diff --git "a/data/dm_maths/full_data_2/1507_11255.jsonl" "b/data/dm_maths/full_data_2/1507_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1507_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let c(y) = -14*y + 30. Let m be c(-17). Let a(k) = 30 + 113*k**2 - m*k**2 + 46*k - 22*k + 15 + 21*k. Let o(n) = 7*n**2 - 2*n - 2. Give 2*a(u) + 45*o(u).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -0.8, -5, -0.3, 1\/4 in descending order.\nAnswer: 1\/4, 1\/6, -0.3, -0.8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*4 + 14 + -12. Suppose -o - m = -11. Suppose -r + 3*r = 3*s + 61, 0 = 5*s + o. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 3*w + 0*w)*(-4*w**3 - 366*w - 2*w**2 + 366*w).\nAnswer: 4*w**4 + 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 194, 240, 286, 332?\nAnswer: 378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence py when two letters picked without replacement from {u: 1, y: 3, m: 2, p: 1, x: 1, r: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -66 - -132. Suppose 0 = -4*s + s + l. Does 8 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12451 + -8046. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 548 is divided by 82?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 37067492?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/13292 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3052, 3280, 3532, 3820, 4156, 4552?\n\"Answer: 2*x**3 + 214*x + 2836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (0 + 5 + -15 + 6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69144 is divided by 16572.\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9742 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2 = -2*t. Let b(w) = -2*w**2 + 8*w + 5. Let v be b(5). Let s be t + v + (-2 - -4). Which is smaller: -1\/11 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -1636911256109.\nAnswer: -1636911256109.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -6268000 to the nearest one hundred thousand.\nAnswer: -6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 198221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/60*-3 - 3\/15. Let f(x) be the second derivative of -3*x - 1\/2*x**2 + 0 + s*x**5 - 5\/12*x**4 + 5\/6*x**3. Calculate f(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + g + 2. Let c be n(0). Let s(d) = d**2 + 0*d**c - 4*d - 2*d**2. Calculate s(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5 - 0)*(-11)\/(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 25 - 7. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6329814 is divided by 60283?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + -6 + 459705\/69685. Let l = -1\/1991 - w. Find the common denominator of 16\/49 and l.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 23*z - 3. Determine s(3).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15995965 and 2062?\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 481621703 - 2\nAnswer: 481621701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 3098*q + 37 = -3099*q, 4*q = 3*j + 47 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -45? (a) -0.76 (b) 1\/2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v**4\/4 - 25*v**3 - 371*v**2\/4 - 49*v\/2 = 0.\nAnswer: -7, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**3 + 2*a**3 + 0*a**3 + (-a + 3*a - 3*a)*(-2*a + 2*a**2 + 2*a) + 12*a**3 + 24*a**2 - 24*a**2 - a**3 - a**3 + a**3.\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.06913*-1277\nAnswer: -88.27901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132\/(-32)*(-18)\/2565*5 - 10\/40.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - -2 - (-7)\/(28\/128). Let n(d) = -d + 120. Let m be n(0). Calculate the highest common factor of b and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 8*i**2 - 7*i - 3. Calculate x(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u + 2. Let r = 5 - 0. Let g(b) = -3*b + 4. Let c(j) = r*o(j) - 3*g(j). Let l be c(-5). Which is smaller: l or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 2*t - 1. Let l(y) = -4*y**2 - 14*y - 11. Let z(c) = l(c) + 5*w(c). Let u be z(7). Solve 6 = 3*g + u*f - 2*f, -f = -3*g + 18 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 4*c**2 - 13*c - 16. Give f(6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4482551?\nAnswer: 107, 41893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*o - 3 + 3)*(3*o**3 - 2*o**3 + 3*o**3) - 9*o + 9*o + 4*o**4 as v*o + k + q*o**4 + x*o**2 + d*o**3 and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -0.043, -28, -2 in ascending order.\nAnswer: -28, -3, -2, -0.043, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 + -91. Is -58 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/(-33) - (5 - 195\/45)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16470481 a multiple of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (2 - -43)) + 266 + -254?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11298 - -11298.1. What is the closest to -23 in m, -2, -4, -2\/19?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*j + 2187 = -22*j - 2938 - 608 for j.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + 1. Solve -2*u = 4 - j for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.132? (a) 2 (b) 5\/6 (c) -19\/1055\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.07 (b) -2 (c) 2\/21 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -2*a**2 - 2*a + 1. Let x be y(-15). Let c = -27 + x. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -128460748 times -0.5?\nAnswer: 64230374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 505 = -507. Sort 51, z, 3 in decreasing order.\nAnswer: 51, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -95*y + 1066. What is u(13)?\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 662524 and 2104488?\nAnswer: 35776296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 8:24 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -168*n + 141*n + 3564. Suppose n = -6*u + 18*u. Calculate the smallest common multiple of u and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 173*u - 15. Determine d(13).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15814)\/(-4) + (-45)\/10 + 4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 4*u**2 + u**2. Let t(i) = -3*i. Let a(d) = -d. Let m(g) = -g. Let o(w) = a(w) - 3*m(w). Let c(x) = -5*o(x) - 4*t(x). Determine n(c(y)).\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 253 and 0.82?\nAnswer: 207.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 196 + -194. Which is bigger: -15 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaaaaarraraa. Give prob of picking 2 a and 2 r.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 divided by 30.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -70b3 + 999?\nAnswer: -6417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 653182 by -1.\nAnswer: -653182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 222.99 + -223. Let g = -60 + 59.5. What is the third smallest value in g, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from svvvzesfssevsde. What is prob of picking 1 v and 2 e?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -q**3\/3 + 5*q. Let v be n(-1). What is the third derivative of -6*f**v + 0*f + 7*f**4 + 2*f - 2*f wrt f?\nAnswer: 168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 2:58 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*-1*2\/(-16). What is the nearest to -2\/5 in -2, f, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 4*b**2 + 16*b - 15. Give x(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17904.\nAnswer: 2, 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.233872l in millilitres?\nAnswer: 3233.872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d - 2*d**3 + 0*d)*(2 + d - 2)*(-5 + 3 + 6) to a*d**4 + g + h*d + z*d**2 + k*d**3 and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*v**3 + 4*v**3 + 3*v**3 + 5*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71707?\nAnswer: 71707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -203 + 207. What is the closest to 0.2 in x, 1\/5, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -252241 by 2506.\nAnswer: -252241\/2506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5177257 to the power of 1\/2, to the nearest integer?\nAnswer: 2275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 429*n - 1177. Let c be o(6). Which is smaller: 1398 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 7:53 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cci when three letters picked without replacement from ivvkiivwwiwwwvvkvvcc.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4033 + 3989 + (-5 - 2) + 3\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -1318 - 986. Let n = a - 574. Solve -z + 8*z - n*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + (-34)\/(-10))\/(2\/20). Suppose 45 - g = 7*c. Factor 3*y**2 + 12\/5*y**c + 3\/5*y + 0.\nAnswer: 3*y*(y + 1)*(4*y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/185 and 24\/925?\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 3:39 AM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2 - 7*w + 17. Let d(h) = -h**2 + h + 1. Let c(p) = -3*d(p) - n(p). Let a be c(-9). Let r = a + 78. What are the prime factors of r?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78 - -78.00514. Round m to four dps.\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*l - 7. Let j(n) be the second derivative of n**6\/360 - n**5\/24 + n**4\/8 - n**3\/2 + 10*n. Let u(k) be the second derivative of j(k). What is u(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42) + (sqrt(420) + sqrt(420)*2 - sqrt(420))\/sqrt(10))\/sqrt(6) + -5)**2.\nAnswer: -30*sqrt(7) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -52+28846\nAnswer: 28794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - 3. Let x(y) = -53*y**2 + 5*y + 3. Let j be x(h). Find the common denominator of 43\/9 and (-8)\/(-52) + j\/390.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 415 + -421. List the prime factors of (-1196)\/39*j\/4.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/15)\/((-14)\/(-70)). Sort -1, 4, -198, u in decreasing order.\nAnswer: 4, -1, u, -198","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + -6830.2.\nAnswer: -6830.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 1:41 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9136, -18271, -27406, -36541?\nAnswer: -45676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3059 a factor of 8684501?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34355 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149582 is divided by 321?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27944, -27938, -27932, -27926?\nAnswer: -27920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w + 2*w**2 + 3 + 109*w**3 + 0*w - 108*w**3. Let h be o(-1). Let h - 3\/4*f**2 - 3\/4*f = 0. Calculate f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.9393 take away 76.9?\nAnswer: -29.9607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 4*b + 6 + 10, -5*f + 4*b + 12 = 0. Let j = -120 - -119.6. Let q = 0.07 + -0.37. What is the nearest to -1\/3 in f, q, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 27, 0, -3, -2 in ascending order.\nAnswer: -3, -2, 0, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 283173726 to the power of 1\/2, to the nearest integer?\nAnswer: 16828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4356 in -2, 8.5, 0.1, 11, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d. Let w(f) be the first derivative of -f**5\/30 - f**3\/3 - 1. Let v(l) be the third derivative of w(l). Determine v(n(z)).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 10 + (-2 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 130 and 1365?\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b - 2. Let j(m) = 6*m**3 + m**2 + 2*m + 2. Let i = -1 - -6. Let n = -6 + i. Let p be j(n). Give g(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 36*c - 7. Let y(v) = -v + 1. Suppose -1 = -s + 2*s, -4*s = 3*n + 7. Let r(d) = n*a(d) - 4*y(d). Find the first derivative of r(u) wrt u.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or -96\/17?\nAnswer: -96\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1347 + 1347.3. Which is the third smallest value? (a) w (b) 371 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*b**2 - 15\/2*b - 225\/4.\nAnswer: -(b + 15)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 248053?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 11. Solve -v*k - 7 = 2*d, -4*k = -5*k - 2*d + 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/39 in -39\/263, 3, -0.5, 0.2?\nAnswer: -39\/263","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1043*x + 441*x - 53424 = 0 for x.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -181 + 190. Suppose o*a - 13*a + 376 = 0. Is a a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 3\/38, -5, 2\/3 in decreasing order.\nAnswer: 2\/3, 3\/38, 0.06, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 15) in base 16?\nAnswer: -1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 19 - 23 = 0. Let j(s) = s**2 - 2*s - 3. Determine j(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y**3 - y**2 - y - 19. Let a be o(-4). What is the least common multiple of 20 and a\/9 - (2 + -3)?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/5)\/(8*93\/(-8680))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**2*o**3 - 5*c**2 + 273*c*o**3 - 6*c*o**2 - 6*c*o + 4*o**3 - 3*o**2 wrt o?\nAnswer: -6*c**2 + 1638*c + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.17 - -0.33. Which is the second smallest value? (a) 0.1 (b) 2\/5 (c) m (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*245461.291.\nAnswer: -490922.582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*v + 17*v - 20. Suppose v*h = -4*a, -2*a + h = -4 + 1. Solve 0 = -y + 1 + a for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 1\/5, 1\/11, 5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001284 to 6 decimal places.\nAnswer: 0.000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 55602.48 micrometers?\nAnswer: 55602480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by ((-400)\/24)\/10*36\/(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -6 - (-1 + -1) - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.5 (b) -2\/9 (c) 500\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*w + 162 = -127*w for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 - 1)*((-9 + 4 - 6)*(3 + 3 - 4) + (-1 - 3 + 0)*(0 - 3 + 2))*(15*k - 4*k - 25*k).\nAnswer: -756*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -209*-16.0316.\nAnswer: 3350.6044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/((-2)\/(-12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 129*l**2 + 574*l - 276. Is 222 a factor of o(126)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10 + 16)*18\/4. Suppose 5*k + 12 = w. Let n be 1 + (16 - k) + 0. Solve -2*f - 2*c = 4, -c = -2*f - f + n for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 791 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(19) + -4)*5 + (2*sqrt(931)*-6)**2.\nAnswer: 5*sqrt(19) + 134049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, c: 4, w: 1, u: 2, y: 1}. What is prob of picking 3 c and 1 w?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -411? (a) -5 (b) 1 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3164*m**2 - 7615 wrt m.\nAnswer: -6328*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/(-50)*-2*(-20)\/4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ua when two letters picked without replacement from {l: 1, u: 2, a: 1, v: 1, o: 4}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*o**5 - 113*o**2 - 1574*o wrt o?\nAnswer: -60*o**3 - 226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 + 7*i - 6. Let s be f(-6). Suppose -2*q - s = -3*q. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4*y - 33 = y, -4*v - 3*y = 23. Let f = v + 9. Find the first derivative of 4*m**2 + f - m**2 - 5 wrt m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 7*h**2 - 5*h. Let t be m(6). Suppose 36 = 3*d + 3*u, -t*d = -d - 3*u - 100. Calculate the remainder when 31 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6042*-0.2\nAnswer: -1208.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 35*j**2 + 93*j - 714. Let o be h(33). Solve -2*w = 169 - o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 5. Suppose 0 = 3*d + o - 4, -25 + 9 = -5*d + 3*o. Suppose -p = -3*f + d*f - 2*t, 1 = t. Solve y - f = 3*s, -3*y + 1 = -6*s + 2*s for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-4)*14 - 1. Let z = 1 + -3. Let p = z + x. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -627*b**2 - 643*b**2 - b**3 - 6 - 12 - 17*b + 1290*b**2 - 12. Give z(19).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.48, 3, 5, -1\/6, -288\/7, 1\/3 in decreasing order.\nAnswer: 5, 3, 1\/3, -1\/6, -2.48, -288\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32823.\nAnswer: 3, 7, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/3, -0.4, 0, 235\/2, 0.04 in decreasing order.\nAnswer: 235\/2, 0.04, 0, -0.4, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 65749101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 435 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42*x - 19*x**2 - 83*x + 20*x**2 - 17 + 41*x - 193*x**3 wrt x.\nAnswer: -1158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5382184?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/(-3) + 1)\/((-2)\/6). Suppose a*b - 12*b = -65. What is the smallest common multiple of 3\/2*3*2 and b?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 1 + 6\/(-1). Let c(u) = u**3 + 4*u**2 - 8*u - 6. Let t be c(w). Let p be 27\/t - (-62)\/(-20). Sort p, 2\/7, 1 in decreasing order.\nAnswer: 1, 2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 14 and 123.4187882?\nAnswer: 109.4187882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/sqrt(192) + 5.\nAnswer: sqrt(19)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -145\/3 + 146\/3. What is the biggest value in 0.5, m, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 4*d = 48, -5*g + 25985*d = 25981*d - 48 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + (14 - 37) - (-2 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -420 + 422. Suppose 5*i - 27 = -3*a - 6, -x*a - 3*i + 13 = 0. Solve -t + a*t + 2*m = -1, -m - 1 = t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-178)\/216 + 1\/((-108)\/(-8))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + 25. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of 0*t**2 + 0*t**3 + 1\/4*t**4 - 3\/20*t**5 + 0 - t. Find the third derivative of q(c) wrt c.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1597*m**2 - 8 - 1592*m**2 + 3189*m**2 + m - 37*m**3 to v*m**3 + a + w*m**2 + t*m and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -6. Let g = -192.3 + 190.3. What is the third smallest value in s, 0.4, g, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 14 = 2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258497422?\nAnswer: 2, 431, 299881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.3 and 37174741.7895.\nAnswer: 37174738.4895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 2477349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l. Let c(z) = z**2 + 6*z - 1. Let a(j) = -c(j) + 6*u(j). Let i be a(1). Solve 5*b - 11 = 3*d - 1, -5*b + d + 10 = i for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmawmmm. Give prob of sequence ma.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 5, 3946 in decreasing order.\nAnswer: 3946, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 504 - 444. Calculate the remainder when w is divided by 38.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of 5*g**4\/4 + 22*g + 32. Let h(d) = -35*d - 2. What is q(h(a))?\nAnswer: 18375*a**2 + 2100*a + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36480*q + 36478*q + 36477*q - 145907*q + 4 + 18*q**2 + 36472*q.\nAnswer: 18*q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.7 - 7.3. Let c = 0.048 + -10.248. Let a = c - j. Are 1\/4 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -0.3 (c) 0.4 (d) -2480 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 288*b**4*v**2 - 18*b**4 + b**3*v**2 - 2*b**2*v - 75*b**2 - b*v**2 - 22*b*v wrt b.\nAnswer: 6912*b*v**2 - 432*b + 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 35562 - 1044?\nAnswer: 34516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -38601897 divided by -303?\nAnswer: 127399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 44*q + 286. Let x be o(36). Let c(k) = 1 - 2*k**2 + 2*k + 1 + 0 + k**2. Give c(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, x: 1, z: 1, j: 1, w: 2}. Give prob of sequence wjw.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1428183*b**3 + b**2 - 2333*b - 163.\nAnswer: 8569098*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1083771.4 plus -59617?\nAnswer: -1143388.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3755693 litres in millilitres?\nAnswer: 375.5693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 10, -2\/9, 3\/3083, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2196546?\nAnswer: 2, 3, 11, 23, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 3*h - 6, l + h = -4*h + 20. Let a = 13 - 24. Let i = a + 11. Solve -5*d - 4*q - q + 15 = i, -l*q = 2*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6207, -24821, -55839, -99255, -155063, -223257?\nAnswer: -303831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 0. Let x = 6 - t. Sort x, 3, -1\/5 in descending order.\nAnswer: 3, -1\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pxxhyuvh. What is prob of sequence hh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -4*b**2 + 0*b**4 + 1\/40*b**5 - 1\/40*b**6 + 0 + 0*b**3 + 1\/140*b**7 + 0*b. Factor a(k).\nAnswer: 3*k**2*(k - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 998935467?\nAnswer: 3, 53, 6282613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g*l**2 - 7658*g*l - 301371140*l**2 + 2153*l wrt l.\nAnswer: -2*g - 602742280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 451 + 1278. Differentiate -o**2 + 1727*o**4 + o**2 - 135*o - z*o**4 - 74*o + 281 wrt o.\nAnswer: -8*o**3 - 209","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -2, -502, 12, 1.\nAnswer: -502, -2, 1, 2, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00033296192 to 5 decimal places.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 1. Let z(c) = -c**3 - 2*c**2 + c + 2. Let u(g) = -l(g) - z(g). Let n be u(0). What is the closest to -0.1 in -3\/2, n, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5*m - 11. Calculate f(12).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 15. Suppose 0 = 2*z + 4*a - 18, z + 4*a - 8 = 7. Suppose -x*i = z*i. Which is bigger: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/4)\/((-117)\/(-24)))\/1\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134278\/11 bigger than 12207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -442718*1.3.\nAnswer: -575533.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -3*h**4 - 64587*h**3 - 129117*h**2 + 968823*h + 2324916 = 0.\nAnswer: -21527, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 7*h**2 - 8*h - 8. Suppose 0 = -3*y - 5*o - 23, -4*y + 0*o - 19 = -5*o. Let b be g(y). Let v(j) = -j + 4 - b. Determine v(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mnnnnmvxvvtnvnvvvwt. What is prob of sequence wvwv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**6\/360 + t**4\/12 + 71*t**3\/6 - 4*t**2 + 2. Let w(m) be the second derivative of u(m). Let j(i) = 435*i. What is j(w(a))?\nAnswer: 870*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.53 + 0.47. Let h = 0.08 - 0.08. Put w, h, 5\/6 in decreasing order.\nAnswer: w, 5\/6, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1624015 divided by 3?\nAnswer: 1624015\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12504477 to the power of 1\/2, to the nearest integer?\nAnswer: 3536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/20)\/(1\/4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -4, 0.3, -4\/53 in descending order.\nAnswer: 2, 0.3, -4\/53, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 87022c?\nAnswer: 87022a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6b863 (base 12) to base 11.\nAnswer: -99751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 137*v - 2258 + 1008 - 10943. Solve -86*w + v*w + 4*u = 7, 0 = -3*w + 3*u for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 211 - 2?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -2*v - 13, 1 - 14 = 58700*v - 58699*v - 5*c + c for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 729 + -2945\/4. Find the common denominator of 27\/29 and d.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 398*c = 39*c + 49*c - 516 - 4134 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 5 (b) -33 (c) 0.1 (d) 381 (e) -93\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*n = 0. Let s be (-1 - n) + 2 + 9. Let b = 7 - s. Put 1, 4, b in increasing order.\nAnswer: b, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -11*o + 32. Let k(j) = 10*j - 44. Let m(h) = -6*k(h) - 5*s(h). Give m(19).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, 11, -27, -185, -523, -1101, -1979, -3217?\nAnswer: -4875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102347517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 850 = 3*l + 814. What is the remainder when 18 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -4. Let b = 7 - p. Calculate the highest common divisor of 6 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**2 + 321*l + 322 = 0.\nAnswer: -1, 322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8.3? (a) -5 (b) 45 (c) 16 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 607654 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 959*p**3 + 785*p**3 + 788*p**3 - 2525*p**3.\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 + 740*z - 27380.\nAnswer: -5*(z - 74)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(153) - (sqrt(153) - sqrt(153)*-1)) - sqrt(153)) + sqrt(153) + sqrt(153))\/(sqrt(36) - sqrt(36)*1 - sqrt(9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 + 528*u - 2627. Calculate the remainder when 498 is divided by t(5).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gb when two letters picked without replacement from {e: 2, g: 11, b: 6}?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -37. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 5*j**2 + 4*j. Let d be m(-4). Is -6\/19 >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1211 (base 3) to base 10.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -9 - (-2 - (-2)\/1). Let b = t - -21. Suppose -3 = o - 3*n + 2, -3*o = 4*n - 37. Calculate the remainder when b is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.5 and -1170?\nAnswer: 1171.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -5. Let m = -31 - -33. Suppose -11*w + m + 31 = 0. Solve -4*k + 4*y = -x*k + 12, 9 = 4*k + w*y for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 11:58 PM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/105325 and 15\/77.\nAnswer: 737275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (-33)\/(-27) - 1178\/(-279). Which is the closest to -2\/3? (a) -3 (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/41, -1.15, 15\/211 in decreasing order.\nAnswer: 15\/211, -2\/41, -1.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(245) + (sqrt(245) - sqrt(245)*3)*-3 + (sqrt(245) + 0 + sqrt(245) + 5 - (sqrt(245) - (sqrt(245) + 1 + sqrt(245) + -2))))**2.\nAnswer: 980*sqrt(5) + 24549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 6*n - 2. Let k(c) be the first derivative of -c**4\/24 + c**3\/6 + 5*c**2\/2 + 10. Let d(l) be the second derivative of k(l). Give -4*d(i) - h(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 153282 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) -1\/25 (c) -15\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**7\/2520 - z**6\/720 - z**5\/120 + z**4\/8 + 4*z**2. Let y(v) be the second derivative of c(v). What is y(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 448648 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 5*r + 92. Let b(v) = -v**2 + 16*v + 277. Let u(k) = 2*b(k) - 7*z(k). What is the first derivative of u(d) wrt d?\nAnswer: -4*d - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 145*z - 12296. Let y be p(-60). Suppose n + 9 = 6*k - 3*k, 3*k + 3*n + 3 = 0. Solve a - 19 = -2*m - 2*a, 3*m - k*a + y = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 0.8. Let y(u) = -19*u + 20. Let h be y(0). Suppose -h = 189*g - 194*g. What is the biggest value in 5\/9, z, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 9*x**2 - 7*x + 1. Let q(c) = 1. Let m(n) = -n**2 + 1. Let i(u) = m(u) - 2*q(u). Let g(t) = a(t) + 3*i(t). Is g(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-13 + -5 + 10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2177208179.8 less than 4?\nAnswer: -2177208175.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 7*s + 4. Let r(u) = -2*u**3 + 2*u**2 - 1. Let g be r(s). Let k be (8\/(-2))\/((-1)\/g). Put k, -1, 2 in descending order.\nAnswer: 2, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**4\/12 - 2*b. Let w(d) be the third derivative of 0 - 1\/8*d**4 + 4*d**2 + 0*d**3 + 0*d. Give i(w(l)).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -5*b + 25. Let n(y) = 16*y - 79. Let i(l) = -4*n(l) - 13*q(l). Determine i(17).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bdd when three letters picked without replacement from dnnkbkdkbdddddddbb.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 124 and 40486?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c**3 + 4 - 4 - 2*c**3 - 2*c**2 + 3. What is the units digit of t(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3831310 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {j: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 748 + 0. Let i be 2\/(-3) + n\/6. Let w = i + -88. Is 22 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 14987 (c) -0.16 (d) -127\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5917 - 6031. What is the nearest to 6 in -0.5, 1\/2, z, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -55 + 51 + (-40 - -118)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-330)\/40 - 1216592\/(-147264)\nAnswer: 2\/177","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -350 (base 9) in base 3?\nAnswer: -101200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 9371393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33517?\nAnswer: 11, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 1023 - 2333 = 0. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5*g**2 + 11. Suppose 3*f = -5*r + 46, -4*f = 3*r - 5 - 16. Let z(n) be the second derivative of -n**4\/12 + n**2 - 2*n. Determine r*z(b) - 2*x(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 12*i**2. Let h(l) = 54*l**2 + 154*l - 49. Give h(t(g)).\nAnswer: 7776*g**4 + 1848*g**2 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((24\/21)\/((-282)\/987))\/(4\/19).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -320*q + 312*q. Suppose 0 = -q*s + 4*l + 90, 3*s - 110 = -5*l + 25. Calculate the greatest common factor of s and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence muy when three letters picked without replacement from {m: 1, y: 1, o: 1, z: 1, u: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 9:19 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 21*l - 538. Determine o(27).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**4 - 9984*q**3 + 6239992*q**2 - 12450048*q + 6220036 = 0.\nAnswer: 1, 1247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1139 divide 208800341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 137829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*w = 2, 3*w + 6 = 5*k - 12. Suppose -16 = -4*y, k*f - y - 8 = 6. What is the third derivative of p**2 - 7*p**6 - 2*p + p**f + 2*p wrt p?\nAnswer: -720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/84*-14*3\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 + 2120002111?\nAnswer: 2120002211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 5 - 5)*(k + 0 + 0).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-2 - -3) + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**2\/13 + 165826564*i\/13 + 3437306166005762\/13 = 0.\nAnswer: -41456641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(1\/2))**(1\/13))**(7\/11) assuming g is positive.\nAnswer: g**(7\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 2*x + 3*t, 2*x - 27*t = -26*t - 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8407 and 119342169?\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5*c - 110 = 4*c, -3*j + c = -170. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49621.5cm in millimeters?\nAnswer: 496215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34346603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 41*n**3 + 116*n**2 + 19*n + 27. List the prime factors of o(11).\nAnswer: 43, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6235 + 6240. What is the remainder when 4289 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 7*v - 3. Let o(l) = -35510*l + 14310. Calculate o(w) + 4770*z(w).\nAnswer: -2120*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -4*o + t + 55, -5*t = 4*o - 105. Solve 2*d = 5*f + o, 5*f - 5*d = -4*d - 15 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(5408\/(-128))*1\/(4\/(-3))?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.9683369 times 0.7\nAnswer: -0.67783583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*v + 30 = 46*v + 2*p, -p + 21 = -4*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q**26\/q)))\/q*q**(3\/2)*(q\/(q**28*q))\/q**(-25) assuming q is positive.\nAnswer: q**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 24 - 2*c - 26)*(-25 - 37 + 79).\nAnswer: -34*c - 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 + 36. Let b(c) = 22*c + 2. What is the smallest common multiple of (3 + (-27)\/y)\/(2\/(-28)) and b(1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 20 = -0*a + 3*s, 3*a + 5*s + 48 = 0. Calculate the common denominator of (6\/8)\/(a\/(-638)) and 31\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 22\/25 (b) 1.1 (c) -1\/7 (d) -4\/7 (e) -17\/5 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 572 + 148. Calculate the lowest common multiple of 60 and k.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b**2 + 16*b + 21. Let l(j) = 5*j**2 - 24*j - 32. Let u(o) = -5*l(o) - 8*s(o). What is u(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, 101, 237, 391, 569, 777, 1021?\nAnswer: 1307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) 5 (c) -8.7 (d) 0.28 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d + 0*d = 36. Find the common denominator of -71\/72 and (-280)\/3780*(46\/d + 0).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -5*d. Let m = 1 - 2. Calculate n(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*u**4 + 3*u**3 - 3*u**3)*(1 - 4 + 1).\nAnswer: -96*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 680, 2942, 6714, 11990, 18764, 27030?\nAnswer: 36782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 2*f**2 + 2*f. Let s be t(-4). Let j be 50\/s - 8\/(-44). Let v = 0.1 - 0.2. Which is the nearest to v? (a) j (b) -1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 + 156*g + 1474.\nAnswer: 2*(g + 11)*(g + 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 9:17 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -261*d**2*r**3 - 2*d**2*r + 15*d**2 + d*r**3 + 2*d*r + 51140*d wrt d.\nAnswer: -522*r**3 - 4*r + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -76 - -132. What is the highest common divisor of a and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, u: 1, d: 1, p: 4, f: 1}. What is prob of sequence peu?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18964 is divided by 179.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-6*sqrt(25)\/sqrt(5) - (sqrt(20)\/sqrt(144))**2 - ((1 + sqrt(5))*-6 + sqrt(20)\/sqrt(4)*5 + sqrt(5))).\nAnswer: -30*sqrt(5) + 1055\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 less than 85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -250 - 9c96?\nAnswer: -a216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.4 (b) -2\/15 (c) 4\/7 (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**5)\/x**(2\/3))\/(x\/(x**(-2)\/x*x*x)*x*x\/(x*x**(-2))) assuming x is positive.\nAnswer: x**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*j - 100 = 0, -3*j = -2*l + 2*j + 11. Let t = -16 + l. Solve t*o - o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 2:52 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 92, 95, 98, 101, 104, 107?\n\"Answer: 3*a + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 225464765 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11.9 in 1.1, -5, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 5:01 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -8*b + 3*b - 37, 0 = -x - 4*b - 17. Suppose -x*i = -0*i - 2*i. Solve 2*u + 0 - 10 = i for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32295?\nAnswer: 3, 5, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4603\/5 - -921. Let b = 5 - 5.02. Let w = -1.98 + b. What is the closest to 1 in u, w, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/39)\/48)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -122 divided by 4\nAnswer: -61\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 296\/197580*979*3*1?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 5*y + 3*g, -2*y + 1026*g = 1027*g - 9 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-2 - (-15)\/6). Let b = -2 - i. Let x be 2\/b - 1\/(-2). Which is greater: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*q - 4170 = -37*q. Suppose -6*g = -5*v - 3*g + q, -97 = -v + 4*g. Calculate the least common multiple of 42 and v.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ug when two letters picked without replacement from uujkccgcguukuuuok?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -4 + -141 + 120\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -77*a**3*q*x**3 - 6*a**3*q*x + 7*a**2*q**2 + 4*a*q**2*x**4 + 4*a*q**2*x - q*x**2 wrt x?\nAnswer: -462*a**3*q + 96*a*q**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10545730 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 1 = 2*q + 288, -q = 14*o - 1421. What is the remainder when 1408 is divided by o?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + l**2 + 1. Let z(m) = -2*m**3 + 4*m**2 + 4. Determine -4*h(w) + z(w).\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18499 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 49563 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51287390*x**3 + x**2 + 7373288 wrt x?\nAnswer: 307724340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2389 and 1422.\nAnswer: 3397158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 362927445?\nAnswer: 3, 5, 24195163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 + 3*b - 3*b)*(-1 - b**2 + 1) - 55*b**4 - 136*b**4 - 61*b**4 + 6*b + 3*b**4 - 3*b**4 - 6*b**4.\nAnswer: -260*b**4 + 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 3*j**2 - 5*j - 2. Suppose 0*k = k + 4. Let s be q(k). Suppose -6*p + s*p = 16. Are -3 and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from etbbzetbuubbttetbbub. What is prob of sequence bzb?\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -7 (b) 4 (c) 0.0893 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4.2, -4\/281, -2\/5, -1, 0.5?\nAnswer: -4\/281","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -22. What is the smallest value in -0.3, -0.5, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.21 and 0.538.\nAnswer: 0.11298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 282372 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 4\/3, 2\/13, 62, -10\/11?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 468 and 1716?\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13585*l**2*v - l**2*z**3 - l**2*z**2 + 24*l**2*z - 162*l*v*z**3 - 994*l*z**3 + 5*l - 8*z wrt v?\nAnswer: -13585*l**2 - 162*l*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*n - 64*n - 246 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4660744 from -0.5.\nAnswer: -4660744.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -4*c**2 + c - 6. Let p be t(-9). Suppose 0 = y + y + 2*q - 138, y - p = -2*q. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 71 - 7*w - 45.\nAnswer: -7*w - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5*d = -1115, 3*d - 2*d = -3*j + 673. Does 32 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -740371 or 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 6061070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 610624365.\nAnswer: 3, 5, 13, 1021, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31*r*w*x*y - r*w*x - 27*r*w - 2*r*x*y - 2*w*x*y + w*y + 358*x*y - x with respect to r.\nAnswer: 31*w*x*y - w*x - 27*w - 2*x*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 28 + -2 + 2. Let d = 57 - j. What is the remainder when d is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -183*x**3 + 2*x**2 - 2*x + 22. Let a be o(4). Let v = 233373\/20 + a. What is the common denominator of v and 131\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10103, 20170, 30237, 40304?\nAnswer: 50371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.61 - -0.41. Are -0.2 and h equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5152 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4b31270 (base 12) in base 3?\nAnswer: -1000202010212210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -3, 0, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6*b - 12 = -v, -6 = 5*b - 4*v. Let g(j) be the first derivative of -b - 1\/18*j**4 + 2\/27*j**3 + 0*j + 0*j**2. Factor g(u).\nAnswer: -2*u**2*(u - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -33185*o - 7134768. What is y(-215)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 642 = 2*o + 2*o + 2*r, -4*o = r - 641. Does 32 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1944363062?\nAnswer: 2, 19, 51167449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -928*g + 1038*g + 205 = -201 - 144 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/5440 and 105\/41344.\nAnswer: 206720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4 + sqrt(192)*-3)**2 + 0)*4.\nAnswer: -768*sqrt(3) + 6976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k**3 - k**2 + k - 2. Let b(c) = 19*c - 135. Let s be b(7). Calculate x(s).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g + g**2 + 7*g - 5*g**2 - 6*g - g**3 + 2 + 6*g. Let x be 1\/(((-2)\/(-10))\/(-1)). Let n be t(x). Solve 3*w = -3, -3 = n*f + 5*w - 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 508 and 38481?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32.8 + -33. What is the second smallest value in 5, 0, 0.4, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3686*v + 3680*v + 54. Let l(b) = 4*b**3 - b**2 - 3*b + 3. What is the remainder when l(2) is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/3*(-90)\/(-75)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 584? (a) -4 (b) 4 (c) -3 (d) 1380\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79, 69, 53, 31, 3, -31?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -56085*t - 112174. Give s(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-28)*(8\/(-14)*8 - -4).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -30\/7 and 3\/155.\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.019? (a) -2\/17 (b) 53 (c) 1\/4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 15, k: 4}. What is prob of sequence kkkk?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 15*z**2 - 104*z - 53. What is the remainder when 49 is divided by j(-20)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 8*t. Let d be b(-7). Solve -d*q = -2*q - 5, 5*y = -q - 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72973?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*u. Suppose -4 = -3*i + 2. Suppose -i = -g + 2. Solve 3*c + 5*b - 2*b + 3 = u, -4*b = -4*c + g for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -188 - -2070\/11. Let q = -15\/22 + v. Let g be (2 + -5)\/(42\/4). Which is the biggest value? (a) g (b) -4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3*h = 3*s - 9, -2*h = 0. List the prime factors of 2\/s + (-194)\/(-6).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250482 smaller than 251511?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 5, 2623, -22?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (1 - -1 - 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3588 - 349*n**2 - 3588.\nAnswer: -349*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12371, 49447, 111241, 197753, 308983, 444931?\n\"Answer: 12359*u**2 - u + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -237*g + 5540. What is n(24)?\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 - 32 = -11*g + 130 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/10*24\/9. Suppose -y + 6 = -5*u, 0*y + w*y = -4*u. Let v be u*0*4\/(-12). Solve v = -0*k - 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 1756 = 4*b, -3*h + 3*b = -b + 1320. Let c = h + 490. What is the highest common divisor of c and 432?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 256.53 seconds in microseconds?\nAnswer: 256530000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -l**7\/35 - l**5\/10 - l**2. Find the third derivative of n(z) wrt z.\nAnswer: -144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m*m\/m**(-2\/5)*m*m)*m*m\/(m\/(m*m**(-1\/47)*m*m)*m)*m*m**27*m*m**(24\/5)*m assuming m is positive.\nAnswer: m**(8079\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.714 - 0.286. Which is smaller: 0.179 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.058 (b) 4 (c) 1 (d) 12 (e) -12.73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of s**3\/6 - 3*s**2 - 3*s. Let y be n(9). Let t(c) = -c + y*c**2 + 4 - 2*c**2 - 10. Calculate t(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*n + n**2 + n**2 - 4*n**3 - 20*n - 13*n to i*n**3 + y*n + f + j*n**2 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 26*a**2 + 17. Suppose 39 = 4*s + 107. Let k(g) be the second derivative of -3*g**4\/4 - 3*g**2 + 72*g. Let v = 16 - 22. What is s*k(t) + v*r(t)?\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -28 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 25.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 41, -4, -0.02, -45, -5, 2\/7?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -c - 8, 0 = 4*m - 4*c. Let o be 28\/m - (-4 + 4). Let y = 20 + o. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 283 by -94.\nAnswer: -283\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -284*t + 298*t - 280. Which is the third biggest value? (a) t (b) -14 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) -0.4 (c) -6\/65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, o: 1, e: 1, a: 1, i: 2}. Give prob of sequence eio.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 125628165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 7. What is the highest common divisor of m and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 13*y - 1. Determine p(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 12:36 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 4 + 0 + -11. Let k = u + 12. Let z(l) = l**2 - 12*l + 9. Let x be z(12). Calculate the highest common divisor of x and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/4559 and 13\/1936?\nAnswer: 8826224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6228 is divided by 70?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of 11*k**7\/21 + 3*k**5\/20 + 629*k**3\/6 + 14*k - 11. What is the second derivative of i(w) wrt w?\nAnswer: 440*w**3 + 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from jjvjvvjvjj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.49448135 + 18.50552105. Let g = 19 - l. What is g rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1))\/((-138)\/(-24) - 8).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 33*r + 135. Let z be x(28). Which is the closest to -5? (a) 0.13 (b) -2\/5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3257*j + 9*j**2 - 3261*j + 4 + 6520*j - 125 to f + c*j**2 + n*j and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/((sqrt(9) + sqrt(441))*-3))**2.\nAnswer: 1\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - (23 - (-35 + 33)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 35, -2\/9, 1, 0.2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/98316 and 21\/109240?\nAnswer: 983160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 = 36*d + 27. Let m(j) = 2*j**2 - 5*j + 3. Let p be m(4). Solve 3*t = -0 - 9, d*t + p = c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 483 and 2578906050?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 14*i**2 - 34*i - 109. Let m be d(-2). Let a be 2\/4 - (-17)\/2. What is the greatest common factor of a and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.088, 8, -12\/125, 2, -3 in descending order.\nAnswer: 8, 2, 0.088, -12\/125, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 7. Let x be 2 + j\/(5\/51). Suppose 2*t - x = -17. Calculate the remainder when 52 is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 602 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 12:17 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103, 103, 113, 139, 187, 263, 373, 523?\nAnswer: 719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 2. Suppose w = 5*c + 4*g + 8, -2*c - 2 = -0*c + 2*g. What is the units digit of c\/(-18) + 264\/27?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9057985, 3, 4 in ascending order.\nAnswer: -9057985, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -1015, -5, -0.4, 43, 2\/3, -2, 5?\nAnswer: -1015","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -129 - -67. Let y = 62 + f. Which is the closest to y? (a) 0.5 (b) -0.05 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195*h**3 + 130*h**3 + 130*h**3 - 390*h**3.\nAnswer: 65*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 9 = -28. Let d be (t + -2 - (2 - 4)) + 0. Suppose 0 = 5*p + d - 272. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 112\/18 + 10\/(-45). Let f(v) = -20*v**2 - 8*v - 34. Let l be f(-4). Let b = -317 - l. Solve -4 = -x + 2*c + b, y = x - c for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16623\/2 - 8298. Find a such that -9 - g*a**3 - 63\/2*a**2 - 3\/2*a**4 - 57\/2*a = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/6, 2239.1, -6, -4, 0.3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -125*d**2 - 2743*d + 2741. Determine p(1).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2053.773us to milliseconds.\nAnswer: 2.053773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**2 + 2*q + 4. Suppose 0 = -22*v + 69 - 3. Determine g(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*m + 21411 = -14061. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (592\/(-74))\/((-4)\/6). Let m = -3 + 3. Let k = m - -3. Calculate the greatest common factor of k and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60614658 divided by -222.\nAnswer: -273039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298769885?\nAnswer: 5, 23, 89, 29191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6619719?\nAnswer: 3, 347, 6359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 176 and 31185?\nAnswer: 498960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, h: 2, n: 4}. What is prob of picking 3 k and 1 h?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*h**2*x**2 - 497*h**2*x + 40*h - 42*x**2 wrt h?\nAnswer: 18*x**2 - 994*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 91008521?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a - 1. Let j be -1 + -3 + 2 + -2. Let t be (-10)\/j - 1\/(-2). Calculate x(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c - 13. Let n be y(9). Let b be (n\/5)\/((-6)\/5). Let w = -0.08 - -0.68. Which is smaller: b or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p**2 - 2. Let k be i(-3). Suppose k - 1 = 4*n. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26580, 13, 65, 3 in increasing order.\nAnswer: -26580, 3, 13, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4020 and 84135960?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77085515.\nAnswer: 5, 13, 1185931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 968 a factor of 13271280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 747139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - -13)\/4*-2. Let z(q) = -q**3 - 1. Let n(x) = -6*x**3 - 7*x**2 + 8*x - 5. Let g(l) = -n(l) + 5*z(l). Let f be g(i). Is f less than 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 + 39 = 3*n + 5*i, 5*i = -n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of (115 + -1)*(895\/(-537))\/((-5)\/36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114.76036 less than 5?\nAnswer: -109.76036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y = 11*y + 12. Let f(p) = 2*p - y - 6*p + 3*p + 3*p. Give f(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25*j**4 - 1043745*j + 19256753.\nAnswer: -100*j**3 - 1043745","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161431267 is divided by 1001.\nAnswer: 998","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 12:08 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 58, 97, 114, 103, 58, -27, -158?\n\"Answer: -q**3 - 5*q**2 + 61*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (-26)\/(-12) + -2. Let n = 6653.1 - 6653. Sort -1\/4, n, b in ascending order.\nAnswer: -1\/4, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of 11*x**3\/6 + x**2\/2 - 2*x - 39. Let i(u) = -8 + u + 8. Let z(r) = -6*i(r) + j(r). What is the derivative of z(a) wrt a?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and -2347276.\nAnswer: -2347275.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 88 + 2?\nAnswer: 8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -1.8 (b) 0.04 (c) -7881\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2))**(2\/51) assuming n is positive.\nAnswer: n**(-4\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1935 + -1933. Solve 2 = -2*p, 5*d - 2*p = 10 + h for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1350.832 to the nearest integer.\nAnswer: 1351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(228)\/(sqrt(588)*3).\nAnswer: sqrt(19)\/21 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 654, -6, 4.\nAnswer: -6, -5, 4, 654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/8708 and -3\/87080.\nAnswer: 87080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31023312112301 + 3?\nAnswer: -31023312112232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31 and 67?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by (-745)\/(-30) - 3\/(-18).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/272)\/((-25)\/20).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 278 and 3127639?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 0*s - s + 4172, -4*l = s - 16703. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33*c**2*o**2 - c**2 - 2*c*o**5 + 2*c*o**2 + 2*c*o wrt o.\nAnswer: -66*c**2 - 40*c*o**3 + 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express j - 17*j + 5*j + 9*j + 17 in the form s*j + u and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 2\/3 (c) 0.2 (d) 2\/11 (e) -14 (f) 0.228\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -100, -0.2, -4, -3\/4 in increasing order.\nAnswer: -100, -4, -3\/4, -0.4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 229 = 3*t, 348 = 5*t - 5*j - 57. Is t a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - -16) + 14 + -12\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -118903\/6 - -19819. Let m(w) be the third derivative of 0*w + 41*w**2 - 9\/20*w**5 - d*w**3 + 0 + 0*w**4. Differentiate m(v) with respect to v.\nAnswer: -54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2424, 4782, 7100, 9378, 11616, 13814?\n\"Answer: -20*c**2 + 2418*c + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2201*s**3 + 4388*s.\nAnswer: 13206*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + g + j + 5, -5*j - 7 = g. Let i(r) = -3*r**3 + 3*r. Let p be i(g). What is p rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(((-6)\/(-27))\/((-338)\/(-7605)))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50 and 225?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 276 = -44. Is 35 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2\/2 + 487*t\/2 + 20440 = 0.\nAnswer: -73, 560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*k - 6652 = -434 + 478 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75 and 575?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 791822 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.05901 days in seconds?\nAnswer: 782698.464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 4\/3 (c) -10\/173 (d) 75\/7 (e) -4 (f) 2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 33*z + 15. Let d(i) = -16*i - 7. Let a(s) = 13*d(s) + 6*q(s). Let p = -40 + 41. What is a(p)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256 is divided by 58?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6082, 6097, 6160, 6301, 6550, 6937?\nAnswer: 7492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -1471*d + 2. Let y(r) = 7368*r - 10. Determine -31*g(c) - 6*y(c).\nAnswer: 1393*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 40, 55, 32, -47, -200, -445, -800, -1283?\n\"Answer: -3*q**3 - q**2 + 39*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.3 (b) -412\/7 (c) -5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 59*r**2 - 82*r + 582. Give o(61).\nAnswer: 3022","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = -4*u + 2500. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 9*y - 36 = 10*y, -4*y - 16 = 0. Which is bigger: 43 or a?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 - 25. Suppose 5*j - 45 = 8*z - 3*z, 0 = -j - 2*z + 18. Calculate the smallest common multiple of j and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 411, 813, 1215, 1617, 2019, 2421?\n\"Answer: 402*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 73*n**2 - 172. Determine c(73).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 6*k**2 + 3*k + 10. What is j(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 0*h**2 + 2\/3*h**3 - 3 + 0*h. Let k(o) = 2*o. Give k(j(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 1037126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f. Let g(x) = 2*x**2 + 20*x. Determine p(g(r)).\nAnswer: -2*r**2 - 20*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-910)\/195*(-8)\/(-42)*9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-7)\/(70\/(-4)))\/(5\/650).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z. Let s(u) = 3*u**2 + 1680098. Determine c(s(i)).\nAnswer: -6*i**2 - 3360196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242)*-2 + -2)**2.\nAnswer: 88*sqrt(2) + 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 6:30 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 4. Determine l(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 77122\nAnswer: 1\/38561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + l**2 - l - 1. Let g be o(0). Suppose a - 6*a + 5 = 0. Let b be 0\/a - (2 - 2). Is b smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -681*u**4 + 35*u**4 + 5*u**4 + (-4*u**2 + 2*u**2 + 3*u**2)*(0 + 2*u**2 + 0) + u + 2*u**4 + 0*u - 5*u**4.\nAnswer: -642*u**4 + u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*g - 11. Let t be 3 + (-2 - (2 - g)). Suppose -a - 94 = -t*z, 3*a - 56 = -4*z - a. Does 16 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3529399 is divided by 92.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1705.9581 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52*n**3 + 19776*n**2 - 13732*n - 6096.\nAnswer: 4*(n - 1)*(n + 381)*(13*n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3 + -1*(sqrt(72) - -4*3*sqrt(72)))**2*-6.\nAnswer: -73062 - 2808*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/2)\/(4\/(24\/(-3))). Calculate the greatest common factor of j and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)*2 - sqrt(7)) + sqrt(28)\/sqrt(4)*5 + (sqrt(7) - (sqrt(28) - (sqrt(28) - (1 + sqrt(28))) - sqrt(28)))**2 + -5.\nAnswer: 3 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 708 divided by -21\nAnswer: -236\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 15*r - 12. Does 16 divide j(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, u: 3, b: 4, s: 2, p: 3, v: 1}. Give prob of picking 1 u and 1 p.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 4*l**2 + l - 1. Let t be g(4). Let j be (-28)\/3 + (-2)\/3. Let r be (0 - 1)\/((-2)\/j). Which is the third smallest value? (a) r (b) t (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4*g - 4, 4*g + 2*c + 5 = 11. Solve 4*l + a = 4, -22*l + 18*l - g*a = -4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 2, -5*s + 4*s - 61 = -5*w. 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: Solve 0 = -35*i - 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 3*x**2 - x - 3. Let n be w(3). Let o be ((-18)\/10)\/(18\/n). Sort -4, o, 2 in ascending order.\nAnswer: -4, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 255504732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 18923327, 37846654, 56769981, 75693308, 94616635, 113539962?\n\"Answer: 18923327*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/(u*u*(u\/(u\/u**(5\/6))*u*u)\/u)*u**17*u)\/(u*u*(u\/u**(3\/8))\/u)**(2\/147) assuming u is positive.\nAnswer: u**(10081\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 20 = n. Suppose 4*p + 5*z = 21, -n*z + 1 = 5*p - 6*p. Suppose 3*s = 4*q + 11, -q - 5*s = p*q - 30. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*g - 21 = 0, -4*g = 5*x - 8*g + 11. Is 2 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 0, -14, -42, -90, -164?\nAnswer: -270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-380)\/665*1071\/(-27)*3\/2.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -1 - 2 - (37 + -36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -8*a - 60. Give j(-12).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 5*h = -45, 0 = 127*p - 126*p + 4*h + 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 10 - 3)*(27*r**4 - r**4 + r + 0*r) to the form n*r**4 + b*r**3 + t*r**2 + q + c*r and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 44\/(-198) + 46159322\/(-18). Let z = k + -3685593. Round z to the nearest one hundred thousand.\nAnswer: -6300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3718973 - -32\nAnswer: 31.6281027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 + -22 + -22 + 774\/110?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) 3 (c) -1 (d) 0.3 (e) 0.0822\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2 = 2. Let a(f) be the second derivative of 1\/20*f**5 + 1\/2*f**2 + 2*f + 0 + 1\/3*f**3 - 1\/4*f**4. What is a(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a - 2. Suppose -10 = 5*s, -2*x = -5*s + 415 - 123. Let p = -145 - x. Give t(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -431 + -8. Let g = h + 441. Factor 10\/3 + 5\/3*b**3 - 10\/3*b**g - 5\/3*b.\nAnswer: 5*(b - 2)*(b - 1)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1582 and 11626909?\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + 18. Calculate the common denominator of (-1*r)\/(3 + 1) and 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2739940 (base 10) in base 14?\nAnswer: 514740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.429323 nanometers in centimeters?\nAnswer: 0.0000004429323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 2 + 6 = -5*v, -v = 5*z - 13 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -39*q**3*r*z + q**3 - 28*q**2*r - 1243*q*z + 3*r*z wrt r?\nAnswer: -39*q**3*z - 28*q**2 + 3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 0*s**4 + 6\/35*s**7 + 11\/15*s**5 + 0*s**3 + 0 + 0*s**6 - 8*s**2 + 0*s. What is the third derivative of j(x) wrt x?\nAnswer: 864*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11053*c**5 - 3*c**2 - 250*c.\nAnswer: -663180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/164 and 97\/1230?\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5556*w - 2783*w + w**2 - 2773*w - 8*w**2.\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i**3 + 135*i**2 - 24*i - 51. Give j(-45).\nAnswer: 1029","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (2*((sqrt(136)*1)\/sqrt(8) - (-4 + sqrt(272)))*3)**2)*3 + 5.\nAnswer: -2592*sqrt(17) + 18269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 549567 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b*c**3 - 124*b*c**2 - 50823*c**3 wrt b.\nAnswer: c**3 - 124*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 929403 divided by 3.\nAnswer: 309801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16380 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 3 - 2 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 9:47 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*x + 224 = 104*x + 56*x. Let j(o) = -o - 3. Let h be j(-5). What is the nearest to -0.3 in 0.1, -3, h, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + 30. Let o be ((-30)\/(-4))\/(h\/(-12)). What is the remainder when 49 is divided by (-4 + 7\/3)*o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 42763, -4.\nAnswer: -4, -1, 1, 42763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 = -4*q + 5*n, 3*q - 72 - 81 + 111 = 3*n for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.64121t in kilograms?\nAnswer: 68641.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f**3 - 221*f**2 + 76*f + 151. Let n be w(-74). Solve -3*c - o = 0, -4*c + n*o = -o for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 68 - 50. What is the smallest common multiple of o and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.065? (a) -18 (b) 10 (c) 2\/3 (d) -4\/5 (e) 4\/7 (f) -37\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 69206681623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 + 2*a**2 - 10*a**2)*(7*a - 2*a - 6*a - 9) + 2*a - 2*a**3 - 2*a + (-2*a**2 + 0 + 0)*(3*a - a + 0*a) + 3*a**3 - 3*a**3 - 3*a**3.\nAnswer: 2*a**3 + 99*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1811? (a) 3\/4 (b) 0.63 (c) 1 (d) 2\/5 (e) -1 (f) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 6215600 to the nearest one hundred thousand.\nAnswer: 6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -179, -213, -269, -353, -471, -629, -833, -1089?\n\"Answer: -b**3 - 5*b**2 - 12*b - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1715192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(19)*-1)*-4*-2 - 3*(2 + sqrt(95)\/(sqrt(5) + sqrt(45))).\nAnswer: -35*sqrt(19)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-seven fifths of a microsecond?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -48*d + 14*d + 408 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 13. Let v = u - 6. Is 11\/((1 - v)\/2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56.85 + 56.70956. Let q = -1 - -0.86. Let h = u - q. Round h to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.2 (b) -48 (c) 0.4 (d) 0 (e) 2 (f) -1\/2982 (g) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1154, 2072, 3060, 4118, 5246?\n\"Answer: 35*d**2 + 813*d + 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z**2 - 2*z - 3 + 2 + 0*z**2 - z**3. Let b be q(2). Let n be (204\/18)\/(2\/b). What is the highest common factor of 119 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2074 is divided by 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 92.36698 grams?\nAnswer: 92366980000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55 - -59. Suppose l*u - u - 45 = 0. Suppose u*q = 6*q + 1206. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5243 and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(5\/4))\/(d**(-5)*d)*d**2\/(d**(-3\/5)\/d))**(-28))**(-11\/4) assuming d is positive.\nAnswer: d**(11319\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {c: 6, y: 5, g: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**4 - 9*d**4 + 2*d**4)*(3 + 5*d - 4*d - 4*d).\nAnswer: 33*d**5 - 33*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/7238832 and 77\/5048.\nAnswer: 7238832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 3. Let i = 3 + -1. Suppose w - 10 = -2*b, i*w - 5*b + 25 = -0*w. Solve -l*p + 0*p = w for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - g)*(0*g - 5*g + 3*g) + 0*g**2 + 0*g**2 - g**2 - 9*g + 9*g + 9*g**2 + (0*g + 3*g - 2*g)*(g + 6 - 6).\nAnswer: 11*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 45? (a) 5\/3 (b) -2\/203 (c) -4 (d) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -39008 divided by 63\nAnswer: -39008\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 8. Let t = 47\/5 - 48\/5. Let f(a) = a - 5. Let c be f(0). Put t, c, g in ascending order.\nAnswer: c, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 2:09 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-4)\/q)\/(q\/(q\/(q*q\/q**6*q*q))*q)*q**(4\/9)*q\/(q**6\/q))\/((q\/(q\/q**(1\/4)))**(2\/71)*(q\/(q\/(q**(1\/5)*q)))\/(((q*q**3)\/q)\/q)) assuming q is positive.\nAnswer: q**(-43213\/6390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 13*l**3 - 6*l**2 - 19*l - 3. Let h(n) = 24*n**3 - 11*n**2 - 37*n - 5. What is -6*h(z) + 11*k(z)?\nAnswer: -z**3 + 13*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3 - 5) + 1)\/((-2)\/(-10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -112*v + 108*v. Let y(c) = -1 + 12 - 11 + v*c. Let z(u) = -7 - 3*u + 7. Determine y(z(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52123, 50455, 48777, 47083, 45367, 43623, 41845?\nAnswer: 40027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2619 is divided by 64?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + q. Let d(m) = -8*m**2 - 6*m. Let b be (-21)\/(-4) + ((-18)\/8)\/(-3). Give b*c(j) + d(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 421 - 419. Solve z*t - 2 = -10 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 19*z - 41*z = -20*z + 2, -41 = -z - 38 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -1\/10*v**5 + 41\/3*v**3 + 5\/24*v**4 + 40*v**2 + 0*v + 0. What is the first derivative of l(t) wrt t?\nAnswer: -12*t + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-12)*(-12 + 3). Let o(z) be the first derivative of -2\/27*z**y + 0*z - 1\/18*z**4 + 3 + 0*z**2. Suppose o(s) = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 5, 12?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 26*i + 1126. Give w(-43).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32103 + 11?\nAnswer: -32042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8.14, -2\/7, -4, -0.1, 12 in ascending order.\nAnswer: -8.14, -4, -2\/7, -0.1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -586 by 10.\nAnswer: -293\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 22 (b) -0.01485 (c) 4 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -720 divided by 30?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 259794 (base 12) in base 13?\nAnswer: 1883b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (14 - 14 + 19*i**2)*(0 + 0 + 2)*(-50*i - 41*i + 13*i)*(6*i - 2*i - 3*i) in the form m*i**4 + g*i**3 + j*i**2 + a + v*i and give m.\nAnswer: -2964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z - 145 = -18*z + 245 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 16*u**3 + 10*u**2 - 7*u - 39. What is the tens digit of c(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11130 (base 4) in base 16?\nAnswer: -15c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112 - 11001?\nAnswer: -11120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 209. Let h = -34 - -34. Let i be a(h). Let z = i - 3970\/19. What is the second biggest value in 4, z, -1\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/4 + 195\/10 + -1. Solve 3*r + q = 3 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.2 - 3. What is the nearest to -3\/4 in s, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -76882 + 537227\/7. Let p = k - -135. Let m = 0.61 + -0.71. What is the nearest to p in m, 0.3, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9 + 0.8. What is the nearest to 0.1 in -0.4, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 1. Suppose -3*y + 1600015 = c*p, 3*p + p - 3200020 = -4*y. What is p rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - p**2 + 3*p - 11. Calculate d(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -90957 + 257728. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i\/i**(-7))))\/i**(1\/12))\/((i\/(i**(-3\/4)\/i))\/i*i**(-2\/11)) assuming i is positive.\nAnswer: i**(419\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 600877814 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/4134 and -49\/188786.\nAnswer: 566358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u + 22*u = 518. Calculate the greatest common divisor of u and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5 + 0*b**3 + 4*b**2 - b**3 - b - 10 + 4. Let y be a(2). Solve 5*d - 3*q + 28 - 2 = 0, -y*d - 2*q = 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2 - 28 = 0. Let h be (-21)\/(-14) + (-3)\/k. Suppose 0 = -4*p + h*p - 5*l + 86, 29 = p - l. What is the greatest common divisor of 198 and p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-2) - 14\/(-4). Let a(c) = c**3 - 2*c**2 - c - 2. Let y = -13 + 24. Calculate the remainder when y is divided by a(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 23.178 times 16185\nAnswer: 375135.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4715010728 rounded to five dps?\nAnswer: 0.4715","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(6\/5))**(-33) assuming d is positive.\nAnswer: d**(-198\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**2 + 3*x - 3*x + (2 - 3*x - 2)*(-14 - x + 14) + (-3*x - 5*x + 3*x)*(2*x + 2 - 2) - 2*x**2 + 2*x**2 + x**2 - 3*x**2 - 2*x**2 + 4*x**2.\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 8*q**2 - 7*q. Let d be (-54)\/9 + 1 + 12. What is b(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8078 - 28761929270?\nAnswer: -28761929269.1922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/15309 and -25\/24550533.\nAnswer: 73651599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (16504*f - 93*f**2 - 16506*f + 13*f**2)*(-4*f**2 - 17*f**2 + f**2) in the form a*f**4 + l*f + h + k*f**2 + o*f**3 and give a.\nAnswer: 1600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*j**2*p**2*v + 219*j**2*v + 14*j**2 + 2*j - 17894*p**2*v - v wrt p.\nAnswer: -6*j**2*p*v - 35788*p*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -1\/4, 3\/4, -5, -3, 10.8, 1\/4, 0.12?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + p + 42, 3*p + 0*p + 66 = 5*o. Suppose -4*l = s + 17, l + s = 5*l + o. Let d be ((-8)\/12)\/(l\/(-20)). Which is bigger: -4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41656004*u**2*y - 667*u**2 - 2209 wrt y.\nAnswer: -41656004*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 2*k**2 - 14 + 1\/4*k**4 - 2*k**3 + k. Calculate p(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*l - 2. Let p be (4 + -3)*(8 - -1). Suppose -4*j = -p*j. Solve -2*s = 2*w - j*w, 0 = s + l*w - 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*l + 27 = -73, -4*l + 24 = 2*i. Is 20 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1639347 is divided by 113.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*d = 2*m - 15, -3*m + 2*d - 10 = 0. Suppose m = -5*i + i - 48. Let t be (-4)\/i + (-10)\/12. Which is the closest to -0.3? (a) t (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + o**2 + o + 1839. Let i be k(0). Suppose -i = -4*t + t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -84*g - 196*g + 24*g - 16128 for g.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.29 (b) -0.54 (c) -3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 53.22?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cdx when three letters picked without replacement from {c: 2, a: 3, x: 3, o: 1, d: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6 (b) 0.6 (c) 12 (d) -129\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 167*s. Let l(a) = 84*a. Determine 7*l(r) - 4*y(r).\nAnswer: -80*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 164, 373, 728, 1229, 1876, 2669, 3608?\n\"Answer: 73*h**2 - 10*h + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ry when two letters picked without replacement from {r: 3, y: 4, l: 10, u: 3}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**(-2\/5)))\/(s**(-3)*s*s))\/(s\/s**(1\/8))**(-3\/8) assuming s is positive.\nAnswer: s**(553\/320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5 + sqrt(117)\/sqrt(144))**2 + (sqrt(78)\/((sqrt(30) - sqrt(480) - sqrt(30))\/sqrt(5)))**2.\nAnswer: -5*sqrt(13)\/2 + 189\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-156))\/((-46)\/(-598))*38.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 5*g**2 - 2*g + 5. Let c be t(5). Let p = 0.36 - -0.04. Put c, -2\/11, p in decreasing order.\nAnswer: p, -2\/11, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.126391 rounded to 0 decimal places?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -485*b + 97. Let x(z) = 3*z - 1. Let o(g) = p(g) + 97*x(g). Let i(d) = -2*d**2. Calculate i(o(f)).\nAnswer: -75272*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 4 + 12 + -26.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z + 334 = -2*o, -5*z - o - 2993 + 5892 = 3018 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1, -3, 0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -839826 at least -839764?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k + 15. Let h be n(9). Let m be (-6)\/8 - 2517\/h. Suppose 1104 = w + m. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -0.05558083?\nAnswer: 0.011116166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/30 and -131\/66.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18820557 (base 9) in base 13?\nAnswer: 1c84519","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 z when two letters picked without replacement from ttzvdotzdvzdvbvzo?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*d - 75*d - 98*d - 98*d - 89*d + 484*d.\nAnswer: 29*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 815.2829 millimeters to meters.\nAnswer: 0.8152829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b - 364 - 12*b + 31*b + 30 - 14*b.\nAnswer: -b - 334","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/5 + 4599*z**2\/5 + 585438*z\/5 + 116168.\nAnswer: (z + 1)*(z + 130)*(z + 4468)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -458 - -828. Suppose -93*g - m = -98*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 406 (b) 0.2 (c) 0.02 (d) -5 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.668642 nanograms in tonnes?\nAnswer: 0.000000000000005668642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-169) - (0 + (-73)\/(-52))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 699 + -691. What is the smallest common multiple of 21 and u?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-30) + 21\/(-63))\/(-4 + (-4536)\/(-1155))?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50645 is divided by 504.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/(-22)*22\/(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 1:29 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.4 in 2112, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-12)\/(-9)))\/(30*(-25)\/(-22000)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1574*w**3 + 569*w**2.\nAnswer: -9444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 4*y + 4 = 0, -96*p - 2*y + 8 = -93*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 186114229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*z + 0*z - z)*(2*z**4 - 5*z**4 + 0*z**4)*(7 + 3 - 23).\nAnswer: 819*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 83 and 2075?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4831727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.3 not equal to 2230?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4.3, 0.2, 0.01?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 404?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -1112\nAnswer: 1\/1112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67 - 58. Suppose s*j = 26*j - 51. Let q(k) be the second derivative of k**5\/20 - k**4\/12 - k**2 + k. Calculate q(j).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -1\/8, 3, 63?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -4*q + 20, 6 = -2*q - 5*w + 2. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h = -5*f + h + 136, -f - 5*h + 96 = 2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, b: 4}. What is prob of sequence fbbb?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -76 + 76.048. Let x = y - 45.048. Let s = -44.788 - x. Round s to two dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 4, 0.2, -1\/9 in descending order.\nAnswer: 4, 0.2, -1\/9, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3696493 grams in nanograms?\nAnswer: 369649300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67936 and 39179?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -92821.3 - -96721. Let s = 3746 - r. Round s to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, y: 4}. What is prob of picking 3 y?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000099334 to seven dps.\nAnswer: -0.0000993","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.27 - 1.37. Let d = 6505 + -32524\/5. Let u = -0.2 + 0.18. Which is the closest to -1? (a) d (b) z (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 42807 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 15\/4 of a centimeter?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -102\/11191 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -8. Let p = a + -6. Is 1\/3 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t + 11. Let b(o) = -o + 17. Let l be b(26). Determine i(l).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 26636066.1 minutes?\nAnswer: 2642.466875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 284*j + 55*j + 112*j - 1 + 343*j - 51*j in the form k*j + d and give k.\nAnswer: 743","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.203778mm to micrometers.\nAnswer: 8203.778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 times 0.0259796?\nAnswer: -1.428878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + x - 21 = -0, -x = -3*r + 14. Solve 2*a = -2*c - 10, c + 7 = 3*a - r*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of q**6\/120 + q**5\/20 - q**4\/24 + q**3\/6 + 47*q**2. Let i be v(-3). Solve 10*t - i*t + 6 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 90\/156514177 - -4503067424107\/3412635115308. Let j = p - 35\/948. Let x = -4169\/3358 + j. Which is greater: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 375.6 + -376. Sort 1.6, -2\/21, -2, -2\/3, h in decreasing order.\nAnswer: 1.6, -2\/21, h, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*p + 10. Let q be 2\/(-4) + (-5399995)\/p. Round q to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(20) + -2)**2.\nAnswer: -20*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.34 times 78.81205\nAnswer: -26.796097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15264486 and 342.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 0 + 7\/6*y**4 - 2\/3*y**3 + 0*y**2 + 8*y. Factor l(h).\nAnswer: 2*h*(7*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-7)\/(70\/(-4)))\/2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9 + (1034\/(-154) + 6)\/((-2)\/(-14)). Calculate the greatest common divisor of n and 15004.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2 + 41*k**3 + 7*k**2 - 167*k**3 + 46*k**3 + 8*k + 40*k**3 + 41*k**3. Calculate i(-7).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 312*m**3 - 2*m**2 - 6*m + 3. Is b(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.2 (b) 2 (c) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/18)\/(30\/(-180)))\/((-16)\/17568*-12)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 1014.\nAnswer: 3, 5, 1014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 612777734?\nAnswer: 2, 11273, 27179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 12\/42 - 38\/(-14) - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5444836, 21779365, 49003578, 87117475?\nAnswer: 136121056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 5:06 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/(-10) - 34244\/(-140)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-5 - (8 + 8 + -11))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35441 by -1791.\nAnswer: 35441\/1791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 127330272?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x**(-15)\/x)*x**(1\/3) assuming x is positive.\nAnswer: x**(52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/377263887 and -107\/24024.\nAnswer: 3018111096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 + -79 + (0 - 2) + 18 - 27.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (17 - 16 - -7) - -17\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 6*i - 6. Let u be o(-4). Suppose 0 = -u*k + 18. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4*j + 4. Let s be j\/(-3)*9\/(-6). Let l(u) = -2*u**3 - 5*u - 5. Let b(x) = x + 1. Determine s*l(o) + 6*b(o).\nAnswer: -2*o**3 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -206236, -206235, -206232, -206227?\n\"Answer: i**2 - 2*i - 206235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) - (sqrt(187)*4*4 + sqrt(187)))\/(-5*sqrt(11)*6).\nAnswer: 8*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4*m**3 + 8*m**2 + 16*m + 15. Is h(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 100 + -97. What is the second derivative of -20*c**4 - 425 + 3*c**3 + 488 - 2*c - j*c**3 wrt c?\nAnswer: -240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 13*a**2 + a - 13. Let m be b(13). Suppose -3*z + 78 + 0 = m. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.192 + 0.008. Let y = -3725.6 - -3726. Which is the closest to 2? (a) -4 (b) q (c) -3 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1305 and 5629509.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**5 + 5*a**3 - 3*a**2 + 3. Suppose -3*i + 8 = -1. Let d(l) = -l**5 - 9*l**3 + 5*l**2 - 5. Let j(z) = i*d(z) + 5*o(z). Factor j(t).\nAnswer: 2*t**3*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.17 - -0.57. Let j = 16683\/7 - 2383. Sort 0.1, 3, j, c in descending order.\nAnswer: 3, c, j, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttodoodkooti. What is prob of picking 2 t and 1 k?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 9*j + 12. Let n be v(8). Let t(z) = 2*z + n + 0*z - z - 2*z. What is the remainder when t(0) is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*b = 154*b + 5616. Suppose b = 266*a - 265*a. Calculate the greatest common factor of 32 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5334*p - 116195 + 116195)*(0 - 2 + 1).\nAnswer: -5334*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -443*j**2*v**3 - 99*j**2*v - j - 3*v**2 wrt v?\nAnswer: -2658*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-4)*(19 - 21). What is the second biggest value in -1, 0.1, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2075189.543 to the nearest one hundred thousand.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 13, l: 6}. Give prob of picking 3 o.\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 80699\/4 or 20175?\nAnswer: 80699\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(468)*1 - (sqrt(468) - 6*(0 + sqrt(468))) - (-3 + -2*sqrt(468)*1 + sqrt(468)).\nAnswer: 3 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -403, -696, -959, -1192, -1395, -1568, -1711?\nAnswer: -1824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 1:42 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000822 to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v + 354. Let g(q) = -2*q**2 + 2*q + 871. Give j(g(s)).\nAnswer: 4*s**2 - 4*s - 1388","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a**3 - 4*a**2 - 1. Let h(s) = -4*s**3 - 5*s**2 + s - 1. Let w(l) = -6*c(l) + 4*h(l). Determine w(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -289 (base 14) in base 9?\nAnswer: -630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -721 + 671. What are the prime factors of (10269\/35)\/(85\/w + 2)?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5697115 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*n - 216 = 2*n. Solve -3*s + 13*b - n*b + 3 = 0, s = -b + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b7a + 3?\nAnswer: b7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 2. Let y be (-1)\/i - 9\/(-2). Suppose -y*p + 45 = -27. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -388a04b + -4?\nAnswer: -388a053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 435 times 398166?\nAnswer: 173202210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 7*u**2 - 7*u + 8. Calculate c(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 251, 1016, 2291, 4076, 6371, 9176, 12491?\n\"Answer: 255*s**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2 = -5*j - 24, 5*d = 2*j - 22. Let v(g) be the second derivative of -g**3 - g**2 - g. Let u(s) = 7*s + 2. What is d*v(h) - 5*u(h)?\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -9 + 5 + 1 + -24 + (-15 - -23).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7189, -2, 0.1, 0.5, -0.2 in decreasing order.\nAnswer: 0.5, 0.1, -0.2, -0.7189, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y, 5*n - 3*y - 10 = -4*y. Let j = n - 2. Suppose j = -3*x + 5*x + s - 246, -3*s + 375 = 3*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -6720\/11*u + 2\/11*u**5 + 114\/11*u**4 - 6272\/11 + 152*u**3 + 1112\/11*u**2 = 0.\nAnswer: -28, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 376 + -98. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(2448) + -2 + 4.\nAnswer: 1 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 6) in base 3?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -358 times 3\nAnswer: -1074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2954789857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -250, 63, -2, -43 in decreasing order.\nAnswer: 63, -2, -43, -250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 245125.16 to the nearest one hundred.\nAnswer: 245100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29811 is divided by 220.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4272 = s. Suppose -2*f + s - 10336 = 0. What is f rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q = -802 + 776. Suppose -5*f = -11 - 4. Factor v**4 + 3*v**2 - v**4 + 0*v**q - f*v**4.\nAnswer: -3*v**2*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2374264191 to the nearest integer?\nAnswer: 1334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110 - -11000000001101010?\nAnswer: 11000000010100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j + 8. Let i be y(10). Let k = i + -15. What are the prime factors of (k - (-2 - -5)) + 54?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (224\/(-224))\/((-1)\/(-2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 9 + f**2 + 1\/4*f**4 + 3*f - 5\/3*f**3. Calculate j(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76828 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -11. Let t be 18 - 5 - (-2)\/2. Let f(c) = 4*c - 55. Let j be f(t). Is z equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85 + 81. What is the biggest value in m, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -5\/6, -5, 5.9?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 5*u - 2, -3*i + 2 = -4. Suppose b - 73 = -3*c, 7*b = -4*c + u*b + 90. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35852.\nAnswer: 2, 8963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(78) + sqrt(78) + sqrt(78) + -3*4*sqrt(78) + sqrt(78) + sqrt(78)))\/(-3*-6*sqrt(726)))**2.\nAnswer: 637\/39204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -y**4\/12 - 4*y**3\/3 + 9*y**2\/2 - y. Let u be g(-9). Suppose u = -c + 2, 0*p + p = 3*c + 8. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 518840 and 408?\nAnswer: 1556520","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h**3 + 14*h**2 - 61*h - 684. Let v be s(-13). Which is bigger: v or -6312?\nAnswer: -6312","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 231*r + 3. Let b be f(2). Let n = b + -680. Let o be 2\/3 + n\/(-15). Solve 5*i - o = 5 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11cd + 3?\nAnswer: 11d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*w**2 - 131 + 47*w**2 + 24*w**2 + 48*w**2 - 38*w**2.\nAnswer: 92*w**2 - 131","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3401, -4319, -5243, -6173, -7109?\nAnswer: -8051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1503.18 to the nearest 10.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 768, 662, 484, 234, -88, -482?\n\"Answer: -36*s**2 + 2*s + 802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4834.1988 microseconds to days.\nAnswer: 0.000000055951375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -42, 86, 464, 1206, 2426, 4238?\nAnswer: 6756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24172782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111011011 + 1111?\nAnswer: -100111001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 f when three letters picked without replacement from {n: 1, f: 1, q: 17}.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-23)\/(828\/468) + 12\/1. Is 33585 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of 0 - 11\/6*a**3 + 5*a**2 - 9*a. Differentiate i(d) with respect to d.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-46)\/((-15640)\/(-51)))\/((-96)\/56*21\/(-10))?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 11*a - 8. Let r be k(7). Calculate the common denominator of ((-2)\/8)\/(5*4\/(-1480)) and r\/(-12)*(0 + 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 989*u + 69*u**2 - 989*u + 57*u**2 to t*u + n + w*u**2 and give w.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4142413*t**6*w - t**6 + 2*t**2*w - 4764*t*w - t + 9*w + 4 wrt t.\nAnswer: -497089560*t**3*w - 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/8 of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/4 + (-803)\/(-242) + (-14)\/(-77). Let l = -2 - 2. Suppose j + 4 = -1. What is the closest to c in j, -2, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 119 - 110. Let f be (-5 + 14 - 6) + -1 + q. Let c = 6 - 2. Solve c*h - 3 = -f for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -4\/3 (b) -19 (c) -6 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 35260 plus 21?\nAnswer: 35281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 102 - 99. Let a(w) = 109*w**3 + w**2 - 10*w + 9. Let q be a(y). Is q\/2*(-22)\/(-33) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13860000 rounded to the nearest 100000?\nAnswer: -13900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z + 12 + 8 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2170475510 and 7196?\nAnswer: 3598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*p**3 + 197*p**3 - 31*p + 31*p - 104*p**3 - 69*p**2 + 71*p**2.\nAnswer: 34*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzq when four letters picked without replacement from zzzzzzzzqzzzz?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -486, -975, -1464, -1953, -2442?