Let q = m - -298\/679. Which is the closest to 18? (a) q (b) -1\/2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 218\/(-24)) + 2*-2.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1100) - (1*sqrt(1100))**2)*2*5 + -1 + -2 + -1.\nAnswer: -11000 + 100*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 8:59 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9301 is divided by 565?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31075844?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 7 (b) 1\/17 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/128, 6, 2, 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 9 - 8)*((-8*g**2 - 22*g + 22*g)*(4 - 4 + 4) - 2 - 2*g**2 + 2).\nAnswer: 408*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1140005176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-14 + 6)*(2 - -27). Solve 3*g - 38 = -k for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1393*h**3*m**2*q**3 - h**3*m*q**2 + m**2*q**3 + 208*m*q**3 - m wrt m?\nAnswer: -2786*h**3*q**3 + 2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/25 and -21\/10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19617 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -8*i**3 + i**2. Let n be s(-1). Let h = 25 + -1. Let l = h - n. Is 10 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266240 divided by 128?\nAnswer: 2080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61264 is divided by 197?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 2, u: 2, e: 1, v: 1, m: 1, y: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hl when two letters picked without replacement from fffzlvvhzhrz.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/372 and 121\/78.\nAnswer: 4836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -210*a + 115504. What is h(550)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 - 2*t**2 + 0*t**2 + t)*(t + 2*t - 2*t + t**2 + (-5*t + 4*t + 0*t)*(-2 - 2*t + 2)).\nAnswer: 3*t**4 + 4*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4138 divided by 2\nAnswer: -2069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-30)\/(-4))\/((-144)\/(-22)). Let g = -1061\/144 + s. Is g bigger than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51 + ((-656964)\/162)\/(-77).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 562775074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 7.454 decades?\nAnswer: 0.07454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4, 18, 36, 50?\n\"Answer: -2*b**2 + 28*b - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.6 + -2.6. Let p = -138 + 143. What is the nearest to t in -1\/4, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 7*g + 3*g + 56, 0 = -g + 5. What is the units digit of l*(-2 - (-9)\/6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - 25. Let r be (640824\/(-36))\/(z\/6). Suppose 4701 = 5*l + r. Round l to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2248948+21\nAnswer: 2248969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 123058 (base 11) to base 5\nAnswer: 22210024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(-1*sqrt(300))*-6.\nAnswer: 6*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 1. Let d(k) be the third derivative of 1\/12*k**4 + 0 + 0*k - 4*k**2 - k**3. Let b(a) = 3*a + 1. Let v be b(-2). Give v*y(u) - d(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f + 4 - 12 - 1 + 3 - 3 - 14*f + (-2 - 1 - 1)*(0*f + 3*f - 2*f) + (3*f - 4*f + 3*f)*(-2 + 4 + 0) - 3*f + 3*f + 2*f.\nAnswer: -15*f - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 10:15 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6)\/c**0)\/(c**(-3)*c**2*c)*(c**(2\/3))**(-1\/16)*c**(-6)\/(c\/c**1) assuming c is positive.\nAnswer: c**(-289\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 - 507. Let s(i) = -3*i**2. Determine h(s(m)).\nAnswer: 18*m**4 - 507","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21737?\nAnswer: 21737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 19*d**2 + d + 23. Give s(-19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12494 + -6051. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**5 + d**5 - 2*d**5 + (-4*d**2 + 26*d**2 - 2*d**2)*(0*d + 3*d - 2*d)*(0*d - d - 54 + 23095*d**2 - 23097*d**2).\nAnswer: -41*d**5 - 20*d**4 - 1080*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.8567 rounded to one decimal place?\nAnswer: 6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 4, -1.4761 in decreasing order.\nAnswer: 12, 4, -1.4761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8 + 14 - -342)\/((-6)\/(-2)). Solve 0 = -9*r + f - 143 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4424, 7, -5, 0, 5 in decreasing order.\nAnswer: 4424, 7, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 t when two letters picked without replacement from sttuuuz?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/4 and 16\/2181.\nAnswer: 8724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 38?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 9*q**2 + 9*q - 5. Let j(g) be the third derivative of -11*g**5\/60 - 3*g**4\/8 + 2*g**3\/3 - g**2 - 7. Let w(c) = 6*f(c) + 5*j(c). Determine w(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 30, 0, 0.02, -0.4, -3, -1381?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {p: 2, i: 5}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 3:25 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10104 and 1.0166864.\nAnswer: -10102.9833136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0787 - -0.1787. Put -0.03, -0.04, -4, r in ascending order.\nAnswer: -4, -0.04, -0.03, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-2)*(4 - 3). Is 15 a factor of x - ((-366)\/2)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 143*(-5)\/(-1170)*-5*-18\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 1628\/(-74) - 2252\/116\nAnswer: -12\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q + 8. Let r be i(-7). Suppose 4*x - 109 + r = 0. Suppose -8 - x = -4*k. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2699849161\/1302 - -2073617. Find the common denominator of k and -50\/189.\nAnswer: 11718","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 16 - 548. Calculate the highest common divisor of i and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-9) + (-76)\/72*-32. What is the highest common factor of a and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7\/15)\/(((-1624)\/48)\/(-29)). Which is the third smallest value? (a) x (b) 10 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 4:14 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (-17 + 7 - 18 - -12)) + 0?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15435 = -16*c - 5*c. Round c to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*o - 25380 = -16140. Is -168 != o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*p = 74*p - 3, -3*v = -p - 7074. Calculate the greatest common divisor of 14 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a century in decades?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 7. Suppose 2*o - 5*p + 0 = -4, 0 = 5*p. Find the common denominator of (o\/a)\/((-18)\/(-284)) and -31\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23760 and 810.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (5 + -2 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -19*c - 111. What is the smallest common multiple of p(-6) and ((-27)\/(-6))\/(2\/4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/11, -2\/23, 91, 3\/4, -5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-1 + 1 - 2) + -27 + -59 + 64?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65200 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -8*x**2 - 2713*x - 36660. Calculate l(-14).\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hja when three letters picked without replacement from hhhijaa.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of q**5\/210 + 19*q**4\/6 - 536*q**3\/21 - 2071*q**2. Determine y, given that v(y) = 0.\nAnswer: -268, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 r when three letters picked without replacement from vvrpv?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127735089.\nAnswer: 3, 2441, 17443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 11*r**2 + 353*r - 10. Give d(-32).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.44 - -0.51. Let g = -191\/10 + 37\/2. Is g smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7\/8 + 11\/40. Let j = 117.46 - -2.54. Let s = 118 - j. What is the closest to -2\/3 in s, w, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12929293 and -1787?\nAnswer: 12927506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5905053, -11810097, -17715141?\nAnswer: -23620185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-270)\/(-243) - 26\/(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -o - 3. Suppose g - 2*z + 0*z = -4, -o = -5*g + 2*z. Solve -4*q = -3*q - 5, -23 = g*c - 3*q for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - -6 - -12 - (-1 - (15 + -4))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*n**2 - 2*n**2 - n**2)*(-2*n + 4*n - 3*n) + (0*n + 2*n - 3*n)*(3*n**2 + 3*n**2 - 4*n**2) as m*n**2 + l*n + a*n**3 + i and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 3, -2\/11, 12, -208?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/6)\/o*o*o\/(o\/(o**(-7\/9)\/o*o)*o) assuming o is positive.\nAnswer: o**(-29\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 728*r**3*y**3 + 6276*r**3*y + 685*r*y**3 - r*y + 100*y**3 - 874*y + 15 wrt y.\nAnswer: 4368*r**3*y + 4110*r*y + 600*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 545 and 15019546.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 908 and 632856932.\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -129817, -129545, -129261, -128959, -128633, -128277?\n\"Answer: v**3 + 265*v - 130083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 459309.\nAnswer: 3, 283, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -164, -327, -494, -665?\nAnswer: -840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -447 (base 10) to base 16.\nAnswer: -1bf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o\/(o\/o**(-3\/5))*o))*o**(-4\/9))\/((o**(-3)*o*o)\/((o**(-9)*o)\/o)) assuming o is positive.\nAnswer: o**(-362\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 200504 (base 6) to base 16\nAnswer: 3d78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cvvn when four letters picked without replacement from vncvcvcnvvcv?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1974, -77, 7 in descending order.\nAnswer: 1974, 7, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 222 and 250188.\nAnswer: 9256956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 227933 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*p**3 + p**3 - 2*p**3 + (-1 + 1 + p)*(2*p**2 - 6*p**2 + 2*p**2).\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*z - 35*z - 17*z = -400 - 854 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnbaybaybya. What is prob of sequence nan?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46342*s**3 + 40*s**2 - 172*s - 2.\nAnswer: 278052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 4, 15.375, 2\/17?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -177b171b - -4?\nAnswer: -177b1717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-6)\/21 + -194*12\/84).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11863812?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -1 - 35*r - 7*r + 1. Does 24 divide a(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**0\/g)\/g)**(-13)\/(g**5\/g**(-3\/2)) assuming g is positive.\nAnswer: g**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.58399 hours?\nAnswer: 2102364000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**3 + v - 13. Let h(d) = -3. Determine 2*f(p) - 9*h(p).\nAnswer: 6*p**3 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kjck. Give prob of picking 3 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 795287*n**4 - 25*n**3 - 2*n**2 + 27798157*n wrt n.\nAnswer: 9543444*n**2 - 150*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*b - a, 2*b + 4 = -0*a + 2*a. Solve b*i - i + 2 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01 and -0.089.\nAnswer: -0.00089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3633 and 588?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 11. Suppose 3*o + s = -2*s + 414, 0 = 3*o + q*s - 409. Let r = o + -77. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17231088, -17231090, -17231092, -17231094, -17231096, -17231098?\n\"Answer: -2*i - 17231086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/45 - ((-13213540)\/300 + -19).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/2 + 9199*t - 18396.\nAnswer: -(t - 18396)*(t - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.060492324 + -0.06048. Round r to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 20 - 5. Let v(m) = 2*m + 7. Let n be v(a). Let c(o) = -4*o - 6. Let t(s) = -3*s - 7. Let h(i) = n*t(i) + 2*c(i). Give h(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*i**4\/3 - 14*i**3 + 82*i**2\/3 + 56*i - 24 = 0. Calculate i.\nAnswer: -3, -2, 3\/8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/4103 and -49\/10.\nAnswer: 41030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) -2 (c) 2\/17 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/8)\/(84\/8 + -10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(700).\nAnswer: 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 21.45 times -0.0981\nAnswer: -2.104245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6753, 13503, 20247, 26985, 33717, 40443, 47163?\nAnswer: 53877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 18 + 3 - 6\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -90*f - 85. Let j be 9\/54*-3062 + (-2)\/(-6). Let l(b) = -b - 1. Calculate j*l(g) + 6*s(g).\nAnswer: -30*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1860\/165 - (198\/(-495))\/(2\/(-60)).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v. Let g be d(-1). Let x = 526 - 537. Let c be x + (9 - 6) - -14. Put g, c, -2 in increasing order.\nAnswer: g, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 34087634?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 35*o**2 - o + 122. Suppose -70*i + 98*i - 980 = 0. Calculate the remainder when l(i) is divided by 38.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31958 minus 51056?\nAnswer: -83014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000496 rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -2*u - p - 2, 4*u - 2*p - 4 = 0. Suppose u = n + 5, o + 4*n + 26 = 3*o. Do o and 3 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34613 to the power of 1\/2, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/2 + 1764*w**2 - 17659*w\/2 + 10599.\nAnswer: (w - 3)*(w - 2)*(w + 3533)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 5. Let m = r - -5. Suppose m*n**2 - 7 - 11*n**2 - 12*n - 2 = 0. Calculate n.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9120 + 0.5.\nAnswer: 9120.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 612110971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: 14517a (base 11) to base 8\nAnswer: 672256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 2 = -2*i, 14 - 1 = -4*i + 5*r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365 is divided by 92.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 333*y**2 - 1903*y - 6050990 wrt y?\nAnswer: 666*y - 1903","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 1 + (0 - -12). Let n = 26 - -1. Solve -4*q + v - 9 = h, 4*v = 3*q + n for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 28710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.04 + 955.321?\nAnswer: 1029.361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2044, -5006, -7968, -10930, -13892, -16854?\nAnswer: -19816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 183783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 9, -1\/3, -0.3, -82, -5 in descending order.\nAnswer: 9, -0.3, -1\/3, -1, -5, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 3*l**4 + 30045*l**3 + 7524951*l**2 + 14959779*l + 7464870 = 0.\nAnswer: -9758, -255, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2318*o**3 - 5*o**5 + 2281*o**3 + 2*o**5 + (-o**5 - 5 + 5)*(1 + 0 + 1).\nAnswer: -5*o**5 - 37*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11854142?\nAnswer: 2, 149, 39779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f\/f**(-22))*f)\/f**(7\/2))\/(f\/f**(2\/15)*f)**(6\/7) assuming f is positive.\nAnswer: f**(-271\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 21 + (-13 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5*k**3 + 20*k - 20. Let x(s) = -s**3 + s - 1. Give -c(n) + 20*x(n).\nAnswer: -15*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 192, 381, 570, 759?\nAnswer: 948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - o = 9, -16 = -8*a + 10*a + 4*o for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2646, -3, -177, -1, 4 in increasing order.\nAnswer: -177, -8, -3, -1, 4, 2646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 171, 206, 229, 240, 239, 226, 201?\nAnswer: 164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3127800?\nAnswer: 2, 3, 5, 13, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 7:25 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 15\/16 of a centimeter?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -57*x**2. Let h(v) = -564891*v**2. What is h(w(f))?\nAnswer: -1835330859*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 1012650*g**2 - 62*g**3 + 1 - 3 - 1012648*g**2 + 7*g + (g - g - g)*(0*g + 2*g**2 + 0*g) as o + n*g**2 + x*g**3 + m*g and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.05 + -0.05. Let w = 11 - o. Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 24 = -367*t + 371*t, 27 = 3*t - 3*n for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5 = 37. Suppose -l = -5*l + s. List the prime factors of ((-4)\/8)\/(l\/(-28)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -87467, -174938, -262407, -349874?\n\"Answer: s**2 - 87474*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5906229 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 0*z**2 - 106*z + 47 + 68*z + 2*z**2. Is b(-20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31514337135 - 2.\nAnswer: -31514337137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*a + 33 = 68*a. Solve -12*u + 2 = -a*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -13, 44, 9\/10, -0.072?\nAnswer: -0.072","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*f**3*q**3 - 24*f**3*q**2 - 3*f**3*q - 2*f*q**3 - 9*f*q - 2*q**3 wrt q?\nAnswer: 222*f**3 - 12*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 171*g + 4366. Give k(-25).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13890 and 18?\nAnswer: 41670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-126)\/(-4) + (-1 + -5)\/(-12). Suppose -43*d = -j*d - 31867. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*l + 376 = -20 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -102.82 - -99.82. What is the third smallest value in 598, -2, h?\nAnswer: 598","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 21*x + 22. Let g be h(15). Suppose 3*c = 2*c + g. Suppose 0 = 3*t + t - c. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31554 (base 8) to base 14\nAnswer: 4b24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**2*q)**(9\/2)\/(q**2*q)**(-1\/28))**(-5) assuming q is positive.\nAnswer: q**(-1905\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62 + 136. Suppose -15*q + 12*q + y = 0. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**3*w**2 - 125204*a**3 + 5322561*w**2 wrt a.\nAnswer: -6*a**2*w**2 - 375612*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m + 6. Let n be r(-3). Let l(z) = z**2 + 2*z - 1. Let g be l(-3). What is the closest to g in -5, n, 0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -5*s - 56 + 326, -3*s - 88 = 2*y. Let z = 109 + y. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -76\/9, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 646154.9ml?\nAnswer: 646.1549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.642 - 0.712. Sort 2, -33, k in decreasing order.\nAnswer: 2, k, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 82*w + 69. Let v(b) = 124*b + 104. Let f(g) = 7*i(g) - 5*v(g). Find the first derivative of f(d) wrt d.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/1839368 and 46\/37429.\nAnswer: 12875576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15975.6 + 4128.4. Let a = n + -20107.0002. Let b = a - -3. Round b to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 33252348*f**3 - 109078020?\nAnswer: 99757044*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 82813?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5338080?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 l when three letters picked without replacement from kjeljklkjjlkjjlkjjl.\nAnswer: 80\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 15*n. Let w be j(1). Let b be w\/30*0\/(-1). Suppose 11*m - 5*m - 234 = b. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -524623*w**2 + 524623*w**2 - 6*w**3 + 3*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kzt when three letters picked without replacement from {z: 1, k: 1, t: 1, g: 6}.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 m when three letters picked without replacement from rzrmrmm.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 m, and 2 w when four letters picked without replacement from {r: 4, u: 1, f: 6, m: 1, w: 2, p: 1}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 1. Let g(h) = 2*h**3 + h**2 - 5*h - 5. Let t be g(-1). Let b(v) = -16*v**3 + 12. What is t*b(i) - 12*d(i)?\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ikibrirrrviivikbbfr. Give prob of picking 2 i, 1 r, and 1 k.\nAnswer: 25\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63735 and 273.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279508 is divided by 643?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2217 a multiple of 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 5981790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j - 2. Let b be u(-2). Let s be 135\/(-182) - b\/(-4). Let z = s + -4\/91. What is the nearest to -0.1 in -1, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 13.643, -3\/7, 3\/8 in decreasing order.\nAnswer: 13.643, 3\/8, -3\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 101839, 101837, 101835, 101833, 101831, 101829?\n\"Answer: -2*r + 101841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 5*f**3 - 5*f**3 - 3 - 8*f + 6*f**2. What is x(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.075, -124, 3, -1\/168?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 2*z = a - 4*a - 2*z + 5*z - 52, 16*z = 4*a for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -13*u**9\/504 - 19*u**6\/120 - 71*u**5\/20 - 206*u**2. What is the third derivative of x(d) wrt d?\nAnswer: -1560*d**3 - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22028184 divided by 7.\nAnswer: -22028184\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 878f0 (base 16) to base 8.\nAnswer: 2074360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i + 4*r + 104, -3*r = 4*i - 14*r + 74 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332*o = -2188 + 33064 for o.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 15, 0, -3, -5, -2 in ascending order.\nAnswer: -5, -3, -2, 0, 9, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8751?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(252)*-1*6)\/((sqrt(108) + sqrt(108)*2)\/sqrt(9)))\/((sqrt(693) - -5*sqrt(693)*-2)\/sqrt(11)).\nAnswer: 2*sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -4, -5.\nAnswer: -10, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7 and -0.069494.\nAnswer: -7.069494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -153 (base 11) to base 3\nAnswer: -20122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/665 and -16\/544635.\nAnswer: 544635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -26, -81, -170, -299, -474, -701, -986?\nAnswer: -1335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 8*f - 1. Let b be s(-8). Let q be 3\/3 + (-36826)\/b + 0. Is (-2)\/8 - q\/(-28) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*n - 758 = -623. Solve n*g - 15 = -3*o - 14, 4*o + 2*g - 20 = 0 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1005, -1006, -961, -846, -637?\n\"Answer: 4*i**3 - i**2 - 26*i - 982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-33*6\/(-108))\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 21 = 6*s. Solve 2*g = s*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 522\/(-45) + 53\/5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-33))\/((-62)\/(-682))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {o: 9, z: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 4:52 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 524077871 a multiple of 927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fpf when three letters picked without replacement from {p: 4, f: 3, d: 6}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 24. Calculate the remainder when 29 is divided by u(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -173) + (-1 - -1). Suppose -m + 8*h = 4*h + 9, 9 = 3*h. Suppose t + 4*t - 79 = -x, m*x - t - b = 0. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (593 - 593 - 18*w + (2*w + 5 - 5)*(0 + 1 - 3))*(-67*w + 11 - 11).\nAnswer: 1474*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -d - 4*s, 215*d - 213*d + 18 = -2*s. Let v(y) = -y**2 + y + 2. Let r(g) = 2*g**2 - g - 2. Calculate d*r(m) - 6*v(m).\nAnswer: -4*m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315 = -4*p + 419. Let s be 16\/(-104) - 126\/p. Put 2, 5, -3, s in ascending order.\nAnswer: s, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -15*d**2 + 90*d + 5. Let v(h) = -h**2 - h + 2. Let b(k) = -6*v(k) + z(k). Is 12 a factor of b(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*f**2 - 1434\/5*f - 171363\/5.\nAnswer: -3*(f + 239)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76447.95 years in decades?\nAnswer: 7644.795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.253 - 0.747. Let o = -174 + 695\/4. Let s = -4 + 3.8. Which is the closest to s? (a) y (b) o (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58508 is divided by 1243?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23307 - 5*b + 23307.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/1210)\/(((-11)\/((-231)\/(-42)))\/(-10)).\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 5*s**2 - 3*s - 1. Suppose 7*f - 2*f + k = 10, -5*f = 5*k + 10. Let x be c(f). Calculate the greatest common divisor of 72 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -381 and -389 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2 + 290*k - 3*k**2 - 2*k**3 - 290*k. Suppose -i = 2*b + 6, -2*b + 16 = -6*b - 4*i. What is q(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 2, -3, -5, 0, -34924 in ascending order.\nAnswer: -34924, -5, -3, -1, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 24*w - 585. Let x be v(25). Solve 42*t - 162 = x*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22385 divided by -37.\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.797 + -0.203. What is the closest to 2 in 2\/7, -0.5, -6, u?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 104 = b. What is the highest common factor of 26 and b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4722)\/(-8) + (-3)\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/555 and 3\/7*42\/(-60)*(-2562)\/(-126).\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 17\/5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 180 + -180. Suppose -s + f + 685 = -0*f, u = -4*s + f + 2755. What are the prime factors of s?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38*-0.2.\nAnswer: 7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(273)\/sqrt(7) + (sqrt(39) + (-4*-1*sqrt(39) - sqrt(39)) - sqrt(39)))\/((sqrt(63)\/(sqrt(3) + sqrt(48)))\/(2*sqrt(28))).\nAnswer: -20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 10 = p, 3*c - 8 = 4*p for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**1*g)**(12\/7) assuming g is positive.\nAnswer: g**(36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -175, -408, -759, -1288, -2055, -3120, -4543?\n\"Answer: -10*z**3 + z**2 - 166*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**3 - 1856*a**2 - 1742*a + 103824 = 0.\nAnswer: -927, -8, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 1.92. Let f = 2.92 + q. What is the third biggest value in 1, f, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by 40.\nAnswer: 23\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 365001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*1\/4*0. Which is smaller: k or 1\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 4*t = 12, -t - t - 9 = -3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-208)\/(-39) + ((-2)\/6 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - x - 2 = -w, -10 = 5*x. Suppose -b - 3*b + 8 = 0, w = 3*m + 5*b - 10. Suppose m = -l - l + 18. What is the remainder when 35 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 650*s - 641*s - 72 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -19*d**5\/60 + 5*d**4\/8 - d**3\/3 + 2*d**2 + 733*d. Let u(m) = -10*m**2 + 8*m - 1. Calculate 6*a(r) - 11*u(r).\nAnswer: -4*r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*v + 3*p - 0*p, -v = 3*p - 9. Are v and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 360, 714, 1054, 1374, 1668, 1930, 2154?\nAnswer: 2334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/62 - 207\/434. Let f = -2\/21 - d. Factor 1\/3*n**3 - f*n**2 + 0 - 1\/3*n + 1\/3*n**4.\nAnswer: n*(n - 1)*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 821, 820, 819, 818?\n\"Answer: -l + 822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131, 177, 227, 281, 339, 401?\nAnswer: 467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -24*(-21)\/(-2016)*36\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 3*d - 1 + 61, 5*w - 82 = -2*d. Let s(p) = -p**3 - p**2 - p - 1. Let o(v) = 5*v**3 - 14*v**2 + 5*v - 19. Let x(l) = o(l) + 4*s(l). Give x(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2256*0.071.\nAnswer: 160.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29560 and 56164?\nAnswer: 561640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**2 + y**3 - 6 - 5*y - 3*y**2 + 4. Calculate r(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 10*a**2. Let c(v) = -7*v**2 - 9*v - 9. Let j(i) = 3*i**2 + 4*i + 4. Let m(p) = -4*c(p) - 9*j(p). Determine o(m(f)).\nAnswer: 10*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - 112\/(-24))*21. Solve m + 3*g + v = 0, -2*m - 5*g - 22 = m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((-2*sqrt(90) + sqrt(90) - sqrt(90))*1)\/((-1*sqrt(18))\/sqrt(9)))\/(-3*(-6*(sqrt(99) + (sqrt(99) - (1*sqrt(99) - sqrt(99)))) - sqrt(99))\/sqrt(11)).\nAnswer: 4*sqrt(5)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77563268 divided by 19390817.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -7*l + 15. Let d be g(6). Let k = d - -31. Calculate the greatest common divisor of k and 40.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7111175 at least 7111181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -45*y + 15. Suppose -3*n - 8 = -14. Let o be i(n). Sort 2, o, -2, 0 in ascending order.\nAnswer: o, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 207, 473, 739, 1005?\nAnswer: 1271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255383 is divided by 40.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 8:46 PM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*j - 1508 = -815 for j.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 3*x**2 - 5*x - 8. Let g be d(-4). Sort 141, 4, g, 5 in descending order.\nAnswer: 141, 5, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17.2086 + 17.1386. Let p = 2 + -3. Put p, 4, l, -0.1 in increasing order.\nAnswer: p, -0.1, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 362509*z + 352582*z - 715090*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 + 152045*x**2 - 152060*x - 304100.\nAnswer: 5*(x - 2)*(x + 1)*(x + 30410)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 + 600*n**2 + 90597*n + 178802.\nAnswer: (n + 2)*(n + 299)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 2, l: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16\/43 + 178\/215. Which is the closest to -2\/3? (a) -1.1 (b) r (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-9)\/105*-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 583 a factor of 1143160975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/4)\/((-5)\/(-60)*-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 + -50. Let j be (-10)\/t - (-2)\/12. Let w be (0\/6)\/((-2)\/2). Which is greater: w or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of i**4\/6 - 58*i**3\/3 + 163*i**2\/2 + 5*i - 13. Find the first derivative of b(m) wrt m.\nAnswer: 4*m - 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1001 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -52*j - 38. Let k be y(4). Let x = k - -262. What is the lowest common multiple of 354 and x?\nAnswer: 2832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 2:56 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 10 = 4*c + 1, 5 = -5*c - 5*n. Let g = c - -69. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-30)\/18)\/1*-2055)\/(-1). Let z = l + 7966. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i + 0*i + 5*i)*(11974 + 905*i - 11972 - 325*i) as w*i + u*i**2 + s and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -4*g. Suppose g = -4*m + b + 3*b + 2480, m - 626 = 3*b. Suppose -11*x = -329 - m. Is x a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w + 37. Let h = 8 - 6. Suppose h*c - 5*c + 204 = 0. Calculate the remainder when c is divided by v(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 842288 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: Suppose 2*w**3\/9 + 340*w**2\/9 + 1302*w - 17020 = 0. What is w?\nAnswer: -111, -69, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (-10)\/(-2) + -1. Suppose -q + 11 = -i. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1475 - 1323 - 1070 - 1929)*(-2*w + 6*w - 2*w).\nAnswer: -5694*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3 - 7*r**2 - 2 - 2 + 3 wrt r.\nAnswer: -14*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 3550, -11?\nAnswer: 3550","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 4*f**2 - f + 1. Let z be (-2 + 6 + -3)*-3. Is b(z) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**2 - 19*w + 15. Let t(p) = p**2 - 6*p + 5. Let c(x) = -2*i(x) + 7*t(x). Let u be c(3). Solve -u*o = -0*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-6 - -6) - ((12 - 1) + -34).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**0\/n*n*n\/(n*n\/(n*n**3)))**(30\/11))**40)**(2\/69) assuming n is positive.\nAnswer: n**(3200\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u - 3. Let h be 7 - 12*2\/4. Let m(c) = -c. Calculate h*p(d) - m(d).\nAnswer: -d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ghgqhqggvvqqq. What is prob of sequence vgq?\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -5, -2\/9, 329, -0.1 in ascending order.\nAnswer: -5, -2\/9, -0.1, 2\/5, 329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12071 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 3441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 279 + -284. Let z = 0 - -0.1. Let m = 0.06 - -1.94. Which is the nearest to z? (a) m (b) s (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -34334\nAnswer: 6866.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 16*s - 158. Calculate c(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (1 - (3 + -1)). Suppose -6*r + 7 = -2*r - 3*g, -g + p = 4*r. What is the highest common factor of 4 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 9062128554?