\nAnswer: -2931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6843 (b) 1 (c) -2\/3 (d) -0.002 (e) 10 (f) 3 (g) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 239 + 47. Let f = -92 + c. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*n + 9*n + 10*h = 105, -5*h + 344 = 4*n + 364 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -652*c - 52*c + 784*c - 10929*c.\nAnswer: -10849*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 + (34 - (37 - 11)) + (2 - 3)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1987020, 3973768, 5960514, 7947258, 9934000, 11920740?\n\"Answer: -t**2 + 1986751*t + 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-6)*2\/(2\/3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) 0.3 (b) 2\/5 (c) 1\/33 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 10*w + 11. Let n be t(-11). Factor -3\/2*j**3 + n + 7\/2*j**2 - j.\nAnswer: -j*(j - 2)*(3*j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*r**2 + r**2 + r**2)*(-9*r - 4*r - r)*(-4*r - 5*r + 13*r) in the form g*r**3 + w + k*r**2 + a*r + d*r**4 and give d.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 24 + 169 = -22*s - 2*x, 12*x - 51 = -3*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -21*r**2 + 5. Let i(a) = -10*a**2 + 2. Let h(n) = -10*i(n) + 4*z(n). Let u(c) = 2*c. Give h(u(l)).\nAnswer: 64*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/(3\/(-54))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 8 + 0 = -2*k, -k = 2*v + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -1\/108, 0.1 in ascending order.\nAnswer: -1\/108, 0.1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in 1\/2508, 2, -0.4, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -12*h**2. Let d(v) be the first derivative of 4*v**3\/3 + 14. What is -8*d(q) - 3*z(q)?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343*j = 59*j + 179*j + 8715 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 637032 and 1112?\nAnswer: 88547448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jojooojjsokpooso. What is prob of picking 1 k, 1 j, and 1 p?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -12\/77, 13486 in descending order.\nAnswer: 13486, -12\/77, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5027 + 5032. Solve 4*i + l = 3*p, 8*p + 5 = 3*p for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, z: 7, x: 2, w: 1, q: 1}. Give prob of picking 1 w, 1 q, and 1 z.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 10*a - 5. Let r be h(9). Suppose -r*o = -5*o. Solve 4*w - w = o for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -45d20?\nAnswer: 45d22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26? (a) -0.3 (b) 1\/3 (c) -1\/3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 7. Let w(r) be the first derivative of 0*r**2 + 1\/4*r**4 + 0*r + 1\/3*r**3 - f. Find the third derivative of w(v) wrt v.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1388 divided by 347.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1\/2))**25\/((z*z*(z*z**(-4)*z)\/z)\/(z*z**(-1)*z)) assuming z is positive.\nAnswer: z**(79\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 - -52 - (2 - -1 - -8) - 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(-2)*(4\/(-2))\/(80 + -82)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 - 117\/(-21) - 8\/14. Solve k = -c + 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 12:40 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 0.3, -264, -1\/4, 2\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + 309)*(-418)\/(-2717). Factor k*s + 352*s**2 + 18\/11.\nAnswer: 2*(44*s + 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 14*g**2 - 6*g**2 + 4 + 8*g**2 - 4*g.\nAnswer: -12*g**2 - 4*g + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 9. Let h(o) = -o**2 - 7*o - 6. Let q be h(r). Solve -q*u + 3*u = -6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/(-7))\/((-4)\/28). Suppose -3*r = -3, 0*l - 2*l - 5*r = -73. Let g = -22 + l. Solve 4*j = 4*m + g - 4, m = 3*j - d for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 - 40?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 - h - 2*h**4 + 3*h**4 + 3*h)*(2 + 23 + 0).\nAnswer: 25*h**4 - 75*h**2 + 50*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 51*n**2 - 49*n - 124. Let f be j(52). Let t = -70 - -166. What is the greatest common divisor of f and t?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2. Let d(c) be the third derivative of 5*c**4\/24 - 593*c**3\/6 - 379*c**2 - 2*c. What is d(j(p))?\nAnswer: -5*p**2 - 593","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1285\/9 - 143. Let n = -0.15 + 1.15. Let x = n + -0.7. Which is the third smallest value? (a) h (b) -1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 199123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3695*v**3 - 24065*v**2 + 267520*v - 6 wrt v?\nAnswer: -22170*v - 48130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (1*-2)\/((-30)\/12)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3895444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 8 = 6*v. Suppose 0 = -m + 4*m. Which is the nearest to -1? (a) 4 (b) v (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1466375?\nAnswer: 5, 11731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**1*z**(1\/3))**(-6\/17))**26 assuming z is positive.\nAnswer: z**(-208\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 719\/682 - 3\/341. Calculate the common denominator of 109\/12 and d.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9016780 divided by -450839\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/5 in -1, -1\/3, 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cr when two letters picked without replacement from {r: 3, c: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -6) + -8 + -9 + 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/29323 and 34\/26019?\nAnswer: 1847349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 k when three letters picked without replacement from {w: 1, f: 6, q: 1, k: 1, t: 6}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 72954 and -0.3?\nAnswer: -21886.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -11. Suppose -3*n + 1 - j = 0. Let m(x) = 10*x**2 + x + 1. Calculate the least common multiple of m(n) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1240.131 to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8232)\/(-441)*4\/(48\/(-9)) + -13?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -h + 3*h + 6 + 4, -4*a = 0. What is the closest to -1 in 4, 133, 2, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161973.\nAnswer: 3, 7, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83, 85, 89, 95, 103, 113, 125?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -5*a**3 - 2586*a**2 - 527*a - 4381. What is w(-517)?\nAnswer: 789","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 14. Let t be y(-12). Suppose 13 = 5*r + w - 4*w, -2*r = -3*w + t. Let s be -3 - -1 - r\/(-9 - -4). Is 8\/19 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**3 - 15*p**2 + 18*p - 86. Let f be t(-9). Let d(m) = -m**3 + m**2 + 31*m + 9. What is d(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.041 times 0.06\nAnswer: -0.00246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (18\/12)\/(6\/8). Solve -a*z + 0 = -4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/2 of a day in hours?\nAnswer: 1044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5*t. Let i(h) = -23845 + 23707 - 77*h + 78*h. What is g(i(d))?\nAnswer: -5*d + 690","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13 - -3332?\nAnswer: 3345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 525 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 5:03 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -1. Let l(w) be the first derivative of -w - 17. Let t(p) = -3*f(p) + 4*l(p). Let d(o) = -o + 3. What is 2*d(x) + 7*t(x)?\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 33, 57, 85, 117, 153?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*p - 4. Let g = -0.0039 - 0.1961. Which is bigger: p or g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -19*k + 154 - 154 + 54*k. Let x(u) = -u**2. Determine p(x(y)).\nAnswer: -35*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1000 is divided by 123?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3104 + 3005?\nAnswer: 10113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 24*r**3 + 9*r**2 + 5*r. Let g(x) = -36*x**3 - 14*x**2 - 8*x. What is 5*g(f) + 8*t(f)?\nAnswer: 12*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-57*x**2 + 71*x**2 + 139*x**2)*(7 - 7 - 5*x)*((-2 + 4 - 4)*(2 + 2 - 2) + (0 + 2 + 0)*(3 - 1 - 3) + 1 - 3 + 0) as i + b*x**2 + j*x**3 + d*x and give j.\nAnswer: 6120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(19\/(19\/(-2))))\/(1\/28)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (5 - 7)) + -8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**3 + 40*s**2 + 25*s + 161. Let d be z(-13). Solve 3*p - 7 = 6*u - 4*u, -3*p + 14 = d*u for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vq when two letters picked without replacement from qqvavdalvvvlvvd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -8*w**2 + 43 + 79\/6*w**3 + 2*w. What is the first derivative of i(n) wrt n?\nAnswer: 79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {o: 1, i: 5, t: 5}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 12\/7. Let b = 11.8 - 11. Let m = 1.1 - b. Sort t, m, 3 in decreasing order.\nAnswer: 3, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 33*i**2 - 130*i + 1197. Let m be n(30). Do -374\/131 and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 8*v**2 - 10*v + 6. Let w(q) = q**3 + 5*q**2 + 4*q. Let g be w(-3). List the prime factors of n(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, j: 1, z: 3, p: 1, l: 3, x: 2}. What is prob of picking 1 j, 1 b, 1 p, and 1 x?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 799 is divided by 49.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2418284 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2556 and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7030 + -309341\/44. Find the common denominator of (-7722)\/(-4004)*14\/(-88) and g.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1310 divided by -2809.\nAnswer: -1310\/2809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44142860.\nAnswer: 2, 5, 2207143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 25*c**2 - 27*c - 24. Let f be t(-26). Solve 11 = f*m + 1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/85 or 0?\nAnswer: -12\/85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 874215 to the power of 1\/2, to the nearest integer?\nAnswer: 935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-34)\/(-51))\/((-1)\/(-6))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -481 - -491. Calculate the remainder when 70 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*w**4\/2 + 69*w**3\/2 + 117*w**2\/2 + 87*w\/2 + 12.\nAnswer: 3*(w + 1)**3*(5*w + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1223747?\nAnswer: 7, 174821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 9*b - 9. Let f be o(-7). Let x = -3 - -4. Let m = 1 + 1. What is the second biggest value in m, x, f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*u - 6 = 0. Suppose -3*y - 4*x = -27, -2*x + 12 = u*x. Find the second derivative of s - 12*s**5 - 2*s + 5*s**5 - 6*s**y wrt s.\nAnswer: -260*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*r = -2, -3*n + 13 = r + 1. Suppose n*w + 5*y = 58 + 727, -y = 2*w - 309. Let a be -7 - w\/(-32) - 2*-1. What is the smallest value in a, -2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3408\/583 + -252\/53. What is the closest to 1 in -3, -5, t, -0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 44*x**2 - 3*x + 7. Let w(f) = -43*f**2 + 3*f - 8. Let z(y) = 6*v(y) + 5*w(y). Calculate the remainder when 191 is divided by z(1).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 516.0251um?\nAnswer: 0.5160251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4200, 16805, 37814, 67227, 105044?\n\"Answer: 4202*j**2 - j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -16*k - 102. Let g be a(-6). Is (-7)\/(126\/g)*3453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-2)*(-2 + 4). Suppose 5*t - 13 = -2*l, -4*t - 1 = -6*t - 5*l. What is the third smallest value in t, -5, m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aqbqqmaqmaaqqyaq. What is prob of sequence qqm?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7802970, -7802933, -7802896?\n\"Answer: 37*x - 7803007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -1. Let g be (r - 0)*(-2 + 5). Let q be (-4)\/8 + 14\/4. Solve 2*w - g = q for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = 2*c - 4*v, -3*c + 169 = 4*v - 25. What is the highest common divisor of 98 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2026 + 2070. Is 0.01 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 90, 21, -38, 0.1, 0.4, 1 in ascending order.\nAnswer: -38, 0.1, 0.4, 1, 21, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1594814 to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 3*d + 17, -14 = -0*m - 2*m + 4*d. Let a(n) = -43*n**3 + n**2 + n + 1. Let y be a(m). What are the prime factors of ((-11)\/y)\/((-1)\/284)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -r**5\/60 - 13*r**4\/12 + 19*r**3\/3 - 7*r**2 + r. Let d be p(-28). Is d smaller than -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41874 * -2.7849.\nAnswer: 116614.9026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + 2*h**2 - 2*h**3)*(-2 + 0 + 7 + (6 + 1 + 0)*(1 + 0 + 1))*(-3 - 8*h + 3)*(4*h - 3*h - 3*h).\nAnswer: -608*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/36*(-16)\/(-14)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1324 (base 9) to base 7.\nAnswer: 2620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 10:03 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 996343198 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3776904 and 612?\nAnswer: 64207368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 704487854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x - 24 = -3*j, -56*j + x + 11 = -28*j - 30*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 492100 by -1406.\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2520 divided by 126?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 d when two letters picked without replacement from ddl.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 102\/(-136)*(1 - 3 - 2). Let l be 2\/3*-9 - -3. Let k be -8*(10\/4 + l). Sort -3, m, k in increasing order.\nAnswer: -3, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 848 + -844. Solve y + 10 = 4*y + z, i*z = 4*y - 24 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28.68 + -0.82. Let z = b + 29. Round z to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*d + 4*g, -25 = -4*d + g + 2*g. Let v be d\/(-12) + (-92)\/(-6). Suppose 6 - v = 3*t. Let w(n) = 2*n**2 + 5*n + 2. Determine w(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = m - 12 - 17, 4*g + 24 = m. Let x be (3\/((-18)\/m))\/(50\/(-375)). Let i be (1610\/21)\/x + 4\/6. What is i rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 6:53 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + p + 5. Suppose 3*c + 302 = 3*w - 2980, -3*c = -9. Let o = w + -1095. Calculate the least common multiple of o and u(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-19)\/((-665)\/(-230)) + (-4)\/(-7). Let d(y) = 2*y**2 - y**2 + 2 + 3 + 6*y. Let a be d(k). Solve -3*n = o - 19, 0*n + a*o - 15 = n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1385)\/330 + (-4)\/6 and -83\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -3. Let c be (-1 - p)*(-8)\/4. Suppose c*g - 42 = -j, -3*g + 2*g = j - 19. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of 0*j**4 - 3*j + 0 + 56*j**2 - 1\/20*j**5 + 0*j**3. Let h(a) be the first derivative of -4*a**3\/3 + 1. Calculate h(g(o)).\nAnswer: -36*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 747663743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1320813 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: Find the second derivative of 376*y**2 + 3*y - 17 wrt y.\nAnswer: 752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 488a438?\nAnswer: -488a433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4144, 4164, 4198, 4246, 4308, 4384, 4474?\nAnswer: 4578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/1)\/((-50)\/(-12) - 7\/2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -13.5 times -0.2\nAnswer: 2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + k**2 - k - 1. Let b(c) = 2*c**3 - 5*c**2 + 4*c - 617. Give b(w) + 4*z(w).\nAnswer: -2*w**3 - w**2 - 621","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.20105663 - 23.8552.\nAnswer: -24.05625663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3112063 divided by 6.\nAnswer: -3112063\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u + 13. Let h be d(-9). Let n(c) = c**3 + 4*c**2 - 6*c - 1. What is the units digit of n(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 123 and 943.\nAnswer: 2829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 3:38 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 239*o**5 + 1284*o**4 + 3*o**3 - 17020613*o?\nAnswer: 4780*o**3 + 15408*o**2 + 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 2*i = 1 - 10, -20*a - i - 43 = -18*a for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 5)*1\/(-1). Let j(p) = -10*p**2 - 2*p**2 + 30*p**2 + 5*p**a. Let t(u) = u**2. What is t(j(b))?\nAnswer: 529*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70\/(-6)*(9 - 12) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 4:48 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45200 and 9810?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -652 + 666. Solve -p*n + 24*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30671?\nAnswer: 30671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 6*t**2 + t. Let d be j(7). Suppose 4*l - d = 16. Calculate the smallest common multiple of 2 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*j - 10 + 1, -5*j - 5*s = -5. Suppose j*p - 5 = p. Suppose -p*t + b = 0, 5*b + 25 = -0*b. Is -6 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0310954392 rounded to three decimal places?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (((-222)\/27)\/(2\/((-100)\/25)))\/((-4)\/(-18))\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -2922?\nAnswer: 8766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3733*-278.\nAnswer: -1037774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3002 - -3054. What is the greatest common factor of n and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f**2 - 10*f**2 + 2*f**2. Let m(h) = -2 + 2 - h**2 + 0. Calculate m(i(a)).\nAnswer: -16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/16)\/(63\/(-28)) - 3. Let r = n - -3. Is 0.1 greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -2, -0.18232, -1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aad when three letters picked without replacement from {f: 3, d: 1, j: 4, p: 1, a: 5}.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 2, -3, -14, 3, 100\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -353 (b) -1 (c) 3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11029?\nAnswer: 41, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 0*h**2 + 2*h + 2*h + h**2 - 3*h - 12. Calculate w(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 868283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = a - 3262, -13*x + 8*x + 5436 = 2*a. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l**3 - 6*l**2 + 3*l + 7. Is u(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/6*(-594)\/(-110). Is l\/(-36) + 17086\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 - 48. Let z be d - (-1)\/(4\/36). Find the second derivative of -z*r + 6*r - 8*r**5 + 9*r wrt r.\nAnswer: -160*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 54, 105, -1, -11, -5 in increasing order.\nAnswer: -11, -5, -1, 4, 54, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/3))**(-1\/18)\/(a**(-2\/5)*a*a**4\/a) assuming a is positive.\nAnswer: a**(-491\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 890206067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-24) - (-4004)\/(-208)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*j + 6. What is the third derivative of 0 + 0 - 5*q**3 + q**2 + 4*q**j wrt q?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 5. Let l = 110 + -110.4. Put l, 5, j in decreasing order.\nAnswer: 5, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 0 - (-12 - (-8 + -4)) - (2 - 14).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 293, 558, 827, 1100, 1377, 1658?\nAnswer: 1943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1534799.6 to the nearest one hundred.\nAnswer: 1534800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8179573 - -2279573. Let y(l) = -l**3 + 3*l**2 + 3*l - 15. Let s be y(3). Let v be h\/s*(24 + 0). Round v to the nearest 1000000.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-75))\/(616\/385)?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 140.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 141*n**2 - 16*n - 19. What is v(-1)?\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14790 = 23*o - 13*o. Let l = o - -44557\/30. Let g = -8\/179 + 6019\/2506. What is the common denominator of g and l?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-2\/3)*o)**(15\/4)\/((o\/o**1)\/(o\/(o\/(o*o*o**(-3\/7)*o*o)))) assuming o is positive.\nAnswer: o**(95\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -71\/3? (a) 43 (b) 9 (c) 1\/8 (d) -0.2 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8307605*g**3 - 4702052870*g**2 - 29182880*g - 45280.\nAnswer: 5*(g - 566)*(1289*g + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -18103.651 and -3485.77?\nAnswer: 14617.881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 d when two letters picked without replacement from {k: 3, f: 3, d: 1, v: 4}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5166 divided by 6?\nAnswer: -861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a**3 - 2*a - 4. Let t = 79 + -43. Let r be (t\/30)\/(4\/10). Let o(p) = 4*p**3 + 3*p + 5. Determine r*y(g) + 2*o(g).\nAnswer: -g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 807, 1104, 1401?\nAnswer: 1698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1324704 - 1324704 + 8458*j as c*j + s and give c.\nAnswer: 8458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-116)\/3*(128622\/(-136) + 9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g + 0*g**2 - g**3 + 2 - g**2 + 8*g**2. Let r be b(6). Let d = 28 - r. Calculate the highest common divisor of d and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*u - 1805, -2*h - 6835 = -5*u - 2332. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -71\/79925?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 20d3 (base 16) to base 7\nAnswer: 33333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5170 a factor of 381289390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 238 and 1484?\nAnswer: 25228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3071.3 times 0.6\nAnswer: -1842.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p - 3. Let z(g) = -g + 7. Let j(r) = 5*h(r) + 2*z(r). Calculate the remainder when j(8) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -6. Sort 1, 2\/5, p in ascending order.\nAnswer: 2\/5, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11355.58 and 0.5?\nAnswer: -5677.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -168*j**3 + j**2 - j + 2. List the prime factors of w(-2).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/26268 and 48\/13241261.\nAnswer: 158895132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -22140004 (base 5) in base 8?\nAnswer: -571151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -163 + 71. Let v = q + 83. Let b(r) = -41*r + 30. Let s(c) = -82*c + 59. Let f(a) = v*b(a) + 4*s(a). What is the derivative of f(y) wrt y?\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(3) + (sqrt(3) - (sqrt(27) + 0)**2)) + -4.\nAnswer: -2*sqrt(3) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -290 - -470. Suppose -6*i = -3*i - y. Calculate the highest common factor of 15 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.861818 nanograms?\nAnswer: 0.000861818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.297316ml in litres?\nAnswer: 0.002297316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -15713, -28723, -41733, -54743, -67753, -80763?\n\"Answer: -13010*s - 2703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-430)\/495 - (-1)\/33*3?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 - d**2 - 199625*d + 199625*d.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -16. Suppose 0 = -d - u*d + 16. Let t be ((-114)\/(-27) - 4) + (-43)\/(-9). Solve -d*w - 15 = t, 0 = -2*k - 4*w - 30 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 - (-22 + 53 - 10 - (1 - 1))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/64 - -4) + 0 + -4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 6*h - 8. Let n(b) = 38*b - b**2 + 4 - 45*b - 6. Let i be n(-6). What is the remainder when m(i) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 5*z = -102200230. Let w = z + -119145027587\/5829. Let x = w - 5\/201. Is x >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 59.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 3\/67927033?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**3 + 2*x - 1. Let a(m) = 4*m**3 - 3*m + 2. Let t(l) = 3*a(l) + 5*q(l). Let h be (-1 - (-8 + 4 + 2))\/(-1). Calculate t(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32.42 + -32.32. Put j, -0.5, -11, 0 in decreasing order.\nAnswer: j, 0, -0.5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 48, 112, 202, 318, 460, 628, 822?\n\"Answer: 13*v**2 + 25*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5*u = -182. Suppose n - u = 6. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 17 = 5*h, -5*h + 2*z + z = -18. Solve -h*m + 11 - 5 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 153*y**3 - 85*y**2 + 85*y. Let a(r) = 11*r**3 - 6*r**2 + 6*r. Determine -85*a(x) + 6*l(x).\nAnswer: -17*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t**3 - 2*t**4 - 2*t**3 + 3*t**2 + 1 + t**3 - 3*t**3 + 19*t + 0*t to the form r*t**4 + h*t**3 + p*t**2 + b*t + w and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a year in months?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170)*-1)\/sqrt(10) + (1 + sqrt(17))*-1)**2.\nAnswer: 4*sqrt(17) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -19*b**5\/6 - 1105*b**4\/6 - 4243*b**3\/6 + 487*b**2\/2 + 1947*b - 1296 = 0.\nAnswer: -54, -3, 16\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s + 1. Let t(c) be the first derivative of -2*c**2 - c + 90. Give 5*d(b) + 6*t(b).\nAnswer: -9*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -104, -0.8, 4, -22, -3 in increasing order.\nAnswer: -104, -22, -3, -0.8, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5735*l**2 + 5*l - 7. Is a(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53 + 46 + -86 + 48?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1c (base 13) to base 15\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) + sqrt(252)*1 + sqrt(28) - sqrt(112)\/sqrt(4)*5)\/(2*sqrt(100) + (sqrt(4) - sqrt(36) - sqrt(4))*-3))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -a**6\/120 - 3*a**5\/40 - 13*a**4\/48 - a**3\/2 - a**2\/2 - a. Factor t(y).\nAnswer: -(y + 1)**2*(y + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8667495\/296 + -29282. What is the common denominator of -61\/40 and z?\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -1\/2, -32, 3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*b**2 - 2*b**2 - b**2 + 3 + b**2 - 3 + (3*b - 8*b + 3*b)*(-6*b + 2*b + 2*b) + (-12 - 21 + 62)*(-3*b**2 + b**2 + b**2).\nAnswer: -13*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-40)\/15)\/(-2))\/(-7)*18\/(-8).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 3*z + 24. Suppose -3*x - 2*f - z = 0, x - f - f = 2. What is the units digit of (-8)\/(-2) - (3 + x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2 + 27\/((-972)\/30)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7647 (base 15) to base 8.\nAnswer: -60722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -100 divided by 50\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**4 - 4106*j**3 + 416395*j**2 + 420500*j = 0.\nAnswer: -4205, -1, 0, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*5*(sqrt(2736) + 2 + (sqrt(2736) + (sqrt(2736) + 1)**2 - sqrt(2736)) - (3 + sqrt(2736) + (sqrt(2736)*-2 - sqrt(2736)))) + -3)*6.\nAnswer: 3600*sqrt(19) + 164146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express w**3 - 6*w**3 - 4 + w + 7 + 4*w**3 + 30*w**2 in the form q + g*w**3 + x*w**2 + r*w and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(-6)\/(-4) + 6. Suppose -3*f = -9 - k. Suppose -f*s + 192 = -0*s. Is 19 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-69)\/((-5)\/165*3). What is the highest common factor of 69 and q?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 12 = 3*d, -4*h + 7*d = 6*d - 4. Solve 4*t - 19 = 10*p - 15*p, h = -p - 3*t + 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/9)\/(2\/(-12)). Let y(k) = -9 + 9 - 8*k**x. Let z(p) = -2*p. What is z(y(t))?\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i - 45. Let o(p) = 2*p + 2. Let n(h) = k(h) + 2*o(h). Let m be n(12). Is 24 at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 21 = -4*n - 3, -4*p = -n + 13. Suppose -5*k = -s + 2*s - 21, 0 = -3*s - k + 105. Suppose 0*t + 6*t = -s. Sort t, n, -4 in decreasing order.\nAnswer: n, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.8 + -7. Do -3\/4 and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 10*a**3 + a**2 + 3*a + 1. Let u be o(-2). Let p = -56 + 19. Let x = p - u. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/205 and 139\/17616.\nAnswer: 3611280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -644, -653, -674, -713, -776, -869?\n\"Answer: -d**3 - 2*d - 641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 + -13.434.\nAnswer: -21.434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)*-2)\/sqrt(6) + sqrt(13) + sqrt(52)\/(sqrt(4)*-4))**2.\nAnswer: 325\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/48 and -151\/34728.\nAnswer: 69456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -70*y**4 - 1906217*y**2 - 727197496*y + 2.\nAnswer: -840*y**2 - 3812434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1532396, -1532417, -1532428, -1532423, -1532396, -1532341, -1532252, -1532123?\n\"Answer: m**3 - m**2 - 25*m - 1532371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/40215 and 2\/16905.\nAnswer: 6474615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/87 + 187\/1131. Sort 1\/2, j, -2.\nAnswer: -2, j, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 2*n + 18, -n - 4 + 0 = 0. Let s be (-875)\/p*(-204)\/(-15). Round s to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 66 = -7*q + 30*b, -5*q + 2*b + 19 = 2 - 7 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.823922 months in centuries?\nAnswer: 0.011519935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -916 by -2.\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6.994583 and -5.\nAnswer: -11.994583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -4900000 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4 = 36. Suppose 189 = x*i + 29. Suppose 0 = -b + c + 9, 0 = -2*b + 3*c + 2*c + 33. Calculate the highest common divisor of i and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*k - 83*k = 0. Let g(p) be the third derivative of 2\/3*p**3 - 7\/24*p**4 + k + 1\/60*p**5 - 6*p**2 + 0*p. Determine g(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -81, 0, -5\/3, -6904, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d32 - -5?\nAnswer: d37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.004 + -0.02. Let k = 276.624 + -276.7. Let h = k + r. Which is the smallest value? (a) 1 (b) h (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-10))\/(86\/6149*-13)\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/2)\/(462\/56)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1509 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -h**7\/4200 - h**6\/1800 - 20*h**3\/3 + 16. Let d(r) be the third derivative of l(r). What is q in d(q) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -40 + 46 + 18\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 - -27. Sort 11, c, -0.1 in increasing order.\nAnswer: -0.1, c, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -562\/29 in 3, -1, 2\/3, 1\/3, 1\/2, 10.38?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -65602 + -222?\nAnswer: -66124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -5 + 89 + -73\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 99 = -16*x + 131 - 10, 3*p - 47 = -4*x + 2*x - 121 for p.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -84 + 982. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**5 + 2988*a**4 + 9000*a**3 + 16*a**2 - 12000*a = 0. What is a?\nAnswer: -2, 0, 1, 750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 33\/5 of a millennium?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of 371*h**4\/3 + 506*h**3\/3 - 1180*h. Find the second derivative of n(r) wrt r.\nAnswer: 2968","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-3) - 1)\/2. Let n = g - -2. Suppose 27 = h - 5*z, -2*h + 3*z + 16 = -3. Solve n*b - h + 0 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 43 - -351010256?\nAnswer: 351010332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by 76.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 4*u - 2 = 0, -6*z - 5*u - 116 + 138 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l**3 + 73 - 34 - 38 - 2*l**3 + 10*l in the form r + z*l**3 + u*l**2 + b*l and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(171) - (-2 + sqrt(171) + 5) - (-1 + sqrt(171)*1))**2 + (sqrt(171) - (sqrt(171) + sqrt(171)*1))**2*1*-2.\nAnswer: -162 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v + 6. Let t(f) be the second derivative of -f**3\/6 + 5*f**2\/2 + 2*f. Let b(z) = 2*g(z) - 3*t(z). Let w be b(-3). Solve w*m + 2 = -2*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -25. Let w be (-21)\/5 - 5\/q. Let b be 2\/6*171\/57. Put w, -5, 4, b in descending order.\nAnswer: 4, b, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/4902924 and 3\/148722028?\nAnswer: 446166084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -438 + 489. Solve 64*q = y*q - 78 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(2 + 0 + 1)*(88*y + 39*y - 16*y)*((-3 + 2 + 2)*(4*y**3 - 2*y**3 - 4*y**3) - 2*y**3 - y**3 + y**3 + (-1 - 1 + 5)*(-2*y**3 - 4*y**2 + 4*y**2)).\nAnswer: -3330*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 9:00 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*p - 8*p + 7*p)*(p - 5*p + 3*p) + 6*p**2 - 3*p**2 - 5*p**2 + (3 - 3 - p)*(4 - 4 + 2*p).\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -858*y = -859*y - 5. Let w(h) = 3*h**3 + 15*h**2 - 2*h + 25. Let z(m) = -2*m**3 - 10*m**2 + m - 16. Let j(g) = -5*w(g) - 8*z(g). Determine j(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a meter in micrometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w**(-14)\/w)))\/w*w\/(w\/(w**6*w))*w**(-2\/5)\/w*w*w**(-14) assuming w is positive.\nAnswer: w**(-117\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 41787 = -5*h, -6*o = -3*h - 10*o + 25053. Let b = -4175 + h. Round b to the nearest 100.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 2:17 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 9:09 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1)\/(((-224)\/80)\/14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 508219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -19 + -1 + (7 - (-2 + (14 - 7)))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 - -53. Suppose 3*k = d*k + 52. Is 5 a factor of (-1 - k)\/(9\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011 - 110001110101000?\nAnswer: -110001111000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6010514 + 6010515. Let s = -24.27 - -24. Let a = 4.98 + 0.02. What is the nearest to j in -0.3, s, a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*g + 5*m, g = m + 1 + 3. Sort g, -2, -1 in descending order.\nAnswer: g, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/20)\/(10591\/(-18156))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 5, -9286, -5239 in decreasing order.\nAnswer: 5, 2, -2, -5239, -9286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.98 - -419.87929.\nAnswer: 409.89929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 2. Let s(g) = g**2 - 9*g + 3. Suppose -28 = -4*n - 4*f, -3*n - 5*f + 21 = 2. Let p be s(n). Put p, -3, q in descending order.\nAnswer: q, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 5*l + 416. Is 32 a factor of c(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -5*d**2 + 3520*d + 17725 = 0.\nAnswer: -5, 709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 2056.\nAnswer: 18504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -4 - -1 - (-14)\/(-3).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 0, -1\/11, -2\/9, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.11 - -6.89. Let g = -6.8 + q. Put g, 3, -0.1 in ascending order.\nAnswer: -0.1, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14304 and 736.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/4*-229*2. Let u(n) = 229 - 5*n - l. Let k(v) be the first derivative of -v**3 + 21. Give k(u(o)).\nAnswer: -75*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17976 divided by 821?\nAnswer: 17976\/821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -1)\/((42\/28)\/3). Let -2\/5*a**3 - 4\/5*a**b + 2\/5*a + 4\/5 = 0. Calculate a.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(3 - (-352)\/(-116)). Let n = x - -31. Let h(i) = -2*i + 3*i + n*i. Calculate h(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*((-2*d + 2*d - 2*d)*(1 + 0 + 0) - 2*d - 3*d + 3*d - 5804*d - 45714*d - 31507*d + 18349*d + (3*d + d - 3*d)*(0 - 1 + 0)).\nAnswer: -129362*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 134*y + 256. Let w be u(16). What is w rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -1\/102*i**4 + 0 - 77*i - 8\/17*i**2 + 10\/51*i**3 - 1\/170*i**5. Factor t(l).\nAnswer: -2*(l - 2)*(l - 1)*(l + 4)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 0.35 (c) -4 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 3*t + 1. Let b = -104 + 4247. Let k(y) = -b + 2072 - y**3 + y + y**2 + 2070. Determine -k(a) - r(a).\nAnswer: a**3 - 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + m + 2*m**3)*(43 + 2 + 0).\nAnswer: 90*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 321 = -1966. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f + 2*f + f)*(3*f**2 - 5*f**2 + 6*f**2) + f**3 - 4*f**3 + 4*f**3 - 5*f - 2*f**3 + 5*f to the form w*f + u*f**2 + c*f**3 + l and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00055346383 rounded to 5 dps?\nAnswer: 0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 2*g = 6, -2*u + 5*g - 1 - 2 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 1 + (5 + 0 - 4 + (1 + 1 + 0)*(-2 + 2 + 2) + 1 - 1 + 1)*(4 - 8 - 5))*(3 - 6 + 2)*(11*g - 5*g + 7*g) to the form v*g + q and give v.\nAnswer: 676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 10*x**2 - 12*x - 14. Let m be n(-11). Let h(j) = 17*j**2 + 5*j + 2. Let d be h(m). Calculate the highest common divisor of d and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2409 = -792*o + 661*o + 1914 for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(171) + (-1*sqrt(171) - sqrt(171) - sqrt(171))*6)\/((sqrt(81) - 2*sqrt(81)) + sqrt(9)) + 2)**2.\nAnswer: 34*sqrt(19) + 5495\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 824530919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275 - 87 = 12*v - 158 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-66 - -33)\/(1\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -12 + 7*a**2 + 9*a + 13 + 7*a**2. Let y be u(-6). Suppose -2*w - y = -31. Round w to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 0, -5, 26?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/11, 2\/3, -1\/6, -213, -11, -2\/3, 0.4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yv when two letters picked without replacement from {y: 1, v: 6, a: 1, u: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -2837 - 65. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/4 or -0.841?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 415 and 44817925.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 2 - 10. Suppose -7 = -9*l + o*l. Solve -4*w - 29 = -3*m, -m + 4 - l = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10, 13, 16, 19, 22?\n\"Answer: 3*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*f**2*t**2 - 56*f*t**3 - 488*f - 19*t**3 + 10*t - 83 wrt f?\nAnswer: 16*f*t**2 - 56*t**3 - 488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 15 = -k, -4*p + 8 = k - 11. Let c = -525 - -526. Solve k*x - c = -5*q + 5, -3*q - 8 = -4*x for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-6))\/(2\/12). Differentiate 0*b**2 + 5 + 0*b + 0*b - b**o with respect to b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 + 25 - (-9 - -13)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*a - 36 = 64*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12929282 a multiple of 578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/(sqrt(16)\/sqrt(4)))\/((sqrt(4) - (sqrt(4)*-1 + sqrt(4)))*5).\nAnswer: sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0 - 8 = 0. Suppose b*h + 135 = 7*h. Suppose -4*f + 7*f - h = 0. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (715\/66)\/(8095\/(-3238)).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.341 rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2499103*z**2 + 415528*z**2 - 1475922*z**2.\nAnswer: -3559497*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 8*d + 2. Let m(q) = -q**2 - 9*q - 8. Let j be m(-7). Let s be n(j). Let p = 77 - s. Does 15 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.04 + 0.96. Let m = -135 - -133. Which is the closest to 0.4? (a) m (b) j (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (41328\/441)\/16 + 2\/14\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*p - 258*p - 788 = 17908 for p.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**4\/14 + 52*v**3\/7 + 2028*v**2\/7 - 1491*v. Suppose y(f) = 0. Calculate f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11 or -3032\/295?\nAnswer: -3032\/295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(30) + sqrt(90)\/sqrt(3)*-4)\/(sqrt(60)\/sqrt(810)))**2.\nAnswer: 3641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-28))\/((817282\/644)\/109).\nAnswer: 2\/163","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-256)\/(-448))\/(22\/(-7)). Let t = 2.6 + -1.5. Let z = t - 0.1. Which is the closest to z? (a) -5 (b) k (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 319*x - 4. Let c(y) = 324*y - 5. Give 6*c(v) - 7*s(v).\nAnswer: -289*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1014 and 390.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 153, 318, 427, 450, 357, 118, -297, -918?\n\"Answer: -5*h**3 + 2*h**2 + 194*h - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 31 = 2*u - 7*u, -4*u - 20 = 0. Suppose 1 = -a*k + 7. Solve 1 = -k*p + 4*f - 3, 5*f + 4 = -2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 14252753?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 90, 10, -5, 3, 4 in decreasing order.\nAnswer: 90, 10, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.41 + -0.71. What is the second biggest value in -4, z, 11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-3*sqrt(152) + 3*sqrt(152)*-2)\/(((sqrt(96)*1 + sqrt(96))*-2)\/(-2*sqrt(192))).\nAnswer: -42*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 0 + 0*i**2 - 1\/20*i**5 - 1\/6*i**3 - 3*i + 1\/6*i**4. Factor c(a).\nAnswer: -a*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n + n + n + 3*n**3 - 4*n to the form c + j*n**3 + q*n + i*n**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -15652\/9 and -1739 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) 4 (c) 0.4 (d) 223 (e) 0.3 (f) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 0*k. Suppose 12*x**2 - 4*x**3 - 9*x + k*x**2 + x = 0. What is x?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*u = 5*u + 486 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 + 38.4. Let m = -3 - h. Which is greater: 1\/2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 4\/9, 4, 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1 (b) -23\/4 (c) 0.454\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5236140 divided by 2548.\nAnswer: 2055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 147760 and 160?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/(-1))\/(-1))\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, i: 4, n: 2}. Give prob of picking 4 m.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-144)\/660*(-35)\/(-14).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 925*j**2 + 2 + 11.\nAnswer: 925*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/2 - 9*p**2\/2 - 12*p - 8.\nAnswer: -(p + 1)*(p + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 130*m**2. Let q(j) = -6*j**2. What is u(q(f))?\nAnswer: 4680*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + (-19)\/6 - 0. Let a be 32\/45 + (-2)\/18. Sort g, a, -3.\nAnswer: -3, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297941 > 297941?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/4)\/(24\/448). Suppose -4*w + 40 = 16. Calculate the greatest common factor of i and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28544?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and -11118242791507.\nAnswer: -11118242791509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1160.23959 rounded to the nearest ten?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (62*110\/(-605))\/((-8)\/(-44)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 392 - 672. Let v be (-1)\/4 + 0 - 32270\/y. Let t = 124 + -78. What is the greatest common factor of t and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62104.2 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5020452 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/3412 and -33\/1603640.\nAnswer: 1603640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/925 (b) 4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x**5 - 168*x**4 - 393*x**3 + 129*x**2 + 246*x - 96 = 0.\nAnswer: -2, -1, 1\/2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -4*q + 5*k - 150, 4*k = 3*q - 128. Let a be (-8)\/q - (-2)\/10. Solve 3*r + 4 + 5 = a for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32046, -64100, -96154, -128208?\nAnswer: -160262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11665 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - 3*x = -678*m - 5395 + 3406, -2*x = -5*m - 45 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*s - 43*s + 82*s + 13.\nAnswer: -s + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -146 - -146.00182. What is x rounded to four dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5922\/1316*(-28)\/(-18).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 1)\/(40\/100*-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(12\/7)*c)*c**(-14))\/(c\/(c\/((c\/(c\/(c*(c*(c**28\/c)\/c)\/c)))\/c)*c)*c\/(c**(-8)\/c)) assuming c is positive.\nAnswer: c**(-362\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 11 = -9. Calculate the remainder when 26 is divided by 48\/20*5 - (q + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -10\/9 (b) -21 (c) -1\/7 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, z: 5, t: 3, q: 5, l: 5}. Give prob of sequence qz.\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7*30\/175*10\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (13 - 5) + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-11 + -1 - (-1 + 0)) + 2376 + -2367\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 2\/5 (c) -0.36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = p - 101, 6*o = 2*o + p + 123. Solve o*y + 6 = -26 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*h**2 - 217*h**2 + 369*h**2.\nAnswer: -40*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -407*a**3*s - 1069*a**3 + 2*a wrt s?\nAnswer: -407*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -27*c**2. Let y(q) = q**2 + 41. Give z(y(p)).\nAnswer: -27*p**4 - 2214*p**2 - 45387","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u = 9*u - n - 1, 1 = 2*u - n. Solve u = -2*z + s + 4, -3*z + 2*s = 3*s - 11 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -18*c - 4. Let o be g(-2). Let a be (-1 - o\/40)*(-10)\/3. Let h(u) = -u + 8. Let z be h(8). Solve z = 2*w - a for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 434 divide 167548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/44746 and -85\/18.\nAnswer: 402714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 2457\/63 - (-1 + 0)*27\/(-3)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/6, -5, 5, -0.12, -24?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -2*s - 2, 4*a - 9 = -5*s + 4 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -b + 5*q, 2*q = -5*b + 1 + 20. Suppose 2*x - 19 = -5*z + x, x + 13 = 3*z. Solve 4 = -b*h - 2*o + 20, 5*o - 33 = -z*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -814\/7 + 116. Sort z, 5, -2\/3 in ascending order.\nAnswer: -2\/3, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(121)*-5)\/sqrt(11) - sqrt(275)*3*1.\nAnswer: -25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/3*(-123)\/1066.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 850, 1864, 2994, 4300, 5842, 7680, 9874?\nAnswer: 12484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*m + 1739 + 4618 = -936 for m.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2376 = 24*r - 624. What is the remainder when r is divided by 46?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -188050324 < -188050328?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2347 - 544?\nAnswer: -3113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 10*k + 17 - k**2 + 22*k + 16*k. Let c be f(23). Put -27, -2, c in increasing order.\nAnswer: -27, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 26*c**2 - 860*c + 22. Let r(i) = -14*i**2 + 431*i - 12. Calculate 6*p(z) + 11*r(z).\nAnswer: 2*z**2 - 419*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/5 - 3936\/10. Let h = -280 - j. What is the remainder when h is divided by 234\/8 + 10\/(-40)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29443065 to the nearest integer?\nAnswer: 5426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1968565.\nAnswer: 5, 393713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -0*u - 2*u + 614, 308 = u + 2*n. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8103971.\nAnswer: 8103971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**4\/12 - n**3\/2 - 5*n**2\/2 - 9531*n. Determine d(5).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173826 to the power of 1\/2, to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-150000)\/(-9))\/(3\/(-288)). Round k to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -978 = 7*b - 4*b. Let a = 323 + b. What is the nearest to -1\/2 in a, -1\/5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -48, 4, -14787 in decreasing order.\nAnswer: 12, 4, -48, -14787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0936282 - 4.9063718. Let i = 0 - 0.2. What is the closest to j in 0.2, -5, -2\/3, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**2*((y*(y**(2\/5)\/y*y)\/y)\/y)\/y)\/(y**(-9)*y**(3\/17)) assuming y is positive.\nAnswer: y**(784\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5*j**3 + 5*j**2 - 5. Let p(m) = m**3 - 1. Let o(t) = -4*p(t) + u(t). Calculate o(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 85.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 191474 and -402.\nAnswer: 191072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - c. Let w(m) = 3*m**2 + 6*m + 12. Let b(u) = -6*r(u) - w(u). Factor b(z).\nAnswer: 3*(z - 2)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*a**3*d - 4*a**3*g + a**2*d*g - 5*a**2*v + 37*a + 12391*d*g*v - 40*g*v - 2*v wrt d.\nAnswer: -7*a**3 + a**2*g + 12391*g*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 2:42 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -5 - 0 - 2 - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -601*o**2. Let b(g) = 9*g - 45. Determine b(i(t)).\nAnswer: -5409*t**2 - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/27 (b) 8 (c) -11 (d) -0.1 (e) -0.18 (f) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5 - 3.5. Let r = -187 + -39. Let u = 225 + r. Which is the closest to 0.3? (a) k (b) 4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -209*n**3 - 77*n**2. Let p(j) = -3*j**3 - j**2 - 14*j - 13. Let k be p(-1). Let w(d) = 8*d**3 + 3*d**2. Give k*v(u) + 77*w(u).\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -45*j + 13. Let k be t(12). Let b = 523 + k. Let a(y) = -y + 5. Let w(o) = 1. What is b*a(v) + 22*w(v)?\nAnswer: 4*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.04 (b) -3 (c) -0.07 (d) -2 (e) -1.32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence of when two letters picked without replacement from {o: 3, f: 2, i: 1, q: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48315 is divided by 1074?\nAnswer: 1059","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24744383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 289*d**3 + 1173*d**2 + 1560*d + 676.\nAnswer: (d + 1)*(17*d + 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3eb75e (base 16) in base 14?\nAnswer: -78dc3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -110, -112, -110, -104?\n\"Answer: 2*h**2 - 8*h - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*sqrt(52) + 0)**2.\nAnswer: -40*sqrt(13) + 233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -2*s - 7, -3*g - 4 + 0 = 5*s for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011001111111101100001 + -1000?\nAnswer: 1011001111111101011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 23*g**2 - 42. Let j(y) = -23*y**2 + 2*y - 41. Let z(d) = 3*j(d) - 2*n(d). What is the hundreds digit of z(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148426 + -0.16315.\nAnswer: 148425.83685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (46\/8 + -6)*-388. What is the third derivative of 50*n**2 - 16*n**2 + r*n**3 + 32*n**2 - 6*n**3 wrt n?\nAnswer: 546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**11\/v*(v*v**(-2\/17)\/v)\/v)\/(v**(-2\/5)*v)**(-2\/31) assuming v is positive.\nAnswer: v**(23507\/2635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of d*j*z**2 - 8*d*j*z + 7*d*r*z**2 + d - 3*j**2*r + 152*j**2*z + 717*j*r*z**2 wrt r?\nAnswer: 7*d*z**2 - 3*j**2 + 717*j*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**5\/20 - 5*m**3\/3 - 161*m**2\/2 + 54*m. Let l(k) be the first derivative of t(k). Let p(s) = 3*s**2. Determine p(l(f)).\nAnswer: 27*f**4 - 180*f**2 + 300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l + 58831 - 35*l - 58832.\nAnswer: -32*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o - 3. Let w be l(-3). Suppose 0 = -4*a - w + 11. Solve c - 7 = 3*b, 0*b - b - a*c - 7 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 410 - 24?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i + 7. Let g(c) = -c. Let n(a) = 4*g(a) - r(a). Give n(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 + -0.2. Let i = r - 0.1. Let v = 10 - 11. Put i, v, 5 in ascending order.\nAnswer: v, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.302 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -6)*(10\/(-8) + 135\/60)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0045 + -0.2045. Put i, 3, -2.5 in decreasing order.\nAnswer: 3, i, -2.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v = -17*v - 120. Let s be -1 + 69\/4 - (-6)\/v. Suppose 15*c - s*c + 14 = 0. Calculate the highest common factor of 70 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -176489 divided by -98.\nAnswer: 176489\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 23 = 4*x. Let z = x + 13. Solve -z = 3*l - 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466295440.\nAnswer: 2, 5, 13, 43, 10427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*t - 118*t = 4. What is the third derivative of -14*z**3 + 11*z**3 - 48*z**2 + 3*z**t wrt z?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 4 = 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 347 and 56963173?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.25 - 30.95. Round k to zero decimal places.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five quarters of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**2\/3 - 1142*m\/3 - 1144\/3 = 0.\nAnswer: -1, 572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 159 + -138. Suppose -30*w + 31*w = v. List the prime factors of w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -107 - -195. Suppose 4*d = 3*s + d - 96, 4*s + 4*d - p = 0. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/56 + 102\/(-105))*20.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*r = 4, -2*v + 4 = -4*v - 2*r. Let z = -306\/5 - -27836\/455. Is z bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 + -34. Sort 2, 5, 1, r in ascending order.\nAnswer: r, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 695428 divided by 7\nAnswer: 695428\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -1042\/6183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 50 + -20 + 51 - 36\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 6:36 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 578393744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21410 to the power of 1\/2, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 30\/(-8) - 2\/8. Let n(m) = -15 + 4 - 14*m + 13*m + 5. Let a(l) = -2*l - 13. Determine w*a(b) + 9*n(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**6)**(-1\/27)*r**17*r*r**(-10)*r assuming r is positive.\nAnswer: r**(79\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x. Let z(q) = q**3 + 4*q**2 - 9*q - 12. Let m be z(-5). Let s(w) = 2*w - 1. Give m*g(u) - 3*s(u).\nAnswer: 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 1085470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -a**4\/12 - 7*a**3\/6 - 1291*a**2. What is d(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1*w)**43\/((w*w\/w**(-4))\/((((w\/w**6*w)\/w)\/w)\/w)))**19 assuming w is positive.\nAnswer: w**1387","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*a = 15*a - 73385 - 55375. Is 40 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s - 31. Let l be w(18). Suppose 2*j + 41 + l = 0. Does 20 divide 22\/(8\/j*(-1 - 0))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2523973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7525 and 143276?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 3 - 4) + (0 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - (-20 - 0\/(2 + -1)). Let c = 51 - z. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/2*1)\/(60\/(-40)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fw when two letters picked without replacement from {w: 1, g: 1, f: 2, a: 3, k: 1, x: 4}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-2)*(-1)\/(-1). Suppose 0 = 5*j - 2*x - 48, 2*j + h*x = j. Solve -5*f + j = -f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - 3*u - 3, 3*y + 170*u + 1 = 169*u for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12398 or -12397?\nAnswer: -12398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(5) - sqrt(25)\/sqrt(5)*-5 - sqrt(5))*1 - sqrt(45)\/(sqrt(9) + (sqrt(36) - sqrt(9))*2))*-1.\nAnswer: -14*sqrt(5)\/3 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, z: 3}. Give prob of sequence zzq.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 140\/112*80\/(-1700)\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18492 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.5 (b) -1\/3 (c) -4\/3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -n**7\/1008 + n**6\/240 + 7*n**5\/60 - 15*n**2. Let q(u) be the third derivative of c(u). Give q(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 26*j - 57. Calculate x(-13).\nAnswer: -395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11434, 22887, 34338, 45787, 57234, 68679?\nAnswer: 80122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2437*j**2*t**3 - 2*j**2 - 19*j + 2*t**3 - 3*t**2 - 16 wrt t?\nAnswer: 7311*j**2*t**2 + 6*t**2 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -17. Let d = -34 + 29. Sort p, d, -4 in ascending order.\nAnswer: d, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/496, 0.5, -496.\nAnswer: -496, 1\/496, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -10. Let d be (52\/(-6))\/(j\/9). Suppose f = d + 6. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-1 - 5) + 4 + (66 + -31 - 0).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 938148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 3*x**6\/14 - 3*x**5\/5 + 15*x**4\/28 - x**3\/7 + 33. Let w(q) = 0. Calculate q.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 3. Let o(c) = c**2 - c. Let p be o(x). Suppose u - 3412 - 2388 = p. What is u rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*n = 88*n + 107 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2258161354 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 73912052 to the power of 1\/3, to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 - 28. Suppose 14 - 4 = f*s. Let a be (3 - s)\/((-3)\/(-21)). Solve 2*b = a*b + 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from phzaspk. What is prob of sequence pska?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -222\/13 and -17 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16744\/1495*((-330)\/8)\/11.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 9 + 19. What is the least common multiple of 38 and x?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -2*i + 2*m + 28092, m - 56209 = -4*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8987832 divided by 1049\nAnswer: -8568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*sqrt(11) + sqrt(891) + 2)**2.\nAnswer: -32*sqrt(11) + 708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*b - 8525 = -22*b + 116*b - 1973 for b.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 50*t - 598. Calculate p(9).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {s: 1, f: 1, r: 5, u: 2, h: 5, v: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a factor of 4877928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -5381387.\nAnswer: -1\/5381387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-4 + (-3 - -1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34387541.\nAnswer: 37, 929393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1784502 - 1963059 = -118*w + 3655759. List the prime factors of w.\nAnswer: 2, 5, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x = -18*x + 2*b + 10, 3*x = -2*b for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*m**6 + 4*m**2 + 32*m**3 + 5*m**6 - 8*m**6 + m**6 + 5*m**6 - 145*m wrt m?\nAnswer: 1200*m**3 + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -62, -704, -2536, -6170, -12218?\n\"Answer: -102*w**3 + 17*w**2 + 21*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 200343164 from 101346.\nAnswer: -200241818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.44 + -1.56. What is the second smallest value in -6, -0.5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4 = -0*a. Suppose 0 = 3*p + a*p - 32500. Round p to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -443772987 divided by -127631?\nAnswer: 3477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**3 + 4*q - 3. Let p = -3 - -7. Let l(u) = -2*u**3 - 3*u + 2. Determine p*l(y) + 3*g(y).\nAnswer: -2*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 2*p**2 + 2*p. Let m be y(2). Suppose -9*k + 695 = -m*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1153761467, 2307522932, 3461284397, 4615045862, 5768807327, 6922568792?\n\"Answer: 1153761465*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 4*n - 342, -2*b + 6*b = -2*n + 276. Is b even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-18)\/5)\/((-3)\/15). Let n be (6 + -8)*(-27)\/2 + 0. Calculate the highest common divisor of y and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 9277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 9, e: 3}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t + 574 - 1155 + 581.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 0*u - 10 = 0, 0 = 3*a + u - 7. Suppose a*h + h - t - 898 = 0, -h - t = -227. Suppose -h - 9 = -2*f. Is 39 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -313*l + 329*l + 80 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33381 less than -3?\nAnswer: -33384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, j: 1, i: 3, v: 3, q: 3, a: 2}. Give prob of sequence ivq.\nAnswer: 9\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-5\/4)*q\/q**(-25)*q)**(-14\/3) assuming q is positive.\nAnswer: q**(-273\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -91954?\nAnswer: 91949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 3*c - 5. Let h = 132 - 142.9. Let z = 11 + h. What is the nearest to 1 in c, 0, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.1, -2\/9, -5, 0.2 in decreasing order.\nAnswer: 0.2, 0.1, -2\/9, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2513 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/5*4\/(-6). Let n be (i - -2 - 3) + 6. Factor -5*x**2 - n*x + 3*x**2 - x.\nAnswer: -2*x*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/14454 and 17\/876.\nAnswer: 28908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*x - h = -6 + 45, -3*x + 6*x - 2*x - 2*h + 11 = -0*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 24*x + 23*x = 7, 16 = -4*z + 2*x for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**6\/30 + o**5\/60 + 5*o**4\/12 - 7*o**3\/3 + 32*o**2. Let m be f(-9). Suppose -5*w = -6*w + m. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-3\/8))**31 assuming u is positive.\nAnswer: u**(341\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, z: 5, b: 1}. Give prob of picking 2 g and 1 b.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h - 7. Let r be k(5). Let i be ((-5)\/r)\/((-4)\/(-8)). Suppose i*p = 3*g - 27, -5*g + 3*p + 45 = -2*p. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 5*l**2 - 5*l + 9. Let q be i(-6). Let a(o) = q + 6 - 28 - 16 + 10*o. Does 9 divide a(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 907097 is divided by 772?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -25*y**2 - 1. Let j(b) be the first derivative of -b**3 - 2742. Calculate g(j(l)).\nAnswer: 150*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -20, -11, 0, 13, 28, 45, 64?\n\"Answer: w**2 + 6*w - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(46 + 25 - 28)*(-3*u**4 + 2*u**4 + 2*u**4 + (-2*u**2 + 0*u**2 + 0*u**2)*(-u**2 + 3*u**2 - 4*u**2) - u**4 - 3*u + 3*u).\nAnswer: -344*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-156)\/(-3) - 0)*422. Suppose -135001 = 3*t - z, -3*t - 3*z + b = 156941. Round t to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - b**2 - 1. Let h(z) = 5*z**2 + z + 14*z**3 - z - 7*z - 95 + 100. Let q(i) = 2*h(i) + 10*x(i). What is the second derivative of q(d) wrt d?\nAnswer: 108*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*r = -40, -2*r = -5*w - 0*r + 32. Suppose -x + 5*x + w = -5*d, 4*x - d = 16. Suppose -v = x*v - 948. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 7:46 PM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 357 divide 16712955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rrxrzrirrriirr.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3230954*l**5 - 10*l - 3165306 wrt l.\nAnswer: 64619080*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - (-8)\/(-6))\/((-12)\/27828). Let z = -3861\/5 + b. Find d such that 0*d - z*d**3 + 6\/5*d**4 + 0 - 2\/5*d**5 + 0*d**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.00348 + 168.3.\nAnswer: 168.29652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -459, -1726, -4109, -7608, -12223, -17954?\n\"Answer: -558*i**2 + 407*i - 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.81068713 to 3 dps.\nAnswer: 13.811","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -24205?\nAnswer: -24206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*d - 577 = -2*d, 2*d - 390 = -2*x. Suppose 0 = 3*s - 2*j - x, -5*j = -8*s + 5*s + 190. List the prime factors of s.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*o = 143*o - 90 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -90 - 37 - 2*k**2 + 154 - 32 + 5*k. Let j = 5 - 3. Let p(x) = -x + 1. Give j*p(n) + a(n).\nAnswer: -2*n**2 + 3*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8240142*-4\nAnswer: 32960568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.26 * -6.\nAnswer: 19.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -257 + 257.00221. Round t to 4 decimal places.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**2 + 2*f + 2. Let j be r(-2). Suppose -5*m + j = -35. Suppose 0 = -3*q + m + 24. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**3\/7 + 260*l**2\/7 - 4994*l\/7 + 26136\/7 = 0.\nAnswer: 11, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 166, 241, 446, 847, 1510, 2501, 3886, 5731?\nAnswer: 8102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -194 - -242. Let s = 49.030018 + -1.030548. Let z = s - j. What is z rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -b**6\/280 - b**5\/140 + 9*b**4\/56 + 9*b**3\/14 + 727*b**2. Let w(t) = 0. Calculate t.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 0, -12, -4, -80.\nAnswer: -80, -12, -4, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4 + 3 + sqrt(19)*-3*-3.\nAnswer: 6 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -4. Suppose -d = 4 - c, 3*a - 4 = -4*d. Solve -a*o + 4 = -3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a. Let q(g) = -66*g**2 - 2*g + 2. Let z(s) = -q(s) - 3*x(s). Let u = -2 - -1. Does 12 divide z(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 164 or 822\/5?\nAnswer: 822\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((312\/(-6552))\/((-1)\/39))\/((-2)\/14).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 + -35. Let q = y - 23. Does 3 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 1, -44, -15, -5, -4 in descending order.\nAnswer: 1, -4, -5, -11, -15, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 + 4*q - 6. Let j be l(-10). Let a(f) = -28*f. Let b(r) = -r. Let x(o) = j*b(o) - 6*a(o). Let n(s) = 3*s**2. Calculate n(x(u)).\nAnswer: 588*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 729.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*l**3*z**2 + 7*l**3 + 949*l**2 - l*z**2 - 33*z**2 - 16*z with respect to z.\nAnswer: -16*l**3*z - 2*l*z - 66*z - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -l**9\/36288 + l**7\/3024 - 13*l**5\/60 - 17*l**2. Let h(r) be the third derivative of s(r). Determine t so that h(t) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-13 - (-13 - -7)) + 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 24, 1, 14, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 6:02 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 356308388 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5)\/(q**(2\/3)*q))\/((q\/(q\/q**(-1\/2))*q)\/q)**(1\/25) assuming q is positive.\nAnswer: q**(-997\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 3 - 5*z + z + 3*z. Let f be o(0). Suppose -f*r + 5 - 17 = 0, x - 5*r - 30 = 0. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 25*u**3\/9 - 65*u**2\/3 + 25*u\/3 + 3. What is b in d(b) = 0?\nAnswer: 1\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (27\/2)\/((-12)\/16). Calculate the common denominator of 49\/16 and (i\/(-60))\/(90\/(-2675)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m - 2 + 57 = 0. What is the third derivative of -m + 6 + 15*y**2 - 11*y**6 - 1 wrt y?\nAnswer: -1320*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 6 = a. Suppose n = -5*c + 46, -3*c - n = -7*c + 44. Suppose s + c = 12. Solve s*w = -a*w - 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-4) + (-15)\/10. Is -46*(1 - 9) + 3 + c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -15*s**4 + s**3\/6 + 4*s**2. Is i(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 105*o**5 - 95*o**4 - 1270*o**3 + 2820*o**2 - 1400*o - 160 = 0.\nAnswer: -4, -2\/21, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 4*s - 2*s)*(3*s + 0*s - s) + (-3 - 1 + 3)*(s**2 + 3*s - 3*s) + s**2 - 3*s**2 + s**2 + 48 - 5*s**2 - 48.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96749729 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -193213.\nAnswer: -193216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -518*i + 181*i - 526*i + 25*i.\nAnswer: -838*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*v**3 - 165*v + 64\/3*v**2 + 0.\nAnswer: -v*(v - 55)*(v - 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7014*r + 119*r**2 + 376*r**2 - 504*r**2 + 4680.\nAnswer: -3*(r - 780)*(3*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126066470 divided by 5.\nAnswer: -25213294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 5*m**2 - 2*m - 3*m**3 - 17 + 2*m**3 + 21 + 2*m**3. Let j(a) = a**3 + 9*a**2 + 8*a - 5. Calculate the remainder when j(-6) is divided by s(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 76 * 5.2.\nAnswer: 395.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -198*w**3 + 2*w**2 - 7*w - 8. What is the tens digit of s(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 489265950 to the nearest one hundred thousand.\nAnswer: 489300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (99 - 97) + (8 + -2 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1144 divided by -8.\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*s**2 + 4755*s = 0. What is s?\nAnswer: -951, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 70284777 - 9.83.\nAnswer: 70284767.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 3891 divide 2668136520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q**2 - 33*q - 70. Let b be l(-8). Solve -3*j + 15 = b*t, 0*j = j - 5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - (-8)\/52) + 41\/(-13). Suppose 0 = -4*x - 1 - 35. Let u = x - -4. Sort 0, u, d in descending order.\nAnswer: 0, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36011773717*n - 36011773717*n - 49*n**2.\nAnswer: -49*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*u - 64. Let t(g) = 4*g + 67. Let v be t(u). Solve 5*j + v*i + 28 = 0, -2*j - 10 = -j + 5*i for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 7:01 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57210 = -4*l + 2*o, -3*l + 56*o + 42920 = 52*o. What is l rounded to the nearest 100?\nAnswer: 14300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7449000 rounded to the nearest one hundred thousand?\nAnswer: 7400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**2 + 73*i - 34. Let g be z(36). Solve -g*w - 9 = 7*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**4 + 2*t**4 + 2*t**4 + (-t**4 - 2*t**4 + 4*t**4)*(4 - 1 - 2) + (-2 + 1694*t**3 + 160*t**4 - 1694*t**3 + t)*(-1 + 0 + 0).\nAnswer: -157*t**4 - t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -1. Suppose g - 3*q = -14, -2*g + 7 = 3*q - 10. Let w = -17 + 18. What is the nearest to w in c, g, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*f + 4*f + 6 = 31*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -313 + 20?\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 435761588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 16*f**2 - 19*f + 34. Let r(p) = 2*p - 86. Let o be r(35). What is the tens digit of m(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2984 is divided by 897.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10366944 by -112.\nAnswer: 92562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1623262159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from omovvsmvvoo. Give prob of picking 1 s and 3 o.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*5*sqrt(200)*-2)\/((sqrt(640) - (sqrt(640) + -1*sqrt(640) - sqrt(640))) + sqrt(10) - -2*sqrt(160)).\nAnswer: -16*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 4:40 PM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*d - w, 115*d + 5*w - 3 = 119*d. What is the third smallest value in -0.2, d, -80?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 173*w**2 - 4864*w - 21519. Determine p(32).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 r when three letters picked without replacement from {r: 4, h: 2, e: 5}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 2 - -2) + (-7 - 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 194 + -108. Let m = 17 - z. Let d = m - -838. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 14003896?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 - -40. Let v = 233.1 + -232.9. Which is the smallest value? (a) x (b) v (c) 0.4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 2*a - 2517, 0 = 524*a - 520*a + 8. What is the thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -86*d - 14. Let q(b) = 28*b + 5. What is -4*m(o) - 11*q(o)?\nAnswer: 36*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -197 in 0.5, 3, 16?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 9:42 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by 330\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 59 or 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/7 and -20\/483.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -800 - -1574. Let v = 1485 - a. What are the prime factors of v?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 188418781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 + 4. Suppose -4*u = -7*u + 4*k + d, -30 = -2*u + 3*k. Solve -5*q = -0*q + u for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8938.05357 + 2.04643. Round w to the nearest 100.\nAnswer: 8900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001264 rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**3\/2 - 7*z**2\/2 - 5*z\/2 + 75\/2 = 0. Calculate z.\nAnswer: -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 98869793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = c - 444. Suppose v - 95 = -2*j, 13 = -3*j + v + c. What is the remainder when j is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3619 and 53956.\nAnswer: 593516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 93 and 620?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*z = -13. Let d = 16 + z. Calculate the highest common divisor of 15 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05805 to 3 dps.\nAnswer: -0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 99887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85504, -85514, -85536, -85576, -85640, -85734, -85864?\nAnswer: -86036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -b - 2*k, 0 = 12*b - 9*b + 5*k - 35. Let u = -1 - -1. Let p be 11\/30 - (-1)\/(-5). Put u, p, b in descending order.\nAnswer: b, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2. Let n(t) = 2763*t + 5. Let z(q) = 403407*q + 729. Let b(s) = 1458*n(s) - 10*z(s). Give p(b(m)).\nAnswer: 31539456*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 3*x + 2*x + 2, 5*g - 3*x = 26. Suppose 0 = g*k - 12, 2*q + k - 3*k = 20. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -5, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 0, 1\/6, 3, 2.2 in decreasing order.\nAnswer: 3, 2.2, 1\/6, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2304 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: List the prime factors of 127674445.\nAnswer: 5, 73, 349793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 341*w + 16. Let o be d(7). Let f be (-2391)\/o - (-1 + 0). Let l = 52057\/1602 + f. Find the common denominator of l and -73\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 460.46242 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -84 + 96. Suppose -f*h = -13*h + 4. Solve h*a - 5 = -9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170937365.\nAnswer: 5, 34187473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/24)\/(((-918)\/120)\/17).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m + 12. Let p be w(-9). Suppose -y = z + 25, 15 = 8*z - p*z. Let u = 21 - y. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3904*n + 2003*n + 1957*n = -3584 for n.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) 0.5 (c) -2\/5 (d) -12\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -7*h + 89. Let y = 5 - 8. Let w(a) = a**2 + 5. Let g(j) = 1. Calculate h*g(l) + y*w(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88 and 264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/(4*(-2)\/12). Let r = -7 + j. What is the second derivative of -9*s - 13*s + 12*s - r*s**4 wrt s?\nAnswer: -168*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/448 and -113\/844224.\nAnswer: 5909568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122 = -4*c + 37858*g - 37863*g, 0*c - 2*c + 4*g + 61 + 47 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(228) - -1*(sqrt(228) - -4*sqrt(228)))\/(sqrt(432) + sqrt(432)*1)*5.\nAnswer: -25*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (73\/(-20))\/(19 - (-1860)\/(-100)) and -9\/230.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 379 is divided by 146?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -41976 divided by 3816\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*g + 247 + 138. What is the remainder when 117 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/(2*sqrt(2)) - sqrt(38))\/(-4*sqrt(2)*-1).\nAnswer: -sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 72*t**2 - 69*t - 279. Determine j(73).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a centimeter in micrometers?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 11*i - 6. Let y be z(-11). Let l = -7 - -12. Let f = l + y. Put f, 4, 1 in increasing order.\nAnswer: f, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) -2 (c) -0.04 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3940 not equal to 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9515.576 millilitres?\nAnswer: 9.515576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 - 2.062.\nAnswer: -1.972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/1364 and -25\/484.\nAnswer: 15004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 263, 6\/7, 0.3, 0, -0.5, -275?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h**3 - 63*h**2 + 203*h + 69. Determine k(17).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 3332*l - 43633. Calculate x(-13).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 divided by 13?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-583)\/(-4028) + 2\/19.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-74)\/(-148)*(-20)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 + 0.4. Suppose 4*r + 0*r = -32. Let v = -6 - r. Which is the closest to 0? (a) v (b) 0.4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eje when three letters picked without replacement from {j: 12, e: 7}.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (672\/(-28))\/((-18)\/30). Solve -44*v - 4 = q for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 5*b**3 - 3*b**2 - 11*b + 11. List the prime factors of j(4).\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 505\/135 + 2624\/(-432) + 6. Let 1\/3*p**2 - d*p + 6 = 0. What is p?\nAnswer: 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -719\/2684 - -21\/244. Put b, 0.056, -7 in descending order.\nAnswer: 0.056, b, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppoo. Give prob of sequence ppoo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1356552)\/(-498)*1\/(2\/4)?\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0491*-0.06\nAnswer: -0.002946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a millennium in months?\nAnswer: 57000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/23)*((z**(-5\/2)\/z)\/z)\/z*z)\/((z*z**(-6)*z)\/(z*z\/z**3*z*z)))**24 assuming z is positive.\nAnswer: z**(228\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p**(-4)*p))\/p*p)\/p**1)**(-9)*(p**5\/(((p*(p**5*p)\/p)\/p)\/p))**(-50) assuming p is positive.\nAnswer: p**(-77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -2891, -5208, -7525, -9842, -12159, -14476?\nAnswer: -16793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 59*a**3 + 25*a**2 - 142*a - 35. What is the units digit of i(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eev when three letters picked without replacement from vvvvevvevv?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 42 = 7*v. Let q = v + -17. Solve -q*t = t - 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 826310677708 and -0.4.\nAnswer: 826310677707.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1232 (base 4) to base 3.\nAnswer: 11002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4 = 2*s - 5, 3*u = -s + 17. Solve 0 = u*d - 6 - 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and 97393.\nAnswer: 97393.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10638 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + (41 + -19 + -23 - 10).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16124 + -16127. Let y(g) = -27*g**2 - 2*g - 5. Let m(r) = -27*r**2 - 2*r - 6. What is i*m(l) + 4*y(l)?\nAnswer: -27*l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 28142 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.32 plus -0.07316?\nAnswer: 3.24684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3397 times 12.2?\nAnswer: -41443.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 605178 is divided by 707?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s - 1. Suppose -2*o + 14 = -4*v, 3*v + 3 + 5 = 4*o. Is g(v) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((t*t\/(t*t*t**(2\/11)*t*t)*t*t)\/t)\/t)**(-4\/3))**37)**(-3) assuming t is positive.\nAnswer: t**(-3552\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 254, -4, -0.366 in increasing order.\nAnswer: -4, -0.366, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w - 9. Determine n(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000056 rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, c: 1, f: 6}. Give prob of sequence lfl.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/420 and -59\/100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*z, 0*z = -3*b + 2*z + 4181. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.141 * 0.79\nAnswer: -0.11139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -11*g - 5 + 7*g - 2. Let u be p(-2). Differentiate -1 - 3 + 7*v - u with respect to v.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.45958 rounded to 2 dps?\nAnswer: -3.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {k: 9, i: 5}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -23*i - 4. What is the tens digit of k(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**3 - j**3 - j**3 + (-1 - 3 + 7)*(-7*j**3 - 3*j**3 + 4*j**3) + (5*j**2 - 3*j**2 + 0*j**2)*(j + 0*j - 2*j) + j**3 + 2*j**3 - 4*j**3.\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 - 3*n - 41. Let x be k(-4). What is the nearest to 5 in 2, -0.3, -6\/5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.3 from 63.2719903.\nAnswer: 65.5719903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 - -1 - (69 + -77 + 3) - 12?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**5 - 80*v**4 + 485*v**3 - 1390*v**2 + 1900*v - 1000.\nAnswer: 5*(v - 5)**2*(v - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 4*s**2 - 4*s. Let y be l(-3). Suppose 44 = o - 5*z, -5*o - 5*z + 28 = -y*o. What is the remainder when o is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 times 0.07\nAnswer: -1.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.1 - -10.07. Let o = -1.37 + p. Let u = 3 - 3.06. Which is the third biggest value? (a) u (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 12:09 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28873429, -57746859, -86620289, -115493719, -144367149, -173240579?\nAnswer: -202114009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*s - 164 = 0, -4*v + 3*v + 2*s + 54 = 0. Suppose -4*p = -3*k - k + v, 5*k - 65 = 4*p. Calculate the greatest common factor of k and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 437, 72, -287, -646, -1011, -1388, -1783?\n\"Answer: -q**3 + 9*q**2 - 385*q + 814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176016 is divided by 53.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.38 - 184.18. Let k = 196 + j. What is k rounded to 0 decimal places?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 - 21. Suppose -2*w = w - t. Calculate the smallest common multiple of (-40)\/w*-3*1 and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4 and 11\/47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -121*l**3 - 10*l**2 + 17*l + 104. Calculate the least common multiple of 95 and j(-3).\nAnswer: 3230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2 - 4 - 2*j.\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 78*n**3 - 3*n - 3. Let o(m) = -155*m**3 + 5*m + 5. Determine 5*f(v) + 3*o(v).\nAnswer: -75*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**3 - 30*t**2 + 110*t - 755. What is the ten thousands digit of d(25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 366 and 15?\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1253031 - 0.067?\nAnswer: -3.1923031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6416 + 0.62. Let c = -4.0216 - m. Which is smaller: c or -0.16?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 + 36. Solve -8 - z = 3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -319 + 397. Calculate the highest common divisor of 195 and q.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1, -395\/17 in descending order.\nAnswer: 1, -0.2, -395\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471 is divided by (-34 - (-54)\/(-9))*48\/(-20)?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 1:20 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttktttttttttt. What is prob of picking 2 t and 1 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 12) in base 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -9*b**3 - 8*b**2 - 3*b - 3. Let y be m(-4). Let c = -455 + y. Solve v + c*v = -9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 84*f - 16. Let u be q(3). Suppose 0 = k + 5*b - 112, -3*k = -3*b + b - 353. Suppose -u = -l + k. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -944 divided by -37514?\nAnswer: 472\/18757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3899 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -3623600?\nAnswer: 3623563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72) + 1 - (-1 + sqrt(242))**2.\nAnswer: -242 + 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 - -46. What is the third derivative of 3*g + 88*g**5 - 5*g**l - 7*g + g wrt g?\nAnswer: 5280*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -57*c + 9921. Let w be k(174). Suppose -25\/2*f**2 - 8*f - 3\/4*f**w + 0 = 0. What is f?\nAnswer: -16, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105017*s - 168 = -105027*s + 4*x, -4*x = 128 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -7*a - 39. What is w(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4 + 5 + 96858*l.\nAnswer: 96858*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3815455 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10543 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*t - 524*t + 45 - 45 - 182*t.\nAnswer: -760*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4355 - 4355.5. Let j(y) = -y + 1. Let n be j(0). Put n, k, 5 in decreasing order.\nAnswer: 5, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 - s + 1. Let p = -2 + 3. Let k be r(p). Let c be (-8)\/6*(-9)\/6. Solve c + k = -t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 698.1485 millennia in months?\nAnswer: 8377782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -85 + 396. Let h = 312 - d. Which is the second smallest value? (a) 3.4 (b) h (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1106340526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 2:52 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -178 - -196. What is the smallest common multiple of 22 and l?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58806 (base 12) to base 9\nAnswer: -200686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(-3)\/(-6) - -3. Suppose -18 = -5*s - 3*z, 2 - 3 = s - p*z. What is the greatest common factor of s and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**0)**(-1\/4)*(f*(f*f**(-1))\/f)\/(f*(f**(-5\/6)*f*f)\/f)*(f**(-6)*(f*f**(-1)*f*f)\/f)**(-21) assuming f is positive.\nAnswer: f**(1243\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rnbnftb. Give prob of sequence nbrb.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -872 + 449. Let t = f - -427. Calculate the highest common divisor of 10 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 - 3*q - 8. Determine o(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143677*q = -143366*q + 10574 for q.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1.5. Suppose -6 = -2*w - 2*w - 3*f, -7 = w + 5*f. Let z = -0.037 - -4.037. What is the biggest value in w, y, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 581714981 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*x = -9. Suppose x*g - 56 = 31. Solve 5*m - 3*t - g = t, -3*t + 17 = 4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -149*t**3 - t**2 + 4*t + 1. Suppose 9*x + 36 = -0*x. Is s(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 26*z**3 + 2*z**2 + 5*z - 3. Let d be n(2). Let a = d + -117. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 23*m + 29. What are the prime factors of r(19)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 3 + (0 - 3) + 161 + -164.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1836836 is divided by 161?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 198\/4 - 12\/24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/6)\/z**(1\/2))**(-47)\/(z*z**(-1)\/z*z*z**3\/z*(z\/(z*z\/(z**(-4)\/z)*z))\/((z**(-2\/5)\/z)\/z)) assuming z is positive.\nAnswer: z**(274\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 + 16730*r + 133968.\nAnswer: -2*(r - 8373)*(r + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -553034400 (base 6) to base 4\nAnswer: -211323121200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 q when three letters picked without replacement from {q: 9, r: 7}?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) -56 (c) 5 (d) -2\/12539 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 8 = -3*f. Suppose 3*p - f*p = 20. Sort p, 15, -1.\nAnswer: p, -1, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 9, v: 2}. What is prob of sequence mv?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5 = 3, -4*y = -4*r - 56. Let x = 92\/5 - y. Which is the closest to x? (a) -3 (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/3 (b) -193.2 (c) -1.5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*b + 4*b + 21. Let m(d) be the first derivative of -3\/2*d**2 + b - 3*d - 1\/3*d**3. Determine m(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11461\/(-876) + (-104)\/(-24)*3.