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -74 and -582.91?\nAnswer: 43135.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5901313?\nAnswer: 11, 293, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -545, -1098, -1687, -2330, -3045, -3850, -4763?\nAnswer: -5802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 10:58 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 39522804 a multiple of 1571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 10036?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8309 + 8310. Is h at least 10\/193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -97*m*t**3 - 2*m*t**2 - 4*m*t - 3*m + 194 with respect to t.\nAnswer: -291*m*t**2 - 4*m*t - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5393 is divided by 1325.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of b**7\/1995 + b**6\/570 + b**5\/570 - 39*b**2. Solve j(k) = 0 for k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 2) + (1040\/2 - 0). Let y be m\/44 + 6\/33. Let t(b) = 8*b + 12. Let d be t(y). Calculate the highest common factor of 54 and d.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 - 0.2. Let y(k) = k**2 + 117*k + 3111. Let d be y(-76). Let j be 17\/(-30) + (-4)\/(-10). What is the closest to j in d, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 196643164452 and 10?\nAnswer: 196643164442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 12*d**2 + 12*d - 6. Let f be m(11). Let v(i) = -f*i - 4*i + 2*i - i**2. Let z(t) = -t**2 - 30*t - 61. Let l be z(-28). What is v(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 12:46 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 27\/5, 0.0241, -2, 1?\nAnswer: 0.0241","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/795 (b) 0.31 (c) 18 (d) 1 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 0 + 16 = 0. Suppose -3*i + 56 = -4*o - o, -k*i + o = -103. Let j = 58 - i. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -97*t**7\/6 - t**5\/60 + t**4\/24 + 1157*t**3\/6 - 870*t**2 + 4. Find the third derivative of f(j) wrt j.\nAnswer: -81480*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -358, -444, -518, -580, -630, -668, -694?\n\"Answer: 6*t**2 - 104*t - 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -50*a - 50*a + 211*a + 141*a + 116*a in the form t*a + h and give t.\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 41*n - 204. Let o = -7 - -10. Suppose -o*g = 3*a - 15, -a + 3*a + 4*g - 12 = 0. Calculate the remainder when v(6) is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9710 + 7 + 4\/((-8)\/4)?\nAnswer: 5, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2 + 82*x + 168. Let t be k(-2). Let l = -19 - -24. Put t, -9, l, 2 in increasing order.\nAnswer: -9, t, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d - 4. Suppose -5*a + 15 + 23 = -4*i, -i - 3*a = 18. Calculate t(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -35 - 44 - 3*w**3 + 8*w**5 - 49*w**2 + 82. Let m(q) = q**3 - 1. Let u(k) = -2*f(k) - 6*m(k). What is the third derivative of u(s) wrt s?\nAnswer: -960*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -410 - -819\/2. Are b and -136 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2856010925.\nAnswer: 5, 127, 899531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 2*c + 19, -5*c = -2*c - s + 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 927\/(-60)*(-10)\/105. Let h = -9\/10 + t. Which is the third smallest value? (a) 0.1 (b) -2\/17 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3 = 3. Suppose c = -7*w - 5 + 5. Solve w = r + 6 - 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 30*o + 67. Suppose -3*p + 99 = -q, 7*p = 6*p - q + 29. Let v be t(p). Solve -4*g + v = -5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -9?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8310 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*d. Let i(q) = -q**3 + 2*q**2 + q + 2. Let z be i(2). Find the first derivative of -2 - z*c + d + 3*c wrt c.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*1*306\/(-15)*11\/22\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316 is divided by 75?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (12\/8)\/(6\/128).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = d - 5*w, 14*d - 24*d = -9*d - 3*w - 31 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**4 - 5*m**4 + 5*m**4 + 23*m**4 - 13*m**4 - 18*m**4 + (-2*m**4 - m**4 - 3*m**4)*(4 + 0 - 2) - 2*m**4 + 0*m**4 + 4*m**4.\nAnswer: -17*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/(sqrt(3) - sqrt(27)) - sqrt(72)\/sqrt(4)*-6)\/(sqrt(441)*-1 - sqrt(45)\/sqrt(5)*-5)*4.\nAnswer: -11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gafagafgfgf. What is prob of picking 2 a?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 140225.\nAnswer: 1\/28045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1)\/y)\/y**(1\/5))**(-2\/181) assuming y is positive.\nAnswer: y**(22\/905)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1012320 - 11?\nAnswer: -1012331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 657445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 2778885701 and 7304.\nAnswer: 2778893005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**5 - z**3 + z**2 + z - 1. Let u(f) = -7*f**5 - 7*f**4 - 59*f**3 - 145*f**2 - 86*f + 8. Let g(b) = 24*m(b) + 3*u(b). Let g(r) = 0. What is r?\nAnswer: -3, -2, -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15822 = -4*g + 5*w, -g + 3957 = -8*w + 6*w. What is the thousands digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 28*n**4 - n**3 - 65*n**2 + 5*n. Let t(d) = -29*d**4 + d**3 + 66*d**2 - 4*d. Let p(h) = -5*t(h) - 4*z(h). What is the third derivative of p(a) wrt a?\nAnswer: 792*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-72)\/(-60))\/(-3))\/((-39)\/(-15)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111000101000110101000 (base 2) to base 8.\nAnswer: -27050650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -1469, -39 in ascending order.\nAnswer: -1469, -39, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8506 - -8506.5. Which is the biggest value? (a) 2\/49 (b) 8 (c) 1\/8 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -33*a + 4000. Calculate w(130).\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22236737413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**3 + 148*l**2 - 160*l + 1016. Determine v(73).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 0 + (11 - 1). Let t = -12.4 - -19.1. Let c = -6.6 + t. Is c less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m + 35. Let j(l) = -l + 4. Let b(o) = 2*j(o) - y(o). Let h(g) = g + 9. Let k(x) = 2*b(x) + 7*h(x). Give k(17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 172156598 divided by -86078299\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -747757 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1394\/7 - 199. Which is the nearest to 8? (a) -1 (b) -2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -2*v + 14, 0 = -4*u - 2*v + 20 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.039 times -0.07?\nAnswer: -0.00273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13183533 - 1001925709\/76. Let l = 300 - k. Which is greater: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -165988, -331974, -497958, -663940, -829920, -995898, -1161874?\n\"Answer: h**2 - 165989*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2501200 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 146216660 + -2?\nAnswer: 146216655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o + 84*o**2 + 3*o - 96*o**2 - 2*o in the form y + d*o + i*o**2 and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 359 - 360. Let b(y) = -863*y + 40. List the prime factors of b(j).\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q + 4. Let z be a(-8). Let f be 4 - (-2 - -3*(-3)\/3). Let p be (-2)\/f + 10\/45. Sort -3, p, z in increasing order.\nAnswer: z, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8700145, -17400352, -26100549, -34800730, -43500889, -52201020, -60901117?\n\"Answer: y**3 - y**2 - 8700211*y + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + sqrt(190) + -2*(sqrt(190)*2 + sqrt(190) - sqrt(190)) + sqrt(190))\/sqrt(10).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*d**2*f**2 - d**2*m**2 - 4*d**2 + d*f**2*m**2 - 2*d*f*m**2 - 3*m**2 wrt f.\nAnswer: 30*d**2 + 2*d*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1481 by -1481.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4*z + 3)*(-2 - 3 + 3) - 539*z + 284*z - 621*z + (-2*z + 3 - 3)*(1 - 6 + 3).\nAnswer: -880*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) -44486 (c) -0.1 (d) -1 (e) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 10 + 8)*(-1 - m + 1)*(-5*m + 3*m + m).\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 241*k + 5862. What is y(-34)?\nAnswer: -2332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 6*r + 88. Give g(16).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -697\/49 - -99\/7. Let v = o + 73\/294. Which is greater: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1737420416.\nAnswer: 2, 67, 202591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 13*y - 121. Give x(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 67.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 19702.29 to the nearest 1000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11324987\/12411120 + -2\/155139. Find the common denominator of x and -33\/1880.\nAnswer: 3760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.4, -1, 5, 0.\nAnswer: -5.4, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/3 + 4790*c**2\/3 - 212212*c\/3 + 2339656\/3.\nAnswer: (c - 22)**2*(c + 4834)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kzzkzkzkkk. What is prob of picking 3 z and 1 k?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 + 421 + 1961 + 91 - 693 + 880*r.\nAnswer: -5*(r - 178)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*s - 0*s. Suppose -2*w - 2 + 8 = s. Solve -w*k = -k - 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l + 4. Let x be ((-1)\/((-4)\/(-10)))\/(125\/250). Calculate r(x).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71477821 a multiple of 3272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -788 (b) 3\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 164*f - 163*f = 44140, 14748 = x - 4*f. Does 52 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 1\/4*o + 5\/16*o**2 + 71 - 7\/24*o**3. Find h such that w(h) = 0.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**4\/17 + 728*z**3\/17 + 205722*z**2\/17 + 13507560*z\/17 + 211264200\/17 = 0.\nAnswer: -90, -23, 567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/705 and -27\/470.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 11) to base 9\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -5. Suppose -g = 4*z - 13. Suppose 0 = -o + 1, -z*w + 0*w + 13 = o. Let u(n) = -n**2 + 7*n + 2. Determine u(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -499.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 4*q - 3*q + 375, -2*v - 198 = 4*q. Let r = v + 109. Calculate the greatest common factor of 128 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 229 in -15\/2, -1\/3, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2 - 19*d - 4. What are the prime factors of c(14)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 + 729780*z.\nAnswer: 3*z*(z + 243260)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 96*v**2 + 45*v. Let w(x) = -480*x**2 - 216*x. Let f(g) = -24*b(g) - 5*w(g). Let u(m) = -m + 7*m - 4*m. Calculate f(u(a)).\nAnswer: 384*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1337 and 71779519?\nAnswer: 1337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/5)\/s**(-6))\/((s**6\/s)\/s**(-1\/2)) assuming s is positive.\nAnswer: s**(11\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/2 - 50\/(-4). Suppose 173 = -29*p + 173. Suppose -n = -s - 2*s, 2*f - s - 28 = p. What is the greatest common divisor of 64 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11170, -19627, -28086, -36547, -45010, -53475, -61942?\n\"Answer: -p**2 - 8454*p - 2715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -1\/4, 6\/77, 0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(4 + -2*sqrt(175) - -6*2*1*sqrt(7)))**2.\nAnswer: 16*sqrt(7) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 81.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.84646 millennia?\nAnswer: 8.4646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2754 and 12.\nAnswer: 5508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -5*n, 5*k = -4*n + 9 + 4 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -11*z + 2. Let c be o(-10). Suppose -c = 2*u - 4*u. Does 24 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 - -71. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q - 3*o - 13 = -16*q, -3*q + 18 = -3*o. Is 12890 + q - (-10)\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54858 and 5986?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1065545310 and 0.5.\nAnswer: -1065545309.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.178081 rounded to 2 dps?\nAnswer: -12.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 n, and 1 o when three letters picked without replacement from oglznkg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 7*b**2. Let r = -14 - -16. Suppose -5*k - 19 = r*d, -5*d - 60 - 28 = -k. Let o = 18 + d. Give y(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 2 - (2 + (-7)\/(-7))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95163 is divided by 47237?\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2.40914098+0.2\nAnswer: -2.20914098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 6*p - 4. Let q be n(1). Let j(m) = -m - 13. Let b be j(-15). Let w(u) = 2*u**q - b*u**2 - u**2. Let d(i) = -20*i + 3. Give w(d(x)).\nAnswer: -400*x**2 + 120*x - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-18)*q*q\/(q*q*q*q**16)*q*q assuming q is positive.\nAnswer: q**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = i - 5*w, 2*i + 3*w + 14 - 1 = 0. What is the closest to 1\/2 in 3\/4, -8.22, -3, i?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*h**3 + 98*h + 96*h - 293*h + 97*h.\nAnswer: 11*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*s = -132*s - 42. Let t(o) be the third derivative of 3\/2*o**s + 0 - 5*o**2 - 1\/3*o**4 + 0*o. What is the derivative of t(r) wrt r?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - u + 45. Calculate p(0).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.015 + 0.215. Which is the third smallest value? (a) d (b) 3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 9 + 5 + -16.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 16*q**2 - 74133*q - 1260577. Calculate r(-17).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 14140331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 29, 22, 11, -4?\n\"Answer: -2*x**2 - x + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2196 - -2196.3. Let r(z) = z**3 - 7*z**2 + 7*z - 7. Let l be r(6). Let d be 1\/(-3) + l\/(-12). Which is smaller: d or s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(0 + 1 + 1)*(l - 8*l + 3*l).\nAnswer: 16*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 31. Suppose -74*z - 174 = -840. Determine q(z).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 284, 21, -259 in descending order.\nAnswer: 284, 21, -259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 124895 and 683?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 24 = 20. Let o(k) = k**2 + 10*k + 8. Let a be o(p). Suppose -5*d**3 - a*d**2 + 4*d**2 + 5*d**2 - 5*d = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-24)*1\/2*-9. Let c = -1 + 1.5. What is the biggest value in 3\/4, m, c?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 - (10 + 0 + -26017) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 - 57*c - 357. Give m(34).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 102\/(-14) - 2\/(-7). Let x = m + 21. Let v = x - 11. Solve 0 = -2*y + v*i - 14 - 2, 3*y = -i - 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -84.9166 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of m**7\/168 - m**6\/30 - m**5\/80 + m**4\/12 + 2*m + 76. Suppose n(i) = 0. What is i?\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -24, -31, -38, -45?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 minus -34668228323361?\nAnswer: 34668228323360.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43677, 87331, 130965, 174573, 218149, 261687?\nAnswer: 305181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - f**2)*(2 + 2 - 2) + 2 - 2*f**2 - 2 + (0*f - f - 2*f - 1)*(-3*f + 3 + 4*f + 9)*(26 - 31 - 54) to the form j + q*f**2 + y*f and give j.\nAnswer: 708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -3. Suppose n = -o + 3*a - 4, 2 = -3*a + 5. Calculate the least common multiple of o\/2 - (-58)\/4 and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -80*(-4 + (-64)\/(-20)). Let a = -64 + b. Suppose 2*r + 2*r - 57 = -h, -4*h + 20 = a. What is the greatest common divisor of 52 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 14*f**2 - f - 3. Is v(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7302.678 decades?\nAnswer: 730.2678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26.03827 + 0.03827. Sort 0.3, 2\/9, q, 1\/2, 5 in decreasing order.\nAnswer: 5, 1\/2, 0.3, 2\/9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 207.241*-0.33.\nAnswer: -68.38953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19243535 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46100, -92194, -138288?\nAnswer: -184382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -47*z**3 + 3*z. Let b(a) = 752*a**3 - 47*a. What is 3*b(y) + 47*w(y)?\nAnswer: 47*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 994141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gsuuggggqgsessks. What is prob of sequence kq?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -v**6\/120 + v**5\/30 + v**4\/12 + v**3\/6 - v**2 + 3. Let w be k(-1). Solve 5*n - 1 - 1 = 2*m, -w*m = -2*n + 2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + (4 - 5) - 1) + 10 - 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-48)*2*1. Let p(d) be the first derivative of 0*d**3 + 0*d + d**2 + 0*d**4 + 0*d**5 + f*d**6 - 2. What is the second derivative of p(s) wrt s?\nAnswer: 60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 129, 108, 87, 66, 45?\n\"Answer: -21*s + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10220100 (base 3) to base 2.\nAnswer: 101100011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 67\/13 + 0 - 40\/8.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -504301 - 22?\nAnswer: -504323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z - r + 14, 3*r = 5*z - 2*r - 20 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210*r + 1272 = 222. Solve -r*y + 30 = -20*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 2*d - 23969 - 46903, 0 = 4*h - 5*d - 94542. What are the prime factors of h?\nAnswer: 2, 3, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 64*o - 2*o - 282*o + 6*o + 86*o as h*o + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c**2 - 9*c - 9. Let s be l(-7). Let u = s + 132. Calculate the remainder when u is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1276187 or 1276185?\nAnswer: 1276187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 2514302885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 9, b: 5, q: 2}. What is prob of picking 2 b and 2 y?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -2187845 and -2187846 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + u = -38, 5*u + 205 = 4*n + 51. What is the remainder when n is divided by ((-8)\/(-6))\/((-2)\/(-33))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = w + 6*a + 10, 2*a = -4*w. Suppose 0 = -w*d - 4*i + 24, 2*i - 1 = 9. Solve -2*q**2 + q**d - 3*q**3 - q**5 - 3*q**4 + 0*q**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 16*q**2 - 17*q**2 + 0*q**2 - 36*q**2 - 18*q**2.\nAnswer: -55*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 230, 461, 696, 935, 1178, 1425?\n\"Answer: 2*s**2 + 225*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 8*k**2 - 10*k - 15. Let y be d(-6). Let p = y + 52. Solve -3*s - 1 - 15 = 4*h, -5*h - 5*s = p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by 23534478?\nAnswer: 4\/3922413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 20 - 2?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 136748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -154*x - 20. What is the units digit of r(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61663169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (8 + -5 + 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-57)*(-52)\/(-182).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w - 11. Let z be (-19 - -11) + 0\/(-2). Let r be n(z). Suppose r*p - 7*p = -12. What is the smallest common multiple of 8 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 53094737*m. Let t(a) = 2*a**2. Determine t(i(s)).\nAnswer: 5638102194198338*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4 + (sqrt(13) + sqrt(325))*-5 + 3 + 2)**2.\nAnswer: -660*sqrt(13) + 11821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -581*s**3\/3 + 199*s**2\/2 - 299. What is the second derivative of d(h) wrt h?\nAnswer: -1162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22.8 - -22.9. Let p = -819 - -824. Which is the closest to s? (a) 4 (b) -1\/2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.14 - -0.15. Let z = t + -0.11. What is the closest to z in -6, -1, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - o - 1. Suppose -5*l - 3 = -2*l. Calculate s(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 3:43 AM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 minus 2177784101427?\nAnswer: -2177784101440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26.9 + 27. Which is the closest to h? (a) -2 (b) 0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 - -54142551?\nAnswer: 54142563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zd when two letters picked without replacement from yyiydziyitig?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11527?\nAnswer: 11527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**3 + 17*b**2 - 8*b - 12. What is n(8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 15*o**2 + 17*o + 34. What is r(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*p = -2. Suppose 1 = p*a - 3. Suppose -m - 83 = -a*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45738.196 + -45857. Let h = z + 119. What is h rounded to 2 dps?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 14*s**2 + 13*s + 5. Let h be f(-13). Suppose 5*i + h*g - 110 = 35, -5*g - 35 = -i. Calculate the remainder when i is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16524)\/(-24480)*((-25)\/(-36))\/5?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/8)*g*g*(g*g*g**(-2\/17))\/g*(g*g\/g**(-2\/3))**(-1\/7) assuming g is positive.\nAnswer: g**(6787\/2856)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + 24*y - 28*y + 2, y + 2 = 2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(-2*sqrt(384)) - (sqrt(684) - ((1*sqrt(684))**2 + 5)) - (sqrt(171) - -6*(2*sqrt(171) + sqrt(171)) - sqrt(171))\/(-3*sqrt(225)).\nAnswer: -389*sqrt(19)\/80 + 689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -8294 - 10914. Does 40 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/16893 or 0?\nAnswer: -2\/16893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00179397228 rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3780019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -21, -223 in increasing order.\nAnswer: -223, -21, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*p**2 - 10072*p**3 - 10069*p**3 + 20140*p**3 - 16 in the form r*p**2 + o + l*p**3 + q*p and give r.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10444 + 5?\nAnswer: -10436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3798.808nm?\nAnswer: 3.798808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92500876.\nAnswer: 2, 13, 17, 104639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1625, 1608, 1577, 1532, 1473?\n\"Answer: -7*v**2 + 4*v + 1628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 169 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 s when two letters picked without replacement from sng.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g\/(g**(1\/2)\/g))*g))**(9\/4)*(g**(1\/4))**(-30) assuming g is positive.\nAnswer: g**(-51\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 477595 and 1623823.\nAnswer: 8119115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 568964 is divided by 353?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -160.3 + 154. Let q = -6 - o. Let g = -0.4 + q. What is the smallest value in g, 0.5, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3\/5, -570.2, 2\/5, 0, 16.7, -2\/11?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 179.7064t to grams.\nAnswer: 179706400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 654 - 650. What is the remainder when 47 is divided by o\/(-38) + (-1245)\/(-95)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 69*b**2 + 12*b - 111. List the prime factors of i(4).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21*(4\/(-40))\/(81\/(-135))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 5*b**2 + 10 - 2 - 18*b - 4*b**2 + 11. Calculate the remainder when (-272)\/(-5) - (-2)\/(-5) is divided by j(18).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7286563.\nAnswer: 659, 11057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*n*o**3 + 177*n*o - 5*n - 209970*o**3 wrt n?\nAnswer: -7*o**3 + 177*o - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t + 24 = -6*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 24 = -p. Suppose -25 = 2*n + 3*n. Let u(i) = -i**2 - 5*i + 3. Let a be u(n). Solve -a*q + 0*q = p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 1:03 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 28\/21 - (-4)\/6. Suppose -15 + 2 = -3*l - h*d, -4*l - 2*d = -18. Suppose l*w = w + 716. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*q**3 - 458*q**2 - 457*q**2 + 31*q - 462*q**2 - 461*q**2 + 1 + 1836*q**2 to l*q + n + f*q**3 + b*q**2 and give l.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -1. Let j(y) be the second derivative of -3*y**5\/20 - y**4\/3 - y**3\/6 - y**2\/2 + y. Is j(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 2*t - 99 = -p, 0 = -2*t. Does 17 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 6 = 3*x. Suppose 5*d = 3*d. Solve d = -4*i + 1 + x for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 6*u**2 - 7*u - 1. Let b be z(-6). Suppose 2*k - b = -11. What is the highest common factor of 10 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*z + 35 = 0, -2*q - 215*z = -211*z - 10. Let o(r) = r**3 - r - 1. Let w(u) = 3*u**3 - 4*u - 5. Determine q*o(f) + w(f).\nAnswer: -2*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 r when four letters picked without replacement from kppkrcrcrchcpprpccr.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 49 = -2*r, 2*r - 5*r + 73 = -n. Let s be (-108)\/r*8\/(-3). Let x be (-18)\/14*8\/s. Is x > 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 6*j**2 + 4*j - 20. Let c be d(6). Let r = -24 - -31. Let n be (2 - (r - -2))*1. Put n, c, -1 in decreasing order.\nAnswer: c, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -6*o**2 - o. Let n(h) = h**3 - 3*h**2 + 2*h + 1. Let k be n(2). Let w be j(k). Let i = 0 - w. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 19\/152 - (-46)\/16. Suppose t*d = -d + 8. Solve u = 2*u + d for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -217896*y**2 - 4*y. Let z(w) = 192*w**2. Give a(z(v)).\nAnswer: -8032518144*v**4 - 768*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1\/j)\/j**(1\/5))**11 assuming j is positive.\nAnswer: j**(-11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70579?\nAnswer: 163, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -890498*i**6 + 2*i**3 + 2147608*i**2 wrt i?\nAnswer: -106859760*i**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -172, 5, 52, -5, -1.\nAnswer: -172, -5, -1, 5, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100110101101101110 + -10000001?\nAnswer: 101100110101011101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*s + 240 = 22*s. Let x(v) = 3*v**2 + 23*v - 2. Let z be x(s). What is the highest common divisor of z and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2664)\/3108*(-4)\/42\nAnswer: 4\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76.03448 minus 17808?\nAnswer: -17884.03448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-28 - -6 - -11 - -32) + -46\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2586 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = s + 3*s. Let t = -12 + 41. What is the remainder when t is divided by (-18)\/s*(-10)\/3?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1703 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -7*m**2 - 2*m - 1. Let i be r(2). Let d = -15 - i. What is the remainder when 34 is divided by d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 10*c**2 + c + 12. Let g be u(-10). Suppose 3*r - 5*f - 13 = 0, 0 = 5*r - g*r + 2*f + 1. Is 27 a factor of 1 - -56 - (2 + r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from snsssssssisssss. What is prob of picking 1 n and 3 s?\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -13*r**2 - 3*r - 4. Let f(x) = 140*x**2 + 32*x + 44. Calculate -3*f(j) - 32*h(j).\nAnswer: -4*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -2. Let q be (-2)\/13 + (-1206)\/(-234). Sort q, -1, s in descending order.\nAnswer: q, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 1. Let u(t) = 2*t**2. Let k be u(1). Let l(n) = -5 + 4*n + 3*n**2 - 4*n**k + 0*n**2. What is l(z)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**2*r*r**7*r**(2\/5)*r*r*r**(-5) assuming r is positive.\nAnswer: r**(37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -341 + 331. Is v at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212110000111 (base 3) in base 16?\nAnswer: -70a9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 913, 915, 917, 919, 921, 923?\n\"Answer: 2*p + 911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1037*38\/(-3792) + (-458)\/687. Let b be 0 + 2 + (-653)\/316. Let c = k + b. Calculate the common denominator of -95\/16 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.5 from 3.13795.\nAnswer: -0.36205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*b**2 + 1312*b**4 - 40*b**2 + 30*b + 21*b**2 wrt b?\nAnswer: 31488*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5\/193 + -421\/1351. Which is the nearest to -0.3? (a) 0 (b) y (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1143 a factor of 11755755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29344707.\nAnswer: 3, 7, 139, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*r**4 - r**3 - 458*r**2 - 10983*r wrt r?\nAnswer: -120*r**2 - 6*r - 916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/3, 122, 0.2, -5, 2\/27?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/15)\/(35\/(-25)). Sort 6, o, -2\/9.\nAnswer: -2\/9, o, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -158159*1.\nAnswer: -158159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2060 is divided by 106?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24363.\nAnswer: 3, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*h, -5*h = -4*l - 247 - 1282. Let g = 381 + l. Solve -c + 5*p = 11, -4*c - 3*p + g*p = 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -197*i**2 + 199*i**2 - 2*i + 1 + 3 + 4*i. Suppose -7*x - 32 = 10. Let l(u) = 2*u**2 + 2*u + 3. Suppose 2*g + 2*g = 20. Calculate g*k(r) + x*l(r).\nAnswer: -2*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 7*v = 21. Solve -2*s - 2*r = 0, v*s + 2 = -4*r + 3*r for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 9*h**2 + 64*h - 39. Calculate the remainder when 3641 is divided by m(-14).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.0414127 to zero decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 5*s**3 - 135*s - 270. Let u(v) = -5*v**3 + 135*v + 270. Let q(n) = -6*p(n) - 5*u(n). What is k in q(k) = 0?\nAnswer: -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 405 a factor of 12156701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9742496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 361 divide 45189980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -151 != 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 a factor of 3370590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 6*f - 10 + (f - 2*f + 2*f)*(9 - 11 + 1) to z + u*f and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 15 - 1 = -m, 0 = -5*m - 2*c - 1. Suppose -m = -k - 3, 33 = 3*f - 3*k. Is 10 a factor of (f\/6)\/((-121)\/(-60) + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -33*u**4\/4 - u**3\/3 + u**2\/2 + u + 1. Let j = -189 - -188. Does 16 divide q(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8305 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.174 < 36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 103\nAnswer: -4\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 0, 68370 = -6*g + 8*g - 5*o. Suppose -g = 56*q + 7871. Round q to the nearest 10.\nAnswer: -750","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 493858, 43 in increasing order.\nAnswer: -1, 2, 43, 493858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 12*k - 7. Let r be y(-13). What is the remainder when 54 is divided by -3*15*(4 - 26\/r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 - -34. Let c(k) be the first derivative of 0*k**5 - 2\/3*k**6 + 1 + 0*k**4 + 1\/2*k**2 + d*k + 0*k**3. What is the second derivative of c(b) wrt b?\nAnswer: -80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s + 3 - 3 + s - 2*s - s - 2 + 2 - 3*s + (0*s + s + s)*(-3 + 2 + 2) + 2*s - 3 + 3 + 0 + 0 - 2*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -41015548.34 plus 0.6?\nAnswer: -41015547.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 423228 and 3536?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7239.20827 rounded to the nearest ten?\nAnswer: -7240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 3*z**2 + 2*z - 4. Calculate v(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 2*a = -11*x + 1158, -x + 5*a + 267 = 0. What is the highest common divisor of 1825 and x?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n - n**3 + 44*n**2 + 7 - 42*n**2 + 2*n in the form t + f*n + v*n**2 + q*n**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k**2*r**3 + 2*k**2*r**2 - 78433773*k - 670182*r**4 - 198*r**3 + 2*r**2 wrt r.\nAnswer: -12*k**2 - 16084368*r - 1188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4*l**3 + 18*l**2 - 4*l. Let r(k) = -4*k**3 + 17*k**2 - 3*k. Let h(j) = -3*f(j) + 4*r(j). Find the third derivative of h(w) wrt w.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154293.\nAnswer: 3, 51431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 648197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - -1)\/1 + 3. Suppose -8 = r - s. Let v(d) = -d**2 - 4*d. Give v(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5*p + p + 18, -4*r + 15 = -3*p. What is the third derivative of 3*c**r - c**4 - 6 + 190*c**2 + 3*c**6 + 3 - 180*c**2 wrt c?\nAnswer: 720*c**3 - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 76928 and 136.\nAnswer: 1307776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20033479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - l. Let d(m) be the first derivative of -2\/5*m**5 + 0*m**2 - 1 + l*m - 2\/3*m**3 + m**4. Factor d(f).\nAnswer: -2*f**2*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6617 divide 532350884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 203293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1741 - 2?\nAnswer: 173a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6979 + 12287. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/240088 and -87\/16.\nAnswer: 480176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-3*sqrt(65)*5*-5)\/(-6*sqrt(500) - sqrt(5) - sqrt(35)\/(sqrt(70)\/sqrt(10) + sqrt(7))).\nAnswer: 250*sqrt(13)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -o**3\/6 + 71*o**2\/2 - 96*o. Let q be y(23). Calculate the greatest common divisor of q and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence twt when three letters picked without replacement from {w: 2, q: 2, t: 7}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*6\/10*5)\/((-14)\/14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71267?\nAnswer: 7, 10181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 3*f + 6. Let j(u) = f*u + 11*u + 35*u + 1. Is j(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2 + sqrt(2)))**2 - (sqrt(16)\/sqrt(288) - sqrt(2)).\nAnswer: -211*sqrt(2)\/6 + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164032*n - 2655 = -163987*n for n.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/11, -8, 1, 163, 15, 2\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92 and 10588?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7996 is divided by 6068?\nAnswer: 1928","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and 1.57863.\nAnswer: -3.42137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11093.004997 - 11093. What is d rounded to 4 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214155 is divided by 148.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22509, -22435, -22351, -22251, -22129?\nAnswer: -21979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - 0.2. Let c be (-4)\/(6\/(-9)*6\/(-58)). Let b = c + 49. Is v > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9440 divided by -59.\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355689 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 816 = 5*s, 0 = -6*z + z + 20. Let n = -225 + s. What is the units digit of (11 - n)*(-1)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000093021 rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33*d**4 + 2*d**3 - 148*d**2 - 47*d - 10057861 with respect to d.\nAnswer: 132*d**3 + 6*d**2 - 296*d - 47","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-269498*w + 5 - 4 + 269740*w)*(3*w - 5*w + w)*(-3 + 1 + 0) in the form h*w**2 + j + m*w and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 434017 or 434014?\nAnswer: 434014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 98721373 + -4343935715\/44. Let o = 4438 + z. Calculate the common denominator of o and (-12)\/(-30)*(-365)\/16.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 13, o: 3, e: 2}. Give prob of sequence oeee.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2\/1477, -0.1 in descending order.\nAnswer: 0.4, -2\/1477, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(128) - (2 + sqrt(128))**2)) + 3 + sqrt(2) + 2 + -4.\nAnswer: 26*sqrt(2) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rxxxrxxxrxxxxrxxxxx. What is prob of sequence rr?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from fffffjfffffjfffjjjff?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + 3 + 83\/(-3)*-3 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16409 - 386*s**2 + 912*s**2 - 525*s**2 in the form k*s**2 + y*s + l and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1911 to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)\/sqrt(12))\/((-1*sqrt(6))\/sqrt(3)).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47 - -50. Let g(v) = -29*v**4 + 2*v - 21. Let c(p) = -30*p**4 + 3*p - 22. Let o(m) = j*g(m) - 2*c(m). What is the derivative of o(h) wrt h?\nAnswer: -108*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(560\/(-5736)) - -4*3\/56?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18113.6077 + -5.\nAnswer: 18108.6077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(77)*3)\/(sqrt(88)\/(sqrt(16)\/sqrt(2))).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 1580429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -58 + 60. Suppose 0 = -5*v + 5 + 5. What is the second derivative of 0*j - 2*j + k*j**v + j**2 wrt j?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**2*s*w**5 + c**2*s*w + 2*c**2*w + 148*c*s*w - 2512*s*w**5 wrt w.\nAnswer: -20*c**2*s*w**3 - 50240*s*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*a + 560*a - 15330 = 0 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/445 - -2229\/890. Factor p*o**4 + 0*o - 1\/2*o**3 - 1\/2*o**2 + 0 - 3\/2*o**5.\nAnswer: -o**2*(o - 1)**2*(3*o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-293 - -58 - -252) + (-1 - (-1 - 16))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 6*k**2 - 2*k - 3. Let g = -353 + 348. Calculate n(g).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1415650?\nAnswer: 2, 5, 23, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((30*14\/245)\/((-6)\/(-28)))\/(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 9:16 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3454*f**3 + 2*f - 3301*f**3 - 138*f**3.\nAnswer: 15*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22231?\nAnswer: 11, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m*m**(15\/4))\/m**13*m*m*((m*m**(3\/11)*m)\/m)\/m*m**23)**(-4\/7) assuming m is positive.\nAnswer: m**(-837\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*o**3 + 77*o**3 - 163*o**3.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -5, 869?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10786 is divided by 10691?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 146*y**2 - 1 + 289*y**2 + 14*y + 10*y + 12*y - 38*y to the form x*y**2 + u*y + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -209.84 + 268.1. Let s = -68.8 + y. Let o = s - -0.54. Which is bigger: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-80)*-24 - (-110)\/(-38)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3332664 and 9396?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -0*k + k + 22, -2*k = -5*h + 116. What is the highest common factor of h and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*h + 21456 = 177*h - 25959. What is the remainder when h is divided by 52?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 49 - -2a4aa69?\nAnswer: 2a50007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 3, 47, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -9. Let m(x) = 2*x**2 - 2 - 4*x**2 + 4*x**2. What are the prime factors of m(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (441432\/228 - 1) + (-4)\/38. Solve 2*c + w = 1945 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3361284 = -12*z, -z + 2*a = -14410 - 265688. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 14, 1124 in decreasing order.\nAnswer: 1124, 24, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of 0 + 0*i + 0*i**4 + 0*i**6 - 3\/2*i**3 + 77*i**2 - 17\/210*i**7 + 0*i**5. Differentiate z(n) wrt n.\nAnswer: -68*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*j - 1. Let w = -616\/635 + 174\/127. What is the second smallest value in 5, j, w, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.18 - -0.08. Let l = 5.5 - 6. Let b be (-4)\/(-14) - (4 - (-1005)\/(-280)). What is the closest to a in -0.1, l, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 228736 - 56259. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2006, -15375, -51666, -122339, -238854, -412671, -655250, -978051?\n\"Answer: -1910*d**3 - d**2 + 4*d - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/521 (b) -1 (c) 0.3 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**(-1\/3)\/((v**(-4)\/v*v)\/((v\/v**(-3\/2))\/v)) assuming v is positive.\nAnswer: v**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 2)*(-907 - 1173 - 546 + 212 - 804 + 5*l) to v + x*l and give v.\nAnswer: -3218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqofafoqofoqoqff. What is prob of picking 2 q, 1 a, and 1 f?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p. Let l be q(-6). Suppose 0*v + v - l = 0. Let h(j) = 2*j - 4. Calculate the lowest common multiple of v and h(21).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/(-6) - 2\/(-3). Suppose -h - m*h = -20. Suppose 314 = h*z - 2. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 225489 - -75530. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -1 + 0*f + 1\/2*f**2. Let v(z) = -9*z**2 + 2*z. Let r(y) = 4*y**2 - y. Let k(c) = 2*r(c) + v(c). Give u(k(b)).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 8. Let y(z) = -1. Let t(m) = 3*b(m) + 24*y(m). Let h(a) = -134*a**2 + 45*a**2 + 50*a**2 + 42*a**2. What is t(h(r))?\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -74 - -81. Let p(o) = -4*o**2 + o**3 + 7 - 3*o**2 + 3*o - o. What is the tens digit of p(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 26219905951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-462)\/(-1617) + (-429572)\/(-14).\nAnswer: 2, 3, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 2:22 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111010001011101101 (base 2) to base 8.\nAnswer: 2721355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lj when two letters picked without replacement from ppppppppppjpplljjp.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from ssssssiissssiss.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i + 3*i + 0*i - 3*i + 2. Let t be j(-2). Suppose t = -0*c - c + 81. Calculate the greatest common factor of 9 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, y: 3, b: 3, p: 3, h: 2, j: 1}. What is prob of picking 1 p and 1 a?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19834 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 46 = 48 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = -3*u + p + 47, -5*u - 4*p - 38 = 0. Let b = -3 - u. Suppose -3*g = -b*g + 16. What is the greatest common divisor of 20 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 10, h: 9}. What is prob of sequence jhj?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 12:36 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**2 + 5*h + 3. Let c(u) = -10*u**2 + 164 + 173 - 328 + 15*u. Let q(p) = 2*c(p) - 7*i(p). Calculate q(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*p + 22 = 0, -p - 4*p = -25. Suppose u - 44 = -a*u. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c - -3b?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1\/5)\/v*v)**(2\/13)\/(v**(1\/5))**(-2\/15) assuming v is positive.\nAnswer: v**(146\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mcsywqc. Give prob of sequence ms.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/5))**(-23)*q*q\/q**1*q*q**5 assuming q is positive.\nAnswer: q**(-11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 5*v - 59 = 0, -5*u - 4*v - 13 = 13 + 17 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - 0. Let g be (-1)\/(-2)*(-16)\/24. Let w = 2.9 + 1.1. Which is the nearest to g? (a) w (b) r (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-4)\/(-16)*1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/49*(-28)\/12.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 19*m**2 - 2*m + 33. Let a be d(19). Let b(u) = -u**2 - 26*u - 88. Let r be b(a). Solve -4*v - r = -1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - b**4 + 12*b + 20*b - 2*b**2 - 6*b**3 + 13*b - 2*b**3 as v + p*b**2 + c*b**3 + k*b**4 + i*b and give i.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of 61*x**6\/12 + 911*x**3\/6 - 10*x**2 - 18. Differentiate n(s) wrt s.\nAnswer: 1830*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, u: 7, i: 3}. Give prob of picking 1 e and 3 u.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*q**2 - 10 + 2 + 8.\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 104\/130 - 1\/((-5)\/338001) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**3\/9 - 64192*h**2\/3 + 6104194*h\/3 - 18120004\/9 = 0.\nAnswer: -96383, 1, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5192.031 millennia to decades.\nAnswer: 519203.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2930 - -3194. Is q a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 + 6 = 27*q + 434*y - 436*y, -y = 5*q + 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 26 = 3*y, 5*y + 2*g - 53 = -g. Suppose 0 = -k + 6*k - y, 5*k + 2 = 3*a. Let z(m) = 2 + 2*m - 3 - m**2 + 2*m. Determine z(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32274 divided by 163.\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -44060 (base 10) to base 15\nAnswer: -d0c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u**2 - 7*u**2 - 12*u**2 + 26*u**2 - 13*u**2.\nAnswer: -13*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8755)\/(-51)*-37*111\/(-6845).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 346 less than -791044430?\nAnswer: -791044776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.34 - -2.56. What is c rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4666 (b) -1 (c) 2567.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5*f = 3*c - 11, -4*f = 5*c - 11. Let a(l) be the first derivative of 3 - 1\/3*l**c + l**2 - 1\/4*l**4 + l. Determine a(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 4 (b) 10 (c) -17\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 128 - -5.2.\nAnswer: 133.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 16*m**2 - 1157*m - 3593. Calculate a(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of n**2\/2 + 12*n + 5. Calculate d(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -48*o**3 + 767*o**2 + 7*o + 130. Calculate i(16).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3300580*h*s*w + 145*h*s + 6*h + s - 168 wrt w.\nAnswer: 3300580*h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*i + 6, 0*p + 3 = 3*i + 2*p. Suppose i*q = -q. Suppose q = 4*m - 4*d - 612, 5*m = 2*d + 134 + 619. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7202*b**2 + 48863*b**2 - 41648*b**2.\nAnswer: 13*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*p + 6*p - 5*p)*(2 + 1 - 4) + 4*p - 3*p - 2*p + p - p + p + (0 + 1 + 0)*(-2*p + 0*p + 0*p) - 4 + 4 - p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**4 + 40*j**3 - 45*j**2 = 0. What is j?\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -229187 by 29.\nAnswer: -7903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 210\/(-525)*(-30)\/(-9)*(-1)\/((-6)\/(-10))?\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -5.4. Let j = 7.6 - z. Let p = j + -8.925. Round p to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 14. Let q = -6 - y. Which is the second biggest value? (a) 5 (b) -1\/4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 15*v**2 + 2*v + 20. Suppose -3*s = 2*s - 2*f + 69, -5*s = -f + 72. Calculate x(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/14 + (-6)\/(75\/25))\/(1680\/392)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8 times 0.09\nAnswer: 0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 333547 and 843?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 972 is divided by 427.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o - 12. Let w be a(6). Let n be (-4 + w)\/(0 + -1). Solve -4*p - 3*g = -19 - n, g = 5 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5608 = -2191*t - 28279 - 47441 for t.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*k + 16, -5*k - 7 = n - 3*n. Let r = n - -45. Calculate the remainder when r is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 18 - 14)*(9*t**2 - 9*t**2 - 17*t**2).\nAnswer: 323*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 18 + 186. Let j = 110 - i. Let o(b) = 4*b + 2. What is the least common multiple of o(3) and j?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 253417 - 103958. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 908185.\nAnswer: 5, 67, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 5*a**2 + 2*a - 4. Let d be q(5). Suppose 49 - 9 = -4*u. Let t be 6 + (u\/(-4) - 2). Is d < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 28, 25, 8, -29, -92?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70*b - 110*b - 344*b to z*b + m and give z.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 273 and 637.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14383 by 29801.\nAnswer: 14383\/29801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - -1. Let q be 0\/((174\/(-30) + 7)*(-40)\/(-12)). Solve -h*m + 3*m + 15 = q for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8211.438 to the nearest integer.\nAnswer: 8211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 4*g = -9*g + 229, 3*g = -4*h + 69. Calculate the lowest common multiple of ((-24)\/9)\/((-1)\/6) and h.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/2146 and 7\/11.\nAnswer: 23606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 - (-1 - 0)\/1. Let s = p - -10. Let u = 49 - 24. Solve -s*i - u = -i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*p + 10 + 47 = 99. Solve -p*d = 2*d - 2*v, -5*d = 3*v for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 74 = -3*x, -2*b + 36 = -3*b - x. Let j = b + 38. What is the derivative of 36 - 10*r**4 + r**4 + 16*r**j wrt r?\nAnswer: 28*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbttbbtbtnbttnttb. Give prob of picking 2 n and 1 b.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 170465256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 + 32.95. Round r to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(-44)*(-16)\/14?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78 - -26. Calculate the remainder when 39 is divided by 39\/f + 62\/8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 5*d**2 - 7*d - 11. Let p be y(-5). Let q be (-1)\/(-2)*4 - -70. Calculate the greatest common factor of q and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1759889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20904682 is divided by 206977.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 0.1 (c) -40610\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2006.\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73772?\nAnswer: 2, 18443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 704 divide 1169344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -129, -467, -1035, -1839, -2885, -4179?\n\"Answer: -k**3 - 109*k**2 - 4*k - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 622*f - 2005. What is the thousands digit of d(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by ((-117)\/(-18))\/(1\/2*1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**5 - 85*i**4 + 1000*i**3.\nAnswer: -5*i**3*(i - 8)*(i + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2573920 (base 12) to base 10\nAnswer: -7367784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2187*m - 63178. Determine y(29).\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9770 - 111551. Let z = f + 101430.9346. Let v = z - -350. What is v rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4334*v + 275. Let a(y) = -619*y - 39. Let z(j) = 22*a(j) + 3*l(j). Is z(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -232 + 70. Calculate the smallest common multiple of 3*12\/f + 164\/9 and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a milligram in micrograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -5 + (0 - 3) + 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*k + q - 26, -3*q - 54 = 3*k. Which is greater: k or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*(-2 + 12\/8). Let v(h) = 3*h**2 - 3*h + 2. Let q be v(j). What are the prime factors of ((-12)\/10)\/(q\/(-20))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**4\/6 - 68*g**3 + 19112*g**2\/3 + 115328*g + 1438208\/3 = 0.\nAnswer: -8, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 322*k**3 + 40*k**2 - 6*k?\nAnswer: 1932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 1533 = 767. What is the remainder when s is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20255944 rounded to the nearest one thousand?\nAnswer: -20256000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*z = 84*z + 189. Let m = -10 + 45. Calculate the remainder when m is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14265 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -13*l - 10. Let i be ((-40)\/(-16))\/((-2)\/4). List the prime factors of d(i).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-10\/7)*c)\/(c*c**(-4)*c*c*c))\/(c*c\/(c*c**(1\/39)))**(-15\/11) assuming c is positive.\nAnswer: c**(4762\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 9*s + 18 + 15*s - 19.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5\/6 (b) 2010\/7 (c) 0 (d) 8 (e) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-119 - 16) + 16 + -1 + -12 + (0 - -2).\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 36*v - 9)*(936*v**2 - 857*v**2 + 0 + 1).\nAnswer: 2844*v**3 + 36*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1091 a factor of 21735993?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*a, -17 - 5 = c + 4*a. Is ((-76)\/c)\/(8\/12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**5 + 242*p**2*z - 36*p*z + 13*p wrt p?\nAnswer: 20*p**3 + 484*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x - 10. Let a be f(7). Find the first derivative of 6*j**a - j**4 + 1 + 24*j**3 - 24*j**3 wrt j.\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/9 (b) -0.2 (c) -7 (d) 104 (e) 0.3 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 81786646 to the power of 1\/3, to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1973, -7946, -17901, -31838, -49757, -71658?\n\"Answer: -1991*x**2 + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + ((-93779)\/(-7))\/(-5 - -6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 5 + 28*z - 5)*(9*z + 5*z - 5*z + (3 - 4 + 4)*(0 + 0 - z)).\nAnswer: 162*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/52)\/(3\/44)*3\/(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1986, -4360, -6734?\n\"Answer: -2374*d + 388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o = -2*o - 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*j**2 + 53*j**2 - 203*j**2.\nAnswer: -224*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -s**4\/4 + 4*s**3\/3 - 3*s**2\/2 + s + 1. Suppose -4*z = -6*j + 11*j - 795, 5*z + 3*j = 1010. Let l = z - 202. Give q(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2934 at most as big as -2928?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 249061?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 71 = -7*i + 11*i, 3*i = 4*r + 72. Suppose 0 = -c + 8 - 1. Solve 2*o - c*o = -i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 52525.51ug?\nAnswer: 0.00000005252551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 3*b**2 + 187185*b + 561528 = 0.\nAnswer: -62392, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 2297*w - 2302*w - d, 0 = 4*w - 3*d + 22 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3072*q + 24587. Give p(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11824425?\nAnswer: 3, 5, 52553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + 27. Solve 30 = 5*l + 2*t, -6 - o = 2*l - 3*t for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 674*n**2. Let w(g) = -2398*g - 2 + 2398*g + 2 - 2*g**2. What is v(w(d))?\nAnswer: 2696*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9113 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11, -1, -25, -67, -133, -229, -361, -535?\n\"Answer: -p**3 - 5*p + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246311607.\nAnswer: 3, 59, 521, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 6. Let r(b) = -b**3 + 6*b**2 + 6*b - 7. Suppose -3*s = -3*d, 5*s - 16 = 2*d - 1. Let j be r(d). Calculate the greatest common divisor of j and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 10*w**2 + 13*w - 11. Let n be v(8). Let y = n - -46. Suppose 239 = -y*f + 1152. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-9 - (-17 - -10 - -3)) + 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of n**4\/4 - 4*n**3\/3 + 5*n**2\/2 - 3*n + 7. Let u be s(5). Let x = -47 + u. Is -6 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(70)\/(sqrt(20)\/sqrt(2)) - sqrt(7) - 5*-1*sqrt(7)) + -5)**2 + 4)*-3*-5*-5.\nAnswer: -15300 + 3750*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**5 + 21*m**4 + 39*m**3 - 9*m**2 - 54*m = 0.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*(-3)\/12*(-318)\/(-9). Suppose -s*i + 52*i + 138 = v, -v + 126 = -5*i. Calculate the greatest common divisor of 32 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 25 = -2*a. Suppose -a*y - 7 - 23 = -s, -2*s - 3*y = -47. What is the greatest common factor of s and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110010010 + 10101?\nAnswer: -10101111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hjayz. What is prob of picking 1 a and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 4*i - 3. Suppose -10 = 5*r, 4*k - 33 = 5*r - i. Sort 0.5, -3, k in descending order.\nAnswer: k, 0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303402503?\nAnswer: 1669, 181787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -2008, 0.04867?\nAnswer: -2008","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -333. Suppose 0 = 314*b - n*b + 1264. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 9\/11, -0.3, -4, -2\/13, -438 in decreasing order.\nAnswer: 4, 9\/11, -2\/13, -0.3, -4, -438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/3 + (-396)\/(-108). Suppose -3*t = -p + 182095, t = -d*p - 23318 - 37407. What is t rounded to the nearest 1000?\nAnswer: -61000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3 + -1 + sqrt(539).\nAnswer: -3 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {u: 5, z: 11}?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = l - 160. Suppose l = 2*b - 7*b. Let f(a) = a**3 + 8*a**2 - a - 5. What is the units digit of f(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j*s**3 - 5*j*s**2 + 6*j*s*t + 1784*j*s + 2532*s**3*t wrt t.\nAnswer: 6*j*s + 2532*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -192.2 + 346.3. Round u to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 h when two letters picked without replacement from wlwwchllllllwwwl?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(-25))\/(g**(-24)\/g*g) assuming g is positive.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10188 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 15 - 5. Let w(m) = m**2 - 2*m - 2. Let l be w(-1). Let p be l + -3*(-2)\/(-14). Which is smaller: i or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 2 - 0. Let p be ((-676)\/(-4))\/(z\/(-1)). Suppose 4*o - p = -5*c, -2*c = -2*o - o - 63. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -28*l. Let t(a) be the second derivative of -13*a**3\/6 - 296*a. Let v(n) = 6*d(n) - 14*t(n). Let b(z) = -2*z. Calculate b(v(o)).\nAnswer: -28*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14653239673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 7*z + 564. Determine k(-81).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/5)*o**(1\/5)*(o**(-2))**(4\/15))**(6\/17))**(42\/5) assuming o is positive.\nAnswer: o**(-924\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -6*p**2 + 6*p + 7. Calculate w(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3*n**2 - 3 + (-3*n - 7*n + 2*n)*(2*n - 2 + 2) + 5*n**2 + n**2 - 4*n**2.\nAnswer: -17*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 280 and 179480.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35.1 - -39.1. Suppose -q = 3*m - 2*m - 1, -8 = 2*q. Suppose -8 = -0*u - 4*u. Which is the closest to u? (a) 0.1 (b) m (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 82, 2, 1 in decreasing order.\nAnswer: 82, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 3*b - 5*b)*(4 + 2 - 5 + (-1 + 2 - 2)*(1 + 0 - 2) - 1 + 2 - 2 + 2 + 1 - 2).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4488\/427 - -26\/427. Let n = w + -1124\/105. Put n, -1\/6, 0.1 in ascending order.\nAnswer: -1\/6, n, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -704*g*l**4 - 97*g*l**2 + g*l - 2*g - l**4 wrt l?\nAnswer: -16896*g*l - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/9 of a week?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -1 - (-3 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -661*l - 3. Let s(j) = -2*j**2 - 101*j. What is s(a(o))?\nAnswer: -873842*o**2 + 58829*o + 285","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m. Let j(c) = 7*c. Let t(z) = -4*j(z) + 9*o(z). Let i = 7 - 5. Let a(r) = 3 - 40*r**i + 39*r**2 - 3. Give a(t(y)).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-128*d + 28*d + 63*d)*(31 + 20 + 32).\nAnswer: -3071*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 10:18 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g\/(g**(2\/3)*g)*g)))**(1\/5)*g**(1\/3)*g*g**(1\/7) assuming g is positive.\nAnswer: g**(54\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1\/14, 0.08 in descending order.\nAnswer: 0.08, 1\/14, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/10, -0.291, 5\/3, 4\/3, -21?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10254, 10448, 10642, 10836, 11030?\n\"Answer: 194*t + 10060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 35 = 5*l, 2*z - 103*l - 98*l + 5 = -200*l for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 9, y: 11}. Give prob of sequence ymy.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 1\/5, -41, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 244136*v - 732421. Determine d(3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.458136 to three dps.\nAnswer: 0.458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1456\/25 at least as big as 57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1246, -1252, -1258, -1264, -1270, -1276?\n\"Answer: -6*w - 1240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6523, -52135, -175931, -417001, -814435, -1407323, -2234755?\n\"Answer: -6515*y**3 - 2*y**2 - y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10532 - -10531.6. Let c = 0.3 + -0.5. Put c, -19, q in ascending order.\nAnswer: -19, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131571*w + 131567*w + 5*s - 73 = 0, -65*w - 1415 = -5*s for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 666013 + 170088.988\nAnswer: 836101.988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1717 rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5457937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193011 is divided by 10705?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5*c = 10, -h + 3*c - 4*c + 2 = 0. Suppose -4*t + h*t + 24 = 0. Suppose 3*l - x = -0*x + 13, -t = -3*x. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 673303 is divided by 405.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 100975199?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2888 + 4131*m - 2888.\nAnswer: 4131*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -9, -9, -7, -3, 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of 4*p**6\/75 - 3*p**5\/50 - p**4\/30 + p + 3. Let l(j) be the first derivative of t(j). Solve l(i) = 0 for i.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 106 - 101. Let q = 1.3 - 0.3. Let r = 6 - 8. What is the third smallest value in r, q, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004181 rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q + 1. Suppose 6*y - 5*m = 3*y - 13, 4*y - 3*m + 10 = 0. Let s(n) = -5*n - 11. Suppose -14 = -r + 4*d, -r - r + d - 7 = 0. Determine r*l(f) + y*s(f).\nAnswer: -f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 1180\/(-150) - 65\/(-75)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14193, -28427, -42661, -56895, -71129, -85363?\n\"Answer: -14234*g + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 78863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c + 1. Let h be k(3). Let g be (-2)\/(-8) + 71\/h. Suppose -16*a - 62 = -3230. Calculate the highest common factor of g and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1233b6 (base 12) to base 8\nAnswer: 1102172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 91*v**6\/30 - v**4\/12 + 37*v**2 - 2*v + 4. What is the third derivative of p(s) wrt s?\nAnswer: 2184*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 5*f = -9*f + 30, 2*f = 6 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/534 and -91\/256?\nAnswer: 68352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.33 + 4?\nAnswer: -45.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 3*x - 0*g + 5*g, 5*g = -x - 18. Let h be -1 + (-9)\/x + -1. Let f = 10.0259 - 0.0259. Is f greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/14 - 0\/1. Let v(p) = -2*p**3 + 3*p**3 - p + p**3 - 3*p**3 - 3*p**2 + 1. Let s be v(-3). What is the closest to 2 in s, w, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 669 times -35.33\nAnswer: -23635.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gqqkqfzfggggfgq. What is prob of picking 1 q, 1 f, and 1 g?\nAnswer: 72\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3515745019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 44, 86, 128, 170?\n\"Answer: 42*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111083 is divided by 1371.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 1 = 4*q + 8, 3 = 3*q - v. Let m(y) = y**3 - 41*y**2 - 57*y + 630. Let p be m(42). Suppose 3*a - 5*d - 17 = q, p*d + d - 2 = 0. Is a even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3065638 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7445632.\nAnswer: 2, 58169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9 - 7) + (-1 - (1 - -2)). Let a be ((-10)\/b)\/(2\/28). Differentiate -27 - 8 - a*y + 11 wrt y.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 7*c**2 + 8*c + 6. Let g be a(8). Let t(s) = -4*s - 7. Let y(q) = 11*q + 20. Calculate g*y(l) + 17*t(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293070960*y - 293070960*y - 66*y**2.\nAnswer: -66*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 269837009 to the power of 1\/2, to the nearest integer?\nAnswer: 16427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, a: 1, u: 1, z: 4, s: 2}. What is prob of picking 1 s, 1 a, 1 u, and 1 z?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35464 divided by 403.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 40371 to the power of 1\/2, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335483 is divided by 111827.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 25, 66, 143, 268, 453?\nAnswer: 710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o + 3*o**2 + 3*o + 4*o**2 - 4*o**2 + o**2 + (2 - 5*o - 2)*(-3*o + 3*o - o) in the form l + w*o**2 + h*o and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -1407*d**2. Let l(c) = 319*c - 13. Let y(h) = -49*h + 2. Let w(m) = 4*l(m) + 26*y(m). What is p(w(o))?\nAnswer: -5628*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 166.67 - 138.67. Put -4, 1\/13, -2, t, 0.1 in decreasing order.\nAnswer: t, 0.1, 1\/13, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 4:46 AM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1048\/12)\/((-4)\/48*-4). Let b = -155 + o. Let f = -68 + b. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2171586455 to the nearest integer?\nAnswer: 46600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 3977?\nAnswer: 7954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 28 - 1*(-4 - 3). Let x be 14\/b + (-90)\/(-25). Solve m - 31 = -x*m + 4*g, m - 11 = 2*g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*n - 6*n + 12*n to the form y*n + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 3. Let b = i - 2. Suppose -3*z + 14 = -13. Solve 5*y + z + b = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 9. Suppose -5*s + 13 - 2 = -k, 4*k - 2*s - 10 = z. Solve -k*w = -q, -3*w = -0*q + 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 282\/21259 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 972, -4, -15, 6, 0 in increasing order.\nAnswer: -15, -5, -4, 0, 2, 6, 972","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 0*c - 5*w + 2 = 32, -4*c - 62 = 3*w - 72 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -162747*d**5 + 2*d**4 - 2*d**3 - 2*d**2 - 1224903*d wrt d.