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (15\/(-2))\/(5\/(-20)*3). Let g be h\/(-4)*(-144)\/(-90). Does 14 divide -1*(-136)\/(g - -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 1. Suppose q + 1 = 0, -5*c + 3*q = 6*q - 72. Let s = c - 10. Solve 2*u - 9 = s*t, 4*t - o = 3*u - 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h. Let t(i) = 6*i - 5. Let x(k) be the second derivative of -7\/6*k**3 + 4*k + 3*k**2 + 0. Let y(m) = -6*t(m) - 5*x(m). Give y(u(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11115 and 2064920?\nAnswer: 18584280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*w = -3 + 8, -3*p - 6 = -3*w. Let j = -13582 - -1235959\/91. Which is smaller: j or p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3677, 3678, 3677, 3674, 3669, 3662?\n\"Answer: -c**2 + 4*c + 3674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2491462?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.4 - -4.4. Let x(n) = n**2 + n + 1. Let o be x(-2). Which is the closest to r? (a) o (b) 1\/2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/30 + (-2 - 1008\/(-3))*(-91)\/910.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - b**2 - 3*b + 1. Let w(r) = r**2 - 2*r + 3. Let d be w(0). Let j be p(d). Suppose -5*m - 110 = -j*m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 64 + 20 = 0. Let k(t) = -t**2 + 17*t - 29. Let i be k(15). What is the highest common factor of r and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4879?\nAnswer: 7, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 69, 98, 127, 156, 185, 214?\n\"Answer: 29*o + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -466336*z**3 - 179338*z.\nAnswer: -2798016*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*r = -25*r + 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7683 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*z - 2 + 2)*(-3*z + z + 4*z)*(573*z + 397*z - 1273*z) in the form k + r*z**2 + q*z**3 + t*z and give q.\nAnswer: -1818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -339, -475, -403, -123, 365, 1061?\n\"Answer: 104*l**2 - 448*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 9 = -4*s, -4*s + 2*r + 2*r - 4 = 0. Solve 18*a + a**4 - 12*a**3 + a**2 - 2*a**2 - 2*a**2 - s*a**4 = 0.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s - 5. Let l be r(8). Suppose v = l*v - 8. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 - 3.7. Let o = -11 - x. Let m = 8.5 + o. What is the second smallest value in -0.3, -0.2, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 226*q**2 + 445*q - 2. What is v(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1683873?\nAnswer: 3, 223, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -14 + 18 + -14?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 3*x + 5, -3*x + 85 = 3*r + 2*r. Let y be (-6)\/(-24) + (-958)\/(-8). What is the greatest common factor of y and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45 - -74. Let j = m - 24. Factor -6\/5*r**4 + 0 - 6\/5*r**3 - 2\/5*r**j + 0*r - 2\/5*r**2.\nAnswer: -2*r**2*(r + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.8 - 0.3. Let o be (-112)\/(-98) + (-72)\/14. Which is the third smallest value? (a) u (b) o (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 13*n**2 + 43*n + 35. Calculate g(-9).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 5. Solve -11 = o*p - 3*i, -3*p - 2*i = -6*p - 14 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 15. Suppose 58 = 4*i - 10. Suppose -3*s + h = -s + i, -4*s + 3*h = 29. Let x be r(s). Solve -2*b + 4*l = -0*l - 4, 0 = -5*b - 4*l - x for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a - 5*k = -138, -20 = -5*a + 2*k + 24 + 49 for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 6 = 4*y. Suppose -5*z + 3*i - 2 = -3, -4*z = -4*i + y. Let x be (-2)\/(0 - 2\/5). Put x, z, -5 in decreasing order.\nAnswer: x, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 50*x**2 - 103*x - 46. Let r be b(52). Solve 2*g = -3*m, -46*m - r = -43*m for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/13076801?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3329 in -117\/29, 2\/7, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 rounded to the nearest ten?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 73? (a) -0.07 (b) -2\/11 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 10*z**2 - 10*z - 5. Let c(s) = s**2 - s - 1. Calculate 6*c(i) - h(i).\nAnswer: -4*i**2 + 4*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -2.5. Let i = -15 - -17. What is the third smallest value in d, i, 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -496 + -1814. Let a = w - -2117.2. What is a rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 960.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (75 + -14)*4 - 4. What is the greatest common factor of 900 and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**2\/5 - 17912634*b - 401078071022445 = 0?\nAnswer: -44781585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of b**4\/12 - b**3\/6 - b**2\/2 - 29*b. Let q be d(3). Suppose 2*h + 4*z = 4*h - 2530, 3*z + 6311 = q*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-319)\/99 - 2\/(-9) - -113. Let j be u\/(-4)*(1 - 3). Let w = -43 + j. What is the least common multiple of w and 27?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3837206464 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 374918646?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19169, -19107, -19023, -18917, -18789, -18639, -18467?\nAnswer: -18273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-2 + (3 - (0 - -4))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0738 - 3305.99.\nAnswer: -3306.0638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a microgram in nanograms?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-68)\/6*(-1656)\/9384?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*t = -23*t - 156*t - 2304 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 135 + -135.61. Round a to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/12*(-16)\/(-2). Let o = -3.464 + 3.064. Which is the third smallest value? (a) h (b) -1 (c) o (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 650 and 56316?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + z = -0*s - 834, -s = -z - 166. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 5*q**2 + q + 7. Let h be i(-5). Suppose 605 = 5*u - 3*x, 2*u + h*u - x - 491 = 0. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -54.2669 and -4.\nAnswer: 217.0676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 29. Suppose 0*c + 22 = d - 5*c, 2*d - 3*c - q = 0. Let t(v) = v. Let k be t(d). Which is smaller: k or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -2*x - 6, -3*x = 3*d + 19 - 10 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**1*i)\/i)**(2\/93)*(i\/(i\/((i*(i**(2\/23)*i)\/i)\/i)))\/(i\/i**(1\/5)*i))\/((i*i**(3\/5))\/(i*i**(-2\/9))*(i**(2\/7))**39) assuming i is positive.\nAnswer: i**(-3067208\/224595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 16926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 7*v**2 + 9*v + 7. Let y = -18 - -31. Let r = y + -21. Let f be k(r). Which is the nearest to 0.1? (a) -3 (b) f (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.1 (b) 1 (c) -89 (d) -0.02 (e) 91 (f) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 2 - 1)*(31300 + 27511 - 71530)*(0*y + 4*y - 3*y) as l*y + c and give l.\nAnswer: -50876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 34*f**2 + 82*f - 222. Give s(36).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23229, 92322, 207477, 368694?\nAnswer: 575973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 1:26 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 33. What is the highest common divisor of b and 216?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, 78683, 4 in ascending order.\nAnswer: -43, 4, 78683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 417 - 7088\/17. Let b(t) be the second derivative of -1\/102*t**4 + 0 + 1\/51*t**3 - 1\/170*t**5 + 9*t + i*t**2. Factor b(m).\nAnswer: -2*(m - 1)*(m + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32689 and 8681457.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 2*f**2 - 4*f - 1. Let t be g(-3). Let s(n) = 3 + 1 - 3 + 2*n - 4*n + n**2. Determine s(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1149, 2223, 3295, 4365?\nAnswer: 5433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2*(-1*sqrt(80) + -3 + (-3*(0 + sqrt(80)) - sqrt(80)) - (-3 + -4 + 2*sqrt(80) + sqrt(80))*5)**2.\nAnswer: -10240*sqrt(5) + 66043","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -896, -6469, -21602, -51077, -99676?\n\"Answer: -797*k**3 + 2*k**2 - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 - g**2 + 68*g**3 + 712612 - 712612.\nAnswer: 68*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2102, -2339, -2822, -3623, -4814, -6467, -8654, -11447?\nAnswer: -14918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-618 + -3)*(-9 - -10) + -3. Let u = -112 - j. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120) - (sqrt(120) - (-2*sqrt(120) + sqrt(120))*-1))\/sqrt(2))\/(sqrt(768) - sqrt(768)*-1*-4).\nAnswer: -sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 5*h + 20, y - 32*h - 238 = 5*y - 12*h - 206 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -25488, -50972, -76454, -101934, -127412, -152888?\n\"Answer: i**2 - 25487*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -13*n**2 - 770*n - 150. Calculate the remainder when 845 is divided by u(-59).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2965793 or 63?\nAnswer: 2965793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3115 is divided by 344.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -198, 5, -1, 7.\nAnswer: -198, -1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -553046.3 to the nearest ten thousand.\nAnswer: -550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 426 divided by -6\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f - 6. Let m be v(-9). Let h = 17.54 + 0.46. Let j = 18.5 - h. Which is the third smallest value? (a) j (b) -1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1570163042?\nAnswer: 2, 7, 112154503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/7 (b) -2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-3*sqrt(78) + sqrt(78)))\/sqrt(6).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 171.1533cm in meters?\nAnswer: 1.711533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4980*h**2 - 7*h - 2487*h**2 + 29*h - 2490*h**2.\nAnswer: 3*h**2 + 22*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 7*b - 15. Let z(x) = 2*x**3 - 8*x**2 + 3*x + 2. Is z(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*w - 2*m, -2*w + 10*m - 5*m = 48 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-85)\/(-15) + -3*3 + -89 + 93.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, -7178616, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kry when three letters picked without replacement from ycpkyyqkprcprpkry?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*j + 13578 - 199. Round j to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 18, -3 in decreasing order.\nAnswer: 18, 5, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 551317, 551307, 551295, 551281?\n\"Answer: -j**2 - 7*j + 551325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 195895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20.2 + -21. Let t = 0.2 - o. Let w = -0.008 + 0.048. Sort t, w, -2 in decreasing order.\nAnswer: t, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 60 + 24. Suppose -4*q - s = 5*w, -4*w - 2*q = 2*q + 20. Let b be 0\/(-1*w\/(-1)). Solve 2*j = -8, 2*h + b*h + 6 = j for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 7:19 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -7*h**2 + 6*h + 10. Let g be 2\/6 - (-2397)\/423. Let q(a) = 15*a**2 - 13*a - 21. What is g*q(n) + 13*z(n)?\nAnswer: -n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1078 is divided by 165?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 406895.2 tonnes in kilograms?\nAnswer: 406895200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (1*-4)\/4 + 66 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 362*f**2 - 5066*f - 41. What is l(14)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**3 + 23*c**2 + 15*c - 12. Let y be z(11). Suppose -5*q - 2*i - y = -7*q, -3*i + 6 = 0. Does 8 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*c**2*g**2*p + 17*c**2*g - c**2*p + 103*c**2 - g*p wrt g.\nAnswer: -36*c**2*g*p + 17*c**2 - p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (-1105)\/(-4) - (-681)\/(-2724). Calculate the highest common divisor of n and 325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1327052?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 10*q**2 - q + 14. Let b be v(10). Let o be ((-6)\/b)\/(18\/(-24)). Find the second derivative of -4*i**o + 2*i + 4*i**2 - 5*i**4 wrt i.\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/2 - v**3\/4 - 5*v**2\/4 - v\/2.\nAnswer: v*(v - 2)*(v + 1)*(2*v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qr when two letters picked without replacement from ororrqrooro.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**3 + 4*m**3 + 12*m + m**3.\nAnswer: 2*m**3 + 12*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 6) in base 7?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -7*n - 6. What is b(-7)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 421891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -495 - -500. Which is the third biggest value? (a) 21\/23 (b) 4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((o**3 - 5*o**3 + 2*o**3)*(-2 + 2 + o) + 4*o**4 - 6*o**4 + 5*o**4)*(-o + 3*o - 4*o).\nAnswer: -2*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d = -31*d + 74 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**5 - 6*y**4 + 84*y**3 - 138*y**2 + 63*y = 0. What is y?\nAnswer: -7, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -2277?\nAnswer: -2272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 6) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1*(0 + 10)\/2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/(-27))\/(25\/90)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 408185344 to the power of 1\/3, to the nearest integer?\nAnswer: 742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 4*b - 18 = 0. Calculate the greatest common factor of 18 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 6*m**2 + 6*m + 15. What is k(-6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 510295404 divided by -86286.\nAnswer: -5914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 873649 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.8 - -3.8. Let z(n) = -8*n + 113. Let r be z(14). Which is the closest to r? (a) 0.4 (b) m (c) 3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -574, -869, -1338, -1981, -2798, -3789, -4954?\nAnswer: -6293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**3 - 7*c**2 + 19*c - 1. Calculate h(2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26265451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3395*a - 2047190. Give w(603).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5*r - 0*r - 6280, -q + 2*r + 1573 = 0. Let f = q + -45368\/29. Let s = f - -2\/145. Which is smaller: 14 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -99, -2\/7, 1 in descending order.\nAnswer: 1, -2\/7, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -h + 5, 5*h + 3*j - 39 = -2. Let k be (-56)\/190 - h\/(-20). Are 0 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(640) + sqrt(640) + -1*sqrt(640) + sqrt(640) - sqrt(640)) + sqrt(640) + sqrt(640))*3)\/((sqrt(288)\/sqrt(6)*-4)\/sqrt(6))*-4)**2 + -3.\nAnswer: 6477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -77 + -1a1?\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 43192\nAnswer: -172768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 280 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(32\/(-4)*15\/20)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - j - 1. Let w be 656\/(-208) - 4\/(-26). Let n be (-30 - -37) + (1 - -1)*-3. Let f(m) = -m**2 - 5*m - 4. What is n*f(d) + w*g(d)?\nAnswer: 2*d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 1309.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 1:21 PM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*r = 99 - 537, -2*i = 2*r - 440. What is the greatest common divisor of 6 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 + -30. Suppose 12*h - d*h = 1260. Calculate the highest common divisor of h and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e3 + -3a?\nAnswer: -11d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + -1)*-2 - -1. Suppose 2 = 2*s + 4. Let u = 0 + s. Which is greater: y or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 1. Let s(u) = 3*u - 15. Let d be s(8). Suppose -5*z - d = -19. Solve 7*k + 13 = 3*v + z*k, -t*v + 4*k + 11 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -4*f**3\/3 - 2*f**2 + 7*f - 13. Let q(m) = 3*m**2 + 3*m - 6. Give -4*d(k) - 5*q(k).\nAnswer: k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.392 + 0.892. What is the closest to -39 in j, 1\/8, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = -2*l + 18. What is the third biggest value in -2, -5, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mvmvmvvmpvvmmmm. What is prob of picking 2 m?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69496 is divided by 808.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3793 + 7595 + 510*t - 3803.\nAnswer: 510*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15736, -15453, -14946, -14215, -13260?\nAnswer: -12081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 369 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 7:36 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 3 - 5*m + 29 - 11.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s + 13. List the prime factors of z(6).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -205, -394, -577, -754, -925, -1090?\nAnswer: -1249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bvbvzvbuvvbbubvbvxu. Give prob of picking 2 b and 2 u.\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*u**2 + 837*u**3 - 3345*u**3 + 840*u**3 + 837*u**3 + 828*u**3.\nAnswer: -3*u**3 - 100*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13*3\/195*35.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 26.43 and -0.1.\nAnswer: -2.643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 233441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 464455491\/(-99055740) - (-4)\/14. Let r = -202\/12413 - l. Let k = r + -33\/19. Find the common denominator of k and -93\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/22)\/(-3))\/(38\/(-1672)*24)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.635964 millilitres in litres?\nAnswer: 0.000635964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*d - 68*d - 292 = 0. What is the remainder when 78 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2. Let l(a) = 72*a**2 + 8. Let i(r) = -53*r**2 - 6. Let d(g) = 9*i(g) + 7*l(g). Calculate s(d(y)).\nAnswer: -729*y**4 - 108*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 3*s = 15 - 4, -476*w - 2*s = -477*w - 7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26974070?\nAnswer: 2, 5, 17, 101, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -c**4\/42 - 8*c**3\/21 - 16*c**2\/7 + 24*c. Factor b(k).\nAnswer: -2*(k + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8866743 and 68.\nAnswer: 602938524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, c: 3, t: 1, d: 2}. What is prob of picking 1 t, 2 c, and 1 n?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + q - 7, 12*k = q - 3413 + 3448 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -9*b**2 - 199*b + 2689. What is t(17)?\nAnswer: -3295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 8*r + 10. Let q be n(7). Let t(m) = -105*m**2 - 3*m + 0*m + 100*m**2 + 2*m**q - 1. Is t(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 44 = 5*n, 3*f + 32*n = 36*n - 33. Let g(p) = 14 + 40 - 14*p + 14. Is g(f) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2250)\/(-2205) + 7\/(-343). Let w(l) = 8*l - 9. Let u(g) = -15*g + 17. Let j(n) = -6*u(n) - 11*w(n). Let h(z) = -z + 1. Determine o*h(y) + j(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -159199892 and -0.0970605.\nAnswer: -159199892.0970605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 175 + -176. Is n <= 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 31*g + 7764 = -29*g, -3*w + 2*g + 23268 = 0. Suppose b = -5*b + w. Is 17 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**5\/5 - 4*v**4 - 48*v**3 + 352*v**2 + 928*v\/5 - 1344 = 0 for v.\nAnswer: -10, -2, 2, 6, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(931) + sqrt(931)*3)**2 + -3.\nAnswer: 14897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 668, 4913, 16336, 38531, 75092?\n\"Answer: 599*z**3 - 5*z**2 + 67*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddbyydddydb. Give prob of sequence dd.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 5:20 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2528, -5055, -7588, -10127, -12672, -15223, -17780?\n\"Answer: -3*p**2 - 2518*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*(sqrt(102)*-1 - sqrt(102)) + sqrt(102) - -1*-1*sqrt(102))\/(-4*sqrt(6)*2 - sqrt(6) - 1*sqrt(600)).\nAnswer: -1 - 4*sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1931 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64050829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 2) + -17 + 228 + -168 + -3.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 189 and -63022?\nAnswer: 63211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*(1848\/30)\/7. Let g(s) = -3 + 43*s**2 - v*s**2 + 1 + 2. Let h(c) = c - 52. Determine h(g(i)).\nAnswer: -i**2 - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17395915 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 times -741?\nAnswer: 26676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l - 1. Let v = 187 - 190. Let b(k) be the first derivative of 3*k**2 + 13*k - 2. Let r be b(v). Give z(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 8 = -4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21152 and 98489?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**2 + 283 + 1122774*n - 1122774*n + (-2 + 2 - n)*(-n + 4 - 4) + 2*n**2 + n**2 - 2*n**2 + n**2 + 0*n + 0*n to the form f*n**2 + l*n + t and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/23 - 5397028*r\/23 + 3640988904098\/23.\nAnswer: 2*(r - 1349257)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14921 - 1335. What are the prime factors of h?\nAnswer: 2, 6793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -5 - -13 - 5 - 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 - 96*m**2 + 468*m + 1352.\nAnswer: 4*(m - 13)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2923.0035588 - -2923. Round b to 4 decimal places.\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**6\/120 + 3*s**5\/20 - s**4\/2 - s**3 + 6*s**2. Is 2 a factor of m(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*b = -4, q + 5*b - 2 - 5 = 0. Suppose 4*s + 8 = 0, -7*s = -q*p - 6*s + 44. Let v = p - -4. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 678 + 192 = 0. Calculate the lowest common multiple of 10 and y.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 53*w - 32*w - 5*q + 51, -3*w = 4*q + 17 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k**3 + 5*k**3 + 2*k**3 + (3*k - 4*k + 0*k)*(0*k**2 + k**2 - 2*k**2) - 2*k**3 + 0 + 0 - 4*k**3 + 2 + k**2 - 2.\nAnswer: -3*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-378)\/(-8400) - (-1)\/(-8). Which is the fourth smallest value? (a) -2 (b) 5 (c) i (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -415819\/30 + 13864. Find the common denominator of 79\/18 and t.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/2)\/(-20 - -18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6\/25 of a microsecond?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -631, -2536, -5715, -10174, -15919, -22956, -31291?\nAnswer: -40930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -13*k**2 - 3*k - 6*k**3 + k**3 + 5*k + 7*k**3 - 13. Does 10 divide y(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48.6 - 72.6. Sort t, 1\/3, 6\/5, 1.\nAnswer: t, 1\/3, 1, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*j - k + 1 = 0, 37500*j - 3*k = 37501*j - 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n - 3. Let d = -13 - -7. What is the units digit of y(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 75 - 110. Let d = n - -25. Calculate the remainder when 19 is divided by (-141)\/(-15) + (-6)\/d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m - 4. Let y be g(-3). Let k = 130 - 130. Which is the third smallest value? (a) -0.1 (b) y (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 11) in base 5?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u + 22*u + 1686 = b, -2*b + u + 3379 = 0. Calculate the smallest common multiple of b and 20.\nAnswer: 3380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 17, -416, 104 in ascending order.\nAnswer: -416, -2, 17, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10934860 divided by -2\nAnswer: -5467430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 20, -5, 2\/5, 858, 5, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 23\/21261?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 32\/9 (b) -0.34 (c) 2 (d) -1 (e) 0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 665, 2653, 6009, 10769, 16969?\nAnswer: 24645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3533015 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12896 - 12894. Let 1\/5*a**3 - 2\/5*a + 0 + 1\/5*a**o = 0. Calculate a.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -583, -588, -605, -640, -699, -788, -913?\n\"Answer: -q**3 + 2*q - 584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2675313 at most -2675306?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (-5)\/5 - (-50)\/(-75)*27?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -9. Suppose 39 = 4*u - 45. Suppose -l*m = -1 + u. Let c(d) = -d - 4. Give c(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 9 (c) 3\/8 (d) -4 (e) -7.7 (f) -14 (g) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/6 and -111\/1498.\nAnswer: 4494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.50372 grams in milligrams?\nAnswer: 1503.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 9*j**2\/2 + 2. Let t(l) = 17*l**2 - 55*l**2 + 39*l**2. What is t(s(g))?\nAnswer: 81*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60251 (base 9) to base 14.\nAnswer: 105ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.3, -8.3, 0.4, -7.1, 357.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -62*l**5 + 9*l**4 + l**2 + 3*l - 1416 wrt l.\nAnswer: -3720*l**2 + 216*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 - 39305\/(-420) - 15\/(-2)*2\/(-12).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/5 - 802*r**2 + 4011*r\/5.\nAnswer: -r*(r - 1)*(r + 4011)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 3. Suppose 6 = 2*q - a. Let y be (q\/(-1))\/(3\/2). Which is greater: -3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.9 + 5.1. Let j = q + -4. Let x = j + -1.975. What is x rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 108, 3, -4 in increasing order.\nAnswer: -4, 2, 3, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 - -0.3. Let r be 6\/(0 + 3\/(-2)). Let x be (-29)\/(-102) - r\/(-24). What is the nearest to 0 in x, c, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -30 (b) 5\/47 (c) -1.46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/3)*n*n*n)\/n)\/n*n*n\/((n**(2\/13)\/n)\/n)*(n*n**0*n)**41*(((n\/((n**(3\/5)\/n)\/n))\/n)\/n**(-5\/3))\/(n**6\/n**5) assuming n is positive.\nAnswer: n**(5736\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 8 - 8 = 0. Suppose 4*d + 4*a = -a - 30, -3*d + 30 = -5*a. Solve -4*u - i + 24 = d for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*v**2 - 11*v + 5*v**3 - 89*v**2 + 190*v**2 - 15*v**2.\nAnswer: 5*v**3 - 11*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**3 + 1 - 1 + (-2*a**2 + 3*a**2 - 3*a**2)*(-a - a + 0*a).\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 2)*(4*b**3 + 7075*b**5 - 2*b**3 - 7250*b**5).\nAnswer: -525*b**5 + 6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-12)\/(-297) + 80\/440\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 8:47 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 25*k + 191 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 702, 1402, 2102?\nAnswer: 2802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194 = -2*o + 308. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2787872433.\nAnswer: 3, 929290811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4)*-2)\/((-6)\/180*(-108)\/8).\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.199 times -0.5754\nAnswer: 0.1145046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 2:32 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21546 by -18.\nAnswer: -1197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 + 5*t**3 + 2*t**3)*(205 + 145 - 37 + 127).\nAnswer: 2640*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -80*f + 24. Does 43 divide n(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/5 - 6176*f\/5 - 4767872\/5.\nAnswer: -2*(f + 1544)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p - 5. Let r = -12 - -7. Let x(l) = 2*l - 3. Let s(d) = r*x(d) + 3*y(d). Let b(m) = -2*m. What is s(b(v))?\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - -1 - 1 - (4 - (8 + -5) - -46)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6263 is divided by 76?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(539)*-1 + -5*(sqrt(11) + sqrt(44)))**2 + (-3*sqrt(1100) - sqrt(396)*-3).\nAnswer: -12*sqrt(11) + 5323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (40\/15600*26)\/(1*(-4)\/3)\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 - 35. Suppose -4*s - t = 5*s. Let d(z) = -52*z + 2. What are the prime factors of d(s)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 932955828?\nAnswer: 2, 3, 7, 47, 383, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0647288343 and -1.139.\nAnswer: -1.0742711657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2901.\nAnswer: 3, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -123 - -124.03. Let n = -0.626 + d. Round n to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26568, -53144, -79720?\nAnswer: -106296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of 9*t**3 + 28*t**2 + 0*t**4 + 0*t - 19\/20*t**5 - 2. Find the first derivative of y(k) wrt k.\nAnswer: -114*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence knnk when four letters picked without replacement from ncnmkk?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-255)\/960*8*-2?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00316728447 to six dps.\nAnswer: -0.003167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyyggyggyyyyyyy. What is prob of sequence yy?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 3*c = 18. What are the prime factors of 2\/c + (-32)\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**11*d*d**(2\/3)\/d assuming d is positive.\nAnswer: d**(38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 34348360 - -14?\nAnswer: 34348374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*u**5 + 8167*u**4 + 236*u - 8.\nAnswer: -40*u**3 + 98004*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1360 divided by 5\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/4, 3, -1\/2, 11, 5\/47?\nAnswer: 5\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2200 + 100223210?\nAnswer: 100232010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 12 = 0, 4*v - v + w - 2 = 0. Suppose -g = -v, -5*o = 4*g - 53 + 5. Let y(q) = q**2 + 2*q - 3. Calculate the remainder when o is divided by y(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15645 divided by -48.\nAnswer: -5215\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 4*d**3 - 3 - 5 - 2*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -11. Solve -q**5 - 8*q + 4*q**3 + 5*q**5 + 12*q**c - 12*q**2 - 3*q**3 + 3*q**3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4da73c (base 14) to base 5.\nAnswer: -1141221240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12698 is divided by 1575.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 439.223 weeks in seconds?\nAnswer: 265642070.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 60490705 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 5*s - 405. Let i = 275922 + -275787. What is the greatest common divisor of s and i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from modoomoonmooomoommdm. What is prob of sequence mdnm?\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2075, -8878, -20411, -36674?\n\"Answer: -2365*g**2 + 292*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1528*k**2*w**4 + 74398*k**2 - k*w**3 - 293*w**4 + 126*w**2 wrt w?\nAnswer: 36672*k**2*w - 6*k - 7032*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (10 - (15 - 16)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 1\/17 (c) 1\/7 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/11, 111.8, 11 in decreasing order.\nAnswer: 111.8, 11, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -1\/39680 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-244)\/(-8) + 3)\/((-2)\/(-4)). Let b = 163 + j. Calculate the remainder when b is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38140*r**2 + 2*r - 38472.\nAnswer: 76280*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19254467 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4083239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29 - 236*m**4 + 37 + 10 + 10 + 55 with respect to m.\nAnswer: -944*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-663)\/(-2002) - 30\/(-35).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128317 is divided by 1311.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**2. Let x(m) be the first derivative of -5 - 1\/2*m**2 + 0*m. What is j(x(q))?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tfttf. Give prob of picking 2 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1271463496 to the nearest integer?\nAnswer: 1083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/6)\/((-1)\/(-21)). Calculate the greatest common factor of j and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*d**3 + d**2 + d**2 - 113*d**3 + 0*d**2.\nAnswer: 3*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/2750 and -85\/4.\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1584 and 66.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -o + 0*o + 2*o + (o - 2 + 2)*(2 - 3 - 1) - 16*o + 32 - 32 + (-2 + 2 + 1)*(2*o + 4 - 4) - 2*o + 3*o + 2*o in the form f + r*o and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n - n**4 + n + 2 - 552*n**2 + 553*n**2 to c*n**4 + a + d*n + l*n**2 + m*n**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 913 - 1849 - 8022*i + 936 in the form q*i + d and give q.\nAnswer: -8022","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320 is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of s**5\/30 + s**4\/8 - 2*s**3\/3 + 5*s**2. Let d be ((-6)\/(-8))\/(1\/(-4)). What is the units digit of u(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -2*t - 4492 - 15893, 3*t = 0. Let s = 7448 - j. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 1\/4*w**4 + 0 + 2*w + 0*w**2 + 0*w**3. Let x(g) be the third derivative of g**5\/60 + 84*g**2. Calculate x(m(v)).\nAnswer: 9*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 84625*c**4*g + 35*c**2 + 1075*g wrt c.\nAnswer: 2031000*c*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 9:20 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r**4 + 2868*r**3 - 26556*r**2 + 11132*r + 12564 = 0 for r.\nAnswer: -1\/2, 1, 9, 349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 503, 1609, 4609, 10451, 20083?\nAnswer: 34453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 638 is divided by 64?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -341 + 32191?\nAnswer: 31850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25674486.\nAnswer: 2, 3, 23, 8089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, u: 1, m: 1, a: 2}. Give prob of picking 2 a and 1 m.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 - 10548*d**2 - 63092*d + 1686720.\nAnswer: -(d - 10)*(d + 16)*(d + 10542)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*n**4 - 606*n**2 - 140*n - 971*n**2 + 437*n**2 - 491*n**3 - 546*n**3 - 1328*n**3 = 0.\nAnswer: -7, -2\/7, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1509, 1504, 1499?\n\"Answer: -5*r + 1514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*p - 6 - 4. What is the units digit of (-4392)\/(-15) + (-3)\/15*p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3035*x - 652*x - 2464 + 1636*x - 3006*x with respect to x.\nAnswer: -5057","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 + 86 = -12*f. Let d be (-18)\/40*(-20)\/f. What is the second smallest value in d, -33, -2\/13?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 539.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3210 and 7276.\nAnswer: 109140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + (sqrt(91)*-2 + sqrt(91))*3)\/sqrt(7) + 2*(sqrt(13)*-1 + sqrt(13))*3.\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x + x + x + (-2 + 1 - 3)*(3*x - 4*x + 0*x).\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + -0.3. Let g = -0.8 + w. Let o = 7 + -6.9. Which is bigger: o or g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8252 - -5?\nAnswer: -8247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3224*a**2 + 32189*a + 521. Calculate q(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -32034.1691 to the nearest one thousand.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 6 - 5 - -7. Suppose -236 + y = -15*u. Solve 5*z + u = 2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a kilogram in grams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + (-65)\/6*2. Let u = 67\/3 + d. What is the nearest to -0.1 in -0.3, 0.3, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 416*x - 1056*x + 326*x + 513*x as v + g*x and give g.\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53458 - -53457.949062. Let c = u - -0.051. What is c rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(96)\/sqrt(4) - sqrt(24))\/sqrt(2))\/sqrt(6) + -4 + sqrt(24)\/(sqrt(12)*1)).\nAnswer: -12 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 0.2, 47, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -8*n - 7*x - 43, 4*n - 36*x + 40 = -41*x for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -17.6. Let n = -3 - -4. Put t, 0.3, n, 5 in decreasing order.\nAnswer: 5, n, t, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ej when two letters picked without replacement from {j: 2, c: 1, u: 2, e: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*a + 1 = 0, a + 7 = 5*i - 4. Solve -3 = x - i*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = s + 2*u + 12, -3*s = 2*u - 23. Suppose c + x + 22 = 0, x - 40 - 100 = s*c. Is -27 not equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62 - 54. Calculate the greatest common divisor of 112 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -29*t. Let f be 6\/(-24)*6*(-8)\/6. Let s(y) = y - y + f*y - 4*y. What is s(n(d))?\nAnswer: 58*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15175 - 15178. Which is the fourth biggest value? (a) 2 (b) t (c) 0 (d) -2\/9 (e) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 110?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 6 - 3*l**3 + (798*l - 798*l - 27*l**2)*(0*l + l - 2*l).\nAnswer: 24*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3067 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.21 or -130?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1110\/2849)\/(20\/(-56))?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 1706289?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7513, 14071, 19669, 24301, 27961?\n\"Answer: -n**3 - 474*n**2 + 7987*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/(-33) + 2 + (-12)\/(-1584)*8?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**3 + 16*g**2 - 13*g + 47. Let w be i(-9). Let d = -9 - -12. What is the third biggest value in d, -0.4, w, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3735427, -14941733, -33618917, -59766985, -93385943, -134475797, -183036553, -239068217?\n\"Answer: -w**3 - 3735433*w**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1006.74 + -1016. Let s = -0.26 - r. Let j = -8.2 + s. Sort j, 2, 0.1.\nAnswer: 0.1, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9005 (base 12) in base 3?\nAnswer: 210100012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 3*o + b, -51*b + 20 = o - 46*b for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.24, 4, 200 in decreasing order.\nAnswer: 200, 4, -2.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2590*j. Let y(z) = -2*z. Give u(y(h)).\nAnswer: -5180*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 16191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 265876000 rounded to the nearest one million?\nAnswer: 266000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*c = 115477 + 66068. Is 51 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 8*y + 22. Let j be s(-8). Suppose j*c + 38 = 24*c. Calculate the highest common divisor of 38 and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*l + 4, -l + 14 = 18*d - 21*d. Suppose -3*o - 3145 = 33*p - 35*p, l*p + o = 3149. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b + 7*b - 8*b - b**2 - 9*b**2.\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -9) + -8 + 9\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51575 (base 9) to base 3.\nAnswer: 1201122112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - -2)\/((-3)\/15). Let p be (-2)\/(-10) + (-420)\/(-25). Solve -p = b*n - 2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -159.\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -22, -48, -66, -82, -102, -132?\n\"Answer: -i**3 + 10*i**2 - 49*i + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 + -38. Let z = 243.4 - 243.2. What is the closest to z in 11, w, -3\/8?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -698913\/311785 + 285\/127. Which is greater: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-6)*0)\/2. What is the second derivative of -2*o**3 + 2*o**3 + 3*o**3 + k*o + 4*o wrt o?\nAnswer: 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1683, 6555, 14675, 26043, 40659, 58523?\nAnswer: 79635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3001264 divided by -2032\nAnswer: 1477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10243 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {n: 2, i: 3, d: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l*l**(-4\/7)*l)*l)*((l\/((l*((l\/l**5)\/l)\/l)\/l))\/l)\/l)\/(l**(-1))**(-40) assuming l is positive.\nAnswer: l**(-242\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**6*f)**(30\/13)*(f**(-1\/4))**(14\/9) assuming f is positive.\nAnswer: f**(4229\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 172065+-1.279\nAnswer: 172063.721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-45) - 4701\/(-22248). Let l = a + 9221\/89816. Let j = l + 305\/2616. Find the common denominator of j and 67\/28.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 1 + 0)*(-3 + 3 + a) + 6*a + 3*a - 8*a + 1 to u*a + l and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s - 1. Let j(a) = -a**2 + 5*a - 6. Let h(x) = 5*f(x) - j(x). Let v be h(1). Suppose 3*l - 2 = -8, 0 = -v*n - 2*l - 4. Solve 6*w - 3*w = n for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 389371781, 389371780, 389371779?\nAnswer: 389371778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 4 - (-7 + 4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-9)\/(-24))\/((-3)\/(-2)))\/(-1). What is the biggest value in -5, t, 5, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -123 (b) -44648 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2*v - 105. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1980150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -2) + 3 + -22.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*r + 3 = 0, 5*d + 17*r - 12*r = -15. Suppose 2 + 2 = 2*u. Suppose -4*l = 4*y - 4, -4*y - 10 = -l - u*l. Sort l, 1, d, -2 in descending order.\nAnswer: l, 1, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5730.\nAnswer: 2, 3, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2402*p**2 + 683585 - 683585 as c*p + o*p**2 + w and give o.\nAnswer: 2402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 7*q**2 + 8*q + 2. Let w be j(8). Let b(c) = 220*c + 12. Let f be b(w). Let i = -264 + f. What are the prime factors of i?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h\/((h**(-3\/2)\/h)\/h)))\/h)\/h*h**(-3))\/(h**(2\/3)\/(h*h*h*h*h*h**(-1)*h)) assuming h is positive.\nAnswer: h**(-31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*o - 66*o = 65*o - 204*o + 2*g + 22, 9*o - 3*g - 63 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 701694989 to the power of 1\/2, to the nearest integer?\nAnswer: 26490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2220 (base 4) to base 5.\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/3 - -2)*(40 + -43). Find the third derivative of -30*f**2 - 5*f + 35*f**2 + f**3 + 40*f**3 + f**b wrt f.\nAnswer: 24*f + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/144 and -23\/48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(1573) + sqrt(1573) + 4*sqrt(1573) + 3)*-4 - (-5 + -4*2*sqrt(1573))*6)**2.\nAnswer: 7920*sqrt(13) + 906273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 98, 89, 66, 23, -46, -147, -286?\nAnswer: -469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b + 1 + 6 + 3*b**2 - 5 as v*b + o*b**2 + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 68741773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -b**4\/8 - b**3 - 3*b**2 + 4*b - 17. Let j(o) be the second derivative of i(o). Determine j(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009800002 to 6 decimal places.\nAnswer: 0.00098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aacaeatutcaaaa. What is prob of picking 1 a and 2 c?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -32 in -1\/2, 5, 0.5, 0.07?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 71924958 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - f - 1 = 12, 2*x - 3*f = -1. Sort -3, 0.067, x in increasing order.\nAnswer: x, -3, 0.067","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6856409*f**3*p**3 - 5*f**3 - 289742*f**2*p**3 + 7*f*p**3 - 6*p**3 wrt f?\nAnswer: -41138454*p**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 260885 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 13*j**2 - 3*j + 13. Let s = 13 - 0. Let l be p(s). Let i be l\/(-7) + (-2)\/(-7). Solve 0 = 2*b + i*r - 10, 5*b + r + 0 + 11 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 476 - 598?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((l + 27*l + 2*l)*(-1 + 1 + 2) + (5 - 3 + 0)*(-l - 5*l + 4*l) + 2*l - 2*l - 2*l - 4*l + 3*l + 0*l)*(17*l**2 - 10*l**2 + 23*l**2).\nAnswer: 1590*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 710\/(-6) + (-270)\/405. Which is the third biggest value? (a) -4 (b) 1\/4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 61320 and 1981950.\nAnswer: 55494600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7036415, -7036416, -7036417?\n\"Answer: -r - 7036414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4940, 5479, 6040, 6635, 7276, 7975?\n\"Answer: 2*p**3 - p**2 + 528*p + 4411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, d: 1, s: 1, f: 4}. What is prob of picking 1 q and 1 f?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/(-6)*240\/(-25) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*z**2 + 351 - 9*z**2 - 351.\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 31326524 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3500a5 (base 13) to base 4\nAnswer: 10302311303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -3. Suppose 76 + 20 = 2*w. Suppose -3*s + w - 12 = o. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21164*x**3 + 10589*x**3 + 10584*x**3.\nAnswer: 9*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 - 14*p**2 - 82 + 82.\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -34. Suppose 8*w = f*w - 15. Let l be 10\/4*(-24)\/(-20). Sort l, w, -5 in decreasing order.\nAnswer: w, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17368 and 624?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21 - 46?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 8*w**2 - 13*w - 6. Let x be t(-9). Calculate the highest common factor of 75 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -19. Suppose q*x - t = 0, 4*x = 2*t - 5*t. Solve g - 2*v - 8 = 0, 3*g + 4*v = -x*v - 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 8:31 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dududddddbydd. What is prob of picking 3 y?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jf when two letters picked without replacement from {d: 5, o: 1, j: 5, f: 1}?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 251237760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2ca (base 13) in base 14?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 10:42 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36852, 36864, 36878, 36894?\nAnswer: 36912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39250101.\nAnswer: 3, 11, 108127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 5*q**2 - 3*q**2)*(-16 - 2 - 2 + 6*q).\nAnswer: 18*q**3 - 60*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5 - (-235)\/10)*(-208)\/(-6).\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 13, 38, 97, 202, 365?\nAnswer: 598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -194, -433, -768?\nAnswer: -1199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11332 (base 6) to base 8.\nAnswer: -3150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -13*d**2 - 4*d - 4. Let o(h) = -612*h**2 - 187*h - 187. Determine -4*o(m) + 187*v(m).\nAnswer: 17*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 213 and 369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 5) + (6 - 3) - 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 + -0.2. Let o be (3\/3)\/1*-2. Let u be -1 + o + (-32)\/(-4). Which is the second smallest value? (a) 0.3 (b) w (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 15 = -4*s + s, -5*x = s + 75. Let u be 5\/(x\/(-3))*0. Suppose u*p - 4 = -p, 4*q + 20 = 5*p. Solve q = -0*f + 3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 122724, 245446, 368172, 490902?\nAnswer: 613636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.032, 3\/7, 4?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -2*z + 28928, 176*z - 172*z - 57821 = -c. Is 34 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.34598 rounded to zero dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 3:55 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 124137 and 4173.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of 5\/2*i**3 - 5\/48*i**4 + 0 + 1\/120*i**5 - 9*i - 1\/3600*i**6 + 0*i**2. Let x(w) be the second derivative of o(w). Factor x(t).\nAnswer: -(t - 5)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1067)\/(-165) + (-1)\/(-5))*6. Suppose -4*z = -9*z + x. Let n = z + 145. List the prime factors of n.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2536*w - 43. Is k(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(7\/5)*j*(j*j**11)\/j assuming j is positive.\nAnswer: j**(67\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - 21. Let r(l) = 3*l - 7. Let j(m) = -m**2 + m + 7. Let h be j(0). Let c(x) = -2*x + 4. Give h*c(s) + i*r(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2. Let d(j) = -j + 7. Let k be d(7). Let s(n) be the second derivative of k + n - 1\/2*n**3 + 0*n**2. Determine y(s(u)).\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(12) - sqrt(36)\/sqrt(3))*2)\/(3*sqrt(96)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 20338*h - 295. Is r(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2039*s. Let y be f(15). Suppose -2*c = c - 5*p - y, -5*c - 3*p = -50975. Suppose 0 = -7*k + 2*k + c. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 17962637 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -576916 by 15182.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 - 17*j**2 + 88*j - 144.\nAnswer: (j - 9)*(j - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.534458km?\nAnswer: 534.458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 - 17. Sort r, 1, 2 in descending order.\nAnswer: r, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83 - 72 + 109)*(-f - 3 - 2 + 3*f)*(-f**2 - 3*f**2 + 3*f**2 + 2*f**2 + 2*f**2 + f**2 - 2*f**2 - 2*f**2 + 5*f**2 + (-f + 0 + 0)*(-4*f - 2*f + 4*f)).\nAnswer: -644*f**3 + 1610*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 57*g**2 + 20*g + 296. Is x(-59) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/(-25) + 124\/62?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, h: 15}. Give prob of picking 2 h and 1 g.\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*q - 17 = 0, 3*n - 2*q - 18 = -n. Let s be -1 - ((1 - 0) + -8). Let k = n - s. Is k at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -156*v - 51. Let u(x) = 78*x + 26. Let a(k) = 5*u(k) + 3*w(k). Suppose -5*n = m + 64, -505 + 337 = 12*n + 4*m. Is a(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + -1)\/((-2)\/(-5)). Let u(p) = -6*p**2 - 10*p + 8. Let q(i) = 7*i**2 + 11*i - 9. Let k(v) = g*q(v) - 6*u(v). Give k(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-9)*(0 + 9). Suppose h*d - 2 = 4. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9 - 8) + -1 + 5. Solve -f = -2*v - 15, 0 = -4*f + 3*f + u*v + 30 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54458 - 5714 = -989*v + 1325*v + 1695*v for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 11) to base 2\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 12 = -15*y + 17*y - 10*l + 9*l, -5*l + 55 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010000010010110 - -100?\nAnswer: -10010000010010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*(s*s*s\/(((s*s**(-1\/4))\/s)\/s))\/s)*s)\/((s*s*s**(-10))\/s)*s**(-1\/4)*s*s**(-8)*s assuming s is positive.\nAnswer: sqrt(s)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207541.\nAnswer: 207541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.6 less than -107.7639463615?\nAnswer: -116.3639463615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3738190 (base 11) in base 6?\nAnswer: -351125531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 36 = 4*n, 0 = 25*t - 20*t - 2*n - 24 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*m - 32080 = -1469*m for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/137 in -5, 4, 0.3, -13, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-5) - 8\/5. Let l be p\/(-2)*2 - 0. Let w be (-2 - 0)\/(-1) + 192\/(-112). Which is the nearest to 1\/2? (a) l (b) w (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*d = 20, -a - 4*a - d = -4. Suppose 3*r + 2*g - 103 = a, -r = 3*g + g - 31. What is the derivative of 18 - 56*b**4 + 30*b**4 + r*b**4 wrt b?\nAnswer: 36*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -7*q + 29. What are the prime factors of a(-14)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.36 * 4\nAnswer: -13.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3482 take away 0.0922?\nAnswer: 0.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {y: 7, w: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -13 - 2*j - 7 + 7. Let b be r(-13). Suppose 3*t = 2*q - b - 1, -3*q = 2*t - 8. Put -4, 1, q in decreasing order.\nAnswer: q, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2909, -2904, -2897, -2888, -2877?\nAnswer: -2864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, w: 1, i: 1, n: 9, u: 5}. Give prob of picking 1 n and 1 u.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 351160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183311 is divided by 314?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 522 and 44?\nAnswer: 11484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 + 16*o + 26. Let y be u(-6). Suppose -43 - 45 = -y*v. Calculate the remainder when v is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.32391 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 8 = -4*c. Solve 2*o = -c*q + 8, 5*o - 3*q - 2 = 5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 520068 and 120.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 121 and 37873.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14204833 + -2?\nAnswer: 14204831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 144, 17, -192, -477, -832, -1251?\n\"Answer: o**3 - 47*o**2 + 7*o + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57217 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1171765853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 1611, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3 + 2. Let w be -20*(1 - (2152 + f)). Round w to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 739267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x + 321 - 166 - 157 + x**3. Let t(j) = -167*j**3 - 66*j**2 + 2*j - 4. Let r(h) = 2*a(h) - t(h). Find the third derivative of r(c) wrt c.\nAnswer: 1014","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6302580666?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 329840 and 989520.\nAnswer: 989520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2119177268.\nAnswer: 2, 13, 199, 204791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 70, 76, 86, 100?\n\"Answer: 2*i**2 + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - sqrt(187)*1)*-5 + (sqrt(187) - sqrt(187)*-2*2))\/(sqrt(55)\/(sqrt(40)\/(sqrt(8)*-2))).\nAnswer: -5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**5 - 3*c**4 + 4*c**2 = 0 for c.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000001 + 10011?\nAnswer: 10010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2052138 and 30039?\nAnswer: 38990622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-14) + 76\/28. What is the second derivative of 5 - k*x + 4 - 4*x**2 - 9 wrt x?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -11*v**2. Let a(d) be the second derivative of -10*d**3\/3 + 25*d + 5. Calculate j(a(o)).\nAnswer: -4400*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((7 - 1) + -2 + (10 - 14))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**3\/2 - 423*u**2\/2 - 210*u = 0 for u.\nAnswer: -140, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-2 - -4) - (-7 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - a**2 + a + 1. Let c(w) = -2*w**2 + 21*w - 8. Let l be c(10). Determine z(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**3 + 4 - 3*f**3 + 0*f - 11*f + f**2 + 2*f as h*f**2 + p*f + w + b*f**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 233944 and 9256?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-10)*1)\/(1\/2)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0.04, -27.9, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwllllwllwwwwl. What is prob of picking 2 w?\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 109 in 70, 5, 868?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -289, -566, -843, -1120?\n\"Answer: -277*d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 67090464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*r + 12*r - r - 6*r.\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31413 or 50711?\nAnswer: 31413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 10*c**2 - 11*c - 10. Determine d(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*p = -20*p - 41*w + 5, -3*p - 2*w - 25 = 0 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.5, 2\/169 in descending order.\nAnswer: 0.4, 2\/169, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32781086, 32781085, 32781092, 32781113, 32781154, 32781221, 32781320, 32781457?\nAnswer: 32781638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 115\/6 - 162450\/12825?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = u + 22, 2*p + 9912 - 9888 = -3*u for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*n + 73401 = 334109. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2323\/51106)\/((-2)\/(-44)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150 + 142 = 4*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, 1\/853, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 26?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 4*k - 122, -2*k - 205 = -5*u - 7*k. Let b = 75 - u. Is 20 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122644983 to the power of 1\/2, to the nearest integer?\nAnswer: 11075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 657, 1344, 2051, 2772, 3501, 4232, 4959, 5676?\n\"Answer: -f**3 + 16*f**2 + 646*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 7*i**2 - 6*i - 6. Let o(l) = -20*l**2 + 17*l + 17. Let r(n) = 17*j(n) + 6*o(n). Let c(k) = 0*k**2 - 3*k**2 + k**2. What is r(c(a))?\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of 0*i**3 - 3\/20*i**5 - 1\/70*i**7 + 19\/6*i**4 + 0*i**6 + 15*i + i**2 + 0. What is the second derivative of w(k) wrt k?\nAnswer: -36*k**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 1394 = 2297. Calculate the greatest common divisor of 14 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000042539 to 7 decimal places.\nAnswer: -0.0000425","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 86?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1 (b) 0.07 (c) -5 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2)*(-5 + 5 - 4*o) - 9*o - 15 + 15 - 3*o + 4*o + 0*o to q*o + c and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17102*g**4*k**2 + 3*g**4 + 4*g*k - g - 547*k**2 + 18 wrt g?\nAnswer: -205224*g**2*k**2 + 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**3 - 4*n**2 - 4*n - 4. Let d(g) = -g - 1. Let w(j) = -j**2 - j - 3. Let z(f) = d(f) - w(f). Calculate the remainder when s(3) is divided by z(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13119.12l to millilitres.\nAnswer: 13119120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-2) - (-6 - (1118529\/18 - -2)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 3*o + 4 = -2*b, -3*o - 7*o + 8*o + 46 = -23*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, o: 3, h: 5}. Give prob of sequence hhs.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5*m - 1 - 7 = 0, -5*t + 10 = -5*m. Suppose p + 7 = 5*r, t*r - 11 = r - 3*p. What is the third derivative of -10*c - 6*c**r - 7*c**3 + 10*c wrt c?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 9. Let o(t) = 4*t**2 - 6*t. Does 18 divide o(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, 2\/293, -41\/3, -3?\nAnswer: 2\/293","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54307 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*c = 64, 2*i = 7*i - 2*c - 81. Is i a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1162353 (base 11) to base 13\nAnswer: 55b080","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*v**4 + 15*v - 7*v**4 - 3*v**4 wrt v.\nAnswer: -228*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5275181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3 + (2 - (2 + 6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38204?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299143 is divided by 332.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4018 times 4\nAnswer: 16072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 963 is divided by 206.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*s**2 + 2*s**2 - 3*s + 4*s**3 + 9*s + 12*s**2 as x + t*s + d*s**2 + p*s**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-240)\/(-6))\/160 + (-22)\/(-8). Let q(z) be the first derivative of -z**4\/2 + 5*z**2\/2 - 2*z + 2. Give q(h).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by 15825\nAnswer: 19\/15825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 801 - 2*t**3 - 801.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 955812292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3197 + 3202. Sort 11, 2\/9, -3\/4, o.\nAnswer: -3\/4, 2\/9, o, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4028 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 355516832*s**3 - 67456347*s**2 wrt s?\nAnswer: 2133100992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - 108?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1911988 - -1912032.99962. Let p = x + -45. What is p rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (202\/(-24) - -1) + 15*(-17)\/85 and 73\/1596.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -18*z - 18. Let q be o(9). Find the common denominator of 19\/18 and 1338\/q + (-2)\/3.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49 - -11) + (5 - (-20 - -20))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*w**2 + 14523*w**3 - 118 - 38868*w**3 + 14201*w**3 + 13800*w**3 wrt w?\nAnswer: 21936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/11, 2\/179, -4, -0.12, -1.2 in increasing order.\nAnswer: -4, -1.2, -4\/11, -0.12, 2\/179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 23302 (base 5) to base 10\nAnswer: 1702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -157*b**3 - b**2 - 17*b - 17. What is i(-1)?\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*u - 97*u = -36 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5934994, 23739932, 53414830, 94959688, 148374506?\nAnswer: 213659284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44*f**4 - 56*f.\nAnswer: 528*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/10 and 37\/25.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19802134?\nAnswer: 2, 11, 47, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 356 + 220*k - 114*k - 607*k wrt k?\nAnswer: -501","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2179542 = 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 57, 50, 41, 30?\n\"Answer: -p**2 - 4*p + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1008\/1080 + 3\/(-5). What is the second smallest value in 234, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13184953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = -2*u + 152. Suppose o + 3*a = 62, 3*a = 2*a + 2. What is the remainder when o is divided by u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of x**3\/6 + 2*x. Let u = 45 - 165. Let v = 118 + u. Determine r(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 503536?\nAnswer: -503535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/275*-22)\/(220\/50)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 6*q**3 + 2*q**2 - 20*q - 2. Let m(z) = z**3 + z**2 - z - 1. Determine -c(p) + 2*m(p).\nAnswer: -4*p**3 + 18*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 11:03 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/4 + 406*n + 57907.\nAnswer: (n + 158)*(n + 1466)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102313 - -13?\nAnswer: 102332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29600 divided by 592.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9319*u**4*x + 15*u**3*x**2 - u*x**2 - 9*u - 395*x**2 + 1 wrt u.\nAnswer: 111828*u**2*x + 90*u*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -425*t - 16. Let w(l) = -424*l - 13. Calculate -4*b(f) + 5*w(f).\nAnswer: -420*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2544 (base 7) to base 15\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 693 and 19278644.\nAnswer: 173507796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 207\/23*(-6)\/(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 31786.54cm?\nAnswer: 317865.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 12*s**2 - s - 2. Let w be m(-2). Suppose 28 = 2*c - w. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14402203021 - 100?\nAnswer: 14402202421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-27)\/(-6) - 1\/2) + 1. Suppose w*t - 1358 = 1487. Suppose 2*h + 3*m = t + 9, m = 4*h - 1156. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 2520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -201 + 191. Let c(y) = -y**3 - 11*y**2 - 14*y - 4. Calculate the remainder when 138 is divided by c(w).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 320 and 30464040.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*s = -80*s + 4*l + 17, l + 2 = 2*s. Let q = -107\/360 - -3\/40. Which is the nearest to s? (a) 0.4 (b) 1.5 (c) -4 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000056082137 rounded to 7 decimal places?\nAnswer: -0.0000561","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1845, 4, 0, -8, 75 in decreasing order.\nAnswer: 1845, 75, 4, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.811 - -0.059. Let m = -0.13 - g. What is the third biggest value in 0.3, m, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154026423 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 0, 0*s - 3*s = -5*f - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -58 + 4\/7*u**2 + 2\/21*u**3 - 24\/7*u. Determine l, given that h(l) = 0.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 3*m + 3*u + 102, 2*u = 0. Let b = 1 + m. Suppose -4*l + b = -3*c, 0 = -l - 4*l + 5*c + 50. Solve -20 = 3*n - l*y, 0*y = -2*y + 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -1) + (-2)\/(-2). Suppose -g + 840023 = -4*g - o, -3*g - 4*o - 840029 = 0. Let u be 6 + g - (c + -2). Round u to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -727 + 27518.7?\nAnswer: 26791.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8037, -29, -2\/7 in descending order.\nAnswer: -2\/7, -29, -8037","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1057*n - 18482 = 3715 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 8*x**2 - 20*x + 2. Let n be c(10). Solve 4*p - 3*f = -12, -n*p - 3*f = -4*f + 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 11*q + 56. Determine d(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126038 is divided by 1949.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 165 (base 9) to base 7.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/(-84))\/(21\/(252\/(-80))).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 4*c**2 + 7*c + 10. Give m(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 15\/19 (b) -4 (c) -112 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Put together 6 and -4.27.\nAnswer: 1.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 56728.013?\nAnswer: 170184.039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 + 0.5. Let l = y + 0.4. Let f = -0.6 + -4.4. What is the nearest to l in 5, 3, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w**2\/4 + 21*w\/4 + 19\/2 = 0. Calculate w.\nAnswer: -19, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 1027?\nAnswer: -1027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 5*q + q)*((q - 2 + 2 + (-1 + 3 - 4)*(0 + 0 + 2*q) - q + 0*q + 0*q - 3*q + q - 4*q)*(-2*q - 5 + 3 + 1) - q**2 - q + q).\nAnswer: 95*q**3 + 50*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27178*y**2 + 13589*y**2 + 13588*y**2 + 728*y - 1 + (y - 4 + 4)*(15 - 15 + 12*y) to the form l*y + x*y**2 + v and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 49*y**2 - 79*y - 30. Is a(46) a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*120.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31.9935 - -0.0065. Sort 0, r, 0.07.\nAnswer: 0, 0.07, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 390 = -3*z. Let b = 1089245\/9 - 120897. Let j = z - b. Sort j, 0.1, -2 in ascending order.\nAnswer: -2, j, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-0.05558\nAnswer: -0.005558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2006919343+0.5\nAnswer: -2006919342.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (15 + -5 - 14) - (4 - 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**2 - 1373*d + 11048 = 0.\nAnswer: -1381, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/22*(9 + (-1080)\/88 - 69\/(-253))?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -8*y. Let n(b) = b + 5. Let i(d) = d + 5. Let r(g) = 2*i(g) - 3*n(g). Let k be r(-7). Let z(j) = 8*j**k - 7*j**2 + 0*j**2. What is z(w(p))?\nAnswer: 64*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + ((-777)\/(-783) - 1). Let q = -793\/1305 - h. Let v be ((6\/9)\/(-2))\/(-1). Which is the smallest value? (a) v (b) q (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -177254, -178714, -180174?\nAnswer: -181634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 38876*p - 972000. Determine i(25).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10010203002 + -11?\nAnswer: -10010203013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 48270912 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/2*-4 - 13\/65*10. Let l(r) = 10*r + 5. Determine l(x).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 3*n + 246, -7 = -2*n - 3. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l. Let f(v) = v**2 + 9*v - 7. Let d be f(-10). Suppose d*q + 46 = 43. Determine h(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -156*b**4*g*w - 13*b**3*g*v*w**2 - 10*b**2*w**2 - 5*b*g*w**2 + g*v*w**2 + g*w wrt b?\nAnswer: -3744*b*g*w - 78*g*v*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*w - 4*w + 232 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*u - 37*u = -66. What is the lowest common multiple of u and 58?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2121 (base 3) to base 5.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhehknwrnnw. What is prob of picking 2 n, 1 r, and 1 e?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 39 = 2*o - 39, -74 = -2*o + 4*h. Let x = 65 - o. What is the highest common divisor of 140 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/2, -1, -0.06, 2, -2\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 311809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + sqrt(175) + 4) + (-2*sqrt(84))\/(-4*sqrt(12)).\nAnswer: -9*sqrt(7)\/2 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 859932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10995056?\nAnswer: 2, 17, 40423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express d - 2 + 8 - 6 as n*d + m and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + 3*w**2 - 4*w**2)*(2*w**2 - 4*w**2 + 4*w**2) + 3*w**4 - w**3 - w**4 - 6*w**4 + 5.\nAnswer: -8*w**4 - w**3 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -137 + 147. Let g be (2\/4)\/((-3)\/(-36)). Let d be (z\/g)\/((-8)\/(-24)). Solve 10 = b + b + d*o, -6 = -2*b - 3*o for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**(-13)\/(z\/(z*(z\/(z\/(z\/z**(2\/3))))\/z)*z\/(z*z**0)) assuming z is positive.\nAnswer: z**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t - 9. Let u be f(-7). Let r be 3\/(-12) - u\/4. Let o = -6.4 + 1.4. What is the smallest value in r, o, -2.1, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -60*r**3 - 2*r**2 + 9*r + 10. Let s be g(-1). Solve s*c - 73 + 250 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 9 - 39. Suppose -3*r + 3*o + 26 = -1, 0 = -5*o - z. Suppose 2*l = -k + r, -18 = -5*k + 2*l - 0*l. Solve k*c + 2 = -6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*y**2 + 92*y**2 - 198*y**2.\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(171) - -2*(-3 + sqrt(171)) - (sqrt(171)*-1 + 2)) + 5)**2*2.\nAnswer: -576*sqrt(19) + 21960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 314080? (a) -0.07 (b) -11\/6 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, l: 7, v: 2}. Give prob of sequence fv.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176914617 is divided by 2830.\nAnswer: 2827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 54*d**3 + 6*d**2 + 5. Let x(s) = -53*s**3 - 5*s**2 - 5. Give -5*h(b) - 6*x(b).\nAnswer: 48*b**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -271, -552, -827, -1096, -1359, -1616, -1867?\nAnswer: -2112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -3*l**4\/4 + 4*l**3\/3 - l**2\/2 - 2*l - 15. Give m(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 230*k - 6647. Give v(29).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i. Let o be g(-7). Suppose -2*f + 2 = -o. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -122739\/199 or -617?\nAnswer: -122739\/199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -750903*f**3*w**2 + 7*f**2*w + 7*f*w**2 + 4*f*w - 281*f + 16*w**2 wrt f?\nAnswer: -4505418*f*w**2 + 14*w","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5068614 or -5068613?\nAnswer: -5068613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5*a + 1. Let d be k(1). Let y be (-14)\/24 - (-2)\/d. Let v = 7\/23 - 137\/299. What is the nearest to -0.1 in y, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -193, -197, -211, -241, -293, -373, -487, -641?\n\"Answer: -m**3 + m**2 - 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-16))\/(((-13650)\/(-120))\/91).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -8. Let w be ((-2)\/1)\/(14 - 3 - -3). Which is greater: w or q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, v: 1, m: 1}. Give prob of picking 1 w and 1 v.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**2 - v**2 + 4*v**2)*(2 - 4 + 4) + (6 + 15*v - 6)*(-68 + v + 68) - 2*v**2 + 3*v**2 - 2*v**2.\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22886 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ed when two letters picked without replacement from dddddddddddddmde.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 7:14 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6097, 6019, 5889, 5713, 5497, 5247, 4969, 4669?\n\"Answer: m**3 - 32*m**2 + 11*m + 6117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 814 + -802. Let s be 368\/r - (-8)\/(-12). Solve 0 = -3*a + 9*a + s for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 756 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.5 - -8.2. What is the closest to -0.2 in 3\/2, -0.4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*k**2 - 12316*k - 12064 = 0.\nAnswer: -3016\/63, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 705.4014l?\nAnswer: 705401.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-4)\/q**(-2\/39)*q**(-12)*q**2 assuming q is positive.\nAnswer: q**(-544\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 17488383 - 489.1\nAnswer: 17487893.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2. Let h(f) = -3*f**2. Let q(b) = -7*b - 8*b**2 - 3*b - 3 + 4 + b**3. Let n be 2\/(4*3\/54). Let t be q(n). Determine t*m(s) + 5*h(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26843 greater than 32760?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 2:12 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/(-7))\/(10\/(-35)). Which is smaller: 6 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w**4 + 4 + 6*w**4 + 45*w - 76*w as y*w + s*w**2 + q*w**3 + i + z*w**4 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*g - 6. Suppose g = -l + 8. Let s = 2 + l. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-6 - (-9 + (-11 - -15))) + 39 + -5.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 2 - 0, -1277*f - 62 = -1282*f - 3*x for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a\/a**(-1)))*a)**(6\/13)*(a*a**(1\/7))\/(a\/(a**(1\/3)*a)) assuming a is positive.\nAnswer: a**(781\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3925.8 centimeters in micrometers?\nAnswer: 39258000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 2\/(-3) - (-238)\/42. Suppose p*v - 30 = 3*j, 2*v = -j - 0*j + 1. Which is the second smallest value? (a) 1 (b) -1 (c) j (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13342 + 134?\nAnswer: 13520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -18 + 9 + -5 - (-6 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12837, -12839, -12841, -12843, -12845, -12847?\n\"Answer: -2*y - 12835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - b - 7 - 24 = 0, 4*x = 3*b + 63. Let l = 25 - x. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, o: 2, b: 2}. Give prob of sequence blb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 13941.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/31 (b) -0.31 (c) 196 (d) 49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47164, 95310, 143494, 191710, 239952?\nAnswer: 288214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -298*r + 303. What is t(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -760, -761, -762, -763?\nAnswer: -764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ext when three letters picked without replacement from {t: 1, x: 2, e: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -104.28 - -104.48. Which is the biggest value? (a) 2 (b) p (c) 22.66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 + 4872*u**2 - 1483524*u.\nAnswer: -4*u*(u - 609)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-2\/23))\/(w*w**(-1\/28)))**(-47))**23 assuming w is positive.\nAnswer: w**(-3713\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28.2198747 - 26579472.9801253. Let w = g + 26579503.18999843. Let t = 1.99 - w. What is t rounded to seven dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -85 (b) -3\/2 (c) 6 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1597512 and 93.\nAnswer: -1597419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(5\/4))**50*y**(-15)\/y*y**(-2\/25) assuming y is positive.\nAnswer: y**(2321\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeececceee. What is prob of sequence ecec?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h + 97*h**3 - 3*h**2 + 3*h**2 - 1. Suppose 7*y - 2 = 5*y. Is x(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 10*z**2 + 16*z + 7. Let g be i(8). Suppose -2*a + g*a = -10, 4*t - 5*a - 18526 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -1\/3*j**3 + 0*j**2 - j**4 + 0*j - 2. Find the third derivative of u(i) wrt i.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26144 divided by -32?\nAnswer: -817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2828, 4891, 6944, 8981, 10996?\n\"Answer: -i**3 + i**2 + 2067*i + 761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 887220.4 nanograms to milligrams.\nAnswer: 0.8872204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 675 by 10.\nAnswer: 135\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 623054 is divided by 623052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15 and -0.05742303.\nAnswer: 0.86134545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -1979681*u - 9898413. What is a(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1295252*q**5 - 13*q**3 - 253452932*q wrt q.\nAnswer: 25905040*q**3 - 78*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57)\/(-11) - (-6)\/(-33) - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1659 by 2.\nAnswer: 1659\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 11*(-10)\/40 - -3\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 6 = 347*k - 350*k, 0 = d + 4*k - 8. Put 5, 3, 0.3, d, 3\/11 in increasing order.\nAnswer: d, 3\/11, 0.3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 - -49\/2. Is 2\/3 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 630874 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5744?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - 0 - (-205 - -226) - -3?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2365 at most as big as 2565?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 88*k + 5. Is p(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 2*s - 6, 5*y + 4*s = 4 + 2. Solve 0 = -4*n + g + 8, -3*g - y*g = -20 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -8*i + 2*i**2 + 4*i**2 + 10*i - 5*i**2 + i - 14. Give u(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (6 - 4) - (1 - 2). Solve 0 = p - f*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 w, and 1 n when four letters picked without replacement from wnlnwwwwwnlwwlwwnw?\nAnswer: 11\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 11:50 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3 = 1. Suppose 5*r - 5 = 4*q - 3*q, -5*r = -b*q + 10. Let t be ((2\/(-1))\/(-2))\/r. Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**3 + 9*u**2 - 15*u - 7. Let w be q(3). What is the greatest common divisor of w and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 7:45 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16200 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (120\/(-35) - 4\/7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -79772 by -49.\nAnswer: 1628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -274694 divided by 3191?\nAnswer: -274694\/3191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 624 - 3719\/6. What is the common denominator of c and -67\/22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309*q + 142*q = -501 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a microgram in nanograms?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 30 = 3*f. Let y(r) = -r**3 - 12*r**2 - 6*r - 13. Let u be y(-10). Let l = f - u. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04 + 0.06. Suppose 0 = 2*s - 0 - 10. Suppose -5*i - 25 = 0, s*i + 4 = -v - 24. Sort v, 0, f in descending order.\nAnswer: f, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(243) + 1 + sqrt(21)\/(sqrt(14)\/sqrt(2)) + 2 + (sqrt(3) - sqrt(12)\/(sqrt(16)\/sqrt(4)))*2)**2 + 0.\nAnswer: 60*sqrt(3) + 312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 154501 + -1524?\nAnswer: 152533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o**2. Let f(r) = 68111*r. What is y(f(c))?\nAnswer: -13917324963*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3830006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9708?\nAnswer: 2, 3, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 21 = -2*x - 2*r, 3*r = -5*x - 34. Let n be (-66)\/(-7) + (-3)\/7. Let h be 2 - 3 - n\/(-3). Put x, h, 4 in descending order.\nAnswer: 4, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 2\/21, 2, -0.4?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 1, 51674, 4 in decreasing order.\nAnswer: 51674, 10, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*u + 27*u - 30*u as g + h*u and give h.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19324101 to the power of 1\/2, to the nearest integer?\nAnswer: 4396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 54, 88, 126, 168, 214, 264?\nAnswer: 318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5177337?\nAnswer: 3, 11, 151, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by (3\/9)\/(-1 - (-964)\/960).\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8.4 - 34. Let y = c + 26. Is -1 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -31. Suppose 92 = -x + 99. What is the remainder when b is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x + 3*v + 21 - 17, v = -33*x - 103 + 37 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 56*a + 2*x - 8, -1535*a + 1535*a + 2*x = 8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 10 + 8. Calculate the highest common divisor of s and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 19 = -3*f, i = 21*f - 18*f + 11 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n - 5. Let h = -42 - -45. Let k(c) = -13*c**2 - 14 + h*c**3 + 3*c - 1 + 0 - 2*c**3. Let y be k(13). Let u(v) = 4*v + 24. What is y*q(t) + 5*u(t)?\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 849*h*o**2 - 573*h + 127*o**2 + 4*o - 199 with respect to o.\nAnswer: 1698*h*o + 254*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 407*h - 190*h - 151*h = -1386 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 4:47 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of z**5\/22 - z**4\/66 + z. Suppose b(d) = 0. Calculate d.\nAnswer: 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06745 rounded to 3 dps?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 79e9 (base 16) to base 4\nAnswer: 13213221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) -33496 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*u = -1505 + 449 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2816275*d**6 + 32*d**2 + 4*d - 29?\nAnswer: -337953000*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from trrarffarrrlraaarmar. Give prob of picking 1 r, 1 m, and 1 t.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 432 and 3224340?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 392 a factor of 474185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/9 and -35\/1998951.\nAnswer: 5996853","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.6 + 4.1. Which is the closest to -8\/17? (a) w (b) -4\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 716717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 3 = 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from {z: 2, a: 6}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -2)\/(85\/(-20) - -4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*k - 83 = 0, -4*m + 0*k = 4*k - 344. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 12*z**2 + 3*z + 64. Let u be c(11). Is 8 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-80)\/(-48))\/((-40)\/(-120)). Suppose 0 = -2*x + x. Solve -25 = d*f - x*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48.2 - -95.94. Let f = n + -48. Let o = 0.02 + f. Round o to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223383 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-1) + ((-111)\/21 - (21 + -27)). Suppose 2*u + 4 = 3*u, 2*y + 2*u - 22 = 0. What is the closest to -1 in -3, y, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 6 = 4*t, -3*i + 7*i - t - 9 = 0. Calculate the remainder when 8 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/18 - (-1100)\/1800. Which is the nearest to 3? (a) 2 (b) 29 (c) v (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -2) + 0 + 0 - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 239*i - 43167. Calculate the remainder when m(181) is divided by 114\/7 - 4\/14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 take away 146.3193576731?\nAnswer: -68.3193576731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r + r + r**4)*(-3 + 3 - 1) + 9*r**4 + 2*r**4 - 3*r**4 to the form l*r**4 + i + k*r + w*r**3 + o*r**2 and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1624799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95)*-1)\/sqrt(5) - sqrt(57)\/(sqrt(3) + sqrt(12)\/sqrt(4)))**2.\nAnswer: 171\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1449 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 49, 2, -0.15, 1, -0.27, -2\/7, 2\/57?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -791*k - 11. Let i be r(13). Let j = i + -506. Round j to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -42, 2\/107, -0.36?\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4*m + 3 - 107 = 0, -4*y + 5*m = -102. Suppose 8*b = y*b - 2560. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -86239\/5 + 17325. Let y = -77 + g. Sort -1\/6, y, -0.4.\nAnswer: -0.4, -1\/6, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343616 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 118812162?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5592 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1049 - -0.0049. Let p = 1 + -2. Which is the third smallest value? (a) 3\/5 (b) p (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10198 + 11129. What is the smallest common multiple of 133 and d?\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + v - 8 = 0. Let q(o) be the third derivative of -o**4\/24 + o**3\/3 + 23*o**2. Give q(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 2, -5.\nAnswer: -12, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 61 = 141. Let w be 2\/3 - v\/30. Suppose 4*f - 10 = 2*c - w, -c + 4*f = 10. Solve -u = 5*a + 1, 2 + 0 = -a - c*u for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 15 = -10. Suppose -k + 20 = -4*q, 2*k + 5*q + 24 = 3*k. Let l be ((-18)\/k)\/(15\/(-20)). Solve -2*d - 6 = 0, 0 = -2*y + x*y - d + l for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 2*c + 2*c**2 + 3*c)*(0*c - 3*c - 15*c).\nAnswer: -36*c**3 - 18*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -6*k + 10*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zgzgzzzgygygzyzzy. Give prob of sequence yyz.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102, 432, 982, 1752?\nAnswer: 2742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2 + 10*g - 14. Let c be s(-10). Let i = c + 29. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -18*a**2 - 6*a. Let r(t) = -18*t**2 - 7*t. Give -6*r(b) + 7*w(b).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/248216 and 82\/279243.\nAnswer: 2233944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4443 + -0.481. Let n = t + -37.6633. Round n to 0 decimal places.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**2 + 915150*h - 915145 = 0. What is h?\nAnswer: 1, 183029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*w**6 - 811*w**5 + 14297*w**2.\nAnswer: 360*w**3 - 48660*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*t - 157*t + 4810 = 0. Calculate the greatest common factor of t and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-74)\/(-112) + 4\/(-14). Let k = 18865 + -18865.5. What is the closest to 2 in i, 2, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11472158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 241? (a) 72 (b) -4 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57*x**2 + 17*x + 57*x**2 - 8*x**4 wrt x.\nAnswer: -96*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 568 and 45298?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence haun when four letters picked without replacement from anjnnunnhhhu?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 168, 174, 184, 198, 216, 238, 264?\nAnswer: 294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -1 (c) 0.06 (d) 2 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -11 + (3 + -3 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9759634?\nAnswer: 2, 61, 79997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(175)*-3 + 3)**2 + ((6*-2*sqrt(77))\/(sqrt(44)*-5))**2.\nAnswer: -180*sqrt(7) + 40527\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -964.51302 and -8225.\nAnswer: -9189.51302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 5*t - 30 + 28 = -4*t, 4*f + 18 = 5*t for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 47, 2, 6, 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25890, 52129, 78730, 105687, 132994, 160645, 188634?\nAnswer: 216955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of 5\/4*l**4 + 41\/42*l**7 + 0*l**3 - 5\/12*l**5 - 4\/3*l**6 + 0*l - 25\/168*l**8 + 17*l**2 + 0. Let f(c) = 0. What is c?\nAnswer: -2\/5, 0, 1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1206.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 48 = -5*i, -4*d + 43 = 4*i - 7*d. Suppose 0 = -5*x + i, f = 3*f - x - 14. Let n(s) = 12*s - 12. Is 13 a factor of n(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 835 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23890 + 41450. Let i(j) = u + 2*j**2 - 17560 - 5*j**2. Let c(r) = 15*r. Give i(c(v)).\nAnswer: -675*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 72 or -0.22?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 3*s + 4. Let p(a) = 2*a + 7. Let i be p(-4). Let k(q) be the second derivative of -q**3\/6 + q**2\/2 - q. Calculate i*x(h) + 3*k(h).\nAnswer: -h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1248548 and 12485480.