\nAnswer: -9764820*d**2 + 48*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 7*u - 3. Suppose -15 = 5*d + 15. Let s be x(d). Solve -40 = 2*f + 3*f + s*t, -2*f - 2*t = 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h**3 + 2*h**2 + 2*h + 5. Let g(b) = 5*b**3 - 3443*b**2 - 3*b - 4 - b**3 + 3440*b**2. Determine 2*g(s) + 3*w(s).\nAnswer: -s**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 + 2*r**2 + 0*r**2)*(2*r**2 - 2*r**2 + 1 + r**2).\nAnswer: 5*r**4 + 5*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 1. Let y(a) = a. Let i(o) = o**2 - 4*o. Give u*y(f) - i(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 6.6. Let i = g + -0.3. Let u = i - -0.2. Which is the second biggest value? (a) -0.5 (b) u (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = -13*b - 36. Let w(d) = -d - 8. Let s be w(b). Suppose -u - 3*u + 22 = 2*x, s*x + 3*u - 19 = 0. Calculate the remainder when x is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 79*m**3 + 1123 wrt m.\nAnswer: 237*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 56065*t. Let l(c) = 6*c**2. Give i(l(v)).\nAnswer: 336390*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37\/26483 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4316 and 12.\nAnswer: 12948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.2596 != -2680?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.2 - 4.06. Let f = 1.44 - y. Which is the biggest value? (a) 2\/17 (b) f (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of r**3\/3 + r**2 + 3*r - 13. What is l(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*x - 10. Suppose 2*k - 106 = k - x*t, -4*k = t - 389. Does 28 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 10123*k. Let a(b) = 2*b - 14678. Determine w(a(v)).\nAnswer: 20246*v - 148585394","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of b**7\/70 - b**5\/20 + 8*b**2. Find h such that a(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1104*s - 11922 + 46171 + 9911 = 0 for s.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2101111112 (base 3) in base 15?\nAnswer: -ddeb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*c + r, 1 = 5*c - 3*r - 0*r for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.8 - 0.8. Let l be (43\/24 + -1)*-2. Let g = -7\/4 - l. Which is the biggest value? (a) g (b) 0.2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 5 = 5*b. Let i be (b + 6 - 2) + 3. List the prime factors of 3\/(i\/2) - -11.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - j - 30 + 35 = 0, -j + 3 = 2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -6*u + 0*u**2 + 4\/3*u**3 - 2. What is the derivative of a(l) wrt l?\nAnswer: 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21.5884 - -0.1316. Let o = v - 23. Let u = -1.2926 - o. Round u to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, u: 6, p: 3, s: 1, w: 3}. Give prob of picking 2 u and 1 p.\nAnswer: 9\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68 - 63. Suppose -t - 6 = -4*t, w*r - t - 48 = 0. Suppose r*h + 16590000 = 3*h. Round h to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-2))\/(14\/(-7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3082*t**2 - 27730*t - 77. Determine f(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((18\/(-14))\/(150\/(-10)))\/3)\/((-6)\/225).\nAnswer: -15\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 15*t - 24. Let j be q(-17). Suppose 0 = 4*p - 3*u + 6 + 7, 2*p + 2*u = -j. Which is the nearest to 2\/3? (a) -0.05 (b) p (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 8*i - 44. Suppose 0 = -2*b + u + 30, -i*b + 4*u - 2*u = -34. Calculate the remainder when 36 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 29 + 16. What is the greatest common factor of i and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0938418951 to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51 and 204.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m - 29. Let g be f(-11). Let j be (2 + 0)*15\/(-2). Let s = g - j. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 5*s + 21 + 10, 0 = 5*z + 2*s - 155. What is the remainder when z is divided by 34\/8 + (-21)\/(-28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - -1)*(-6)\/(-10). Let z be 2*c - (-1 - 0). Let o(t) = t + 8. Let n be o(-4). Solve n = -z*h + 3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -9 - 5) + (-2 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -30. Is h\/4*(-24)\/(-42) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**2\/5 - 229784*v\/5 + 6600085832\/5 = 0. What is v?\nAnswer: 57446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 179824613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222 - -111010001?\nAnswer: 111003113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24.538 - 24.478. Which is the closest to -11? (a) 2\/15 (b) -1\/7 (c) f (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -20*h + 15. Let p(t) = -t**2 + 25*t - 15. Let b be p(24). Let y be f(b). Let v = y - -481. Is 38 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14748 + 14772. What is the greatest common factor of 1182 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 = 50834*o - 50806*o. Let p(g) = g**3 + 9*g**2 + 9*g + 30. Give p(o).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 7*y**2 - 4*y + 35. Let t be r(-8). Suppose -3*z + 1130 = -2*v, z + 107 - 469 = -t*v. What are the prime factors of z?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 - -231516432?\nAnswer: 231516422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 47*o**2 - 4*o + 1806 wrt o.\nAnswer: 94*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of 0*l**4 + 0*l + 0*l**3 - 1\/20*l**5 + 6*l**2 + 0. Let b(w) = 1 + 4 - 5 - 2*w. What is b(g(k))?\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/(-6) + (-16)\/(-2) + -6 and 119\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4525 + -4530. Which is the biggest value? (a) 1\/4 (b) g (c) -2\/5 (d) 4 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182604*q - 182609*q + i - 1 = 0, q - 2*i = 16 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**2\/7 - 7000316*s\/7 - 6125553012482\/7 = 0. What is s?\nAnswer: -1750079","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -332424?\nAnswer: 332423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b - 143 = -11 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9945 is divided by 696?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -251*g**5\/20 - g**4\/2 + 8*g**3\/3 - 23*g + 1. What is the third derivative of a(b) wrt b?\nAnswer: -1506","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 15 = -4*y, -2*y = -2*n + 30. Let b be 40\/18 + (-4)\/n. Is b bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -504 = 9*g - 378. Let l(u) = u**3 + 14*u**2 - 1. What is l(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (106 - 2)*(56\/(-84)*(-171)\/(-6) - -18).\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -2762, -2\/9?\nAnswer: -2762","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 14286543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vmvv when four letters picked without replacement from {v: 3, m: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.48 - -0.54. Are -2 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -10 + 17 - (-7 + -4955)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 9 = -3*l. Suppose -20 = -2*r - l*t, -6*r = -r + t - 76. Solve -5*v + 0*v + 4*u + r = 0, -4*v = -3*u - 13 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 210, 0.1423, -2, -0.2, 0?\nAnswer: 0.1423","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 times 0.028\nAnswer: 0.0196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2656, -5288, -7920, -10552, -13184, -15816?\n\"Answer: -2632*a - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.01564 rounded to two decimal places?\nAnswer: 13.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2110*l - 5479 wrt l?\nAnswer: -2110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 1. Let y(u) = u**2 + 2*u - 1. Let m be y(1). Let n(v) = 0*v**2 + 6 - v**2 + 3 - v**3 + 0*v**m. Determine n(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + -2 + 3 + 0. Let t = 9 + j. Let d(o) = 5*o**3 - 3*o**2 - 2*o + 3. Let a(x) = 7*x**2 + 3*x + 13*x - 11*x**3 - 11*x - 7. What is t*d(i) + 3*a(i)?\nAnswer: 2*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (28\/6)\/((-3)\/(-9)). Let s(v) be the first derivative of -4*v**2 + 14*v - 2. Let c(p) = 3*p - 5. What is k*c(r) + 5*s(r)?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18.83 - -18.53. What is the closest to 0.1 in u, -4, 22, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 18 - 5 - 12. Let k(x) = x**2 - 2*x - 2. Give k(n) + 4*s(n).\nAnswer: n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -15, -14197, -2, 2, -3 in decreasing order.\nAnswer: 2, -2, -3, -4, -15, -14197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 + -57 + (2 - (3 - 4) - -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 14) to base 9.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1344)*4*5)\/(-5*((2*sqrt(847) - sqrt(847)) + sqrt(847) - sqrt(847))*-3).\nAnswer: 32*sqrt(3)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 - 302492*x + 302490.\nAnswer: 2*(x - 151245)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3 + 0*v + 9 - v. Let h be u(7). What is the third derivative of -2*b**2 + 4*b**5 - 2*b**5 + 0*b**h + b**5 wrt b?\nAnswer: 180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5*c - 65. Let h(t) = t + 30. Let w(x) = 13*h(x) + 6*q(x). Let y(n) = 69*n. Determine w(y(m)).\nAnswer: -1173*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 583, 2283, 5117, 9085, 14187, 20423, 27793?\nAnswer: 36297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of r**4\/3 - 2*r**3\/3 + 8*r**2 - 8*r. List the prime factors of s(7).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 24 = -0*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 93088342*t - 26104485.\nAnswer: 93088342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2 - 2*t)*(-10*t - 639 + 1260 - 645).\nAnswer: 20*t**2 + 68*t + 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*d - 34*d + 93*d - 27*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 83. Let z(y) = 568*y. Determine z(p(u)).\nAnswer: 568*u**2 - 47144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/((-19912827)\/19912821 + 1). Let s = 16179588 - m. Suppose v = 2*r + 27341977 - s, 5*r + 44500004 = -v. Round r to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.3, -1, 1 in decreasing order.\nAnswer: 1, 0.3, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 493.\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7997 divided by 727?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1855840793.\nAnswer: 1855840793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/19 at most 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -20. Let b = 27 + t. Suppose -b + 2 = -m. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -65*a - 21. Let r(d) = 22*d + 7. Give 2*g(p) + 7*r(p).\nAnswer: 24*p + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + (9 + -8)*-16. Let n(h) = 2*h + 20. Calculate n(b).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4466766686 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2c63a (base 13) to base 10\nAnswer: -84549","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 j, and 1 p when three letters picked without replacement from {j: 2, i: 1, w: 1, p: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 622231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 4:32 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 2:58 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18249*l**2*y**3 - 926980*l**2 - 7*y**3 wrt y.\nAnswer: 54747*l**2*y**2 - 21*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 975083?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 264894.\nAnswer: -264895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-196)\/(-546))\/((-8)\/44*(-132)\/216)\nAnswer: 42\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*8\/(-80)*-1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -12829448 to the nearest 100000.\nAnswer: -12800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*y = 36*y + 6. Put -2, y, -5 in decreasing order.\nAnswer: y, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 1:34 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13095091?\nAnswer: 43, 304537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.02 + -2.02. Let m = 0.089 - 1.089. Which is the third biggest value? (a) m (b) 16 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 176, 1423, 4804, 11387, 22240, 38431, 61028?\nAnswer: 91099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus -820?\nAnswer: -820.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 96?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005104767 rounded to six dps?\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/24*-4 + (-94)\/(-6). Suppose -u*q = -14*q - 10. Solve -q*r + 25 = -m, 2*m = m for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 10*h**2 - h - 4. Suppose -50 = 6*c - c. Let w be z(c). What is the smallest value in -3, -1, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*-1*-6 - (sqrt(153) + (sqrt(153) + sqrt(153)*-1)*6 + sqrt(153)))\/((sqrt(36) - (((sqrt(360)*-1)\/sqrt(10) - sqrt(36)) + sqrt(36)))\/sqrt(4)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*2 - 0\/60. What is the common denominator of -71\/38 and (-1547)\/420 - x\/6?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 1 = -4*y - 3, 0 = 2*c + 3*y - 22. Find the third derivative of q**c - 3*q**5 - q**2 + q**5 wrt q.\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -3 - 1) + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -15*m. Let b(d) be the second derivative of -7*d**6\/360 - 62*d**3\/3 + 70*d. Let f(h) be the second derivative of b(h). Calculate f(p(l)).\nAnswer: -1575*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1221 + 1222. Are b and 466 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160498.\nAnswer: 2, 13, 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w - 167*v + 22 = w - 164*v, v = 4*w + 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, n: 1, x: 2, f: 2}. What is prob of sequence wn?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrqq when four letters picked without replacement from qrqrrrqrrrrrqr.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74 + 110*f - 343 - 553.\nAnswer: 110*f - 822","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/((-6)\/(-9)) - -14516 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.716 + 418.284. Let j = h + -222. Let i = 196.99913 - j. What is i rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-16)\/10)\/((-2)\/(-10)). Let t be (h - -5)\/(6\/(-64)). Calculate the lowest common multiple of 7 and 15\/(-10)*t\/(-6).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -5487346\nAnswer: -1\/5487346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**4 + 32*z**3 + 133*z**2 - 2166*z = 0.\nAnswer: -19, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 114584 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002811396 to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 279 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**5 + 3237864*y**4 - 1164864745512*y**3 + 139692910002655776*y**2 - 279381160572232368*y.\nAnswer: -3*y*(y - 359762)**3*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24720, -24766, -24900, -25128, -25456, -25890, -26436, -27100?\nAnswer: -27888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20865*i**3 + 10615*i**3 + 10275*i**3.\nAnswer: 25*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j + 8*j + j + 12. Let l(z) = 4*z + 8. Let f be 7*(-126)\/147 - (2\/1 + -1). Give f*l(s) + 5*q(s).\nAnswer: 2*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80549?\nAnswer: 7, 37, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2250? (a) 1\/6 (b) 2 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1381, 2761, 4141, 5521, 6901?\nAnswer: 8281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 8*q**2 + 2. Let a(z) = z**2 + 173*z + 2505. Let k be a(-16). Let s(t) = 15*t**2 - t + 4. Calculate k*p(y) + 4*s(y).\nAnswer: 4*y**2 - 4*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of g**4\/2 + g**3\/3 + 2. Let r be 1\/3 - 2\/(-3). What is the units digit of p(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 22022?\nAnswer: 22023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 12:45 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1168\/2 + 1 - (-6 + 3). Suppose f = -6*a - a. Let p = a + 149. What is the remainder when p is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) - (1 + 1*sqrt(320) - sqrt(320))) + -3 + (sqrt(320)*-1 - sqrt(320)) - (5*-3*sqrt(320) + (sqrt(320)*-2*2 - sqrt(320))))**2.\nAnswer: -1216*sqrt(5) + 115536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and -339\/211 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 535663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 158*m - 4300. Calculate g(28).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 10 = 2*z - 2*w, 3*z - 25 = 5*w for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 7 = o. Suppose -5*a = -6 - o, -4*l - 2*a = 0. Let x be 2*(-3)\/3*1. Are l and x equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k + 10*k**2 + 6*k)*(-4 + 4 + 3*k**3).\nAnswer: 30*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469 is divided by 80?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 63 + (45 - (36 + 22))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/25 of a tonne?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -10*v**4 + 5*v**3 - 132*v**2 + 5*v. Let m(t) = t**4 + t**3 + t**2 + t. Let w(i) = g(i) - 5*m(i). What is the third derivative of w(q) wrt q?\nAnswer: -360*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 140, -3, 3, -60723, 1 in descending order.\nAnswer: 140, 3, 1, -3, -60723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -21*q + 5. Suppose 43*w + 8 = 51. Let l(m) = 31*m + 20*m + 2 - 9 - w - 19*m. Determine -5*l(s) - 8*z(s).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - 32. Let w be ((-54)\/9 + 4)\/(u\/2474). Suppose 4*b + 233 = w. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49023.639 nanoseconds to hours.\nAnswer: 0.0000000136176775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6599, -6588, -6555, -6488, -6375?\n\"Answer: 2*u**3 - u**2 - 6600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -108 - -113. Let b(c) = 3*c - 2. Let g be b(n). Let q = 65 - g. Does 21 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -1\/10, -0.5, 0.5, -3.3, -47, -5, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/(-204)*-6)\/(1\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*u**2 - 267*u**3 - 25*u**2 - 25*u**2 - 27*u**2 - 179*u**3.\nAnswer: -446*u**3 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -180*a**6 + 14*a**4*v**3 - a**3*v - 16*a**2*v**2 - 83*a*v**2 - 2*v**3 - 1 wrt a?\nAnswer: -21600*a**3 + 336*a*v**3 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2847117, -5694234, -8541355, -11388480, -14235609, -17082742, -19929879?\nAnswer: -22777020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of x**3\/3 - 60*x. Let p(i) = 3*i**2. Give p(w(f)).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -87874 by -5.\nAnswer: 87874\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10899869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 69 = 21. Is r equal to 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -220*i + 150*i + 3 + 117*i. Let y(o) = -142*o - 10. What is 10*s(f) + 3*y(f)?\nAnswer: 44*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1757, -1756, -1755, -1754, -1753, -1752?\n\"Answer: z - 1758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*j**5 - 615*j**4 + 2165*j**3 + 7275*j**2 - 15435*j - 15660 = 0.\nAnswer: -29\/2, -3, -4\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 31142 (base 10) to base 9\nAnswer: 46642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 = -21*k - 53 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 4*d = -6, -191*n = -194*n - 5*d - 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 126411601 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 8*a - 17. Which is smaller: 7 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25836981.\nAnswer: 3, 23, 31, 47, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crffrfrfrfrfrf. Give prob of picking 1 r and 1 f.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/4*1 + (-138)\/(-2). Let w = y + -50. Does 30 divide (-541)\/(-6) - (-4 + 7)\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214*x + 13*x + 110*x - 10*x.\nAnswer: 327*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -74 - -78. Let o(p) be the third derivative of -p**4\/24 + 2*p**2. Let b(s) = -s. What is m*b(a) - 5*o(a)?\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 200763640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1281)\/(-182))\/183*28.\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - -4 - (0 + 1). Let b be p\/(-10) - (-6)\/15. Do b and 1\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 11*f - 45*f + 23*f)*(-3*f**2 - 3*f**2 + 3*f**2) to the form b + z*f + v*f**2 + s*f**3 and give v.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -311212*i**3 - 2*i - 790741 wrt i.\nAnswer: -1867272*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*r + 15*r + 3339. Suppose -4*j + 5*t = -882, 9*j - t = 4*j + r. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-142 - -4) + 174 + (2 - 104)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -5. Is w\/(-2)*-7*-58 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m + 35. Let t be x(-11). Let c be 6\/t - (-264)\/18. Let n be (-24)\/14*-4*c\/2. Calculate the highest common factor of n and 384.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.034 + -61.966. Let j = o - -28. Let a = -37 - j. What is the second smallest value in -0.3, a, 2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-25)\/21 - (-32)\/24. Which is the closest to o? (a) -0.2 (b) 0.4 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 - -15. Let i = h - 44.18. What is i rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 135*z**4 - 15*z**3 - 31*z**2 + 595344*z wrt z?\nAnswer: 1620*z**2 - 90*z - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1260a (base 13) to base 4\nAnswer: 20102323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/9 + 17437208*d\/3 - 38007027854408.\nAnswer: -2*(d - 13077906)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + (-5)\/(-2))*4. Let n be (r - 5)*(-1 + 3). Solve -6 - n = 2*k, 4*t + k + 4 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92343303 is divided by 23503?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1\/12792 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.026158 centuries to millennia.\nAnswer: 0.1026158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + x = -7, 4 = 5*l - l - 4*x. Let v(p) = 4*p. Let a = -460 - -451. Let u(j) = -j. Calculate a*u(n) + l*v(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 5*p - 9. Let i = 9 + -3. Let o be f(i). What is the highest common factor of 7 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2444671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 16\/39?\nAnswer: 16\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3401)\/(-358))\/((-4)\/8*1).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-6*(-6*-3*sqrt(102))\/(sqrt(150)*2)*-1)**2.\nAnswer: 446148\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3513.284 + 3506. What is x rounded to 0 decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -151 + 217.5. What is s rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2 - 4 = 0, -5*o + 264 = 3*c. Suppose -m = 5*l - 51, -l - o = -4*m + 45. Let j be m\/7 + 4\/14. Sort j, 1, -2 in ascending order.\nAnswer: -2, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 19*i**2 - 19*i - 20. Let w(h) = h**2. Let q(c) = b(c) - 6*w(c). Is q(11) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (540\/(-21) + 26)*(-2 - 5\/(-1)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11464231 (base 7) to base 5.\nAnswer: -230234233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w + 117*w**2 - 2*w - 116*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x - 4. Suppose -14 = 2*z + 4*d, 4*d + 25 = -d. Let f = 0 - z. Calculate the smallest common multiple of 1 and a(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -m**6\/120 + m**5\/10 + 7*m**4\/12 - 41*m**3\/6 - 884*m**2. Determine a(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/22 - 10422\/330. Let t = j + 31. Which is smaller: -0.07 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -22. Let c(r) be the second derivative of q - r + 1\/3*r**4 + 1\/3*r**3 - r**2. Determine y, given that c(y) = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 0.09214?\nAnswer: -0.036856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 + -9 + (-3 - 1) - -6?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqlx when four letters picked without replacement from xqqxxlqlxxxxqllqlqqq.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 - 2*t**2 + 4*t**2)*(0 + 2 - 4)*(21 + 92 - 37).\nAnswer: -304*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 50.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15908 and 3880.\nAnswer: 159080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58 - 47. Solve q = -3*b + 20 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, g: 1, h: 2, u: 2, j: 3, v: 8}. What is prob of picking 1 j and 2 v?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001595203 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in -1\/10, 22, -289\/23?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14512 and 45944?\nAnswer: 83342416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r**3 + 3*r**2 - 3*r + 3. Suppose 7*k = -23 + 2. Let s(b) = b**3 + b**2 - b + 1. Determine k*s(y) + w(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*q + q - 22 = 0, -2*v - 2*q + 14 = 0. Let w = -4 + 10. Calculate the remainder when v is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*a + 538, 4*a - 7*a = -2*g - 781. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -176 - -94. Let h be (27\/(-6) + (-4 - -8))*t. Is h less than 41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence omff when four letters picked without replacement from fofffffmffmfofomfmff.\nAnswer: 26\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in minutes?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3264523, -3264643, -3264763, -3264883, -3265003, -3265123?\n\"Answer: -120*w - 3264403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*j**3 - 210*j**3 + 400*j**3 + 2*j - 2*j.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 53230283309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4096690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -25*f**2 + 154 - 154. Let i(o) be the second derivative of o**3\/6 - 11*o. What is v(i(d))?\nAnswer: -25*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4144934 or 4144935?\nAnswer: 4144935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventy-seven thirds of a week?\nAnswer: 4312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 616*i**3*o**2 + i**2*o**2 - 245*i**2 + 6706*i + 11*o**2 wrt i?\nAnswer: 3696*i*o**2 + 2*o**2 - 490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (39 - (11 + 10 + -2)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/(-8)*-2 - (-4)\/(-2). Factor 1\/2*y**s + 0 - y.\nAnswer: y*(y - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 712 + -1102. Let v = m - -391.91. Round v to 1 dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2*f + 2 = 0, 2*b + 3*b = 3*f + 8. Let a = -245.3 + 245.3. Let p = 7 - 3. What is the nearest to b in p, -1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -0*o + 3*x + 5, 2*o = x + 5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13367 millimeters in kilometers?\nAnswer: 0.00000013367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16033399\/240 - -66806. What is the common denominator of -19\/240 and m?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -68a6 - 2b2?\nAnswer: -6b98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -32332013330 (base 4) in base 10?\nAnswer: -3924476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -541, -485, 163, 1409, 3259, 5719?\nAnswer: 8795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 35*x**2 + 35*x - 243. Is s(16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) - -1*sqrt(343)*-5) + sqrt(343) + (-6*(2*sqrt(343) - sqrt(343)) - sqrt(343)) + sqrt(343) - (5*(sqrt(343) + 2 + sqrt(343)) + -3))**2*-3.\nAnswer: -371616 - 5586*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 4:10 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -2, -12, -26, -44?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 0*w**4 + 13\/6*w**3 + 0 + 0*w - w**2 - 1\/10*w**5. What is the first derivative of u(q) wrt q?\nAnswer: -12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 3*t + 24, -40 = -4*q - 2*t. Suppose -q = 3*j - 39. Does 2 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 166*b**2 + b - 1. Let z be j(-1). Suppose 5*h + 7 = 2, 4*h + z = 5*n. Calculate the greatest common factor of 4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3019.948 + 3020. Let p = 5 + -4.948. Let u = p - g. Which is the nearest to -0.1? (a) u (b) -2 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3843, -7688, -11533, -15378, -19223, -23068?\n\"Answer: -3845*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 15845, 31701, 47579, 63497, 79473?\n\"Answer: 3*f**3 - 7*f**2 + 15856*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = j + 3*w + w, -4*j - 4*w = 12. Solve -o - j*x = -7, 2*o + 2*x + x = 11 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 959087527*c**3 + 34853912*c wrt c?\nAnswer: 5754525162*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = w + 2*x, 5*w - 3*x - 87 = -5*x. Let k(y) = -1585*y**3 + 3175*y**3 - w*y**2 - 12 - 1591*y**3 - 2*y + y. Give k(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - s + 2*s**2)*(5*s**3 + 23*s**3 - 12*s**3).\nAnswer: 32*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*r + 10*r. Suppose -3*j + 6 = -r. What is the third derivative of 9*v**2 + j*v - v - 12*v**5 - v wrt v?\nAnswer: -720*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 1074*g**2. Let h(b) be the second derivative of 5*b**4\/12 - 13*b + 17. Calculate u(h(l)).\nAnswer: 26850*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6298611 and 27918.\nAnswer: 1551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a meter in centimeters?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m**3 - 7*m**2 + m - 7. Let k(j) = -j**3 - j**2 + j - 3. Let s(g) = 2*k(g) - l(g). Determine s(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2128219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 69005144 to the power of 1\/2, to the nearest integer?\nAnswer: 8307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j**2 - j - 1. Calculate t(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 0*w**4 - 3*w + 1\/5*w**5 - 3 + 0*w**3 + 0*w**2. What is the derivative of f(v) wrt v?\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-6) + (-1 - -41). Suppose 25*x + 64 = h*x. Let s(r) = -r - 1. Let g be s(-3). Solve p - x = 2*z, -g*z + 3*p + 0 = 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1817289 = 6500*t - 6509*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 5*p + 13, -5*p = 12*y - 16*y - 1. Let g = 6.3 + -6. Which is the smallest value? (a) y (b) -0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.036206 - 10?\nAnswer: -9.963794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i\/(i*i\/(i\/(((i*i**(1\/5))\/i)\/i))*i)))\/(i\/(i**(1\/5)*i)*i)*i**(-2\/3)*i**(-3) assuming i is positive.\nAnswer: i**(-34\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 481 + 32911*f**2 - 481 - 32898*f**2 - f.\nAnswer: 13*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 4 = -2*z. Let f = 26 + z. Let j = -34 - -80. Calculate the remainder when j is divided by f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 5*f**2 - 3*f + 3. Let r be d(3). Suppose 4*c - r - 20 = 0. List the prime factors of (-1 - c - 4)*-2.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*k + 7 = 0, 7*s - 2*s - 3*k = 18. Let u(q) be the second derivative of -q**4\/12 + q**3\/6 - 3*q**2\/2 + 89*q. What is u(s)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9993 or 9992?\nAnswer: 9993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -1. Let h(r) = -6*r + q*r + 7*r. Let i(a) = -a**2. Give i(h(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**3\/3 - 6*u**2 + 6*u. Let g be v(5). Put 0, g, -3 in increasing order.\nAnswer: -3, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31452?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1293 or -14363?\nAnswer: -1293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 6*o**3 + 2*o**2 - o + 3. Let p(h) = -11*h**3 - 4*h**2 + h - 5. Suppose 0 = 2*f - 4, 2*f + 12 = -z - 27. Let u = z - -40. Calculate u*p(m) - 5*a(m).\nAnswer: 3*m**3 + 2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(7\/((-168)\/32)). Let r(s) = t*s**2 - 6*s**2 - 5*s - s**3 - s**2 - 4*s**2 - 5 - 3*s. Suppose 2*z = 3*w + 25, 4*z + 4 = -2*w - z. Determine r(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/16)\/(16 - (-363)\/(-22))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3*z = -68, -d + 3*z = -6 - 4. Find the third derivative of -17*a**6 + 23*a**2 - 13*a**5 + d*a**5 - a**6 wrt a.\nAnswer: -2160*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.15? (a) -5 (b) -0.5 (c) 26 (d) 0.216\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 = 55\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 - -30. What is the second derivative of -215*a**3 - a + 215*a**3 - 4*a**t wrt a?\nAnswer: -80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 135470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 402436 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.34588 and -25.9?\nAnswer: 34.858292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5 - -0.46. Let b = k + 0.0401. What is b rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 4*k + 18 = 0, 2 = -q - 4*q - 2*k for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, a: 3}. What is prob of picking 1 a and 3 o?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8836465994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -14*f**2 - 10*f + 13*f**2 + 115 - 108. Give t(-8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/3, -3, 6, -2, 150\/11?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 17. Let o be y\/55 - 31\/11. Let l be -3*(1\/o)\/1. Which is the biggest value? (a) 5 (b) 2\/7 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - 1. Let s = 17 - 21. Let v be 456\/(-108) - (0 + s). Sort i, 0.5, v, -3.\nAnswer: -3, i, v, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37014272*i**4 - 33776101 with respect to i.\nAnswer: 148057088*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132937.\nAnswer: 7, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 4*y**2 - 2*y + 1. Let z(k) = 15*k**3 - 486*k**2 + 21*k + 522. Let t(l) = 12*h(l) + z(l). Determine c so that t(c) = 0.\nAnswer: -1, 1, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -372 + 412 - (-20)\/(-3 - -4)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -18, -190, -642, -1512, -2938, -5058, -8010?\n\"Answer: -23*q**3 - 2*q**2 - 5*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + 2*m**2 + m**2)*(-3*m**2 - 2*m**2 + 6*m**2) - 5*m**2 + 5*m**2 + 4*m**4.\nAnswer: 7*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -1040?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 298*0.3877\nAnswer: 115.5346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 97684, 390753, 879202, 1563031, 2442240, 3516829?\n\"Answer: 97690*u**2 - u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -212*i - 291. Let y be k(-19). Solve 0 = -n + 3744 - y for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.88956 * 0.049.