\nAnswer: 12485480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 3*k + 8. What is the smallest common multiple of r(-3) and 60?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 9*f - 9. Let c(s) = 5*s - 5. Let z(d) = 11*c(d) - 6*i(d). Let t(o) = -7*o + 7. Let u(n) = -n. Let a(r) = t(r) - 3*u(r). What is a(h) + 6*z(h)?\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 3. Let r = -81 + 88. What is the lowest common multiple of r and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6797\/52 + -1722\/13. Let r = 0.49 + -0.19. Which is smaller: r or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.9 + 42.9.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 134\/30 + (-2)\/(-4)*986\/(-7395).\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15.85592917 - -15.856. Round r to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 9*o - 16. Let r(n) = 1. Let x(u) = -b(u) - 3*r(u). Let q(i) = -5*i + 7. Let h(j) = 5*q(j) - 3*x(j). What is the derivative of h(c) wrt c?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g. Let k(b) = -2. Let x(w) = -k(w) - 3*u(w). Give x(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.83 - 0.37. Let l = -1.7 - w. Let s = 1.49975 - l. Round s to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 56 + 374 = -5*w, l - 5*w - 130 = 0. Does 25 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/50 of a kilogram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {k: 5, e: 5, z: 3}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 6*d - 3. Let r be j(6). Let o be 0\/(-1*3) - 5. Let m = r - o. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*j + 116 + 474 = 62 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 6*n**3 + 3*n**2 - 2. Suppose 4*o = 8*o - 20. Let g(z) = 11*z**3 + 5*z**2 - 5. Let v(q) = o*i(q) - 3*g(q). Differentiate v(w) wrt w.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k - 24. Suppose 710*y - 701*y + 63 = 0. Give u(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 830891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 197085 and 5502?\nAnswer: 51636270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -427.63 and -6.\nAnswer: 2565.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20 or 12?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*y + 1964 = 631*y - 822 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 23 (b) -0.5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**3 - 5 - 2677*x + 3 - 17*x**4 + 35*x**2 + 2677*x to w*x**2 + n*x**3 + a*x**4 + k*x + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 302 = 3*c - 0*l, -486 = -5*c - 4*l. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*j**2 + 1 + (-j + 0*j + 0*j)*(0*j + 4*j - 2*j) + (6*j**2 - 3*j**2 + 2*j**2)*(-4 - 2 + 4) to the form r*j**2 + p + g*j and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -10928*i**3 + 24*i**2 + 54*i - 73. Is j(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33185539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 192, 1276, 4218, 9948, 19396, 33492, 53166, 79348?\nAnswer: 112968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -2. Let c(b) = 17 + 17 - 9*b - 72*b**3 + 132*b**3 - 27*b - 61*b**3 + 19*b**2. Let d be c(17). Solve d + r = w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110010110110000011000 (base 2) to base 16.\nAnswer: 196c18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6\/13, -1, 0.09021, 1\/5, -30, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5173520 divided by -323345\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 2*v = 2*u + 6, -3*v + 4 = -2*u. Suppose 4*w = 4*j - 21 - 7, -3*w + 5*j - 29 = 0. Put w, 14, u in decreasing order.\nAnswer: 14, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*z = -14*z - 3*n + 11, 4*z - 5*n + 29 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 3:33 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 3\/35, -0.4, -1\/3 in increasing order.\nAnswer: -0.4, -1\/3, -0.2, 3\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 236\/6*(-18)\/4. Let g be (-1)\/(m\/(-45) - 4). Solve -4*v + 7*v - g = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 8*f**2 - 8*f + 45. Let c be g(-9). Solve 32*h + 16 = c*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 111110101100000000000?\nAnswer: -111110101011111111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/6 (b) -0.2 (c) 4\/141\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1163, 1285, 1407, 1529?\nAnswer: 1651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -2*o - o, -4*o - 4 = 0. Let l be 22\/(-55) - (-21)\/15 - 2. Let p = 36 - 31. Sort l, r, p in increasing order.\nAnswer: l, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o + 7 = -3*i + 4*o, 3*i - 3*o = -21. What is the closest to -2 in -1\/5, i, -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 9*a. Suppose a = -4*b - 1092 - 432. Let i = b + 621. What is i rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28.2295785*-3.\nAnswer: 84.6887355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/8)\/((-246)\/(-656))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51938 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 the second derivative of 1773*g**3 - 4*g + 55?\nAnswer: 10638*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 7 - -10 - (2 + 5)) + 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 918 is divided by 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/42*(-1404)\/(-104). Which is greater: -2 or k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -6*b + 11*b + 1, -26*b + 41 = -l for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4944)\/(-18))\/4 - 1\/(-3). Suppose w + 2*d - 4*d = r, 0 = 5*w + 3*d - 410. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -175, -433, -927, -1735, -2935?\nAnswer: -4605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -403 + 366 + (79 - 5)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -2. Suppose y = -2*b + 19. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 130 and 61?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u**7\/2520 - 7*u**6\/720 - u**5\/20 + 8*u**4\/3 + 16*u. Let c(r) be the third derivative of z(r). Determine c(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 598.4672 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 6*q - 24. Determine u(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 334*h = 358*h - 2880. What is the remainder when 137 is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2694, 10750, 24154, 42900, 66982, 96394?\n\"Answer: -p**3 + 2680*p**2 + 23*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -798 - 414 = 108*i + 948 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v**2 + 17*v + 1. Let k(z) be the second derivative of -z**4\/12 - 3296*z. What is 4*k(y) + u(y)?\nAnswer: y**2 + 17*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 4*j - 6. Let m be y(8). Suppose -m + 8 = -3*b. Suppose -4 + b = r. What is the remainder when 6 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/11706 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/55 + 83\/495. Put -0.4, 2, -0.2, o in descending order.\nAnswer: 2, o, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*t = 54*t - 242*t - 855 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00900341 to 4 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.75 + 1.05. Let y be (2 + -1)*(-6)\/8. Which is greater: c or y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 13*y + 82042. Let w be q(-293). Let z(g) = -g**3 + g**2 - g - 1. Let t be z(0). Sort t, -8, w, 0 in increasing order.\nAnswer: -8, t, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57942512 divided by -14485628.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 532.58 - -0.082.\nAnswer: 532.662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -317 + 124795*p - 1502*p**2 - 124794*p - 293*p**2 wrt p.\nAnswer: -3590","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -u + 4, -6*u = -2*u + 2*t + 2. Let y(z) = z**2 - 5*z + 1277. What are the prime factors of y(u)?\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5809*i = -4*t - 5765*i + 664, 0 = 3*t - 5*i - 78 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 243b4?\nAnswer: 243b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h**3 - 3*h**3 + 3*h**3)*(4 - 6 + 1 - 1) in the form t*h**3 + y + f*h**2 + v*h and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**14*(y*y\/(((y*(y\/(y*(y**(-2\/29)*y)\/y)*y)\/y)\/y)\/y))\/y assuming y is positive.\nAnswer: y**(491\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 17304 (base 12) to base 15\nAnswer: 9ccd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1632896, 1632901, 1632906?\n\"Answer: 5*k + 1632891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 41259157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.92 - 0.08. Let o = -84 - -79. Put 0.2, q, o in descending order.\nAnswer: 0.2, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3973*n**4 + 125*n**3 - 1908486*n**2 wrt n.\nAnswer: -95352*n + 750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/7 + (-1)\/(-61). Let m = 181\/122 + f. Suppose 7*x + 3*x - 30 = 0. What is the nearest to m in x, -4\/9, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 554*3\nAnswer: 1662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 3, 0.5, -5\/29, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*j - 0*w - 14, 0 = w + 2. Let u(d) = -8*d**2 - 204 + 206 + 11*d - 4*d. Let z(l) = 15*l**2 - 13*l - 4. Determine j*z(m) - 11*u(m).\nAnswer: -2*m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-252)\/210)\/(73\/(-5))*(-2)\/(-6)\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7902513 to the power of 1\/2, to the nearest integer?\nAnswer: 2811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s. Let g(b) = -914*b. What is c(g(d))?\nAnswer: -3656*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 2*b**2 - 2*b - 3. Let o be t(-2). Let y be 4 - 1 - (o - 5). Solve y*v - 5 = 4*v - 2*r, -5*r = v + 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 243 divided by 27\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24373 + 43036. What is the thousands digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4036729 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/20, 0.4, 15, 2\/181, 2, 5 in ascending order.\nAnswer: -3\/20, 2\/181, 0.4, 2, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2808*p + 768*p - 1344*p + 335*p.\nAnswer: 2567*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-606)\/2488 - (45\/20)\/(-9). Let u = j + -652\/4665. Put 6, u, -4\/3, 3\/8 in decreasing order.\nAnswer: 6, 3\/8, u, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 12 = 7*q, -21 = -t + 5*q. Suppose -4 = -t*u + 4*u. Suppose -x + 5*d + 59 = 0, 5*x + 2*d - 177 = u*x. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence knnk when four letters picked without replacement from {v: 2, k: 3, n: 5, c: 2}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22296024097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1195 divide 692934729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-56)\/(-40) - 297\/55. Let t(c) = 5*c + 14. Give t(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 4*i. Let j = i - -2. Are 3 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20458058 to the nearest integer?\nAnswer: 4523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 34583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -563725*h**4 + 3*h**2 + 2*h - 50309?\nAnswer: -13529400*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1133 is divided by 140.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -6, 0.2, 367, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62491 is divided by 683.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x = -10*x - 623. Solve -285*i**4 - 44*i**2 + 504*i**3 + x*i**4 + 32*i - 196*i**2 = 0 for i.\nAnswer: 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -27, -71, -123, -183, -251, -327?\n\"Answer: -4*k**2 - 32*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*j + 161 = 222*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*y - 21*y - 773760 = -59*y. What is the greatest common factor of y and 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.2000866+0.2272\nAnswer: 4.4272866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 430 + -384. Calculate the least common multiple of 18 and r.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -x**5\/60 - x**3\/6 - 6*x**2. Let i(c) = -11*c**2 - 6. Let r be 4 + 4\/(4 + 1 + -3). Give r*p(k) - i(k).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34106439 and 129?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99214, 198429, 297644, 396859, 496074?\nAnswer: 595289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7747.\nAnswer: 61, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.2 - 0.8. Let v = s - -12.979. Let d = 0.521 + v. Which is smaller: d or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -m**5\/100 - 7*m**4\/30 - 49*m**3\/30 - 382*m. Solve x(g) = 0 for g.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j**2 - 2*j**2 - 3*j**2 - j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*w - 3*u, 3*w - 2*u - 9 = 2*u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 954\/(-504) + (-4)\/(-28). Which is the closest to 11? (a) t (b) -1.6 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fzf when three letters picked without replacement from {z: 3, l: 4, s: 1, f: 2, b: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -89229 divided by 44?\nAnswer: -89229\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39600.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*s + 8184, 5*s + 6612 + 3653 = 5*f. Calculate the remainder when 1 + s\/(-15) + (-6)\/(-15) is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12157 - 6664. Suppose 9*m + 831 = f. List the prime factors of m.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 203 = 2*a - o, -515 = -5*a + 5*o. Suppose p + 5 = a. Let g = p + -473\/5. Sort -1, 4, g in decreasing order.\nAnswer: 4, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of 0 + 17\/6*k**3 - 5\/12*k**4 + 1\/120*k**6 - k**2 - 7\/60*k**5 + 17*k. What is c(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52560 and 3650?\nAnswer: 262800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.01277 times 0.4062\nAnswer: -0.005187174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of g**3\/6 - 11*g**2\/2 + 5*g + 5. Let l(t) be the first derivative of v(t). Let a be l(11). Solve a*f = -2*f - 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g - 31. Let w be m(-18). Suppose -3*z - 1453 = 2*j - 7*j, -j - w*z + 313 = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6806621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 2\/((-4)\/(-658)) - -4. Calculate the highest common factor of 72 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 11:08 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 - 93)*(-75 + 75 + 3*g + (1 - 4 + 5)*(-4 + 4 - g)) + 4*g - 5*g - 10*g to d*g + o and give d.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/7*z**2 + 1\/7*z**4 + 23\/7*z**3 - 71\/7*z - 46\/7.\nAnswer: (z - 2)*(z + 1)**2*(z + 23)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8446605 and 4465.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1444\/361*34\/8\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 678, 681, 684, 687, 690, 693?\nAnswer: 696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13180 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 0.2, 21478?\nAnswer: 21478","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p**2 + 19605*p + 58896 = 0. What is p?\nAnswer: -3, 6544\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -9 (b) -0.04 (c) -4 (d) -0.16 (e) 124\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 112*u**4 - 2899*u**2 wrt u.\nAnswer: 2688*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*z - 983 + 367. Let n be 24*(-23)\/((-3381)\/z). Factor -n*p**3 - 16*p**2 - 50\/7*p - 6\/7.\nAnswer: -2*(p + 3)*(4*p + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003199 to 7 dps.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -318? (a) -1\/6 (b) -71 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/50805 and -77\/2767179.\nAnswer: 41507685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*u + 27 = 2*c, -2*u + 6 = 0. Let w be 4\/c + 120\/21. List the prime factors of (-3)\/(w\/2) - -7.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -180*q**5 - q**4 - 2*q**2 - 83*q?\nAnswer: -10800*q**2 - 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*p - 3. Let y(o) = 3*o + 2. What is y(p)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1682550603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, l: 2, c: 4, h: 1}. What is prob of sequence ccc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 6396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21020202002220 (base 3) to base 11.\nAnswer: 21a1775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 11, 3, -53, -187, -429?\n\"Answer: -5*c**3 + 6*c**2 + 9*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**4 - 1086*y**3 + 36470*y**2 - 189282*y + 269100 = 0.\nAnswer: -575, 3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 21*p**3 + 9*p**2 + 9*p + 9. Suppose 235*f + 543 = 73. Let o(w) = 5*w**3 + 2*w**2 + 2*w + 2. What is f*v(z) + 9*o(z)?\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-2\/11)*q**(-30))\/((q**(20\/9)\/q)\/q**(-3)) assuming q is positive.\nAnswer: q**(-3271\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1927)\/(-123) + 9\/27 + 7\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 4*k**2 + 4*k + 2. Let j be b(-2). What is the remainder when 26 is divided by (-14)\/4*(-4 + j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -388683, -388723, -388751, -388761, -388747, -388703, -388623?\n\"Answer: f**3 - 47*f - 388637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1539792*n**2 - 337*n - 551.\nAnswer: 3079584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-34.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxl when three letters picked without replacement from {s: 3, l: 1, x: 5}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k + 163. Suppose 0 = -d + 4*n + 4, 7*n = 2*n - 5. Is o(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 1007*f**2 + 152*f + 152. Let j(m) = 33*m**2 + 5*m + 5. Calculate -152*j(z) + 5*o(z).\nAnswer: 19*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40840, 81672, 122496, 163312, 204120, 244920, 285712?\nAnswer: 326496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 d when three letters picked without replacement from {d: 2, k: 3, v: 13}?\nAnswer: 13\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.56 + 5?\nAnswer: -5.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17087, 5, 4, -0.4 in descending order.\nAnswer: 17087, 5, 4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (-7 - -9 - 7)) + -5 + (-30 - -41).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -514*b + 129*b + 5220 = -240*b for b.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 0, -68.\nAnswer: -68, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5\/8 + -9\/40. Let d = 61 + -38. Let l = 16 - d. Which is the second smallest value? (a) l (b) 3\/5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2975475 to the power of 1\/2, to the nearest integer?\nAnswer: 1725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (-5856)\/336 - (332\/(-140) + 5)\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 20 = -0*z. Suppose 12*f - 7*f - 10 = 0. What is the least common multiple of f and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q**2 - 3. Let a be j(-4). Let t = a - 62. Solve 2*r + t = -2*r + 3*n, 5*r - 5 = -n for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3330 (base 7) in base 6?\nAnswer: 5313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 8926 - n - 53*n - 8923 in the form u + v*n and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6907 - 6887. Let t(z) be the second derivative of 0*z**2 - o*z - 3\/4*z**4 - 1\/3*z**3 - 1\/5*z**5 + 0. Factor t(c).\nAnswer: -c*(c + 2)*(4*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((0 - -1) + -2)*(-5 - -10). Let a = s - -11. Suppose a*i - 638 = 4*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1356 + -82719\/61. Let q = -55\/122 + a. Is -3\/2 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n - 2*k + 14, -929*n + 66 = -933*n + 3*k for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 4:41 PM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/2496 and 179\/1920.\nAnswer: 24960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19082 and 2538?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zkok. Give prob of sequence koz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 231 - 225 = 3*m, -f + 3 = -2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11069, 22129, 33189, 44249?\nAnswer: 55309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7806171 to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 4*u**2 - 6*u - 35. Give w(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 7*b**2 - 20*b. Determine h(9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -264*n - 2*n**2 + 622 - 622 in the form s + a*n**2 + q*n and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -33907, -70487, -107067, -143647, -180227?\n\"Answer: -36580*h + 2673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15267404 + 930*w**3 + 30534812 - 15267408.\nAnswer: 930*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1410 times -0.2?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 7416161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34375 (base 8) to base 9.\nAnswer: -22010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h**5\/5 + 23*h**4\/5 - 294*h**3\/5 + 1134*h**2\/5 - 351*h + 891\/5 = 0. Calculate h.\nAnswer: -33, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-28)*(p\/(p*p*p*p\/p**(-9\/7)))\/p)\/((p*p*((p**(1\/21)*p)\/p)\/p)\/p**(-3\/4)))**(-20\/11) assuming p is positive.\nAnswer: p**(2105\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5*p - y - 3, 0 = 4*p - 3*y. Suppose 0*b + t + 971 = 2*b, -2*b + 961 = -p*t. Suppose 9*r - b = r. What are the prime factors of r?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 806 and 988?\nAnswer: 30628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536720 is divided by 223.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + a3a?\nAnswer: a3f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 52*i - 648 = 0. Calculate the lowest common multiple of 24 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15641 times -25\nAnswer: -391025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 40\/(13\/(-4) - -3). Let f = -114 - c. Is f a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/3)\/(s*s**(-2\/53)\/s*s))\/(s**(-2\/3))**(-9\/4) assuming s is positive.\nAnswer: s**(-889\/318)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 + 94*l.\nAnswer: l*(l + 94)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m. Let w(j) = -2926*j. Calculate u(w(p)).\nAnswer: -8778*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -1. Let a(b) = -b - 6. Let x(i) = a(i) - 6*h(i). Let y(l) = -30*l + 51*l - 19*l - 27*l. Calculate y(x(o)).\nAnswer: 25*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 86055 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*v**2 - 4*v**2 + 5*v**3)*((-5 + 1 + 2)*(-3 + 0 + 1) - 376 - 45 - 1 - 81) in the form w*v + k*v**3 + x*v**2 + u and give k.\nAnswer: -2495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 5:18 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9722 - 184676\/19. Which is smaller: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -129 - -133. Suppose 4 + 8 = q*p. Calculate the greatest common factor of 48 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -38\/7 at least -1825826?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 535 + -1603\/3. Sort y, 2\/7, -0.51, -0.5, 3 in ascending order.\nAnswer: -0.51, -0.5, 2\/7, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 11*h + 3. Let c be x(11). Suppose 5*p = 2*p + 4*z + 15, -5*p = 5*z + 10. Sort c, -3, p, -14 in descending order.\nAnswer: c, p, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8*8\/64)\/(1\/8). Suppose -47 = -y*q + 193. Calculate the remainder when q is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5*9\/1)\/((-265)\/106)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z + 1. What is the units digit of c(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - -4 - (5 - 3). Calculate the greatest common divisor of 14 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4b903b (base 12) in base 7?\nAnswer: -13350212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 772 divide 253313143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 87.7 - 87.7. Let x = 0.22 + 0.08. What is the nearest to x in t, -0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l. Let b(j) be the first derivative of j**2\/2 + 648*j - 491. Give c(b(q)).\nAnswer: -q - 648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -10*x**3\/3 + 5*x**2 + 16. Find the second derivative of y(c) wrt c.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*p - 60*p - 60*p + 188*p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 626 is divided by 61?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -k**5\/12 + 123*k**2. Let m(b) = 22*b**2. What is m(i(u))?\nAnswer: 550*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -87159 or -784438\/9?\nAnswer: -87159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -36*b. Let c(d) = -2814702 + 2814702 + 325*d. What is -4*c(s) - 35*j(s)?\nAnswer: -40*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, z: 3, n: 1, t: 7, l: 7}. What is prob of sequence lnql?\nAnswer: 7\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(6\/11)\/m**3*(m*m*m**(-1\/2))\/(m\/m**(1\/2)))\/((m\/m**5)\/((m*m\/(m**2*m)*m)\/m)*m*m*m*m**(4\/7)\/m*m*m*m*m\/((m**(3\/7)*m)\/m)) assuming m is positive.\nAnswer: m**(-354\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 236.87896921 - -0.11659079. Let x = q + -237. Round x to four dps.\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -9*m**2 + 3*m - 1. Calculate s(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 4*r - 85012, 2*w - 52004 = -2*r - 17998. Is 34 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y + 26 = -16. Solve -y*z - 4*o + 2*o - 9 = 0, 0 = 5*z - 3*o - 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14859 is divided by 72.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (14\/21)\/(1\/(-6)). Let j be 20\/s*(-9)\/5. Suppose -5*p = -j*p + 132. What are the prime factors of p?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) -0.216 (c) 1755 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80\/(-15) - -5)*(0 - -1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24\/96 - (1 + -1). Let d(y) be the first derivative of 0*y**3 - k*y**4 - 1 + 0*y**2 + 0*y. Factor d(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203221797 to the power of 1\/2, to the nearest integer?\nAnswer: 34687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 3836392?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 372793505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/121 in -2, -3\/50, 1\/4, 0.5, -4?\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12103031131 (base 4) to base 7.\nAnswer: 20016004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -3. Suppose -b*p + 4*n = -132, -2*p + 88 = -6*n + 3*n. Calculate the greatest common divisor of p and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 264703 * -58.1.\nAnswer: -15379244.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 0*z**3 + 16*z**2 + 0*z + 15\/2*z**4 - 22. Find the second derivative of p(x) wrt x.\nAnswer: 180*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*x - 5*x = -69 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 308 + -200. Let c be 1 - 1 - -6*(-6)\/o. Let n be (-2)\/4*(1 - 1). What is the closest to c in n, 0.1, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 5:26 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 0 - 1\/3*a**3 - 1\/6*a**4 + 3\/2*a**2 - 3*a. Give y(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 3*o - 329845, -143593 = -2*r - 4*o + 21327. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + 13 + -61 - -22?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z. Let v(k) = -60*k - 4. What is a(v(j))?\nAnswer: -60*j - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*b = -160*b + 24. Solve b*d = -s - 20, -4*d - 10 = 2*s + 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -10. Let v be 9\/(-1)*k\/9. Let j(m) = -m**2 - m + 2. Give j(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 11, 4, -3, -4, 7, 36, 89?\n\"Answer: w**3 - 6*w**2 + 4*w + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(1\/4)\/y))**(-1\/40)*(y\/((y**2*y*y)\/y*y))\/y**7 assuming y is positive.\nAnswer: y**(-1607\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -c**4\/12 + 4*c**2. Suppose 4*g - 4*p - p = -33, 4*p = 20. Calculate n(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/6*3*(-65)\/1092*-6?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -128, -309, -572, -923, -1368?\nAnswer: -1913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 10011?\nAnswer: -10002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u. Let y(w) = 73655*w**2. Give z(y(i)).\nAnswer: -220965*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002694162 to 4 decimal places.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.6 - -6. Let k = 3.1 + -0.6. Let c = 2 - k. What is the second smallest value in t, c, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 715 and 158535.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 136432664?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -134.72 to the nearest integer.\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2172*g**2 + 716*g**2 + 739*g**2 + 715*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-2 - -7) - 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.12 + -0.88. Let s = -55 + 59. Which is the closest to 0? (a) y (b) 0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1069 is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 3*x, -4*a = -4*x - 96. Suppose 0 = 27*l - a*l - 6. Let 0*m**l - 2\/7*m**5 + 2\/7*m**4 + 0*m + 0 + 0*m**3 = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ki when two letters picked without replacement from kkiikikkkkkiki.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.153767662 + -9909.578067662. Let z = -9877.3243153 - l. Let v = -32.1 + z. Round v to 6 dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -194 + 371 - 10*x - 193 + 0*x - 2*x + 4*x + (x - 4*x + 5*x)*(5 - 2 - 1) to the form w*x + s and give s.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3677960.\nAnswer: 2, 5, 11, 13, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = u + 2*u - c, 5*u + 5*c + 25 = 0. Put u, -5, 3 in decreasing order.\nAnswer: 3, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8\/45 - 706\/585. Is p at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -517*f. Let u(y) = -144072*y**2 - 144093*y**2 + 288146*y**2. Determine s(u(t)).\nAnswer: 9823*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06 and 260.\nAnswer: -15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8435, 0.8311, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 158 - 148. Let z = 6 + 4. Calculate the lowest common multiple of z and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 938685 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3202333 + 103203?\nAnswer: 3312202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1063887*f**2 - 489253*f wrt f.\nAnswer: 2127774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 7 = 8*t - 3*t, -4*x = -5*t - 17. Let q be -4*t\/14*7. Solve 0 = -5*d - 0 - 15, 10 = k - q*d for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/(-40) - (1 - (0 + -2)) and -81\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -11120011021?\nAnswer: 11120011002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.84891*-1.092.\nAnswer: 8.57100972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {m: 3, a: 8}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -135*1\/(-162)*-36?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7.44 and 26.\nAnswer: 33.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 799106 and 112?\nAnswer: 6392848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -6*h - 18. Let x be f(-14). Let p be 1 + 4\/(-5) - x\/30. Does 4 divide 2 - (6 + (-6 - p)) - -20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, g: 1, c: 2, m: 1, p: 4, u: 2}. What is prob of sequence rg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27000458.\nAnswer: 2, 1553, 8693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1769016 is divided by 110555?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y**2 - 3*y + 2. Let j be h(2). What is the greatest common factor of j and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1830027?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -4*p**4 + 30475*p**3 + 8135655*p**2 + 10129565*p + 2024389 = 0.\nAnswer: -257, -1, -1\/4, 7877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -13. Suppose 0 = -l*a + 2*a - 12. Let f = 26.7 - 27. What is the second smallest value in -2\/9, f, a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.042*0.09.\nAnswer: 0.00378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, e: 4, h: 3, z: 2, a: 1}. What is prob of picking 2 e and 1 h?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**2\/5 + 24*h\/5 - 108\/5 = 0.\nAnswer: 6, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**3 + t**2 - 4*t. Let p be 6\/5*(-20)\/6. Let f(y) = 6*y**3 - 3*y**2 + 11*y. Suppose 3*l - 3 - 5 = g, -4*l = 5*g + 59. Give g*h(k) + p*f(k).\nAnswer: -2*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/15 - 1\/((-15)\/5571). Suppose 3*s - 369 = 3*z, w = 3*s - 5*z + z. Let k = 21 + -10. Calculate the greatest common factor of s and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 m when two letters picked without replacement from {m: 1, z: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.64 - 0.4. Let m = -1.76 - x. Suppose -4*n - 4*v - 39 = -5*n, 33 = n + 2*v. What is the nearest to n in m, 1\/2, -0.5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -59622 or -59623?\nAnswer: -59622","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 860 at most 861?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3868*q = -7223*q + 842916 for q.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -3 + 1 - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -1381.2?\nAnswer: -1381.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 449*g**3 - 39*g**2 - 26*g - 2523. Let t(z) = 224*z**3 - 18*z**2 - 12*z - 1261. Let j(d) = -13*t(d) + 6*w(d). Differentiate j(n) wrt n.\nAnswer: -654*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 + 46. Suppose -k*h = 8 + 10. Let w be (11\/h + 5)*-10. Solve -7 = w*x + 3*i, 3*i = -4*x + 5*i + 12 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 33, 11, -31, -99, -199, -337?\nAnswer: -519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -1. Let w(k) = 179*k - 720. Let p(x) = 2. Let s(r) = 2*p(r) + w(r). Let h(q) = -716*c(q) + s(q). Let i(v) = 2*v**2. Give i(h(t)).\nAnswer: 64082*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9, f: 11}. Give prob of sequence ifi.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1289 - -1292. Solve -h = i - 1, b*h + 3*i = 6*h + 15 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1812526*k + 282631 with respect to k.\nAnswer: -1812526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1275263 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: Solve 0 = 108*z - 134*z - 78 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 117.64128 months in decades?\nAnswer: 0.980344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 34 = 2*n, 0 = n + 3*t - 13 - 1. Let u = 62 - 56. What is the remainder when n is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 10 = -2*o - 4*h, 4*o + h = 10. Let p = 2.93 - -0.07. Let t = p + -3. What is the closest to t in -4, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 12*z + 32. Calculate the least common multiple of h(-14) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -148*z + 157*z - 27. Solve -2*w - 1 = 3*y, 3*w + 0*w - 21 = z*y for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjpvjqpqq. Give prob of sequence pq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 217 = -2*t + 3*r, -4*r = 12. Let v = 1217 - 1263. Let k = v + t. Solve -k + 16 = 2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18950 + 18950. What is i in r + 3*i**2 - 3\/4*i**3 - 3*i = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0194436 rounded to three dps?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 + 10*n**3 + 1 - 2*n - 2*n**3 + 4*n - 4*n. Let w be p(1). List the prime factors of 2 - w*4*-1.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 6*z**2 + 2*z - 8. Suppose 0*c = -5*o - 5*c + 35, -5 = -5*c. Let h be a(o). Factor 0*d**2 - h*d**2 + 2*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 52306.69mm?\nAnswer: 52.30669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**2 + 0*t**2 + 3*t**2 - t**2 + t**2 + t**2 + (0*t + 0*t - t)*(0 - t + 0) - 164*t + 164*t - 4*t**2 to the form h*t**2 + z*t + f and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i + 5 + i**2 + i**4 - 1 - 3 to the form q + n*i + v*i**2 + a*i**3 + h*i**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 16*u**2 - 25*u - 32. Let s be b(14). Let q = 6 - 4. Solve -4*n + s = -2, 3*o + 3 = -q*n for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15664379953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 5*y**2 - 2*y - 2. Let b be j(-4). Is 5 a factor of b*(-3)\/(-12)*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - z + 1. Let d(m) = -m**3 - 5*m**2 - m. Calculate -2*c(i) + d(i).\nAnswer: -i**3 - 3*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 130 in -11, -1, -4\/7, -3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3*115\/(-69)*(-2)\/5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 586 (base 10) to base 5\nAnswer: 4321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94850 is divided by 182.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*c = -245, 2*m + 2*c - 19 = 107. Calculate the highest common factor of 2527 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m - 13. Let d(l) = l + 6 - 7 - 5. Suppose 6*v - 3*v + 6 = 3*t, 0 = 5*t - 25. Let c = 9 - v. Give c*k(i) - 13*d(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/26 in 0.5, -5, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256 + 506 + 2*r - 248.\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-68))\/(((-4)\/16)\/(9\/27))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*p, -10*p + 0*p - p = -2*f - 6*p - p - 24 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5050 is divided by 112?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.49 + -12528729.\nAnswer: -12528737.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3)\/((-317)\/(-7608))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/6)\/((-3283)\/(-3752)).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = 300 - 84. Find the second derivative of 82*z**2 + w*z - 174*z**2 + 92*z**2 - 16*z**4 wrt z.\nAnswer: -192*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) 1 (c) 897903\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -4 - 24 - (12 - (62 - -15))\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of b**9\/252 - b**5\/60 - b**2\/2 + 2. Let a(m) be the second derivative of j(m). Find the third derivative of a(r) wrt r.\nAnswer: 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 0.054 (b) -3\/5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.08998l in millilitres?\nAnswer: 96089.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3\/2 - 3\/4. What is the third biggest value in -0.5, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3708.1 - -3520. Let i = 188 + w. What is the smallest value in i, 0.3, -0.08?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121981435 to the power of 1\/2, to the nearest integer?\nAnswer: 11045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 363725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**4 + 59 - 26 + d**3 - 33 + 3*d**2 to the form m*d**4 + x*d**3 + r*d**2 + w + b*d and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*g + 304582 = 1610*g + 2394*g + 684*g for g.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1021685, 1021876, 1022067, 1022258, 1022449?\n\"Answer: 191*b + 1021494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/(-275))\/((-63)\/(-140)).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63999 and 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -a**3\/6 - 7*a**2\/2 - 3*a. Let y be f(-7). Solve y*p - p = -4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/8 - 5885\/(-44). Suppose -4*q + f = 22. Calculate the greatest common divisor of 252 and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**3 + 2*a**2 + 2*a - 2. Let x(z) = -4*z**3 - 2*z**2 - 2*z + 3. Let m = -27 - -18. Let l = 12 + m. Calculate l*c(d) + 2*x(d).\nAnswer: d**3 + 2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.8597ml in litres?\nAnswer: 0.0848597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 51 = -t. Let d = t + 40. Is 10\/40 - 374\/d a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b65b4 (base 15) to base 9.\nAnswer: -5333387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 74*u**2 + 24*u + 1779. What is h(-74)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -309 or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 723911941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 + 23?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8961163 millennia to decades.\nAnswer: 89.61163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 4*t - 78 = 21*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13\/1063345 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 196*q**4 - 25396*q**3 + 39552*q**2 - 16400*q + 2048 = 0.\nAnswer: 2\/7, 1, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -483674, -8 in increasing order.\nAnswer: -483674, -8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319064081 < 1319064081?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2 + 1 - 5 - 13*w + 14*w. Let z be b(4). Let t be (z + -2)\/(2 + -1). Is 7\/6 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3238 + 10707. What is the thousands digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -285*g**2 - 100897*g - 2456. Determine o(-354).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1005 divided by -5.\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = g - 196. Let c(p) = 47*p - 91. What is the remainder when c(6) is divided by g?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*g + 23 = 0, -1 = -2*g - 5. Suppose 390 = -2*w + c*w. What is the greatest common factor of w and 338?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 32 = 3. Let v(z) = 8 - z**3 + g*z**2 + 0*z**3 - 2*z + 0*z**3 - 2. Is v(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -491 and -35.36261381.\nAnswer: -526.36261381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (7 - 4 - 5) + 6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -5\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/3451160 and -131\/862790.\nAnswer: 3451160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244 + 220 = 6*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000015373434 rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 + -67\/2. Let i(p) = -2*p**2 + 3*p. Let l be i(2). What is the closest to -1 in l, y, 0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49 + 49. What is the biggest value in 0.3, v, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.266458279 rounded to three decimal places?\nAnswer: -0.266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 120*c + 1304. Determine k(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 12 - 28 + 4 - 5*u**3 - 7*u**3 + 2.\nAnswer: -12*u**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2990363, -5980736, -8971109, -11961482?\nAnswer: -14951855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n - 2 + n**2 + 7*n + 0*n**2. Let u be 42\/(-4)*36\/54. What is the units digit of d(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3493, -14013, -31555, -56125, -87729?\n\"Answer: -l**3 - 3505*l**2 + 2*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/80 and -31\/301761240.\nAnswer: 603522480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.1220686 to 1 decimal place.\nAnswer: 10.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 430 - 238. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*i**3 + 3*i**3 - 8*i**3 + (-1 + 2 + 0)*(-2*i + 2*i - 2*i**3) + 1323*i**3 + 634*i**3 - 785*i**3 + 589*i**3 as a + o*i + x*i**2 + k*i**3 and give k.\nAnswer: 1747","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 21*s**2 - 3*s - 6. Determine p(-2).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -398064090 to the nearest one hundred thousand.\nAnswer: -398100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1005, 20, 2, 0 in descending order.\nAnswer: 1005, 20, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 82 + -79. Let w be (-2)\/3*30\/(-4). Put -2, d, -4, w in ascending order.\nAnswer: -4, -2, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 80.7 + -81. Is 0.09 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 7*r + 1 = -3*k, -k - 2 = -3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 168618 divided by 3?\nAnswer: 56206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z + 4. Let u = 96 - 69. Suppose 26*d + 51 + u = 0. Determine h(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 215640 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -259*n**6\/3 - 613*n**3\/3 - 3*n + 295. What is the second derivative of w(j) wrt j?\nAnswer: -31080*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - g**2 - 71*g - 184. Determine z(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r**3 - 14*r**2 - 21*r - 83. Determine u(11).\nAnswer: 1985","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b + 193. Let w be f(-13). Differentiate 6*y + w*y**2 + 30*y + 34 - 36*y wrt y.\nAnswer: 256*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68467*j + 24853*j + 7705*j.\nAnswer: 101025*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -164 + 305 - 141 + 1063*d**2 + 2*d**5 - 1731*d wrt d?\nAnswer: 40*d**3 + 2126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-126)\/(-8) - 2\/(-8). Suppose 0 = -3*a + 3*s - 21, -4*a - q = -s + 6. Suppose v = 2*v - 3*p + 9, 4*p = -5*v - 7. Put -4, a, v in decreasing order.\nAnswer: v, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -294 + 299. Which is the closest to 1107? (a) -1 (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 520*x**5 - 70519*x**4 + 69552545*x wrt x.\nAnswer: 10400*x**3 - 846228*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-6)*(-18)\/(-4). Let m = -2627 + 2624. Sort -1, v, -4, m in ascending order.\nAnswer: -4, m, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*x - 2*x + 106, 2*l - 69 = -x. Let d = 164 - l. Is 27 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -24554337.\nAnswer: 9821734.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 17 - 1. Suppose 21 + 32 = 5*n - v, h*v = -12. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 804 + 60 = -2*r, -5*w = 10. Suppose -15*i + 4094 = r. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*v**4 - 590*v**3 + 2*v + 5670 wrt v.\nAnswer: 16*v**3 - 1770*v**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from aaaajajaaja?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 5. Let r(p) = p + 10. Let h be r(-7). Let v(l) = -2*l**3 + 5*l**c + l**3 - h*l - 9 + 5. Give v(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 92, 160, 268, 422, 628, 892, 1220?\nAnswer: 1618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.965311 millennia in years?\nAnswer: 1965.311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k - 1. Let p(v) = 797 - 13*v - 817 + 3*v. Give -12*c(h) + p(h).\nAnswer: 2*h - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - 1\/4 - 2. Let y = -158 - -155. Let t be (-5)\/10*(y + 7). Which is bigger: t or l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 228, 720, 1480, 2508, 3804, 5368?\n\"Answer: 134*w**2 + 90*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2975? (a) -13\/4 (b) 384 (c) -0.2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 126899 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 1 (c) -5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143110.2 kilometers to meters.\nAnswer: 143110200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 399*y + 6136. Determine w(16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 3*u + 2. Let s be f(4). Let y be (-6)\/4*s\/(-15). Let b be -4 + 45*9\/105. Sort 0.3, y, b.\nAnswer: y, b, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 7 (b) -4\/5 (c) -5 (d) -1\/214\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1959.228978 and 2878.\nAnswer: 4837.228978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -12, 0.5, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - x - 1 + 5, 16 = 4*x. Suppose 160 = -1966*j + 2006*j. Solve -j*i - 12 = 0, 0 = w - c*i - 3*i - 14 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4865 divided by 5?\nAnswer: -973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (3 - 3\/(-3)). Suppose n - 5*r - 8 = 0, -n + u*r = r - 2. Let l be -1 - -6*(-2)\/n. Solve 4*f = l*g, 0 = g + f - 2*f for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 331338 and 317814.\nAnswer: 15572886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/24396 and 67\/195168?\nAnswer: 195168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-800)\/(-10))\/8*32. Calculate the greatest common factor of j and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 - -10 - (-384 - -312)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/11))**17 assuming n is positive.\nAnswer: n**(-17\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-1))\/(13\/1040*-5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -7*z**2 + 56*z - 56*z. Let u(i) be the second derivative of -i**3\/3 - 9*i**2\/2 - i - 109. What is j(u(c))?\nAnswer: -28*c**2 - 252*c - 567","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -0 - 8. What is the units digit of (2 - -5)*15 + u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 92, 97, 104, 113?\n\"Answer: j**2 + 2*j + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m**2\/3 + 30*m = 0. Calculate m.\nAnswer: -90, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*b + p + 43 = -37*b, 0 = -4*p - 12. Let r = 6 - 3. Solve 3*t = 0, 5*d - 2*t = r*d - b for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-2) - 238\/(-4). Suppose 0 = -u - 4*u + a. Suppose 4*r = 32 - u. Let t(j) = j**3 - 4*j**2 - 5*j + 3. Give t(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pmmppp. Give prob of sequence ppmp.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 261 + (-242 - 16) + 52 + -1 + 2.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115445?\nAnswer: 5, 11, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 20848.\nAnswer: 41696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 + -9. Let x = 9 - m. Let u = x - -19.999994. What is u rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s + 2754 = 2550 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Let i(t) = -214*t + 72*t + 67*t + 74*t - 7*t**2. Let w be -3*(0 - 1\/3). Calculate i(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate z**4 + 22708*z**3 + 2*z**2 - 22*z - 76237450 with respect to z.\nAnswer: 4*z**3 + 68124*z**2 + 4*z - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - 91*z + 95*z = 204*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 10:17 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2074056 and 2848?\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31503047 or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.63428281 rounded to 3 decimal places?\nAnswer: 1.634","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 17*m**2 + 7*m + 21. Let d(c) = -5*c**2 - 2*c - 6. Let f(h) = 14*d(h) + 4*x(h). Let j(a) = -748*a. Calculate f(j(w)).\nAnswer: -1119008*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 + -16. Calculate the remainder when b is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z**2 + 31*z - 20. Let u be r(7). Let l be 12\/(-66) - (u - 70\/22). Let y(o) = 2*o**3 - 2*o**2 - o + 1. Determine y(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -52569 at most as big as -52570?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3 = 11. Let j(s) = -3*s**3 - 3*s**2 - s - 2. Is j(b) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 60627073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4011\/(-84) - (2 + -1)\/(-4). Let q = 661\/14 + w. What is the biggest value in 3\/8, 4, q, -0.06?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -189, -3, -6768 in descending order.\nAnswer: 7, -3, -189, -6768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9450?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m - m**3 + 3*m + m as d + g*m + r*m**2 + v*m**3 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**4\/3 - 778*q**3\/3 - 19152*q**2 + 73560*q + 1073952 = 0. Calculate q.\nAnswer: -66, -6, 9, 452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -4\/3 (c) -3\/4 (d) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 53 = -3*q, -3*x - 94 = x + 4*q - 26 - 8 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 675\/3*19200\/(-18). Round o to the nearest ten thousand.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*v + 3*v + 3*r, 2*v - r - 8 = 0. Let u be (v + (-21)\/(-1))*1. What is the highest common divisor of 23 and u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10108097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 1 - 1. Suppose 4*k + 3*w = 8, -k - 3*w + 15 = w. Put 0, s, k in decreasing order.\nAnswer: s, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 14 = -0*q. Let k(j) = j**2 + 9*j + 14. Let g be k(q). Is (g - -2)\/((-8)\/(-1652)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4223724 divided by 6\nAnswer: 703954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2153395?\nAnswer: 5, 29, 14851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 58.75 * 0.4\nAnswer: 23.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(-270)*12\/(-26)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7860 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 71768 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*n - n - n + 5*n as o + c*n and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 480\/(-320)*(-8)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21625?\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 0, 4, -1, -5 in increasing order.\nAnswer: -5, -1, 0, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/2 of a century?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/816 and -13\/17798184.\nAnswer: 35596368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.17 - -10.17. Let g = t + -14. Put g, 0.4, 5 in ascending order.\nAnswer: g, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241003*h + 1800 = 241018*h for h.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 4*j**2 + 5*j + 4. Let g be k(-3). Which is the nearest to g? (a) -1 (b) 5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 19, 612, 3, -1.8 in descending order.\nAnswer: 612, 19, 7, 3, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 128037 - 85*d**3 - 128111 + 318*d**3 - 5*d wrt d.\nAnswer: 1398*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250*c + 243*c - 494*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (34 - 26) + 1 + -17 - 7?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - 2ed3?\nAnswer: -2ed9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2544 = 27*r - 35*r. Suppose -7*u + 899 - r = 0. What are the prime factors of u?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(-2\/3)\/b))**24*(b*b*(b*b**(-6)*b)\/b)\/b**(-1\/4))\/((b**(-1)\/b*b)**29)**47 assuming b is positive.\nAnswer: b**(5697\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 681 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -8. Let o = -3.2 - -6.6. Let x = o - -0.6. Put -3, x, p in increasing order.\nAnswer: -3, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 384 + -387. Let q be ((-2)\/6)\/(b\/279). Solve -2*z - q = -37 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 15) to base 11.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -237 - -148. Let c = -83 - l. Let o(s) = 2*s + 16. Let j be o(0). Solve 2*p - c*p = j for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -4*b, -3*q + 12 = 10*b - 9*b. Solve -k + 5*f - 45 = b*k, -f - 5 = 2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -5*p - 0*p - 8955, -2*p = 4*n - 7170. Suppose 24*k - n = -4*k. What is the smallest common multiple of k and 4?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000504923021 rounded to 6 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/8)\/(12\/(-24)). What are the prime factors of h*(-5)\/(-50)*1788?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -1225*o - 2463. Calculate c(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 4*o - 4*n + 6*n, -5*o - 29 = -3*n for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/(-12))\/(-25 - (-38816)\/1584) and -38\/441.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 852396 divided by -502.\nAnswer: -1698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(40) - sqrt(160))\/sqrt(8))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -253 - -441. Let g = 1694\/9 - f. Determine m so that -8\/9*m - 8\/9*m**2 - g = 0.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 18 - 48 = 0. Let w be 2\/8 - f\/12. Suppose 66 = -a + w*a. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 2985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*k - 31694 = 8268. What is the remainder when k is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.1, 12\/37, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 7, 1, 4230 in descending order.\nAnswer: 4230, 7, 5, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -1. Let q(w) = w**2 + 9*w. Let p be q(-9). Let n be -1 + (p - (-3 - -1)). Solve -y*c + 7 = 5*u, c - n = -2*u - 2*c for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292259 is divided by 32472.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 870963 and 10950?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/126 and (3\/42)\/((-205)\/(-55) + -9).\nAnswer: 7308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + ((-104)\/16)\/(2\/4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2835140 a multiple of 206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 107093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - -3. Let u = -536.992 + 531. Let b = u + a. Round b to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1736 is divided by 1632.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25434 + 18178. List the prime factors of w.\nAnswer: 2, 10903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -151*s - 11 - 127*s + 324*s wrt s.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*l**2 + 10*l - 153 with respect to l.\nAnswer: 22*l + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/368069 or 48\/5?\nAnswer: -3\/368069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(sqrt(15)\/sqrt(48) - sqrt(5)) - ((sqrt(77) + (sqrt(77) - (sqrt(77) + sqrt(77) + (sqrt(77)*-1 - sqrt(77))))*5)\/sqrt(7))**2) + 2.\nAnswer: -394 - 4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*f - 467 + 500. Solve m + 5*t - 16 = -f*m, 10 = -2*m + 2*t for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-206 - 2)*(-42)\/24. Let y = 490 + f. Does 19 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.04894 less than -0.03?\nAnswer: 61.01894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 12\/11, 13, 4, 16, -5?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.539311 + 1.119454. Let s = w + -0.58. What is s rounded to five decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, w: 5}. Give prob of sequence cc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-99)\/6)\/((-3)\/(-8)). Let r = 3630 + -3573. Let q = r + g. Calculate the greatest common divisor of q and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 193414090 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 + 0 - (11 - 3). Let c(s) = 340*s**2 + 4*s + 3. List the prime factors of c(g).\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4010 is divided by 109?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -66a37 (base 14) to base 15\nAnswer: -4db7e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 35.854*0.3\nAnswer: 10.7562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**2 + 28 - 28.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7418112 and 1161631.9.\nAnswer: 8579743.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 256791806?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*u - 16, -16 = -4*u - 0*p - 4*p. Let n be (-162)\/(-30) + u\/(-10). Let c(b) = 15*b - 19*b - b**3 + 7*b**2 - b**2 + 2. Calculate c(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2101119 + 1?\nAnswer: 210111a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7512 * -3.\nAnswer: -2.2536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.01585 - 2602810147\nAnswer: -2602810146.98415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 2*b**2 + 3*b - 4. Let a be n(2). Suppose a*i + 294 = -4*i. Let y = -49 - i. Solve -2*m + 26 = -4*h, 2*h + y - 2 = -4*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/66 and -19\/376.\nAnswer: 12408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnceoncuesucnsscusu. Give prob of sequence ue.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 11616677, -1, 5 in decreasing order.\nAnswer: 11616677, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o. Let d be v(2). Let u = d - 1. Let w = -20843 + 20838. Which is the second smallest value? (a) u (b) w (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -258, 2\/19, 1\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 19*i**3 - 15*i**3 + 2*i**2 + 2*i - 1 to b*i + a + k*i**2 + c*i**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*4*(3 + -3*(0 + 3*sqrt(128)))*6)**2.\nAnswer: -8957952*sqrt(2) + 215177472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -1.729, 70, 0.3 in descending order.\nAnswer: 70, 0.5, 0.3, -1.729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0)**(-46)\/(x*x**(2\/5)*x**3*x)*((x*x\/(x**(-4\/5)\/x))\/x)\/x*x*x\/(x**(-1\/6)*x*x)*x\/(x*x**(2\/13)*x)*x**(-6)\/x assuming x is positive.\nAnswer: x**(-4519\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a minute in milliseconds?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/5 in 99524, -1\/9, 5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/400 and -139\/300.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(sqrt(20)\/(sqrt(8)\/sqrt(2)) + sqrt(5)) - (sqrt(2057) + 2 + -3).\nAnswer: -21*sqrt(17)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -38*p - 412. Let b be z(-11). Solve -b = -104*h + 105*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 r when three letters picked without replacement from {h: 1, r: 5, x: 4}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0233803 to 3 decimal places.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -10. Let c = t + -0.05. Let o = -0.25 + c. What is the third biggest value in 0.1, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 12255\nAnswer: -2451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -8*q. Suppose 8 = -z + 8. Let u(l) = 9*l + z*l - 4*l - 2*l. What is p(u(w))?\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*i)*(-i**3 - 2*i**3 + 2*i**3)*(6 - 14 - 18) as b + o*i**3 + j*i + a*i**4 + m*i**2 and give a.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -434675 (base 8) in base 9?\nAnswer: -242058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 211023110 (base 4) in base 9?\nAnswer: 251785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15811 rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k - c + 11, -2*k + 19 = -5*k + 4*c for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 7) + 12 + -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b\/b**(1\/40)*(b\/(b\/(b**(15\/7)*b)))\/b assuming b is positive.\nAnswer: b**(1153\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -761297\/9386802 - 7\/12566. Calculate the common denominator of -17\/415 and n.\nAnswer: 3735","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4228 is divided by 611?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 25, 2, -19 in increasing order.\nAnswer: -19, -4, 2, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**6\/30 - a**4\/4 - a**3 - 13*a**2. Let j(l) be the first derivative of q(l). Differentiate j(d) wrt d.\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 7*u + 24. Let k(w) = w**3 + 6*w**2 - 2*w - 8. Let f be k(u). Solve j + f = -3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + j**2. Let q(i) be the first derivative of -7*i**4\/4 + i**3 + 6*i - 2741. Calculate -3*d(r) + q(r).\nAnswer: -4*r**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1276747.55 to the nearest ten thousand.\nAnswer: -1280000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*w - 1 + 247*w - 138*w.\nAnswer: -30*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 11*o**2 + 45*o - 46. Let w be j(-5). Solve -7 = -3*y + 2*h, 0 = -w*y - 5*h + 8 + 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddfdjfsrdddj. Give prob of picking 1 s and 1 r.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1754, 3, 4, -3, -2 in ascending order.\nAnswer: -1754, -3, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**3 - 71*o**2 + 31*o - 109. Determine a(-36).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 11*l - 918 + 953 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 4*s - 15. What are the prime factors of (21\/7)\/((-1)\/s)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b**2 - 19 - b + b - b + 13*b. Let c(u) = -4*u**2 - 12*u + 18. Let x(y) = -6*c(y) - 5*m(y). What is the tens digit of x(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of 0*r - 1\/8*r**4 - 3*r**2 - 1\/120*r**6 + 1\/10*r**5 + 0 - 2\/3*r**3. Calculate the remainder when 47 is divided by c(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(360)\/sqrt(160))\/(3*sqrt(108))*2)**2.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*a + 104 = -3*z + 237*a, a - 132 = 4*z + 2*a for z.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.16775 + -0.167709872. What is x rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 161 + -126. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**4\/24 - 23*n**3\/12 - 11*n**2\/2 + 485*n - 2. Determine q, given that a(q) = 0.\nAnswer: -22, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/156 + (-193)\/(-1158).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(12)\/sqrt(4)*4.\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 6849*m + 109584. Give b(-16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 102*n - 23566. What is o(231)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13506 + -3954. Calculate the greatest common divisor of v and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4533.65098 rounded to the nearest one hundred?\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 3 - 3)*(b + 7 - 3*b + 0)*(-3 - 2*b + 3).\nAnswer: -4*b**3 + 14*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/(-20)*-2)\/((-3408)\/11360).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 445 or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 5*y - 45, -3*y = -4*b + y - 12. Let m be ((-2)\/b)\/(5\/(-30)). Let c(a) = 3*a**2 - 3*a + 3. Let k(v) = -3*v**2 + 2*v - 2. Give m*c(t) - 3*k(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 + 160*j + 675.\nAnswer: 5*(j + 5)*(j + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g - 6. Let k be u(4). Suppose -4*v - 2*f + 6 = 0, -k*v + 9 = -v - 2*f. Suppose v*y + 1087 = 5*x, 827 + 232 = 5*x + 4*y. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 551671.2 millennia to decades.\nAnswer: 55167120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1552221 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2194665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (521 + 518 + 342 - 102 + 382)*(3*d**3 + 0*d**3 - 4*d**3).\nAnswer: -1661*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/22 and 1 - (3 + (-63)\/(-12)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2. Let w(z) = -35 + 2*z + 35. Determine l(w(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 43 + 33. Suppose -g + 345 = c*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-22)*11\/((-396)\/24)*-2\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 11.2. Sort -4, 4, 0.3, r in increasing order.\nAnswer: -4, r, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 776344962 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 22521\nAnswer: 6756.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10867*i + 31568 with respect to i.\nAnswer: 10867","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 53 - -213?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1637 - -0.0163. Which is the third biggest value? (a) l (b) -3 (c) 0.09 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -40?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 8*t - 3. Let n be k(-3). Solve 32 = -4*c + 6*l - 2*l, -l - n = 4*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -8*z**2 + 6*z. Let d(i) = -17*i**2 + 13*i. Let g(h) = 6*d(h) - 13*u(h). Let q be (-1 + 2)\/(2\/4). Let v(b) = 3*b - 3*b + q*b. Give g(v(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 352 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-2))\/3 - 1. Let n = -37952 + 1973421\/52. Let q = n + 24\/13. Which is the third biggest value? (a) q (b) 0 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5472000 to the nearest 100000.\nAnswer: 5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/7 (b) 516 (c) -450 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -1723*r**2 - 18*r + 6. Let u(k) = -551359*k**2 - 5757*k + 1919. Determine -6*u(n) + 1919*x(n).\nAnswer: 1717*n**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 1:22 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 440347 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1 + sqrt(19) + -4)**2 + sqrt(133)\/sqrt(63)).\nAnswer: -17*sqrt(19)\/3 + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dhqj when four letters picked without replacement from {r: 2, h: 1, q: 1, z: 1, j: 3, d: 1}.\nAnswer: 1\/1008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - l + 2*h + 6, 5*l = -5*h + 20. Solve l*f + 6 = -0*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*k**5 - 13782*k**4 - 147663*k**3 - 515436*k**2 - 544656*k + 130752 = 0. What is k?\nAnswer: -908, -4, -3, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwwi when four letters picked without replacement from {i: 5, w: 5}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -3*c + 7, i - 3*i = -4*c + 6 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**3\/q*q*q**(-1\/9)*q**0*q\/q**4*(q**8*q**8\/q)\/(q**(-1)\/q*q\/(q\/q**(-1))) assuming q is positive.\nAnswer: q**(161\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 2*w - 1 = -5*q - 3, -10*q + 9*q + 22 = -20*q + 3*w for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 339\/42 - 7 - 3\/(-7). What is the second smallest value in w, -1\/3, 0.5, 1\/16?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-882)\/(-15) + 1\/5 + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -6*f - 237. Let k = f - -43. Suppose 5*s**3 + k*s**2 + 3*s**3 - 2*s**4 - 8*s**2 = 0. What is s?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2113546*q + 1056931*q + 1056615*q - 2*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -312144 - -223?\nAnswer: -311521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f**5 - 30*f**3 - 46*f**2 - 2 wrt f?\nAnswer: -120*f**2 - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*w + w = -203 + 75 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b + 22. Let v be w(8). Suppose -30 = -v*u + 978. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.4 - 2. Let g = 0.4 - c. Let y = -1\/12 + -1\/4. Sort g, y, -3.\nAnswer: -3, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*j**3 + 5*j**5 - 12*j**5 + 5*j**5 + (-5*j + 0*j + 6*j)*(-j**4 - j**4 + 4*j**4) - 3*j**2 + 3*j**2 - j**5 - 2*j**5 + 14*j**5 - 2*j**5.\nAnswer: 9*j**5 - 12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-34)\/7 - (-3)\/(-21). Let s be (-2999)\/3 - j\/(-15). What is s rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 - 7 = k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-25)*(-90)\/(-351))\/(((-4)\/(-403))\/(-2)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -15*q + 21. Let v(l) = -7*l + 10. Let g(j) = 13*v(j) - 6*w(j). Let i(n) = -n**3 + 4*n**2 - 3*n - 1. Let f be i(3). Let b = f - -7. Give g(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 674159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 8*t + 42. What are the prime factors of 1*t*(-8 - -10)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 2*d. Suppose g - t + 3*t + 25 = d, -5*g - 3*t = 111. Let v be 2\/(-7) - 12\/g. What is the closest to 1\/2 in 3\/8, -4, v?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -16*n. Let v(x) = x**2 + 3660. Calculate v(s(f)).\nAnswer: 256*f**2 + 3660","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -14*n**7\/45 + 7*n**6\/5 - 109*n**5\/45 + 2*n**4 - 8*n**3\/9 - n**2. Factor a(r).\nAnswer: -4*(r - 1)**2*(7*r - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 9*t + 25. What is g(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -1, 5, -0.5 in ascending order.\nAnswer: -1, -0.5, -2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11149*v + 11148*v = 5*n - 50, -165*n + 1510 = 5*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -123 - -172. Let u be ((-357)\/v - -3)\/(4\/(-14)). What is the greatest common divisor of 1185 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 0) + 64\/(-576)*204?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 233279746*c**2 + 423460713.\nAnswer: 466559492*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16300622*j**2 - 9341192*j.\nAnswer: 32601244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + o + 0)*(4*o**2 - 3*o**2 - 3*o**2) + (8*o + 3*o**2 - 8*o)*(-2 + o + 2).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 179, -1\/2, 0.02, 1\/11?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 50b - -2c5c?\nAnswer: 346a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fqffffffffczfzf. What is prob of picking 1 c and 1 q?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 2\/294460349?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 a factor of 1204564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**4\/19 - 2408*k**3\/19 - 2406*k**2\/19.\nAnswer: -2*k**2*(k + 1)*(k + 1203)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13135500 by -364875.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5888b (base 12) to base 6\nAnswer: 2313455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.03 (b) 63 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19967, 38785, 56455, 72977, 88351, 102577, 115655?\nAnswer: 127585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 168 and 12222?\nAnswer: 48888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -4 (c) -7\/5 (d) 9 (e) -402 (f) 3 (g) -0.21\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1167*y - 2326*y - y**2 + 1159*y.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-1 + -2 + -2 - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -5*a + 19, -134*p - 12*a + 23 = -121*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/18*(-25)\/((-450)\/24). Let t = -0.5 - -0.9. Let f = 0.8 - t. Sort f, 1\/4, g.\nAnswer: g, 1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7\/40 + -19\/120. Let f be 4\/14 + 58\/(-56). Let l be (0 - 0) + (-1)\/(-4). Put l, s, f in decreasing order.\nAnswer: l, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tzo when three letters picked without replacement from {l: 1, a: 3, z: 3, f: 2, o: 1, t: 2}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 48*i - 166.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 - 49a7?\nAnswer: -49b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 703.\nAnswer: 1\/703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 366863166?\nAnswer: 366863165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exouruueuruu. What is prob of picking 2 r?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-3\/17)*n*n**(-1\/5)\/n*(n**(2\/7))**4 assuming n is positive.\nAnswer: n**(456\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5 + 4 = 0. Let r be 2533\/(-7) - c\/7. Let g be (-6)\/9 - r\/3. What is the greatest common factor of 12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -5*s**4\/6 - 7*s**3\/6 + 7*s**2\/2 - 40*s - 1. Suppose -2 = 5*x - 27. Let q(w) = 7*w**2 + 5*w - 5. What is x*d(z) + 7*q(z)?\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 53*w**2 + w. List the prime factors of k(-1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + f - 3*f)*(2 - 4 + 1) + (0*f - f + 3*f)*(0 + 3 - 5) + 4 - 2*f - 4 + (1 - 1 - 2*f)*(5 + 0 - 4) - 1 + f + 1.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 52 - 41600*o + 18 + 41611*o in the form f*o + t and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3 - 10*t**2 - t**2 + 12*t**2. Let b(p) = 4*p**2 - 10. What is -3*b(m) + 10*u(m)?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 - -3) + 0 + 14. Let v = z - -2. Calculate the highest common factor of 104 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3373\/38 < 90?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 4*o**2 + 2*o + 4. Let i be k(0). Suppose -774 = -3*p - i*n + 846, 1620 = 3*p - 5*n. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15618501 divided by 256041.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 126*a - 63*a + 50*a + 46 + 15*a**2. Let u(c) = 15*c**2 + 115*c + 45. Let l(g) = 5*o(g) - 6*u(g). Factor l(k).\nAnswer: -5*(k + 8)*(3*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9400)\/(-2585)*(-3)\/(-12).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 613.6855 litres in millilitres?\nAnswer: 613685.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -37 + -51?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 1*(3 + -2). Let x(w) = -5 + w**z + 1 + 3. Let r be x(1). What is r rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 7*p - 10. Let d be p*10\/8*2. What is the third derivative of 6*v**5 + 2*v**d + 3*v**2 + 5*v**2 wrt v?\nAnswer: 480*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13*3\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 69 + 28. Let o = t - 96. What is the second smallest value in -0.5, o, -3\/14?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/61875 and -157\/6600.\nAnswer: 495000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*h + 7 = -50*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b. Let q(h) = -h**3 + 3*h**2 + 7*h - 6. Let x be q(4). Let c be g(x). Suppose c = -3*m, -2*o + 3*m = 7 - 27. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59.1 + -58. Is -2\/7 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 14*x - 7. Calculate c(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 653067949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.24 and 882710?\nAnswer: -211850.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-1)*(12 - 13). What is the third smallest value in 1\/5, s, 1, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168\/4 + 2 + 15\/5 - (-176 - -175)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -5*h**4 + 360*h**3 + 1085*h**2 - 24180*h - 99900 = 0.\nAnswer: -6, -5, 9, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 3:31 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*a - 5*g - 20, 3 = 5*a + 4*g for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 15*l - 61. Suppose -v + 11 = n, -22 = -2*n + 4*v + 6. What is the hundreds digit of q(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooo when four letters picked without replacement from {o: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 2*r**3\/3 + r**2 - 12*r + 5. Factor w(y).\nAnswer: 2*(y - 2)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and -85.58?\nAnswer: 87.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**2\/3 - 64*g = 0.\nAnswer: 0, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1860 + -66955\/36. Let t = 25\/18 - g. Suppose 5*d = r - 11, 3*r - 12 + 3 = 3*d. Is r less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.18831437 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/16)\/x*x**(-1)\/x*(((x*(x\/x**0)\/x*x)\/x)\/x)\/(x\/(x*x**7)) assuming x is positive.\nAnswer: x**(65\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - a - 4*m = 4, 1 = -m. Suppose -4*k = -5*o - 151, 4*o - 1 - 3 = a. What is the least common multiple of k and 30?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i + 7. Let q be c(-5). Let v(n) = n + 2 + 5*n**q + 5*n - 4*n**2. Let l(p) = -3*p**3 - p**2. Let s be l(1). What is v(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 divided by 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*g - 2*j - 25, -g + 3*j = -6. Calculate the remainder when 14 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 36 = -4*c. Suppose -n - c + 6 = 0. Let r be ((-40)\/n)\/((-1)\/8550). What is r rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2565937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 1\/680 (c) -1\/69 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 6:02 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -64864.99 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17165?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 10560.\nAnswer: 10560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 2:48 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1603 = -2057*s - 5717 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 83 = -4*i + 3, -3*j + i = -91. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 + 34. Put -3, 3, v, -0.06 in ascending order.\nAnswer: -3, -0.06, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 629*i + 48. Let g(p) = 3144*p + 266. Calculate 11*a(l) - 2*g(l).\nAnswer: 631*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x - 2*j = -x - 3*x + 78, 2 = -3*j + 3 - 10 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -2*x**5\/15 - x**4\/6 + 2*x**3\/3 + x**2\/3 - 4*x\/3 - 164. Solve u(h) = 0 for h.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10422 and 9264?\nAnswer: 83376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 730\/47 - 40501\/2538. What is the common denominator of o and 92\/9*((-2165)\/(-80) + -9 - 18)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 82.46 to the nearest integer.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -205 and 8233633.\nAnswer: -1687894765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/6 + 10\/(-6). Let z be (12\/(-9))\/(u\/9). Suppose -z*c = -7*c - 151000000. Round c to the nearest one million.\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3798177 to the power of 1\/2, to the nearest integer?\nAnswer: 1949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 + 2*o + 2. Let i be s(-2). Let k(a) = 2*a + 6*a**2 - a**3 - 5 - a + 2. What is the units digit of k(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -281 * -298.7.\nAnswer: 83934.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2728111090?\nAnswer: 2, 5, 272811109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -96426.0221 rounded to the nearest 1000?\nAnswer: -96000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f*r**3 - 7*f*r**2 - 16*f - 1434*r**3 - 2*r**2 + 17 wrt r?\nAnswer: -6*f - 8604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - -5. Let t = 8.99997 - u. What is t rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 4*r - 2*r + (3 + 3 - 3)*(2 - 2 - r))*(-2*r - 2*r + 2*r).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 2:46 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 81*o + 4600. Let n be t(-118). What is the greatest common divisor of n and 2600?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4608 = 4*g + 4*m, 3*g + 3*m - 6*m - 3432 = 0. Suppose -43 = 5*r - g. Does 17 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -41*a**2 + 15751*a - 2399643 wrt a?\nAnswer: -82*a + 15751","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/5119 and 56\/5.\nAnswer: 25595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 8*t**2 - 8*t - 5. Let d be n(9). Suppose -4*o = 3*r - 241, -2*o + 6*r = d*r - 110. List the prime factors of o.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 31 + 3 + (-3 + 2 - 0). Calculate the greatest common divisor of k and 297.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t + 4 - 32. Suppose -t*v - v + 205 = 0. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-382)\/134 + -4*(-66)\/88. Which is bigger: -2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*h + 100*h + 180 - 588 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 + -45 - (-486)\/(-24).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 3110*c - 14 = -3108*c, -20 = -2*x + 4*c for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*d**2\/11 - 94*d\/11 + 92\/11.\nAnswer: 2*(d - 2)*(12*d - 23)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1110\/(-9) - 0)*108057\/(-362)?\nAnswer: 5, 37, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*y + 2*y**2 - 3*y**2 + 8*y**2.\nAnswer: 7*y**2 + 16*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.1, 0.1, 2\/5, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 339918212 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 378 and 12?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q + 1050 = 5*z + 7*q, 2*z + q = 438. Solve 35 = 221*p - z*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 - 33 + 37 - 8*d + 5.\nAnswer: -(d - 1)*(d + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hi when two letters picked without replacement from {i: 1, h: 2, r: 1, v: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**6\/720 - i**5\/120 - i**3\/3 + 2*i. Let u(p) be the second derivative of x(p). What is r in u(r) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 6 = 7*f. Suppose 0 = -f*l + l + 2. What is the highest common factor of l and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 6. Let h(n) = -3*n - 25. Let f(l) = 2*h(l) + 9*i(l). Let k = 1 + 1. List the prime factors of f(k).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1186*f - 2205*f + 546*f - 244*f.\nAnswer: -3089*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -100 - -102. Suppose -3*p - n + 1219 = 0, 4*n + 300 + 536 = m*p. What are the prime factors of p?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/18 and 163\/42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -79*i + 5*i**2 - 14*i**2 - 29*i + 10*i**2 + 8*i as j*i**2 + o + f*i and give f.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4017097821 a multiple of 1545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/2 + 979*p**3 - 958441*p**2\/2.\nAnswer: -p**2*(p - 979)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 22. Let z be 0 - (4\/b)\/(-2). What is the nearest to 0 in -3, z, 0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 547.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*i - 101 + 37 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45167*n**4 + 3600*n**2 - 3 wrt n?\nAnswer: 1084008*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4232034 to the nearest integer?\nAnswer: 2057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5*h**2 + 2*h. Let f be u(4). Suppose -42*g + 51*g - 99 = 0. What is the highest common factor of f and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - n = 3*b - 128, -4*n + 34 = b. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -28.440195 and -81?\nAnswer: 52.559805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 538417 + 444238331\nAnswer: 444776748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 397524, 795046, 1192568, 1590090?\n\"Answer: 397522*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -3 - (18 + -6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 + 0 + -3)*-4. Let u = b + -14. Let d = u - 13. Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**4 - 3*n**4 + 3*n**4 - n**4 + 3*n**3 - 3*n**3 + (-2 + 3 - 3)*(-2*n**4 + 5*n**4 - n**4) + 36*n**4 + 59*n**4 + 17*n**4 - 2*n**4 - 2*n**2 + 2*n**2.\nAnswer: 106*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from babaaa. Give prob of picking 4 a.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4*891\/(-216)*2\/(-3)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1174, -2355, -3536, -4717, -5898?\nAnswer: -7079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6626162162.\nAnswer: 2, 349, 9493069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 194*x + 3002. What is b(-17)?\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - 0. Let t(y) = -2*y**3 + 6*y**2 - 8*y + 8. Let f(n) = -n**2 + n - 1. Let j(l) = -8*f(l) - t(l). Calculate j(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 10*p**2 - 13*p + 93. Is t(24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1850869000?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 348 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0.5 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 182.\nAnswer: -3\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + 2)*4 - (sqrt(11) - (3 + sqrt(11)))*-2) + (sqrt(99)\/sqrt(576) + sqrt(11) - (sqrt(11) - (sqrt(44)\/sqrt(400) - sqrt(11)))).\nAnswer: 2 + 129*sqrt(11)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.27377 seconds to microseconds.\nAnswer: 14273770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -106, -103, -100, -97, -94, -91?\n\"Answer: 3*t - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2976 - 2988 = -3*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41\/71 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 41, 49, 57, 65?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12761, 12758, 12755?\n\"Answer: -3*k + 12764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37978, 49274, 60572, 71872, 83174?\nAnswer: 94478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 451, 474, 531, 634, 795?\nAnswer: 1026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1092103.6 rounded to the nearest ten thousand?\nAnswer: 1090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 14.86, 1, 2\/71, 2\/7?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**34\/(t\/(t\/(t\/(t**32\/t)*t)))*(t\/(t*t*t*t**1))**(-3\/8) assuming t is positive.\nAnswer: t**(513\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a century in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 55431*g. Let a(l) = -2*l. What is a(z(b))?\nAnswer: -110862*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6695\/(-103) + -74 - -97?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 10*x**2 - 11*x - 33. Is i(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u - 2. Let g(c) = -10*c + 4. Give -2*g(n) - 5*t(n).\nAnswer: -5*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 6*h - 3. What is g(-2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 13 = 2*w, 0 = -3*w - 2*y - 6 + 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4.282 times 5\nAnswer: -21.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16975b (base 14) in base 10?\nAnswer: 794469","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-70187)\/(-156) + (-1)\/(-12). Suppose 1836 = -447*m + h*m. Does 51 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, p: 1, c: 1, d: 1, h: 1}. Give prob of picking 1 c and 1 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7252, -14161, -21070, -27979, -34888?\nAnswer: -41797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**4\/4 + 11*o**3\/6 - 3*o**2\/2 + 2*o + 111. What is i(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1818\/23, -0.3, 2, -34\/21 in increasing order.\nAnswer: -1818\/23, -34\/21, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u = -2*r - 13, 44*r = 2*u + 30*r + 19*r + 48 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2338, 13, 5 in descending order.\nAnswer: 13, 5, -0.1, -2338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -604\nAnswer: -2\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-7 - -1) - -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -p - 1. Let k(v) = 2*v - 1. Let z be k(5). Let t be (32\/z)\/(-4)*3\/(-2). Is t greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 120*n**4*z + n**2*z**3 - 3*n - z**3 + 127*z**2 wrt n?\nAnswer: 1440*n**2*z + 2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3260*s - k = -3251*s + 25, -5*k - 80 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30425*g**3*j**2 - 262*g**3 - 993*g**2*j**2 + 2*g**2 + 40*g*j + 399*j wrt j?\nAnswer: -60850*g**3 - 1986*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of b**7\/6 - b**3\/3 + 8*b. What is the second derivative of y(c) wrt c?\nAnswer: 140*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6473526 divided by -5\nAnswer: -6473526\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130400392?\nAnswer: 2, 16300049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-6))\/(3 - 1). Which is the nearest to -2\/7? (a) x (b) 1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2320022 (base 4) to base 14.\nAnswer: -441c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46 - 35. Let y = -4 - -8. Calculate the least common multiple of y and v.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**2*l**3*t**2 - 2*g**2*t - 39372*g*l**3*t**2 - 2*g*l**3*t + l*t - 3184 wrt t?\nAnswer: 2*g**2*l**3 - 78744*g*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 39, 155, 389, 783, 1379, 2219?\nAnswer: 3345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 1 + 2 - 5)*(3 + 12 - 5).\nAnswer: 20*m - 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51220?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 3*a - 2*a)*(-2*a**4 + 2*a**3 - 2*a**3) - 73 + 4*a**5 + 73.\nAnswer: 2*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1648559.41 + 1648468.410117. Let y = -91 - c. Round y to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (33 - (4 + 35)) + 0 + 2 + 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11608 * -2.\nAnswer: -0.23216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 11. Let x(s) = -s**3 + 9*s**2 - 11*s + 7. List the prime factors of x(j).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112332 (base 4) to base 10\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 346 = 18*g - 2102. Calculate the greatest common divisor of g and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2304024 - 100?\nAnswer: 2303524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 190203, 190201, 190203, 190215, 190243, 190293, 190371?\nAnswer: 190483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(51)\/sqrt(3) + sqrt(17) + -3 - (sqrt(1700) + -1) - (-1*(sqrt(204) - (sqrt(204) - -2*sqrt(204)))\/sqrt(12))**2).\nAnswer: -72 - 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) -18564 (b) -5 (c) 6 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 78, 168, 300, 480, 714, 1008?\nAnswer: 1368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(320)*-2 + -3.\nAnswer: -16*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 312 + -13?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 924242476 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 12 = -3*x. Let i(c) = 1 + x*c**2 + c**2 - c + 6*c**2. What is the tens digit of i(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5*p - 70 = 0, -4*v - p + 4*p + 59 = 0. Which is the nearest to 2? (a) v (b) 5 (c) -3\/7 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6999*u - 7153*u = -154 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000141729 to 7 dps.\nAnswer: -0.0000142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-12) - 4450\/(-60). Let x = -64 + w. Calculate the remainder when x is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -32*h**2 + 3*h + 86. Let j be q(-13). Let v = -3704 - j. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-12)*20\/4*-3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.4688 to one decimal place.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -38*i - 5*i - 4*i - 16*i + 28*i. Let c(g) = -11*g**2. What is c(d(p))?\nAnswer: -13475*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 7*p - 9. Let n be x(7). Let k(h) = h**3 + 7*h**2 - 20*h + 4. Let i be k(n). Let g = i + 8. Solve 0*f - 2*f = 4*s - g, -f = -3*s + 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i - 4. Let y = 4 - 0. Let r be c(y). Solve 2*t + 6 = -r*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 66.38891 to 1 dp.\nAnswer: 66.4","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 669, 4004, 7339, 10674, 14009?\n\"Answer: 3335*y - 2666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -227 and -15161.\nAnswer: 3441547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-28)\/(-3))\/(1\/(4245\/29720) - 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -18727.0842 to the nearest ten.\nAnswer: -18730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.73451 - 18.88419. Round x to 0 dps.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*t**3 + 13*t**2 + 55*t**3 - 3*t**2 + 33*t**3.\nAnswer: 2*t**3 + 10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 460031 and 1573.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.135066 rounded to three decimal places?\nAnswer: -0.135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**5\/4 - 55*t**4 + 1047*t**3\/4 + 160907*t**2\/2 - 80660*t = 0. What is t?\nAnswer: -218, -40, 0, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*s - 28. Suppose 28 = 4*f - 6*f. Calculate the lowest common multiple of (-8)\/s + (-66)\/f and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1262*w**2 + 8870 - 8870)*(-2*w - 4*w + 5*w).\nAnswer: -1262*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 7. Let j = -54807 + 219229\/4. What is the smallest value in j, q, -1\/8, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 2156?\nAnswer: 2161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13773 divided by -4591?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 4\/9, -47595, -1\/2, -2.2?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -2*w**7\/735 - 3*w**6\/5 + 128*w**5\/35 - 193*w**4\/21 + 86*w**3\/7 - 4*w**2 - 2*w - 287. Find t such that d(t) = 0.\nAnswer: -129, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3\/((-30)\/2826*3)*-5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*x - 63984 = 102*x. Does 22 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/5014 and -11\/7.\nAnswer: 35098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 7*t**3 + 26*t**2 + 75*t - 70. Let d(w) = 9*w**3 + 35*w**2 + 99*w - 93. Let p(i) = -10*d(i) + 13*x(i). Calculate p(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-147)\/245 - 18\/(-5). Suppose s - 986 = -k*x, -16*s = 5*x - 17*s - 1630. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130 and 208?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -4*d**2 - 1\/12*d**4 + 0 + 0*d**3 + 6*d. Let s(v) be the first derivative of y(v). Let m(r) = -2*r**2. Give s(m(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3*6\/9)\/(-2). Let w(k) = k + 0 + j - 1. Let x(l) be the second derivative of -l**3\/6 - 2*l. Calculate x(w(p)).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 116 - ((1 - 3) + -17 + 30 + -25).\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -o**3\/3 + 3*o**2 + 3*o - 3. Let a be w(5). Suppose -3*k - k = -a. Calculate the lowest common multiple of 7 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2 + w**2 - 2*w**2 - 5*w + 3. Suppose 20 = -6*u + u. What is the remainder when 9 is divided by v(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636597385 to the power of 1\/2, to the nearest integer?\nAnswer: 25231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/64 and -57\/44.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 138\/(-14)*(6 + -5). Let f = 331\/35 + h. Let t = 0.69 - -5.31. Which is the closest to t? (a) -0.2 (b) f (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 28, 68, 134, 232, 368, 548, 778?\nAnswer: 1064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - -0.4. Let y = 704.3 + -704.2. Which is the closest to y? (a) j (b) 2 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.75 or 7?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9532.\nAnswer: 2, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 226229 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -1713*d**3 - 853*d. Let c(u) = 571*u**3 + 284*u. Let f(j) = -8*c(j) - 3*w(j). Find the second derivative of f(y) wrt y.\nAnswer: 3426*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 157, 1295, 4375, 10369, 20249, 34987, 55555, 82925?\nAnswer: 118069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a century?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -75 - -126. Let i = o - 20. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/16 + (-3)\/16*56\/(-252)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*a - 15*a - 16662. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - k - 12 = -2*a, -5*a - 5*k = -15. Let x be (a*-2)\/(2\/2). Let i = x - -32. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60649714?\nAnswer: 2, 73, 415409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/16*4\/12)\/(3\/24).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.183 times -4?\nAnswer: -0.732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12813409 * -0.3.\nAnswer: -3844022.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 203 = -4*h, 29 = h + 4*i - 43. Calculate the common denominator of (h\/(-12))\/((-80)\/(-105)) and -95\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1201012102 + -10012?\nAnswer: -1201022121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 (base 6) in base 5?\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2365885412 and 19048.\nAnswer: 9524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -478378810 divided by 9737\nAnswer: -49130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24789 - -25111. Calculate the remainder when 1291 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -450, -27, 4, 0, 21 in descending order.\nAnswer: 21, 4, 0, -27, -450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*n - 14*n - 102 = -3*g, -6*n = 5*g - 4*n - 173 for g.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.099 and -21.3?\nAnswer: 21.399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 6 = 3*x + 51, 0 = 3*g + 9. Let q = 17 + x. Let c(j) = -4*j + 3. What is the units digit of c(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 162338.\nAnswer: -1\/81169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 5)*1 - -7. Suppose -h + 2 = 5*n - 10, 2*n = x*h + 48. Let o(k) = -k**3 - 7*k**2 + 6*k + 6. What is the units digit of o(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-4*sqrt(245)*1*-4 - (-1*sqrt(245) + 5 + -1*(sqrt(245) + -1 + sqrt(245)))))**2*-1.\nAnswer: -88481 + 1596*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2154325 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 2 = m. Let g be (-14)\/6 + (-3)\/(-9). Sort -3, g, m in descending order.\nAnswer: m, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.54 - -40.603517041\nAnswer: 42.143517041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 6*x**2 + 2*x + 3. Let v(k) = -k**2 - k. Determine -g(d) - 5*v(d).\nAnswer: -d**2 + 3*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6879, -6790, -6645, -6438, -6163?\n\"Answer: r**3 + 22*r**2 + 16*r - 6918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -2\/9, 54, -1\/2, 58 in descending order.\nAnswer: 58, 54, 4, -2\/9, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 57258841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43.7823 - -2.3543. What is l rounded to zero dps?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 16*m**2 - 21*m + 98. Calculate g(15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 2*z = -2, -22*z = -2*x - 26*z - 10 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of 0*c + 1\/330*c**5 + 0 + 0*c**4 + 0*c**3 + 71*c**2. Factor n(t).\nAnswer: 2*t**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -5*f**2 + 2*f - 5. Suppose 10*r - 9 = 7*r. Suppose x + h - 2 = 0, 5*x - r*h - 46 = h. Let s(l) = 11*l**2 - 4*l + 11. What is x*s(v) + 13*t(v)?\nAnswer: v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4103273 is divided by 2365?\nAnswer: 2363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 135 and 565695.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122, 158, 194, 230, 266, 302?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 11 + 58 = 0. Calculate the remainder when o is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/3)\/(g**(-2\/11)\/g))\/(g**(2\/9)*g\/((((g*g\/(g\/(g\/(g\/(g*g*g**(2\/15))*g*g))))\/g)\/g)\/g*g)) assuming g is positive.\nAnswer: g**(-779\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**24*c)\/c**11)\/(c*c**(-1\/9)*c*c**(-10)) assuming c is positive.\nAnswer: c**(-224\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 7*k**2 - 3*k + 10. Let z(t) = -t**2 - 1. Let a(h) = v(h) + 6*z(h). What is the units digit of a(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence evv when three letters picked without replacement from {e: 4, v: 10}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 6 = 2*s - z, 2*s = -z + 2. Let r be -1 + (4 - (-3 + 5)) + 7. Let d(i) = -i**3 + 8*i**2 - 2*i + 19. Let f be d(r). Is s < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/14 + 75\/(-7). Suppose -5*l + 62 + 33 = 0. Let w = l + s. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 15, 31, -52, -5 in ascending order.\nAnswer: -52, -5, 3, 15, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - -568?\nAnswer: 567.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 15 = -2*d - 17, 4*l - 5*d - 68 = 0. Suppose -l = -12*s + 8*s. Solve -2*q + 25 = s*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.273367 + 72.725803. Let y = 77 - h. What is y rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 16 = -2. Determine o so that 1\/2*o - 1\/2*o**3 - 1 + o**w = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -17. Suppose -4*x = -y*x - 9. Let w(u) = -4*u + 1. What are the prime factors of w(x)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 + -0.3. Which is the nearest to g? (a) -3 (b) 2\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402 is divided by 70.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -4*n - 3*r - 11, 5*n + 5*r = 40. Let a be 4*(-12)\/8 - (n - 9). Solve 0 = 3*l, a = -2*y + l - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-2) - (-4 + 0 - -6). Suppose 14 = 4*c - 4*l + s, -1 = c - 5*l. Put -5, 1, c, 0 in decreasing order.\nAnswer: c, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 8*c - 16. Let o = 12 + -5. What is the units digit of d(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 + 4)*(-3*a + a + 3*a)*(29 + 34*a + 15 - 15*a - 36*a).\nAnswer: -136*a**2 + 352*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i**2 - 4*i. Let l(r) = 19*r**2 + 15*r. Let k(n) = 15*h(n) + 4*l(n). Let u(z) = 44*z**2. Determine u(k(b)).\nAnswer: 44*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(396) - sqrt(396)*-1*-2) + sqrt(396) - sqrt(396))\/(sqrt(240)\/sqrt(5)))\/(-1*(sqrt(3267) - -1*sqrt(3267)) + sqrt(3267)))**2.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -5*q**2 - 2 - 7*q - q**2 - 2. Suppose -4*i = -2 + 6. Let c(r) = -r**2 - r - 1. Determine i*k(t) + 5*c(t).\nAnswer: t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1610, -5, -3, -1795, 5, 0.7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a century in months?\nAnswer: 5100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.01 - 0.01. Let a be (2\/3)\/((-7)\/3). Let p = -0.2 + 0. What is the closest to m in -0.5, p, a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 399 and 264726.\nAnswer: 5029794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 12*x + 42. Give q(8).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 9:09 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - -6)*(3 - 2). Suppose -2*d = 14 - s. List the prime factors of ((-16)\/d)\/(14\/147).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-1)*q)**29*q*q\/q**(-2\/9)*q*q**(-15) assuming q is positive.\nAnswer: q**(677\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a*(a\/(a\/(a\/(a\/(a\/(a\/(a\/a**(-1\/2))))))))\/a)*a)**(2\/77)*a**(-15)\/(a*a\/a**(-2\/11)) assuming a is positive.\nAnswer: a**(-1324\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/((-55)\/(-154)) - -119013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -71888071*t**4 - 15867*t + 567 wrt t?\nAnswer: -862656852*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1151 + 787. Let d = -182 - n. Calculate the remainder when d is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 28781, 57577, 86373, 115169, 143965?\n\"Answer: 28796*n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22393 and 22?\nAnswer: -492646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 75.6 * 439.\nAnswer: 33188.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1010.19 to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times 0.051\nAnswer: -0.00051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*s - 981 + 70*s + 71*s.\nAnswer: -2*s - 981","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 48 = -4*p. Let t(m) = m**2 - 4*m - 8. Give t(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 196 + -128. Suppose -t = 3*t - y. Suppose -k + 62 + 6 = 0. Calculate the highest common factor of k and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g. Let v = 32 + -28. Suppose -t = t - 2. Let u(d) = 7*d + 4. Let j(n) = -1. Let s(r) = t*u(r) + v*j(r). What is z(s(c))?\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18705.2 rounded to the nearest 100?\nAnswer: 18700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 6:48 AM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -77.93 - -73.93. What is the nearest to 512 in m, -0.3, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + k - 3*k)*(0 + 8 + 6)*((6*k**3 - 3*k**3 + 0*k**3)*(-2 - k + 2) + (2*k - k - 2*k)*(2*k**3 + k - k) + 9*k**4 - 8*k**4 + 34*k**4).\nAnswer: -840*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -1\/3*h**3 + 0 + 1\/6*h**4 + h - 9\/2*h**2. What is the remainder when t(-5) is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c + 15 = 6. What are the prime factors of ((-57 - c) + 0)\/(18\/(-63))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 794543 - -426.53?\nAnswer: 794969.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -10858*p + 5092384. Determine r(469).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 6. Let m = w + -2.9. Let b = 0.0999999 - m. Round b to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7132 (base 9) in base 10?\nAnswer: -5213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 197 - 97. Let p be b\/15 + 2\/6. Does 12 divide (18\/p)\/((-1)\/(-7))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*p + 4 = 0. Let i(c) be the third derivative of -1\/120*c**5 + 0*c + 0 + 0*c**3 + c**p + 0*c**4. Factor i(r).\nAnswer: -r**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of 13*g**5\/60 - 2*g**2 - 19*g. Let s(j) be the second derivative of 0 + 0*j**2 - 1\/6*j**3 + 8*j. Calculate w(s(z)).\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8336 + -8294. Let v = -8 - -11. Let f = t - v. Is 39 less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 86504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 1 + 5. Let z be (-1*u)\/((-3)\/2). Let o be z\/(2 + (-8)\/2). Is -3 <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-15)\/6 - -3)*26\/65. Which is the closest to d? (a) -2\/3 (b) 0.5 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*w = 16*w - 140 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-86)\/7 + 4\/14. Let k be -6*((-40)\/z)\/5. Let j = k + 2. What is the biggest value in j, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + -1.3. Let n = -39 - -22. Let t = 18 + n. Put 0.5, t, p in ascending order.\nAnswer: p, 0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -161*j**2 - 1614*j - 33. What is m(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/8*(-10*(-5)\/45)\/((-815)\/978)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 110 and 59763231.\nAnswer: 597632310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*2*sqrt(13) + (2*sqrt(143))\/sqrt(11) + ((2 + sqrt(13) + -2 + sqrt(13))*3)**2.\nAnswer: 6*sqrt(13) + 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31\/4 + 8. Let h be 1\/(6\/(-8)) + 613\/3. Let d be (-1)\/1*58\/h. Put a, d, -1 in increasing order.\nAnswer: -1, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2058 is divided by 293.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*h - 2 = -14, h = 4*w - 12. Let l(v) = 3*v**2 - 12*v - 2*v**2 - 1 + 7 + 9*v. Is 3 a factor of l(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6434.27 to the nearest 10.\nAnswer: 6430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 5:28 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3*k = 66. What are the prime factors of k?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -417 (base 15) to base 6.\nAnswer: -4134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -135, 2, -114, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 52302965*a**3*l**3 + 6*a**2*l**3 - 90*a**2*l - a*l - 2*l**3 - 397 wrt a.\nAnswer: 313817790*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y - 16*y - 5 = 0, 4*y - 4 = 2*w. Let u = -8 - -13. Solve 17 = u*r - w for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.006 (b) 5 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 128*x + 3505. Calculate r(88).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 22 = -2*a, 7 = 2*f - 0*a + 5*a. Calculate the least common multiple of f and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 706, -4, -2 in ascending order.\nAnswer: -4, -2, 4, 706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5*h**2. Let v(i) = 2201*i - 59. Give v(n(q)).\nAnswer: -11005*q**2 - 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q**9\/15120 - q**8\/8400 - 2*q**3\/3 - 4*q. Let l(s) be the second derivative of u(s). Suppose l(c) = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 372 (base 10) to base 3\nAnswer: 111210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9797138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 410153, 410155, 410157?\n\"Answer: 2*a + 410151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.41? (a) -1\/4 (b) 2\/9 (c) -28\/15 (d) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3500835728?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -10101 (base 3) to base 6\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -12763.\nAnswer: 5105.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -2\/7, 1\/5, 3 in decreasing order.\nAnswer: 3, 1\/5, -2\/7, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.23533 meters to millimeters.\nAnswer: 80235.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*m + 4*m + 7 = 2*r - 12*m, 16*r - 14*r + 5*m = 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/534 and 31\/50828167.\nAnswer: 304969002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 403014.7l?\nAnswer: 403014700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10 + 9)\/(2\/(-10)). Suppose -12 = -2*g + g + 2*x, y*x + 15 = -5*g. Let m = g + 4. Solve 0 = -v - 4*u + 12, -3*u = 3*v - u - m for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -104*a**4 + 7*a**2 + 33 wrt a?\nAnswer: -2496*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - k + 1. Let p(x) = -4*x**2 - 8*x + 11. Give -2*g(m) + p(m).\nAnswer: -2*m**2 - 6*m + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27276874199.99985 - -27277483788. Let i = h + -609603. Let o = 15 + i. Round o to 5 dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*g + 6*g. Suppose 3*h - 63 - 18 = 0. Calculate the common denominator of ((-14)\/(-32))\/(g\/(-14)) and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**3 + 41*a**2 - 132*a + 10. What is the remainder when d(-23) is divided by 54?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191879*m + 192210*m - 18536 = 0 for m.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 4) to base 14\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16794 + 5509. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x - 11*x**2 + 5*x**3 - 3*x**3 - 16 - 12*x**3. Let c(y) = 2*y**3 + 2*y**2 + 3. Let p(n) = -11*c(n) - 2*i(n). Let f = 11 - 12. Determine p(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7304 + -29217\/4. Is -162.3 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*j**3 - j**3 + j**2 - 2*j**2 + 32*j - 8*j**3 in the form l*j**2 + x*j**3 + i + y*j and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 440 + 740 = 0. Does 21 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1110592*w**2 + 4*w**3 - 2221179*w**2 - 26*w + 1110589*w**2.\nAnswer: 4*w**3 + 2*w**2 - 26*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 3:17 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1022100120002 (base 3) in base 16?\nAnswer: -a9e41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8666.92575 - -8692.92574882. Let z = h - 26. Round z to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven eighths of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 1102, 11, 5, -4 in ascending order.\nAnswer: -4, -2, -1, 5, 11, 1102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**13\/j)\/j)\/(j\/(j\/(j\/j**5))))**(-44)\/(j**1*j*j*j\/j**(2\/9)*(j**1)**(-22)) assuming j is positive.\nAnswer: j**(-5776\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 0.3 (c) 70 (d) 0 (e) -0.3 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 7*l + 22. Let j be z(-15). Let d = 130 + j. Find the common denominator of -38\/13 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d - d - 3*d)*(-2*d**2 + 5*d**2 - 5*d**2)*(8 - 8 + 18*d**2).\nAnswer: -36*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 309559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140601055?\nAnswer: 5, 7, 4017173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 22*q - 35. What is the first derivative of -126 - 38 - 12*s**q + 6*s**2 + 30 wrt s?\nAnswer: -36*s**2 + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 5*s**2 - 34*s. Let o(q) = -12*q**2 + 68*q. Determine 2*o(b) + 5*v(b).\nAnswer: b**2 - 34*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.07, -3\/2, -30, 0, -4843?\nAnswer: -4843","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 67 = -3*o, -3*o - 2*z - 16 = 27. Find the common denominator of -47\/2 and 110\/4 + (-34)\/o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (0 - (29 + -1) - (479 - 488) - -12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 10*i - 17. Let x be a(-2). Which is bigger: -46 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1888 is divided by 56?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 66901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 217214 and 1340.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152007999.\nAnswer: 3, 11, 13, 17, 19, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 + 35. Let b = -27.2 + 26. Let n = 1 + b. What is the nearest to q in n, -4\/9, -3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 42, 71, 100, 129?\n\"Answer: 29*w + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (197 - 9*w - 405 + 173 - 6*w + 4*w + 3*w + (4 - 1 - 4)*(-w - 4*w + 3*w))*(w + 0*w + w) to the form p + z*w**2 + b*w and give b.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b + 78. Let n be x(0). Suppose -n = 5*y + 5*s - 18, 6 = -y + 2*s. Let l = y - -16. Calculate the remainder when 11 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/3*1*9\/(-6). Suppose -s = -2*y + 4. Suppose -y*r - 54 = 3*m, 2*r - 5*m + 25 = -15. Which is smaller: r or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**2\/7 + 494*k\/7 - 17544\/7 = 0 for k.\nAnswer: 43, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - a - 1. Let b be 3*(1 - 2)*-1. Suppose j + b = 5*n - 3, 2*j + 3*n + 12 = 0. Let o be (-3)\/2*(-4)\/j. Determine s(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*l - 49 + 413 = 0 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 172.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*o = -28. Let q(k) be the third derivative of -1\/30*k**5 - 5\/48*k**o + 4*k**2 - 1\/6*k**3 - 1\/240*k**6 + 0*k + 0. Factor q(s).\nAnswer: -(s + 1)**2*(s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -1511*b**6\/30 - 989*b**2 - 144*b. What is the derivative of p(q) wrt q?\nAnswer: -6044*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4.249 from -34.\nAnswer: -29.751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -308 - 200?\nAnswer: -508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -124*v**5 - 39*v**4 - 4883*v wrt v.\nAnswer: -2480*v**3 - 468*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 568 - 566. Solve -2*v - 5*j + 11 = v, -v - p = -4*j for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -34893 - -2?\nAnswer: -34891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 2*b - 1550 = -5*x, -b - x + 778 = 0. Round b to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 101 = 26*t - 25*t, 43 = 2*i + 3*t. Solve i*o = 8*o + 10*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 1515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l. Let i(w) = -21*w**2. Determine i(q(c)).\nAnswer: -84*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 227566739 != 227566738?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1619, -1791, -1963?\n\"Answer: -172*n - 1447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 24, 0.191, 3\/2, 2 in descending order.\nAnswer: 24, 2, 3\/2, 0.191, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*a**2 - 17*a**2 - 15*a + 15*a.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2012 divide 107869356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -6, 0.07984, 0.01, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 496*u - 9420. Give n(19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0369732555 to 5 dps.\nAnswer: -0.03697","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1))**39*f**(-6)*f\/(f**(-7)*f*f))**(4\/7) assuming f is positive.\nAnswer: f**(-156\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 636 by -212.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44612 - 355247 = 4779*a for a.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -7*h**4 + 57*h**3 + 9*h**2 - 177*h + 114. Let q(y) = -2*y**4. Let n(x) = 2*q(x) - t(x). Factor n(f).\nAnswer: 3*(f - 19)*(f - 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2770951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*x - 615 = 1218*d - 1216*d, 2*d = -4*x + 110 for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = r + 33. Let u(t) = t**3 + 15*t**2 + 17*t + 71. Let c be u(-14). Calculate the highest common divisor of c and r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -81018\nAnswer: 162036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 8:12 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 = -25*n - 20 + 85 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + 7. Let b be n(-5). Differentiate 8*g**b + 0*g**2 - 6*g**2 - 4 wrt g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 6*u**2 + 13*u - 7. Let l be i(-8). Factor l + 41 - 4*n**3 - 36*n**2 - 60*n + 16 + 26.\nAnswer: -4*(n - 1)*(n + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -14*r**2. Let u(f) = 4*f - 1. Let v = -33 + 37. Let p(c) = 15*c - 4. Let t(n) = v*u(n) - p(n). Give t(x(i)).\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n**3 - 2*n**2 + 2*n - 1. Let z be g(1). Suppose q + 2*q + 2 = 2*m, -4 = 4*q - z*m. Suppose -q*x + 48 = 2*x. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53 (base 15) to base 2.\nAnswer: -1001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**13)**(11\/4) assuming z is positive.\nAnswer: z**(143\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21376*j**4*z**2 + 2*j*z**2 - j*z + 189*j wrt j.\nAnswer: 256512*j**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*z - 24*z + 6 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -4, 1\/6, -9 in descending order.\nAnswer: 1\/6, -1\/2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-3))\/(1\/(-3)). Let m = w + 4. Let v = -425\/12123 + 49\/449. Is m <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 9 - 2 = 0. Let l be 4\/(-14) - 23\/w. Suppose -l*m = -7*m + 80. Does 8 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/36 - 29\/(-6). Suppose 0 = 3*c - g*c + 10. Let b be (-4)\/38 - (3 + 154\/(-19)). What is the greatest common factor of c and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 61?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 294\/196*4\/(-15)*10\/148.\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 1. Let w be -6 - -4 - (2 + -6 + 2). Suppose w*r - 2*r + 10 = u. Solve p = -2*o + r*p - 22, -4*o = 3*p for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -196 - -1175\/6. What is the nearest to 33 in 4\/5, -0.2, c?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5094768 divided by -24\nAnswer: 212282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 300742 and 507?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 6*s**2 - 7*s + 9. Let d be a(7). Let n(k) = k**3 - 10*k**2 + 8*k + 11. Let q be n(d). Solve -3*p + q*l + 14 = -1, 0 = -3*l for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c + 7*c - 8771*c**2 + 3250*c**2 - 3*c - 2589*c**2 as k*c**2 + b + t*c and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 2 + 0*x - 4*x)*(-3 + 3 - 1).\nAnswer: 8*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2644 + 2691. What are the prime factors of b?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3557*c + 169798 = -61407 for c.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 959013 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 982.5959 centimeters?\nAnswer: 0.009825959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*q**3 - 15*q**3 - 11*q**3 + 47*q**3 + 3*q**4 + 31 + q**2 to the form f*q**4 + r + y*q**3 + w*q**2 + p*q and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dhdg when four letters picked without replacement from hidyyyddgduydy.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*i + 2 = -2*w, -5*i - w = -17. Solve -3*t - 2*b - 2 = 0, i*t - 4*b + 18 = b for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7d - -37?\nAnswer: b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 1044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*g**2*i + 4372*g**2 + g*i**3 - 2739*i**3 - 4 wrt i.\nAnswer: -3*g**2 + 3*g*i**2 - 8217*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 + s**3 - 3*s**2)*(38*s**2 + 23*s**2 - 23*s**2).\nAnswer: 38*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -87775780 rounded to the nearest one hundred thousand?\nAnswer: -87800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j. Suppose 3*i + 4 - 7 = 0. What are the prime factors of w(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*4\/(-50)*37\/(444\/45)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1322*o**2 + 3*o - 294 + 1326*o**2 - 3*o - 2639*o**2.\nAnswer: 9*o**2 - 294","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.999 and -0.33?\nAnswer: 0.32967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -7*z**3 + 6*z**2 - 2*z. Let d(r) = -14*r**3 + 11*r**2 - 4*r. What is 6*d(q) - 11*t(q)?\nAnswer: -7*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -4*b + 72. Suppose -4*i = i - 4*d - 15, 3*i - 2*d - b = 0. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 6:43 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o\/(((o\/(o\/(o**1*o)))\/o*o*o)\/o*o))*o*o)**(-5)\/(((o**2\/o*o)\/o)\/(o\/o**3))*((o\/(o\/(o**0*o))*o*o)**(-8\/9))**24 assuming o is positive.\nAnswer: o**(-97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d**2 - 4*d - d**2 - d + 7*d.\nAnswer: 5*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.139115 kilometers to micrometers.\nAnswer: 5139115000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2101, 4 in increasing order.\nAnswer: -2, 4, 2101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a - 11. Let x be u(3). Do x and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -11*g**2 + 112*g + 64. Let c(i) = 34*i**2 - 336*i - 176. Calculate 11*a(t) + 4*c(t).\nAnswer: 15*t**2 - 112*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 12:19 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5 - -10) + 428\/4.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 56, -8, 0.4?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*z**3 + 2*z + 14*z**3 - 2*z**4 - 2 - 4*z - 2*z**2 as q*z + h*z**3 + l*z**4 + p*z**2 + o and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2418804 (base 9) to base 15.\nAnswer: 1adb9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 160723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7374485 by -6.\nAnswer: 7374485\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - 4, j = -m + 2*j - 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ngteteeggtt. Give prob of sequence ttt.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (2 - (3 - 12))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*f - 3*f. Which is smaller: 1\/14 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 smaller than -21\/3979?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 5. Let j(t) = -5*t - 21. Let b be j(-4). Let q(h) = h - 1. Let k(z) = b*r(z) + 2*q(z). Calculate k(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o + 5. Let n be h(5). Let j(u) = -12*u**3 - 12*u - 10. Let r(g) = g**3 + g + 1. What is n*r(s) + j(s)?\nAnswer: -2*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, y: 2, b: 2, x: 2, a: 2, z: 3}. Give prob of picking 1 z, 1 x, and 1 l.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20197 = -18*i + 18757 for i.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 100 and 703.\nAnswer: 70300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 855871925 to the power of 1\/5, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 548726*d*l**2*n - 2*d*l*n - 3*l**2*n - 31*l**2 - 2172*l*n - n wrt d?\nAnswer: 548726*l**2*n - 2*l*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -15*b + 2260. Calculate the remainder when b is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2850919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of 5*l**4\/12 - 11*l**3\/3 - 164*l. Let o(f) = 3*f**2. Determine o(y(a)).\nAnswer: 75*a**4 - 660*a**3 + 1452*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1435*r + 44982 = -72688 for r.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*v**3 + 3*v**3 + 10*v**3 + 7*v**3 - 45*v**3.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7183987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x + x**3 - 1 + 195*x**2 - 195*x**2. Calculate b(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -47832 or -47839?\nAnswer: -47832","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4540*m**3 + 9317*m**3 + 588*m**3.\nAnswer: 14445*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 98798365.9 rounded to the nearest 1000?\nAnswer: 98798000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1727951 is divided by 431440?\nAnswer: 2191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1198, 5001, 11334, 20197?\n\"Answer: 1265*p**2 + 8*p - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 481814 and 1258.\nAnswer: 1258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrr. What is prob of picking 3 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*d + 3. Let g(h) = -4 - 2 + h + 6*h**2 + d + 4. What is g(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 4:42 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -35 + 7 + 18 + (-1 - -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**5 - 125*p**4 - 39*p**3 + 289669*p**2 + 289172*p - 578676 = 0.\nAnswer: -83, -2, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 6459*h + 286124. Calculate x(-44).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 186847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w - 147 - 5*w + 19*w - 18*w - 4*w.\nAnswer: -15*w - 147","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1494.4*-65460\nAnswer: 97823424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.5 - -0.1. Let i = b + -0.5. Let c = 0 + 4. What is the closest to -2\/9 in 0.5, i, c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 2)*(-2*h + 5*h - 2*h) + 5 - 5 - 2*h + 3*h - 4*h - h - 5*h + h - 2*h + (-2 - 2 + 6)*(3 - 3 - h) to x + q*h and give q.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 119 + -87. Suppose -23*p - 45 = -n*p. What is the closest to -2 in p, -0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/3 and 5\/13?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8.4, -1\/38, 5352.\nAnswer: -8.4, -1\/38, 5352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32.063 - 0.063. Let n = -35 + z. Sort 0, -3\/4, n.\nAnswer: n, -3\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3334*-61.\nAnswer: -203374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.9 - -4.7. Let r = -1.8 + d. Let z = 0.14 - 0.54. What is the second biggest value in 2\/3, r, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-8)\/50*7\/(-14)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -317, -329, -357, -407, -485?\n\"Answer: -k**3 - 2*k**2 + k - 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -91, 17, 4, 2, -4 in ascending order.\nAnswer: -91, -4, 2, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -25*b + 126873 + 38475. Calculate the greatest common factor of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + 48\/(-10) - 56\/5. Let a be (u\/8 + 4)\/((-1)\/(-2)). What is the greatest common factor of 3 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 58 + 67. Let u be (p - 5) + (-19 - 0). Let a = -16 - -3. Are a and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**0\/i*i)**(6\/11)\/(i**(1\/2))**(-40) assuming i is positive.\nAnswer: i**(226\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f - 3. Let c(h) = -21*h - 16. Let s(w) = -2*c(w) + 11*l(w). Suppose 5*i - 14 = -2*i. Let v be (1\/i)\/1*(12 - 4). Calculate s(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60960 and 9525?\nAnswer: 304800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/62006 and -25\/4816.\nAnswer: 496048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3320131 (base 4) to base 7\nAnswer: 64234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.0084 * 1\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i = -6*i + 45 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 3\/2 (b) -1\/10 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(4\/15)*l**(-13) assuming l is positive.\nAnswer: l**(-191\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 14*c**4 + 8*c**3 + 1778. Let i(x) = -58*x**4 - 23*x**3 - 5335. Let o(w) = 2*i(w) + 7*u(w). Differentiate o(l) wrt l.\nAnswer: -72*l**3 + 30*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + -6)*(0 - 1). Let k be 11\/6 + r\/48. Determine y, given that -3*y**3 - y**2 - 11*y**k - y - 14*y - 6 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 3*o - 0*o - 3, 4*d = 3*o - 5. Let f = d - -8. Let c be 10\/f*(-7 + 10). What is the highest common factor of 25 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*t**4 - 1378*t**3 - 34*t**2 + 1850518*t.\nAnswer: 144*t**2 - 8268*t - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 n when four letters picked without replacement from {y: 4, n: 5, q: 6}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12817*t - 6410*t - 6403*t + 1.\nAnswer: 4*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1573 and 169.\nAnswer: 20449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -91*c. Let n = 17 - 15. Let y(z) = -2*z - n*z - 3*z. Let s(l) = -6*f(l) + 77*y(l). Let d(j) = j. What is s(d(m))?\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2*y + 2*h = 10, 0 = -4*y + 3*h - 1. Suppose 3*p + 0 = -2*i + 9, 4*i = -4*p + 8. Put 0, p, y in descending order.\nAnswer: p, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of 5*o**3\/3 - 11*o**2\/2 - 7. What is the tens digit of n(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pxpojjjxpud. Give prob of picking 1 j, 2 x, and 1 o.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18959, -18949, -18935, -18917, -18895?\nAnswer: -18869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/735 and 47\/15.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 26*((-55)\/(-22))\/5?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 17. Suppose -s*v + 2 = -2. Let c = 8 + -5. Solve 5 = c*h + v for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b**4 - 911*b**3 + 52575*b**2 + 53487*b = 0. What is b?\nAnswer: -1, 0, 63, 849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 20*z - 73. Let u be v(-11). Let h = 261 + u. Let k(m) = m**3 + 7*m**2 + 6*m - 7. Calculate the remainder when h is divided by k(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202221 (base 3) to base 13.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 1795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1025 in -1\/6, 108, 8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 5*b + 2. Suppose 376 = -21*l + 115*l. Let w(a) = -4*a - 2. Give l*w(k) + 3*v(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -338983, -339003, -339019, -339031, -339039, -339043?\nAnswer: -339043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2 - 2*w + 4. What is d(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 2*v + 3*c - 22, -58 = -4*v + c. Calculate the remainder when v is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 257624 divided by 8\nAnswer: 32203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16851 and 1599.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/242634 and 131\/740982?\nAnswer: 274904322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03727 * -0.095.\nAnswer: 0.00354065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + f - 3*f)*(3*f - 2*f + 0*f) + (2*f + f - f)*(2*f + 0 + 0) - f - 2634 + 2634 + 854*f**2.\nAnswer: 856*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 261*t - t**3 + t**2 - 261*t in the form o*t**2 + d + h*t**3 + l*t and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8932\/580*(-620)\/1953\nAnswer: -44\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/9, 0.2, 6\/19, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4547 + 4625 - (3 + -2)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**4\/3 - 103295*l**3\/3 - 206599*l**2 - 929705*l\/3 - 413204\/3 = 0 for l.\nAnswer: -4, -1, 103301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/112224 and -143\/128256.\nAnswer: 897792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 20 = 2*i. Suppose 4*d + 1 + i = -3*g, -d - 5*g - 14 = 0. Suppose 2*f - 7 + d = 0. Let h(a) = 3*a - 4. Calculate h(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (72504\/792 + -91)\/(-1 + 5\/(-11))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t = t - 41*t + 1595. Let b(g) be the second derivative of 0*g**2 - 11\/6*g**4 + t*g + 2\/5*g**5 - g**3 + 0. Suppose b(j) = 0. What is j?\nAnswer: -1\/4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-10) + 30678\/15. Suppose 14*j = 9*j - r. Which is smaller: -408 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 11) to base 2\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 375 + -880. Let b = a - -511.083. Let t = -6.1 + b. What is t rounded to 3 dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**2 - 194*s + 0*s**2 + 192*s + (9 - 7*s - 9)*(-2 + 2 - 2*s).\nAnswer: 16*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(11) + -3*sqrt(11) - -2*sqrt(99))**2.\nAnswer: -8*sqrt(11) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2 = 0, -t - 3 = 2*d - 2. Let r be 1\/(d\/(2 + -5)). Suppose 5 = -r*h - 2*m, -h + 1 = -3*m + m. Which is the nearest to h? (a) -5\/4 (b) 7 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 33\/(5 + (-3 - 1)). What is the tens digit of 19308\/22 + 12\/r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 0)*(-2*q + q + 2*q) + 0 + 0 - 2*q + (0 - 2 + 0)*(-q + 4*q - q) + (0 - 2 + 3)*(34*q - 57 + 57) as h*q + y and give h.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8106711 and 722?\nAnswer: 308055018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -11*b + 1 + 13*b + b**3 + 3 - 5*b**2 + 0*b**2. Let u(j) = 1 - 3*j + 0 - j**3 + 6*j**2 - 4 - 2. Let f = -27 + 23. Determine f*u(z) - 5*c(z).\nAnswer: -z**3 + z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**15)\/r*r)\/r*r*r\/(r**21\/r) assuming r is positive.\nAnswer: r**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3450 (base 7) in base 6?\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 156009125 + 0.4\nAnswer: 156009125.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 4*x - 21 - 1 = 0, 3*i + 4*x = 18. Suppose 0*b - 5*b - 2*f + 44 = 0, 0 = -5*b + i*f + 56. Calculate the highest common divisor of 10 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3950284, -15801154, -35552604, -63204634, -98757244?\nAnswer: -142210434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12\/108043 and -23\/2809118.\nAnswer: 2809118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 23450 + 2c?\nAnswer: 2347c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dkbdbgbhdg. What is prob of picking 2 d and 2 g?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -76408 - -2?\nAnswer: -76406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 460642?\nAnswer: 4145778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 766856.2 hours in milliseconds?\nAnswer: 2760682320000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4\/7)\/(a*a\/(a\/(a\/(a*a\/a**(3\/4)))*a)*a))**(-2\/79) assuming a is positive.\nAnswer: a**(37\/1106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2 + 2*f. Let c = 7 - 5. Let u(n) = -n - 2*n + n**c + 2*n. Let z(t) = i(t) + 3*u(t). Find the second derivative of z(j) wrt j.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(-1) + (3 - 1). Let n(i) = 154 - 13*i**2 + i - 151 + 16*i**2. What is n(g)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eighteen fifths of a hour?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6472.107 millilitres?\nAnswer: 6.472107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2382847?\nAnswer: 19, 83, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*d = -36*d + 3765. What are the prime factors of d?\nAnswer: 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-42)\/9)\/(4\/(-6)). Suppose h + 580 = 6*h. Let z = 172 - h. Calculate the highest common factor of u and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -86*b**2*z**2 + 22027*b**2*z - 17*b*z**2 - 13*z**2 + z wrt z?\nAnswer: -172*b**2 - 34*b - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 13 = -2*u, -5*t = -6*u + 3*u - 22. Let v = 10\/39 + -226\/273. Sort t, v, 2\/9.\nAnswer: v, 2\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 123, 3 in decreasing order.\nAnswer: 123, 5, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 g, 1 t, and 1 x when four letters picked without replacement from {n: 2, e: 1, x: 3, g: 9, t: 2}.\nAnswer: 27\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + (sqrt(11) + -6*2*sqrt(11) - sqrt(11)))**2*5.\nAnswer: -47550 - 720*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 25364, 50732, 76100?\n\"Answer: 25368*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(5\/((-30)\/(-9))). Suppose -2*i = l*i. Let y(s) = s**3 - s**2. Calculate y(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q - 1. Suppose -24*p + 20 = -20*p. What is u(p)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 11. Let s = -6 + 14. What is the remainder when (78\/2)\/3 - t is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8919, -9084, -9249?\nAnswer: -9414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4431 + 4427. Which is the closest to -2\/3? (a) -9 (b) 0.04 (c) 0 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50825171 to the nearest integer?\nAnswer: 7129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18789 - -24939. Calculate the remainder when x is divided by 47.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.8 take away 306?\nAnswer: -319.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghnghhhnghhgghghh. Give prob of sequence hn.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30021 + 0*q + 15007 + 15014 - 6*q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 3412729440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 49.28 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.4, -0.153, -0.2, 8 in ascending order.\nAnswer: -0.2, -0.153, 0.4, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/88)\/(-3)*142\/5964*70?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = -5*f - 4*y, f + y = 4*y + 51. Suppose 3*j - f = 5*k, k = -k - 6. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3128 = -73*n + 140*n - 33*n for n.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 0. Suppose q + u + 2 = 8, -q - 10 = -3*u. Factor -2*s**q + s - 2*s**p + s.\nAnswer: -2*s*(2*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 33?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 2\/15 (c) 0 (d) -0.2 (e) -321\/4 (f) 3 (g) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**5\/3 - 94*m**4\/3 + 14*m**3\/3 + 25838*m**2\/3 + 138368*m\/3 + 112640\/3 = 0.\nAnswer: -11, -5, -1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6)*-1)\/((-615)\/369)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (104\/(-12))\/(10\/15). Let y = h + 16. Suppose 4*r = 2*d - 0*r - 22, 0 = 2*d - 3*r - 19. What is the lowest common multiple of y and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 + -5. What is the greatest common factor of b and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -56) + -47 - -28.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9125 + 9231. What is the remainder when 757 is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 + 13088*o - 13084.\nAnswer: -4*(o - 3271)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6025261 rounded to three dps?\nAnswer: -0.603","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*m**4 - 24259*m**3 - 1832292*m**2?\nAnswer: 120*m - 145554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2186069.9 rounded to the nearest one thousand?\nAnswer: -2186000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23014, -22992, -22980, -22984, -23010, -23064?\nAnswer: -23152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(18392\/342 + -54).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, -2\/9, 1, 0.38?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 2*d + d**2)*(132 - 268 + 151 - 55*d)*(d + d**2 - d).\nAnswer: -55*d**5 + 15*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 9*i**2 - 3*i + 88. Let o be m(-5). Solve 4*a - 2*a + 26 = 4*h, o*h - 3 = -4*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -114*b**4 - b + 308 wrt b?\nAnswer: -456*b**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**3 + 58054*o**2 - o**3 - 6*o**3 + 0*o**3.\nAnswer: -2*o**3 + 58054*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**2. Let n(t) = -119899148*t. Give n(w(g)).\nAnswer: -359697444*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(((-9)\/(-6))\/(-3)). Suppose -w + 6 = q*w. Suppose -108 = -5*k + 4*a, -5*k - w*a + 16 = -4*k. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 minus -77207227.44472?\nAnswer: 77207226.64472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 9. Let l be n*(9\/(-2) - -4). What is the third smallest value in 1\/2, l, 1\/20?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -j + 3. Suppose 3*p + 25 = 28. Which is the biggest value? (a) 5 (b) p (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1, 4, 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -432 (b) -14 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 6*d**2 + 4. Let o(a) = a**3 + 7*a**2 + 4. What is 3*o(u) - 4*q(u)?\nAnswer: -u**3 - 3*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 50*y**2 - 375*y + 229. What is v(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -207*z + 202. Let v be k(1). Which is the nearest to -1? (a) v (b) 0.14 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -12 (c) -3\/8 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -13 + 14 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 o when two letters picked without replacement from ocoooooooooooocooooo?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 35, -2\/5, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + a - 2. Let s(t) = -3*t**2 - 36*t + 11. Let w be s(-12). Let u = 5 - 3. Let i(d) = 5*d**2 - 5*d + 11. Determine u*i(g) + w*y(g).\nAnswer: -g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/16 and 97\/36?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1064772 smaller than -1064772?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3477.9+0.04\nAnswer: 3477.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*s = -586, 2*s + 1164 = 19*v - 17*v. Are v and 582 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 2\/17, 5\/4, 0.1, -5?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38*y**5 - 9*y**4 - 48*y?\nAnswer: -760*y**3 - 108*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -a + 1617*a**2 - 3229*a**2 + 4*a + 19 + 1613*a**2 as r*a + s + j*a**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 7*a**2 + 1. Let f be q(-7). Is 2791\/f - (9 - (8 - 5)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -2, 0.3, -3, 30.\nAnswer: -3, -2, 2\/13, 0.3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**1)**35)**(-31\/3)\/((v**14\/v)\/v**(2\/11))**34 assuming v is positive.\nAnswer: v**(-4794\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*d + 2*d - d + 9*d + 2 as a*d + c and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1069556 is divided by 1687?\nAnswer: 1685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 91, -5, 1323, -14 in decreasing order.\nAnswer: 1323, 91, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2*y - 65157, 4*z - 3*y + 65153 = 9*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -32*m + 29*m + 281, 5*m = -5*x + 435. Suppose 4*d + m = 3*i, 3*i - 8*d - 86 = -3*d. Calculate the remainder when i is divided by 31.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 54\/15 + 4\/10. Suppose 0 = -q*j + 2*j + 4. Suppose -2*f + 20 = j*f. Solve 0 = 5*a + f, 5*a + 13 - 5 = 3*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 1. Let s(z) = 15*z**2 + 27*z + 1. What is 3*p(w) - s(w)?\nAnswer: -12*w**2 - 27*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -15*v**3 + 9*v**4 - 32*v**2 - v**2 + 14616*v - 14625*v = 0.\nAnswer: -1, -1\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 11*c**3 + 13*c**2 - 14*c + 5. Let g(p) = 13*p**3 + 14*p**2 - 13*p + 4. Let b(d) = 5*g(d) - 6*r(d). Find l such that b(l) = 0.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9a (base 13) to base 7\nAnswer: -241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(512\/(-640)*(-10)\/(-4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 132 + -51. Suppose -i*f - 20 = -86*f. Solve 3*v - b = 1, -2*b = 2*v + f + 6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12722 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.61568ms in seconds?\nAnswer: 0.00361568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(4) + 0)*1.\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/6)\/(32\/432). Is z greater than 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -128099\/115855636 + -2\/129883. Find the common denominator of h and -61\/892.\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 o, and 1 d when four letters picked without replacement from dddoxooooodddddodhhd?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 153855 and 130?\nAnswer: 307710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -32.75, 4.2, -3 in descending order.\nAnswer: 4.2, -3, -32.75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 552743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 308 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 746607649?\nAnswer: 17, 43918097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69678?\nAnswer: 2, 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (-38 - -62) - (-5 - -1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -48*a**2*f**3 + a**2*f**2 + 3*f**3 - 3098*f**2 wrt a.\nAnswer: -96*a*f**3 + 2*a*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -73 + -21230?\nAnswer: -21323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4\/5 + 1235884*r**3\/5 + 988712*r**2 + 4943568*r\/5.\nAnswer: -2*r*(r - 617946)*(r + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 486*s - 5350. Let p be n(11). Which is the fifth biggest value? (a) 4 (b) p (c) -27 (d) 1 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 a when two letters picked without replacement from {a: 1, r: 7}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o**3 - 35*o**2 - 4*o**2 + 10*o**2 - 54*o**2.\nAnswer: -7*o**3 - 83*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -3. Suppose 18 = 2*y - 6. Let r be 2*2\/y*6. Solve -r*f - d*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 5*u**2 - 4*u - 11. Determine t(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 0*g - 64 = 0. What is the remainder when 61 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -o**4\/6 + o**3\/2 + o**2\/2 + o. Suppose f + 10 = -4*i, -4*f + i + i + 32 = 0. Let z = -3 + f. Determine r(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81722023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**2 - u**2 - 4*u**2 + (-7*u - u - u)*(-3*u + 51*u + 68*u).\nAnswer: -1046*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + 42 - (-1 - -13).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k**2 - 294*k + 4686. What is q(-115)?\nAnswer: -1179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, g: 1, z: 10, w: 4}. What is prob of sequence wg?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, -1137, 2\/11 in decreasing order.\nAnswer: 2\/11, 2\/15, -1137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 1292464?\nAnswer: 1292461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-123)\/18 - (-3)\/(-18). Let p = 9 + k. Factor 16*h**3 - h + 0*h - h - 8*h**4 - p*h**3 - 4*h**2.\nAnswer: -2*h*(h - 1)**2*(4*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, w: 5, d: 12}. Give prob of sequence dlw.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m\/(m**(-12)\/m*m))\/m*m*(m*(m\/(m*m*((m**(11\/2)*m)\/m)\/m*m))\/m)\/m)**(-37)\/((m**(-3\/4))**(-22))**0 assuming m is positive.\nAnswer: m**(-481\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2 + 18487*u - 1. Let k(m) = 11*m. Determine h(k(w)).\nAnswer: -242*w**2 + 203357*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.8115984 to 4 dps.\nAnswer: -17.8116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*h**3 + 2*h**3 + 4*h**3)*((-1 - 4 + 4)*(-5 + 5 - 3) - 8 + 0 + 2) in the form t + k*h**2 + p*h + f*h**3 and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.906 - 31057.56.\nAnswer: -31056.654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14259a (base 12) to base 15.\nAnswer: -6989a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 6*g**2. Suppose -2*j + 1 = -3. Let y(k) = -560 - j*k + 560. What is y(r(m))?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1103120373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 781 is divided by 32.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 159*m**3 - 6*m + 7*m**2 + 5*m - 162*m**3 + m + 7 to the form y*m**2 + u*m + k + c*m**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1908937237.\nAnswer: 89, 240997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 12 + (-1 - 14 - (255 + -268))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55741 is divided by 250.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -309.06305 + 307.74. Round d to two decimal places.\nAnswer: -1.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 2*q - 26, 4*q - 5*q - 4*m + 23 = 0. Suppose 0 = -0*n - q*n. Let c be -3 - (4 - 1820\/304) - -1. Is n less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90+821073\nAnswer: 820983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*g = g - 10, 3*g = 5*r - 10. Let 10*k**3 + r*k**5 - 3*k**5 - 5*k**3 - 4*k = 0. Calculate k.\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2163*s + 3*a = -2168*s - 9, -2*s = 5*a + 15. Suppose 3*q - 28 = -1. Let y be (-1)\/(q\/(-6))*9. Solve s*w = 2*w - y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55\/174 - -1\/58. What is the closest to 1\/3 in 0.4, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -234423423 (base 5) to base 13.\nAnswer: -2c328c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3 - (-65)\/20) + 179\/4 is divided by 26.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 m when two letters picked without replacement from mzplyzplyyyzypy?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 2*i - 100, 44 - 26 = 3*i. Calculate the smallest common multiple of q and 301.\nAnswer: 2408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 418\/(-385)*3*5 - (-65)\/(-91)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*sqrt(5)*3 - (2*sqrt(25))\/sqrt(5))**2 + -5.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 102 = -22. Let b = -13 - v. Let p = 1152 - 1150. Solve 4*m + p - b = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -5*t**2 - 11*t + 2. Let p(w) = w**2 + w. Let l = 9 - 10. Let h(j) = l*f(j) - 6*p(j). Determine h(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 335 - 332. Put b, -5, 2 in descending order.\nAnswer: b, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27378.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 504 - 343. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 6 = 5*y, -7*b + 2*y = -10*b - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -9057 divided by -3\nAnswer: 3019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 51? (a) 1 (b) -7 (c) -0.1 (d) 5 (e) 0.2 (f) -3.078\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 1. Suppose -3*k + 566628 + 2433369 = -5*g, -j*k = 5. What is g rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l + 0*l + 2*l - 9*l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/17 + -3\/119. Let x = 4.005 - 0.005. Let r = 3 + -2. Put x, m, r in increasing order.\nAnswer: m, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2298867.\nAnswer: 3, 19, 31, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 81*m**2. Let i(b) be the third derivative of -b**5\/12 - 5*b**2. Let o(w) = -33*i(w) - 2*z(w). Let g(h) = -23*h + 23*h - 5*h**2. Calculate o(g(y)).\nAnswer: 75*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 112587*k**5 - 355*k + 20?\nAnswer: 2251740*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -227579 and -227849 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7783336 and 149369.\nAnswer: 4037","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 23167, 93051, 209519, 372571, 582207, 838427, 1141231?\n\"Answer: 23292*j**2 + 8*j - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4933520 is divided by 123?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -8 + (3\/(-4))\/(5967\/(-64872)). Let r = 18.5 + -18. Which is the nearest to 3? (a) r (b) -1 (c) k (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -10.15.\nAnswer: -11.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3892432.464 rounded to the nearest 10000?\nAnswer: -3890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 72*n - 37*n - 33*n + 4 - 1. Let x(w) = 6*w + 8. Suppose 0 = -p - 2*u - 5, -p = -3*u + 2*u - 10. What is p*x(a) - 14*s(a)?\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13386 - -3?\nAnswer: -13383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 5:56 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18203?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1382*r - 1387*r = 5*y + 310, -2*r - 298 = 5*y for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-9) - 2\/(-9). Suppose 5*a - 52 - 18 = c. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96) + sqrt(96) + sqrt(96) + 4*1*sqrt(96) + sqrt(96) - (sqrt(96) - 3*(sqrt(96)*1 + sqrt(96))))\/(3*sqrt(6)\/sqrt(3)*1).\nAnswer: 52*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1951714151 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 26, 42, 58?\n\"Answer: 16*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**8\/28 - 37*d**7\/42 - d**4\/2 - d**2\/2 - 2*d - 2. What is the third derivative of j(g) wrt g?\nAnswer: -240*g**3 - 2220*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12539 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 770\/266 - (-8)\/76. Solve 0 = 3*u - 4*a + 5, 15*u - 12*u = w*a for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 739*p**2 - 972*p**2 + 2*p - 2*p.\nAnswer: -233*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 193, 827, 1875, 3331, 5189?\nAnswer: 7443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b74 (base 16) to base 6.\nAnswer: -21324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4107595 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0.09, 2\/9, -9 in decreasing order.\nAnswer: 2\/9, 0.09, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 3)*(-7*a - 1 - 3 + 6)*(3*a**4 + 2*a**4 - 3*a**4 + (0 - 2 + 0)*(-5*a**4 + 3*a**4 + 4*a**4)).\nAnswer: 42*a**5 - 12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12794 (base 12) to base 7.\nAnswer: -133540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 15) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.085 - 0.138. Let z = g - -0.053027. Round z to 6 dps.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 27?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 1851168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 9:17 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 77337478099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6.81 * -10\nAnswer: 68.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -99.74962 + 99.32. Let m = -0.83 - -0.4. Let x = m - s. Round x to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -103000.681, 4?\nAnswer: -103000.681","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*s**3 + 729*s**2 + 79734*s - 23985 = 0.\nAnswer: -41, 3\/10, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1656 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 116946, 233887, 350828, 467769?\n\"Answer: 116941*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - g + 17 - 23, -6 = -4*h + g for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 20 = -u, 2*o = -7 - 1. Let k be (9\/(-15) + 1)*5. Sort k, u, -3\/7 in ascending order.\nAnswer: u, -3\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-8)\/10*10*(6241\/(-4) + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 40 = t. Let j = 13 - t. Suppose 7*d - j = 2*d. Solve v - 2 + d = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -0*b - 398. What is the common denominator of 284\/80 - 2\/8 and b\/56 + (-3)\/12?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3*i - 4767 = 0, -1 = -i + 3. Which is smaller: 1595 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4\/47, -8, 154?\nAnswer: -4\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15 + (-2)\/(3 + -4). Suppose 0 = 2*p - 4 - 0. Suppose p*s = 38 + 132. What is the highest common factor of b and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6*z. Let b(q) = -469*q. Give j(b(d)).\nAnswer: -2814*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -24357 (base 8) in base 2?\nAnswer: -10100011101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 less than -2772?\nAnswer: -2745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/10, -0.123, 0.\nAnswer: -4, -0.123, -1\/10, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.01 + -2.99. Let k = 0.463 - 0.048. Let q = k + -0.015. What is the smallest value in q, w, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18.65 - -0.75. Let g = -990.15 + 989.65. Which is the nearest to 0.1? (a) g (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 37 = 3*y + 77, 10 = -y + 4*q for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - l = 19100. Let n = 9600 - 20580. Let u = n + l. Round u to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 2*k + 340564*c - 340569*c, 5 = 3*k - 2*c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2233310223 (base 4) to base 14\nAnswer: 14a64b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5101, 5086, 5089, 5122, 5197?\nAnswer: 5326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6395426 is divided by 1129?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 45*a**2 + 51*a - 75. What are the prime factors of r(44)?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*g = 88*g + 32 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3661 = -35*i - 4186 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 238771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -23056, -92243, -207560, -369007, -576584?\n\"Answer: -23065*n**2 + 8*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.01 - -5.01. Suppose -2*x = 2*x + 3*i + 1, -x + 3*i - 19 = 0. Let y = x - 1. Which is the nearest to -0.1? (a) -3 (b) y (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a millennium in years?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28 * 89744.\nAnswer: 2512832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.01 and 126.\nAnswer: 125.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-159)\/((-82680)\/(-650))*60\/(-325).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 633, 635, 639, 645, 653, 663, 675?\n\"Answer: z**2 - z + 633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of x**4 + 4519*x**3 + 108270*x**2?\nAnswer: 24*x + 27114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (3 + sqrt(396)))**2 + (sqrt(77)\/sqrt(112))**2.\nAnswer: 30*sqrt(11) + 4555\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -2, -20, 2, -17, -9, -1 in decreasing order.\nAnswer: 13, 2, -1, -2, -9, -17, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28974686.\nAnswer: 2, 13, 67, 16633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -398*f**3 + 437*f**3 + 8*f + 2*f**2 - 6 - 9*f. Suppose -4*k = -k - 6. Let i be t(k). What is the greatest common divisor of 39 and i?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -12*(-4)\/12 + 4. Suppose -4*q + r*q - 12 = 0. Factor 25\/6*x**2 + 7\/6*x**4 + 1\/6*x**5 + 8\/3*x + 19\/6*x**q + 2\/3.\nAnswer: (x + 1)**3*(x + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 e when three letters picked without replacement from sggsssesstxt?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 divided by 25?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p + 6. Let c be ((-5)\/(-10))\/((-1)\/(-8)). Determine w(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, b: 1, y: 2, z: 1, t: 1, c: 1}. What is prob of sequence tce?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 4*o - 8 = 0. Let z = o - 1. Let d = 8 + z. Solve d = -3*x - 2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -i**4\/4 + 10*i**3\/3 + 9*i**2\/2 + 3*i - 2874. Calculate s(11).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zoeo when four letters picked without replacement from euzouueezezeo.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 s when two letters picked without replacement from {f: 6, s: 2, v: 3, t: 1, m: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -10\/11 (b) -3\/7 (c) -8 (d) -2\/7 (e) 12 (f) 0.04\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.02*-1.24\nAnswer: -0.0248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d40c (base 14) in base 2?\nAnswer: -10010010010000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -87.9 - -29.9. Which is greater: m or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence luu when three letters picked without replacement from gguuuuugljuj?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -5*i + 1. Suppose -14*b = 47 - 19. Calculate d(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -u**5\/120 + 7*u**4\/24 - 11*u**3\/2 - 22*u**2 + 2. Let n(s) be the first derivative of j(s). Calculate n(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9, q: 5}. What is prob of sequence iii?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21935452?\nAnswer: 2, 7, 11, 229, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -14.9. Let t = 0.09962 + x. Round t to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**2 + d**2 + 2*d**3 + (4*d + 47 - 24 - 26 + 1 - 1 - d + (-2*d - 2*d + 0*d)*(-3 - 3 + 5))*(4*d**2 - d**2 - d**2).\nAnswer: 16*d**3 - 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/2*8*(-11)\/(-1584)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1366791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 7*p**2 - 84*p - 484. Give v(16).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1)*(12 - 13)*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0+33898710.9\nAnswer: 33898710.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 5*j - 35 = 0. Solve -4*t = -j*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 5*q + 33, -q + 7*g = 10*g + 17 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -771 - -789. Let l(t) = -t**2 + 1. Let f(q) = q - q + 21*q**2 - 16 - 2. Calculate s*l(g) + f(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7794 - 2*o - 3891 - 3848.\nAnswer: -2*o + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 3175.\nAnswer: 3\/3175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r + 0*r + 12 + 2*r + 0*r.\nAnswer: -r + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 4 = -p. Let l = 22.1 - 22. Which is the second smallest value? (a) -5 (b) l (c) 3 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/66 + 7004432\/(-1276044)?\nAnswer: -38\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 937411 * 0.4.\nAnswer: 374964.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*t + 42*t + 40*t - 398*t**2 - 141*t - 517*t**2.\nAnswer: -915*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -71239\/111085 - -18\/1709. Calculate the common denominator of o and -54\/325.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-142*y + 135*y - 114*y)*(4*y**2 + 2*y**2 - 3*y**2) to the form r*y**3 + a + u*y + s*y**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**5\/4 + 39479*q**4\/4 + 98707*q**3\/2 + 59227*q**2 - 39482*q - 78968 = 0.\nAnswer: -2, 1, 39484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h**3*v**2 - 20822499*h**2*v**3 - 35253771*v**3 wrt h?\nAnswer: 6*h**2*v**2 - 41644998*h*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(63)*6 + -2 + (3 + (sqrt(7) - (sqrt(63) + sqrt(7))) + sqrt(7) - sqrt(56)\/sqrt(2))**2).\nAnswer: -6*sqrt(7) + 119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -7 + 4 - 18*s**2 + 3*s + s + 1. Let o be w(2). Let u = o - -64. Let p(z) = -5*z - 1. Give p(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 626214.\nAnswer: 2, 3, 104369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3097240.2 and -4?\nAnswer: -12388960.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -84 - 78 - 79 + 241 + 1611*y as j + s*y and give s.\nAnswer: 1611","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 4)*(1 - 3 + 3)*(1 + 2 - 2)*(-17 + 17 - 8*c).\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -661 - -661. Which is the closest to -3? (a) 0.1 (b) 5 (c) o (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/(-90) - 74\/12. Let p(g) = g**2 + 5*g. Let c be p(j). Solve -20 = c*n - 2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**2 - 3*b**2 - 2*b**2 - b**5 + (0 + 1 + 0)*(-2*b**4 + 2*b**4 + 6*b**5) + (-2*b**2 + 0 + 0)*(-2 + b**3 + 2).\nAnswer: 3*b**5 - 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**3 + p**2 + 2*p + 4. What is the hundreds digit of k(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 897 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5137071 (base 8) in base 7?\nAnswer: -14361213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 3*p + 2 = 2*j, 5*j + 30 = 3*p. Let i(y) = -6 - 9*y - 2*y - y**2 - 5. What are the prime factors of i(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o. Let u(g) = g. Let f(j) = k(j) + 2*u(j). Let a(p) be the second derivative of p**4\/6 + p. Give a(f(d)).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65121 divided by 21707.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -5*q - 56. Let y be a(-12). Let u(d) be the second derivative of 0*d**3 - y*d + 5\/12*d**4 + 3\/2*d**2 + 0. Differentiate u(s) wrt s.\nAnswer: 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/16 and 79\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qdq when three letters picked without replacement from {d: 5, n: 2, b: 8, q: 2}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3937*d = -4006*d - 3381 for d.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 - 1235*y + 6050.\nAnswer: 5*(y - 242)*(y - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(80) - (sqrt(80) - (1*sqrt(80) + sqrt(80))))**2 + sqrt(80) + 5.\nAnswer: 4*sqrt(5) + 323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0.03. Let n = 922.73 + -922.43. Sort k, n, 3\/5, 0.02 in decreasing order.\nAnswer: 3\/5, n, 0.02, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = 7*q - 3*q. Is 12 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -705586, -706047, -706516, -706999, -707502, -708031, -708592?\nAnswer: -709191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z**3 + 4*z**2 - z - 2. Let b(i) = -3*i**2 - 48*i**3 + 44*i**3 + 1 - 102*i + 103*i. Give -4*b(m) - 3*f(m).\nAnswer: m**3 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -4992.\nAnswer: 1\/4992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6947?\nAnswer: 6947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9057 (base 12) to base 4.\nAnswer: 3310003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 198 and 1486914?\nAnswer: 4460742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*d - 2*h - 3*h, -48 = -4*d + 4*h. Suppose 0 = 12*i - d*i - 472. Suppose 2*u + i = 4*g, 58 = g - 5*u - 60. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 13390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4843*h - 62941. Determine k(-13).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 683034 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13500 + 2?\nAnswer: -13454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6, 36, 106, 234, 438, 736?\n\"Answer: 3*m**3 + 2*m**2 + 3*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 424*r**2 - 21. Let h(x) = 1240*x**2. What is g(h(c))?\nAnswer: 651942400*c**4 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/(247\/(-19)) - (3\/(-1) - -28).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/10)\/(2\/(-4)). Let o = -4147.2 - -4147.3. Sort r, o, -0.22.\nAnswer: -0.22, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4*w - 140 = -2*c, 2*c + 3*w + 82 = 0. Let b = c + 47. Suppose 0*h + 3*h - 73 = -5*m, b*m = -5*h + 111. What are the prime factors of h?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 2) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) -2 (c) -4095.8 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12971687051.63 + -48.\nAnswer: 12971687003.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/14 + 304\/(-112). Let r = -0.2 - 0.8. Which is the smallest value? (a) r (b) z (c) -8 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + 0. Let m = 5 - f. Let l = m + 8.2. Is l at most as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**1\/x))\/x)**(4\/9)*(x**(-2\/3)*x)**(-19) assuming x is positive.\nAnswer: x**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -129 + -5.\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 12*o - 12 = 15*o, 2*m + 2*o + 4 = 0. Calculate the highest common factor of 2 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3921 = -8*t. Let k be (-10)\/85 - t\/850. Let l = -2\/25 - k. Which is the second smallest value? (a) 5 (b) 3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 26\/455361?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -21, -71, -163, -309?\nAnswer: -521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence paa when three letters picked without replacement from {a: 3, p: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -213, 3, 130 in ascending order.\nAnswer: -213, -1, 3, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 706 + 89*n - 43*n - 43*n + 33*n - 40*n in the form a + l*n and give a.\nAnswer: 706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/(-44))\/(2820\/(-10340))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3979994334 to the nearest one million.\nAnswer: 3980000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3 + 9 = -3*r, 4 = 5*p - r. Suppose p = -0*o - 3*o + 6. Suppose -o*y = y - 21. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 72 - 48. Suppose -5*a = -3*a + 6, 0 = -h + a + 36. What is the lowest common multiple of 32 and (-3 + h)\/(-3)*s\/(-10)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*x = 0, 4*l + 26 = -2*x - x. Let o = l + 27. 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: Calculate the remainder when 16333 is divided by 248.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -d**8\/50400 - d**7\/3150 - d**6\/600 - d**5\/5 + 17*d**2. Let h(y) be the third derivative of g(y). Solve h(a) = 0 for a.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*p - 9. Let i(n) = 15*n**2 + p*n**2 - 23*n**2. Let y(q) = -q**2 + 5*q. Let h(f) = 2*f. Let b(x) = 5*h(x) - 2*y(x). Calculate i(b(k)).\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - m + 15 = 4*c, -c + 4*m = -25. Suppose -11 = c*j - 31. What are the prime factors of 1*-2 - (-40)\/j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6 - 376\/(-64)) + (50\/16)\/1. Sort 5, f, -67, 2 in ascending order.\nAnswer: -67, 2, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133602067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -11*a**3 + 2*a - 3. Let g(k) = -k**3 + k - 1. What is -b(y) + 4*g(y)?\nAnswer: 7*y**3 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 48601, 5, 0.07, 3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6264121 (base 7) in base 11?\nAnswer: 476562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 7) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = 4*i - 4*o - 644, -2*i = 3*o - 314. Let h = 3095\/19 - i. Which is the third smallest value? (a) 0.4 (b) h (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus -6413787663?\nAnswer: 6413787663.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -13, -8\/19, 0.5, -6\/7 in descending order.\nAnswer: 0.5, 0.1, -8\/19, -6\/7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 266\/8 + 2\/(-8). Suppose -6*f - 88 = -2*f. Let v = s + f. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 divided by -7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*z - 183*z + 2370 = 0 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -137933196\nAnswer: -689665980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.757 - 1.257. Which is the third smallest value? (a) p (b) 1 (c) 1\/154 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1079, 2146, 3229, 4328, 5443, 6574?\n\"Answer: 8*g**2 + 1043*g + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/11, -3, -3\/230, -1\/6, 10?\nAnswer: -3\/230","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 61104 and 268?\nAnswer: 61104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34760 (base 12) to base 15.\nAnswer: 15c00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a century in years?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 197*a - 961*a - 51*a - 367*a. Let t(j) = 3*j. What is t(g(b))?\nAnswer: -3546*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 16*f - 15. Let g be h(-9). What is the common denominator of -149\/12 and -1 + 0 - 153\/g?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -3*c**3 + 3*c**2\/2 - 4*c. Let h be w(-5). Let t = h - 59. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -33, -3460 in descending order.\nAnswer: 31, -33, -3460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n**3 + 56*n - 53*n - 9*n**2 + 8*n**2 as a*n + h*n**2 + p*n**3 + d and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -906, -905, -904?\n\"Answer: w - 907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-7) - (-5)\/((-210)\/222). Let a(w) = -w**3 - 6*w**2 - 7*w - 3. Determine a(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(32)*6 + (0 + sqrt(2))*-4)**2 + (sqrt(512) + 1 + sqrt(512) + sqrt(512) - sqrt(512) - sqrt(512))**2 + 1*(0 + sqrt(8)).\nAnswer: -166*sqrt(2) + 1338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3.4361 - -71878\nAnswer: 71881.4361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 690 and 760.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-150)\/(-20)*(-18)\/(-15).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 2*s + 12. Let a be h(-7). Let t = 37 + a. Calculate the common denominator of 113\/12 and ((-371)\/(-28))\/(t\/(-4)).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33290, 33291, 33292?\nAnswer: 33293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 605 = -7344. List the prime factors of b.\nAnswer: 23, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.98 less than 306?\nAnswer: 327.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1771 + r - r**2 - 219*r**3 - 884 - 887 to b*r + h + f*r**3 + w*r**2 and give f.\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13022244 + 112?\nAnswer: -13022132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1123 = 3*t + 5*n + 267, -5*t + 1416 = 3*n. Let r = -2 + 13. What is the remainder when 2\/(-6) + t\/9 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2. Let z(m) be the second derivative of -m**7\/1260 + m**4\/12 + m. Let w(h) be the third derivative of z(h). Determine j(w(o)).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 e when two letters picked without replacement from {e: 1, o: 9, c: 6, w: 1}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 9*a - 11. Let s be b(7). Let y(m) = -225 + 4*m + s*m + 214 - 7*m**2 - m**3. What is y(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*o + 1700 = 0, 2*o - 1728 = -2*w - 2*o. Suppose 2*r - w = -2*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -e3 (base 15) to base 6\nAnswer: -553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/7)\/h)\/h*h**(-1\/3)*(h*h*h\/h**(-1\/13)*h)\/(h**(-4\/5)\/h) assuming h is positive.\nAnswer: h**(5227\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(228) - 1*sqrt(228))*4)\/((sqrt(108) - sqrt(12))*-4) + (sqrt(304) + -1 + sqrt(304) + 2*(sqrt(171) - sqrt(19)))*5.\nAnswer: 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -451269792?\nAnswer: -451269792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 280583502 and -2402.\nAnswer: 280581100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 7:29 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1693 divide 1446193213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/120 and 29\/770.\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -0.036 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2966954, 2967014, 2967074, 2967134, 2967194, 2967254?\nAnswer: 2967314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36973 - 20179. Does 17 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00027094 rounded to 5 decimal places?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20112020102 + 212?\nAnswer: 20112021021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: ((-204)\/360 + (-54)\/15 + 4)*(-115 - 23)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-23 - ((-11 - -26) + -40) - (72 - -1)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2)**(-1\/35)\/((u**(-4\/3)*u)\/u*u**(-22)) assuming u is positive.\nAnswer: u**(2444\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 9b807 (base 13) to base 7\nAnswer: 2254556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -f**4\/12 - f**3\/2 - f**2. Suppose -c = 9 - 4. What is the units digit of k(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ovc when three letters picked without replacement from mvcwcowyoomcwcv.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -24109, -24176, -24257, -24358, -24485, -24644, -24841, -25082?\n\"Answer: -y**3 - y**2 - 57*y - 24050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.34 - -16.66. Let g = i + -12. What is the closest to -2\/3 in g, 3, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2002 + 3035. What is the remainder when f is divided by 69?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.222 + 3.222. Let i = -5 - -4.7. Which is the closest to 2\/3? (a) f (b) -5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 160114 = 33*i - 187310. List the prime factors of i.\nAnswer: 2, 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 17*v - 13. List the prime factors of a(-25).\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yukyyyyyy. Give prob of sequence kyu.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**5 - k**4 - 17*k**3 - 21*k**2 + 8*k + 4. Let t(w) = w**4 + w**3 - 2*w. Let h(v) = -l(v) - 6*t(v). What is y in h(y) = 0?\nAnswer: -2, -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/((-1)\/(-44)) - (-47 - -45) is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 314403414 - 4?\nAnswer: 314403410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 73, 75, 77, 79?\n\"Answer: 2*s + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 304 divide 5188256940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 - -9) + -1 + -2. Suppose -3*n + 8 + 16 = q. Let g(l) = -l**2 - 2*l + n - 12 + 4. Determine g(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 10. Let k be r(-8). Suppose -2 = p - k*p. Suppose 5*z - p*j - 54 = 20, -3*z + 40 = j. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12424224 (base 7) to base 2\nAnswer: -100010100011101000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -4276.206633 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 340 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 17 + 0*t**2 + 0*t + 1\/6*t**4 + 4\/9*t**3. Factor a(q).\nAnswer: 2*q**2*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**3 + 15*k**2 - 7*k - 1. Let n be u(7). Is -1\/2 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-40) + ((-3)\/(-48))\/((-24)\/96). Let z be (-2)\/(-4)*8\/(-5). What is the smallest value in n, -3, z, -2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 + -35 + (8 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5200205 and 40033.\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzbzzzbzbbzz. What is prob of picking 3 b?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Add -0.886 and -2911.\nAnswer: -2911.886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -3*x + r, -2*x - 3*r = 346 - 347 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 38226785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2868 and -4.73?\nAnswer: -13565.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 439351396 to the nearest integer?\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, -5, -1\/3, 5, 0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -100111010?\nAnswer: -100110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40037 - -58494. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66 (base 8) to base 9.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3780\/72)\/((-3)\/(-40)). Calculate the greatest common divisor of b and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 + -18. Let g be (-48)\/20*(-15)\/v. Find the first derivative of -3*c**2 + 2*c**4 - g + 7*c**2 - 4*c**2 wrt c.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 10*i**2 + 15*i + 16. Let k = 18 + -10. List the prime factors of j(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21\/5 or 0.1?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 + -30. Let c = h - -5. Let k = c + -10. Solve 5*b - k = s, b + s = -0*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63350962 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 44*n - n**2 + 3.\nAnswer: -n**2 + 44*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -19.\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34826 or -34823?\nAnswer: -34823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0049675 rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.47 and 2030254.\nAnswer: 954219.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 114251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i - 1. Let p(t) = 2*t**2 + 3*t + 3. Let n(z) = -3*l(z) - p(z). Let m(o) = 3*o + 9. Give n(m(v)).\nAnswer: -18*v**2 - 108*v - 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 k when three letters picked without replacement from kkjkjjlrllk.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -630 + 730. Is n a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 2. Let b = -3 + q. Let r = 1 + -1. What is the closest to -1 in b, r, -0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 357988627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/12 + (-4)\/(-12). Suppose -25 = -5*f, 7 + 0 = u + f. Which is smaller: u or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 14) + -2 + 40 + -51 + 38.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002021120 + -122011?\nAnswer: -1002220201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmo when three letters picked without replacement from {m: 4, o: 7, d: 4}.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -61419602, -61419598, -61419594, -61419590?\n\"Answer: 4*q - 61419606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/88)\/(48\/3648)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*a, -4*o + 5*a = 11 - 5 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppsspppppp. What is prob of picking 3 p and 1 s?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y + 360916 = 360949 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 8, u: 2, p: 3, j: 7}. Give prob of picking 1 r and 1 u.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 556*k**2 + 18*k + 181. Let v(h) = -554*h**2 - 15*h - 182. Let y(s) = 5*q(s) + 6*v(s). What is the first derivative of y(i) wrt i?\nAnswer: -1088*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -l**5\/60 - 5*l**4\/24 - l**3\/3 + l**2. Let z be v(-5). Let y = 9 + z. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3178110850?\nAnswer: 2, 5, 1907, 33331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23\/(-5083)*143*(-3)\/21 - (-1)\/7.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12761 is divided by 44.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 339*q**3 - q**2 - 629*q**3 + 0*q**2 + 264*q**3 + 0*q**2 to a*q**3 + t*q**2 + p + x*q and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -77806822*m**2 - 19*m + 1505683 wrt m?\nAnswer: -155613644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 639431.8t to kilograms.\nAnswer: 639431800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 15 - 3)*(5 - 5 + o)*(-8*o**2 - 10*o**2 + 8*o**2).\nAnswer: -260*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/14 - (-1)\/(-52)*382. Is c smaller than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 17, 0, -3 in decreasing order.\nAnswer: 17, 5, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8297 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g - 4. Let o(k) = k - 1. Let n(r) = 30*o(r) - 3*u(r). Let d be n(6). Let p = d + -26. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {m: 2, o: 10, t: 2, f: 2, v: 1, w: 1}?