\nAnswer: -0.04358844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 c when three letters picked without replacement from {d: 3, k: 6, r: 1, f: 2, c: 2}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*a**2 + 40*a**2 + 52*a**2 + 4*a**2 + 50*a**2 - 201*a**2 + 7*a**3.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 22*r**2 - 3*r - 67. Let o be p(-22). Let y be (-2)\/(-9) - (-994)\/63. Is o at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 8 = -3*t. Let j(q) = 6*q - 3*q - q**2 + t*q**2. Give j(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 24, 19, 0, -39, -104, -201, -336, -515?\n\"Answer: -k**3 - k**2 + 5*k + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0080771 to 4 dps.\nAnswer: -0.0081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -6*m - 4. Let y(u) = u - 3*u + 3*u - 2. Let h be y(4). Let p(v) be the first derivative of -5*v**2\/2 - 3*v - 10021. What is h*z(x) - 3*p(x)?\nAnswer: 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1403600306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 9 - -3 - (2 + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122137 is divided by 60870.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(275) - -2*sqrt(275))*-1 - (-3 + -2*sqrt(275) + sqrt(275))) + (sqrt(275) - (2 + sqrt(275)*1)) + -4)**2.\nAnswer: 60*sqrt(11) + 1109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -62790 divided by -6279?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r + 1081*r**3 + 3*r - 67*r**3.\nAnswer: 1014*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30062 - -30092. Calculate the remainder when (32\/(-6))\/((-4)\/66) is divided by k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7492346?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lyql when four letters picked without replacement from {l: 2, q: 1, h: 2, y: 1}.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 10010122010121?\nAnswer: 10010122010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 + 47. Let v = 26 - p. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 490332.004 to the nearest one thousand.\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 168062506 to the nearest integer?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 10106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110 (base 2) to base 11.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33958465 to the nearest integer?\nAnswer: 5827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 1 + 1448*p - 10 to g + i*p and give i.\nAnswer: 1448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1055979 + -60?\nAnswer: -1056039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/9 + (-12)\/36.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, 79, 4, 488, 1?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifth of a day?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 375, 897, 1567, 2385?\n\"Answer: 74*o**2 + 300*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -8, -1\/6, -0.1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 72\/455 and 74\/4165.\nAnswer: 54145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (2666\/31992)\/(26\/12)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 411806929 to the nearest integer?\nAnswer: 20293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2357, 27419, 95451, 227939, 446369, 772227, 1226999?\n\"Answer: 3581*q**3 - q**2 - 2*q - 1221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 187*n**4*v - 3*n**3*v**3 + 68*n*v**3 + 2*v**3 wrt n.\nAnswer: 2244*n**2*v - 18*n*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*b + 37, -n + 2 = b - 2. Factor 6*h - 137 + 137 + 3*h**3 - b*h**2 + 0*h**3.\nAnswer: 3*h*(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 17 = -2*o, 2*o = -5*k + 9 + 18 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -608925 and 2.586.\nAnswer: -608922.414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 4*z**2 - 3*z. What is n(4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 0.56, 397.424.\nAnswer: -2\/11, 0.56, 397.424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 6*g - 5. Determine l(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2203 + 2203 + 19*b. Let o(n) = -n**2. Calculate q(o(i)).\nAnswer: -19*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 111.43 rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -52*n**2 - n - 1. Calculate g(-1).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15543 and 8.\nAnswer: 124344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304*n + 128\/3 + 560*n**2 + 196\/3*n**3 = 0. What is n?\nAnswer: -8, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 8 = -3*l, 0 = h - l - l - 3. Suppose y - 4*y - h*i + 13 = 0, -4*y = -i - 48. What is the remainder when 32 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p**2 - 122 + 122 + 12*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 8 = 3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {h: 4, t: 15}?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 + 4283 - 2078 - 2205.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 344762 (base 10) in base 9?\nAnswer: 574828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 261635 (base 9) to base 8\nAnswer: 465767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 divided by 8?\nAnswer: 155\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -22)*2\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a day in seconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 107? (a) -5 (b) 2\/7 (c) 0.24 (d) -0.3 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 224852873, 449705741, 674558609, 899411477, 1124264345, 1349117213?\n\"Answer: 224852868*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*j - 10 - 14 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1452 and 536910?\nAnswer: 11812020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**2 - 769496*g - 148031023504 = 0.\nAnswer: -384748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 8 - 42*n**2 - 40*n**2 + 17 - 6 to the form r*n + i + o*n**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 2*k + 29, -5*m - 43 = -105115*k + 105117*k for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 176\/(-8) + 42 + -9. Solve 27*p + t = -43 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 719864, 1439750, 2159642, 2879540, 3599444, 4319354?\nAnswer: 5039270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 6 = -3*i. Suppose 0 = i*z - 312 + 102. Calculate the highest common factor of z and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 + -4 - 3099)*(18 - 19)?\nAnswer: 2, 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -t**6\/12 + t**5\/30 + 2*t**2. What is the third derivative of o(i) wrt i?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (228 - 0)*(16468\/(-537) + 31)\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -52, 4, -2\/15, 0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*p - 3*t + 20, 3*p - 5*t + 54 = 0. Let n = 19 - p. What are the prime factors of n?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56504 and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 77068\/28 + -4 - (-9)\/(-21). Is 9 a factor of x\/15 - 5\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - b = 12. Let g = 31 + b. Suppose 0 = o - 3*h - g, 5*o - 51 = -5*h + 34. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-62))\/(3706\/(-3706)).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 527824\/3 less than 175940?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -461*c**2 + 2327*c + 16. What is a(5)?\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*g + 103*g + 385 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 smaller than 60?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -1, -0.1381, 5, 1\/5, 3, -8\/21?\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = -b - 2*b. Suppose 136 = -2*h + 3*a, 6 = -2*a + 2. Let r = b - h. What is the remainder when r is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -17*q**4\/6 - 11*q**3\/2 - q**2 - 15*q - 1. Find the second derivative of i(u) wrt u.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54850948549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -712 - -734. Let f be ((-2)\/4)\/(6\/(-72)). Suppose 0 = 2*h - f*k + 3*k - 82, -4*k = 4*h - 164. What is the remainder when h is divided by l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/49757 and 69\/4080074.\nAnswer: 4080074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29091 + 30226. What is the greatest common factor of y and 90?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 10*m + 1. Let p be x(7). Let b be (-24)\/105 - 16\/p. Which is smaller: b or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**19*c**6\/c*c)\/(c**(-2\/5))**(-15) assuming c is positive.\nAnswer: c**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n + 5. Let m = 32 + -40. What is y(m)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 1186?\nAnswer: 1\/593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.27437ml?\nAnswer: 0.00527437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -917*r**3 + 488*r**2 + 607*r + 39 wrt r?\nAnswer: -5502*r + 976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**3*k**3 - 1083980*a**3 + 7353*a*k**3 + 165*a*k**2 wrt a.\nAnswer: 6*a*k**3 - 6503880*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65956.\nAnswer: 2, 11, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*f + 3 = 0. Suppose -m - 3*c - 14 = 0, 5*m + 4*c - 10 = -25. Calculate the remainder when (-5)\/(m\/((-1)\/f)) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 26*j**2 - 48*j + 228. Let s be y(-28). Solve -4*m - 5 + 8 = 3*r, -4*r - s*m = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -218665*x + 234698 wrt x?\nAnswer: -218665","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 1 + 9 - (-5 - (20 + -6 - 13)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000038298324 rounded to seven dps?\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r - 2*r - 2*r)*(6*r**2 + 8*r - 8*r)*(-3*r - 2*r + 2*r).\nAnswer: -18*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 8338628?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43556963?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116860560 is divided by 267.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 29 = -2*h, 69*h - 64*h + 10 = 4*w for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 42?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -135536996 and -0.1?\nAnswer: 13553699.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42378755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*u + 10, 4 + 6 = 2*n. Which is bigger: u or 7\/22?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - t**2 + t - 3. Let h be v(-5). Is (-2)\/4 + h\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-90))\/(16\/(-24))*36\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 10*p**2 - 8*p - 10. Let f(g) = -7*g**2 + 5*g + 7. Let b(k) = 7*f(k) + 5*h(k). Suppose 12*s - 3 = 11*s + c, s + 5*c = 3. What is b(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-33))\/((-3)\/(-3))*8\/4.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 479928000 to the nearest 1000000.\nAnswer: 480000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -6, 1, 3 in ascending order.\nAnswer: -6, 1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -170 - -169.96. Which is the fourth biggest value? (a) 0.3 (b) l (c) 5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2868 - 63?\nAnswer: 2805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence la when two letters picked without replacement from {n: 2, d: 2, i: 1, l: 1, a: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16380 and 29629860?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20322333 (base 4) to base 15.\nAnswer: -ac63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3349 + 3722. What is the remainder when h is divided by 70?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12224\/2555 - 1\/730. Suppose 2*s - 8 = 0, -2*b - 28 = -s - 3*s. Find the common denominator of ((-1)\/b)\/(8\/(-45)) and v.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence je when two letters picked without replacement from {e: 1, l: 1, c: 1, m: 1, d: 1, j: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3764428 is divided by 488?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29987 and 59503.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*f + 11*f + 150. Find the second derivative of 43*z - 140*z**2 + 31*z**2 - f*z - 2 + 54*z wrt z.\nAnswer: -218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/6)\/(2\/(-6))*-2. Suppose 485 = -3*m + 518. Solve r*n - b + m = -n, 2*n + 14 = -b for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -735114, -735107, -735100?\nAnswer: -735093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*v - 8 = 3*g, 0 = -4*g + 4*v. Let y be -8 + 7 + (g - 3). Let l = 107\/3 + -36. Which is the second biggest value? (a) 3 (b) y (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/(-9)*174\/(-290).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 168117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooa when three letters picked without replacement from {f: 4, a: 4, t: 1, o: 3, l: 4}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 12*h**3 - h + 1. Suppose 0 = 2*o - o - 1. Calculate d(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, m: 2}. Give prob of sequence vmvm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*u + 9*u + 32. What is the greatest common divisor of 4 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 21*v. Let u(d) = 15*d - 150. Let s(o) = 16*o - 175. Let m(y) = -6*s(y) + 7*u(y). Give m(l(x)).\nAnswer: 189*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 15*y**2 + 36*y + 24. Suppose 611*q = 409*q + 2424. Determine k(q).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 623875 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 1033*k**4 - 144*k**2 - 1995*k**4 + k**3 + 3*k + 958*k**4 as o*k + z + l*k**2 + i*k**3 + q*k**4 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 167, 9, -16, 4, -52, 5 in increasing order.\nAnswer: -52, -16, 4, 5, 9, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0784 to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s**2 - 179*s - 1557. Let u be z(-10). Does -16 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4 - 8. Suppose -s*j + 2 + 14 = 0. Let u = 12 - 7. Solve -u*q + 2 = -4*m, -j*q - 4*m = q + 22 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*v - v - 6 = 0, -u - 4*v = -7. Suppose -54 = -u*i + 6. What is the common denominator of (-179)\/i + 1\/(30\/(-4)) and -62\/15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-40))\/((-92)\/230).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21480228 and 1782.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*a - 7*a. Suppose -3*i + 33775 - 8815 = a. Is (-6)\/(-14) + i\/56 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3780)\/(-99) + -15 - (-2)\/(-11). Solve -3*p - 4*m = o, -2*m = -5*p - 2 + 7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*p + 25*p - 10 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -166325.199 rounded to the nearest 1000?\nAnswer: -166000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32714*r**3 + r - 32716*r**3 - r.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 275 = 7*n. Suppose n = -9*u - 17. Let m be u\/(-8) + 0 + 6. Solve 0 = -3*l - 2*r - m, -l + 5*r = 2*r - 16 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2345 and 487291?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/3 + (-62)\/(-3) is divided by (-93)\/(-8) - 3\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 9 = 0, -3*d - 2*l = 6 - 15. Let h = 1 + d. Suppose -h*r = -4 - 0. Solve 0 = 2*m - r + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*s**3*y + 251379*s**3 + 2*s**2*y - 32*s**2 + 2*s*y - 1379*s - 279*y + 2 wrt s.\nAnswer: 12*s*y + 1508274*s + 4*y - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 90589063 at most 90589062?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14154 + -1126?\nAnswer: -15302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 429456 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 70058599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 2*j + 0*j)*(165*j - 11*j - 6*j).\nAnswer: -296*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -127116461, -127116463, -127116465, -127116467, -127116469?\n\"Answer: -2*v - 127116459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -8. Solve t - 5*t + 16 = j for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 35 + -3*2*(-5)\/30?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44 (base 6) to base 5.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2797 at most as big as 2799?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/8325 and 23\/1080.\nAnswer: 199800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.1 - -7.224. Let f = y - 0.914. What is f rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.9 and -0.45318.\nAnswer: 1.767402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*d - 66 = -3*d, -4*t = 3*d - 70. What is the remainder when t is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -3880411.\nAnswer: -1940205.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53101 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -1. Let a(v) = -19*v**2 - 4*v - 1. Let k(p) = -19*p**2 - 5*p - 1. Let o(f) = -5*a(f) + 4*k(f). What is the remainder when o(n) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 529 + -332. Differentiate -199 + 3*c**4 - 2*c**4 + j wrt c.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*b**3 + 942348*b**2 + 6510040*b - 573216 = 0. Calculate b.\nAnswer: -10236, -7, 2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 320118?\nAnswer: 2, 3, 53353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2721519 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2\/3, 28 in decreasing order.\nAnswer: 28, 2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 477282073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*q - q - 18*q + 89*q + 322*q.\nAnswer: 511*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 109827.\nAnswer: 109827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4 + 212628*o**3 + 850544*o**2.\nAnswer: -2*o**2*(o - 106318)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 117b38 - 0?\nAnswer: 117b38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -15 (b) -4 (c) -0.06 (d) 2 (e) 4 (f) -323\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*c + 168 = 82 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*a**2 + 43*a**2 + 4*a**4 + (-2 + 2 - a)*(5*a + 2*a**3 - 5*a) - a**4 - 5*a**4 + 3*a**4)*(-12 + 2 + 2).\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + sqrt(70) + (1*sqrt(70) - sqrt(70))*2 - (sqrt(70)*-2*-1 + sqrt(70)))*1)\/(sqrt(90) + sqrt(90)*-2 + sqrt(60)\/sqrt(6)*5).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 4:43 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, 0.42126, -7?\nAnswer: 0.42126","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from urrjrrururururguur. What is prob of sequence uj?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j = 5*j + 14. Let u be j - -1*(147\/12)\/(-7). Let d = -24.7 - -26.7. Which is the nearest to u? (a) -5 (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 q when two letters picked without replacement from itltmmilltqili.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0.01. Let r = -0.31 - d. Let t = 0.26 + r. What is t rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23906895.\nAnswer: 3, 5, 41, 38873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5064*x - 5061*x - 3 - 9, 5*t - 8 + 35 = 3*x for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 636984 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 46 = 74. What is the remainder when 156 is divided by p\/(-22) + 1312\/44 + -2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 11, n: 5}. Give prob of sequence bbnn.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**3 + 13000*m**2 - 1829365*m - 32577360 = 0. Calculate m.\nAnswer: -2733, -16, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 9 = -3*c, -3*c - 5*d + 40 = 9 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -156713700?\nAnswer: -156713701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = -2*r. Suppose q = -2*i - 10 + 22, r*q + 5*i - 29 = 0. Suppose -4*v + 290 = q*b - 136, -2*b - 2*v + 436 = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gpgmsymyggm. Give prob of sequence pgm.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y - 1. Let z be u(7). Let l = 20 - z. Suppose l*h = 3*h + 32. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -100.062 from 0.8003271.\nAnswer: 100.8623271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -6206\nAnswer: 620.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 571 (c) -1\/8 (d) -0.03 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + 0. Let h be k\/(-7)*70\/(-10). Let b(a) = 8*a - 6. Let d(l) = 23*l - 17. Determine h*d(y) - 17*b(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*l**2 + 155*l**2 + 44*l**3.\nAnswer: 44*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 708 and 804?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4*p = 102 - 141, p = 4. What is the remainder when 12626 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2*j + 18 = 0, -8*j + 9*j = -7. Which is the closest to 2? (a) 4\/7 (b) 0.191 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/25)\/(h**(3\/14)\/h))**(19\/2))**28 assuming h is positive.\nAnswer: h**(5491\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5*v**2 + 6*v - 4*v**2 - 3 - 2*v**2. Give b(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 512022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5130 at least 5132?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 205859 and 10367.\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*o - 165*o + 330*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + -42 + 22 + 18 - -3?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 5*k + 0*k)*(-k + 0*k + 3*k) + (-3 + 7*k + 3)*(3*k + 3*k - 7*k)*(6 + 4 - 6)*(1 + 1 - 15).\nAnswer: 368*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.88337t to milligrams.\nAnswer: 84883370000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -b**7\/42 - b**6\/4 - 11*b**5\/12 - 5*b**4\/4 - 36*b**2. Determine p, given that x(p) = 0.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 182 = 54. Does 15 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**4 + 200*x**3 + 6300*x**2 + 3600*x - 72576 = 0. What is x?\nAnswer: -21, -4, 3, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0756946365 - -0.04?\nAnswer: -0.0356946365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 4*t**5\/5 - t**4\/6 + t**2\/2 - 2*t + 7. What is the hundreds digit of g(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -2*y**2 + 1\/525*y**7 + 1\/150*y**5 + 0*y**4 - 1\/150*y**6 + 0*y + 0 + 0*y**3. Factor q(z).\nAnswer: 2*z**2*(z - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k - 14*k = -15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 11*q - 8. Let i be h(10). Suppose i + 3 = -w. Is w\/(-10) + (-182)\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 5. Let b be (k + 3 + 0)\/(-2). Suppose b = -4*t - 4, -44 = -0*m - m - t. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1732948960 divided by -4?\nAnswer: -433237240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11607 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -7) + -2 + -8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnwnnwnnn. What is prob of picking 2 n and 1 w?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mq when two letters picked without replacement from bqbqm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28700 = -69*x + 19*x. Let t = 574 + x. Solve t = -4*v + 4*a + 20 - 4, v + 4*a + 21 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g - 8. Calculate s(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 88 = -3*c. Suppose w + c = 3*w. Does 22 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3555385083 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1*(-1 + sqrt(1377)) - (sqrt(1377) + sqrt(1377)*-1 + -4 + sqrt(1377)) - -5*(sqrt(1377) - (sqrt(1377) + 1))*-6)*-3*-4)**2.\nAnswer: 627264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23376 + 23570. Suppose -o - 195 = -2*o. Do y and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 536*g**3 + 484*g**3 - 1141*g**3 + (3*g - g + g)*(-5*g**2 + 2*g**2 + 2*g**2).\nAnswer: -124*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (6\/9 - 0)*30\/(-4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of f**6\/180 - f**5\/90 - f**4\/18 + 3*f**2\/2 - 4. Let p(n) be the second derivative of q(n). Factor p(w).\nAnswer: 2*w*(w - 2)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65815 divided by 5.\nAnswer: 13163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 2*k**2 - k - 5. Let z be b(-3). Let v(s) = -1814286*s + 2. Let n be v(z). What is n rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 7*p - 3 - 1 - 1. Let a(i) be the first derivative of -3*i**2\/2 + 2*i + 51728. What is 5*a(w) + 2*x(w)?\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 10a88?\nAnswer: 10a84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1015 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**3\/3 + 118*j**2 - 2*j\/3 - 118 = 0.\nAnswer: -177, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*m = 17211, -3*m + 102501 = 4*j + 33672. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 19764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1881)\/22*2\/3. Let p = 77 + a. Solve -14 + p = 3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -21289, -42577, -63865, -85153, -106441, -127729?\n\"Answer: -21288*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 33148, 33125, 33106, 33091?\n\"Answer: 2*a**2 - 29*a + 33175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011.2 years in months?\nAnswer: 132134.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21120 - 0?\nAnswer: 21120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of k**5\/20 + k**2\/2 - 4*k - 10. Let a(w) be the first derivative of f(w). Calculate a(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1743\/83 - (-1 + 21). Is j smaller than -75\/622?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**3 - 20*o**2 - 13*o - 12. Let x(c) = -8*c**3 + 3*c**2 + 5*c + 3. Let j be x(-1). Is b(j) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*d**3*r*t**3 - 14370188*d**3*r + 3*d**3*t**2 - 1031*d**2*t**3 + 787*d**2*t with respect to r.\nAnswer: 20*d**3*t**3 - 14370188*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17169111 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 337 - 336. Let u(w) = -w**3 + 4*w**2 + 5*w - 6. Let g be u(5). Put -2, g, a in increasing order.\nAnswer: g, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 156, 1284, 4380, 10440, 20460, 35436, 56364, 84240?\n\"Answer: 166*d**3 - 12*d**2 + 2*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 314*h - 311*h + 135, 410 = -z + 4*h + 595 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, h: 1, t: 2, w: 9}. Give prob of sequence yhtt.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4391804*s**2 - 3709353.\nAnswer: 8783608*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 104*n + 214*n - 447*n in the form u*n + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20419?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j - 5632 - 5361 + 1975 - 304 - 741 to i + l*j and give i.\nAnswer: -10063","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q - 45210324 + 45210323 - 241*q**2 + 5*q as t + n*q**2 + o*q and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 196 = -q. Suppose 3*z = -3, 5 = -2*v + 2*z + q. What is the remainder when 82 is divided by v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1518876607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0*a*a*a\/a**21*a)**(-2\/101))**(-8\/3) assuming a is positive.\nAnswer: a**(-272\/303)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4*(6*4*(sqrt(1617)*-2)\/((sqrt(12) - sqrt(192))\/sqrt(4)))**2 + -1.\nAnswer: -551936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 10:51 PM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*r**3 + 2*r**3 + 3*r**3 + (-2*r**2 + 0 + 0)*(-r - 2*r + r) + r**3 - 2*r**3 - 7*r + 8*r.\nAnswer: r**3 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1217 - -5?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11348 divided by 207?\nAnswer: 11348\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v. Let c(a) be the third derivative of -a**6\/144 - a**4\/24 - 2*a**2. Let h(s) be the second derivative of c(s). Give y(h(t)).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 6:01 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58894 and 7172.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 50 - 125 + 64 + 10*x + 207*x**2. What are the prime factors of r(2)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + -2*sqrt(119)*-6)\/(-3*sqrt(1008)) + (-3*(sqrt(170) + (sqrt(170) - sqrt(170)*-2 - sqrt(170))))\/(sqrt(10) + sqrt(360)*1 - sqrt(10)).\nAnswer: -67*sqrt(17)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 - -5 - (-82 + 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -177 + 361. Let v = 259 - q. Is 25 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78827 divided by -78827\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + 2*f + f)*(-376*f - 56*f**3 + 376*f + (f**2 - 2 + 2)*(-2*f + 0*f + 4*f)).\nAnswer: 108*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/1)\/((-12)\/4))\/(12368\/1706784)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 601*y = 15411 + 7427 for y.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -9*j + 53. Let g be x(6). What is the third smallest value in -1\/9, -5, -1\/2, g?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w. Let f(g) = -50*g - 22. Let q(n) = -7*n - 3. Let j(s) = 6*f(s) - 44*q(s). Calculate j(k(z)).\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -62*i*n*x**2 + i*x**2 + 4*i*x - 3*n*x**2 - 3*n + 23 wrt i?\nAnswer: -62*n*x**2 + x**2 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11805090 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2390406 and 21942?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -17. Let c(q) = 3*q**3 + 8*q**2 - 4. Let k(x) = x**3 + x**2 + x - 1. Let o(b) = a*c(b) - 2*k(b). Is o(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33233223020 + 10?\nAnswer: 33233223030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*a**2*u**2 + 49172*a**2*u + 7*a*u**2 + a*u + 165*u**2 + 2 wrt u?\nAnswer: 14*a**2 + 14*a + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10522 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: What is the tens digit of 651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56452.\nAnswer: 2, 11, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m + 59. Let h be (-436)\/(-22) - (-4)\/22. Let v be u(h). Sort 7, v, 5, 0.5.\nAnswer: v, 0.5, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 23 - 40 + k - k**2 + 14. Let d(i) = 4*i**2 + 5 - 3*i - 2*i**2 + i. Calculate -3*d(z) - 5*m(z).\nAnswer: -z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -u**7\/490 + u**6\/280 + u**5\/28 + 3*u**4\/56 - 1254*u**2. Solve f(k) = 0 for k.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -16*w**3 + 3*w**2 + 6*w + 17. Let k(t) = -48*t**3 + 10*t**2 + 20*t + 50. Let q(h) = 20*d(h) - 6*k(h). What is the derivative of q(j) wrt j?\nAnswer: -96*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(20\/(-14))\/10?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.47021 in 3\/10, -1\/2, 1\/3, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1120965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 - (0 - 10)) + 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 2*f - 2. Calculate the remainder when v(-6) is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -5\/6, -4, -0.044, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3163978 to the power of 1\/2, to the nearest integer?\nAnswer: 1779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4406*m - 11 = -k + 4409*m, 3*k = -5*m - 9 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21\/877 or -728?\nAnswer: -21\/877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 5) + 2 - 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1168, 993, 776, 517, 216, -127, -512?\nAnswer: -939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 744937\/8 + (5 - 943\/184) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 89*q**2\/3 + 2771*q\/3 + 6840 = 0. Calculate q.\nAnswer: -19, -1080\/89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 36423458 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-937 + 3420 - 2939 - 4660 - 5301)*(0*q - q - q).\nAnswer: 20834*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -j**6\/60 - j**4\/24 - 3*j**2\/2 + 2*j. Let n(l) be the first derivative of k(l). Find the second derivative of n(c) wrt c.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven fifteenths of a hour in minutes?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k**3 + 5380206*k**2 - 657882052020*k + 1076519860488 = 0 for k.\nAnswer: 18\/11, 244554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, i: 5, x: 1, e: 2}. What is prob of picking 1 i and 1 e?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 + v**3 - 2*v**3 - v**3 - v**3 + 0*v**3 + (2*v - 2*v + v**2)*(-2*v + 1 - 1) - 7*v**3 + 7*v**2 + v**3 - 2*v**2.\nAnswer: -12*v**3 + 5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*h - 1744 = -416 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 6*t**2 + 7*t - 5. Let y(w) = 7*w**2 + 8*w - 6. Let l(n) = -n**2 - 3*n - 6. Suppose -o - 5 = -3. Let v be l(o). Give v*y(f) + 5*j(f).\nAnswer: 2*f**2 + 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5\/3, 13, 0 in decreasing order.\nAnswer: 13, 5\/3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1767359092.\nAnswer: 2, 441839773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*n - n**2 - 8*n)*(-3 + 3 - 28*n) to w*n + s*n**2 + v*n**3 + u and give v.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 12:47 AM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {f: 3, n: 8}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 12 = -0, 13 = 5*a - h. Let g(b) = -462*b - 6. Let t be g(1). What are the prime factors of ((-9)\/27)\/(a\/t)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -3*l - 4, -5*g = 5*l - 7*l + 20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -6. Suppose -5*i + s*q + 872 = -91, -378 = -2*i - q. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/30)\/(9\/30). Let y be (12\/(-21))\/((-216)\/420). Determine m so that y*m + c*m**2 + 4\/9 = 0.\nAnswer: -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z - 73. Let i be p(-39). Suppose -50641799 = 3*s + i*t - 4351809, t - 2 = 0. Round s to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -2\/35, -0.5, 0.5, 2, 6\/11, 0.3?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z - 4. What is g(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (88 + (-8400)\/96)*(-1)\/((-2)\/(-4)). Sort -5, 0, -2, 23, l in descending order.\nAnswer: 23, 0, l, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324)*2)\/sqrt(12).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = t + 9. What is the remainder when 47 is divided by 4*4 - (t - 3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 16*d - 13*d - 22. What is the least common multiple of 78 and d?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2967, 6135, 9303, 12471?\nAnswer: 15639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80064*u**2 - 3527*u + 80618*u**2 + 3529*u.\nAnswer: 554*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 21*j**2 - j + 1. Let k = -3118 - -3119. Give s(k).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4113198252.\nAnswer: 2, 3, 38085169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d + 8. Let o be s(-15). Let g be 0\/(-1) + 2\/13. Put -1\/2, o, g in decreasing order.\nAnswer: g, -1\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 68208.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4774*t**2*z - 41*t**2 - 4*t*z - t + 11*z - 14 wrt z.\nAnswer: -4774*t**2 - 4*t + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, 144.4, -0.4.\nAnswer: -0.4, 2\/21, 144.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/2203712 and -47\/20.\nAnswer: 11018560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 3*k + 5. Give u(11).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 54*x**2 + 122*x - 57. What is the hundreds digit of p(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwbcupppppupccwkkkc. Give prob of picking 1 k and 1 u.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -61, -69, -91, -133, -201, -301, -439?\nAnswer: -621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -145, 2\/51?\nAnswer: -145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 0.01\nAnswer: -0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22224 = -24*g + 148*g + 21232 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/266 and 32\/5?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + (-2 + 1 - -3). Let p(c) = -c**3 + 2*c**2 - 2*c - 5. Let v be p(-2). Solve -4*m = -n - 4*n - v, 0 = o*n - m for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 - 63. Let y = n + 73. Let h be y\/(-12) - (2 + 1). Solve h = -c + 3*p + p + 16, 5*c - 4*p - 16 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3181*m = 3177*m - 3*t - 22, 2*t + 28 = 4*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z + 7. Let a(b) = b**3 + 4*b**2 - 3*b + 5. Let p be a(-5). What are the prime factors of n(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -62*f - 228 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 208969306 to the power of 1\/4, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 10 = -0*c. Let q be (-112)\/(-35) + (-1)\/c - -46. Suppose 4*i - 121 = -q. What is i rounded to 0 dps?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 less than or equal to 159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 764 - 3?\nAnswer: 761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 114*s**2 + 3. Let m(t) = 5*t - 108. What is z(m(o))?\nAnswer: 2850*o**2 - 123120*o + 1329699","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6309393 + -19225467. Let s be (-16)\/(-6)*30222333\/12. Let w = s + o. Round w to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 10*y**2 + 27*y - 21. What is the tens digit of p(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3814*a + 1764 = -3751*a. Solve s = -2*m + 31 - a, 0 = 2*m - 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 13*w - 2. Let l be u(-13). What is the closest to l in 5, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3030477557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**5 + 562*l**4 - 12398*l**3 - 440610*l**2 - 1821600*l = 0. Calculate l.\nAnswer: -15, -5, 0, 48, 253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 11. Let n = 112 + -66. Let f = n - 36. Calculate the smallest common multiple of f and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 12:20 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 373 and 746?\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 165\/(-44) + (-1)\/8*2. What is the units digit of t*6\/(-8) - -6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2483, -2484, -2483, -2480, -2475, -2468?\n\"Answer: t**2 - 4*t - 2480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -2*p - 49. Suppose p*i - 10*i = 1830. List the prime factors of i.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + 0.1. Let t = 4.9747 + 0.0253. What is the nearest to h in 4\/9, t, 0.5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -3*r + 3, -4*r + 13*o - 3 = 16*o for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -106*v**4\/3 - 497*v**3\/3 - 1137*v. Find the second derivative of w(d) wrt d.\nAnswer: -848","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 2*t**2 - 4*t - 1. Let s be k(-3). Suppose -s*b - 6 = 0, -4*b + 5 + 1 = -2*l. List the prime factors of l*((-10)\/(-6) + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/3)\/(10\/12). Which is the third smallest value? (a) -2\/19 (b) w (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**3 + 3354*v**2 = 0.\nAnswer: -1118, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 207, 206, 203, 198, 191, 182?\n\"Answer: -r**2 + 2*r + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 42240, 84479, 126718, 168957, 211196, 253435?\n\"Answer: 42239*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(315\/423) - (1 - 8). Which is the nearest to f? (a) 482\/7 (b) 0.5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -165, -132, -99, -66, -33, 0?\n\"Answer: 33*p - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by -12?\nAnswer: -13\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -28*k**3 + 7*k**2 + 4*k + 19. Let z(t) = 5*t**3 + t**2 - t - 2. Determine v(j) + 6*z(j).\nAnswer: 2*j**3 + 13*j**2 - 2*j + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -8. Suppose -o = n - 6*n - 5, -2*o - n - f = 0. Determine a so that 0*a**2 + o*a**4 + 0 + 0*a - 1\/2*a**3 + 1\/2*a**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - y - 10 = -4*l, 3*y + 3 = 0. Let j = 4 - l. Suppose 4*v + j*x + 18 = 9*x, 6 = 2*x. Sort 0, 76, v in decreasing order.\nAnswer: 76, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 b when two letters picked without replacement from {h: 1, r: 1, b: 3, i: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 393*n - 100980 = 49*n - 1165*n + 1632 for n.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16 or 4369\/297?\nAnswer: 4369\/297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -8 - (14 - 11).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 146 - 133. Solve -3*y = 2*n - 9, 2*y - 3*y = 4*n - a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -748 <= -741?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465 is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 163 + -106. Suppose 5*s = 5*o + 66 + 9, 5*s - b = -o. Calculate the remainder when 69 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -801 or -800?\nAnswer: -800","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + d - 5*i - 35, -10 = -2*i for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**4 - 76*m**3 + 196*m**2 + 604*m + 336 = 0. Calculate m.\nAnswer: -21, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*n - 3 = 0. Let h be -1*(-2 + n) + 0. Let b(u) = 4*u**2 - 3*u + 3. Is 7 a factor of b(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.9 + -0.9. Let x = w - 12.3. Put x, 2, -5 in ascending order.\nAnswer: -5, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4, 2\/15, -1, 2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 6*s + 382. Determine m(-51).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -5. Let w(u) = -u**5 + 4*u**4 - 9*u**3 + u**2 + 5*u. Let h(n) = 2*n**4 - 4*n**3 + 2*n. Let g(z) = o*h(z) - 2*w(z). Solve g(m) = 0 for m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 805669 is divided by 135.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ipppppiiipiiipiiipp. What is prob of picking 2 p?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -22*r - 9. Is i(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - -49 - 1128\/21\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2005 + 3*q**2 - 2005 + q**3)*(-5*q + q + 2*q) + (0*q - q**4 + 0*q)*(3 - 5 + 1) to x*q**3 + l + w*q + t*q**4 + k*q**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bi when two letters picked without replacement from ooioiooiijbioioo?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 24*m**2 - 93*m - 65. Calculate c(15).\nAnswer: 565","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -155, -0.3, 3, -1, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 106*d**2 - 1367*d - 329. Determine z(-91).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -10 - 6\/(-18)*21. Put -2, l, 5, 16 in decreasing order.\nAnswer: 16, 5, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -14*y - 20*y. Let r(p) = -4*p**3 + 6*p**2 + 5*p + 1. Let t(a) = -a**3 + a**2 + a. Give y*r(x) - 6*t(x).\nAnswer: 2*x**3 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/2))**40*((k\/k**2)\/k*k)**(-1\/24) assuming k is positive.\nAnswer: k**(1441\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -4a1?\nAnswer: 4a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1730*r - 1928*r + 4382*r - 741*r.\nAnswer: -17*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2821 and -54082160.\nAnswer: -54079339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.803*-2.78211\nAnswer: -2.23403433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.112 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3 + 0)*(2*o + 2*o - o + (-3*o + o + 0*o)*(-1 - 1 + 3)).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3 = 4*a, 0 = 3*a - x + 7 + 5. Calculate the remainder when a*1\/(6\/(-176)) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m**2 + m. Let z be k(-1). Let b(d) = -3 - 4 - 2*d**2 - d**3 + 9*d**2 + z*d**3. Is 20 a factor of b(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7175*u + 11*u**2 - 7*u**2 - 2*u**2.\nAnswer: 2*u**2 + 7175*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 12\/1 + 12288\/(-450560)*3955\/9\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*h - 24 + 26 + 12*h - 5*h.\nAnswer: 59*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 94875 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/512512 and -103\/48.\nAnswer: 1537536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.80443ml in litres?\nAnswer: 0.00480443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -128*u + 1787. Let z be c(13). What is the greatest common factor of 9020 and z?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4297 or 4300?\nAnswer: 4297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215 + 215 + 254425*s**3 + 253774*s**3 - 508201*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2*(-15)\/(-6))\/(-1). Let n = 9 - b. Solve n*t = -t + 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from unununn. Give prob of sequence nunu.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 11) in base 10?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1253767, -1253743, -1253709, -1253665, -1253611?\nAnswer: -1253547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-7))\/(6\/(2\/1)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 5*i + y + 4, 4*i - y - 9 = 0. Suppose 0 = 2*h - 4*s - s - 2, 3*s - 30 = -4*h. What is the lowest common multiple of i and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 + 0*b + 108 - 291 - 4*b + 108 + 2*b in the form v*b + m + q*b**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 6*p**4 + 0*p)*(4*p - 4 + 4).\nAnswer: -24*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 4*j**2 - 13*j - 9. Let u = 56 - 49. Let n be t(u). Suppose p - n = -q + 44, 287 = 3*p - 4*q. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*t + 109*t**3 + 61 + 16915*t**2 - 16915*t**2.\nAnswer: 109*t**3 + 18*t + 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 518, -2\/13, 4\/11, 0.29679?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6399*h + 9 - 19203*h - 10 + 6 + 6402*h + 6406*h.\nAnswer: 4*h + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -21*f - 635. Let v(j) = -10*j - 254. Let p(h) = 2*c(h) - 5*v(h). Let m(y) = -103*y. Give m(p(t)).\nAnswer: -824*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 200?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 24 = -3*m, 4*m + 24 = -m - 3*j. Let t = -2 + m. Which is bigger: -4 or t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 7. What is the second biggest value in -0.4, 0, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03479, -2\/7, -0.2 in decreasing order.\nAnswer: 0.03479, -0.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 105*n + 8686. What is the hundreds digit of y(34)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 2:54 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4\/11 - -9\/55. Let d be (-115)\/25 + 4 - 13016\/90. Let t = 145 + d. Which is the smallest value? (a) -0.1 (b) t (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.19 - 1.09. Let f = 1.4 + -0.9. Let v = -0.01 - -0.31. Which is the closest to x? (a) -3\/7 (b) f (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(2 + 451\/(-220)) + (-2 - 3).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24923533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n - 6. Let j be a(3). Suppose -3 = -3*y, -j*c + 4*y + 5699 = -0*y. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -3064.\nAnswer: -3060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 2*u**2 + 6*u - 3. Is s(2) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1152247 is divided by 3612.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/25)*m*m**(2\/17) assuming m is positive.\nAnswer: m**(458\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - 14*d - 13. Let a be r(-13). Suppose a = -50*y + 49*y + 189. What are the prime factors of y?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -31208 - 53?\nAnswer: -31262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 90896493053 + -0.2\nAnswer: 90896493052.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 14. Suppose -d*r - 3 = -6*r. Let j = 9 + r. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*a + 2*p + 48, 0 = -2*a + 2*p + 32. Let r = -21 - -45. Calculate the greatest common divisor of r and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5*k**3 - 4*k**2 + 2*k + 2. Let c be p(2). Suppose -2*y = -2*n - 62, 13 = y - 4*n - c. What is the greatest common factor of 297 and y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5847.87 and 0.5.\nAnswer: 2923.935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 10, 5, -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 18*c**2. Let o(k) be the third derivative of -k**4\/12 - 8*k**2. Give b(o(q)).\nAnswer: 72*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 221374119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 + 14*j + 162. Let l be z(-6). Let s(x) = 9*x**2 - 8*x - 6. Let t(i) = 10*i**2 - 9*i - 7. What is l*t(h) - 7*s(h)?\nAnswer: -3*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 37\/5 of a day?\nAnswer: 10656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 29*y**3 + 4*y**2 - 2*y + 6. Let a be o(3). Suppose 2*p - 479 = a. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 18*f**2 - 19*f. Let s be k(-19). Suppose 5*r - r - 104 = 2*j, 5*j + 10 = s. Suppose -r = -2*h + 69. Is h not equal to 46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5890)\/(-496) + 2*(-1)\/(-16). Let j(p) = 63 - 8 - o*p - p**2 - 63. What is j(-12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 + 33 = -4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 415166, 1660677, 3736542, 6642773, 10379382, 14946381?\n\"Answer: 2*f**3 + 415165*f**2 + 2*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -18*i**4 - 20*i**3 - 10*i**2 + 220. Let q(f) = 6*f**4 + 6*f**3 + 3*f**2 - 73. Let d(u) = 10*q(u) + 3*y(u). Differentiate d(l) with respect to l.\nAnswer: 24*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4\/11))**(2\/91)\/((j\/(j\/j**(-14)))\/j)**(-6\/23) assuming j is positive.\nAnswer: j**(-90274\/23023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 685\/202, -2\/7, 1\/12, 0 in ascending order.\nAnswer: -2\/7, 0, 1\/12, 2, 685\/202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1896 and 1.6.\nAnswer: 1897.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 2\/3, -2.9, 41, 0.1, 3 in increasing order.\nAnswer: -17, -2.9, 0.1, 2\/3, 3, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -4534.10822 to the nearest 10.\nAnswer: -4530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -299440.17 to the nearest one hundred.\nAnswer: -299400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14922839383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.606605l?\nAnswer: 7606.605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 + 4 + 4)*(-175)\/(-30)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 0 + 0*c + 0*c - 2*c - 7. Let n(u) = -3*u**2 + 22*u + 4. Let j be n(7). Let y(h) = -4*h - 13. Give j*d(v) - 6*y(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -12. Let v(x) = -x + 6. Let a(l) = -2*l + 20. Let k(p) = i*a(p) + 8*v(p). Let m(g) = 2*g. Give m(k(o)).\nAnswer: -4*o - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 54*z**2 + 45*z + 419. Determine w(53).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c**4 + 5061*c**3 - 31020376*c**2 = 0. Calculate c.\nAnswer: -8648, 0, 3587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(204) - (sqrt(204) + 1*sqrt(204)*3)) + sqrt(204))\/sqrt(12) + -4 + sqrt(272) + -5)**2.\nAnswer: -36*sqrt(17) + 149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 189 and 9327879.\nAnswer: 65295153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 7*y**2 + 33*y - 2982. Calculate c(-23).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away 4028457?\nAnswer: -4028457.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.1 (b) 1 (c) 1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30.89 + 26.057. Let i = 0.067 - t. Let a = i + -4.899939. What is a rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3269814 at least as big as -3269816?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9800324 years in centuries?\nAnswer: 0.009800324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -223*i - 2. Let a(y) = -y**3 - 10*y**2 + 11*y + 2. Let s be a(-11). Let q be k(s). Let l = -263 - q. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -3.4. Let v = f - 11. Let m = 0.4 + v. Put 3, 2, m in descending order.\nAnswer: 3, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15333.2273 to the nearest one hundred.\nAnswer: 15300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6.6 (b) -0.5 (c) 16.3 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202898.\nAnswer: 2, 101449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -9. Let x(b) = -b + 0*b + b - y*b. Let s(k) = -6*k. Calculate x(s(d)).\nAnswer: 18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**3 - z**3 - 37*z**3)*(-30*z - 43*z + 34*z) + 0*z**4 + z**4 - 3*z**4.\nAnswer: 1363*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7047845 and 0.05.\nAnswer: -352392.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of u**2 + 3*u + 14 - 12 - 30. Let b be o(2). Solve 2 - b = h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(1 + (-3)\/6). Does 4 divide (h - -1) + -5 + 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80370)\/342*((2\/20)\/(-1))\/((-39)\/(-26)).\nAnswer: 47\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -38*q**2 - 4*q - 1. Let g(r) = -39*r**2 - 5*r - 1. Let i(d) = 4*g(d) - 5*p(d). Let t = 1364 - 1363. What is the units digit of i(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.473 rounded to one decimal place?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (63\/7)\/9 - 5. Let p be (-2)\/8 - 38\/(-88). What is the nearest to i in -5, -0.5, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n*n**(1\/3))\/n)\/n*n\/(n*n\/n**(-5)))\/(n**(-1\/3))**(-3\/41))\/((n*n**4)\/n*n**(-5)\/n*n**5*n**7) assuming n is positive.\nAnswer: n**(-1930\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1617*k + 1708*k + 1768*k + 1701*k - 6792*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 723 or 721?\nAnswer: 721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z + 1 - 34 = 0. Suppose -15 = z*w, -35 - 7 = -s + 2*w. Is 16 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2791 - 5581 + 2790 + w. Let j(p) = 4*p - 3. Calculate 6*c(v) - j(v).\nAnswer: 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 42*o + 22. Let u be i(18). What is the hundreds digit of 6\/15*(5 - u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 133794 and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 7:33 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6766153 to the nearest integer?\nAnswer: 2601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4037 (base 9) in base 3?\nAnswer: 11001021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 84\/17 != 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1375906 is divided by 202.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 + 251*t + 1944.\nAnswer: (t + 8)*(t + 243)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -104*s**2 - 3000401*s - 28850 = 0.\nAnswer: -28850, -1\/104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -0.2 (c) -950781 (d) 3 (e) 4\/5 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13979?\nAnswer: 7, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/9*4\/((-8)\/3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 - 80 = 13*i + 5 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**5 - 26 - 572*u**4 + 572*u**4 - 2*u**3)*(-81 - 32 + 34).\nAnswer: 158*u**5 + 158*u**3 + 2054","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 592.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-5) - (-27)\/315. Suppose -201 = 10*m - 7*m. Let i = m + 64. What is the fourth smallest value in -2\/17, s, -1\/7, i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 5*w**3 - 2*w + 1. Let x be k(1). Suppose 0*c = -x*c - 8. Is (c - 75\/(-3)) + 0 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2 = -4. Let d be (-1)\/2*(g - 8). Suppose 4*q + l = 2*l + 45, 5 = -d*l. Does 5 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6474*a + 12*a**2 + 6474*a - 10*a**2 + 71.\nAnswer: 2*a**2 + 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -14*a - 135. Let w be q(-10). Solve -146*m = -141*m + w for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -79015493*l**2 - 303579504*l wrt l?\nAnswer: -158030986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (15\/54*3)\/(127435\/(-29128))\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000081859381 rounded to 6 decimal places?\nAnswer: 0.000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 9*t = 110. Is 10 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -1.3 (c) 5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 65.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (6 + 11)) + -6?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 2) to base 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 0 + 220\/(-5). Let v = -36 - u. Let l = 4 + v. Is 2 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 - 15. Let b be (-64)\/20 + 3\/q. Suppose -l - 2 = l. Sort b, 3, l in increasing order.\nAnswer: b, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -391 and 5.\nAnswer: -386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-37)\/(-56) - (12\/(-15))\/(154\/(-55))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2182273\/44 = -49597?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299 = -2*l - 18*l - 81 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from peeeqeeeqeppeee. Give prob of picking 2 q.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - -1)*(-4)\/(-4). Suppose -z*s - a = -808, -3*s = 2*s - 5*a - 820. What is the highest common divisor of s and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 3*s. Suppose -4*w = -20, d - 2*w + 4 = -4. Suppose -5*i = d*i - 203. Solve -3*x - 3*j = -4 + 1, x - 5*j + i = s for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-40))\/(5\/((-300)\/(-8)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -718.4422 rounded to the nearest ten?\nAnswer: -720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 - -19. Let q = b + 18.8. Let k = q - 1.89. What is k rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 92903 and 0.5.\nAnswer: 46451.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 53307031.\nAnswer: -5330703.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 564652056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -84, -1\/3, -1\/4, -6, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 131232943 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4635 by -927.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*d**4 - 9*d**4 - 5*d**4)*(-15 + 3 - 10)*(-2*d + d + 4*d).\nAnswer: 2310*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 1)*(-t + 5*t - 2*t + (-2 + 4 - 1)*(-80*t + 15*t - 24*t)) as j*t + i and give j.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 121 = -23. Let v = t + 22. Let f be (-6)\/v*3*3. Solve 0 = -4*b - 4*j - 12, -3*b + f*j - 6 = 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118169.\nAnswer: 118169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2 + 2*c - 2. Let z be h(-3). Let x = z - 8. Suppose 0 = -x*l - 1 + 29. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 4, c: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4312 + 1004?\nAnswer: 10321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - ((-1*sqrt(204) - sqrt(204)) + sqrt(204))*-6 - (sqrt(204) + sqrt(204) + sqrt(204)*-1)*5)\/(-6*2*sqrt(3) + sqrt(27)\/(sqrt(45)\/sqrt(5))).\nAnswer: 20*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -132, 0.4, 4, -1\/4, -36, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*g + 273*g + 143*g + 89*g - 77*g + 910 wrt g?\nAnswer: 424","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -13. Let w = u - -8. Let j be (-18)\/(7\/w + 2). What is the highest common divisor of j and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 5*z**2 - 4*z + 4. Calculate a(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6399*g**6 + 21508*g**2 wrt g.\nAnswer: -767880*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 296 = -j + 1595, 7*j = -4*a + 13157. What is the remainder when j is divided by 188?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**6\/120 + 2*i**5\/15 + i**4\/4 - 2*i**3\/3 - 3*i**2. Let n be y(-7). Solve -2*z + 19 = 5*v + 4, -2*v - n*z - 5 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {y: 14, e: 4}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**2 - 5*d - 1. Let g(y) = -3*y**2 - 6*y. Calculate 2*g(n) - 3*s(n).\nAnswer: 3*n**2 + 3*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 8 + (246 - 349).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + x + 968, -2*x - 392 = -3*q + q. What are the prime factors of q?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.5205 rounded to zero dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*w - 72. Suppose 0 = -3*g + 11 + 19. What is the remainder when w is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + (-12)\/4 + 2\/1. Suppose -5*g = -5*r + 85, 8 + 36 = -q*g + 4*r. What is the common denominator of (-3766)\/(-312) + g\/78 and 9\/28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2079 = -5*w + 11084. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1689*f + 56308 + 7874 for f.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 125 - 31. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00610581464 rounded to 5 decimal places?\nAnswer: 0.00611","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -431*n + 627*n - 392 = 0. Solve 0 = -3*d, 20 = 5*l + n*d - 6*d for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 20, -3*d - 3*h = -4*d + 6658. Is 30 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 16 + 19. What is the nearest to -34 in -0.2, 0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 20*a**2 - 2*a - 3. Let f(m) = 100*m**2 - 10*m - 14. Give 3*f(g) - 14*y(g).\nAnswer: 20*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*d - 5610 = -41*d - 35*d for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -19, -44, -77, -118, -167, -224?\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 6*n + 3. Let y be u(25). Suppose 0 = -6*r + 159 + y. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3394976361 to the power of 1\/2, to the nearest integer?\nAnswer: 58266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 718459.4ms?\nAnswer: 718.4594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79 - 53. What is the remainder when (3\/(-12))\/(1\/(-404)) is divided by d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.296 * 0.19.\nAnswer: 0.05624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/3)\/(1612\/(-2418)))\/(-31)?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03+2351531493278\nAnswer: 2351531493278.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 times -0.02?\nAnswer: -5.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -2*sqrt(432) + sqrt(432))*1 - -1*((sqrt(432) - sqrt(432)*-4*-3) + sqrt(432)))**2.\nAnswer: 1320*sqrt(3) + 52297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-6)*u\/(u*u\/(u\/(u\/(u**(-1\/2)\/u*u))*u))*(u**(-2\/5)\/u)**(-2\/7) assuming u is positive.\nAnswer: u**(-61\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*l - 1140 = 4*l. Find the common denominator of 61\/50 and 27\/(-9) + (4994\/l)\/11.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/15*(-36)\/(-600)*-3.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15481765 to the nearest integer?\nAnswer: 3935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16414 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/(p\/(p\/p**(-1\/10)))*p*p\/(p\/p**(27\/7))*p**(-11)*p**(-8\/13) assuming p is positive.\nAnswer: p**(-4239\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 1\/72*o**4 + 0*o + 0 - 1\/30*o**6 - 1\/40*o**5 - 32*o**2 - 13\/1260*o**7 + 0*o**3. Factor n(h).\nAnswer: -h*(h + 1)**2*(13*h - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**5 + 0*x**5 + 161*x**4 - 156*x**4 + 1 + (-2*x**3 + 4*x**3 + 0*x**3)*(3*x**2 + 3*x**2 - 4*x**2) + 4*x**5 - 2*x**5 - 3*x**5.\nAnswer: x**5 + 5*x**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g*g\/(g*g**12*g*g)*g)))\/g*g*g**(15\/7) assuming g is positive.\nAnswer: g**(-69\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*r**3 - 37*r**3 + r - 36*r**3 + 116*r**3 - r.\nAnswer: 19*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((40\/50)\/(-3*((-208)\/(-120))\/(-13)))\/14.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-6*sqrt(117))**2 - 5*(1 + -4*sqrt(13)).\nAnswer: -4217 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6431 and 1135.\nAnswer: -7299185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -7*q**3 - 5*q**2 + q - 2. Let o(p) = 6*p**3 - 22*p**2 + 7*p - 10. Let w(k) = -o(k) + 4*s(k). What is w(1)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 338633410?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1 + 1 + (466 - 469) + -20?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 11 = 3*r + 3*m, -2*r - 2*m = -6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l + 57*l**2 + 50 - 3*l - 16. Let b(r) = -19*r**2 + 3*r - 11. Let w(d) = -8*b(d) - 3*q(d). Differentiate w(p) wrt p.\nAnswer: -38*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**3\/5 - 22852*l**2\/5 + 1637568*l\/5 - 29429568\/5 = 0?\nAnswer: 36, 11354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10391506 * -0.1.\nAnswer: -1039150.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -26 + 5. Let z(i) = -i**3 + 6*i**2 + 9*i + 4. Let s be z(g). Solve -s = c + 5*w, -w = -c - 4*w - 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a - 55*a - 10230 = -102*a. Calculate the highest common factor of a and 60.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 573\/764*(-1)\/(-12).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005306715 take away 1095?\nAnswer: -1095.00005306715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -131 + 3?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 8*f + 4*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1084*o**4 - 13*o**3 - 93*o**2 + 1786*o.\nAnswer: -26016*o - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1190 and 3774?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 200 and 74300.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p - 4*p + 2*p)*(-14*p**3 - 61 + 61).\nAnswer: 70*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*t - 1 = -5, 4*k - 2*t = -6. Does 12 divide k\/(4\/(-1584)*1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -0.11, 9\/4 in ascending order.\nAnswer: -0.11, 9\/4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12121 times -254?\nAnswer: 3078734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (6\/5)\/(16\/400*110)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fkgfkfflt. What is prob of sequence kfkl?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.9 and 13?\nAnswer: -50.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 12*n + 5. Let j(t) = -2*t**3 - 6*t**2 + t - 14. What is the remainder when v(10) is divided by j(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(13)*-1 - sqrt(13)) + -1 + sqrt(26)\/sqrt(2).\nAnswer: -sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 177, 1090, 3561, 8370, 16297?\nAnswer: 28122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 37 - 18 = 5*u, 5 = o + u for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3692, -2\/9, -35721?\nAnswer: -35721","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 11, r: 3, w: 4}. Give prob of picking 1 r, 1 y, and 1 w.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(-9\/5))\/d*d\/((d\/(d\/(d**(-17)\/d*d*d)))\/d))\/(d**(-11)\/d**(-3\/16)) assuming d is positive.\nAnswer: d**(2241\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 190 and -36057270.\nAnswer: -36057080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven quarters of a century?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 893520.\nAnswer: -1\/178704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 85 + 35. Suppose -8*a - 3*a = -4*a. Suppose 5*o - o - 64 = a. What is the highest common divisor of o and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, k: 3}. What is prob of sequence kk?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -8037600 to the nearest one hundred thousand.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 3*g**2 - 3*g - 3. Let o be w(-3). Let m = -251 + 487\/2. Let f = m + o. Do f and -2\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(5\/(-55)*-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 6) in base 7?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 14 - 11)*(1906 - 1903 + 70*a + 60*a).\nAnswer: 1820*a + 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -436 + 246. Let a(t) = 64*t + 37. Let p be a(4). Let j = p + r. Calculate the remainder when j is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1787*j*q**2 - 1644*j*q + 6653156*j with respect to q.\nAnswer: -3574*j*q - 1644*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 22*n + 36*n + 22 - 19*n. Let a be -15*(-7)\/(-14) - (-2)\/4. Let t be o(a). Is t at most 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 2. Let k(b) = -136*b - 6. Let y be k(-1). Let p be (y\/10)\/(-1 - -2). Suppose -6*z = -19*z + p. Let n(v) = -1. Give z*s(g) + 2*n(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 52*f. Let q(d) = -2045*d**2 + 5*d + 2. What is z(q(k))?\nAnswer: -106340*k**2 + 260*k + 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3784\/(-215))\/(4\/(-150)). Let s be c\/(-24)*12\/(-5). What is the highest common factor of s and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23584196.\nAnswer: 2, 5896049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - 2\/(-7) - 24588\/(-84) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*w = 1 - 19, -18 = -2*k + 4*w. Suppose 5*q - 4*j - 22 = 202, j = -k*q + 148. Is q a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1336, -1729, -2048, -2257, -2320, -2201, -1864?\n\"Answer: 6*x**3 + x**2 - 438*x - 905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + -5046?\nAnswer: -5040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*s = 0. Let x = s + 5. Suppose 4*f + 4*v - 68 = 0, x*v - 57 = -2*f - f. Calculate the lowest common multiple of f and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111448?\nAnswer: 2, 13931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 4:18 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d. Let z be s(8). Let q be (1\/2)\/((-2)\/z). What is the remainder when -3 + q - (1 + -18) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b1 - -1975?\nAnswer: 1694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 25*l**2 + 1026*l + 1261. Give b(-21).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 119661 a multiple of 274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 65*u**3 + u**2 - 10*u - 8453.\nAnswer: 195*u**2 + 2*u - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, -756, 19 in ascending order.