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -5*k - 2 + 1, -5*u + k + 17 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 5*d - 42, -d = -2*s + 4*d + 6. Suppose -5*x + 17 + s = 0. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(12)\/sqrt(72))\/(sqrt(75) + sqrt(75) + 1*sqrt(75)*-1 + sqrt(75)).\nAnswer: -sqrt(2)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-111)\/(-24) + (-12)\/(-32). Let w = -18.4 - -18. Which is the second biggest value? (a) w (b) 0.3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-12)*(4 + -1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/26 in 10, -477, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, d: 1, p: 2, k: 8}. What is prob of sequence ppo?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 4*w - 3, v + 3*w - 7 + 0 = 0. Let m = 1145\/7 - 163. Do m and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5648459?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272*m = -265*m - 35. Is m\/((-20)\/7298)*(-2 + 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zsddpygs. Give prob of sequence yssg.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33649913 is divided by 736?\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 48285b (base 13) in base 16?\nAnswer: 1a3cba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 21 = 15. Suppose -2*z = -4 - 4. Suppose 0 = 4*i + 4*l + 40, -z*i + 2*i - a*l - 30 = 0. Put 0, i, -28 in decreasing order.\nAnswer: 0, i, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2155 and 85057850?\nAnswer: 2155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 211700 and 6844.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 16*y**3 + 16 + 14\/3*y**4 - 6*y**2 - 92\/3*y = 0?\nAnswer: -3, -2, 4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/30)\/(14 - (-141)\/(-12))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1647169549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.018 - 0.162. Let r = -28.1 + 28. What is the nearest to r in -1, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 5)*(-2 - p + 2)*(173*p + 22*p**2 - 173*p).\nAnswer: -44*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.11527265 times -0.1\nAnswer: 0.011527265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -847, -1111, -1395, -1699, -2023?\nAnswer: -2367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12689351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11986290 is divided by 84?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0*q*q)**(-1\/31)\/((q*q\/q**(-1\/3)*q)\/(q\/(q**4*q*q)*q)))**(-50) assuming q is positive.\nAnswer: q**(34400\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1615*p + 1809*p = -3298 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 6:58 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 - 112884410*p + 637144501052405.\nAnswer: 5*(p - 11288441)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -9*n - 62. Let t(m) = -20*m - 124. Determine 9*g(d) - 4*t(d).\nAnswer: -d - 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 0 - -3) + -38 + 33?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -5 (c) -2 (d) 7862 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llxxlxlllllllll. What is prob of sequence xl?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -317, -651, -1011, -1409, -1857?\nAnswer: -2367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 58 divided by -30\nAnswer: -29\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -6*q**3 - 2*q**2 + 3*q - 2. Determine o(2).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2694\/19 less than -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-15)\/(-3) - (-4 + 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyitiiitiyftfit. What is prob of picking 1 f and 1 y?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.37 + -0.07. What is the smallest value in 1\/4, x, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z*z*(z\/((z\/((z*z**(11\/2)*z*z*z)\/z*z*z))\/z))\/z*z)\/z**(1\/7))\/(z\/z**(8\/3)*z\/z**18))**(-43) assuming z is positive.\nAnswer: z**(-61447\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -12138*z + 43928. Let f(g) = -g + 19. Determine -2312*f(s) + t(s).\nAnswer: -9826*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 104973803 and 19086146.\nAnswer: 209947606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/28)\/w*w*w*w\/((w**9*w)\/w)*w*w*w**6*(w**(1\/10)*w)\/w assuming w is positive.\nAnswer: w**(159\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -9*j + 55. Let o(q) = q**2 + 6*q - 13. List the prime factors of o(j).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 939 - -dd87?\nAnswer: 108c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(3\/23)*((o**17*o)\/o)\/o assuming o is positive.\nAnswer: o**(371\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5469229354 plus 6654?\nAnswer: 6653.4530770646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b - b + 3*b + (4 - 1 - 1)*(-2 - 2*b + 2) + 4*b - 5*b + 0*b - 2*b + 2*b - 9*b to the form l*b + v and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32077858?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 18 = 3*z, -2*m = -356*z + 353*z - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**2 - 191*y + 4011. Calculate s(20).\nAnswer: -609","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - (-3 + 2))*-1. Let q be (t + -4 - 1) + -4. Let i = q + 30. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, y: 2, h: 1}. Give prob of picking 2 c and 1 h.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2324*d + 2196*d + 480286 = -11*d for d.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 11*v + 2. Let c(l) = -6*l + 0*l + 6 - 26*l - 3*l**2. Let r(k) = -17*a(k) + 6*c(k). Give r(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2 - 26*g - 25. Let h be y(14). Solve 4*s - h*f = -4*f + 6, -3*f + 2 = 4*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 6*u**3 + 150 - 158.\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5*p - 34 = 2*w, -12 = w + 3*p. Is -5 not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04301975 to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1889\/(-3) - (2 + 24\/(-9)). Let k = j + 412. Let s = k - -397. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 658 - 116.7. What is m rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u + 28 - 29 - 11*u - 2*u**2)*(-11*u - 3 + 11 + 9*u).\nAnswer: 4*u**3 + 20*u**2 - 142*u - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -214, -160, -72, 50?\n\"Answer: 17*j**2 + 3*j - 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4350 plus 0.3?\nAnswer: -4349.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23955610.09173 + 23955467. Let g = o - -143.1. Let v = 0.008 - g. Round v to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 94914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3803, -7559, -11315, -15071, -18827?\nAnswer: -22583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 + -16 + 10 - -39) + -20.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14988877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 218 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 236.31144 rounded to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 33*g**2 + 401*g - 2231. Give s(6).\nAnswer: 1363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/385 (b) -1 (c) -5 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -9 + 5 + 1 + 4 + 5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11 + 11 - 40*r**2 + (-r - 1 + 1)*(-4*r + 0*r + 2*r) - r**2 - r**2 + 4*r**2.\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -1\/8, 809, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + -3 + -2 + (-5 + -5 - -10)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -100201144 - 1?\nAnswer: -100201145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0)*(-q - 42*q**3 + 135*q**3 + 9458 - 9455).\nAnswer: 93*q**3 - q + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*s + 4674, 732 + 826 = o + 4*s. What is the smallest common multiple of 22 and o?\nAnswer: 17138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231183 at most as big as 228568?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3194)\/22 - 24\/(-132). Let p = 148 + n. Solve 6*l + 5 = -p*o + 2*l, o - 2 = -5*l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23\/207*9*(-17)\/1\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -58479, -58464, -58429, -58368, -58275, -58144, -57969?\n\"Answer: h**3 + 4*h**2 - 4*h - 58480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4 = p, 3*p = -f - 0 + 1. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 818027 is divided by 9095?\nAnswer: 8572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven halves of a minute?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 10:51 AM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-42)\/(-9) + (-4)\/6. Let w = p - 3. Let v be ((-2)\/4)\/w*-2. What is the nearest to v in -4, 0.3, -2\/15?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 8*b**2 - 5. Let a(x) be the third derivative of x**6\/120 - 3*x**5\/20 + x**3 + 2*x**2 + 570*x. Calculate 5*a(h) + 6*o(h).\nAnswer: -h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 2*u**2 - 2. Let d(w) = 3*w**2 - 5*w**2 - 2*w + 2*w. Calculate p(d(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 8*u + 138. Let r be i(-17). Solve r*k = 0, -4*k = 4*m + 104 - 128 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**3\/3 - 701279*f**2\/3 - 56097520*f\/3 - 373972800 = 0. Calculate f.\nAnswer: -701199, -40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*d - 3*a, -2*d + 4*d - 18 = 2*a. Suppose 0 = 2*t + 3*t - 5*l - 10, -l = -2*t + d. Put 2\/11, t, -4, 1\/2 in descending order.\nAnswer: t, 1\/2, 2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**6\/120 - h**3\/3 + 21*h**2. Determine u(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1683\/(-18)*(-92)\/(-391)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26598229337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 557220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/60*60\/216. Let x(g) be the third derivative of s*g**4 + 0*g**3 + 0 + 6*g**2 + 0*g. Let c(d) = 18*d. Determine x(c(u)).\nAnswer: 36*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17*r**3 + 670*r**2 + 4*r + 573167 wrt r?\nAnswer: -51*r**2 + 1340*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k + 18. Let m be i(-9). Let x(q) be the third derivative of 0 + 1\/192*q**4 + 1\/480*q**5 + 5*q**2 - 1\/24*q**3 + m*q. Factor x(f).\nAnswer: (f - 1)*(f + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/198 and -40\/3?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-4)\/(-45120)*-4). Is w bigger than 2820?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -193 - -215. Let s(n) = -130371*n**2 - 21*n + 26. Let p be s(h). Round p to the nearest one million.\nAnswer: -63000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.52221 litres in millilitres?\nAnswer: 37522.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 65*c**2 + 172*c + 1541. What are the prime factors of g(-9)?\nAnswer: 2, 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {d: 6, f: 1, a: 3, s: 8}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 28500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 220.432695 rounded to one dp?\nAnswer: 220.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -2*o**5\/5 - 21*o**4\/5 - 34*o**3\/5 - 14*o**2\/5 + 2637. Find s, given that n(s) = 0.\nAnswer: -7, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.698934609 rounded to 4 decimal places?\nAnswer: 0.6989","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/37917 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-35)\/(-42)*(-1 - 1)*(-1 - -4). Put 749, -4, p, 16 in ascending order.\nAnswer: p, -4, 16, 749","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m + 16. Let l be h(-5). Let q be l\/(-10) + 1751\/85. Find the third derivative of 9*k**2 + 7 - q + 14 - 8*k**6 wrt k.\nAnswer: -960*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -37 + 43 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {j: 10, h: 4, m: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77935734.\nAnswer: 2, 3, 4329763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 205 and 1890?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1442 - 0?\nAnswer: 1442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 20 (b) -95 (c) 607\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2190007823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 + 226\/(-44)*-1 and (-938)\/(-120) - 2\/5?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 2*c**2 - 4*c. Let b(p) = -p**2 - 1. Calculate 4*b(m) + o(m).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 176849064 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 0, 11, 26, 45, 68?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 5) + (-5 + -8 - 29) + 0?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/13)\/(c\/((c*c**7)\/c)*c*c)*(c\/(c\/c**0))**(-47) assuming c is positive.\nAnswer: c**(54\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 152018 and 532063.\nAnswer: 1064126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 1 = 2*j. Let v(t) = t**3 - 4*t**2 - 5*t - 7. Calculate v(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*5.86.\nAnswer: -1.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*l**3 - 49*l + 53*l**3 - 707*l.\nAnswer: 14*l**3 - 756*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 131*b**6 + b**4 - 674*b**2 wrt b.\nAnswer: 15720*b**3 + 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3073 = 309*a + 4343 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 3*p + 104, -5*a - 5*p + 37 + 93 = 0. Let z = -40 - -64. Suppose -a = -5*b + z. Calculate the greatest common divisor of 70 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2217345.\nAnswer: 3, 5, 13, 83, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**4*i**3 + 33305539*g**4 + 5*g**2*i**2 - 685*g**2*i + 2*g**2 - 4*g*i**2 - g + 28*i**3 wrt g?\nAnswer: 48*g*i**3 + 799332936*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 2*s = -7*s - 13, 0 = -2*z + s + 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (3 - -2) - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.02 and -210.30743.\nAnswer: -210.28743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 592*k + 4 = -596*k, -k - 1 = 5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -270 in -3\/5, 3, 177, 1\/2, 0?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -53502 - 5?\nAnswer: -53510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 4623*q - 17 + 1 - 4612*q.\nAnswer: 11*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bg when two letters picked without replacement from wgyybybebybwyggy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i**2 + i**2 - 4*i**2 + i**3 - 2*i + 1. Give v(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1615*p**3 + 7*p**2 + 6239*p**3 - 413*p - 3*p**2 + 7 - 7 wrt p.\nAnswer: 47124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -11*t - 16 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.7 (b) 1\/2 (c) 0 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -1593916 and -3187833\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40 - (15 - 12)) + (106 - -32)?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -19*i + 61. Let o be a(-7). Let z = o - -71. List the prime factors of z.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.59 + -0.42. Let v = p + -1.17. What is the smallest value in v, -0.2, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.909999464 to 5 decimal places.\nAnswer: -1.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*1*9\/(-18)*-3. Suppose 4*w = 3*w + o - 2, 0 = -o - m. Sort w, -2, 26, 2.\nAnswer: w, -2, 2, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by 194884\nAnswer: 15\/194884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1221.38 + -617.39. Round s to the nearest integer.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 5*x + 3*u, -u = -9*x + 4*x + 59. What is the remainder when 73 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/5 (b) -2\/11 (c) 0.5 (d) 11\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -392*u**2 - 373*u**2 - 23*u + 8*u + 15*u + 776*u**2.\nAnswer: 11*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -100 + 100. Let j be (n - 1) + 393708\/28. Round j to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 0 + (0 - -2) - -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -23 - 3*m - 14*m + 2*m - 8*m**2. Let i(t) = 3*t**2 + 5*t + 8. Let l(y) = 11*i(y) + 4*r(y). Determine l(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -156*p + 161. Let d(n) = -498*n + 482. Calculate 5*d(r) - 16*k(r).\nAnswer: 6*r - 166","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/80 and -73\/287806.\nAnswer: 11512240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -19*u**3 + 1074*u**2 - 564*u + 218. Determine w(56).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18923881*b**2 - 18923881*b**2 - 14*b**3.\nAnswer: -14*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pr when two letters picked without replacement from {p: 5, r: 3, l: 7, a: 2}?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 0.95039.\nAnswer: -4.75195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7391 at least as big as 7394?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -0.3 (c) 5 (d) 9\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b**2 + 2*b**2 + 0*b**2)*(0 + 2*b + 0) + (-7*b**2 + 0*b**2 + 3*b**2)*(3 - 1 + 6)*(4*b + b - 3*b) in the form i*b**3 + y*b**2 + q*b + r and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/1312064 and 73\/75696?\nAnswer: 3936192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((2\/3)\/(-1))\/((-2)\/4032). Suppose -5*z + t = 4*p, 0*p + 672 = 2*p - 2*z. Does 21 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 448 + 430 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(2448) + -1 + 2)**2 + sqrt(2448) + -3.\nAnswer: 36*sqrt(17) + 2447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + ((-3*-4*sqrt(1300))**2 - sqrt(1300) - sqrt(1300)))*-4 - ((-4 + sqrt(13))*-2 + sqrt(13)*1*-2).\nAnswer: -748808 + 44*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2469 or -41978\/17?\nAnswer: -2469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5660007\/(-2) - (-3)\/6) + 3. Round d to the nearest 100000.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8641.989 nanometers in centimeters?\nAnswer: 0.0008641989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 9:53 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 61864 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -45468151*-0.2\nAnswer: 9093630.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 - 42. Solve 0*r - z*r + 4 = 4*a, a = 2*r + 11 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1931.5 + 1934. What is the third biggest value in -3\/7, 6, r?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/4*(3\/(-2) + 4). Let w = 0 - -1. Which is the nearest to w? (a) g (b) 0.3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.44197 - -1.448. Round m to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of 3\/2*q**2 + 1\/20*q**5 + 0 - 1\/6*q**3 - 5\/12*q**4 + 8*q. Let f(b) = b - 4. Let c be f(8). Determine l(c).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6450*l**3 - 142 + 6483*l**3 - 147 - 158 + 445.\nAnswer: 33*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5 - 2. Let b = z + 5. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1205 and 7623312?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.04117598 and -42.\nAnswer: -42.04117598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 t, 1 v, and 1 n when four letters picked without replacement from fssfhtnv.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9168 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -303 divided by 15.\nAnswer: -101\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 9*n + 36 = 0. What is the second derivative of 2 - n - 126*a**2 + 7 - 191*a + 33*a**2 wrt a?\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 89 from 0.2500598792.\nAnswer: -88.7499401208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 19494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0190967911 rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -107*y**3 - 86*y**3 + 285*y**3 - 129 - 94*y**3 + 10*y to p*y + j*y**2 + h*y**3 + u and give u.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.6, 4, 0.03, 0, 0.0082?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - 0. Calculate the remainder when 4 - (-1 + (-1 - v)) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 812859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -419, -289, -171, -71, 5?\n\"Answer: -i**3 + 137*i - 555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**3 + 28*m**2 - 7*m + 353. Calculate the lowest common multiple of 2762 and x(-15).\nAnswer: 11048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 4. Let o = 36.152 - 35.752. Which is the closest to -1? (a) 2\/23 (b) o (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3126690 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396623 is divided by 949?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + l - 3. Let f be v(-2). Suppose -4*s + 1 + 16 = -g, 2*s - 13 = -g. Let a = 128 + -132. What is the third smallest value in f, a, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1128 and 9870.\nAnswer: 39480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13495 divided by -5.\nAnswer: -2699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 469442868*g**4 + 1016*g**2 + 53370.\nAnswer: 11266628832*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -127 * -249\nAnswer: 31623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 340 and 1190.\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (137\/1507)\/(1\/11)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppgbgppbphggpfggpp. Give prob of picking 1 p and 1 f.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 418 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.6, -54.9298, 0.09, -0.4?\nAnswer: -54.9298","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -32, -86, -184, -332, -536, -802, -1136?\n\"Answer: -g**3 - 16*g**2 + g - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thzhppx. Give prob of sequence pt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 28, 58, 86, 112, 136, 158?\n\"Answer: -y**2 + 33*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2579 minus 3?\nAnswer: -1.7421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 816 divided by 68?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 405691.\nAnswer: -4\/405691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19\/5 - 17\/5. Which is the nearest to 0? (a) g (b) 4 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**5*s**2 + 7561*l**3*s**3 + 61*l**2*s**3 - 3*l**2*s - 6*s**2 wrt l?\nAnswer: 120*l**2*s**2 + 45366*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -15, p - 4*y + 20 = -3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2002020 (base 3) in base 2?\nAnswer: -10111101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30\/11*p**2 - 18\/11 - 6\/11*p**3 - 42\/11*p.\nAnswer: -6*(p + 1)**2*(p + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25 * 2.42.\nAnswer: -60.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 17 = 31. Let p(l) = -39*l**3 - 44*l**2 - 98*l + 54. Let o(m) = -11*m**3 - 14*m**2 - 32*m + 18. Let k(r) = -7*o(r) + 2*p(r). Is 5 a factor of k(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5059698 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.02767663017 - -231.02767742217. Let g = 231 - s. What is g rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 121 - 123. Suppose w = -0*w + 2. Suppose 2*d - w - 4 = 0. Sort d, 2\/11, i in decreasing order.\nAnswer: d, 2\/11, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*z + 628 = -2*z, 950 = 3*n - 2*z. Suppose 0 = 5*q - 1263 + n. Is 45 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -158300 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 326\/5 - 9444\/145. What is the third biggest value in 0.5, a, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/(sqrt(30)\/sqrt(3)) - (-3 + sqrt(19)*-1)) + 2 + 3*(2 + sqrt(19))*6*-1.\nAnswer: -16*sqrt(19) - 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 16 - 23 = h, 0 = -3*r - 2*h - 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -438 - 48.\nAnswer: -486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*m + 248 + 94 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*945\/(-14))\/((-8)\/64*-20).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m = 43 - 967. Calculate the highest common divisor of m and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 i when two letters picked without replacement from {o: 4, i: 14}.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 1504*i + 9023. Let k be a(-6). Let d(p) = -13*p + 7. Let z(y) = -38*y + 20. Let x(v) = 14*d(v) - 5*z(v). Determine x(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4485\/7 + -616. Let y = 25 - g. Factor 0 - y*s**2 + 2\/7*s.\nAnswer: -2*s*(s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**5 - 60*s**3 - 80*s**2 = 0 for s.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 406195 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/14 - (-11316)\/161?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 13. Let v be o(7). Suppose -10 = -11*m + v*m. Solve -3*k + m*t - 21 = -2*t, t = -5*k - 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 58564 (b) -3 (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 231, 940, 2123, 3780, 5911, 8516, 11595?\nAnswer: 15148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 183.97*2\nAnswer: 367.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 6:34 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/(-30)*188\/2068.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5453, 21825, 49109, 87305, 136413?\nAnswer: 196433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 26) + 0 - -15 - -12\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23\/8 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.74 - 8.27825. What is k rounded to 2 dps?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 133, 2\/5, -142\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 3757304?\nAnswer: 751460.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -66*t**2. Let w(m) = 21*m**2 + 20*m**2 - 63*m**2 + 24*m**2. What is g(w(y))?\nAnswer: -264*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9824 and 480?\nAnswer: 147360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 12:08 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 6*i - 1. Let w = 1 - -4. Let b be q(w). Suppose 3*c - 3 = 2*c. Solve -4*r + 20 = o + b, c*r + 2*o = 17 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -87. Let j = 63 - c. Calculate the common denominator of 3\/(-9) + j\/(-16) and -103\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -442343, -884686, -1327029, -1769372, -2211715?\n\"Answer: -442343*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/10 + -2 - (-374)\/85.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g + 3. Let f be i(-5). Suppose 0 = -3*o + 26 + f. Let b = 23 - o. Calculate the remainder when b is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -77568277 to the nearest 10000.\nAnswer: -77570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65369 - 73631. Round k to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142, -511, -1116, -1951, -3010, -4287?\nAnswer: -5776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.56 + -0.56. What is the second biggest value in b, -0.2, -1\/30, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/12*(-176)\/(-154)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a day in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 719604634.\nAnswer: 2, 7, 23, 2234797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 4:35 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -154\/39 + 60\/13. Put c, -1\/9, -1\/2 in descending order.\nAnswer: c, -1\/9, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 1 - 107. Let u be 16\/6*(-3)\/r. What is the smallest value in u, -4, -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127979 is divided by 389?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -81*b**4*y - 5*b**3 - 4*b**2*y - 1048*y - 2 wrt b?\nAnswer: -324*b**3*y - 15*b**2 - 8*b*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 188, 0.4, 8, 9\/7, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 5:27 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m**2 + 0*m**2 - 5*m**2 + 3)*(-5*m - 2*m + 4*m) in the form c*m**2 + h + s*m + n*m**3 and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 2*m + 24 - 2, 4*b + 21 = -m for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2125 = 5*j, 2*o + 850 = -0*o + j. Let m be 1\/7 - o\/(-35). Is m greater than or equal to -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -23, -69, -145, -257?\nAnswer: -411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 82 - 87 - (-12 - (-10 + 4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133487 is divided by 7852?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -17*t**6\/10 - 143*t**3\/3 - 20*t**2 - 4*t. What is the derivative of a(p) wrt p?\nAnswer: -612*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9429659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12593 - 25194 + 8*t**3 + 12601.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10486586 and 2992?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + 8.1. Let g = z - 4. Let a = 5 - g. What is the second smallest value in 2, a, -10?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/(sqrt(14)\/sqrt(2)) - ((sqrt(13)*-1 + sqrt(13) + 3 - sqrt(13)) + sqrt(13))**2)*-2.\nAnswer: -2*sqrt(13) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-5)\/d**(3\/4)*(d**(-1))**28)**6)**11 assuming d is positive.\nAnswer: d**(-4455\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 14 = -2*k + f, -5*f = -3*k - 20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - ((4 - (-29 - (5 - 14))) + 5 + -8).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 782045276?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 1 - (0 - 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1779204 divided by -4\nAnswer: 444801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 87388793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 93403940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 9*k + 5 = -19, 0 = -5*k. What is the remainder when 1429 is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 132 - 255\/2*h**2 - 289*h - 1\/4*h**4 + 11*h**3. Factor x(b).\nAnswer: -(b - 17)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 10:24 PM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - y + 5 - 159.\nAnswer: y - 154","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 792*a**3*z - 1276*a**3 wrt z.\nAnswer: 792*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28705 divided by -5.\nAnswer: 5741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 631 (base 7) to base 4\nAnswer: 10330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 5302920?\nAnswer: 530291f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(2\/((-40)\/(-6))). Let j(r) = -r**3 + 12. Let a be j(0). Let q = a - p. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 45394?\nAnswer: 181576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 + 5636*g + 669672.\nAnswer: 4*(g + 131)*(g + 1278)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -51 in -4, -1, 49?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -11*c - 2. Let g be w(1). Let o = g - -12. Let x(i) = -3*i + 8. Let a(v) = -7*v + 14. Let y(m) = -4*a(m) + 7*x(m). What is y(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 83123*j. Let p(m) = m**2 + 1607. Give o(p(g)).\nAnswer: 83123*g**2 + 133578661","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 437*q + 437*q - 2 + 3560*q**2.\nAnswer: 3560*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1631.79 years?\nAnswer: 163.179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7 - 0.2. Let t = 67 - 70.01. Let w = t + 0.01. What is the second smallest value in w, l, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -26384, -1, 2358 in ascending order.\nAnswer: -26384, -1, 4, 2358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*l + 28*l + 0*l)*(2*l**3 + 4*l**3 - 4*l**3 - 2 + 2 - l**3 + l**3 - 4*l**3 + 2*l**3 + (-2*l**2 - 2*l + 2*l)*(4*l - 2*l - 4*l)).\nAnswer: 60*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-56) + 4\/14. Suppose 2*x - 1 = 3*l, -4*l - 2*x - 3 = -3*x. Which is the nearest to n? (a) l (b) 0.5 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 + 144. Let m = w + -256. Let f be (-5)\/30 + m\/(-12). What is the highest common divisor of f and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4)*g*g\/(g\/(g\/(g*g\/(g\/g**(-5\/4)))))*g)\/(g**(-1\/4))**(5\/2) assuming g is positive.\nAnswer: g**(-1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5 + -3*(-5 + sqrt(22)\/sqrt(2))).\nAnswer: -12*sqrt(11) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -2*f - h - 18, -22 = 3*f + 4*h. Let z = 11 + f. Solve z - 3 = 2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - 2)*(-z + 2 - 2) + 80314 - 80314 - 9229*z to r + v*z and give v.\nAnswer: -9227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54 - 5*v**3 + 54 + 4*v**2.\nAnswer: -5*v**3 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -29 + 5. Suppose -l*k + 35 = 11. Suppose 2*v + 11 = -j, 3*j - v + 5 + 28 = 0. Which is the nearest to j? (a) -3 (b) k (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*((-32)\/(-64))\/((4\/2)\/2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*w = 0. Suppose -3*u + 7*u = w. Solve 2*s + 21 = -5*c, 2*s - 9 = -u*c + 5*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzemmezzmmzmzm. What is prob of sequence ze?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -7*q + 3. Let f(p) = p. Suppose -6*n + 13*n - 7 = 0. What is n*l(z) + 5*f(z)?\nAnswer: -2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 9*u**2 - 2*u + 20. Determine n(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 163*i - 163*i - 28*i**5 + (-3 + 9*i**5 + 3)*(-5 + 0 - 6) + (0*i**3 - 6*i**3 + 4*i**3)*(i - i - 2*i**2).\nAnswer: -123*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 404 + -400. What are the prime factors of ((-8)\/28 + 6009\/84)*a?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 6*w + 2*w)*(-2*w + 2*w - 2*w) + 0*w**2 - 5*w**2 + 3*w**2 - 7*w - 4*w**2 + 22*w + 6*w**2 + 14*w**2 - w - 2*w + 2*w.\nAnswer: 18*w**2 + 14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, l: 4, a: 3, t: 2, u: 1}. Give prob of sequence ua.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5463062 centuries to millennia.\nAnswer: 0.05463062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11c5 (base 13) to base 7.\nAnswer: 10240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.063 (b) 7 (c) 4 (d) 0.1 (e) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0055431773 to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.18, 8, 3.9, -51, 27, 3?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g + 10. Suppose 0*y = -y. Give m(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1054185*s**5 - s**2*t - 702*s*t + 2*s + 1256*t wrt s?\nAnswer: 21083700*s**3 - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 658 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 100*h = -13*h - 2223 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*(-2 - 10\/(-4)). Suppose -2*n - 13 + 1 = m. Let t = n - -11. Calculate the highest common divisor of t and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 3 = -s. Suppose 4*f = -s*l + 96, 84 = 4*f - l - 0*l. Is f a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 679945?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (91 + 58 - 44)*(-3*k + 2*k + 0*k)*(-4 + 4 - 5*k) + (2*k**2 + 18 - 18)*(-1 - 3 + 1).\nAnswer: 519*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14392*k = o + 14395*k - 60, 2*k = -6*o - 0*k + 24 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4\/11)*s*s)\/(s*s*s**(2\/17)) assuming s is positive.\nAnswer: s**(-90\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hpdev. Give prob of sequence hpe.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a gram in milligrams?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*d - 28*d + 1 = 4*w, 5*d - w + 19 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -t + 7*t - 2*t + (-1 + 0 - 1)*(t - 5 + 5) as v + x*t and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.14 + 0.42. Let n = 470 - 470.759. Let k = n - j. Round k to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and -136702.\nAnswer: -136706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 9*t + 146. Determine f(-5).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 11*r + 14. Let j be b(10). Suppose 5*u - j*u - 6 = 0. Suppose u*g = 4*g + 128. What is the greatest common divisor of 16 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14442176\/27 - -534898. Find the common denominator of ((-73)\/4)\/(966\/(-8)) and o.\nAnswer: 4347","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10349 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 y when three letters picked without replacement from {f: 2, a: 2, y: 2, s: 1, c: 3, e: 4}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 15 = 75. Suppose -119*t - 39*t + 835 = 9*t. Solve t*y - w = 4*v + 4*y, 0 = 4*y for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1083 and 14103?\nAnswer: 5091183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + f - a + 15, -3*f - 5*a - 37 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2699*r - 1353*r - 1348*r + 19 - 2836*r**3 wrt r.\nAnswer: -17016*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 1\/3, 9, -4, -0.08, 84, -0.027?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 74 - 24 = 0. Suppose -w = -5*a + u, -2*w - 11 = -4*a - 3*w. What is the biggest value in a, 2\/11, 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6489 and 10.\nAnswer: 64890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 65.578142 and 0.0887?\nAnswer: 65.489442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 12*c**2 + 6*c + 15. Calculate s(9).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 41470352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lebe. Give prob of picking 2 e and 1 b.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a**8\/105 + a**5\/30 - 4*a**3\/3 + 9*a. Let k(v) be the second derivative of p(v). Find the second derivative of k(x) wrt x.\nAnswer: 192*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.58463 - 3.58457. Let m = 0.0362 + 7.9638. Let b = m - r. Round b to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 129?\nAnswer: 2838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 3)*(8*m + 8*m + 14*m)*(3 + 3 - 5)*(0*m - 2*m - 2*m)*(3*m + 4*m - 6*m).\nAnswer: -240*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/6*(-24)\/40.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 338 and 781287?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5.46 and -12469.\nAnswer: -12474.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1928010661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 113757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + b - 4. Let h(w) = 2*w**2 + w - 8. Let y(i) = -7*d(i) + 4*h(i). Let a be y(4). What are the prime factors of 7 - (a + -1 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**6\/540 + d**5\/54 - 7*d**4\/108 + d**3\/9 + 11*d**2. Factor c(q).\nAnswer: -2*(q - 3)*(q - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28731573 a multiple of 333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21948 + 9*v - 22419 + 44365 - 4*v.\nAnswer: 5*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 26?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/3, -0.1, -19\/22?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*m**4 - 2*m**4 - 2*m**2 + m**3 + 6*m**4 - m in the form c*m**2 + b*m + s*m**3 + j*m**4 + y and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -0.48, 1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 0, -2, 44\/239 in increasing order.\nAnswer: -2, -2\/11, 0, 44\/239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 8:09 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1145594.738 rounded to the nearest one hundred?\nAnswer: 1145600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 54722 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 11) + -17 + 19.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.4, 66\/365, -0.01?\nAnswer: 66\/365","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -50*w**5 - 31285*w**4 + 103740*w**3 - 28505*w**2 - 125740*w + 37740 = 0.\nAnswer: -629, -1, 3\/10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -6, 18, -1, 15 in ascending order.\nAnswer: -6, -1, 9, 15, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 4 = 2*r - k, -13 = -r + 5*k. Let q be 6\/16*r\/(-3). What is the biggest value in 0.5, 2, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of m**3\/6 - m + 21. Let w(a) be the first derivative of q(a). Let r(u) = 49*u. Give w(r(x)).\nAnswer: 49*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 85391, 87899, 90407, 92915, 95423?\n\"Answer: 2508*l + 82883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1397 - -2095. Suppose q - 2*i + 5*i - 171 = 0, 5*i - b = -4*q. List the prime factors of q.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1184 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3*sqrt(200) + 5 + -1 + sqrt(200)*1))**2.\nAnswer: 5120*sqrt(2) + 51456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 3:26 PM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95606, 95598, 95592, 95588?\nAnswer: 95586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (4 - 1) + 9 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f - 2*f + 0*f + 2*f + 0*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43108233 - 43108233 + 7*p.\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, 0.09, -1?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 70721702137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 9*t**2 - 10*t + 1. Give d(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 6:23 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11927*l**2*q**2 + 4709*l**2*r + 191655*l*q**2 - 2*l - q - 4*r wrt l?\nAnswer: 23854*q**2 + 9418*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -402 = -2*a - 0*a - 5*o, 4*a + 4*o - 828 = 0. Let s be 1\/(-4) + a\/(-4). Let l = s + 75. Calculate the smallest common multiple of 16 and l.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.3 (b) 3\/13 (c) 5 (d) -11 (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3, 36, 101, 204, 351, 548, 801, 1116?\n\"Answer: u**3 + 10*u**2 - 4*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 4*n + 20. What is z(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1219 = -2*u - 0*u - 31*i, 2*u - 10*i + 205 = -15*i for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28) + (-3*sqrt(28))**2 + 4 + 3.\nAnswer: 2*sqrt(7) + 259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(-1))**(-29)\/(h\/(h*h**(-8\/7))*h\/(h*h\/(h*(h**(-2\/3)\/h*h)\/h))) assuming h is positive.\nAnswer: h**(-1816\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.1, 0.024, 9, 62?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 k when four letters picked without replacement from {k: 3, d: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*v - 2*c - 1088 = 0, c - 2 + 2 = -5 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51960555?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**4\/11 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -4*g**5\/15 - 20*g**3\/3 - 70*g**2. Differentiate m(k) wrt k.\nAnswer: -32*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63779439 is divided by 42463?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*d + d + 3, -d + 4*s + 12 = 0. Let m be d\/(4\/2) + -5. Let n = -8 - m. Sort 14, n, 2.\nAnswer: n, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 127*x**3 + 15*x**2 - 20*x - 82. What are the prime factors of t(7)?\nAnswer: 2, 22037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -1\/2*q**3 + 0 + q**2 + 0*q + 0*q**4 + 1\/30*q**5. Differentiate d(h) with respect to h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -17*r**2 - r + 11. Let m(w) = -17*w**2 - w - 19*w**2 - 8 + 19 + 5 + 11*w**2. Determine -5*m(o) + 7*u(o).\nAnswer: 6*o**2 - 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 32 (b) 0.02 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -9*o**3 - 5. Let m(d) = -9*d**3 - 6. Let y(c) = c**2 + 32*c - 106. Let f be y(-35). Let h be -15*f*(-16)\/(-40). Calculate h*i(r) - 5*m(r).\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 5:55 AM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -0.9286501.\nAnswer: -2.7859503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 - -27. Let q(t) = 12*t**2 - 5*t - 13. Is q(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00061713246 to six decimal places.\nAnswer: -0.000617","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -31813, -123734, -276939, -491428, -767201?\n\"Answer: -30642*a**2 + 5*a - 1176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -218 + 416. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4033, 4, 48 in descending order.\nAnswer: 4033, 48, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 141 = 3*x - 0*w, 4*x = -2*w + 188. Suppose 5*g = x - 42. What is the smallest common multiple of g and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 2\/13, -29, -14 in decreasing order.\nAnswer: 2, 2\/13, -3, -14, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 v when two letters picked without replacement from {a: 6, v: 9, f: 2}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0612876 to 4 dps.\nAnswer: 0.0613","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 4*v + 1, -5*y - 1099*v = -1103*v - 9. Solve u = -y, -2*d + 3*u = u - 18 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57 - 60. Let x be 1 - u - 0 - 0. Suppose x*h - 3969 + 1101 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 7, -0.5, -0.005?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -31935 and -31937 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**3 + 137*d**2 - 1812164 + 15*d**2 + 1812159)*(-d + d + 2*d).\nAnswer: -6*d**4 + 304*d**3 - 10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5971798 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d. Let h(c) = -4*c - 3 - 4*c + 4*c - 7*c - c. Determine h(r(v)).\nAnswer: -24*v - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -10*r**3 - 2*r**2 - 5*r. Let q be k(-2). Suppose -75*b - 23702 = -q*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y + 3. Let s be a(-3). Solve s = 3*r - r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 11910 = -5*d, 0*d - 2366 = -x + 3*d. What is the smallest common multiple of x and 2629?\nAnswer: 26290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 18180.46377ms?\nAnswer: 0.000030060290625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qhhhhhqqqhqh. Give prob of picking 3 h.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a factor of 119274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23600 and 160.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15607530 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -27*o**3 + 6*o**2 - 5*o - 16. Let l be y(-5). Suppose -524*t + 530*t = l. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24625.413 milliseconds in minutes?\nAnswer: 0.41042355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 5*t**4\/12 + 343*t**3\/6 - 287*t**2\/2 + 17*t - 36. What is the derivative of w(x) wrt x?\nAnswer: 10*x + 343","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -27. Let j(u) = 2*u**2 + 18*u + 4. Let p be j(y). What is the units digit of (p\/30)\/(2\/25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1233, 1235, 1237, 1239, 1241?\n\"Answer: 2*o + 1231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 782667 to the nearest integer?\nAnswer: 885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 87006 - (-3 + (0 - 0)). Suppose i = 4*i - w. Let j be -1 + (i - 2) - 0. What is j rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40505704 to the power of 1\/3, to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (1 + (-27 - -26) + -25).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*d + 27 = 0. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 46, -0.4, 4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -728 + 1\/3*q**2 - 1090\/3*q = 0.\nAnswer: -2, 1092","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 628128?\nAnswer: 628128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1101 - -2?\nAnswer: -1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-8 - 0 - 3) + 20.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2033555 (base 6) in base 2?\nAnswer: -10111111100001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -739.8 at least 155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = a - 0*a - 4*p, -4 = -2*a - 3*p. Solve -3*r - 19 = -a*r - 5*t, -5 = 5*r - 5*t for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ziyxw. What is prob of sequence wy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-2 - 2 - (-14 + 6)) - -29?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 680796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 36*w + 110. Let u be d(-3). Let h(p) = -39*p - 57. Does 8 divide h(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 4*q + 6. Suppose -4*g = 3*i + 11, 4*g + 5 = -3*i - q*i. Let f be (-2)\/5 + i\/(-30)*-4. Which is smaller: -6\/7 or f?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*c*c\/(c**(-16)\/c)*c*c*c*c**(-2\/21) assuming c is positive.\nAnswer: c**(502\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -4, 0 in descending order.\nAnswer: 4, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.3 + 1.1. Let x(v) = -38*v + 2090. Let i be x(55). What is the nearest to n in i, -3, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5*w**2 + 1 - 6*w**2 - 5*w + 13*w**2. Let f be t(7). Let j be (-1 + 17)\/(0 + 1). Calculate the greatest common divisor of j and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -281 - -276. Which is the biggest value? (a) i (b) -8\/11 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w**3 - 35*w**3 + 14*w**3 + 20*w**3.\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(605) + (-1*sqrt(605) + -1 - sqrt(605)) + 0)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m + 57 = -17*m. Suppose m*f - 50 = 17*f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5*z. Let v(s) be the second derivative of s**4\/4 - 2*s**2 - 22*s. Let t(j) be the first derivative of v(j). Calculate k(t(p)).\nAnswer: -30*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -390*a + 12156. Calculate k(32).\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37\/5*v**3 + 0 - 1\/5*v**5 + 39\/5*v**2 + 38\/5*v - 39\/5*v**4 = 0.\nAnswer: -38, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c - 5*c + 2*c)*(-c - 3*c + 2*c) + 19*c**2 - 164 + 164.\nAnswer: 35*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 16\/96*-6.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2 + 145. Let n(l) = 340*l - 340*l - 2*l**2. Determine b(n(k)).\nAnswer: -8*k**4 + 145","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.2824 + 0.2824. Let z = 2.06 + -0.06. What is the nearest to o in z, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -165 or -5100\/31?\nAnswer: -5100\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 + 49. Suppose 0*l - 21 = -3*l. Let c(o) = 2*o - 12. Let g be c(l). What is the greatest common divisor of g and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 1043*y + 12 + 1002*y.\nAnswer: -41*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -16. Which is the third biggest value? (a) -8 (b) s (c) 0.1 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-20)\/1150)\/(4\/12570*-6). Let g = 17\/2 - d. What is the common denominator of g and -151\/6?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.1 (b) -2 (c) 807\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12 (b) -2323 (c) -2 (d) 0.1 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2114 - 1267. Is 20 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(168) - (sqrt(168)*3 - sqrt(168)))\/sqrt(12) - sqrt(14) - sqrt(14) - sqrt(14) - sqrt(98)\/sqrt(1008))\/(-4*sqrt(3200)*4))**2.\nAnswer: 16807\/58982400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - k**2 - 1. Let o(q) = 7*q**3 + 2*q**2 - 6*q + 10. Let d(g) = -o(g) - 6*w(g). Let r(j) = j - 4. Let m be r(9). Calculate d(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-344)\/(-80)) + (-1363)\/(-2610).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 45109192?\nAnswer: 135327576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/(4 + -4 + 1). Let f be (-4)\/10 - (-24)\/z. Solve -w + f = 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -11300*r + 371. Is m(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n + 7. Let w be z(14). Let t(x) = w + 17 - 36 - x**2 + 0*x**2 - x. Calculate t(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -986*w - 1. Let x be h(-1). Let z = -584 + x. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-5)*s)\/((s**(-18)*s)\/s*s*s))**(-28) assuming s is positive.\nAnswer: s**(-364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1254 - 3?\nAnswer: 1251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 20332 (base 6) to base 7\nAnswer: 10634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = -3*w - 2*w. Let r(b) = -b**3 - 36*b**2 - 110*b - 356. Calculate the remainder when w is divided by r(-33).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppppppp. Give prob of sequence pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 9:17 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1*-84)\/(174\/(-12) + 14). Calculate the highest common factor of 162 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2802760379.\nAnswer: 1361, 2059339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/351*134\/(21172\/4977)?\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -97 + 184. Let i = 187 - f. Calculate the common denominator of 49\/4 and (18\/5)\/(112\/i).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2298\/13, -4, -147?\nAnswer: 2298\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 46\nAnswer: -9.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 0, -54, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 1 + 0*n**3 - 3*n**3 + 2*n + 0*n**3 + 2*n**2. Let p = 12 + -12. Suppose -4*v + 0*v + 12 = p, -2 = -x - v. Give w(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/11 (b) 1\/6 (c) -2\/7 (d) -2\/3 (e) -0.13 (f) 34452\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 4*d + 3*d)*(d + d + 0*d) + (5*d + 2*d + 2*d)*(-6*d - 9*d + 3*d).\nAnswer: -104*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22157 and 6902.\nAnswer: 152927614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/231696 and 25\/24.\nAnswer: 231696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 5*q - 5. Let x(b) = -b + 1. Let k(w) = a(w) + 5*x(w). Let p(m) = 3*m + 3. Calculate k(p(g)).\nAnswer: 9*g**2 + 18*g + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -x + 42. Let n(r) = r**2 - 7*r - 1. Let d(v) = -5*h(v) + n(v). Give d(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 711 times 41799?\nAnswer: 29719089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -112 - -154. Suppose 3*k - 528 - g = 0. Is k a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 + 2*u - 2. Let f be p(3). Suppose -g - 46 = -3*c, 0 = -0*c - c - g + f. Calculate the remainder when c is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 5*m - 47, 4*v - 16 = m + 37. Suppose -2*o = -5*t - o + 390, -3*t - o + 234 = 0. Let z = t + v. Is z a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + t + 483 = 0, -5*a - 2*t = -8*a - 492. Let n = 399 + a. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 5*m**4\/24 - 4*m**2. Let z(v) be the second derivative of -v**3\/6 - 70*v. Calculate l(z(k)).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 216007 and 137459.\nAnswer: 1512049","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 57 (c) -6 (d) -3003\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -169*q**2 + 0 + 107*q**2 + 82*q**2 - 13 to the form m*q + f + t*q**2 and give t.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -560 (base 14) to base 8\nAnswer: -2050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 1:53 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - sqrt(6)\/sqrt(2)) + 2)*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.4 (b) 5 (c) -1 (d) -2 (e) 8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 4*q**2 + 2*q. Let h be c(0). Let d = -1905 - -1955. Sort 4, d, -4, h in ascending order.\nAnswer: -4, h, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 362133658.\nAnswer: 2, 181066829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 116*a + 5204. Calculate the remainder when k(-43) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 767 is divided by 100?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*l**2 + 21*l**2 - 11*l**2 - 3*l**2 to h*l**2 + p*l + s and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - -16002)\/(371\/371).\nAnswer: 16001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*g*v**2*x + g*v*x - 15*g*x - 1182569*v**2*x - 767122*v wrt v.\nAnswer: -14*g*x - 2365138*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2*j, j = 5*n + 650. Let r = 2 - n. What is the highest common factor of 12 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 15, -0.1, 4.8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + 2610\/(-234))*-117.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-2 + (7 - -2) - (7 - -3)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30116 and 22587?\nAnswer: 90348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1374 is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -158\/17 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1029964 is divided by 4242.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-3) - (-38104 + 91) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 5*u - 9. Let y be c(1). Let q(z) = -13*z**3 - 4*z**2 + 16*z + 76. What are the prime factors of q(y)?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmnmnmmnnmmmmm. Give prob of sequence mn.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*u**2 + 94*u - 94*u)*(2 - 3*u - 2) - 2*u**3 + 13*u**2 + 7*u**3 - 3*u**3 as r*u**2 + p*u**3 + k*u + o and give r.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 12*s. Let r(o) = o. Let a(p) = 6*r(p) - z(p). Let u(i) = 7*i**2 - 6*i. Let c(g) = -g**2 + g. Let l(b) = 6*c(b) + u(b). What is l(a(f))?\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of j**5\/5 - 31*j**4\/12 - 315*j**3\/2 + 1325*j**2. Differentiate r(a) wrt a.\nAnswer: 24*a - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31317 and 557063?\nAnswer: 949","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (((-44)\/3)\/(-2))\/((-2)\/(-3))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 1:22 PM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1020 > 1021?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -388\/7 + 1573\/28. Factor 1\/2 - m*f - 1\/4*f**4 - 1\/4*f**2 + 3\/4*f**3.\nAnswer: -(f - 2)*(f - 1)**2*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-396)\/(-2145)*(4725\/(-18))\/(-21)\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 25 = 0, 2*g = -2*z - z + 25. Suppose 3*k - 7 = 3*j - 2*j, -5*k = z*j - 45. Suppose -m - 27 = -k*m. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.336 - 1.036. Which is the third smallest value? (a) -2 (b) 3 (c) 0.1 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*o**2*q**4 + o**2*q**2 + 9*o**2*q - 62*o*q**4 - 2*o*q - q**4 wrt q?\nAnswer: -144*o**2*q - 1488*o*q - 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(2\/17)*r)*r\/(r\/(r\/r**(-2\/9)))*r)**(-10) assuming r is positive.\nAnswer: r**(-3220\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**4 + 22320*b**3 + 44443791*b**2 + 10694849874*b.\nAnswer: 3*b*(b + 278)*(b + 3581)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2303314134 + 3?\nAnswer: -2303314131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*t = -4*w - 29*t + 16, -t - 8 = -2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = y - 3. Let u = y - -8. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 6*m - 12. Let k be j(-7). Let p(v) = -7*v - 25. Let x be p(k). What is the third derivative of 3*g**2 - 6*g**2 + x*g**6 + 7*g**6 - g**2 wrt g?\nAnswer: 2040*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 2:56 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -18230.61 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 178005 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5155303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - a - 16, -a - 10 = -r + 4*a. Solve r*p + t + 11 = 0, -3*p - p + t - 7 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -37517*x - 787873. What is u(-21)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 510\/15 - (-4)\/(-2). Calculate the greatest common factor of 160 and o.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 17 (b) 100 (c) 1 (d) -1 (e) -3 (f) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l - 10368 = -16*l. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 141, 164, 203, 258?\nAnswer: 329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + (sqrt(288) - (0 + (sqrt(288) + 1 - sqrt(288)))) + 1)**2*5.\nAnswer: 600*sqrt(2) + 7225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ybympmmmhepeph. What is prob of picking 1 y and 2 e?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b - 5. Let t be -5*(2 - (-12)\/(-5)). Let p(s) = -t - 1 + 1 + s. Let x(i) = -6*i + 9. Let l(u) = 11*p(u) + 2*x(u). Calculate -5*l(z) + 4*v(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -95 + -4 + 100\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 14 - 10, z = -4*m - 6. Solve c + 2*b - 1 = 0, z*c + 2*b + 0 = -2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 23101*k - 69299. What is d(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, a: 3, g: 1, m: 1, d: 4, u: 4}. Give prob of sequence ug.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 32605439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19722*x**6 - x**3 + 155516*x**2.\nAnswer: -2366640*x**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 1645, -13, 6 in decreasing order.\nAnswer: 1645, 11, 6, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.115 (b) -5 (c) 34 (d) -2 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -12*u - 70. Let z = 59 - 65. Let x be w(z). Solve -d + 3*d - x = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/5901844082 and -57\/20?\nAnswer: 59018440820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggxgccgczbbzbxccgccb. Give prob of picking 1 g and 2 x.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 1. Let a(x) = 2*x - 3*x + 2*x + 4 - 6*x**2 - 2*x. Let v(o) = -a(o) + 4*w(o). Let y be v(-4). Solve -5*t - y + 3 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + z = p - 6, p - 11 = -4*z. Suppose p*m - 2076 = -5*m. List the prime factors of m.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -71*k - 6. Let d(v) = 24*v + 2. Determine 11*d(m) + 4*s(m).\nAnswer: -20*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (29\/2)\/((-1)\/(-2)). Suppose -4*y - n = -129. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 632.\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + 5 - (-4)\/1. Suppose 3*k = -5*v - 42 - o, -5*k - 2*v - 64 = 0. Which is greater: k or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 14. Let u(p) = 6*p - 30. Let i be u(f). What is the highest common divisor of i and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95921 + 27491 = 63*o - 18590. Is o a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3154 - 954 = 200*d for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 6.94. Let n = -2.94 - q. Let k = 2.6 - 0.6. Which is the biggest value? (a) n (b) k (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*6*((sqrt(2057) + sqrt(2057) + -2)*1)**2 + 1.\nAnswer: -197567 + 2112*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 47273, 2?\nAnswer: 47273","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.3, 12, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2\/3*g**4 - 16\/3*g**3 - 8*g + 0 + 38\/3*g**2 = 0.\nAnswer: 0, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/9 (b) -2\/21 (c) 0.3 (d) 2.574 (e) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4087223 is divided by 626.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*69382.4.\nAnswer: 27752.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5160536270?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, j: 2, v: 1, m: 6, t: 2, c: 6}. What is prob of picking 1 r and 1 t?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124756.\nAnswer: 2, 31189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*g + 2725 + 10335 + 9792 = 2*g for g.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6 - -4) + 7008\/3.\nAnswer: 2, 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2411 + 13?\nAnswer: 2424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 384\/832 + 917048\/52?\nAnswer: 2, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**4 + 3719556*u**3 + 1152902418876*u**2 - 13835230741152*u + 41506093939392 = 0.\nAnswer: -619932, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 47599 minus 11.595?\nAnswer: 47587.405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -2. Let o(l) = -4*l - 4. Let p be o(g). Suppose -2*a + 0*d = 4*d - 12406, p*d = -4*a + 24828. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, x: 2, n: 3, m: 2, p: 3, f: 1}. What is prob of picking 1 x and 2 m?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3*j + 65616, 2*s + 0*j = -4*j + 43746. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.514 - 1.51399271. What is x rounded to 7 dps?\nAnswer: 0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 28 = 3*n - 75, 4*n - 4*v = 60. Solve 5*y + 13 = 21*l - n*l, y - 7 = 4*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 417.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 129 + -90. Let l(m) = m**3 - 8*m**2 - m + 10. Let d be l(8). Differentiate 2*c**d - z*c - 8 + 39*c wrt c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pfgg when four letters picked without replacement from ffgfsfpgkgfpgfff.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b**3 + 12245 - 12245.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*p + 26 = 2, 4*p + 72 = 3*h. Let a be (-14)\/(-4) - 12\/h. Solve o = -2*x - 8 - a, -x + 4*o = -17 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 9. Let x(i) = i**2 + 2*i + 1. Let d be x(-3). Let q be y(d). Suppose -7*p + 11*p - 12 = 0. Put 4, p, q in ascending order.\nAnswer: p, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i. Let x(a) be the second derivative of -53\/6*a**3 + 0*a**2 - a - 18. What is x(t(w))?\nAnswer: 53*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2075, -4133, -6175, -8201, -10211, -12205?\nAnswer: -14183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 42\/11 + 6\/33. Suppose -5*a + p = -302, a = 4*a - x*p - 171. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j - 14. Let l be h(-10). Let x = 10 - l. Let t(z) = z**3 - z**2 - 4*z + 1. What is the remainder when t(3) is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 2*p + 39308 + 41126, 40217 = a + 6*p. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(405) - (sqrt(5) - sqrt(20))*1.\nAnswer: 3 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5376, 5356, 5322, 5280, 5236, 5196, 5166, 5152?\nAnswer: 5160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 36486 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -588, -2350, -5284, -9390, -14668, -21118, -28740?\n\"Answer: -586*v**2 - 4*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/3019436 and -5\/1725392.\nAnswer: 12077744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -128*h**2 + 650*h - 203. Determine x(5).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - g - 1. Suppose 5*s + 18 = -k, -3*k + 4*s + 2 + 20 = 0. Give x(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000825824482 rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -2309 and -40 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*d**2 - 72*d**2 + 32*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(19) - (0 + sqrt(1539))).\nAnswer: -48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 3*j**3 + 913701*j**2 + 69573077313*j + 347842544415 = 0?\nAnswer: -152281, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 50869309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 - -129. Let l be (-928)\/14 - 6\/(-21). Let s = l + d. What is the smallest common multiple of s and 18?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 0. Let k = 2 + z. Let j(x) = -x**3 + 3*x**2 + 2*x - 2. Let u be j(3). Solve 2*m - m - k = 0, -4*d + 2*m = u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - y - 90 + 76 = 0, -4*x + 4*y - 28 = 3*y for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -147.17044 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -1 + 2 + 14452*l**2 - 14449*l**2 - 1. Let s(f) = 59*f**2. What is s(x(i))?\nAnswer: 531*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.315538899 rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -34*r - 37. Let m be j(-3). Suppose 611 = 4*a + 1691. What is the units digit of 4\/(-26) - a\/m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-104)\/(-32))\/1 + -9 + 5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -114, 0 in decreasing order.\nAnswer: 4, 1, 0, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -26. Let v = 10 + -3. What is the least common multiple of q and v?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1972*j - 838*j - 2 - 1274*j.\nAnswer: -140*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.47 - 2828.\nAnswer: -2828.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*s + 2 = 0, 5*o + 5*s = -0*o + 30. Which is bigger: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4666 + -27871\/6. Let r be 0\/2 + 0 + 13698. Let y = r - 164471\/12. Find the common denominator of t and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24217 divided by 2\nAnswer: 24217\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -38 in -11, -1\/2, 6?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -38.535 at least -179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gpnqgzzo. Give prob of picking 1 p and 1 g.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - (-10 + 8) - -1) + -6?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*o = 928892 - 921496 for o.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 7. Let h = t + 5. Suppose 0*l + 3*s + 4 = -2*l, -4*s = l - 3. Sort h, -8, l in decreasing order.\nAnswer: h, l, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 17*j**3 - j**2 - 3*j + 1. Let c be w(3). Let i = c - 169. Suppose -i = -v - 106. List the prime factors of v.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, l: 13}. Give prob of picking 1 l and 2 r.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -13 + 9 - -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 350 - -17. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -670 by 18.\nAnswer: -335\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9869 + 9894. Is -1\/881 less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 4*g + 16. Let s be x(-4). Let w be (s\/12)\/((16\/6)\/(-4)). Is w at least as big as -13\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 12, -104*t + 103*t + 1648 = -3*r. Calculate the remainder when t is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 204.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 21*k**3 + 1070*k**2 - 50*k + 58. Calculate v(-51).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*i**3 - 3*i - 4*i + 5*i - 2*i to g*i**3 + s*i**2 + t*i + n and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 207243525 to the power of 1\/2, to the nearest integer?\nAnswer: 14396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 57, 66, 97, 162, 273, 442, 681, 1002?\n\"Answer: 2*t**3 - t**2 - 2*t + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -169872.6498 - -169604.6497342. Let h = -268 - v. What is h rounded to six decimal places?\nAnswer: 0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 9*q + 7. Let j be a(7). Let t = j - -4. Let u(k) = k**3 + 4*k**2 + 3*k + 2. What is u(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 433649398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y + 1. Let f be o(-2). Suppose 0 = -f*x + 9*x. Solve x = c + 3 - 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1564*b**5 + b**4 - 34*b**3 + 82921*b**2 + b + 1 wrt b?\nAnswer: 93840*b**2 + 24*b - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 462 a factor of 262965329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/(-150)*2)\/(2\/(-9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 3, 5*k - 28 = -3*a - 0*a. Suppose 8*z - 3*z = k. Which is smaller: -2\/15 or z?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -949, -5, -6, -10.\nAnswer: -949, -10, -6, -5, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/31 in 1\/6, 0.4, 1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 11*h**2 - 175*h + 200. Let a(f) = 5*f**2 - 87*f + 92. Give -13*a(x) + 6*g(x).\nAnswer: x**2 + 81*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 1111275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -62, 1\/16, -0.2 in descending order.\nAnswer: 1\/16, -0.2, -2\/5, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.09 - -0.09. Let s = -23.39464 + 19.394. Let b = n - s. Round b to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, c: 4, s: 1}. What is prob of sequence oocs?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**13\/(z\/(z\/((z*z**(-2\/9))\/z))))\/(z\/z**(1\/5)*z*z**(-7)) assuming z is positive.\nAnswer: z**(829\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/9 - 34*s**2\/9 + 62*s\/9 - 10\/3.\nAnswer: 2*(s - 15)*(s - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9245 divided by 12?\nAnswer: 9245\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4657 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-2) + 2\/4. Let r be (i\/2)\/(1\/5). Solve 3 = -r*s + 8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04778739 to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*k + 11754 = 122*k + 363*k for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -104 + 121 + 0*t - 82*t. Suppose -15 = 5*j + 10. Is o(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(182\/((-416)\/(-16)))*-32\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 102571.6538 rounded to the nearest one thousand?\nAnswer: 103000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.06*-79416.5\nAnswer: -4764.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 4874 divide 767689118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -5*w + 30, 5*w + 2*b - 22 = b. Suppose 0 = -w*u + 10 - 2. Suppose -36*x = 10*x - 14*x. Solve x*a + 2*a = u for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186946801.\nAnswer: 186946801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2267 = 5*v - c - 16599, 3*v = -5*c + 11314. What is the thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 110\/(-4)*(-1496)\/(-1100) + (-3)\/5.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 21, 34, 31, 0, -71, -194, -381?\nAnswer: -644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 - 1)*(-3052*g + 3052*g + 407*g**3 - 137*g**3) to p*g**3 + k*g**2 + z + q*g and give p.\nAnswer: -1350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-14)*((-120)\/(-6))\/(-40).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -230, 4\/7, -0.4, -3\/14, -3?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 20.52516 hours?\nAnswer: 73890576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -5*q, -5*k + 12 = -q - 3*k. List the prime factors of (-36)\/(-10)*q*(3 - 23).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 0)*3 - 2964\/(-1092). Let q = 2 + -3. What is the closest to k in -0.31, 4, q?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 8:12 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 1:19 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -87, 1\/4, 1\/3, 7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2888, -4637, -6386, -8135?\nAnswer: -9884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 392142937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 9:10 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -2436, 5, 0, 3 in decreasing order.\nAnswer: 5, 3, 0, -27, -2436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/156 and 107\/150125404.\nAnswer: 450376212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a kilogram in grams?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*y**3 + 2*y**2 - 2*y**2.\nAnswer: -152*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12484648, -12484623, -12484598, -12484573, -12484548?\n\"Answer: 25*u - 12484673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r + 6. Give i(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (42\/105)\/(2\/30). Suppose q*r = 10*r - 12. Suppose -2*n + z - 20 + 46 = 0, 32 = r*n - 5*z. Calculate the remainder when 53 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a week in minutes?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = -17*i - 51. Suppose i*g = -21*g + 750. Calculate the remainder when 136 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (7401\/4)\/((-6)\/(-216)*27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 906076870.\nAnswer: 2, 5, 29, 53, 167, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18 - 6 - 61)*(-3 - 3 + 4)*(144*k**2 - 72*k**2 - 70*k**2) + 4*k - 4*k - k**2 + (-4*k + 5*k + 0*k)*(0 - k + 0) as g + o*k + l*k**2 and give l.\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**4 - 4*u**4 + 3*u**4)*(-7303*u + 34750*u - 2 + 2 + 10543*u).\nAnswer: -75980*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**3\/13 - 92748*s**2\/13 + 2877050*s\/13 - 2784300\/13 = 0.\nAnswer: -46405, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 3*k - 19. Let z = 30 - k. Solve 8*x = z*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**5 + 56*i**4 - 1664*i**3 + 7680*i**2.\nAnswer: 4*i**2*(i - 8)**2*(i + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10010 (base 2) to base 13\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-3) + 112\/(-177). Let l(f) = 52*f - 575. Let v be l(11). Which is greater: v or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 216854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215 = -b + 2*n + n, 3*n = 5*b - 1075. Suppose 5*j = 5*w - b - 90, -143 = -3*w - 5*j. Is w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 390 divide 524152368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 13*o**2 + 27*o. Let r(c) = 7*c**2 + 13*c. Let g(w) = 6*j(w) - 13*r(w). Find the second derivative of g(t) wrt t.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 31462, -200, -2 in ascending order.\nAnswer: -200, -2, 31462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5394 + -3509. List the prime factors of l.\nAnswer: 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 5) to base 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30011 (base 10) in base 15?\nAnswer: 8d5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -21600\nAnswer: -86400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -73 + (60 - -19) - (42 + (-2 - 0 - -2)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eoo when three letters picked without replacement from oooeeoooo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4*i - 168 = 0, -5*s + 4*i + i + 200 = 0. Suppose 2*p + 39 - s = 0. Solve -3*f = 4*o + p - 24, -3*o - f = -11 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 5*b**2 + 4. Let z be (-36)\/(-24)*(-118)\/(-3). Suppose 7*u - 165 = 4*u - 3*t, 3*u = -5*t + 167. Let r = u - z. Calculate n(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 497 by 6.\nAnswer: 497\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1437 or -1438?\nAnswer: -1438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -15 + g - 5*g + 0*g - 9*g. Let p(q) = 0*q + 8 - q + 8*q. Give -6*n(h) - 11*p(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w + 2. Let u be (-24)\/16 - 1\/(-2). Let o be z(u). List the prime factors of ((-42)\/(-18))\/(o\/9).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 divided by -5.\nAnswer: -66\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45*u**2 - 109*u + 109*u)*(-4*u + u + 4*u) + (3 - 3 + 2*u)*(-2*u**2 + 1 - 1) + u**3 + 3*u**3 - 2*u**3.\nAnswer: -47*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2. Let v(h) = -4*h**2 + h - 2. Calculate -6*j(b) - v(b).\nAnswer: -2*b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11175 - 11093. Solve -132 = -10*x - b for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/67, -26, 12?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/80 and -15\/18850424.\nAnswer: 188504240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 997.3006 grams to tonnes.\nAnswer: 0.0009973006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 1. Let n(u) = u - 6. Let m(j) = -n(j) - 6*p(j). Let g(w) = -3*w**2 + 3*w. What is g(m(d))?\nAnswer: -3*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2567 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-108) + (-64)\/126.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 3*w + 0*w)*(-w - 3 + 3) + 124*w - 44*w - 38*w - 81*w**2 - 42*w.\nAnswer: -79*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 395064 and 66552?\nAnswer: 18568008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -152 + 146. Put 5, n, 1 in ascending order.\nAnswer: n, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**5 + 5*i**5 - i**5 + (4*i**4 + 2*i**4 - 5*i**4)*(i - i - 2*i) + 2*i**5 - 5*i**5 + 4*i**5 - 4*i**2 + 7*i**5 + 4*i**2.\nAnswer: 8*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 - -25. What is the common denominator of 7\/(4*i\/66) and -43\/7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.7 at most as big as 12064?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4956459121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 36219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -e (base 15) in base 12?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - sqrt(70)\/(sqrt(60)\/sqrt(6))) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 425\/118 (b) -6\/7 (c) 0 (d) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5087*s - 5258*s + 10351*s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 6 = -2*k - 0, -2*o - 2*k = 6. Sort o, 5, -5 in ascending order.\nAnswer: -5, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**3 + 4*p**3 + 4*p**3 + (4*p - 2*p + 0*p)*(-193 - 127 - 21)*(-p - p**2 + 0*p + 0*p).\nAnswer: 687*p**3 + 682*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8678.063 litres?\nAnswer: 8678063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*x - 202*x**2 + 625*x**2 + 1 - 349*x**2 + 2*x**4 - x**4 + x**4 + 2*x**4 + (-x**4 + x**4 + x**4)*(6 - 1 - 3) + 0*x**2 + 2*x**4 + 0*x**2 + 0 + 0 - x**4.\nAnswer: 7*x**4 + 74*x**2 + 5*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 34845451.3 to the nearest one million.\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-6)*y)\/y*y)\/y)\/y*((y**(6\/5)\/y)\/y)\/y*y*(y**(1\/6)\/y*y)\/((y\/(y\/(y*y**(-1)*y)))\/y)*(y**1)**(25\/3)\/(y**2)**(2\/7) assuming y is positive.\nAnswer: y**(9\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 35\/(-4) - 3\/12. Suppose 60 = z + z. Suppose 5*w = -2*p - z, -22 = 2*p - 0*w + w. Do p and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125b (base 12) in base 11?\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-34 - -73) + -69\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/4)\/((-13)\/78). Suppose -l*w - 6 = -2*a - 21, -3*a = -w + 5. Suppose 0 = w*m + 30 - 65. Solve -5 = 3*o + m for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 320*r**5*t**2 - 3*r**2 - 2*t**2 + 2 wrt r.\nAnswer: 19200*r**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973602 a multiple of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -913 greater than or equal to -915?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12366, 12365, 12364, 12363, 12362?\nAnswer: 12361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -16718a09?\nAnswer: -16718a10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*a = 198 - 30 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/3, -18574, -4, -1, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -7. Suppose 0 = 4*u + m - 9, -t*u - u = -2*m - 8. Suppose 0 = -j - q, 6*j + u*q - 4 = 3*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -u + 5*u + 36, -2*c = u - 4. Suppose 0 = -2*f - 5*o + 290 + 373, -c*o = 4*f - 1332. Calculate the remainder when f is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tytyyyyyyyy. What is prob of picking 2 t and 2 y?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 229 divide 424942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(384) + (1*sqrt(384) - sqrt(384))*5)\/(sqrt(588) - ((sqrt(588) - -2*sqrt(588)) + sqrt(588))))**2.\nAnswer: 800\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4*d - 1)*(967695 - 6306*d - 967695).\nAnswer: -25224*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*l + 6 = -5*l, 3*l = s - 3. Suppose -a - 5*p - s = 0, -4*p + 2 = 3*a - 0. What is the lowest common multiple of a and -3 - -6 - (1 - 3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 20 = 4*t, s - 17 = 5*t - 2*s. Let p = 2 + t. Let h = 44 + -439\/10. What is the second smallest value in p, h, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5440 - 4113. What is the remainder when g is divided by 120?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.36 - -3.66. Let r(y) = -12*y + 34. Let u be r(5). Which is the biggest value? (a) s (b) 0.5 (c) u (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 5*f + 2*f = 2*f, 14 = -4*t + 3*f for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.27 from -203716288.\nAnswer: -203716288.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*(-2)\/(-4) - 1. Suppose -4*h - 4*u + 15 + 33 = 0, -4*h + 13 = -u. Which is the biggest value? (a) v (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((1 - -6) + (-15 + 18 - 14)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336806 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/18 and -29\/1254.\nAnswer: 3762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of m**4\/6 - m**2. Let q(f) be the second derivative of 1\/6*f**3 - 3*f + 0 + 0*f**2. Give q(p(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 275660925 to the nearest integer?\nAnswer: 16603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lxx when three letters picked without replacement from lllgglllaglllllxlgx?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327186 is divided by 104.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -304 (b) 5 (c) 0.1 (d) -4\/9 (e) 3 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by -3.\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.7 - 8.22. Let s = -10.1919 - -0.0119. Let y = s + v. What is y rounded to zero decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -25 - 2442?\nAnswer: -2467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-18)*z**34\/z)**21 assuming z is positive.\nAnswer: z**315","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from ccckrckrrrrcr?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 671 + -672. Let h(d) = 5*d**3 + 10*d**2 + 5*d - 10. Let q(t) = 2*t**3 + t**2 - 1. Let j(b) = w*h(b) + 5*q(b). Factor j(i).\nAnswer: 5*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u - 5. Let m(l) = l + 1. What is 2*m(b) + x(b)?\nAnswer: 6*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 9) to base 2\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 29974 (base 14) to base 5\nAnswer: 11302034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + u + f - 189, -180 = -3*u + 2*f. Calculate the remainder when u is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 4 = 14*n - 10*n, -n - 10 = 4*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b**2 + 18*b + 17. Give n(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 22 + 144*d - 6 - 18. List the prime factors of q(2).\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 379888?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 - 167 = -20*y + 80. Which is the nearest to -0.2? (a) 10 (b) y (c) -0.2 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 910306 and 16808?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -0 - 20. What is the second derivative of -a*x**2 + 2*x**3 + 3*x**3 + 8*x + 5*x**2 wrt x?\nAnswer: 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -6008*i + 108172. Give c(18).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 0*m + 8*m - 10*m - 10*m. Let p(c) = 4*c. Determine p(o(n)).\nAnswer: -48*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 75*k + 18. Let b(w) = 75*w + 7. Determine -3*b(y) + 2*o(y).\nAnswer: -75*y + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (329 - -2)*(31 + -30) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 562828893 to the nearest integer?\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250*h = -g - 248*h - 12, -6 = -2*g - h. Solve -39*z + 43*z + 20 = g for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 4*n - 22. Suppose -4*m - 2*s = s + 13, -3*m = -5*s + 17. Calculate the lowest common multiple of m\/7 - 88\/(-7) and n.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17195318 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -0.03 (b) 0.5 (c) 0.4 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55 + 60. Let g(b) = 6 + 3*b - 3*b**2 - 2*b**2 + b. Let x(r) = -4*r**2 + 3*r + 5. Give t*g(f) - 6*x(f).\nAnswer: -f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -540 + 553. What is the smallest value in -6, -0.1, 1\/3, j?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/664 and -77\/1328?\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/9 - 3986*o**2\/9 - 443*o.\nAnswer: o*(o - 3987)*(o + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62.74 - 63. Let b = w + -3.64. Let g = 5.4 + b. Which is smaller: -2 or g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 7 = 7. Suppose -s - f = -2*q, s = 3*q + 2*q - 19. Suppose 5*u = -5*r + 30, u - 2 = r + 2. Solve 3*d = -w + 11, 0 = w - s - r for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 12*o**2 + 6*o + 1. Let y be l(-3). What is the greatest common factor of y and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5 + (3 + (sqrt(99) + 1*sqrt(99)*3)\/sqrt(9) - -2*(sqrt(121)\/(sqrt(22)\/sqrt(2)) + -2*sqrt(99)))**2.\nAnswer: -36*sqrt(11) + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 354 - 612 = 7*j - 335. What is the smallest value in j, -65, 0?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t - 4*t - t)*(-12 - 8 + 4)*(t + 0*t - 3*t) to the form d*t + g + v*t**2 and give v.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413251.\nAnswer: 413251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 13*b - 6. Suppose -u = h - 397, 3*u - 19*h + 20*h = 1187. Let q = -382 + u. Let d(a) = 26*a - 13. Give q*o(m) - 6*d(m).\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4 = -2*x - 3*r, 5*r = 0. Solve -x*n + 3*w = -2, 0 = 3*n - 5*n - 4*w + 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuttutgtuu. Give prob of sequence utu.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14864\/32 + -5 - (-1)\/(4 - 2) and 8?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86990 divided by -3?\nAnswer: 86990\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -52*m**2\/3 - 8*m\/3 + 288 = 0.\nAnswer: -54\/13, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17350 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 9*b**2 + 8*b + 8. Is h(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/7 - 128\/(-7). Let u(v) = -x*v**2 + 8*v**2 + 9*v**2. Let t(l) = 4*l. Give u(t(m)).\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201674 is divided by 1390?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**3 + p**2 - p - 1. Let s(o) = -63*o**3 - 18*o**2 + 21*o + 18. What is 18*j(w) + s(w)?\nAnswer: -9*w**3 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0070350531 to four decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 932a93 (base 11) to base 14\nAnswer: 2ad980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1*1249\nAnswer: 1249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -16212 * 3.72\nAnswer: -60308.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56 - 2*k**2 - 30 - 28 - k**4 to h*k**3 + w*k**4 + o + t*k + c*k**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/20 and 47\/268?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c - 2*c + 5*c)*(c + 0*c - 2*c) - 3*c**2 - 4*c**2 + c**2 to y + p*c**2 + a*c and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18854827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(24\/14 - 2). Suppose -140*z + 315 = -131*z. Let c be (z\/(-21))\/(10\/(-252)). What is the greatest common divisor of y and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 14 = -3*z, o = 4*z - 2*z. Solve -i + 9 = z*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 12 - 12. Suppose 3*g - n = -11. What is the third smallest value in g, 2, 0.2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-10)*15\/(-6). Let f(v) = -5*v - 2. What is the units digit of f(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/92416 and -227\/31920.\nAnswer: 9703680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 6*l**2 - 9*l - 14. Let r be m(-7). Suppose -4*a + 9 = -7. Let j be a\/12 - 0\/2. What is the closest to 1 in j, -0.1, r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(16\/7))\/(w\/((w*w\/(w*w**(11\/3)))\/w)) assuming w is positive.\nAnswer: w**(-125\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 5*z - 3*z)*(-2*z - 2*z + z) - 5*z**2 - 6 + 6 - z - 6*z**2 - 5*z**2 + 0*z**2.\nAnswer: -19*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60 + 60 + 2*c**4)*(c + 3*c - 3*c + (2 + 3 - 7)*(-5*c + 11*c + 23*c) + 4*c + 0*c + 0*c).\nAnswer: -106*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/24*(-63)\/2)\/((-13)\/(-104))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22372192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 472710*v**3 - 69*v**2 + 117*v - 2352947 wrt v.\nAnswer: 2836260*v - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4753270 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 172.1 - 182. Let l = -10 - g. Let d = 4.2 - 4. Which is the nearest to l? (a) -1\/7 (b) d (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2700*n**4 - 6*n**3 + 8*n + 45. Let a(q) = 2702*q**4 - 5*q**3 + 7*q + 44. Let f(c) = -6*a(c) + 5*h(c). Find the second derivative of f(s) wrt s.\nAnswer: -32544*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((1 + sqrt(539))*6)**2 + -6*((sqrt(1584) - (sqrt(1584) - (sqrt(1584) + 0) - sqrt(1584)))**2 + -1).\nAnswer: -18567 + 504*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 5*b - 2. Let f be s(4). Find the third derivative of 5*y**f + 0*y + 39*y**4 + 0*y - 29*y**4 wrt y.\nAnswer: 240*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -41*g**2 - 2*g + 1. Let y(k) = 42*k**2 + 2*k - 1. Determine -5*p(q) - 6*y(q).\nAnswer: -47*q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert add4b (base 15) to base 4.\nAnswer: 2013002201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 595, 589, 579, 565, 547, 525?\nAnswer: 499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 130 by -65.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 14 - 15, -5 = -p - 4*r for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b**3 - 49*b**2 + 17*b + 31. Calculate the remainder when 1088 is divided by c(12).