\nAnswer: -756, -5\/4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -323532, -323524, -323512, -323496, -323476, -323452, -323424?\nAnswer: -323392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -80 + 112. Let q be (-35)\/(-28)*(1 + -4 - 1). Let y(p) = -18*p - 79. Calculate the remainder when u is divided by y(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -22, 4, 0.5 in decreasing order.\nAnswer: 4, 0.5, -1\/4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.774 + -372.226. Let f = -374 - t. What is the nearest to f in -2\/23, -3\/2, 2\/3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, 1\/5, -1 in descending order.\nAnswer: 6, 1, 1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/5, -5\/3, 5\/2, 1?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3320395?\nAnswer: 5, 13, 23, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30\/7*k - 2\/7*k**2 + 32\/7 = 0. Calculate k.\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 526104042.\nAnswer: 2, 3, 367, 238921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 0*l = -l + 9, 5*h + 15 = 4*l for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 10*f. Let u(x) = -x - 9. Let m be u(-11). Let i(r) = 5*r**2 + 41*r. Let s(v) = m*i(v) + 9*n(v). Let w be s(9). Is 9 >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -1\/3, 3, -1, 0.11, 1.14 in decreasing order.\nAnswer: 3, 1.14, 0.11, -2\/13, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51)\/(-306)*(-20)\/((-4)\/2)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 9:39 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b + b + 3*b)*(-2*b + b - b) + 24*b - 24*b - 28*b**2 + 4*b**2 - 7*b**2 + b**2 to the form m*b**2 + n*b + x and give m.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/7, -1\/3, -1.4, -4, 0.3?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/8 (b) -3 (c) -5\/2 (d) 247 (e) -430\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in nineteen quarters of a micrometer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - cd?\nAnswer: -ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20\/3*j - 5\/3*j**3 - 1\/6*j**4 - 11\/2*j**2 - 8\/3.\nAnswer: -(j + 1)**2*(j + 4)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 30*a - 203. Let w be r(7). Solve -9*h + w = -2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12540 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvmmmmhmmmmmhhhhm. Give prob of sequence mh.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -9dc (base 15) in base 11?\nAnswer: -174a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -1\/12*g**4 + 0*g**5 + 0*g**6 + g**2 + 0 + 0*g + 0*g**3 + 3\/70*g**7. What is the second derivative of c(k) wrt k?\nAnswer: 108*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -112 - -114. Suppose -5*i - q*w + 757 = -w, 4*i + 5*w - 593 = 0. What is the remainder when i is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*q + 16*q + 2 - 32*q in the form s + r*q and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r - r + 67679*r**2 - 67723*r**2. Let p(c) = -22*c**2. What is u(p(y))?\nAnswer: -21296*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sseaihshshhahhsisshe. Give prob of sequence eis.\nAnswer: 7\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9172709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -5*j**2 - 11*j - 12. Differentiate l(g) with respect to g.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2716, -2724, -2744, -2782, -2844, -2936, -3064, -3234?\nAnswer: -3452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - (-94)\/6) + (-29)\/(-69).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5022*j - 131646 = -4651*j + 10859*j for j.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 556937 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + 8. Which is smaller: a or 14?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 228 + 45. Let r = 14 - c. Is 21 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*m - 238 - 1002. Solve -4*k + 0*b + b + 20 = 0, -m = -5*k + 5*b for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/1052?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2301*f - 28. What are the prime factors of c(9)?\nAnswer: 20681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-5685)\/(-25)*20\/6 - 4\/2 and 14?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in 1007, -12, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1032\/7 + 148. Which is the third smallest value? (a) o (b) 0.1 (c) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 5*l**2 + 4*l + 14. Suppose 18 = -y + 4*y. Let g be b(y). Suppose 3*m + 37 = g*n - 8, -48 = -2*n + 2*m. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 18, 42, 64, 78, 78, 58?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22.495 + 6.75. Let f = 10 - -19. Let v = g - f. Round v to 2 dps.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 26*y + 240. Let n be z(-9). Solve r = 5*t + 15, n*r - 4*t - 33 = r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-1 - (1 + -4 + 3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -93?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 7*z**2 - 9*z. Let t(x) = 15690*x**2. What is n(t(q))?\nAnswer: 1723232700*q**4 - 141210*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2158767 is divided by 6897?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*h - 27 = -3*s + 58*h, 11*s + 26 = h + 4 - 19 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 632 and -3298.\nAnswer: -2084336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20*(-7)\/9744*(-124)\/(-16) and -73\/1740.\nAnswer: 6960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*(c**(-2\/7)\/c)\/c))**2)**13*(c*c**(-2\/5))**(-27\/4)*(c\/c**(-1\/4))**24 assuming c is positive.\nAnswer: c**(15593\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 16, f: 3, x: 1}. What is prob of picking 1 x and 2 w?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 12:23 PM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -165 + 165.000000773. Round p to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 704 divide 2132337152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-27 + 32)\/((-5)\/(-184)). Solve -147*l = -170*l + j for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**3 - 5*x**2 + 4*x + 4. Let b be g(3). What is the greatest common factor of 175 and b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/33408 and -101\/4272.\nAnswer: 2973312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 436*k**3 - 436*k**3 - 208*k**4 + 219 wrt k.\nAnswer: -832*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.84427 - -1624.93873. Let j = -1637 + k. What is j rounded to 1 dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.2 + -8. Let v = q + 3.38. Let i = -0.52 - v. Are i and 1\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -41, -140, -339, -674, -1181, -1896?\nAnswer: -2855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 10. Let z = 7 - 4. Let f = -326 - -2930\/9. Sort n, z, f.\nAnswer: n, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(-12 + 12 - 10*x) + 4*x - 5*x - 2*x + (-3*x + 2*x + 2*x)*(-2 + 0 + 0).\nAnswer: -25*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5488 (base 9) to base 14.\nAnswer: 1693","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4\/3, -2\/7, 2, 0.24?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1640 + 1634. Suppose 5*f + 18 = -7. Which is smaller: r or f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22539?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*o**4 - o**3 - 2680247*o**2 + 55398167*o?\nAnswer: -60*o**2 - 6*o - 5360494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2)**(-6)\/(b**(-1)\/(b*((b*b**(1\/3))\/b)\/b)) assuming b is positive.\nAnswer: b**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1.1*96\nAnswer: 105.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 2*h - 4. Let b be g(-2). Suppose 2*c = -2*y, -b*c + 5*y - 35 = 10. Let r = -44 + 40. Put c, -2, r, 5 in descending order.\nAnswer: 5, -2, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j + 2*j - 7*j + 16*j**2.\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from ddduudd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 0)*7\/91. Let n(t) = -10*t + 2. Let u be n(-1). Let l be 3*u\/20 - 1\/1. Which is the second smallest value? (a) -1.6 (b) l (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 + 7*v + 6. Let m be p(-3). Suppose -2*b + s - 4 = 0, -4*b + m*b - 2 = -s. Sort b, -10, -4 in descending order.\nAnswer: b, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 791825614.\nAnswer: 2, 395912807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 6)*((g - 2*g + 2*g)*(0 - 1 + 2) - 3081 + 3079 - 23*g + 74*g) to the form h + o*g and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296139 is divided by 272.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15446125\/571 - -27051. Do 1 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8091 (base 10) to base 11.\nAnswer: -6096","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - h. Let t(o) = 0*o - o - 5*o**2 + 2*o**2. Let y be t(-1). What is the tens digit of d(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -939389*m - 2450*m**4 + 939389*m + (-6*m + 5*m + 0*m)*(-m**3 - m**2 + m**2).\nAnswer: -2449*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 1)*(2*l + 0 + 0) + (1 - 4 + 1)*(-l + l + 4*l) to h + z*l and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(637) + sqrt(637)*1 + 3 + sqrt(637) - (sqrt(637) + -6*(sqrt(637) + 0))) + 1)*-3*-6.\nAnswer: -3024*sqrt(13) - 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a week?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 125.002 - 125. Let z = 919 - 918.997826. Let y = a - z. What is y rounded to 5 decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l - 51. Let i be x(10). List the prime factors of i\/9 + 26072\/72.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1011696)\/(-21) + (14 - 14).\nAnswer: 2, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + -4*(sqrt(49) - sqrt(196)\/sqrt(4))\/sqrt(7)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1346 + 844. Let c = -502.0000438 - z. What is c rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 to the power of 1\/2, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + c**2 + c. Let n be g(0). Find the second derivative of -2*v + v**2 + n*v + 0*v**2 wrt v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -5*v**3\/3 + 104. Let q(y) = 111*y. What is o(q(k))?\nAnswer: -61605*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -7522 (base 9) to base 16\nAnswer: -1598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 709183 (base 16) in base 14?\nAnswer: da072b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*s**3 + 148*s**2*y + s**2 - 12*s*y + 769890*y wrt s?\nAnswer: 30*s**2 + 296*s*y + 2*s - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/1176 and 149\/3480.\nAnswer: 170520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 381290?\nAnswer: 4575480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/22 (b) -1980 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 22754 times -0.45\nAnswer: -10239.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5 = 3. Solve -2*m + 10 = 3*m, r*h - 2 = 2*m for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11880657 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -353497, -353495, -353493, -353491, -353489, -353487?\nAnswer: -353485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 384.87048 from 2462.\nAnswer: 2077.12952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ly when two letters picked without replacement from {l: 2, y: 17}?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/4 - 0) + (-70)\/(-8). Solve x + 1 - 13 = -4*t, 3*t = -2*x + g for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1955, 3918, 5881, 7844, 9807, 11770?\n\"Answer: 1963*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - t**5 + 0 + 0*t**5 + 3*t**5 - 2*t**5 - t**5 + 0 + 0 + (-3*t**2 - t**4 + 3*t**2)*(-3*t + 2*t - t) + 34*t**5 - 15*t**2 + 42*t**5 - 34*t**5.\nAnswer: 43*t**5 - 15*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11 - -3)\/(-4)*23. Suppose l - 64 = -n. What is the smallest common multiple of l and 202?\nAnswer: 1818","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39572017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 9:38 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*((-6)\/3 + -4). Suppose -3*s = 5*r - 185, q*r - 2*r = 3*s + 148. Is r - (0 + 3 - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 4, 0, 2, 7, 332 in ascending order.\nAnswer: -35, 0, 2, 4, 7, 332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p - 1. Let w be l(2). Let k(j) = j**3 + 6*j**2 - 8*j - 1. Let n be k(w). Suppose n = -4*i - 2. Which is greater: i or -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4*p - 32 = 0, 4*a + 5 = 4*p - 3. Let g(f) = 20*f**2 - 1369*f + a + 1367*f - 24*f**2 + 52*f**2. What is the tens digit of g(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(-3 - (1 + -3)). Factor -2*m**2 + 14*m**2 - 8*m**2 - 7*m**f - 4 - 8*m.\nAnswer: -(m + 2)*(3*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 158, 1259, 3346, 6623, 11294, 17563, 25634?\n\"Answer: 34*h**3 + 289*h**2 - 4*h - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b + 5. Let h(w) = -w. Let t be 128\/12*78\/(-8). Let u = t + 96. Let m(k) = k**3 + 9*k**2 + 9*k + 9. Let o be m(u). What is o*f(v) + 3*h(v)?\nAnswer: -v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 562.3394?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 - 28 + 21*s**3 - 3210*s - 76*s**3 + 3210*s.\nAnswer: -55*s**3 - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h**2. Suppose r + 4*a - 23 = 0, -3*a - 13 = -r - 5*a. Let b be -4*r\/(-6) - 0. Let y(v) = -2*v**2 + 4*v**b - v**2. Determine x(y(d)).\nAnswer: 3*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 15*m**2 - 2280. Let k(c) = -84*c. What is t(k(s))?\nAnswer: 105840*s**2 - 2280","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -123 + 113. Let m(p) = -3*p**2 - 30*p. Let z be m(s). Suppose -2\/7*o + 2\/7*o**3 - 1\/7*o**4 + 1\/7 + z*o**2 = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 2 = w - 4*f, -4*w = -3*f - 27. Calculate the greatest common divisor of w and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 137 + -64. What is the second derivative of -44 + 23*x**2 - 33 + l - 5*x wrt x?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*i*u**4 + 360825*i*u**2 - 389249319*i with respect to u.\nAnswer: -60*i*u**3 + 721650*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 2:34 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*f - 3. Let l = -318\/59 - -8644\/531. Factor -8\/9 + 80\/9*i - 290\/9*i**f + 470\/9*i**3 - 350\/9*i**4 + l*i**5.\nAnswer: 2*(i - 1)**3*(7*i - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -251*j**2*t - 599*j**2 - 4*j*t - 3*t - 6 wrt t?\nAnswer: -251*j**2 - 4*j - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + 59. Let t be 610\/(-3)*(-4)\/10. Let u = g - t. Sort -3, 0, u in ascending order.\nAnswer: -3, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6615\/81)\/49*3\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 45203 = 19*b. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2574 by 286.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of t**8\/560 - t**4\/12 + 2*t**3\/3 - 2. Let h(s) be the third derivative of l(s). What is the first derivative of h(x) wrt x?\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2602*h**5 + 13466*h**4 - 23096*h**3 + 14056*h**2 - 1824*h = 0 for h.\nAnswer: 0, 228\/1301, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66867652.\nAnswer: 2, 47, 355679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 114*d**3*i**3 + 1697721*d**3*i*p - d**2*i**2*p - 35*d*i**3 - 17015*d*i**2*p - d*p + 4*i**2*p - p wrt d.\nAnswer: 684*i**3 + 10186326*i*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1663858?\nAnswer: 2, 7, 17, 6991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10268 + 12638. Calculate the highest common factor of 90 and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5795599273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 12*u. Let m be z(1). Let g(a) = 5*a - 5. Let l(d) = -37*d + 2917. Let y(w) = 14*w - 1102. Let x(i) = 17*l(i) + 45*y(i). Calculate m*x(j) - 3*g(j).\nAnswer: -3*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1257624 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -30126.84 rounded to the nearest 100?\nAnswer: -30100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-10)*(-30)\/(-24). Let y = 8663\/3 - 2924. Let d = y + 328\/9. What is the third smallest value in d, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -6. Suppose 3*t - 102012 = 2*i, -4*t + 53122 = -u*i - 99894. Round i to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 42 = -5*c, -44 = 2*m + c - 3*c. Let b be 16*2*(-3)\/3. Let x = m - b. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1680 and 104496.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 17*w**2 + 13*w - 90. Let r be y(-18). Suppose r = -2*q + h + 1005, 0 = -4*q + 3*h + 990 + 1017. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hii when three letters picked without replacement from {b: 1, i: 11, h: 6}.\nAnswer: 55\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-2)*((-2)\/(-40)*32)\/2?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 + 64. Let z = 33 - v. Suppose -2*s + 13 = -g - 1, z*g + 32 = 5*s. What is the remainder when 13 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -12, 65, 6206?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -319.772718 rounded to the nearest ten?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2020295226 rounded to 5 dps?\nAnswer: -0.20203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**5\/5 + 38*p**4\/5 - 136*p**3\/5 - 16*p**2\/5 + 112*p - 544\/5 = 0 for p.\nAnswer: -2, 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 131, 264, 383, 482, 555?\n\"Answer: -f**3 - f**2 + 143*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2021.2 * -5\nAnswer: -10106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t - 37. Let d be v(11). What is the nearest to -1 in 0.42, -1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -5\/4 (c) 0.3 (d) -0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 21, 108, -447 in decreasing order.\nAnswer: 108, 21, 1, -447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -32. Let n = -5 - -5. Calculate the least common multiple of k and 1 + n - (-6 + -4).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49050769939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -592*r + 1310*r - 633*r as u + b*r and give b.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 325\/(-1040)*204\/20 and -37\/1144.\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 11:52 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -10*w**2 - 16*w - 2. Let l(p) = -11*p**2 - 17*p - 2. Let c(h) = 5*l(h) - 6*s(h). Let z be c(-2). Solve i = -z*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4820*y**3 - 4847*y**3 - 4863*y**3 + 14543*y**3.\nAnswer: 13*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1225 - -61752133790?\nAnswer: 61752133789.8775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -77*h**3*k**2 + 17*h**3*k*x**2 + 15*h**2*k*x**3 - 5*h**2*k + h*k**2*x**3 + 8*h*k**2*x wrt k?\nAnswer: -154*h**3 + 2*h*x**3 + 16*h*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 16, 1, 5, -0.3952 in ascending order.\nAnswer: -2, -0.3952, 1, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 204 + -202.01. Let j = 0.01 + g. Let z = j - 1.8. Sort -0.5, -1\/4, z in descending order.\nAnswer: z, -1\/4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 231 = -198. Solve -x + 3*h + 3 = 0, v*x + h - 1 = -2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 285*m**3 - 182*m**3 - 178*m**3 + 90*m**3.\nAnswer: 15*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 106 + 143. Suppose -2*i + 0*i + 5*j = -126, 4*j = -5*i + m. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-19 - 1) + 12 + -4\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 46512358*x**2 - 46512248*x**2 - 1.\nAnswer: 110*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (201*6\/(-9))\/(-1). Let j(w) = -t*w - 1 + 20*w**2 - 2 + 140*w. Is j(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41068 (base 14) in base 7?\nAnswer: -1221161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f\/(f*f\/(f**(-8)*f)))\/f)\/(f\/f**(-7)))**(23\/4)*f**(-6)*f*f*f**(-7)*f\/f**(1\/2)*f**(1\/3) assuming f is positive.\nAnswer: f**(-613\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 801408 to the power of 1\/3, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12\/(-5)*(-8 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -468360 rounded to the nearest 10000?\nAnswer: -470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 159\/2*a + 3\/2*a**2 + 225 = 0?\nAnswer: -50, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.084 (b) 2 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -34. Let r = 16 + n. Which is the closest to r? (a) -5 (b) -0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -702, -456, -220, 0, 198, 368, 504, 600?\nAnswer: 650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.32 - -0.18. What is the biggest value in -3, o, -0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/8837 - 79527\/17674. Which is the third smallest value? (a) -3 (b) -2 (c) -0.4 (d) 0.4 (e) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhj when three letters picked without replacement from {e: 4, r: 2, g: 1, j: 3, h: 3, b: 3}?\nAnswer: 9\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of 87*f**2 + 11\/480*f**6 + 1\/12*f**4 + 0*f + 0*f**3 - 3\/40*f**5 + 0 - 1\/1344*f**8 + 0*f**7. Solve m(y) = 0.\nAnswer: -4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 16*z - 10*z. Put z, -65, -2 in decreasing order.\nAnswer: z, -2, -65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(-4 + 6 - 3)*(-8*u**4 - 14*u**4 + 0*u**4).\nAnswer: 22*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (-8 + 1 + 2 - 6 - -14) + 39?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of r**4\/12 + r**3\/3 - 2*r**2. Suppose 2*m + 5*l = 22, -33 + 8 = -5*m - 5*l. Let c be -1 - m*(-2 + 4). Calculate b(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120 - 113 - 2*t**3 + 236 - 1949*t**2.\nAnswer: -2*t**3 - 1949*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8829\/(-3597))\/((-99)\/3630).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (6 - (13 + -13 + 13))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - 7f?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2491534*g**3*h**3 + 6*g**2*h**2 - g*h**3 + 107971*h**3 wrt g?\nAnswer: 14949204*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16*(-2)\/(-8) - 3. Let k(t) = -4*t**3 - 1 + t**3 + 4*t**3. Let f(o) = -5*o**3 + 4*o**2 + 4. What is x*f(a) + 4*k(a)?\nAnswer: -a**3 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.6226191 kilometers?\nAnswer: 622619100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1590789?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3, -2, -2\/11, -0.041?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 2*h - c + 1 = 0, -4*h = -4*c + 4. Suppose 5*y = u + 17, u + 0*y + 2*y - 11 = h. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 7*g**2 + 7*g + 5. Let o be b(-6). Let v(n) = -44*n**3 - n. Let j be v(o). Calculate the highest common divisor of 18 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144884713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79 - (1 + 4*4\/16)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 - 6 - 15 - (6 + -4 + -9).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/4 and -20\/21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2*t - 1 + 3, 3*p - t - 5 = 0. Suppose 3*x + p - 17 = 0. Let i(a) = -a**2 - 4*a**2 - a + 3*a**2 + x*a**2 + a**3. What is i(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -6. Let a = 27 - r. What is the smallest common multiple of a and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19932 and 14?\nAnswer: 139524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*h + 592416 = 49*h. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 368*q**2 + 772*q + 10. Let a(s) = 371*s**2 + 772*s + 12. Let t(y) = -5*a(y) + 6*k(y). Find the second derivative of t(h) wrt h.\nAnswer: 706","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 180 and 2420?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*z = -8, 0 = -p - 6*z + z - 9. Let n = 5 + p. Let r be n\/2 - (-21)\/14. Solve -3*h - 10 = r*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*(r**4\/r)\/r*r)\/(r\/r**(-1)))\/(r**7\/r*r**(1\/3)) assuming r is positive.\nAnswer: r**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -2, -26 in ascending order.\nAnswer: -26, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54868 and 1160?\nAnswer: 548680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 0*p**5 + 0*p**2 + 3\/2*p**6 + 0*p**4 - p**3 + 0*p + 4. What is the third derivative of h(u) wrt u?\nAnswer: 540*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 1689\/855)\/(18\/(-9375)). Let x = -204\/19 + k. Calculate the common denominator of x and 29\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -347*j*r*w - 564*j*r + j*w - 3*j + 2*r*w + 3*r - 14275660*w wrt j?\nAnswer: -347*r*w - 564*r + w - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -186*w + 2*w**4 + 369*w - 181*w - 128 to s*w**2 + b*w + f + i*w**4 + o*w**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(1\/2)\/l*l)\/l)\/l**(-1\/15) assuming l is positive.\nAnswer: l**(17\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2638 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 146 and 132349.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25188 or -25195?\nAnswer: -25195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 6*s**2 + 9*s - 9. Let u be p(7). Suppose 0*q - u*w = 4*q - 139, w - 127 = -4*q. Let k = q - 21. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2542192.8 to the nearest one hundred thousand.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2 + 0 = 0. Suppose 3*k = 4*m - 3, 3*m + p = -4*k - 2. Let c = 2 + m. Solve 0 = c*a - 4 + 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2 = -5*t + 1, -4*g - 31 = -5*t. Solve 20 = 8*m - t*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 36776175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -610 or -609?\nAnswer: -609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1387 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-4\/9)\/f)\/f*f*f\/f**(2\/13)*f)**(-5\/8)\/(f**12\/(f\/(f*f\/f**(-1\/5))))**(3\/14) assuming f is positive.\nAnswer: f**(-100889\/32760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 42 - 9 - 3*u - 25 - 4 - 3.\nAnswer: -3*u - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1572.68 rounded to the nearest 10?\nAnswer: -1570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 53*x**2 - 11*x - 35. Let b(k) = -107*k**2 + 20*k + 68. Let l(z) = 6*b(z) + 11*u(z). Find the second derivative of l(f) wrt f.\nAnswer: -118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*m - 3 + m**3 + 5 - 2*m**3 - 30*m + m**2 to the form a*m**3 + t*m**2 + v*m + q and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/2 - 215*c\/2 + 422.\nAnswer: (c - 211)*(c - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3*a - 49, -4*m - 4*a + 145 = 61. Suppose -135 = 7*x - m*x. Let z = -18 - -13. Put 5, z, -1, x in decreasing order.\nAnswer: x, 5, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -551*p**2 + 88*p**2 + 276*p**2 to the form m + t*p + d*p**2 and give d.\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3213 - 35367\/11. What is the common denominator of 81\/10 and t?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/25 in 2, -5, -61?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -89 + 127. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -a**4\/12 - 5*a**3\/6 + 3*a**2\/2 + 3*a + 3. Let x(w) be the first derivative of j(w). Calculate x(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21.3 + 21. Which is the third biggest value? (a) 2\/3 (b) 4\/3 (c) -0.4 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 z when two letters picked without replacement from mzljinj?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, h: 2, g: 2, f: 10, k: 2, b: 1}. Give prob of sequence tkh.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111000100000010110 (base 2) to base 5.\nAnswer: -24401241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 436 and 285292676?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1484 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, q: 5, x: 5}. What is prob of sequence qx?\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(180) + -2*sqrt(180)*-1)\/sqrt(12))\/(sqrt(36)\/(-1*sqrt(1452))).\nAnswer: -198*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 213 + -207 + (0 - (0 + 3)) + -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 796824 is divided by 85?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 59 - (15 + (-13 + 37 - 48))\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*f**4 + 14*f**4 - 13*f**2 - 7*f**4 - 2*f**4 wrt f?\nAnswer: 120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-2) + 6\/3. Let d(n) = n**3 + 6*n**2 + n + 8. Let g be d(-6). Let q(j) = 4*j + 0*j**3 - 2*j**2 + j**3 - g - 3*j**2. What is q(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = m + 8*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -7*f. Let l(r) = -74*r**2. Give l(q(o)).\nAnswer: -3626*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 75602*u**3 + 8905*u**2 wrt u?\nAnswer: 453612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -b**5\/60 - 5*b**4\/24 + b**3\/3 - 5*b**2. Let u be v(-5). Let i = -0.02 + 1.02. Sort -1, u, i in descending order.\nAnswer: u, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1187 is divided by 395?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (-11)\/(-5) + -1. Let x = -2239\/1788 + 1\/447. Which is the nearest to x? (a) -4 (b) -3\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*q - 165. Let s = -189928 - -190225. Calculate the greatest common divisor of s and q.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 6:48 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 1 = -h. Suppose 3*s + 5*z + 2 = -7, h*z = -3*s - 3. Let y(q) = 4*q**3 - 4*q**2 + 3*q. Does 3 divide y(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 656912714?\nAnswer: 2, 1601, 205157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177404 is divided by 177402.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*t**3 - 8*t**3 + 28*t**3.\nAnswer: 39*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 251435.3 millennia to years.\nAnswer: 251435300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6914 + 892 = -185*u + 5175 + 1568 for u.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -8*a**3 - 10*a**2 - 2*a + 5. Let q(i) = -9*i**3 - 10*i**2 - 2*i + 6. Give 7*h(b) - 6*q(b).\nAnswer: -2*b**3 - 10*b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 12*u**2 + 4*u + 2. What is the units digit of o(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1585)\/(-75) - (-4)\/(-30). Let n be 44\/2 + p + -23. Solve 0*t = -4*t + n for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n + 1 - 1 + (-3 + 3 + 2)*(4*n - 6*n + 4*n))*(-1012*n - 1641*n + 1985*n) to h*n + p + c*n**2 and give c.\nAnswer: -2004","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0559 - -1.9391. Let p = a + 0.005. Is 18 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.6 + 22.8. Let v = 9.5 - l. Is -1 <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9936937 rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mvmhmmvhhmmmmvmmvm. Give prob of sequence hmhh.\nAnswer: 11\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 478503.\nAnswer: 3, 79, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 - (18 - (-9 - -19)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 384 and 2868.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 + (125 - 229) - (0 - 2 - -9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w = 12 - 46. Solve 0 = 2*b - 5*m - 1, 0 = -w*b + 4*m - 0*m for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-12) + 50\/(-6). Let i = 11 + n. Suppose -2*z = 3*b - 437 - 442, -5*b - i*z = -1469. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -28. Is (-2)\/g + (-1960)\/(-42) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**3 + 2*i**3 + 5*i**3.\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-98)*(-2 + -5). Suppose 4*w = -w - 5. Sort w, m, 1 in decreasing order.\nAnswer: 1, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.153394l?\nAnswer: 1153.394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 51\/255 - (-399)\/5. What is the greatest common divisor of 20 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0072415308 rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 461 - 42. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 8*l + 2. List the prime factors of b(2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 603642.\nAnswer: 2, 3, 13, 71, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 656.1461 centuries in years?\nAnswer: 65614.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 2 + -2 + 0. Let m(s) = s - 4. Let f be m(5). Is k - (-5 - (f + 1)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -18*h + 38*h - 4 - 14*h. Let u be g(6). Suppose -6*p = -7*p + 4*q, 4*p - 36 = -2*q. What is the greatest common factor of u and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 2\/3 (c) -0.2 (d) 0.51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 - -0.4. Let w = -968.1 - -971.1. Which is the third biggest value? (a) 5 (b) u (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 3 - 18 + 173*l**2)*(-11*l - 2*l + 4*l).\nAnswer: -1557*l**3 + 9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 to the power of 1\/4, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-5)\/16*38\/285.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 424409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*c - 1394, 3*c + 3*d - 718 = 113. Let b = 284 - c. Solve 5*x + b = -9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 675*g + 34. Let j(v) = v**2 + 900*v + 44. Determine 7*j(o) - 9*k(o).\nAnswer: -2*o**2 + 225*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7294516 - 7294516.049999728. Let b = w - -0.05. What is b rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -781*c - 18 = -775*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 15, -5*u - 4 + 14 = -2*b. Let m(v) = -v**3 - 27*v**2 + 28*v - 3. Let w be m(-28). Let x be (w\/9)\/(-5 + (-534)\/(-108)). Sort u, x, 2.\nAnswer: u, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + a + 2. Let q be 0 + 1 - (-8)\/(-2). What is f(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 426 + -429. Let t(r) = -2*r + 2*r + 2*r. Give t(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + 17.8.\nAnswer: 15.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2104 (base 6) to base 16.\nAnswer: 1d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 3*y + 5*v - 9, 4*y = 4*v. Let a be y\/((-1)\/((-6)\/(-9))). Let o be (5 + -3)\/(a\/4). Sort 1, 3, o in descending order.\nAnswer: 3, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*o + 10, 4*w - 12 = -5*o + 3*w. Let a = 10 + 33. Suppose o*s - 4*c - 101 + a = 0, s + 4*c = -1. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, q: 3, e: 6, l: 3}. What is prob of sequence qq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 4:57 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-1))**(-3\/2))**(17\/3))**(-13\/6) assuming m is positive.\nAnswer: m**(-221\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7498658380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by (-15)\/5 - (6*-1 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36061227 and 194505?\nAnswer: 180306135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 4073380 = -53434620. Round i to the nearest 100000.\nAnswer: 5200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-148)\/(-120) - 2\/3.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24403 is divided by 11729?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is -9.6254 rounded to 1 dp?\nAnswer: -9.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + 65*w**4 - 54*w**3 - 130*w**3 + 182*w**3 to the form g*w + p + n*w**2 + j*w**4 + l*w**3 and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + -1.627.\nAnswer: -1.827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9591347 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 12*m**2 - 2*m - 23. Give z(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 111 + -106. Let n = -60478\/5 + 413601\/35. Let o = -278 - n. Sort o, k, -0.4 in decreasing order.\nAnswer: k, o, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by (147*1)\/(25\/((-1100)\/(-66)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18433*t**3 + 3*t**2 - 2733*t - 9 wrt t?\nAnswer: -110598*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k - 12. Let f be q(1). Calculate the remainder when (22\/f)\/(5 - (-3751)\/(-748)) is divided by 39.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 9 + 3. Suppose -m*v + 2 = -v, -2*v = -2*u + 20. Calculate the remainder when 39 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -53 - (-36997 - -37082)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0301035 - 882.28529.\nAnswer: -882.2551865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.7 or -873?\nAnswer: -873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.497119 * 1\nAnswer: -0.497119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - g - 6 = 0, p + 4*g - 251 = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92054399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 47*r**2 - 2*r + 1. Let f = -2901 + 2902. What is the remainder when o(f) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.038 (b) -0.5 (c) 23\/2 (d) 5 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**3 + 7*z - 2*z**3 - z**4 + 3*z**5 - 4*z**2. Suppose 0 = -15*r + 374 - 404. Let q(d) = -d**5 + d**4 - d. Let f(p) = r*j(p) - 10*q(p). Factor f(v).\nAnswer: 4*v*(v - 1)**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2334*c + 147481 - 1966566 = 19067*c for c.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -427*q**4 - 1479*q**3 - 9*q**2 + 14704969*q?\nAnswer: -5124*q**2 - 8874*q - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1*(-303)\/(-1))\/((-6)\/(-4)). Let l be (t - -2)*(-140 + 1)*-1. What is l rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4967 (base 10) in base 3?\nAnswer: -20210222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -1667*k + 23676. Determine x(14).\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-67 - -131) + -82 + 78?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -0*d - d. Let y(p) = p**2 - 2*p - 3. Let f be y(3). Is 16 a factor of d + 0\/(1 - f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0884 and 0.09717.\nAnswer: 0.008589828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -3.9.\nAnswer: -15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.028816 - 0.029. Round j to 5 dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -142\/761 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-152)\/(-24) + -9 - 20279\/(-21)*1 and 18.\nAnswer: 1926","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 2\/3 (b) -13 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(10\/9)*k\/k**(24\/11) assuming k is positive.\nAnswer: k**(-7\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 4)*(10234*u - 2087*u - 1862*u + 9706*u + 1161*u + 6690*u).\nAnswer: 23842*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 38*z + 19. Let q be v(0). Calculate the highest common divisor of 57 and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2.143875 minutes?\nAnswer: 128632.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(5\/12)*w*w**11)**43 assuming w is positive.\nAnswer: w**(6493\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 355 less than 355?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/11184 and -127\/27960.\nAnswer: 55920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -m**3\/3 - 3*m**2 + 7*m + 1. Let y be f(-7). Solve y = 5*t - 2*c - 15, -t + 15 = -4*c - 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244474037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 15c6?\nAnswer: -15c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 950?\nAnswer: -1\/190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1363?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166918 is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 683246271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 4) to base 13\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.161 times 0.03018\nAnswer: 0.00485898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/9)\/(f\/(f*(f*f*f*f**(-8)*f*f)\/f)*f))\/(f**(-9)*f\/(f\/f**(2\/5))))**(-16) assuming f is positive.\nAnswer: f**(-2432\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -310199*s - 204. Let w be o(4). What is w rounded to the nearest 10000?\nAnswer: -1240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.17 at most as big as -68451\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 5*z = -33, -3*a + 16*z = 21*z + 31 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 13 = 4*z, -2*k = -z - 3*k + 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 323160 a multiple of 283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 9*t + 3. Let f(u) = u**3 + u**2 - 4. Let s be f(0). Let m be 0 - (-2 - -2 - 3). Suppose m*l - 10 - 11 = 0. Let w(k) = 5*k + 2. Give l*w(i) + s*y(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1633?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 244\/21 - 71\/6. Let m = v - 2\/7. Sort m, -2, 0.02 in increasing order.\nAnswer: -2, m, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from ssyyyyysyyysyyyysyy?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 19745, 19781, 19819, 19859, 19901, 19945?\n\"Answer: x**2 + 33*x + 19711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -11*s + 136. Calculate the remainder when 47 is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*h + 15671774 - 93686774. What is h rounded to the nearest one hundred thousand?\nAnswer: 5200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*n - 1094*n - 24*n.\nAnswer: -1161*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 484*u - 4791. Let a(n) = -215*n + 2396. Give -9*a(v) - 4*f(v).\nAnswer: -v - 2400","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*h - 36*h + 6320379 = -7065938. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*b**3*n*y**3 + 1014*b**3*n*y**2 - 7*b**2*n*y**3 + 5*b**2*y**3 + 1302*n*y wrt b.\nAnswer: 102*n*y**3 + 6084*n*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*l**4\/15 - 73154*l**3\/15 - 3588478*l**2\/15 - 34648174*l\/15 - 240500 = 0 for l.\nAnswer: -1875, -37, -13, -2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of p**3\/2 - 9*p. Suppose -4*n - 1 - 7 = 0. Determine s(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**3 + 2*o**2 - 3*o. Let w be k(-3). Let b = -4 - w. Suppose -5*l - 2*y + b = -6*y, 3*y = -4*l + 6. Is 2 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2916584 and 352.\nAnswer: 11666336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 10*c**2 + 5. Let p be t(10). Suppose 24 = 4*v - 0*v. Which is smaller: v or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(2\/5*130\/39)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8449 or 8455?\nAnswer: 8449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2249723 + 6*d**3 - 2249723 + 14*d**3 - 7*d**3.\nAnswer: 13*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z - 2*z - 2*z)*(0 + 3*z + 0 + (-2 - 1 + 1)*(-27 + 24 + 105*z + 5)).\nAnswer: 1449*z**2 + 28*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*(o**31*o)\/o*o)**(-19)\/(o*(o\/(o\/(((o\/o**(-1))\/o)\/o)))\/o*o*o*o\/o**(9\/2)) assuming o is positive.\nAnswer: o**(-1289\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 197159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28685606?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82 divided by -41.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 46*z + 29*z - 22*z as x*z + p and give x.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -21*n**3 - 8*n**2 - n. Let d(k) = k**3 + k**2. Let b(i) = -6*d(i) - v(i). Give b(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -114, -99, -84, -69, -54, -39?\n\"Answer: 15*z - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2 - 30*u + 2. Let q be s(15). Suppose 2*b - 9 = g - b, 0 = -b + q. Let a be 453\/360 + -1 + 4\/(-30). Sort 3, a, g in ascending order.\nAnswer: g, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*(sqrt(495) - -1*sqrt(495)) - sqrt(495))\/sqrt(11))\/(((sqrt(81)*-1 - sqrt(81))\/sqrt(9) - sqrt(9))*-3))**2.\nAnswer: 845\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -322034 + 2254240\/7. Factor 6\/7*v**2 - 8\/7 - 10\/7*v**3 + 10\/7*v + h*v**4.\nAnswer: 2*(v - 4)*(v - 1)**2*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lcvexeeddxdle. What is prob of sequence lxx?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40950 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(sqrt(6) + (sqrt(6) - sqrt(486)*-3)) - (5 + (sqrt(28)*1)**2).\nAnswer: -33 + sqrt(7)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2 + 82*m + 78. Calculate t(-39).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2995388 to the nearest integer?\nAnswer: 1731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5*i = -324, -3*i + 1700 = 5*s + 2*i. What is the remainder when s is divided by 115?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 1 - (75 + -85) - 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 293, 6855, 24643, 59261, 116313, 201403, 320135, 478113?\nAnswer: 680941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + w + 6. Let h be a(0). Suppose 0 = 3*v + l, -h*l + 2*l = 5*v + 7. Is 8\/5*(v + 4) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) + 1)**2 - sqrt(847)) + (sqrt(7) - (sqrt(77)*-2)\/sqrt(11)) + 4.\nAnswer: 14*sqrt(7) + 852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2796 - -2797. What is the closest to y in -4, -2\/19, -1\/3, -3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 487133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1872449891 to the power of 1\/2, to the nearest integer?\nAnswer: 43272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*b + 10*b + 14*b + 72*b.\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f - 297 = 11*f. Let q(d) = d**3 + 11*d**2 + 12*d - 17. Is 37 a factor of q(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/78)\/((-2)\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 1\/5 (c) -2 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**3 - j. Let r be a(2). Let y(i) = i + 22. Let t be y(r). Let o(c) = -c**3 + 3*c**2 + 3*c - 1. What is o(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: d184 (base 15) to base 14\nAnswer: 1218c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 8 = 2*v + 5*x, 5*v + x + 33 = 0. Let w be (-8)\/(-2) + 6\/v. Let n be 5 + (w - 2) + 0. Solve 0 = -4*f + s - 23, -s + n = s for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 + -50 + 52 + -39?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 43459.69 weeks in seconds?\nAnswer: 26284420512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 6 = 2*m, -4*i + m = -m - 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19401 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**2 + 12864*v + 12614580 = 0.\nAnswer: -2770, -1518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207599*f + 85640*f + 39803*f.\nAnswer: 333042*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-54)\/(-8) - (-6)\/(-8). Let c(u) = -2*u**3 + u**2 - 2*u - 3. Let k be c(-2). Let r be (-6)\/(-21) + 78\/k. Solve -r*h = w + 10 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 8968891553?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 - 27. Let w(a) = -a. Let t(p) = 2*p - 8. Let n(r) = t(r) + 5*w(r). What is the remainder when k is divided by n(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1316, 5273, 11868, 21101, 32972, 47481?\n\"Answer: 1319*k**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 11:23 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 22*a**2 + 4194*a - 1674. What is k(-191)?\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 667 and 5655.\nAnswer: 130065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 635 - 629. Suppose -11*z = 2*t - v*z - 2162, 2*z + 2148 = 2*t. Is t a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*23061\nAnswer: -69183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5 = -0*i. Suppose -5 = 4*w + p, 3*w = -0*w + i*p - 21. Is -1 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30\/((-90)\/(-15)) + (-333)\/(-1) is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(13\/(936\/352) + -5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2967 + -133547\/45. Let k = p - 4\/45. Let d = 2 - 3. What is the closest to d in k, 5, 0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 30*d**2 + 42*d. List the prime factors of b(-4).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(78) - (sqrt(78) + sqrt(78)*-2))*-3)\/sqrt(6).\nAnswer: 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 13*b**2 + 366*b + 3208. What is y(-12)?\nAnswer: 688","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 17*j + 68. Give t(-20).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -353 - -366. Let m be 10*(-10)\/3*(-3 + -6). Let y = -131 + m. Calculate the highest common factor of y and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 - (0 + 11)*-1 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 6*r**2 - 7*r - 6. Let p(q) = 5*q + 23. Let l be p(-6). Give f(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 6 in descending order.\nAnswer: 6, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u + 46. Let y(j) = j - 23. Let f(z) = -3*l(z) - 5*y(z). Let t be f(27). Suppose t*a - 415 = -a. Is a a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -r + 9. Let z = r + 15. Suppose -4*y = -z*k + 2*k + 96, -4*k - 2*y = -66. Calculate the remainder when k is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -9, 80?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2720 - -2715. What is the biggest value in j, -4, 16, 0.03?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 7*f**2 - 7*f - 3. Let j be i(-6). Solve 4 = -k - j*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 669*h - 7 - 2275*h + 590 + 111 + 163 with respect to h.\nAnswer: -1606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*l - 3*h, 0 = 3*l - 4*h + 10 - 5. Is 2 a factor of (-7)\/(-21) - 29\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -724*j + 699*j - 125 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*h - 30 = -2*z, -25 = -5*h. Let m = 1125 - 46123\/41. What is the second smallest value in m, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*i**2 + 30 - 30.\nAnswer: 46*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -17, -0.1, -4\/7, 0.135?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4*v - 3. Let j be s(2). Let k = j + 12. Let c(i) = -6*i**2 - 2*i + 5. Let q(o) = 17*o**2 + 6*o - 14. Let y(l) = -11*c(l) - 4*q(l). Give y(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 614 a factor of 7532741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p + 11849*p**2 + 2*p + 2*p.\nAnswer: 11849*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 + -10?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 0, 6, -4, -1 in descending order.\nAnswer: 6, 0, -3\/7, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 4:11 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zsmj when four letters picked without replacement from srnjmnmrnmnnmznm.\nAnswer: 1\/8736","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fmjx when four letters picked without replacement from jmfxj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*d - 280 - 3341 = 0 for d.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o**3. Let l(i) = 4*i**2 - 47*i - 45*i + 81*i + i**3 + 5. Let a be l(-6). Give b(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31\/(-372) + -1*3 + (6 - 3)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-4))\/(12\/(-120)). Let h be (4\/(-10))\/((-1)\/c). Let l(d) = -3*d + 7 - 5671*d**2 + 2*d**3 - d**3 + 5676*d**2. Give l(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b41a5 - 16?\nAnswer: -1b41bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 4, -3*w + 5*a + 42 = 289. Let p be (w\/(-180))\/((-4)\/10). Which is smaller: -2\/3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**4 - 2*n**4 - 2*n**4)*(2 + 7 - 24).\nAnswer: 60*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, n: 8}. Give prob of sequence nnbb.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*x - 0*x, -3*x = g - 1648. Suppose 5*k + 3*r + 2*r = 1660, -5*k = -5*r - g. Suppose 5*b - k = b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5455 (base 8) to base 6.\nAnswer: -21125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2448*u**3 + 84*u**2 + 12*u - 12. Let c(y) = y**3 - 7*y**2 - y + 1. Determine -12*c(p) - i(p).\nAnswer: -2460*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4895, -4883, -4871, -4865, -4871, -4895?\nAnswer: -4943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**3\/3 + 29422*n**2 + 353096*n\/3 = 0. Calculate n.\nAnswer: -4, 0, 44137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 7688692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 to the power of 1\/2, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/(-23)*319\/22*(-3)\/(-165) and -117\/50.\nAnswer: 12650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170*s + 178*s - 24 = 0. Let a(z) = 2*z**3 + 8 - 8*z - 54*z**2 - 2*z**3 + 48*z**2 - 7*z**s. Let w(m) = m**3 + m**2 + m - 1. Give -a(b) - 6*w(b).\nAnswer: b**3 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-12)\/16 + (-114)\/(-120)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(36)*-1)\/(-1*sqrt(108)))**2 - (sqrt(9)\/sqrt(3) + -3 + (sqrt(192) - sqrt(48))).\nAnswer: -5*sqrt(3) + 25\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 10) to base 15\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 2 = 5*p, 1875*p = 1874*p - 3*u + 8 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 - 18716031*k**2 - 29190827390760*k - 29190808674732.\nAnswer: -3*(k + 1)*(k + 3119338)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51 + 55. Suppose 3*v - 2*v + 5*d = 5, -c*v + 2 = 2*d. Solve v = -3*a - 2*p - 15, 5*a + 2*p + 29 - 8 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2*sqrt(1100) - 5*(1 + sqrt(1100))**2.\nAnswer: -5507 - 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 81\/18*(-4)\/(-18)*3. Suppose 0*z = -2*z + y*m + 55, 38 = z + 2*m. Suppose -4*x + 5*x = z. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 440 and 440?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -139, -102, -41, 44, 153, 286, 443?\n\"Answer: 12*q**2 + q - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17e5063 (base 15) in base 14?\nAnswer: 245aa88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((15\/(-45)*0)\/(-9))\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -101111101111 (base 2) in base 15?\nAnswer: -d8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - c**2 + 1. Let i be n(1). Let k(g) = 8*g**2 - i + 0 + 1. Let t(s) = 3*s**2. Calculate t(k(m)).\nAnswer: 192*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 21336 divided by 24\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a year in months?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -282884 divided by -30.\nAnswer: 141442\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/((l\/((l\/l**(-6))\/l)*l)\/l)))**9)**31 assuming l is positive.\nAnswer: l**(-1395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -1, -598.3, -5, 1\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 119 - 109. What is the remainder when 26 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.499 (b) -0.4 (c) 1\/4 (d) 1356\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 12, 0.4, -0.05, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363 = -237*k - 2733 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 204, 1108, 2648, 4824, 7636, 11084?\n\"Answer: 318*t**2 - 50*t - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5 + -3*sqrt(252))**2.\nAnswer: -180*sqrt(7) + 2294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 4:13 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -401*g - 89 + 426 + 64 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1902242799.\nAnswer: 3, 23484479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -0.6538223132362?\nAnswer: -2.6538223132362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 4:00 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1269, -1, -5\/6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 80 = -4*y, -3204*y - 2*n = -3201*y - 37 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 10*i**2 - 9*i + 2. Let g be f(9). Suppose u - g*u + 43 = 0. Suppose 3*w = -2*w - 2*n + u, 3*w - 5*n - 32 = 0. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-6 + 4) + -4. Let x be 1*i*(4\/(-10) + 0). Find the third derivative of x*r**2 + 7*r**5 - 2*r**5 + 4*r**2 wrt r.\nAnswer: 300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 2172606?\nAnswer: 1\/724202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-470)*(-25)\/10. Let c(w) = -2*w + 4. Suppose 13*g + 4 = 30. Let d be c(g). Is d < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5 + 23*v - 6 + 0*v**2 - v**2. Let x be z(12). What are the prime factors of (-2 + 5)\/3*(x + 0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 13. Let i be 1\/((-14)\/24) + 2. Put i, -1\/8, o in decreasing order.\nAnswer: o, i, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2d9c (base 14) in base 9?\nAnswer: 12182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 93 and 837?\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.6 + -66.\nAnswer: -64.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 439 + -305. Suppose -5*m + 1304 = q. Does 11 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 - (-37 - (-45 - -21) - -14).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1006253\/378 - 5325\/2. What is the common denominator of 38\/9 and x?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 18*f**2 - 9*f + 24. Suppose -4*u = -3*t - 74, 4*u - 10 = -2*t - 26. What is the tens digit of s(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1242686273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/10 of a century?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, -1, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q - 8. Let w be n(-8). Let l(h) be the third derivative of -h**5\/60 - 13*h**4\/24 - 11*h**3\/6 + 3*h**2. Let m be l(-12). Which is bigger: w or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-6.80769.\nAnswer: 3.403845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -692 - 5.5797.\nAnswer: -697.5797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 4*p - 35. Suppose 5*d - 6 = 3*g, -5*d = -0*d - p*g - 10. Sort d, 4, 3 in decreasing order.\nAnswer: 4, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (8 - (3 - -2))\/((-12)\/(-223988)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -69.5 (b) -0.1 (c) -2\/9 (d) 0.4 (e) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5073 by -46.\nAnswer: 5073\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.5, -28\/19, -7, 22?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61 - 8*g**2 + 16 + 2*g**2 + 2*g**2 + 30)*(g + 3*g - 3*g).\nAnswer: -4*g**3 - 15*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 9:39 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12551671 (base 8) in base 4?\nAnswer: -22231032321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 - 5*x - 5292600 + 5*x.\nAnswer: x**2 - 5292600","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/87 and 59\/232.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 26 - 9 = 5*q, 0 = -5*u + 2*q + 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -100, -115, -146, -199, -280, -395?\nAnswer: -550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000075364 to 7 decimal places.\nAnswer: -0.0000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5980.0167 nanoseconds in days?\nAnswer: 0.00000000006921315625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -90b - 2570?\nAnswer: -2e7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-360))\/(((-8)\/(-14))\/(126\/(-147)))?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14183?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7504596 years to decades.\nAnswer: 0.07504596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j**3 + 371*j**2 - 1739*j - 555681 with respect to j.\nAnswer: -3*j**2 + 742*j - 1739","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 0 + 0)*(0*l - 4*l + 5*l) + 59*l - 5*l + 9*l)*(-4*l**2 + 0*l**2 + 5*l**2) in the form u*l**2 + y + a*l**3 + w*l and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -882 divided by -98.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -2, 45, 230, -6 in decreasing order.\nAnswer: 230, 45, -1, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 14. Suppose -b = -y - 4. Solve 0 = -7*i + y*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - c + 13315 = 0, 0 = -7*c + 2*c + 5. Let y be 13\/65 + g\/10. Suppose -2*n - 6*o + 7*o + 289 = 0, -3*n = -5*o - y. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, -1\/4, 2\/11, -19\/1427?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 272900171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4573673 and 1107.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = a + 5, -5*a + 7*a + 3*v = 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s - 8. Let k be z(5). Let h be 9 - (4 - (k - -6)). Let t be 1\/h*(2 - 0). Which is the closest to 5\/2? (a) -3\/8 (b) 0 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 569*t = 658*t + 93 - 538 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1282*h + 233464 + 35476 = -639*h for h.\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13713 and 1239?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + sqrt(7) - sqrt(7)) + 0 + sqrt(14)\/sqrt(2) + 4 + (sqrt(847) - -1*sqrt(847)))**2.\nAnswer: 276*sqrt(7) + 3739","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -71*g + 69*g + 7*g**2 + 3 - 4 + 17*g**2 as s*g**2 + f + k*g and give s.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**8\/112 - 7*g**5\/30 + 2*g**2. What is the third derivative of d(n) wrt n?\nAnswer: 180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 312 + -110?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*g**2 - 1 - 4 + 10*g - 26*g**2 + 0*g + 3 to p*g + z + r*g**2 and give r.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101628*n = -d + 101624*n - 25, -5*n = -3*n + 6 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 5*x - 2. Let j be o(-5). What is the least common multiple of ((49\/(-4))\/7)\/(j\/40) and 28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -33, -60, -87, -114, -141?\n\"Answer: -27*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 38809.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 11 = -1, -z = -7*k + 561728 - 561745 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 5*k + 2*k)*(-3*k - 3*k - 25*k) + (-5 + 0 - 7)*(-2*k + 0*k**2 - k + 2*k**2).\nAnswer: 69*k**2 + 36*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**3\/6 + 22*h - 35. Let r(a) = 634*a**2 - 3*a - 2. Calculate r(j(n)).\nAnswer: 634*n**2 + 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**5 + 13*t**4 + 41*t**3 - 153*t**2 - 180*t = 0. What is t?\nAnswer: -4, -1, 0, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 808.15788 rounded to the nearest integer?\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 divided by -28?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/17)*(b\/b**(2\/19))\/b)\/(((b\/(b**(-2\/9)*b)*b)\/b)\/b**(1\/7))*(b**(5\/4)\/b)\/b**6*b*b**(-3\/4)*b\/b**(-2\/7) assuming b is positive.\nAnswer: b**(-183815\/40698)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3885, -7, 10 in descending order.\nAnswer: 3885, 10, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -27046435.47 to the nearest 1000000.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95365.\nAnswer: 5, 19073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-231420)\/175)\/(-116))\/(3\/15)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -453 - -476. Calculate the remainder when r is divided by 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 795349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 600 + -212. Let b = d - 385. Solve 5*k - 4*j = -0 - 4, b*k - j + 1 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z - 24*z - 2 + 12*z + 11*z + 9*z.\nAnswer: 16*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**8\/56 + 7*u**4\/12 + u**2. What is the second derivative of i(x) wrt x?\nAnswer: 120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 12:38 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21\/(-6 - (-65)\/10). Is 22866\/z + 3\/(-7) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/23 greater than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -r + 4*r**3 + r + (1 - 8 - 3)*(r**3 - 5*r**3 + r**3) + (2*r - 4 + 1 + 0*r)*(-r**2 + 4*r**2 - r**2) as l*r**2 + t*r**3 + q + c*r and give t.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8344370837 to the nearest integer?\nAnswer: 91348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus 0.485361?\nAnswer: -1.514639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/8 + 66\/8. Let i = a + -5. Let b = -592 - -596. Solve -f = 3*x + f + 16, -b*x + i*f = 10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1703*l - 234*l + 480*l - 1139*l to the form d + g*l and give g.\nAnswer: -2596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -106 + 176. What is the third derivative of -9*n + 2*n**2 + 63*n**3 - c*n**3 - n**4 + 3*n**6 + n**4 wrt n?\nAnswer: 360*n**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21\/43 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23130 and 3.\nAnswer: 23130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76098.64ng to kilograms.\nAnswer: 0.00000007609864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m - 3*x = -8*m + 45, 4*m + 47*x + 75 = 42*x for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 439.1*16.\nAnswer: 7025.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 11*n - 63. Determine l(25).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 3*d + 4. Let y be g(3). Differentiate 1 + r**2 - 2*r + y*r - 2*r with respect to r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-176)\/(-352))\/(6\/100) - 2\/(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 1 = b - 2*d, 3*d = -2*b - 6. Let y = 10 - b. Suppose 6*o - y*o + 30000 = 0. Round o to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t - 5*b + 2, t - 178640 + 178644 = 3*b for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - 4 - (-4 + 20)*(-3)\/2. Let y(h) = -h**3 + 18*h**2 + 2*h + 13. Determine y(f).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.30808024 rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2613 - -2616. Solve -2*d - 4*n = 4, 0*d = -z*d + 2*n + 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8154.786 - -51.4.\nAnswer: -8103.386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 868599477.\nAnswer: 3, 1759, 18289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 682?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 8:03 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 271 - 220. List the prime factors of t.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55363 divided by -7909.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2409 + -24364119283.\nAnswer: -24364121692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 16*m**2 + 4*m - 62. Let i = -124 - -140. Let n be l(i). Solve 23 = -4*t - 5*o, -2*o - 6 = n*t + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u - 2*u + 0*u + (2*u - 3*u + 0*u)*(-5 + 3 + 1) + (-57 - 151 + 48)*(-u + 6 - 20 + 9) in the form p + c*u and give c.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + -89439 + 4\/(-2) + 2. Is 38 a factor of g\/(-147) + (-6)\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 198, 0.06, 0.5 in descending order.\nAnswer: 198, 0.5, 0.06, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-2\/3))\/f)**40*(f\/f**(-2\/23))\/(f**1\/f) assuming f is positive.\nAnswer: f**(-1765\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113141210 (base 5) to base 15.\nAnswer: -a4770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*m - 5640288 - 1980386 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bm when two letters picked without replacement from mbbbmb.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 612 and 11016?\nAnswer: 11016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -7. Suppose 0 = 2*j + 4*t + 8, 0*j + t + o = 2*j. Suppose -32 = -p + j*m, 92 = 5*p - 3*m - 33. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**5\/7 - 53980*i**4\/7 + 349101404*i**3\/7 + 206269034712*i**2\/7 - 413585157726*i\/7 + 29566725084 = 0. Calculate i.\nAnswer: -546, 1, 13767","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*l - 12 = 0, -w + 21*l - 2 = 20*l. Is (1\/w)\/((-35724)\/(-4464) + -8) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*a - 4 - 194. Let p be 4\/(-8) + 2\/4. Put p, -2, a in ascending order.\nAnswer: a, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 118, 190, 262, 334, 406?\nAnswer: 478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -11, -10 in ascending order.\nAnswer: -11, -10, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(9 + -4 - 3). Let n be ((-171)\/(-36) - y) + 2\/8. Solve n*d = s + 14, 2*s + d = -7 + 1 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3573 = 450167*g - 450345*g - 4971 for g.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1311 - -1309. Let u = 10.6 + 0.4. Let h = 10 - u. Which is the nearest to h? (a) 2\/5 (b) q (c) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/162 and -77\/18?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.08, -25, 2\/11, 3, 91\/6, -13?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 7*d - 7. Let b be x(5). Let h = -4 + 6. Suppose -b*q = h*q - 265. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2. Let y(n) = 1821*n. What is y(l(z))?\nAnswer: 1821*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + m - 3*m)*((-2 + 6 - 3)*(2*m + 0 + 0) + m + 0*m + m + 4*m - 3*m + 0*m - 2*m + 0 + 0) - m**2 + 4*m**2 - m**2.\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38950?\nAnswer: 2, 5, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 289646.51 rounded to the nearest ten thousand?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 4:01 PM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 771*x + x**3 + x**3 + 433*x + 0*x**3.\nAnswer: 2*x**3 + 1204*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -437*k - 2*k**2 - 53*k - 402*k - 202*k.\nAnswer: -2*k**2 - 1094*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16653?\nAnswer: 3, 7, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*h = -51*h + 96. Calculate the remainder when h is divided by 0 + -1*1 + 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005883 rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63192679.\nAnswer: 11, 761, 7549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 4) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00011060231606 to six dps.\nAnswer: 0.000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*l - 2 + l**2 + 3*l + 4*l = 0. What is l?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 4 - 2 + h**3 - 1 + 2*h**2. Let m be y(-2). Suppose 11 = -2*f + 5*v, -4*f - 132*v + 130*v = -14. Which is the closest to m? (a) 4 (b) 5\/4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -332233 (b) 4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-151 + 21 - 40)*(4*l**2 + 0*l**2 - 2*l**2 + (0*l + 0*l - 3*l)*(2*l + l - 2*l) - l**2 + 4*l**2 + 0*l**2).\nAnswer: -340*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}