\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*z - 2*z**3 + 24*z**2 + 8*z + 71*z**2 + (-2*z + 2*z - 2*z**2)*(-3*z + 6*z + z) - 3*z**3 - 3*z**3 + 8*z**3.\nAnswer: -8*z**3 + 95*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2732871 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*g - 5 + 5)*(0*g + g + g) + (-2*g - 4 + 4)*(-g + 2*g + 0*g) to b + k*g + m*g**2 and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1743 greater than or equal to 1742?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w - 8. Suppose 4*x - 24 = s, x - 20 = -3*x. Does 4 divide h(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2477.04 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 5*s**2 - 1837965*s - 22056300 = 0.\nAnswer: -12, 367605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75 + 86. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-38)*y)\/(y**(1\/3)\/y)*(y\/(y\/(y*(y*y**(-19))\/y)))**(-29) assuming y is positive.\nAnswer: y**(1460\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*p - 20 + 20 + (0*p + 2*p + 0*p)*(-1 + 1 - 2) + 3*p + 0*p - p.\nAnswer: 23*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0049 - -0.0951. What is the closest to -2\/7 in -0.3, 58, a, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) 9.83 (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/3)\/((4\/(-7))\/((-792)\/(-420)))\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.383362 millilitres to litres.\nAnswer: 0.005383362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -60b - 42?\nAnswer: -64d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -145*a**2 - 2*a*j**3 + 5*a*j**2 - 2*j**3 + 6*j wrt a?\nAnswer: -290*a - 2*j**3 + 5*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 e when two letters picked without replacement from {n: 2, e: 2, q: 1, j: 1}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -807 - -1191. Suppose -3*l = 4*k - 1395, l = 4*k + 65 + m. What is the remainder when l is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 2\/13911225, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/((sqrt(120)\/(-2*sqrt(10)) - sqrt(12)) + sqrt(12)).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times -35825560?\nAnswer: 25077892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 11:54 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*8\/(-156) + (-600)\/1365. Let c = 0 - 0.1. What is the closest to f in 0.4, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47310?\nAnswer: 2, 3, 5, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -5*h**2 - h - 5. Let k be g(0). Let a = k + 13. What is the remainder when 28 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -248*t**5 - 3*t - 153.\nAnswer: -4960*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 - 29. Let r be 8\/a - (-30)\/(-21). What is the third smallest value in 2\/7, -0.5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -3 - 5)*(-180)\/405.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 9*j**2 + 10*j - 2. Let o be v(10). Let z be (o\/(-2))\/((-2)\/(-34)). Solve 0 = 4*y - r - z, 0 = -5*y + 4*r - 4 + 17 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q = -24*q - 3*t + 2595, t + 1038 = 2*q. Calculate the highest common factor of 1211 and q.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 46541 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 140 - -26. Let n = z + -165.99933. What is n rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011101 + 10111100010?\nAnswer: 11001111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -111 + 67. Let r = t - -25. Let m = r + 19. Is m less than or equal to -2\/67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 7*y**3 - 100*y**2 + 29*y - 18. Let g be a(14). Let j be -1 - ((2 - 3) + 1). Sort 6, g, -5, j in ascending order.\nAnswer: -5, g, j, 6","meta":{"dup_signals":{},"source":"comparison__sort_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: Express (2*w + 0*w + 2 - 3)*(-2*w**2 + 2*w**2 - 2*w**2) in the form f*w**3 + d*w + q*w**2 + c and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*2 + (-1 - (-326047)\/(-30)). Let b = 26022 - 15153. Let u = b + l. What is the common denominator of u and 61\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15462 + 26648. What are the prime factors of l?\nAnswer: 2, 7, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7410)\/(-494))\/(10\/(-18))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 89*n + 517. Calculate the remainder when 1077 is divided by d(-5).\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21.4 - 20. Let w = 1.8 - t. What is the closest to 1 in w, -0.3, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/1 + (-1320)\/(-260) - (-2322)\/(-11934)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 12, -3\/7 in increasing order.\nAnswer: -3\/7, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 1 - d - 4)*(4*d + 5 - 5)*(3 - 4 + 3)*(-7 + 0 + 1 - d).\nAnswer: 8*d**3 - 8*d**2 - 336*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(-5))*b*(b\/((b\/(b\/(b**6\/b*b)*b))\/b)*b)\/b)**(-17)*(b**0)**0*b**(-2\/7)\/(b\/(b**(1\/6)\/b)) assuming b is positive.\nAnswer: b**(4909\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -3168?\nAnswer: 3164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 - 5 - 33 = 10*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11121 + -10200?\nAnswer: -22021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -32*-0.114\nAnswer: 3.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u + 12*u = 23*u + 16. Let q be 2\/(-6) - (-3)\/9. Solve q = -3*v + u + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366883.\nAnswer: 11, 33353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -84a (base 13) to base 10\nAnswer: -1414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/60714 and 29\/8142422.\nAnswer: 73281798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 67328812 to the power of 1\/2, to the nearest integer?\nAnswer: 8205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -38*i**2 - 40. Let l(b) = 4. Determine -40*l(p) - 4*n(p).\nAnswer: 152*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 96 - 63. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42347753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**4\/6 + 13*w**3\/2 - 183*w**2\/2 - 5*w - 30. Let c be t(10). Solve -c*x = -x + 18 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 11) to base 8\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73409144.\nAnswer: 2, 839, 10937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.143999625 - 0.144. Round h to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2. Let q(v) = v. Let i(h) = -h. Let a(k) = -5*i(k) - 4*q(k). Calculate f(a(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -368 by -1.\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 6 = 1955*q - 1957*q - w - 0*w, -2*w = 19*q - 78 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w - 2*w + 7325 - 2785 to s + k*w and give s.\nAnswer: 4540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/1*1)\/(1053\/234)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 449 = 3*w - 289. What is the remainder when w is divided by 59?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -h - 5*g, -297*h - 12*g - 25 = -302*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4090970*f**5 + 4*f**2 + 320855*f wrt f?\nAnswer: 245458200*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/1995 and 47\/21.\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yywykky. Give prob of sequence kwky.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/8)\/(3\/(-12)). Let r(a) = 3*a**3 - a**2 - 3*a + 1. Let x be 16\/7 - 4\/14. Let g be r(x). Calculate the highest common divisor of g and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -327.60755 to the nearest 10.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -40\/3. Let x = -2 - 1. Which is the nearest to 1? (a) p (b) x (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 875336 times -12\nAnswer: -10504032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3916920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 190 in 656, -0.3, -3\/7, -2\/3, 2, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**4 + 120*q**3 - 3525*q**2 + 3170*q + 6816 = 0 for q.\nAnswer: -1, 2, 48, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/15)\/(-2)*8\/((-360)\/63)?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 - 23. Let k(v) = -v**3 + 23*v**2 + 159*v - 3978. Let p be k(22). Solve -19*q = -n*q + p for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9656.991 litres in millilitres?\nAnswer: 9656991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -424*b**2*k**2*o - 2*b**2*k*o - b**2*o - 13*b*k + 3*k**2*o + 6*k*o wrt k?\nAnswer: -848*b**2*o + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18578.\nAnswer: 2, 7, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(2*sqrt(648)).\nAnswer: sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n + 2114 = 145*n for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7836996*0.4\nAnswer: 3134798.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3010 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 2*s + 2. Let i be y(2). Suppose 0 = -z + i*z - 90. Let g = -6 + 42. Calculate the highest common divisor of g and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i + 3. Let d(g) = 9*g - 13. Let h(u) = 6*d(u) + 26*y(u). Let r(o) = -4*o. Calculate r(h(k)).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -657337200 divided by 164334300?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -296*t**2 + 2 - 114*t**2 - 6 - t + 83*t**2 + 6 to i*t + d + x*t**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 43055753281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2348*b + 12*b**2 + 1138*b + 1168*b to n + f*b**2 + t*b and give t.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4 + (3 - 3 + 2)*(-4 + 4 - 1) - 5 + 1 + 2)*(-1 + 3 - 1)*(-2*g + g + 3*g).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 299921 or 299951?\nAnswer: 299951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -5*b**5 - 71450*b**4 - 7461165*b**3 - 199170920*b**2 - 191781200*b = 0.\nAnswer: -14185, -52, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2754 by -918.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244*d = 6*d + 56*d - 22900428. Is d a multiple of 264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, 14, -7, 6, 0, -2\/21 in increasing order.\nAnswer: -7, -2\/21, 0, 5\/4, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14100 rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 18*y**4 - 3*y**3 - 9*y**2 - 27*y + 6. Let p(l) = -l**4 + l**3 + l**2 + l - 1. Let v(f) = g(f) + 15*p(f). Factor v(a).\nAnswer: 3*(a - 1)*(a + 1)**2*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-4)*2\/3. What are the prime factors of ((-3)\/(-9))\/(g\/18)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x - 5. Suppose 5*m = -6*c + 3*c - 29, 4*c + 20 = -2*m. Let k be 26\/91 - (-46)\/(-14). Let v(a) = 2*a + 4. Calculate k*b(w) + m*v(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(304) + sqrt(304) + 1)*3 - -5*(sqrt(304) + -1))*5)**2.\nAnswer: -17600*sqrt(19) + 3678800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4 + 64*b**3 - 958*b**2 - 2112*b - 1089.\nAnswer: -(b - 33)**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 39 - 13 - 22 - -12\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/(-2))\/(-8))\/((-11)\/(-66))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**3 - 224*b**2 + 224*b - 219. Calculate g(111).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hee when three letters picked without replacement from {e: 2, h: 2, s: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 38*k**2 + 67*k - 103. Let l be o(-36). What is the greatest common divisor of 385 and l?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 6 = -4*r. Suppose 25 = r*j + 2*j + 5*l, 0 = -2*l. Which is the second smallest value? (a) 3 (b) j (c) 0 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1174029320*c**3 + 335*c**2 + 1880682*c.\nAnswer: 7044175920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2 - 6396*k + 44692. Give o(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 25*s**2 - 33*s + 13. Give n(-26).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 436780 divided by 87356?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-3 + 5 + (sqrt(847) - sqrt(847)*-1))**2*-1*5 + 0)*1.\nAnswer: -84800 - 2200*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32210 is divided by 16092?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i + 66. What is the lowest common multiple of m(10) and 3?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32? (a) 0.0988 (b) 0.4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -508 + 509. Which is the nearest to o? (a) -2\/17 (b) -3\/4 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 + 0*f**2 + 2*f**4)*(26 - 13 - 45)*(1 + 0 + 0).\nAnswer: -64*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 5:36 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**4 + 1230*j**3 - 1739*j**2 wrt j.\nAnswer: -48*j + 7380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 (base 16) in base 4?\nAnswer: 10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/7)*g**(-2\/25))\/(g**6)**(3\/7))**(-33\/2) assuming g is positive.\nAnswer: g**(14487\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 0*x**2 + x**2 - 12*x**3 + 6*x**2 + 14*x**3 to p + g*x + t*x**2 + r*x**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1505\/(-301) - (1 - (0 - -4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-6)\/108*(-4)\/4\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/15)*(d*d**8)\/d*d)\/((d**0\/d)\/(d\/(d*d**(-19)\/d))) assuming d is positive.\nAnswer: d**(452\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 46*w - 39*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 265 and 25793033?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 + f**2 - f**2)*(4 + 2*f**2 - 4) + 423*f - 6*f**4 + 82*f + f**4.\nAnswer: -f**4 + 505*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 9 = 4*q. Let y = q - 2. Let m(g) = -5*g + 3. Let c(j) = 11*j - 7. Let b(a) = 2*c(a) + 5*m(a). Give b(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 38. Let v be h(0). Let q = -4 + 7. Let i be ((-38)\/q)\/(4\/(-18)). Calculate the greatest common factor of v and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 12 = 11*d. Let v(o) = 129 - 8*o**2 - d*o**2 + 5*o**2 - o - 128. Calculate v(2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 10 = -2*a - 34, -5*j + 2*a = -53. What is the remainder when (-8 + 5 + 29)\/(2\/20) is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 121 + 117 + j - 350 + 113. Let l(m) = m. Let c(w) = -3*w - 51. Let u be c(-15). What is u*l(t) + 5*k(t)?\nAnswer: -t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 3*j**2\/2 + 51. Give m(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 113 + (4 - 2) + -25 + 8 + -7?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 5*y + 11. Let b be f(8). Let l = 10 + b. Let n(m) = m - 5. Let t be n(4). Put 1, t, l in descending order.\nAnswer: 1, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 10*b**2 - 26*b - 8. Let x be d(-12). Is (638\/(-4))\/((-8)\/x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11228 is divided by 535.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*i + 16. Let z(o) = -5*o - 11. Let s(k) = 2 + k + 1 + 1 - 2. Calculate i*z(c) + 22*s(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 5*q**2 + 2*q - 1. Let v be y(2). Let m(x) = -x - 5. Let i be m(v). Suppose i*c = 2*c + 12. What is the lowest common multiple of c and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**0)\/z*z)\/z*z)**(8\/3) assuming z is positive.\nAnswer: z**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-110)\/110)\/((-2)\/22)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65310 by 933.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27*(23155\/(-495) + 50)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 16 = -b, -3*y + 2*b + 23 = b. Is (-1004)\/(-18) + (1 - y\/9) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001173283206 rounded to six decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z - 2. Suppose j + 0*j = -3*y, 2*j = 4*y + 10. Let v be u(j). What is the smallest value in v, -2, -0.3, 1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1593914, -1593917, -1593920, -1593923?\nAnswer: -1593926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, l: 3, a: 1, o: 1}. What is prob of sequence oa?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.138 smaller than 0.04613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.94 + 0.06. Let g = 31 - 23. Are c and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10707, -15398, -20113, -24864, -29663, -34522, -39453?\nAnswer: -44468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 1)*420\/(-7). Let j = 3 + 2. Suppose 61 = j*s - 14. Calculate the greatest common divisor of s and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-190 - 232 + 88)*(3 - 4 - 1)*(1 + 0 - 2)*(-6 + 1 + 0)*(0*m - 2*m + 0*m) to the form u + l*m and give l.\nAnswer: -6680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 410002 to the nearest integer?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.34 - 0.04. Which is the closest to 1? (a) r (b) 0.2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) -1757.1 (b) -0.5 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -782, -71, -15 in descending order.\nAnswer: -1, -2, -15, -71, -782","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1071*b**3 + b**2*l + 17*b*l - 22*b - 3*l wrt b?\nAnswer: 6426*b + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -2498 and 1\/27 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 0 - 1 + 3*l - 2*l. Let g(j) = j**3 + 3*j - 1. Suppose 11*b = 14*b + 3. Calculate b*q(p) + g(p).\nAnswer: p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 524074, 524130, 524224, 524356, 524526, 524734?\nAnswer: 524980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3463.6 * 26.\nAnswer: 90053.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2365, 1572, 251, -1598, -3975, -6880?\nAnswer: -10313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*o - 4 + 4)*(3*o**3 + 2*o**3 - 4*o**3) - 3*o**4 + o**4 + o**4 - 6*o**4 + 4*o**4 + 0*o**4)*(-2 + 2 + 3).\nAnswer: -3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (450*m - 2 + 4 - 440*m)*(2*m**3 - 2*m**3 + m**3).\nAnswer: 10*m**4 + 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 23*s - 6152 + 6152. Let r(p) = -p**2. Give r(q(c)).\nAnswer: -529*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -5 + -2 + 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -9 + -4 - (6 - 18 - -3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10401031 + -11134?\nAnswer: -10412220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -24*i**5 + 36*i**4 - 30*i**3 - 18*i**2 + 32*i - 18. Let l(k) = -k**5 + 2*k**4 - k**3 - k**2 + k - 1. Let y(n) = -2*f(n) + 44*l(n). Factor y(v).\nAnswer: 4*(v - 1)*(v + 1)**3*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 17*m + 23. Let g be v(18). Solve -g*n = -j - 2*j + 19, -n = 4*j - 10 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 185*m**2*t**2 + m**2 + 206*m - 8859*t**5 - t + 53 wrt t?\nAnswer: 370*m**2 - 177180*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(5\/3)*n**(-1\/15)\/n)**10*n\/(n**(-6\/5)\/n)*n*n*n**(-3)*n**(-6)\/n*n**2 assuming n is positive.\nAnswer: n**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 12 = 3*z. Let t(b) = 22*b - 2. Let i be t(z). Suppose -2*d = -7*d + i. Is d a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.037 + -0.163. Which is the second biggest value? (a) 4 (b) f (c) 0.4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21\/13 + 207\/104. Sort -2\/9, -4, f in decreasing order.\nAnswer: f, -2\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 8\/4655?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52*z - 44*z + 2*z**3 - z**2 + 34593*z**5 - 34490*z**5 wrt z.\nAnswer: 6180*z**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 1654958\/7678 - (-20)\/44. Let i(n) = -n**3 + 5*n**2 + 6*n - 3. Let d be i(-5). Which is greater: h or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36656*u + 36654*u + 38 = 0 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 789063450.\nAnswer: 2, 3, 5, 7, 41, 18329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*o - 3*o - 370, 5*o + 5*f + 410 = 0. Let x = 142 + o. Calculate the remainder when x is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 315*i - 3120 - 31111 + 5251 for i.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence su when two letters picked without replacement from {u: 1, s: 1, k: 1, n: 1, b: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -4. Suppose -2*l + 373 - 1492 = -n, i*n - 4471 = 3*l. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4199, -4194, -4179, -4148, -4095, -4014, -3899?\nAnswer: -3744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 167164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/(-297) - 2320\/(-165). Solve 26 = -8*v - r for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/4538 at most -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10936 divided by 25541\nAnswer: 10936\/25541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*m**4*v**2 + 1878*m**2*v**3 + 2*m*v**2 - 2*m*v + 122*m - 6*v**3 wrt m?\nAnswer: -24*m**2*v**2 + 3756*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 7:43 AM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 385 and 2565.\nAnswer: 197505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19746985 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -2779*c**3\/3 - 2290*c**2 + 1610. Find the second derivative of s(x) wrt x.\nAnswer: -5558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/4, -198, -1\/19, -8?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14238, 14191, 14144?\nAnswer: 14097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000069447 rounded to six dps?\nAnswer: 0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3389 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p + 35*p - 4*p to the form q + z*p and give z.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 1. Solve -8 = -7*k + b*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 129814 by -2.\nAnswer: -64907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -240, -238, -236, -234, -232?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/(15\/6))\/(10\/65). Which is bigger: s or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 264.7981 nanometers to meters.\nAnswer: 0.0000002647981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 159 and 5.\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37884, 37883, 37882?\nAnswer: 37881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31456 is divided by 147?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/84*49*(-93)\/(-51646).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l*r**3 - 1001*l*r**2 - 818*l + r**3 - 763630 with respect to l.\nAnswer: -2*r**3 - 1001*r**2 - 818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5*d = 5291, 921 = x + 4*d - 386. Suppose -13*n + x + 592 = 0. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429*b + 1773 = -4662 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 9 - 1 = 3*x, -5*x + 6672*t - 13 = 6669*t for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u + u - 4*u. Let z(f) = -f + 1. Let i(q) = -8*q + 2. Let j(b) = i(b) - 2*z(b). Calculate h(j(y)).\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2199 - 0.22. What is o rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33495586 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (2 - -10)*(3 - (-42)\/(-12)) + 34652?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 494 - 491. Calculate the lowest common multiple of d and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96 and 324?\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*f - 1, 5*f - 2*f = -m + 4. Let k = 720.671 + -721. Let t = -0.229 - k. What is the smallest value in t, m, 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 6. Differentiate 0 + 3*b - 1 - q wrt b.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e10c (base 15) to base 11.\nAnswer: 67793","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 3. Let i(c) be the third derivative of -c**5\/60 - c**3\/3 - 223*c**2 + 2. Give i(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a factor of 74200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -10*l**3\/3 + 7. Determine q(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 5:45 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1234*h = -81695 + 22463 for h.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -816*t + 2. Let a(j) = -129746*j + 319. Give 2*a(s) - 319*y(s).\nAnswer: 812*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 1902.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*m - 884 = -9*m. Let a = 98 + m. Does 23 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + ((-48)\/20)\/(-2). What is the closest to n in 1\/4, -0.2, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 0 - -3 - 1. Let x be (s - -2)*(-1 - -2). Solve -x*w = 2 + 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from maqqpqsqsqqqqqsqm. What is prob of picking 2 q?\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1198*a - 44 - 408*a - 398*a + 35 - 395*a.\nAnswer: -3*a - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13336 (base 16) to base 13.\nAnswer: -29a49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b - 77 = 259. Suppose -3*u + 3*o + 291 = 2*u, -2*u + 2*o = -114. Let m = u - b. What are the prime factors of m?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165822.64 rounded to the nearest 1000?\nAnswer: 166000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 254360, 254372, 254394, 254432, 254492, 254580, 254702?\n\"Answer: n**3 - n**2 + 8*n + 254352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2 - 4 = 0. Let d(s) = -4527151 + 4527151 + s. Determine d(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 61315110788 - 2136.\nAnswer: 61315108652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2938, -5576, -8212, -10846, -13478, -16108, -18736?\n\"Answer: j**2 - 2641*j - 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 235409765 a multiple of 13379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 135 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 0 + 19 - 2 + a. Calculate g(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -38, -50?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (71 - 58) + -2 + -6 - (-5 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -169 (b) -4 (c) -4.3 (d) 0 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1656, -1656, -1648, -1626, -1584?\nAnswer: -1516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n**3 - 114*n**2 - 156*n + 1546. What is q(39)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32414.857581 - 0.03.\nAnswer: -32414.887581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 58 * 815.3\nAnswer: 47287.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (4 + -2 - (-1 + -2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 376*v**3 - 140*v**2 - 399*v**3 - 60*v + 60*v + 123*v**2.\nAnswer: -23*v**3 - 17*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10022 - 0?\nAnswer: -10022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 188 and 22084.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.7 - -6. Sort u, -1, -4 in ascending order.\nAnswer: -4, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.4, 0.0924, -0.0578, -13 in increasing order.\nAnswer: -13, -0.4, -0.0578, 0, 0.0924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -70? (a) 4 (b) -5 (c) 2 (d) 209.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + -2 + 90\/20. Let t = 1\/10 + o. Which is the closest to 0? (a) 2 (b) 0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f + 14*f + 4141 = -40*f - 36*f for f.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 9:38 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 2:48 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*2\/10*((-480)\/70)\/24?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70 - 130. Let r = m - -76. Solve s + 4*f + 2 = -s, -r = 4*s - 4*f for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2850\/4 - (25\/(-10) + 2). Let p = b - 342. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-20)\/6 + 3)\/((-5)\/(-30)). Let r(k) = -1. Let q(i) = i + 1. Give x*r(h) - q(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s. Let w(j) = -154*j - 336. Calculate w(m(p)).\nAnswer: -154*p - 336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a**3 - 30*a**2 + 37*a - 16. Is o(15) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1710*i - 1144*i + 140130 = -581*i + 322*i for i.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/4)\/(1\/(-20)). Let v be (-9)\/(-6) - 5\/g. Let o be v*615001 + (-11 - -9). Round o to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4005 is divided by 424.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/3 - 16*a**3 + 175*a**2 + 1250*a\/3.\nAnswer: a*(a - 25)**2*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 666*o - 666*o + 3532*o**2 + 0 + 0.\nAnswer: 3532*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 378 - 386. Suppose -u*c + 546 = 2*x, 5*x - 5*c = -100 + 1515. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13194 (base 11) in base 6?\nAnswer: -223150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1755 is divided by 299.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -10. Let o = -7 + z. Let y = 121 - 118. Put -4\/5, o, y in ascending order.\nAnswer: o, -4\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - (-12)\/18*(-6)\/1. Suppose -3*c = -4*c + 5*a + 376, x = -3*c + 2*a + 1167. Is 17 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56 + 28. Let v(y) = -5*y - 3. Let d(o) be the first derivative of 12*o**2 + 14*o - 57. Give h*v(m) - 6*d(m).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + -1 - 58*3\/(-30). Let g = u + -88\/35. Which is the closest to g? (a) 3 (b) -3\/4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t - 2 + 2 + (3*t - t - 4*t)*(65 + 94 - 31) to the form u*t + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/4? (a) 4 (b) 3 (c) -0.5441369\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -64879\/11 - -5898. What is the fifth smallest value in -8, 2\/5, 0.3, s, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4 + 5 + (sqrt(2057) + (sqrt(2057) + 2 + sqrt(2057) - sqrt(2057)))**2 + -2)*6.\nAnswer: 528*sqrt(17) + 49434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222*h**2 - 71*h**2 + 284*h**2.\nAnswer: 435*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9604964.\nAnswer: 2, 59, 40699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -53, -231, -527, -941, -1473, -2123?\n\"Answer: -59*h**2 - h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2 + 1. Let h be p(2). Suppose -1 = -j + 2*j. Sort h, j, -3 in decreasing order.\nAnswer: h, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -16*h. Let l(x) = -2*x. Let z(a) = 4*a. Let y(b) = 5*l(b) + 3*z(b). What is v(y(r))?\nAnswer: -32*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -15*u + 17. Give s(6).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -23*j + 54. Let f(q) = 8*q - 18. Let v(w) = -8*f(w) - 3*g(w). Give v(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31*d*h*u + 22353078*d*u**2 - 3*h*u**2 + 1566344*h wrt u?\nAnswer: 44706156*d - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*i + 17*i - 175 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 316 = 4*j - 1000, -3*j = 2*h - 989. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**3 - 2 - 5*x**2 - 3 + x**3 + 6*x. Let f(i) = -4*i - 8. Let w be f(10). Let b be 294\/w + 2\/16. Give y(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 1)*11\/198*9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 414824260 and 10300?\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18529 is divided by 261?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f + 134359*f**2 - 2*f - 134360*f**2. Let j(m) = m. Determine j(o(n)).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 39 - 14. Suppose -t*d = -q + 10, -4 = 3*q + q + 2*d. Let v = -10 + 19\/2. Is v > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + y - 20. Let b be a(0). Let d(g) = g**3 + 20*g**2 - 3*g + 18. Let k be d(b). Let w = k + 1073. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 908179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6004432*q**2*r + 2*q**2 - 6276332*q with respect to r.\nAnswer: 6004432*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/20 + (-20)\/(-200)*-73.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 2, v: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 447 + -443. Find the second derivative of -422*c**v - 27*c**2 + 294*c**4 + 70*c + 27*c**2 wrt c.\nAnswer: -1536*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by (-730)\/(-22) - 16\/88.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*1*153\/153.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*c + 1 = -g + 26*c, -9 = 3*g - c for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1961328407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 59629498 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 717 - 3657\/5. Let t(c) = c**3 - 5*c + 3. Let g be t(3). Let v = g + s. Put 0, v, -0.2, 2 in increasing order.\nAnswer: -0.2, 0, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 25*f**2 - 41*f + 38. Let g be s(2). Calculate the highest common factor of g and 301.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6 - 102*i**2 - 90*i - 19 + 13 wrt i.\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**3\/4 + 18518571*k**2\/2 = 0.\nAnswer: 0, 37037142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5544 - -530?\nAnswer: 10514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z + 7. Give v(10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(4\/5))\/(l*l*l\/(((l**(-7)*l*l)\/l)\/l)*l)*(l**(-1))**21 assuming l is positive.\nAnswer: l**(-151\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 232 + -686\/3. Find the common denominator of 45\/8 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of x**5 + 27*x**4 - 1656633*x**3 + 368191*x**2 - 549*x?\nAnswer: 60*x**2 + 648*x - 9939798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3.6974km?\nAnswer: 369740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of 1\/165*l**5 + 0*l**3 + 0 - 7*l**2 - 1\/220*l**6 + 0*l**4 + 0*l**7 + 0*l + 1\/1848*l**8. Suppose t(q) = 0. Calculate q.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*w**2 + w**3 + 4*w**2)*(6 - 3 - 1) + (37*w**2 + 709*w - 709*w)*(2*w - 2*w + w) as k*w + f*w**3 + p + a*w**2 and give f.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1318810 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 6:06 PM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddpfd. What is prob of picking 2 d?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-396)\/4)\/(-11)*(-2)\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-5) - (-62)\/10. Suppose -4 - s = -2*w + 4*q, 10 = 2*w + 3*q. What is the third derivative of -6*d - 4*d**5 + 2*d**w + 6*d + 2*d**2 wrt d?\nAnswer: -120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -205743696 by -2008.\nAnswer: 102462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-4) - ((-581)\/(-28) + -1). Suppose 29 - 209 = -4*b. What is the lowest common multiple of (-9)\/(b\/o) - -2 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 973, 1939, 2895, 3841, 4777, 5703, 6619?\n\"Answer: -5*w**2 + 981*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 6:33 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-1))**(-3\/19))**(-21))**(-11) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13901*q - 77 + 39 + 38 - 19232*q to the form u + p*q and give p.\nAnswer: -33133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 263 + 5*g**3 - 8*g**3 - 110*g**2 - 2*g**3 - 700*g - 1263.\nAnswer: -5*(g + 2)*(g + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30841? (a) 2 (b) 0.062 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378 is divided by 128?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - l**2 + 78. Let p = -76 - -76. Let b be j(p). Suppose -11*c + 10*c = -b. List the prime factors of c.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 761966.\nAnswer: 2, 380983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -195.2? (a) 1081 (b) 0.5 (c) -1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 15*z + 10*z = 21, 2*l - 4*z = 14 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 233\/((-32620)\/(-224))*(((-4)\/1)\/88)\/1.\nAnswer: -4\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2965693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aqa when three letters picked without replacement from aaqqqqqaaaaqqqaq.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-3))\/((-7)\/(-21)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -8*l**2 - 6*l + 6. Let b(i) = 130*i**2 + 36*i - 186. Let t(g) = -45*g**2 - 12*g + 65. Let z(u) = 6*b(u) + 17*t(u). Determine -11*v(f) - 6*z(f).\nAnswer: -2*f**2 - 6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmu when three letters picked without replacement from szumzkksszzssns.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58 - -128. Suppose -3*q - g = -4*s, 2*s - q = q + 34. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dem when three letters picked without replacement from mdameeb.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -416*x - 5 - 1 + 6 + 54*x to the form g*x + c and give g.\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 - (32 + -40)) + (-113 - 12)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 - 3. Let s = -41 - p. Let 4*j**2 + j**3 + 0*j**3 - j**3 + 4*j**s = 0. Calculate j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328366 is divided by 5466.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + -2 + 0\/4. Let s be j + 0 + 1 + -4. Let x(r) = -2*r - 2. List the prime factors of x(s).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 + 0.3. Suppose 6 = 6*k - 12*k. Let q be (k\/7)\/(-4*3\/(-7)). Sort q, m, 9 in descending order.\nAnswer: 9, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o. Let s(u) = 1132*u**2 - 2056. Give y(s(l)).\nAnswer: 2264*l**2 - 4112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1119538 divided by 116.\nAnswer: -559769\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-771.1\nAnswer: -771.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/490851?\nAnswer: 2\/490851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/4)*l)**9*(l**(-1\/4))**(-1\/30) assuming l is positive.\nAnswer: l**(1351\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooommoomoooo. Give prob of picking 4 o.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - ((-81)\/(-273)*(-12201)\/166 - -10)?\nAnswer: -5\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1105 divide 434797610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 941893, 1883790, 2825691, 3767596, 4709505, 5651418, 6593335?\nAnswer: 7535256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 3, -3*i + 0*i - 6 = 4*o. What is the smallest common multiple of 20 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 824 - 821. Let k = -112 - -80. Calculate the remainder when (-6)\/t - k - 9\/(-3) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191*a**2 - 63*a**2 - 37*a**3 - 61*a**2 - 67*a**2.\nAnswer: -37*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 51, 169, 395, 765, 1315?\nAnswer: 2081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.5 - -0.1. Let k = 0.4 + b. Let v = 0.5 + k. What is the third biggest value in -1, v, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-66)\/8 - (-18 - (-213)\/12). Let d(r) = 11*r - 2. Let a(v) = -23*v + 5. Let q(w) = -6*a(w) - 13*d(w). Does 17 divide q(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 128 and 5.8?\nAnswer: 742.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-196)\/4165)\/(-2*2\/(-10)). What is the closest to -37 in -1, 2\/9, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f = -49 - 31. Let y(o) = -o**3 - 5*o**2 - 2*o - 6. Calculate y(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 10:12 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20.8 + -1.2. Let u = i - -21.926. Round u to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.874 take away 123008.6?\nAnswer: -123009.474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 96 and -1.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64 + -5. Let v = -58.99999981 + l. Round v to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**5 - t**4 - t**3 + t**2. Let c = 99 + -105. Let o(r) = 9*r**5 - 39*r**3 - 18*r**2 + 12*r. Let l(h) = c*g(h) - o(h). Let l(w) = 0. What is w?\nAnswer: -1, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 8:26 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 53215 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25371 + -3247491\/128. What is the common denominator of 25\/194 and r?\nAnswer: 12416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1052674 (base 8) to base 5\nAnswer: 33042332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 76520827?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 935\/10 - 4\/8. What is the greatest common divisor of t and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/51153 - 72654304\/358071. Let o = 203 + i. Which is greater: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1699701411?\nAnswer: 3, 19, 3803, 7841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -110 + 112. Let h = 10 + -4. Suppose -3 = 3*v - h*v, 4*i + v - 57 = 0. What is the least common multiple of i and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 12, 32, 82, 180, 344, 592, 942, 1412?\n\"Answer: 3*r**3 - 3*r**2 + 8*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 35. Let q = 5568 + -5561. What is the third derivative of 17*m**5 + y*m**2 - 7*m**2 + 2*m**5 - q*m**2 wrt m?\nAnswer: 1140*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -8*d**5\/19 + 46*d**4\/19 - 84*d**3\/19 + 56*d**2\/19 - 4*d\/19 - 6\/19 = 0.\nAnswer: -1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 130 + f + 91.\nAnswer: f + 221","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1423)\/(-3003) + 8\/(-12). Let o = -1\/91 - v. Which is the closest to o? (a) -2 (b) -3\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8132 + -89?\nAnswer: -8221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -38 + 30 + 3*i**2 + 2*i**2 - 4*i**2 in the form y*i**2 + w + n*i and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58078 or -58075?\nAnswer: -58078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(637) - (-1*sqrt(637)*1 - sqrt(637)))**2 + sqrt(637)) - -2*(sqrt(143)\/(sqrt(33)\/sqrt(3)) + 0)**2.\nAnswer: 21*sqrt(13) + 17225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 22*q**2 + 38*q - 10. Let k be o(17). Let b = -4742 - k. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 229979*n + 1. Let w be f(-4). Let k = w - -39915. What is k rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {v: 1, o: 1, i: 2, a: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -13. Suppose 0 = 5*y + b - 76, 3*y = o*y - 5*b - 70. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.9284 + -0.0716. Put 5, l, 26, -2 in ascending order.\nAnswer: l, -2, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 - 18*g + 25. Let t be j(9). Let b(x) = x**3 - 4*x**2 - 4*x - 3. Let u be b(5). Solve 4*d = 5*w + 1, -u*d - 3*w = 2*d - t for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/260 + -523\/780. Let g = 0.06 - 0.12. Let s be 65\/70 + (-6)\/14. Which is the nearest to g? (a) 1\/4 (b) s (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**2 - 13*v + 7. Let u be l(6). Let t be (u - -4)*(-12)\/5. Sort t, 0, 0.3 in decreasing order.\nAnswer: 0.3, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 208, 2155, 7556, 18145, 35656?\n\"Answer: 289*j**3 - 7*j**2 - 55*j - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -105, -538, -1253, -2244, -3505, -5030, -6813, -8848?\n\"Answer: n**3 - 147*n**2 + n + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 8:44 AM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -282874, -282878, -282882, -282886, -282890?\nAnswer: -282894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 99\/(-24*(-90)\/240).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times -0.03204?\nAnswer: 0.001602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x. Let w = -2 - -5. Let b(l) = w*l + 0*l + 2*l - 3*l. Give b(n(u)).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/((p*p\/(p**(-26)\/p)*p*p)\/p)*p*p**4\/p assuming p is positive.\nAnswer: p**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*d = 42 - 19, 21 = 5*l + 4*d. Solve 0 = -l*v + 2*y - 4, 8*y - 13*y = 15 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.2 - 1. Let s = 1.95 - -0.05. Let n = -2.2 + s. What is the closest to 2\/5 in p, -0.3, n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/1279722?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -63 + 36. Let g = k + 25.2. Round g to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*q + 3. Let a = q - -3. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.188123ng to milligrams.\nAnswer: 0.000004188123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + g - 214 + 701 = 0, 4*g = 5*u - 821. Calculate the highest common divisor of u and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**12*c)**(-24\/11))**33 assuming c is positive.\nAnswer: c**(-1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.6 (b) 37 (c) -0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 4. Suppose 0 = -3*y + 3*u - k, 2*u + 8 = -5*y + 6*u. Let p = 8 - y. Is 4 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (7 - 1 - 15)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000348495363 to 6 dps.\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -18 - 41*u - 48*u - 7 + 85*u. Let m be b(-7). Let i(w) = w**2 - 5*w + 3. What is i(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 40 (b) 3 (c) -0.1 (d) 2 (e) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2077, 4146, 6203, 8242, 10257?\nAnswer: 12242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.043 + 0.343. Which is the second biggest value? (a) 3 (b) -6 (c) -2 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/7)*z*z**(-1\/8))\/(z**(-2\/9))**(-2)*((z*z**(-2\/19)*z)\/((z*z*((z\/(z*z\/((z*z**(-4))\/z)))\/z*z*z)\/z)\/z*z))\/(z**(5\/2)*z**8\/z) assuming z is positive.\nAnswer: z**(-42713\/9576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 315486962?\nAnswer: 2, 7, 22534783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 1. Let u = 27197\/35 - 777. Are j and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -73 - -65. Let m = 82 + -97. Let i = h - m. Solve -2*g + a - 6 = -i*g, -5*g - 3*a - 2 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 times -713\nAnswer: -570.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -107241.\nAnswer: 1\/35747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*w**2 + 1 - 6 + 0 + 7 - 51*w**2.\nAnswer: -64*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 5*k + 86. Let j be o(0). What is the common denominator of 16\/(-6) + 2\/4 and (j\/12)\/(-5*8\/(-12))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 9*v**2. Let b(m) = -m**2 + m - 1. Let k(a) = 4*a**2 - a + 1. Let i(s) = -3*s + 23. Let r be i(8). Let h(q) = r*b(q) - k(q). Give d(h(o)).\nAnswer: 81*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*z + 38 + 88 = -180 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 10) + 4 - 9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**3\/15 - 3192236*v**2\/5 - 764279077870*v - 9171318289000\/3 = 0.\nAnswer: -2394175, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11652 * 15.\nAnswer: -174780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.2 - 2.3. Let m = j - 3. Let k = m - -1. Is k != 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -121*h**4\/4 - 498*h**2 + 1714. What is the second derivative of a(p) wrt p?\nAnswer: -726*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/5))**(-1\/6)*(o*o*o\/o**(-1\/9))\/((o*o**(-2\/11)*o)\/o)*(o*o**(-1\/2)*o*o)**(-1\/4)*(o\/(o\/(o*o**7)))\/o**(-5) assuming o is positive.\nAnswer: o**(58349\/3960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/952 and -7\/72?\nAnswer: 8568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1)**(-44)\/((s**1*s)\/(s*s**(-3)*s*s)))\/((s\/(s\/s**1))**18*(s**(-5)\/s)\/s**(-1)) assuming s is positive.\nAnswer: s**(-59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/7)\/(4\/(-28)). Suppose -2*t + q = 2*l + 3*t, 0 = 2*t. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvvhvvoj. Give prob of picking 1 h and 1 j.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.9 - -0.9. Let r = z + -0.2. Let x = 18 + -18.3. Which is the closest to r? (a) 1 (b) x (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 276836438 to the nearest integer?\nAnswer: 16638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -5, 0.2, 221, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.7 - 3. Suppose 0 = -4*k + k + 12. Let h = -71 + 67. Which is the second smallest value? (a) i (b) k (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 12*s - 34. Let y be g(-6). Sort -14, -3, y.\nAnswer: -14, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -577 - 395 = -22*z + 130*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7605562768 to the power of 1\/2, to the nearest integer?\nAnswer: 87210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {v: 1, z: 6, u: 4}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.298 - -3.298. Which is the fourth smallest value? (a) 0.2 (b) h (c) 1.7 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34940792297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1343 (base 10) in base 5?\nAnswer: -20333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 52*i + 120. Let n be z(43). Let x = -246 - n. Calculate the greatest common divisor of 14 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 237 divided by 50\nAnswer: 237\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*h**3 - h**3 + 4*h**3 + (-5*h**2 + 4*h**2 - h**2)*(-3*h - 3*h + 5*h) + 0*h**3 + 0*h**3 + h**3 - 5*h**3 + 3*h**3 - h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(396\/405 - 1). Let i = 13 + -9. Let b = 33 - 28. Solve -3*g + 15 = -b*n + x, i*n - 12 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6684444 divided by 81?\nAnswer: -82524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2002 + 10?\nAnswer: -1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2330*v + 2332*v - 8 + 57)*(0*v + 5*v - 4*v) to a + p*v + l*v**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1695 is divided by 558?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 6*w - 3. Let n be o(5). Which is smaller: 3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -4*q + 88, 7767 = 3*q + 15530 - 7778 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - -354 - (-50 + 63). Calculate the greatest common divisor of 136 and q.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 501 or -0.3?\nAnswer: 501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-5)*((-28700)\/41)\/(-28)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, a: 18}. Give prob of picking 1 k and 1 a.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18317587 to the power of 1\/2, to the nearest integer?\nAnswer: 4280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 2*d + 14. Calculate h(-10).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssvsgsvvsvsssvssvsv. Give prob of picking 2 v.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 + 5*v - v**3 - v + 27 - 25. Let a(u) = -u + 3. Let y be a(6). Calculate w(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 5*t - 3. Let b(v) = -11*v + 7. Let z(m) = 2*b(m) + 5*f(m). Suppose 14*g - 17*g = 6. What is z(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.1 - 1. Let i = -212.022 + 208. Let v = i - -0.022. Which is the second biggest value? (a) 2\/3 (b) f (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -263952 to the nearest ten thousand.\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 165*b**2 - 1371*b - 2263. What is l(173)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/20)\/((-781)\/355))\/(33\/24)?\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j**3 + 6 + 10333*j**2 - 20662*j**2 - 18 + 10333*j**2 + 2*j**4 - 14*j to the form p*j**3 + f + m*j**2 + x*j**4 + t*j and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + 1 + (-2)\/1. Suppose 0 = 4*d - 15 - 1. Let i(j) = j + j - 4 + j**2 - 5 + d. Calculate i(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of t**7\/1120 - t**5\/40 - 3*t**3 - 12. Let v(u) be the third derivative of c(u). Determine m, given that v(m) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-10 - (-2 - 2)) + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6534011, 6534002, 6533987, 6533966?\n\"Answer: -3*v**2 + 6534014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -6*-5*(4*sqrt(68)\/sqrt(4) - (2*sqrt(272))**2).\nAnswer: -32639 + 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 0.5, 2\/9 in increasing order.\nAnswer: 2\/9, 0.5, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 31788\/25?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -4*y + 43. Let p be 1*(-1)\/(1\/(-2)). What is the third derivative of -4*r**6 - y*r**6 + 2*r**p - 21*r**3 + 21*r**3 wrt r?\nAnswer: -1200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 240 and 120?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 59?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**3 - 2*u + 3 + 0*u**3 + 2*u in the form q*u**2 + d + v*u**3 + w*u and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9510256 and 712?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) 6 (c) -932\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l**4 - 88*l**3 + 1908*l**2 - 6768*l + 6480 = 0. Calculate l.\nAnswer: -18, 5\/3, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -0*a - 4. Suppose 3*r = 2*l + 115, a*r + 2*l = -l + 125. What is the units digit of (-130)\/(-14) + (-10)\/r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 300 + 0.3056231.\nAnswer: 300.3056231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - 98 - (28 + -137)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 9 + 7, 1480*b + 30 = 1482*b - 6*n for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151 = 3*d + 158. Let o(g) = -35*g - 54. Let y be o(-3). Let x = y + d. Is x > -52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 4 + 0 - 1 + 3 + (0 - 2 + 3)*(0 - 1 - 1) - 6 + 4 + 0 - 3 + 0 + 4)*(c + c - c + 3*c - 2*c - 2*c + (c - 3*c + 0*c)*(-1 - 1 + 3)).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 5:55 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10.09369*0.1\nAnswer: -1.009369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*n - 16 + 19*n + 30*n + 32*n + 38*n.\nAnswer: 107*n - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -86501456 + 86501456 + 0*v - 2*v. Let q(c) = 34*c**2 + 4*c. Give j(q(i)).\nAnswer: -68*i**2 - 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 621401536?\nAnswer: 2, 7, 19, 10429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -43109 - -309?\nAnswer: -42800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -48. Let n be (-2)\/(-7) + (-10)\/r. Solve n*m - 3 = -m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bxx when three letters picked without replacement from {b: 16, x: 4}?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q + 16. Calculate z(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(5) + sqrt(5) + -2*(-1 + sqrt(5))**2 + (-1*sqrt(10))\/sqrt(2).\nAnswer: -12 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 5, -12, 8 in descending order.\nAnswer: 8, 5, 1, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19517, 19565, 19653, 19787, 19973, 20217, 20525?\nAnswer: 20903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 227 - 228.47. Let n = -2775 - -2789.27. Let t = m + n. Round t to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/54763 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 87245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 560880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1992915.\nAnswer: 3, 5, 67, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 33*w - 97. Let o be (-13)\/(39\/18)*1\/(-2). Let l be b(o). Solve 4*c + 4*t = 3*t + 2, -t + l = 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - ((-5 - -2) + -2) - -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2605646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/1872 and -74\/10515.\nAnswer: 6561360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 674.70953 to the nearest integer.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -514010 (base 6) to base 4\nAnswer: -22001112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29859774?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-26)*(-511368)\/10728.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11.27504 + 36879748\nAnswer: 36879736.72496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10, -4, -60, -176, -370, -660, -1064?\n\"Answer: -3*v**3 - 3*v**2 + 16*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40508673277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -2 (c) 103 (d) 0.68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1814\/108739 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -24\/10187?\nAnswer: -24\/10187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -154, -159, -176, -211, -270, -359, -484, -651?\n\"Answer: -q**3 + 2*q - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bqqkmbbmbmmyqqrmb. Give prob of sequence kb.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 51, 68, 107, 174, 275, 416?\nAnswer: 603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -1231*f**7\/21 - 352*f**4\/3 + f**3\/3 - 3*f - 299. Find the third derivative of x(n) wrt n.\nAnswer: -147720*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 304497?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/5, 2, 13, -1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -d**6\/120 - d**5\/12 - d**3\/3 - d**2. Suppose -11 = 2*i + 1. What is the units digit of w(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 3*a - 36. Suppose -4*v = n - 24, -3*n = -4*v - 0*v + 8. Suppose 3*p - 2*h + 12 = 4*p, a = -2*p + v*h. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 3*j + j)*(0 - 2 + 0) - 31 + 31 - 3*j + (0 - 1 + 0)*(-2 + 2 - 2*j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -307*i**2 - 3*i + 86*i**2 + 3*i + (-2 - 1 - 2)*(2*i**2 - 3 + 3).\nAnswer: -231*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2007, -1938, -1779, -1494, -1047, -402?\nAnswer: 477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f**2*l - f**2 - f*l**2 - 115*f - 100*l**2 wrt l.\nAnswer: 2*f**2 - 2*f*l - 200*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3*(-2*sqrt(637) + 2 + 5)*-3)**2.\nAnswer: -15876*sqrt(13) + 210357","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 5052, 0, -2, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4379467*i**4 - 183115*i**2 wrt i?\nAnswer: 105107208*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2134*c**2*d**2*r + 32303*c**2*d**2*y + 21*c**2*r*y - 779*c**2*y + 17*c*d*r*y - 2*d*r*y - 7*y wrt d.\nAnswer: 4268*c**2*r + 64606*c**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5343931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r = 4*r - 15, 4 = -2*u - 4*r for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1840 = -2*a + 5*h + 1804, 0 = -4*a + 4*h - h - 44 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bcbb when four letters picked without replacement from cccbccccbcbccccccbcc?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/6)\/(9\/(-42)). Suppose 5*g = 5*r + 15, -x = -2*g + r - 1. Suppose -g = -2*n + 7. Solve -n*f - 1 = -6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -805649, -805650, -805651, -805652, -805653?\nAnswer: -805654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 + -33. Let f = 15 - a. What is the smallest common multiple of f and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by (-1)\/(1\/(-5)) + 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75996341 to the nearest integer?\nAnswer: 8718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5083 + 5107.13. Let q = -10 + 34. Let w = y - q. What is w rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 6*w**3 - 6*w**2 - 6*w - 8. Let g(f) = -f**4 + 5*f**3 - 5*f**2 - 5*f - 8. Let n(s) = -6*g(s) + 5*p(s). Differentiate n(q) wrt q.\nAnswer: 24*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18291\/299 - 25 - (-108)\/(-621)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xl when two letters picked without replacement from lmlmmlmxml?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 5*r = -173501 + 173416, -25 = -3*y - 4*r for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - 0.0597041.\nAnswer: 1.9402959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 895 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*n + 29 = -211 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2525*b - 27786. Calculate d(-11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 4. Suppose 3*q - 1 = b, 2*q - 2*b = w*b + 4. What is the third biggest value in q, 0.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + 0 + 3 - (5 + 0 + sqrt(68)))**2*-6*5.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p - 22. Let n be (28 - -1)*-1 + 3. Let v be k(n). Calculate the highest common factor of 12 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1995540?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 5*d = -3*s - 8, 2*d + 14 = s for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -102486.4 to the nearest 10.\nAnswer: -102490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -25573 (b) 0 (c) 4.634\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3531 or -24720\/7?\nAnswer: -3531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 14*z + 4. Let n(s) = s**3 - s**2 + 12. Let g be n(0). Let f be u(g). Suppose -3*w - 2*x + 20 = 0, -6*w = -w + 2*x - f. Is 5 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 6:41 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-157)\/3454)\/((-2)\/4)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 - -20. Suppose 25*f = 30*f + 4*k + 161, -4*k - 132 = 4*f. Let q = j - f. Solve -n + q*n = 4*d - 16, -2*n = -d + 7 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 1:01 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -270 - -480. Suppose g = -g + t. Suppose -5*c + g - 20 = 0. List the prime factors of c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -5*p + 791 + 2039, 0 = j - p - 1422. List the prime factors of j.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 246 - 132. Let s = -67 + v. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 55.109 and 275480.\nAnswer: 275535.109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w - 20 = -164 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 235, 462, 677, 874, 1047, 1190, 1297?\n\"Answer: -z**3 + 234*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/7)\/(u*u**(-3)))\/((u\/(u\/((u\/u**(-3\/4))\/u)))\/u**(-2\/15)))\/(((u*u**(-1))\/u)**(-1\/2))**(-47) assuming u is positive.\nAnswer: u**(10219\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1377 and 11529?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 74595 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 4*t**2 - t - 5. Give d(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9 - 9.46881.\nAnswer: -10.36881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2601*c**3\/4 + 7208*c**2 + 18277*c - 9604.\nAnswer: (9*c - 4)*(17*c + 98)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, 1, 1\/94, -5, -1\/27, 0.1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 796 < 792?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - 0.3. Let y = 11\/5 - 43\/15. Let t = 647 - 646. Put t, y, 0.2, p in increasing order.\nAnswer: y, p, 0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 81 + -78. Solve m - 4*k = -3, 0 = -d*m + 2*m + k for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44217770 to the power of 1\/3, to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2066 (base 7) in base 6?\nAnswer: -3222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 142 + -125. Suppose -51 - 37 = -2*w. Let j = w - x. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of 48103*o**5\/20 + 7*o**4\/6 - 2*o**3\/3 + 13*o**2\/2 - 143*o. Let b be a(7). What is b rounded to the nearest one million?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 178 + -449. Which is greater: -272 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -5, -4, 4, 2, -2416 in descending order.\nAnswer: 4, 2, -4, -5, -18, -2416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357546.\nAnswer: 2, 3, 7, 8513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20 - 20 + 11*g**2 + (3*g + 4*g - 4*g)*(-5*g - 2*g + 4*g) - g**2 - 4*g**2 + 4*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105628900036*i**3 - 211249999928*i**2 + 15600144*i - 288 = 0. What is i?\nAnswer: -2, 6\/162503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.04 + 1.16. Let m = 1.35 - -0.4. Let v = k - m. Round v to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110 (base 2) in base 8?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -149, -660, -1529, -2762, -4365, -6344, -8705, -11454?\n\"Answer: -h**3 - 173*h**2 + 15*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 - -41. Suppose 0 = 14*j - t*j - 16. Let y(v) = 455 - 6*v**j - 455. Let x(u) = 2*u**2. Calculate y(x(g)).\nAnswer: -24*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 3 (c) 1\/3 (d) 0.0177 (e) 0.2 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-45)\/54*42\/(-70)*1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jqqqqjqqqqjjqqqqqqqq. What is prob of sequence qqqj?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6163 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-6) + 26\/(-6). Suppose 11*y - 1 = 153. What is the smallest common multiple of ((-3)\/g)\/((-2)\/(-32)) and y?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*c**2 + 4*c**3 - 63 - 3*c**3 + 11*c**2 as l*c**3 + s*c + t*c**2 + w and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z = 20256 + 21069. What is the highest common divisor of z and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((-18)\/(-48)*4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*f + 120 = -6*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14073, -14059, -14045?\n\"Answer: 14*i - 14087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.9 + 1. Let z(v) = -5*v**2 - 248*v - 142. Let q be z(-49). Which is the fourth smallest value? (a) 2\/7 (b) p (c) -4 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10701 divided by -123.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7271 - 12.22116865\nAnswer: -7283.22116865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 19 = -5. Let t = p + 7. Solve 11 = -5*k - t for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276 = -5*p - 6. Suppose 2*m - m - 18 = 0. What is the greatest common divisor of p and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiijoiiiioijiihoo. Give prob of picking 1 i and 1 o.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14*1 + (-9 - -9). Let c be 110 - (62\/g - 33\/77). Let j = c - 93. What is the remainder when j is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 4:26 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 5*z + 5, 3*c - 13 = 23*z - 22*z. Let i(r) = -2*r**3 + 3*r**2 - r + 3. Let f(n) = -12*n**3 + 17*n**2 - 6*n + 17. Give c*f(h) - 34*i(h).\nAnswer: -4*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1209221.79 to the nearest 1000.\nAnswer: 1209000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + -30 - (-14 - (-1 + 2)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.13017 and 10.22.\nAnswer: -11.5503374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 28*o + 36. Let m(y) = 113*y + 145. Let l(v) = -2*m(v) + 9*s(v). Does 17 divide l(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 396 divided by -682?\nAnswer: -18\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -10*s + 4. Let o(p) = -20*p + 9. Suppose -26 = -0*k - 2*k. Let n(v) = k*f(v) - 6*o(v). Is n(-2) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 169344 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ptzjzktj. Give prob of sequence tz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 30*v**2 + v + 32. Let f be n(-30). Suppose f*o = a + 23, -4*o + 0*a + 51 = 3*a. Calculate the greatest common divisor of o and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 284236, 568454, 852698, 1136980, 1421312, 1705706, 1990174, 2274728?\nAnswer: 2559380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345544?\nAnswer: 2, 47, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 13) to base 8.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 821488 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 3*x**2 + 2*x + 3. Let u be c(-3). Suppose -5*b + 4 = -1. Let s(i) = -2 + b + 6*i + 1. Determine s(u).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5728*q**3 - 3327*q**3 - 2923*q**3 - q**2 + q**2.\nAnswer: -522*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 2*x - 2*x)*(-122 + 85 - 160 + 4 + 3 - 4 + (6 - 2 - 2)*(1 + 1 + 0) - 2 + 2 - 2).\nAnswer: 192*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*k = 254, -2*l + 42 + 118 = 2*k. Suppose -l*i - 141 = -85*i. Calculate the remainder when i is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 727749 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 25*u + 4. Let q be j(-17). Let i = 159 - q. Solve 0 = -4*s - s - y + i, 3*s = -5*y + 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6258 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.187 - 836.971\nAnswer: -836.784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (52\/20 + -3)*55. Let x = q - -18. Let j = -2 - x. What is the third biggest value in 3\/2, 5, j?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fplukykkykkpl. Give prob of picking 1 f, 1 k, and 1 u.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38928478, 77856970, 116785462, 155713954?\nAnswer: 194642446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-14) - 148\/(-28). Let q be 1\/(5\/(-3) - -2). Let r = w - q. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h\/(h**(2\/5)\/h)*h))**(-19) assuming h is positive.\nAnswer: h**(57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 20 = 5*x, 3*x - 2*o + 1 = -14*x + 14*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11623601 + -1?\nAnswer: 11623600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 - 48. Solve r*b = -b - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107588?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33.6 - -34. Let p = -5.4 + g. Let d = 23 - 45\/2. What is the nearest to d in p, 0.4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1.092809 millennia?\nAnswer: 13113.708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 98 and 392.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -115 (base 8) to base 14\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 522 and 14582070?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5566900287 to the nearest integer?\nAnswer: 1772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34.8 + 50.7. Let r = -16.059 + b. What is r rounded to 2 dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + i = -0*i - 12, 0 = -2*n + 5*i + 6. Calculate the remainder when 27 is divided by 3\/n*140\/(-15).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 354c1 (base 15) to base 16.\nAnswer: 29767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184*j - 188*j - 20 = 0. Let s be 8\/3*6\/4. Let n = s - 2. Put -1, n, j in ascending order.\nAnswer: j, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 204, -69, -346, -627, -912, -1201?\n\"Answer: -2*q**2 - 267*q + 473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -29499 * 1\nAnswer: -29499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1751551704.\nAnswer: 2, 3, 7, 863, 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q**2 - 3*q + 1 - 18*q**2 + 344*q + 12*q**2.\nAnswer: q**2 + 341*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(-28)*8*1. Solve u + 0 = h*f + 7, -2*u + 4 = f for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (35 + 0 - (412 + -418)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 2*u - 8. Let h = 4 + -5. What is the nearest to -1 in u, h, -2\/19?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j + j**2 - j + (-4 - 1 + 6)*(-j**2 + 0*j**2 - j**2) + 0 + 0 + 6*j**2 + (-3 - 2*j + 3)*(1 + 2*j - 1) to a + o*j**2 + r*j and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/4 + (7 - 9).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*z = -4. Suppose -4*m = 16 + 16. Let b be m\/12 + 1\/2. Which is greater: b or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6*0 + (-13 - -12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 253\/23 - (0 - -1). Let z be 278\/5 + (-4)\/(-10). Let o = z - 16. What is the greatest common divisor of f and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52736?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13077284 rounded to three dps?\nAnswer: 0.131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2.004*2.2\nAnswer: 4.4088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*h + 60158 = 126*h + 815618. Calculate the greatest common factor of 24 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 138190\/27 - 551221\/108. Factor -3*b**2 + 3\/4*b**3 - q*b - 21\/2.\nAnswer: 3*(b - 7)*(b + 1)*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -q**4*w - 38*q**3*w - 2*q**2 - 376*w wrt q?\nAnswer: -4*q**3*w - 114*q**2*w - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/((-42)\/(-8)))\/((-48)\/216)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.6 + 9. Let y = 26314 + -26335. Which is the closest to -1? (a) y (b) i (c) 0.9 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 462 = -5*l + 7*l, 4*l = -3*m + 698. Is 39 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 210*o + 37. Let t(v) = -2*v**2. Give t(k(c)).\nAnswer: -88200*c**2 - 31080*c - 2738","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 528823393?\nAnswer: 7, 79, 956281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 15) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 165.5 - 303. Let c = -137.5000589 - v. What is c rounded to six dps?\nAnswer: -0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 34633 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1997517*0.14\nAnswer: -279652.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, 3, 5, 1, 12.\nAnswer: -85, 1, 3, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*z + 9, -5*z + 8*z - 3 = 0. Solve d + 11 = t*y, 5*d - 6*d = -4*y + 14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*o - 4. Is o even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2064395040?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -1665945.\nAnswer: -1\/1665945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -52b7 + -3?\nAnswer: -52ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11597570 to the power of 1\/2, to the nearest integer?\nAnswer: 3406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32784, -32826, -32928, -33120, -33432, -33894, -34536?\nAnswer: -35388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2581 a factor of 270728169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/18)\/(((-63)\/1092)\/(72\/32)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 2, 377 in ascending order.\nAnswer: 2, 35, 377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 11*t**2 - 11*t + 16. Let m be b(10). Suppose -4*o + 5*w = -25, -5*w - 19 = o + m. Factor -2\/9*s + o - 2\/9*s**2.\nAnswer: -2*s*(s + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqwqhwqngfqf. What is prob of sequence fq?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -236 + 158. What are the prime factors of (g\/5)\/((-2)\/10)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2613 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**5\/30 - t**4\/12 + 3*t**2\/2 + 3. Let a(z) be the second derivative of w(z). What is the second derivative of a(h) wrt h?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 - -47. Suppose j = 5*g - 3*j - 48, -3*g - 3*j = -18. Suppose 5*y + 26 = z, 3*y - 2*z + g + 9 = 0. What is the second biggest value in 1, y, 0.2, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14*(30\/(-135))\/(14\/(-36))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.224 and 1327.7.\nAnswer: -297.4048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 104*a - 3 - 100*a - 3*a**2 + 5*a**2. Let v = -468 - -464. Give c(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 (base 11) to base 3\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38740127*0.5.\nAnswer: 19370063.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 484 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 3*m - 8 = -l, -5*l = -4*m - 28 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2730310609\/36 - 75805187. Let d = 36771 - n. Calculate the common denominator of d and 93\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -281*a + 142*a - 4*u - 242 = -141*a, 244 = -5*u + u for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -149677, -299358, -449039, -598720?\nAnswer: -748401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 - 11306*y**2 - 22608*y.\nAnswer: -y*(y + 2)*(y + 11304)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-8 - -3) + -57 + 60.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199428?\nAnswer: 2, 3, 16619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - -20 - 7 - (-1 + 6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 558. Let r(p) = 11946*p. Determine r(m(t)).\nAnswer: -11946*t**2 + 6665868","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16 - -13?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 6*p = 12. Suppose 5*l + p*s = 56, -s - 5 - 23 = -4*l. Is (-65)\/(-3) + l\/(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -544 - -518. Let f(h) = -38*h + 35. List the prime factors of f(y).\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + q. Let l be h(1). Is 198\/3 + -1 - l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -82, 187, 2, -5, -11.\nAnswer: -82, -11, -5, -4, 0, 2, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**3\/5 - 46684*i**2\/5 - 1879360*i - 94168000 = 0.\nAnswer: -100, 23542","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 574*d + 9 - 1 - 573*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-6))\/((-1)\/56). Let s be -2*(-7)\/(h\/3). Which is smaller: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-one quarters of a microgram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 11:39 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three tenths of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 545 is divided by (-5746)\/(-130) - 12\/10?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98052, 197978, 297920, 397884, 497876, 597902?\nAnswer: 697968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-8))\/(45\/(-10) - -7)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2. Suppose 5*x - 18 = -3. Let b(s) be the third derivative of 0*s**4 + 0*s - 3*s**2 + 0*s**x + 1\/60*s**5 + 0. Give b(l(u)).\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 503 - 479. Solve 2*a - r = -16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v**2 + 12*v + 5. Let b(q) = -5*q**2 + 13*q + 5. Let l(g) = -5*b(g) + 6*m(g). Calculate l(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1563, 1553, 1529, 1485, 1415, 1313, 1173?\n\"Answer: -i**3 - i**2 + 1565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18349230?\nAnswer: 2, 3, 5, 611641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2 + (-261)\/24 + -2 and (-5 - -6)*118\/(-10)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 35*m**2 + 16*m - 8. Let c(j) = -12*j**2 - 6*j + 3. What is 8*c(r) + 3*z(r)?\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*3.495\nAnswer: -1.0485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44.591 - 48.9898. Round d to two decimal places.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*r**2 + r**2 - 8*r**4 + 0*r**4 - r**4 wrt r.\nAnswer: -216*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in nine tenths of a minute?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/10, 8, -4, 0, 63?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29881146 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2019.9 - 2014.9. What is the closest to 1.6 in 4, -2\/5, a, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w - 1. Let v(j) = j**2 + j + 8. Let g(q) = 3*f(q) + v(q). Suppose -4*y = 11 + 13. Let i be g(y). Calculate the greatest common factor of 34 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 times 27\nAnswer: -1.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -36 (base 15) to base 2\nAnswer: -110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -1389*i + 17544. Determine v(10).\nAnswer: 3654","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = q - 5*t, 25 = 3*q + 2*q - 4*t for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6\/19 + 1\/57. Let v = -9459 - -9459.4. Sort c, 1\/8, v, 2\/15.\nAnswer: 1\/8, 2\/15, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41434800 by -18920.\nAnswer: -2190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 594868*u**3 + u**2 + 407963*u - 2 wrt u?\nAnswer: 3569208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5\/7 + 197*c**4\/7 + 12667*c**3\/7 + 247699*c**2\/7 - 1149184*c\/7 + 1203052\/7.\nAnswer: (c - 2)**2*(c + 67)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + (-3*(sqrt(171) + (sqrt(171) - sqrt(171)*-2)) - sqrt(171)))\/((sqrt(36)*1)\/sqrt(4)))**2.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20060442?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 >= -2509\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -73, 2, -96 in increasing order.\nAnswer: -96, -73, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2 - 1, v + 3*d - 1 = 0. Find the second derivative of -30*f**4 - 2 - 35*f**4 + 2 - 13*f**v + 169*f wrt f.\nAnswer: -936*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5.1 and -518.\nAnswer: -512.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-206)*((-5)\/(-4) + (-177)\/(-236))?\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 975\/(-1560)*((-7)\/(35\/20) + 20).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37 and 21?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1907*b**5 + 482*b + 1?\nAnswer: 38140*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 7 + 0)*(3*m + 2*m - 3*m) + (3*m - 8*m + 4*m)*(1 - 2 + 0) + m + 0*m + 0*m + (-6*m + 3*m + m)*(0 + 1 + 0)*(-2 + 1 - 2).\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7381*3.\nAnswer: 22143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.34, -4, 4\/3, 44, -3081 in ascending order.\nAnswer: -3081, -4, -0.34, 4\/3, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34375491?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-1 + -2 + -2 + 11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/9))**44*(j\/(j**0\/j)*j)\/j**13 assuming j is positive.\nAnswer: j**(-178\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 - 7 = 2*o for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/7 greater than or equal to -7250.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 1. Let w(m) = 2*m - 1. Suppose 9 = 2*c - 5*x, 4 = 4*c + 4*x - 0*x. Let t(z) = c*w(z) + 3*p(z). What is the units digit of t(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 62. Suppose -4*a = w - 1, -q = -4*w - 2*a + 17. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1162*o - 43349 - 32402 + 11163 = 198*o for o.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 111143829 to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/98 and 73\/8?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -219, -1, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15434 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 5*t + 165832, -6*s - 165902 = -9*s - 5*t. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o*o**9\/o))**(35\/6)\/(o**(7\/6))**(-4\/23) assuming o is positive.\nAnswer: o**(-1869\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1705349 divided by 7\nAnswer: 1705349\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r**3 + 0*r**3 + 0*r**3 - 6*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 4*v - 8. Let h be b(7). Let i = h + -273\/4. What is the closest to 0 in -1.1, 2\/11, i?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12067 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15\/2077 - 6\/67. Let a = s - -161\/62. Factor 2*d + a*d**3 + 4*d**2 + 1\/2*d**4 + 0.\nAnswer: d*(d + 1)*(d + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1303 and -1.4926?\nAnswer: -1944.8578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/6)\/((280\/(-17211540))\/(-7)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/10)\/(135\/50).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 8:08 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/24 - 511\/(-219))\/(-6))\/(27\/(-132)).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-5) - 42\/10. Let v = r + 7. Find the first derivative of -b**3 + 2*b**v + 0*b**3 - 2 wrt b.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5 + -3*sqrt(117))**2 - (-1*sqrt(117)*-2 + 2).\nAnswer: 84*sqrt(13) + 1073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1608 by 804.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 3:42 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -514310 not equal to -514304?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o**3 - 2*o**2 - o. Let t(r) = -r**2 - 7*r + 97. Let n be t(7). Let l be q(n). Solve -19 + 9 = l*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5379 - 13791. Which is smaller: w or -8411?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-8))**(-31)*t**(-10)\/(t**(2\/35)\/t) assuming t is positive.\nAnswer: t**(8363\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45*c**3*s**4 + 48*c**3*s + 2471*c**3 + 17*c*s**2 + 37*s**3 wrt s.\nAnswer: -540*c**3*s**2 + 34*c + 222*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b*n**2*t + 87*b*n*t**3 - 160*b*n*t + b*t**2 - 4*b*t + 108*n**2*t**3 - n**2 wrt t.\nAnswer: 522*b*n + 648*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-60)\/(-24)*(-210)\/(-9). Which is smaller: 58 or a?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19108 divided by -4777.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70483 + -70500. Suppose 4*k - 24 + 4 = 0, -55 = 5*b + 5*k. Which is bigger: p or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -16514 and -148622\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 46*o**3 + 52*o**2 + 162*o + 13. Let d(t) = 23*t**3 + 24*t**2 + 81*t + 6. Calculate -13*d(y) + 6*u(y).\nAnswer: -23*y**3 - 81*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2561, 1021, -519?\n\"Answer: -1540*t + 4101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2086989891.\nAnswer: 3, 7, 853, 116507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -129 - -132. Let w be 1 - (3\/1 + (-8)\/4). Suppose w*d - 42 = -c*d. Solve -11 = 5*j + d for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 386661\/31 >= 12473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**2 + s + 1. Let r = -17 + 16. Let w be z(r). Suppose 3*g = -5*l - 9, 4*g - 5*g = 4*l + w. Is -4 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**3 + 18*p**3 + 10*p**3)*(4*p + 5*p + 6*p).\nAnswer: 360*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**2 - s**2 + s**2 + (2 - 2 + 2)*(s**2 - s**2 - s**2) - 64*s + 105*s - 2*s**2 + 109*s to the form r*s + b + h*s**2 and give r.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 421987757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -17*c**7\/210 - 3223*c**4\/24 - 3*c**2 - 4*c + 169. Find the second derivative of b(k) wrt k.\nAnswer: -204*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 102*j*r**6 - 1139286*j*r**4 + 422320*j*r + 959*r**2 wrt r.\nAnswer: 12240*j*r**3 - 27342864*j*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 752.5 or 1047?\nAnswer: 1047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 147*v + 18124 = -142*v, -5*a - 3*v + 90708 = 0. Is 81 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**3 + 3*s**2 - 3*s - 3. Let h be o(3). Let i = h - 67. Suppose i*z = -3*z. Solve -f + 2*k = -12, 5*f - 3*k - 26 - 6 = z for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/11))**(-43) assuming u is positive.\nAnswer: u**(86\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 16) to base 12\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1239.5 and -345?\nAnswer: -427627.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-336)\/224*(-20)\/(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 489610?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 6*a**3 + 212*a**2 + 324*a + 8. Determine k(-34).\nAnswer: -1760","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-1) - (9 - 3). Suppose -8*l + 40 = -4*l. Let y = l - t. Calculate the greatest common divisor of y and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -78*z**2 - 1481*z - 1468. Let i(u) = 109*u**2 + 2222*u + 2204. Let b(j) = 7*h(j) + 5*i(j). Let b(x) = 0. Calculate x.\nAnswer: -1, 744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 314 + 310 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 3) to base 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1372 (base 9) to base 12\nAnswer: -725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 21*y**2 + 37*y - 27. Give f(-19).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -6*i + 1745 - 1745. Let j(b) = -5*b. Determine g(j(p)).\nAnswer: 30*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8272\/7*f + 4\/7*f**2 + 4276624\/7 = 0.\nAnswer: -1034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -44642 plus -0.5?\nAnswer: -44642.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7369 - 5324. Calculate the remainder when s is divided by 89.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*j - 69*j - 40 = 0. Suppose 3*l - 193 = -25. What is the highest common factor of l and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1667*s - 1612*s - 55 = 0. Let k(p) be the second derivative of -2*p**4\/3 - p. Determine k(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l + 4*l**2 - 2 - 5*l**2 - l**2. Let u be 888\/(-148) + 16\/2. Determine s(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -24, 1, -1\/6?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113 + 4*x**2 + 113.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*p + 4 = -2*o, 0 = -5*p - 2*o - 4. Let h be 0\/(2 + (-5 - -1)). Determine c so that p*c**2 - 1\/2*c**4 + 0 + 0*c**3 + h*c - 1\/4*c**5 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339709545 is divided by 103?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -295, -315, -363, -451, -591, -795, -1075?\n\"Answer: -2*b**3 - 2*b**2 - 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 9:33 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 20961517 divided by 6\nAnswer: 20961517\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 243000467?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(6*sqrt(30)\/sqrt(6)) - ((-4 + sqrt(99) + sqrt(99))*6)**2.\nAnswer: -14832 + 10369*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -4, -25*a + 292 = 3*x - 20*a. Calculate the remainder when 294 is divided by x.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 divided by 146?\nAnswer: 371\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1072991.601 - -1073481. Let o = 492.9 - j. Round o to 1 decimal place.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 942264290.\nAnswer: 2, 5, 11, 73, 271, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 84\/9 + (-1)\/3. Let x(z) = z - 6. Let u be x(a). Solve 0*b**4 - 2*b**3 - 4*b**4 - b**3 + 2*b**5 + 5*b**u = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -156 - -174. Suppose -3*m + 0*m + l = -3*o, 4*m = 20. Suppose -5*q = 4*u - 16, 4*u = u + 5*q + 12. Sort -3, o, 3, u in decreasing order.\nAnswer: u, 3, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and 0.00977976.\nAnswer: 0.00977976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (44*x - 34*x + 2 - 2)*(-46*x - 42 + 25 + 21) to d*x**2 + k*x + z and give k.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99475 is divided by 3132?\nAnswer: 2383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5339*o**3 - 110*o - 17?\nAnswer: 32034*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/3))**(20\/7)\/(b*b\/b**(-2)*b)**(-36)*b**6\/(b*(b*b\/((b\/(b\/b**(-7)*b))\/b))\/b)*(b\/b**(1\/2))\/(((b\/(b*b**7\/b))\/b)\/b) assuming b is positive.\nAnswer: b**(7667\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 3. Let n = 0.1 - -3.9. Let g = -4 + n. What is the biggest value in g, m, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 5\/2*x**2 - 1\/3*x**3 - 6 + 0*x. Find the second derivative of i(a) wrt a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a + 2*a - a**4 + (5 + a - 5)*(-4 + 4 + a**3) - a**4 + 0*a**4 + 3*a**4 + 582*a**3 - 243*a**4 - 582*a**3.\nAnswer: -241*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/165 and 34\/5115.\nAnswer: 5115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 247 and 26334?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4*(-2*sqrt(192) + 2 + 4 + ((sqrt(192) + 1 - sqrt(192))*5)**2 + (((0 + sqrt(192))*4)**2 - sqrt(192))).\nAnswer: -12414 + 96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -558 + 8919\/16. Calculate the common denominator of r and -5\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2859? (a) 1.28 (b) -5 (c) 0.4 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 - 25. Let n(l) = -2*l - 2. Let b be n(5). Let j = h + b. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 1 - 25, 4*f - 890 = j. Solve 222*i - f*i = 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 0)*(-11)\/(-22). Suppose -3*y + 29 + 42 = d, r = 4*d + y - 229. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -8*o + 19. Suppose 4*r = -o*g - 0*g - 85499980, -51300025 = 3*g - 5*r. Round g to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**5 + 3 - 3 + (x**2 + 0*x + 0*x)*(-2*x**3 + 3 - 3) - 12*x**2 - 2*x + 4*x**5 + 12*x**2.\nAnswer: -2*x**5 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2315*m**3*v**2 - m**3*v + 2466*m**3 - 6*m**2*v**2 + 4860*m*v**2 - 59*m + v wrt m.\nAnswer: -13890*v**2 - 6*v + 14796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308*m + 6767 = 2548 - 17341. Sort m, -11, 0, -0.5.\nAnswer: m, -11, -0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/21 (b) 0 (c) -6 (d) -0.4 (e) -0.02 (f) 578\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 520622 a multiple of 163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 149, 153, 169, 203, 261, 349, 473, 639?\nAnswer: 853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18.5, -7.3, 2\/3, -0.0459 in ascending order.\nAnswer: -18.5, -7.3, -0.0459, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 409 minutes after 7:14 PM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48270513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1197 by -19.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7887*t + 55272 = -6711*t for t.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0*-208.5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 35 = -10. Suppose -111 + 33 = 3*o. Let s = o - b. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*n - 1 = 1, -5*n = 4*v + 5. Suppose v = -4*i + 5 + 7. Suppose 4*w = i*d, -w - 3*w = 5*d - 32. Solve w - 28 = -5*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 4:11 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*c**2 + 0*c**2 - 5*c**2 + (46*c - 137*c - 445*c)*(-3*c + 3*c - 2*c) in the form b*c**2 + s + f*c and give b.\nAnswer: 1071","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 7 = -t - 5*o, -4*t - 4*o = 16 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -90*i. Let x(r) = 476*r - 1190. Let l(a) = 34*a - 84. Let y(g) = 85*l(g) - 6*x(g). Calculate y(m(n)).\nAnswer: -3060*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(135) - sqrt(135))\/sqrt(5))\/(sqrt(9) + sqrt(1296) + 1*sqrt(1296)))**2.\nAnswer: 12\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 4 + 2)*(-7*j**3 + 4*j**3 + 8*j**3).\nAnswer: -50*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -7. Suppose -g*b = -7*b + 28. Do 14 and b have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 6) to base 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -42, -55, -68, -81, -94?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/13286 and -47\/22711?\nAnswer: 23210642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (172 - -16) + -110 - 35.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242303?\nAnswer: 337, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/369631 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*f + 180 = 0, -4*g - 8 = -435*f + 432*f for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-15)*6\/48*20?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -y + 236, 4*d = 5*y - 0*d - 1216. Calculate the highest common factor of y and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 13 + 2*s + s)*(0 + 0 + 1).\nAnswer: s + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -564*v - 20046 = 3642 for v.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 208*c**2 - 451*c**2 + 24*c + 200*c**2 as a + x*c**2 + l*c and give x.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4043206 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 123*-5\nAnswer: -615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 215610, 216261, 216904, 217533, 218142, 218725?\nAnswer: 219276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -159 - -159. Let k(t) = t**3 - 5*t**2 - 7*t + 8. Let q be k(6). Solve w = -q*x + 3 + 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.195 * 14195.9.\nAnswer: 87943.6005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 699 + 1228*s + 3323*s - 699 in the form a + i*s and give i.\nAnswer: 4551","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1399391 is divided by 657.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 5*u - 4*p, 0 = u + 2*p - 21 - 6. Calculate the lowest common multiple of ((-21)\/(-4))\/(1\/4) and u.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(3*o + 6*o - 6*o)*(-2 + 2 - o)*(2 + 2*o - 2)*(-2*o + 4 - 4).\nAnswer: -24*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 9 + 1 + -27.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -6*(sqrt(34)\/sqrt(2) + sqrt(17)).\nAnswer: -12*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 16875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2421690502?\nAnswer: 2, 7, 11, 41, 83, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 3 (b) 1 (c) 81\/2 (d) -2\/9 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 185583287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -30 + 92 + 12*l - 30 - 35 + 0*l. Let u(w) = -11*w + 2. Give -2*m(v) - 3*u(v).\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539) + (sqrt(1539) - (sqrt(1539) + 2)) + -1)**2 + sqrt(1539) - (sqrt(1539) + 1)**2*-3)*-4.\nAnswer: -24672 - 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by -2645373\nAnswer: -20\/2645373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 9:58 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19.8 - 0.3. Let x = -19 + i. Sort 2, x, 1 in decreasing order.\nAnswer: 2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5345*m**4 + 1473*m**3 + 7714406*m**2 + 2*m - 1 wrt m?\nAnswer: 128280*m + 8838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1617, 2946, 4257, 5538, 6777, 7962, 9081?\nAnswer: 10122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 0.8. Let g = b - -0.8. Let y = g + 2. Put -0.3, y, 3\/4 in descending order.\nAnswer: y, 3\/4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 4, 151 in decreasing order.\nAnswer: 151, 11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 985*v + 35991. What is d(-38)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-84)\/(-21) - 2*1\/2. Let a(i) = 2*i - 1. Let u(w) = -2*w + 2. What is x*u(f) + 4*a(f)?\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 2583 divide 375754176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -385518, -1541553, -3468104, -6165171, -9632754, -13870853, -18879468?\nAnswer: -24658599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3\/11)*z)\/(z\/(z**(-10)*z)*z))**(-3\/31)*((z*z\/z**(-2))\/(z\/(z*z\/z**1*z)))\/(z**(-3)*z**4) assuming z is positive.\nAnswer: z**(1703\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 2:48 AM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 3, t: 5}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 8:16 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 31799517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 101769, 101790, 101811, 101832?\n\"Answer: 21*q + 101748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/8 of a micrometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-1)\/(-3))\/(5\/5865)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 12*v + 168 = 0, 5*v + 25 + 101 = -2*d + 57 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46612*2.4.\nAnswer: -111868.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 50*s**2 - 14*s + 14. Let i(m) = 17*m**2 - 5*m + 5. What is 14*i(t) - 5*j(t)?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - c - 236 = 0, -195 = -3*r - 3*c - 39. Suppose -b + 4*o - 31 = 0, 2*b - b + 5*o = 5. Let u = b + r. List the prime factors of u.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -k**5\/10 + 7*k**4\/3 - 64*k**3\/3 + 96*k**2 - 2*k + 35. Find v such that i(v) = 0.\nAnswer: 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5782, 42133, 140770, 332827, 649438, 1121737, 1780858?\n\"Answer: 5189*x**3 + 9*x**2 + x + 583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*j = -10. Let o be (-3)\/(((-72)\/(-15))\/(-8)). Sort -2, j, o in descending order.\nAnswer: o, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 8*d + 8. Let a be c(-8). Let j = 25\/3 - a. Let v = 219 - 664\/3. Does v = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**3 - 90*a**2 + 360*a = 0. What is a?\nAnswer: 0, 6, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2476480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - 2*h + 2. Let w be 3\/(-2)*(1 + h). Is -3 at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 14 = -4*c - 7*y, -10 = 5*y. What is the greatest common divisor of c and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 40 = -2*f, -5*f + 0*j + 97 = -4*j. Suppose 2*l - y - 94 = -2*l, y = -l + f. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 289 + -287. Suppose -3\/4*m**5 - 81\/4 - 69\/2*m**3 - 243\/4*m - 33\/4*m**4 - 135\/2*m**p = 0. What is m?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*a - 57 = 23 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*b**3 - 4*b**3 + 9*b**3.\nAnswer: -15*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*l, 0 = 2*r - l + 9 - 34. Suppose -o - 32 = -5*x, 0*x + 3*o - 18 = -4*x. What is the remainder when r is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhatttfggfjaff. Give prob of sequence fhf.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1600, -3141, -4624, -6049, -7416?\n\"Answer: 29*w**2 - 1628*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-24)*720\/18?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3802 and 141077012.\nAnswer: 3802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.4 (c) 2547493\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -20*x**5\/3 + 80*x**4\/9 + 38*x**3\/9 + 2*x**2\/3 + 39*x. Suppose u(n) = 0. What is n?\nAnswer: -1\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-6)\/18*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssquqtsstsutsss. What is prob of picking 2 q and 2 s?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1680*g + 1669*g + 20*g**3 - 3*g**3.\nAnswer: 17*g**3 - 11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*a - 33815 = 81*a. What is the thousands digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 60 = -4*i, -2146*i + 19*j = -2141*i + 261 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-4))\/(-2)*(-5066)\/(-149).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4979 + -2315. Suppose -7*m = m - k. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.004? (a) 150\/13 (b) 2\/7 (c) -3\/2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 129.428515 rounded to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 7*i. Let q be g(-7). Let m = 0 + q. Let p(h) = -h**3 + 7. What is the units digit of p(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 429\/(-2)*(-2)\/3. What is the greatest common divisor of s and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2*sqrt(245)*1)**2 - (-5 + sqrt(245)*-2)).\nAnswer: 84*sqrt(5) + 5910","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 1)*4\/(0 + -4). Which is greater: y or 1\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 1702 - 5738 = 0. Calculate the remainder when z is divided by 364.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 387\/63)*(-1 + 0).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 2. Let x be (-1 - o)\/(2 + -1). Which is the closest to x? (a) 0 (b) -0.1 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1602)\/53)\/(-6) - 4 - (4 + -3)\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10833, -21717, -32619, -43539?\n\"Answer: -9*b**2 - 10857*b + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2358 = -153*u - 48*u - 750 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 3*v**2 - v + 7. Let q be o(3). Suppose 2*l + 26 = q*l. Suppose -33 = -y - l. Solve m - y = -3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*b**3 - b + 18 - 30 - 10 - 52 + 40*b**3 - 3*b**2 to the form d*b**3 + y*b + h + w*b**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s + 139. Let o be k(-3). Solve o*y = 135*y + 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y - 2. Let c be s(-4). Suppose -3*k + c*v = -0*v, -4*k = -3*v + 1. Find the third derivative of 4*f**5 + f**5 - 5*f**k + 0*f**5 wrt f.\nAnswer: 300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 8:27 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1965026\/13 at least 151157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) - (sqrt(1539) + 1)**2)*2 + 2.\nAnswer: -3078 - 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -20 - -11a09?\nAnswer: 11999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.510407 < 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = s - 18. Factor 800 - 3*t**2 + 80*t + s*t**2 - 2*t**2.\nAnswer: 2*(t + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 733134.\nAnswer: -1\/244378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -61713.387 to the nearest 100.\nAnswer: -61700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 12*w**2 + 3*w - 15. Let a be 3*1\/(-3)*-14. Is f(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/10*2)\/(6\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/((9 - 15) + 11). Solve k*g - 9 = 2*n, 4*n - 2*g + 0*g = -6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 11 = -38379*j + 38377*j, -37 + 6 = 3*j - n for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -333523 not equal to 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -439573156*b**2 - 83864*b - 4 = 0. What is b?\nAnswer: -1\/10483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 12.7. Let m = d + -6. Let h = -70 - -66. What is the closest to 0.1 in h, -5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -219.\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/((-20)\/(-15)))\/(6\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 + -32. Let f be 1*m + 1948*-14. Let d = -19725 + f. What is d rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 523388 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14896878 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 68*x - 213 - 127. What is the least common multiple of x and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/4)\/(r*r**(-1\/2)))\/r**(-1\/16)*r**(3\/5)*r**(1\/5)*r*r\/r**(-1) assuming r is positive.\nAnswer: r**(289\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(1\/6)*u))\/((u**0*u*u*u)\/u))\/(u*u\/u**(1\/2))**48 assuming u is positive.\nAnswer: u**(-451\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/13 in 1\/5, -97, -3\/8, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 9339.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.99925097 rounded to two dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 648*g + 168 + 676 + 1557*g + 986*g + 31*g wrt g.\nAnswer: 3222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 1\/20*o**5 - 13 - 1\/2*o**3 - 3*o**2 + 10*o + 1\/2*o**4. Let j(a) be the first derivative of d(a). Determine j(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233254 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 27 = -0*b. Let s(v) = 2 - 3*v**2 + 2*v**3 - 27*v + b*v. Suppose -8 = -5*n + n. Calculate s(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*w - 27*w + 16*w - 56)*(-1 + 2*w**2 + 1).\nAnswer: 2*w**3 - 112*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(3\/4)\/b**19*b**1\/(b*b*b*b**(16\/5)*b*b) assuming b is positive.\nAnswer: b**(-509\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/38728 and 173\/2820.\nAnswer: 580920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.25561mg to grams.\nAnswer: 0.02125561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 314 - -476. Let v = 706 - c. Which is smaller: v or -85?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 4:22 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/5)\/((-6)\/(-15)). Let b(v) be the first derivative of 1\/2*v**a + 0*v - 1. Let j(d) = d**2. Calculate j(b(t)).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5481\/(-12528)*4\/21?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5*a + 4. Let i(c) = -6*c + 5. Let v(s) = 4*i(s) - 5*x(s). Suppose 0 = 4*h + 2 - 14. Let m(q) = 6*q + h*q + 8*q - 12*q. Determine m(v(r)).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, n: 1, z: 6, v: 2, x: 3}. What is prob of picking 1 n and 2 x?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6790*b + 94569 - 434821 - 155418 = 0 for b.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**4\/6 - u**3 - 4*u**2 + u. Let f(b) = -4*b**2 - 11*b - 15. Let h = 274 - 263. Calculate h*t(j) - 6*f(j).\nAnswer: 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4261391 is divided by 6506?\nAnswer: 6467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 140 + 153. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -9*h**2\/2 + 4*h - 142. Give f(5).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 - 3869905*w**2 + 7739806*w.\nAnswer: w*(w - 3869903)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 62.\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -8*y**3 - 8*y**2 - 4*y - 4. Let f(l) = l**2 + l. Let b(m) = -12*f(m) - s(m). Factor b(v).\nAnswer: 4*(v - 1)*(v + 1)*(2*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 48 - 852 = 0. Let p = -10 - h. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15684, -15544, -15404?\n\"Answer: 140*i - 15824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4*f - 2. Let m be h(-2). Let u(k) = -3*k - k + m*k. Let b(s) = -s**2. Determine u(b(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -117364\/29 or -4047?\nAnswer: -4047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -992996 and -0.498748132.\nAnswer: -992996.498748132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 7 + -13 + (49 + -11 - 18) + 11.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -254*u + 259*u, 2*f + 5*u = 181907. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**5\/6 + 93*p**4\/2 + 1411*p**3\/3 - 5628*p**2 = 0. What is p?\nAnswer: -268, -18, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -t**5 - 117*t**4 + 610*t**3 = 0.\nAnswer: -122, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -s - 8, 0*w + s - 4 = -4*w. Let r = 25 + w. Let g = -10 + r. Calculate the greatest common divisor of g and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4691 is divided by 670?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1709826 to the nearest integer?\nAnswer: 1308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8529, -17295, -26303, -35553?\nAnswer: -45045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3239 is divided by 141.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 93118, -0.3, 0.2, -54, 3\/8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12\/85 in 0.5, 6, 3, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 11) to base 8.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*c - 2, -19 = -2*g - 5*c. Let s = 2 - g. Let n be (-20)\/s - (-4)\/(-2). Solve -l + n = -3, 4*l - 26 = 3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 2. Let j = -49 - -46. Suppose -t - 8 = f, -8 = -t + 4*f - 1. Sort m, j, t in descending order.\nAnswer: m, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 332\/16 + (-6)\/8. Let b be -1 - 10\/(-1 - 0). Let d = -6 + b. Solve 2*s = -d*s - 5*p + f, 2*s + p = 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (-24 + 0)) + -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, q: 1, e: 1, o: 4}. What is prob of picking 1 e and 1 o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z**3 + 4*z**2 + 11*z - 1. What are the prime factors of m(4)?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**2\/4 - 829300*f + 687738490000 = 0.\nAnswer: 1658600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65 - 63. Suppose 0 = 2*m + 4*j - 5320012, b*m + 3*j + 1470854 - 6790863 = 0. What is m rounded to the nearest 100000?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 5*t**2 + t - 2. Let d be a(1). Let j be d*9\/(-24)*-2. Suppose 3*v - 2*y - 12 = 28, 0 = 4*v + j*y - 59. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96096 and 10164.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 67, -4, 2 in decreasing order.\nAnswer: 67, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 1 = 0, 2*w - 17*g - 49 = -16*g. Solve -5*d - 5*r - w = 0, 0 = 126*d - 121*d - 2*r - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 290 - 1161\/4. Sort 1, 0.1, c in ascending order.\nAnswer: c, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -2 - 4. Suppose -u*z - z + 222 = 2*r, -12 = -4*z. Let i = -61 + r. What is the greatest common factor of i and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and -1.09.\nAnswer: -7.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1832272*j**2 + 7*j + 210522134 wrt j.\nAnswer: -3664544*j + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 12*i**2 - i - 9. Let v be m(-12). Let r be ((-12)\/(5 - v))\/(-2). Solve r*g + 2*y + 2 = 0, 2*y - 13 = 4*g - 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -10*h**3 - 2*h**2 - 51*h - 157. Is 31 a factor of w(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + 0 - (-4 - (-40 - -30))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2377 is divided by 1982?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 2)*(k**2 - 3*k**2 + 7*k**2)*(-3 + 4 + 3) + 1 + 2*k**2 - 1.\nAnswer: -38*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, u: 1, l: 6, z: 3}. Give prob of picking 1 w and 2 l.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4023.07976 - 4023. Round c to three decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 10*c**2 - 15*c - 24. Let g be n(-11). Suppose -18*t + 13*t - g = 0. Does 12 divide ((-18)\/4)\/(2\/4)*t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 654436249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 63623?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zznlzzlnnzlznnn. Give prob of picking 1 z, 1 l, and 2 n.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72.2 - 72. Which is the closest to 19? (a) t (b) 0.5 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 + 4*y**3 + 5*y**3.\nAnswer: 9*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**4\/12 - u**3 + 16*u - 3. Suppose 13 - 41 = 4*n. Calculate d(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 12) to base 3.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 161 - 139. Let i = -326 - -327. What is the least common multiple of v and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + 4, b - 31 + 82 = 2*q for b.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22376811 divided by 1?\nAnswer: 22376811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w + 15. Let o be k(-6). Is -24 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 1 - 16. Let m = x - -51. Suppose -t = 2*g - m - 1, 12 = -4*t. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 12) in base 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - ((17 - 12) + -9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20546231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/181976 and 67\/6?\nAnswer: 545928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2694*m - 2*c - 10 = -2699*m - 36, 3*c - 12 = -6*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r = -5*r + 306. Calculate the remainder when r is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**5 + 169*n**4 + 5634*n**3 - 310696*n**2 - 316160*n = 0 for n.\nAnswer: -52, -1, 0, 32, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*((-468)\/(-65))\/(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 8:06 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -614866 divided by 43919\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -2 - 16 - -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rg when two letters picked without replacement from frghhrz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of n**6\/720 + n**5\/20 - n**4\/12 - n**3 + 4*n + 1. Let h(p) be the third derivative of c(p). What is h(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23307, -93286, -209935, -373254, -583243?\nAnswer: -839902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 3:19 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1842221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 25, 53, 81, 109?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four sevenths of a week?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7461 divide 1851215056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -20, 3, -420?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5346 is divided by 199?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 798451.\nAnswer: 798451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 63 + 1?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5308 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2. Suppose -50 = 4*t + 10. Let n be 6\/t - 24\/(-10). Let r(s) = s + n*s - s. Determine u(r(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**3 + 7*p + 2660. Let s(m) = -m**3 + 4*m + 1328. What is -4*r(b) + 7*s(b)?\nAnswer: b**3 - 1344","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 4) in base 15?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2346*a**3 + 4770*a**3 + 11*a - 2434*a**3.\nAnswer: -10*a**3 + 11*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 4)**2 + sqrt(13) + -3 + 0.\nAnswer: 25*sqrt(13) + 130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -6*n - 889 - 22, 5*p + n = 939. Suppose 4*w + p = 5*r + 1479, 3*r + 323 = w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 57 = 4. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 + 3150\/(-580) - 14\/203. Let r(z) be the second derivative of 0 + j*z**3 + 6*z**2 - 17*z. Differentiate r(w) with respect to w.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**0*a))**(-1\/14))**(-3\/31) assuming a is positive.\nAnswer: a**(-3\/434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23\/38 + -2\/19. What is the second biggest value in -4\/7, -5\/2, k, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v, 3*h - 3*v + 12 = 5*h. Let g be (-34)\/(-8) + (h - 10). Which is the closest to -0.3? (a) g (b) 1\/2 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 842171*o*x**6 + 81*o*x**5 + 110*o*x**2 + 6*o*x - 19964*o wrt x?\nAnswer: 101060520*o*x**3 + 4860*o*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -32*h**3 - 38*h**2 - 35*h + 1. Give n(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3013197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 8*j + 94 = 0. Let b = 35 + j. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 - 53790*j + 53785.\nAnswer: 5*(j - 10757)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40670574 and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 b when two letters picked without replacement from {r: 5, d: 3, p: 5, b: 2, e: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w**2 - 75*w - 28. Calculate r(19).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + n - 1401 - 579, -5*v + n = -3300. Is v a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -30*u + 178. Suppose 183*w - 1043 = 548 - 493. Determine m(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32147 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 430*y - 6458. Calculate x(-16).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 3*x**2 + 7*x - 2. Let w be v(3). Solve -5*i = 2*k - w, 1 = 5*k - i - 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3433, -11387, -23863, -40861, -62381, -88423?\nAnswer: -118987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10a0 (base 12) to base 2\nAnswer: -11100111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9131)\/1587 - -7) + (-7)\/3 + 1. Put -5, -0.3, 3\/2, 0.09, g in increasing order.\nAnswer: -5, -0.3, g, 0.09, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (0 - 6\/(-10))*(3 - -202)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 23*b - 29*b. Let z be -12*(-20)\/150 + b\/(-10). What is the third biggest value in z, 0.101, 2\/9?\nAnswer: 0.101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 2:59 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(2\/(-20)*2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 110 = -114. Put i, 5, -13 in decreasing order.\nAnswer: 5, i, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -3. Suppose s = 3*n - 0 - 6. Solve 4*w - 2 = n*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30015\/52 or -576?\nAnswer: -30015\/52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-2 + sqrt(144)\/sqrt(3))*2)**2.\nAnswer: -64*sqrt(3) + 206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 666520 a multiple of 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 4:34 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 60?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from lbbblblbbbbbbbbb.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 4*l**3 - 2*l + l**3 + 2*l**3 - 12*l**3 to a + s*l**2 + t*l + n*l**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t**2 + 3*t + 6. Let x be r(-3). Let g be x\/(3 - 2) + 3. Let u be g\/(-8) - (-1)\/(-2). Solve 4 = 2*q, u*q + 13 - 1 = -4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430688107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413 is divided by 236?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 83 + -84. What is the smallest value in -4, m, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 239590712 to the nearest integer?\nAnswer: 15479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 9\/5, 161.\nAnswer: 0, 9\/5, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 1643 = 2*f, -c + 1070 + 575 = 2*f. Let l = 829 - f. Factor 9\/4 + 1\/4*g**4 - 2*g**3 - l*g + 11\/2*g**2.\nAnswer: (g - 3)**2*(g - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2851042, 2851025, 2851008, 2850991?\n\"Answer: -17*s + 2851059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.3 (b) -2\/7 (c) 3 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 17, 4 in decreasing order.\nAnswer: 17, 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (8 - 2) - (-26 - -39).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -2*d**6\/5 - 7*d**3\/6 + 12*d. Find the second derivative of y(b) wrt b.\nAnswer: -144*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378537225 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 3*d**2 + d - 1. Let z(o) = 49*o**3 - 86*o**2 - 21*o + 21. Determine -42*j(h) - 2*z(h).\nAnswer: -140*h**3 + 46*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 times -0.1?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 57\/3169609 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -291*z + 41. Let a(n) = -1478*n + 205. Give -6*a(h) + 31*i(h).\nAnswer: -153*h + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -19\/8*r**4 + 3*r**3 - 6 - 7\/20*r**5 + 3*r**2 + 0*r. Let f(l) be the second derivative of o(l). Factor f(m).\nAnswer: -3*(m + 3)*(7*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t**2 + 66*t - 359. Let k be c(-27). Solve -k*h + 52 = -224 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - y - 2. Let b be r(-3). What is the least common multiple of 10 and ((-16)\/12)\/(b\/(-15))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -15, 0, 4, -4 in decreasing order.\nAnswer: 4, 0, -4, -8, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 127 + -149 - (1 - 54).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 139d7?\nAnswer: -139d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48149*x**3 + 24128*x**3 + 24101*x**3.\nAnswer: 80*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4)*(w\/(w\/(w\/(w**(1\/9)\/w))))\/w)\/((w*w**(-2\/17))\/w**(2\/11)) assuming w is positive.\nAnswer: w**(-6415\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - p + 532 + 272 = 0, -2*z = -5*p - 1601. What is the highest common divisor of 365 and z?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 12*n**2 + 4*n - 10. Let r be s(12). Let m = r - 30. Solve 0 = -f - 3 + m for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 9 = w, -3*i - 448 + 438 = 2*w for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8507737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4*n + 23632 = 0, l + 80*n - 5920 = 83*n. Is l smaller than 5910?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12e - 29a24?\nAnswer: -298e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16, 33, 50, 67?\n\"Answer: 17*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5*p - 1. Let c(i) = 8*i + 83. Give c(n) + o(n).\nAnswer: 3*n + 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.590024553 to four dps.\nAnswer: 2.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-8)*h)\/h**(-4\/7))**23 assuming h is positive.\nAnswer: h**(-874\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 2328.6221.\nAnswer: 2328.6221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*h**5 + 7*h**2 - 7*h**2 - h**3)*(-1 - 8 - 1).\nAnswer: 70*h**5 + 10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p + p - 8*p**3 - 2*p.\nAnswer: -8*p**3 - 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*f + 2279, -3*g - f - 191 - 1168 = 0. Suppose -67*s - 310*s = 121017. Let l = s - g. What are the prime factors of l?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 135.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 456520667297 and -7.\nAnswer: 456520667290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 551 is divided by 61?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-953)\/(-3812))\/((-2)\/(-272)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -28. Solve -d + y = -5*i, 3*d - 3*i - 2*i = 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 19782091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 937377239 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 s be 22 - 7\/((-42)\/24). Let y be (-2)\/s*2 - 8520142\/377. Round y to the nearest one thousand.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 6*n**2 - 5*n + 4. Let r be -5*(10\/(-65) - 45\/(-39)). Let m be t(r). Suppose m*q - 3*q = 71. Is 19 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1344593147 to the nearest integer?\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -15 - (-33 - 266\/(-19)). Sort 2, q, 7, -9, -7.\nAnswer: -9, -7, 2, q, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1220 divided by -60\nAnswer: 61\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 109746 and 101907.\nAnswer: 1426698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.9? (a) 0.2 (b) -0.5 (c) -49 (d) 0.1 (e) 268\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 20 (c) 2\/11 (d) 25 (e) -53.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*i + 3 - 4 - i)*(-52 + 52 + 3*i**2) as m*i**2 + r*i + l + d*i**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -s**4\/24 + 2*s**2 - 153*s. Let r(k) = 4*k. Give r(t(i)).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - d - 2 = 0, 192 = f + 5*d. List the prime factors of f.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + d + 16 = -3*b, -4*b + 5*d + 17 = 0. Differentiate 4 - b*g + 2*g + 0*g with respect to g.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/20 + (-291)\/(-15). Suppose -5*s + x = 5. Let o be (-4)\/14 + (-74)\/(-14). Solve -s*r - 1 = o for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 930 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 9:05 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2425 - 1101. Suppose 0 = -2*b + 3*j + 889, -5*j + c = 2*b + b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41950 and 100150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -8. Let a(c) = -2*c**3 - 4*c**2 - 7*c - 4. Let r be a(k). Suppose i + 14 = r. Is 20 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.483*-130.57.\nAnswer: 63.06531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7\/108 - 47\/108. Sort d, -0.4, 4\/9, 4 in increasing order.\nAnswer: d, -0.4, 4\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 5*b**2 + 3*b + 3. Let q be i(-5). Let m be (q\/8)\/(6\/152). Let t = m + 63. Calculate the remainder when t is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 340, -224, -1740, -4688, -9548, -16800, -26924?\n\"Answer: -80*d**3 + 4*d**2 - 16*d + 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 4*t = 9 + 3, 4*t + 12 = -2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 + (-29 - 7) + 21.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + (-275)\/25)*(-6)\/((-456)\/45 + 10)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 1827859 in descending order.\nAnswer: 1827859, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5852 to two decimal places.\nAnswer: -0.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49.331 - 142.354. Let z = -93.43 + 0.43. Let j = z - h. Round j to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18023*c*j*o**3 - 7*c*j*o + 11*c*o**3 - 84201*j + 44*o**3 wrt c?\nAnswer: 18023*j*o**3 - 7*j*o + 11*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 * 2329723\nAnswer: 1630806.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + -1*sqrt(77)*4)\/(sqrt(11) - (sqrt(132)\/(sqrt(48) + sqrt(12)) - sqrt(11))) + 5*-2*sqrt(112) + 4.\nAnswer: -209*sqrt(7)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*10\/2100*(-10)\/(-4)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-220)\/(-30)*(-6)\/4. Let a(b) = -2*b + 14. Find the common denominator of -39\/4 and a(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5016b1 (base 13) to base 4.\nAnswer: 13012003230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-294)\/(-5)*(-10)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 332260 - 332259.9680138. Let f = -0.032 + a. What is f rounded to 6 dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5475 by 5475.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -35\/13 (b) -1154 (c) -3.3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 9292*z**2 - 2 + 9299*z**2 + z**3 - 3.\nAnswer: z**3 + 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 7*o - 51. What is p(5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*s**2 - 22*s**2 + 108*s**2 - 27*s**2 - 31*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14293133.\nAnswer: 41, 89, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0*6\/(-12))\/(-4))\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3748\/15 + -250. Let f(u) = -u**3 - 14*u**2 - 12*u + 13. Let y be f(-13). Sort -2, o, y in ascending order.\nAnswer: -2, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -199785 or 0.1?\nAnswer: -199785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(-4)\/(60\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 15 + (-5 - 12\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 72305\/11 - 6565. Which is smaller: c or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/12001 and 31\/48004.\nAnswer: 48004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + -14)*1\/(-3). Suppose -u = -a*u. Solve z + u - 4 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*g = 264, 4*m - 279 - 105 = 4*g. Suppose 4*b + 96 = -m. Let x = 80 + b. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1697 + -1693 + (0 - (5 + -4)) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-336)\/(-24)*2\/(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7923882.\nAnswer: 2, 3, 557, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-28 + 27)\/(2\/106). Let g = -48 - h. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 0*m - m**3)*(-m + m + 2*m) - 19*m**2 + 19*m**2 + 10*m**4.\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 u when four letters picked without replacement from uuuuueefefeueueunu.\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -66*t**3 + t**2 - 1. Let m be s(1). What are the prime factors of (-5324)\/m + (-1)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 0 + 5)*(14 - 14 + 22)*(-6 + 4 + 4)*(-3*v**2 + 3*v**2 - v**4) to q*v + h*v**3 + y*v**2 + z + m*v**4 and give m.\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 145664 and 37554.\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3222\/33 + 64\/176. Which is bigger: h or 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*517.\nAnswer: -6721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360*p - 9647 = 870*p - 353*p for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1186114208.\nAnswer: 2, 17, 2180357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5 + -1 + sqrt(108))**2.\nAnswer: -12*sqrt(3) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 1030.\nAnswer: 4120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34.346969023 - -34.347. Round b to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of v**6\/40 - 3*v**5\/10 + 9*v**4\/8 - 7*v**2. Determine i, given that d(i) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 60*d - 33*d - 4*d**2 - 26*d + 6*d**2 - 1 - 6*d**3. Is r(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j. Let m(b) = -b**3 + 9*b**2 - 10. Let h be m(6). Let v(g) = 46*g + 51*g - h*g. Give o(v(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 193532 * -0.103\nAnswer: -19933.796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 + 140690*x + 989683805.\nAnswer: 5*(x + 14069)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/179906 and -81\/68264?\nAnswer: 266980504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 462144, 924111, 1386078?\nAnswer: 1848045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 2*j + 3. Determine m(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*j - 8 = -5, -4*j = 0. Solve -10\/7*p - 6\/7*p**x - 2\/7 - 2*p**2 = 0 for p.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13946?\nAnswer: 2, 19, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2163\/6*48\/28. Suppose -b = -7*x + 593. List the prime factors of x.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15437 divided by -4\nAnswer: 15437\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuzzuqzvuuvzszvzu. What is prob of picking 1 v, 1 s, and 1 u?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1\/70, 0.02 in decreasing order.\nAnswer: 5, 0.02, -1\/70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11 - -18531.47232.\nAnswer: 18531.58232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 0)*(0*s**2 - s**2 - s**2) - 471 + 471 + 25*s**2)*(0*s - 3 - 3*s + 2*s).\nAnswer: -29*s**3 - 87*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000469349 to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1993668733 to the nearest integer?\nAnswer: 44651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -5*c**5\/6 + 181682*c**4\/3 - 169562*c**3 - 290687*c**2\/3 + 1017377*c\/6 + 36335 = 0.\nAnswer: -1, -1\/5, 1, 3, 72670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 591558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence urm when three letters picked without replacement from riicucrccuccmmucmuum?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 + -23. Let l = 1\/26 + 23\/78. Sort -0.1, l, a in decreasing order.\nAnswer: a, l, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w + 10. Let q be g(8). Suppose 19*o - 11 = q*o. Let k = o - 0. Calculate the remainder when k is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 + -20. Differentiate -53*x - f*x + 6*x - 19 - 62 - 36 wrt x.\nAnswer: -73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33812836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 2*n**2 - 216*n - 61. What is the thousands digit of i(26)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1434 + 0.6434. Which is the third biggest value? (a) -5\/4 (b) d (c) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g**2 - 542*g - 8259. Calculate w(-14).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -4*w**4 + 9*w**2 - 17 + 38 - 23. What is the second derivative of m(g) wrt g?\nAnswer: -96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42c67 (base 15) to base 6.\nAnswer: -4313411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 5 (c) 6\/19 (d) -35 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence agnn when four letters picked without replacement from gnan?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140 and 476?\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**3 + 2*h**3 - 6*h**3 - 3*h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -278*u**3 - 1. Is i(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -3282575?\nAnswer: 1\/656515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4742311, -4742312, -4742313, -4742314?\nAnswer: -4742315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 0*h - 8 = -2*h, 8 = 4*d - 3*h for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 265?\nAnswer: 4\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 6720*s + 416633. Calculate k(-62).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 19679137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j. Suppose 3*k - 1 = -4*v - 0, -5*v = 4*k. Let q be (5\/(-4))\/((-1)\/v). Let s(n) = 3*n**2 + 0*n**2 + q*n**2 + 0*n**2. What is s(x(u))?\nAnswer: 32*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/509960*-1507 - (-128)\/(-3904)\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17961636091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1058\/14 - (54\/42)\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -62b8 + 3?\nAnswer: -62b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2917793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 15*o**2. Let w be (-16)\/(-72) - 4\/18. Let h = w - -44. Calculate the remainder when h is divided by j(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*o - 4 = 3*j, 4 = -o - 5*j. Put -5, o, -1.71 in ascending order.\nAnswer: -5, o, -1.71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -1 + 19. Solve 0 = 2*l + l - 3*j + n, 0 = -3*l + j + 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/14)*c\/c**(2\/19)*(c*c\/(c*(c*c**(2\/9)\/c)\/c*c*c))**(-1\/25))**(-44) assuming c is positive.\nAnswer: c**(-1283854\/29925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3\/5 - 69633*j**2\/5 - 400170537*j\/5 + 45280980693\/5.\nAnswer: -3*(j - 111)*(j + 11661)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -0.9, -0.2 in increasing order.\nAnswer: -0.9, -0.2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45127?\nAnswer: 45127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 a when two letters picked without replacement from ggjzggazg?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -438, -438, -440, -444, -450?\n\"Answer: -q**2 + 3*q - 440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -12. Suppose -16 = b*j + 5*m - 2*m, m + 12 = -3*j. What is the closest to -0.2 in 1\/7, 3\/4, j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*w + 5*x - 51, -2*w + 3 = -x. Suppose 35 + 37 = -w*i. Let s be i\/12 + (2 - -1). Which is bigger: s or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-150)\/72*(-2985)\/(-24875).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 6*n + 5. Suppose -7*x + 2*x = -25. Suppose -2*w + n = -3*h, x*w - 100 = -0*w - 5*h. Do w and -0.2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 4*i - 7. Let c be n(3). Let k be 4 + 10\/(-15) + c. Let r = 0.08 + 7.92. Put k, r, 0.5 in decreasing order.\nAnswer: r, 0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 27. Let l = k + 6. Let b = 6 + l. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + (-10)\/4)\/((-2)\/28). Let u = 0 + o. Suppose -2*n - 60 = -u*n. Calculate the least common multiple of 16 and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 136, 138, 142, 148, 156?\n\"Answer: n**2 - n + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 6 = 2*w. Calculate the lowest common multiple of 1 and 30*(8\/(-3) - w).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**2 + 3*l**3 + 0*l - l - 5*l**3 - l**4 + 2*l - 3 as k*l**3 + r*l + u*l**4 + p + n*l**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 131\/5 - 26. Let c = -113912\/25 - -4555. Find the common denominator of i and c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1391*t - 1364*t - 8424 = 0. What is the greatest common divisor of t and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -385472 or -385471?\nAnswer: -385471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100000011110111 (base 2) to base 5.\nAnswer: 3040044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*y = j + 7, 2*j + 2*y - 6 = 0. Let u(l) = -l - 7. Let f be u(-4). Let x be -3 + f\/(60\/(-64)). What is the second biggest value in j, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2)*(5*t**2 - 7*t**3 - 5*t**2 + (3*t**2 - t**2 - t**2)*(-5 + 2*t + 5)) in the form l*t + w + k*t**2 + h*t**3 and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 65206030223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2193 + 2192.6. Which is the nearest to -0.04? (a) v (b) 0.5 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.089775 to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*f + 16. Let z be (f\/(-30))\/(3\/15) + 4. List the prime factors of (z\/3)\/((-10)\/(-285)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 144 - 94. Calculate the remainder when 149 is divided by o.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - q = -3*q + 1810, 2*g - 1810 = -5*q. Let j = g + -615. Suppose 0 = -3*m - 2*x + 657 + j, -4*m - 4*x = -1260. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 2:58 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000103805 to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20540827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*s**5\/7 + 2985*s**4\/7 - 61038*s**3\/7 + 56052*s**2 + 53298*s - 11907 = 0.\nAnswer: -1, 3\/16, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 17*f**2 - 57*f - 43. Let x be l(20). Solve 0 = -7*v + x + 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*d - 3612 - 2372 = -125 for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(0 + (2 + sqrt(243)*2 - sqrt(243)*2*6))*3 + -5)**2.\nAnswer: -94500*sqrt(3) + 5468725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of 61*z**4\/24 - 17*z**3\/6 + 26*z**2. Let f = 26 - 4. Calculate the smallest common multiple of v(1) and f.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(195) + 1*sqrt(195))\/sqrt(5))\/(5*sqrt(6)\/sqrt(2)).\nAnswer: 2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/10*(15\/(-24))\/(-1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*m**2 - 3*m**2 - 4*m**2 - 12*m**2)*((1 - 2 + 0)*(-4*m + 5*m - 3*m) - 2*m - m + 2*m - m + 3*m - 4*m + m + 0*m + 4*m).\nAnswer: -108*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 5. Let x be k(5). What is the derivative of -2*l**4 + x + l**3 + 3 - l**3 wrt l?\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/369, -3\/16, -0.06?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q**2 - 6*q + 33. Let b be d(9). Suppose 2*a = -237 + b. Is a a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -d - 2*n, 3*d = -d - n + 15. Suppose -2*a + 16 = 2*p, a = -d*p + p + 17. Suppose -23 + 3 = -a*c. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -330 - -736. Suppose -p - 322 = -8*d. What is the highest common factor of d and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 + 18. Let p = v - -16. Suppose 0 = -4*z + 2*m + 70, -71 = -p*z - m - 6. Calculate the highest common factor of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, -4, 0.18 in decreasing order.\nAnswer: 4\/3, 0.18, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1150?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of g**5\/15 - g**4\/24 - g**3\/6 - 4*g**2. Let b be r(2). Suppose -5*c = 2*o - 36, b = 2*o + 3*c - 19. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*w**2 - 40*w**2 + 17*w**2 - 2.\nAnswer: -60*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -324654.079015 - -324653. Let w = 1.08 + b. What is w rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3*x**2 + 6*x = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*1 + 2 + (-102)\/27. Factor -2\/9*i**2 - x - 4\/9*i.\nAnswer: -2*(i + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7152908 and 56028?\nAnswer: 21458724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -731130\nAnswer: -2193390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4988 - 4986.1. Which is the second smallest value? (a) -2 (b) n (c) -0.6 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 30*c**3 - 4*c**2 + 9*c. What is the hundreds digit of v(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*t - 4*x + 41 = 160*t, -45 = -5*t - 5*x for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 2\/13, 241, -0.7, -1\/7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -1066?\nAnswer: -7\/1066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**2 + 7*b - 13. Let x(u) = -u + 23. Let t be x(12). Let k(f) = -f**2 + 4*f - 7. Give t*k(n) - 6*h(n).\nAnswer: n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 72677, 145357, 218037, 290717?\n\"Answer: 72680*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.16299t in grams?\nAnswer: 1162990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by -17?\nAnswer: -21\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 - 419944 + 419944.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/5*r - 2\/15*r**3 + 4\/15*r**2.\nAnswer: -2*r*(r - 3)*(r + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1920)*-1)\/(sqrt(100)\/(2*sqrt(10))) - (-3 + (sqrt(243) + 1 + 5 - sqrt(243) - sqrt(243))))**2.\nAnswer: 42*sqrt(3) + 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2\/9 (b) -18 (c) 21 (d) 2\/7 (e) -6\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 54*j**2 - 21*j + 1138. What is y(54)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in -4, 4\/23, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 6 = -9*p. Let g be (1 + p - -86)\/((-1)\/(-25)). Round g to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5425.759338 and -344?\nAnswer: 5081.759338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -8 (c) -0.2 (d) -152 (e) -5 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10010001110111 (base 2) to base 16\nAnswer: 2477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 3*a = -2*a + 12, 2*g - a - 3 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5471960*c**2*u**2 - c**2*u + c**2 - 2*c*u - 6661*u + 88 wrt u?\nAnswer: 10943920*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6, -6, -4, 0?\n\"Answer: h**2 - 3*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183 = -790*i + 729*i. Let t = 8\/13 - 29\/26. What is the smallest value in -3\/8, 1, i, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8290085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one eighths of a litre?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2403 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -43 - (2 + 2 - 7). Let d = v + 45. Suppose -1210 = -5*h + d*g, 3*h + 6*g = g + 710. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1573 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(32) + 0.\nAnswer: 1 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3 + (1*sqrt(720))**2 - (-5 + (-2*(sqrt(720) + (sqrt(720) - (sqrt(720) + -1*sqrt(720)))) + sqrt(720) + sqrt(720) - sqrt(720))).\nAnswer: 36*sqrt(5) + 719","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 2*h. Let x(z) = z + 22. Let k be x(h). Solve 5*q + 3 = -k for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5570)\/(-10) + ((-8)\/(-4) - -3) a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/sqrt(4)*-6)**2 + 3.\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 12 + 24)*(3*r - 3*r + r).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, -46, -123, -212, -313?\nAnswer: -426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 80*l + 3. Let u be p(-4). Calculate the common denominator of u\/36 - 4\/(-18) and 2\/4*(-106)\/(-16).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**5))\/(f*(f\/(f**(-3)*f))\/f*f*f)*(f*f**(-1\/3)*f*f)\/(f*(f\/((f\/f**(-7))\/f))\/f) assuming f is positive.\nAnswer: f**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22\/(4 + 7) - -23*1655 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3705542.\nAnswer: 2, 1852771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*x - 200 = 19*x. Suppose -4*s = 2*h, 3*s = 4*h + 9 - x. Solve 0*a + 2*w + 6 = -a, 0 = -h*w - 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 629535.4l in millilitres?\nAnswer: 629535400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b**2\/6 - 7536114*b = 0. What is b?\nAnswer: 0, 45216684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26 + 37 - 6*k + 68 to the form n + v*k and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*t + 1262. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 12*d. Let s(p) = 11*p. Let a(z) = 7*s(z) - 6*w(z). Suppose -38*c = -8*c - 240. Let u(n) = 3 + 5 - 2*n - c. What is u(a(i))?\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 + 95 - 103 + 1070*o)*(-1 + 0 + 0)*(6 + 27 + 7) in the form f + a*o and give f.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(342)\/sqrt(6)*3)\/(2*sqrt(432)*3).\nAnswer: sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13 or -18\/13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -9*q + 53\/2*q**2 + 75\/2*q**3 + 0 + 2*q**4 = 0?\nAnswer: -18, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5448)\/(-27) - 4\/(-18). Suppose 212*i - 216*i + 12 = 0. Let t = w - i. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 3*v + 6 + (-6 + 3 + 2)*(-2*v + 0*v + 3*v))*(4 + 32 + 2) + 2*v + 2*v - 5*v.\nAnswer: -153*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u - 10 = 14*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*m + 232 = 149*m - 98 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 22 = -4*p. Suppose 556 = -p*y + 12*y. What is y rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1198*p - 14 = -2*x - 1195*p, -p = 6*x - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -215434.0245 rounded to the nearest 100?\nAnswer: -215400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 71 + -48. Suppose 184 = 27*d - b*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/4 and (-17)\/((-45492)\/(-32342)) + 12.\nAnswer: 2676","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -39, 28, 3, 0.01, 2.7, 4, 32?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2\/23, -1\/3, 4\/15, -0.1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 4.1722?\nAnswer: -0.41722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5 + 11894*x**3 - 4*x**2 - 3970*x**3 - 3968*x**3 - 3963*x**3. Let y(h) = -4*h**3 - 2*h**2 - 2. Give 2*o(g) - 5*y(g).\nAnswer: 6*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-48 + 15 + 123 + 87)*(-27*t**2 - 665*t + 665*t) to g + f*t**2 + i*t and give f.\nAnswer: -4779","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -27. Suppose -s - s - 4*p = -26, -5*s - 3*p = -l. Solve s*v + 0*k - 12 = -2*k, v - 5 = -k for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5 = -8*k. Suppose 4*x = 110 - 14. Calculate the remainder when (k\/(-2))\/((-6)\/1104) is divided by x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-6))\/((-6)\/(-126)). Suppose 3*x - d = -1. Suppose x*t = 6*t - 508. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 187*u - 4. Let h(p) = -8*p. Determine -2*h(g) + z(g).\nAnswer: 203*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5382\/17 or 317?\nAnswer: 317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*l - 4 = 142*l. Let h(m) = 0 + l - 5*m + 0 + 2*m. Let b(c) = -4*c + 1. Let n(o) = 7*o - 2. Let g(r) = 5*b(r) + 3*n(r). Determine 2*g(i) + h(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v**(-2)\/v)\/v*v)**(-40)\/(v*v*v**2*v*v\/(v**(-6)*v)) assuming v is positive.\nAnswer: v**69","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 - -40. Let l(w) = -7*w + 9. What are the prime factors of l(j)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j**3 + 5808855*j - 11617679*j + 4 + 5808824*j - 4.\nAnswer: 11*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 116.06 and -8.\nAnswer: -928.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/1020 and -39\/8024.\nAnswer: 120360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/(-936))\/(4\/(-6))?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.172 - 0.272. Which is greater: n or -238?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -s**3 + 2*s + 99. Let q(c) = -2*c**2 + 1. What is -5*q(l) + 4*r(l)?\nAnswer: -2*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 151431 - -105.9.\nAnswer: 151536.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 33*w**3 - 33*w**3 + 64*w**3 - 4*w**2 + (w**2 + 2*w**2 - 2*w**2)*(2*w + 0*w - w).\nAnswer: -w**3 - 4*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 854559578 to the nearest integer?\nAnswer: 29233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2584 by 76.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8565511?\nAnswer: 71, 120641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 393735, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 6 = -2*k + 2*c, 3*c = -2*k - 43. Let m(l) = 4*l**2 - 2*l - 103. Is m(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3 = 3*x, -3*s = x + 4*x - 5. Solve j - x = 4 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134591 is divided by 67200?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**4\/12 + 22*i. Suppose 4*f - 37 = 15. Let r(d) = -6*d + 18*d + f*d. Determine o(r(u)).\nAnswer: 625*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1475)\/45 + 651\/837.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 12*m**2 - 13*m + 213. Determine a(11).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -4*w - 259955 + 2602912, 0 = -n + w + 468595. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*o + 0*o - 4*o)*(-o - 2*o + 2*o)*(-4*o + 0*o + 0*o) to the form t*o + u*o**2 + s + d*o**3 and give d.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(2\/9)*v)**(1\/29)*(v\/(v**(-1\/9)\/v))\/(v*v**(-2\/91)*v))**(-7) assuming v is positive.\nAnswer: v**(-513\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -18*n**3 + 224*n**2 + 1750*n + 900 = 0.\nAnswer: -5, -5\/9, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h = -33*h + 20174. Does 8 divide h\/5 - (-6)\/(-360)*12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + (-3 + sqrt(125) + 4)*2 + -1 + sqrt(125) + -4 + sqrt(125) + sqrt(125) + 2).\nAnswer: -150*sqrt(5) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03096553 rounded to three dps?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 474413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r**2 + 5*r**2 - r + 2*r**2. Suppose 5 = -2*n + 5*m - 2*m, 3*m - 3 = 0. Calculate the least common multiple of 12 and j(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 5*q = 0, -351*a + 19 = -348*a + 2*q for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 4*d**2 + 2*d - 5. Let g be y(4). Suppose 4*q - 5 + 1 = 0. Let a = q + g. What is the greatest common factor of 8 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -6. Calculate the lowest common multiple of (-3)\/4*-2*8 and (-18)\/(-3)*u*-1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6443.3 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1561.4 + 1559.4. What is the nearest to l in 0.1, -4, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -333*h - 2686 = -429*h - 574 for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -55.02 (b) 4 (c) 63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 451 and 583.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.647 rounded to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18623 and 7.\nAnswer: 130361","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, -3\/11, 26?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -193 - b + 6*b + b - 5*b + 4*b + 14*b**2 wrt b.\nAnswer: 28*b + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44424 and 2?\nAnswer: 44424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38.2 + -38. Which is the second smallest value? (a) 3 (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -18. Let n be 3\/1 + -2 + v + -1. Solve -2*h - n = -p + 6, -10 = -h + 5*p for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 818 and -2.59.\nAnswer: -2118.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -110*x + 113*x - 26, 0 = 4*x + 5*i + 91 - 166 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 33*y + 1. Let u be r(1). Let o be -3 - -4 - 8\/(-2). Find the third derivative of -5*a**o - 2*a**5 + u*a**2 - 31*a**2 wrt a.\nAnswer: -420*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3908032753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -168 (base 13) to base 8\nAnswer: -377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 163 + 90. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09655 + -19480.3?\nAnswer: -19480.20345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k**4\/7 - 184*k**3\/7 + 268*k**2\/7 + 632*k\/7 + 174\/7 = 0. What is k?\nAnswer: -1, -1\/3, 3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 13*q**2 - 6*q - 1. Let y be m(12). Let d be y\/2 + 45\/(-30). Let s = 168 + d. List the prime factors of s.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 7 - 19 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60954*f**2 - 121906*f**2 - 173*f + 173*f + 60952*f**2 - 12*f**3.\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4149222 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6665 a factor of 4027052985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19690\/1074 + (-4)\/(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 101308 (base 11) to base 4\nAnswer: 213233001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.813262 rounded to 2 dps?\nAnswer: 57.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 4 - (-6 - (-1 - 4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 22 + 66. Calculate the remainder when 18 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 2\/9 (c) 18 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4026, -7928, -11714, -15390, -18962, -22436, -25818, -29114?\n\"Answer: -v**3 + 64*v**2 - 4087*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 1914360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r + 2. Suppose 0 = -z - 3*z + 2*k + 6, 3*k - 1 = z. Suppose x = z*j + 3*x, x = 0. What are the prime factors of g(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -299, -998, -2363, -4616, -7979?\nAnswer: -12674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -25*f**4\/24 + f**2. Suppose -2*d - 10 = 5*i, -3*i - 108*d - 27 = -111*d. Is 20 a factor of g(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*i - 8. Let t(a) = -3*a**2 + 24*a - 2. Let d(y) = -y**3 + 4*y**2 - 2*y + 5. Let n be d(3). Let b be t(n). Put i, 1, b in descending order.\nAnswer: i, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8644858 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-y**2 + 2*y**2 - 3*y**2)*(-y - 3*y + 3*y) - 3*y**3 - 34*y**2 + 34*y**2)*(-2*y**2 - 2*y**2 + 3*y**2).\nAnswer: y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 49982*m**4 + 9037?\nAnswer: 199928*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(96\/(-8)))\/(8\/6)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-6))\/((-16)\/48)*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -g**4\/12 + 7*g**2. Let n = -12 + 17. Let k(m) = -n*m + m + m. Calculate l(k(z)).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203862 is divided by 50925?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {u: 2, a: 3, d: 7}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280428*22.\nAnswer: 6169416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2620.\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-19)\/(-114)*2*33508 - 6\/(-9)?\nAnswer: 2, 5, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -13\/5, -327755 in descending order.\nAnswer: -2, -13\/5, -3, -327755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/8 of a litre in millilitres?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-7)*(-42)\/24*810. Calculate the highest common factor of 15 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(-4*q + q + q)*((5 - 1 + 5)*(13*q - 5*q - 4*q) - q + 3*q - 4*q).\nAnswer: 68*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -280, -29, 4, -1, -2 in ascending order.\nAnswer: -280, -29, -2, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/3 - 27636904*p + 286424423514456.\nAnswer: 2*(p - 20727678)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4373 - 0.43679636. Round w to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/(j**11*j)*j))\/j**(-1\/4))**13)**(-8\/19) assuming j is positive.\nAnswer: j**(-1170\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*k + 29*k + 11*k + 100*k as u + o*k and give o.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -8. Suppose 2*p + t - 55 = 0, 3*p - 3*t - 69 - 36 = 0. What is the highest common divisor of m and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 311 (c) -4 (d) 1\/10 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of 34*f + 3 + 35\/12*f**4 - 75\/2*f**2 - 35\/6*f**3 - 1\/4*f**5. Factor q(j).\nAnswer: -5*(j - 5)*(j - 3)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -35981.57 and 2.\nAnswer: -35979.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**5\/9 + 16*o**4\/3 + 68*o**3\/3 + 352*o**2\/9 + 64*o\/3 = 0. What is o?\nAnswer: -4, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 500151?\nAnswer: 3, 293, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107 = -11*r + 7*g - 20*g + 11*g, 139 = -3*r + 4*g for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(6\/108) - -3)*-211. Suppose 1444 = h - 5*x, -3*h = 2*x - b - 1252. Is h a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6407 (base 11) to base 14.\nAnswer: 3137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 28 = -20. Let k(t) = -t - 5. Let s be k(-5). Suppose -4*m + 2 = -5*i, -3*m + b*i - 1 + 2 = s. Solve -c - 8 = -m*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q + 7 = 0, -13*q + 10*q + 125762 = 5*s. Round s to the nearest 1000.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1780 divided by -178\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*sqrt(847) + 3 + 2*sqrt(847)*1 - ((sqrt(847) - (-1*sqrt(847) + 1 - sqrt(847)))*-5)**2)*-3 + 2.\nAnswer: -4950*sqrt(7) + 571791","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -373 + 3870 = 269*s for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -7*o - 179. Let m be q(-26). Sort -4, -7, -3, m in decreasing order.\nAnswer: m, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4161 and 4503.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 + -72. Let v = -3 - p. Suppose 0 = -n - 0*n + 56. What is the remainder when n is divided by v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**25\/l*l)**(2\/105)\/(l**(-1\/34)\/((l\/(l**11*l*l))\/l)))**(-40) assuming l is positive.\nAnswer: l**(178420\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06893 less than -19387?\nAnswer: -19386.93107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**2 + 7048488*w - 3105073942884 = 0. Calculate w.\nAnswer: 881061","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35152*w**5 + 3*w + 211 wrt w?\nAnswer: 703040*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-9 - -4) + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12029?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 471\/5 + -94. Let f = -22.28 - -24.3. Let m = f + -0.02. Which is the smallest value? (a) i (b) m (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - 3. Which is the third smallest value? (a) -2\/5 (b) y (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1890 less than 14492473?\nAnswer: 14490583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/12)\/((-9)\/24). Suppose -150 = v - x*v. Suppose -2*r = 10, 0 = -3*c - 2*r - v + 211. List the prime factors of c.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**5*i**4)\/(i\/(i**(-1)\/i))**(-7\/10))\/(i**(-1\/5)*i**6\/i*i)**(-1\/22) assuming i is positive.\nAnswer: i**(125\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (125\/(-2)*(-1)\/20)\/((-11)\/(-88))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (708 - (-15 + 26))\/17.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 9:12 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 26 = 34. Suppose 2*i + 32 = -f - 21, f = -4*i - 105. Let b = 72 + i. Calculate the remainder when b is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 884 = 4*h + 4*p - 400, -641 = -2*h - 3*p. Calculate the greatest common factor of h and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 3, 0.2, 1.\nAnswer: 0.2, 1\/2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of (18\/8)\/((-79155)\/(-26380) - 8 - -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -42\/444797?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 - 68*y**2 - 1724*y - 3168.\nAnswer: (y - 88)*(y + 2)*(y + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 408345050.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 23 (b) 594 (c) 0.4 (d) -1\/6 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 4*l**2 - l + 2. Let q(b) = b**3 + 5*b**2 - b - 10. Let f be q(-5). Let w be n(f). Is 1287 + 48\/(-26) + w\/117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h + 10. Let x be w(-6). Let g(c) = -4*c + 6*c + x - 3*c + 3. What is g(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 6*b = -4, -2*p = -4*b + 4 - 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 1 + -7 + -5 + 2115. Suppose -j - 12*j = c. What is the tens digit of (j\/12)\/((-15)\/(-8) - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123645 is divided by 1736?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3*348\nAnswer: 1044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7505096 is divided by 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-11)*u)\/(u*u**(-5\/3)))**(-5\/6) assuming u is positive.\nAnswer: u**(70\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16\/(-4))\/2)\/((-9)\/252*4).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(-74*k + 54*k + 51*k) + (4 + 4 - 3)*(-2*k + 2*k + k).\nAnswer: -26*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2139733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -118, -4, 3, 9 in increasing order.\nAnswer: -118, -4, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**2 + 136*s - 1289. Give w(-53).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5291000 rounded to the nearest one hundred thousand?\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, 3, 10, -5 in increasing order.\nAnswer: -46, -5, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2 + 5*w + 8. Calculate b(5).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13002121333 - 131?\nAnswer: -13002122130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1525775*f**5*z - 8*f**4*z + 4240*f*z + 117*z wrt f?\nAnswer: 30515500*f**3*z - 96*f**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*k + 12133 - 12241 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-7 + 11 + 20 - 12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35266033, 70532061, 105798085, 141064105, 176330121, 211596133, 246862141?\nAnswer: 282128145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 1 = 2*x, -1 = 6*x - 5*x + 3*l. Let j be (-1)\/(-2 - x\/4). Sort j, 1, 5, -1.\nAnswer: -1, j, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.2 + -1.6. Sort 0.06, x, -2.\nAnswer: -2, x, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117561121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17\/3 + -349\/60. Is 0 bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1787759, -1787760, -1787761, -1787762?\n\"Answer: -j - 1787758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 10*k = 15, 5*z + 2*k = 486. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - -1 - -2*1267\/14. Suppose 0*q + 4*q - 5*w - 170 = 0, -4*q - w + z = 0. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34046 is divided by 4248.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/(-12 + -9)*24. Suppose 0 = 13*x + y - 34. Solve 3*b - f = -11, x*b - 4*f + 2*f + 10 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*h + 1 = 6, h = 5*m - 7. Let y = 0 + m. Let c(i) = 4*i + 3. Let l(n) = -n - 1. Suppose 0 = 3*s + 2*q + 3 - 14, 4 = s + q. Give s*l(x) + y*c(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**3 - 5*g**2 - 5*g + 4. What is the least common multiple of z(4) and 54\/4 - (-216)\/(-144)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1679560 rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 37*c + 1290. List the prime factors of b(26).\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r - 2*r)*(-2*r**2 - 2936*r + 1229*r**3 + 5867*r - 2934*r)*(-2*r - 1 + 1).\nAnswer: 4916*r**5 - 8*r**4 - 12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 639?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2038659, -2038644, -2038631, -2038620?\n\"Answer: -c**2 + 18*c - 2038676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 47*q**5\/5 - 277*q**2 + 3*q - 88. Differentiate d(l) wrt l.\nAnswer: 564*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131.96493 rounded to two dps?\nAnswer: -131.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 107754 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) 5 (b) -414 (c) 1\/147 (d) -0.5 (e) 2 (f) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 13 = 4*d - 3, d - 13 = 3*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1 = -v. Let k be (21 + (-1)\/v)\/2. Let j = k - 10. Solve -u + 5*q - 7 = j, u - q + 7 = -2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.22 + 0.396.\nAnswer: 0.176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-15)\/4*112\/(-84)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20464852*s**2 - 199045435.\nAnswer: -40929704*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210027 is divided by 209993?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xtxcxttxfctttttic. What is prob of sequence ixt?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*z**2 - 3*z**2 + 3*z**2)*(1007*z**2 - 1304*z**2 - 345 - 3654*z**2 + 345) as h*z**3 + c*z + l*z**4 + b*z**2 + q and give l.\nAnswer: -19755","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 47*278917\nAnswer: 13109099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.26815 to three dps.\nAnswer: -1.268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 114*i**2 + 1. Suppose 0 = r + 3, -h - 4*h - 2*r - 1 = 0. Suppose -5 = -6*k + h. List the prime factors of d(k).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5b (base 15) to base 3.\nAnswer: 10012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57*b - 24*b - 3 + 28*b + 957*b**2 - 27*b - 32*b to t*b + y*b**2 + u and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0\/k)\/k*k**(-1\/9))**15\/((k*(k**(2\/9)*k*k)\/k)**16*k\/k**(6\/7)*k*k**7\/k*k) assuming k is positive.\nAnswer: k**(-4748\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9793, -9744, -9587, -9268, -8733, -7928, -6799?\n\"Answer: 9*i**3 - 14*i - 9788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006466 to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 2, 2\/35, -2\/9, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.4, -65\/97, 1 in decreasing order.\nAnswer: 2, 1, -0.4, -65\/97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.062 and 8689444635.7?\nAnswer: 8689444635.762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 158, 303, 472, 677, 930, 1243, 1628, 2097?\nAnswer: 2662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 153733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -66*g - 80. Let i be -1 - (5 - 7)*(0 - 2). What is the units digit of m(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56 - -225\/4. Let p(b) be the first derivative of -b**2 - b**3 + 3 - w*b**4 + 2*b. Let o(u) = -3*u**3 - 10*u**2 - 7*u + 7. Give -4*o(n) + 14*p(n).\nAnswer: -2*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18370 - -26391. What is the highest common factor of 13 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g + 0*g + 0*g + 2*g + 7*g + 2*g + (1 - 1 - 2*g)*(-2 + 2 - 2) - 3*g + 3 - 3 + 0*g + 0*g - 6*g + (1 - 1 - 1)*(2*g + 0*g + 0*g) to w*g + p and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 + 46)*(-11*o + 1 + 20*o - 8*o).\nAnswer: 46*o + 46","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 11:46 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -15. What is the highest common factor of 1 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, q: 1}. Give prob of sequence yy.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(3\/2)\/((v**11*v)\/v) assuming v is positive.\nAnswer: v**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 4. Let y = a + -2. Suppose -c - y*c - 15 = 0, t + 5*c = -27. What is the biggest value in 0, t, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 8:42 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 13*n - 38. Let h be w(-36). Find the first derivative of h - 6*v - 838 - 791 + 4*v**2 wrt v.\nAnswer: 8*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(308)*-1*-2)\/(sqrt(1100)*2))\/(sqrt(4) + sqrt(20)\/sqrt(5)*1 - (sqrt(196) - (sqrt(196) + (sqrt(196) - -3*sqrt(196))))).\nAnswer: sqrt(7)\/300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p**2 - 10*p - 4. Let b(m) = m**2 - 2*m - 1. Let u = -80 + 78. Let g be (u*1)\/(8\/(-12)). Calculate g*y(n) - 14*b(n).\nAnswer: -2*n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n - 13. Determine s(-4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -5*y + v + 28, -2 = -2*y + 5*v. Let f be y - -1 - (-2)\/(-2). Suppose 2*x + 116 = f*x. Is x a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -286*t*y**3 - 136*t*y**2 + 299*t*y - 273976*t + 28*y**2 wrt y.\nAnswer: -1716*t*y - 272*t + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-585)\/(-18))\/(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 40, -11, 5 in ascending order.\nAnswer: -11, 1, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1064)\/112)\/((21\/6)\/7)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78 and 35191?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2260551 + -19349.\nAnswer: -19349.2260551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3883519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.0611 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + f - 38, 4*f - 9 + 13 = i. Suppose -21 = 4*m + 5*d, -11*m + i*m + 19 = -4*d. What is the nearest to -2\/5 in -0.2, -0.1, m, -1\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**3\/5 + 4836*d**2\/5 - 2928192*d\/5 + 5837056\/5 = 0.\nAnswer: 2, 1208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + 0.1. Let m be -2*1\/(-4)*(-20)\/35. Which is the closest to 1\/4? (a) r (b) m (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 3 + 1. Let i be (4\/(-12))\/((-5)\/(-2295)*9). Is i bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5 + 294*c**4 + 1737*c**3 + 2596*c**2 + 1152*c.\nAnswer: c*(c + 1)**2*(c + 4)*(c + 288)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n + 7. Let y be c(5). Let o be y\/6 - (-1)\/(-3). Solve o = -2*a - a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7821)\/(-81) - (4 + -1). Let w = 3293\/36 - d. What is the common denominator of -1\/48 and w?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 269 = 4*j, 0 = -2*c - 5*j - 2380 + 2448. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -194 * -2\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1833\/(-65))\/((-3)\/(-15)). Let k = y + 482. What are the prime factors of k?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/(-9) + (-227704)\/(-52752) and 75\/34?\nAnswer: 37366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -60 - 56*h**2 + 363*h**2 - 177 + 215 + 231*h**2 in the form k*h + d*h**2 + b and give b.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*r - 650*r = -3622 - 2562 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -500, -4136, -14004, -33218, -64892, -112140, -178076, -265814?\n\"Answer: -519*b**3 - 2*b**2 + 3*b + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**2\/(w**(-11)\/w*w) assuming w is positive.\nAnswer: w**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -69 - ((-612)\/45 + 13 - ((-546)\/35 + 6))\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-5) - 308\/(-70). Suppose -5*s + 2960 = -w*v, 5*v + 4*s + 2336 = v. What are the prime factors of (v\/9)\/(6\/(-9))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 14) to base 9\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 615\/(-738)*6\/10?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*n - 45*n + 15*n as x + j*n and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -7*a + 8*a. Suppose 5*l - k - a = 3*k, 0 = -2*l + 3*k + 15. Differentiate b - 5 - b + 10 + 4*b**l with respect to b.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90099, 180202, 270305, 360408?\nAnswer: 450511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 8, w: 2}. Give prob of sequence uw.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35\/3 - -11. Let a = -0.1 + 0.2. Suppose -4*b = -3*m - 14, -6 = -5*m - 16. What is the third smallest value in k, a, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**3 - 77614 + 77614 - 1088*c**2.\nAnswer: -2*c**3 - 1088*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17706049 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -89567 by 2.\nAnswer: -89567\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**3 - i**2 - 4*i + 1. Let x(g) = -3*g**3 - g**2 - 5*g + 1. Let u be ((-9)\/12)\/1*4. Let n(o) = u*x(o) + 4*w(o). Give n(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*i + 20*i = -10. Suppose 5*q - i*p + 117 = -2*p, q - 2*p + 22 = 0. Let r(u) = u - 23. Let t be r(0). Which is smaller: q or t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17632857?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-9) - (-88)\/9. Let l = 14492 + -14487. Solve -5*j = d - l for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, -4, 3, 18, -13, 0.5, -0.067?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 at least as big as 62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2*y + 1048, n - 165 = 3*y + 349. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13333772 divided by 4\nAnswer: -3333443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2144544908 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: Let d(m) = 2*m**2 - 112*m - 7785. Determine d(-40).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**17\/(j\/(j\/j**(-2)))**30 assuming j is positive.\nAnswer: j**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -1. Let o = t - 0. Let u be 116\/140 + (-10)\/25. Which is the third smallest value? (a) -3\/7 (b) u (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -56*w - 15. What is the hundreds digit of a(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 6*m - 7*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*t + 16. Calculate the remainder when 77 is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - ((-76)\/(-4) + 11470\/(-651) + 8)?\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*g - 143*g + 34*g + 36*g + 30*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2. Let t(g) = -1070*g - 16*g + g - 550*g. Calculate h(t(k)).\nAnswer: 5346450*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j + 27. Let k(b) = -10*b + 4. Let a be k(1). Let s be l(a). Suppose -1198 = s*z - 6109. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k + 2. Let o(a) = 7*a. Let p(j) = -3*j. Let l(h) = -2*o(h) - 5*p(h). Calculate 2*l(g) + q(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27384 and 2688.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of 5*a**4\/8 + 5*a**3 + 66*a**2. Does 15 divide k(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 + 5025*l**2 - 10041*l + 5019.\nAnswer: -3*(l - 1673)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -o - 43 + 119, 4*m = 2*o - 104. Let h = -2 - m. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1132230 by -5170.\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29\/1496 - 3\/88. Let d = -329209\/1811724 + 3\/8881. Let v = i - d. Which is the smallest value? (a) v (b) -5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(3*1*sqrt(11) - sqrt(11)))**2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 345159?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.7932 + 6.199. What is g rounded to 1 decimal place?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/((-18)\/(-4)) - 1. Let t(l) = -36*l + 3. Let r be t(b). Suppose -2*v - r = -5*v. Calculate the remainder when 108 is divided by v.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 180 - 177. Let r = 54 - 54.06. Is k >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10550591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 936 and 3024.\nAnswer: 39312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 7. Let d(s) = -2*s**3 - 2*s**2 + 2*s. Let g be d(a). Let i(u) = -u**2 - 10*u - 11. Let w be i(-8). Solve 0*o - w*o = -5*j, g*o = j + 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2 + 7*q - 31. Let v be l(-15). Round v to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 9*j**2 + 3*j + 11. Let k(c) = 4*c**2 + c + 5. Give -3*f(p) + 7*k(p).\nAnswer: p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -14669, 2\/9, -4, -0.1, -2, -5 in descending order.\nAnswer: 2\/9, -0.1, -2, -4, -5, -14669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 8:06 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9487938 divided by 1114.\nAnswer: 8517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -141, -126, -67, 60, 279?\nAnswer: 614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 248 - 216. Suppose -40*x + 16 = -a*x. Solve 0 = i - v, v - x*v + 20 = 4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 2*h**4 + 2*h)*(357 - 357 + 82*h) - 3*h**5 - 2*h**5 + 7*h**5.\nAnswer: 166*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, g: 4, j: 3}. What is prob of sequence cj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.046 - -1.046. Let o = -0.1 + -3.9. Sort o, -1, l in descending order.\nAnswer: l, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 4*m + m)*(-1610 - 2002 + 4738*m - 4739*m).\nAnswer: 2*m**2 + 7224*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 5*g = -2*y + 2*g - 18, 0 = 15*g - 45. Let s be 0\/(1 + 0\/2). Suppose 0 = -0*b + 5*b + 5*l - 5, 3*b = -2*l + 3. Sort b, 4, s, y in ascending order.\nAnswer: y, s, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(125))**2 + sqrt(5) + sqrt(15)\/sqrt(3) + -3.\nAnswer: 2*sqrt(5) + 122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*g = 11, n - 1 = -0*n + g. Let t be (-4154)\/(-18) + n\/18. Is t\/9 + (-2)\/(-6) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**3 + 169*z**2 - 158*z - 4301. Determine w(-85).\nAnswer: 1904","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5326742.\nAnswer: 2, 37, 71983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 2\/23 (b) -3 (c) -444 (d) -1\/4 (e) -47 (f) -2\/5 (g) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-one halves of a milligram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/530 and 121\/80.\nAnswer: 4240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 q when two letters picked without replacement from kkkq.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 5*s = o - 63, 11*o = 22551*s - 22548*s + 68 + 116 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of 181*i**4\/24 - 2*i**3\/3 + 50*i**2. What is the tens digit of k(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4562699263 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 68605961?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4694759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1 - 113)*(-1 - (-529)\/552)?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -455 - -461. Let h(b) = b**2 - 5*b**2 - 4*b**2 + 6*b**2 + b + c*b**2 + 1. Give h(-3).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -0.19, 2.5, -5, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1441 = -17*x - 1840. Let r = x + 402. Is r even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 33 - 3. Suppose o - d = -4*f, -8*o = -4*o - 4*f. Find the second derivative of -w + o*w + w**2 + 0*w wrt w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3098*f**2*k**3 - 115*f**2*k**2 + 13*f**2*k + 20*f*k**3 + 4*f*k**2 - 1 wrt k.\nAnswer: 18588*f**2 + 120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 + 47 - 2*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a. Let m(q) be the third derivative of 191*q**4\/24 + q**2 - 24*q. Determine c(m(u)).\nAnswer: -955*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l**2 - 7*l - 17*l + 30*l)*(-15*l - 14*l**2 + 2*l**2 + 8*l**2) to j + z*l + t*l**2 + k*l**3 + h*l**4 and give k.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 q, and 1 p when four letters picked without replacement from cpqcqcc?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 563 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1768, -321, 4 in ascending order.\nAnswer: -321, -1, 4, 1768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2682069, 1 in ascending order.\nAnswer: -5, 1, 2682069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000700224607 to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/309990 and 38\/215.\nAnswer: 13329570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1110 - 2080 = -119*h + 1808. What is the greatest common divisor of h and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1081927, -1081930, -1081933, -1081936, -1081939, -1081942?\n\"Answer: -3*d - 1081924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8395795 millennia in decades?\nAnswer: 83.95795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7294401 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 k when three letters picked without replacement from {b: 1, k: 3}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 192853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 5*z = 60. What is the remainder when 32 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 54*x + 8*x - 372. Solve -25 = -x*k + 3*k - 2*q, -2*q - 15 = -5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(17)*1 + 4.\nAnswer: sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 150 = 4*d, -53 - 21 = -v + 3*d. Let l = -387\/5 + v. Let n = 54\/7 - 8. Which is the closest to l? (a) 0 (b) -2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 6*p - 11*p. Suppose 22 = 4*g - 5*a - 9, -13 = -4*g - a. Suppose -p*x + 7 = c, -4*x + g*c = 3*c - 5. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**2\/(k*k**(37\/2)) assuming k is positive.\nAnswer: k**(-35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -5*q - 2. Let h be a(-1). Solve h*t = -5*d - 19, -d = 3*t + d + 13 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 364, 21, -4 in decreasing order.\nAnswer: 364, 21, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6 - -1*(14 + -6). Suppose 0 = d*x - 2*c - 32220010, -2*x + 32219985 = -21*c + 24*c. What is x rounded to the nearest 100000?\nAnswer: 16100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**3 - u**2 + 6*u + 6. Let p be d(7). Suppose 2*z = -2*z + p. Let q = -169 + z. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8803493g in kilograms?\nAnswer: 0.0008803493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 10:49 AM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 138819 or -172?\nAnswer: -172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3136 and -14.\nAnswer: -43904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 86, 179, 298, 455, 662, 931, 1274, 1703?\n\"Answer: 2*v**3 + v**2 + 76*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -216?\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/sqrt(3)*5 - ((sqrt(40)*1)\/sqrt(5) + sqrt(8)).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -821 - -825. Solve q*i - t - 18 = 0, 4 = 2*i - 3*t - 0*t for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1*4\/2)\/(-1). Suppose -v + 10 = 5*q, 4*q + 4*v - 5 = 3. Suppose -868 = -a*t - q*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -186 or -187?\nAnswer: -187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.4 - 2.3. Put c, 2\/5, 1\/6 in ascending order.\nAnswer: c, 1\/6, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 - 55*u + 259585. Let b(y) = y**2. Calculate r(b(l)).\nAnswer: 2*l**4 - 55*l**2 + 259585","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.3 + 6. Which is the fourth biggest value? (a) g (b) 3\/4 (c) 2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of d**3 - 145*d**2\/2 - 11*d - 8. Let z be l(25). Sort z, -2\/3, 2.3 in decreasing order.\nAnswer: z, 2.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3445.14 - -3408. Let a = g - -0.14. Let d = a + 35.15. Round d to 1 dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 482715471.\nAnswer: 3, 7, 22986451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21108 is divided by 227.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1384263740 a multiple of 2021?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 36\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*q = -376, q + 1512 = 4*t + 5*q. What are the prime factors of t?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-69)\/6*-24*(-2)\/24\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100 - 10001111000011?\nAnswer: -10001111011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-4)*(-90)\/(-135))\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -26*g**3 - 6*g**2 - 11*g - 6. Suppose 4*y + 12 = 3*q, -6*q + 6 = -2*y - 2*q. What is the hundreds digit of x(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l - 8 + 4*l**2 + 7 + l. Suppose 5*t + 13 = -2*b, -4*b + 2 = -2. Let a(d) be the second derivative of d**4\/4 + d**3\/2 + 4*d. Give t*a(p) + 2*s(p).\nAnswer: -p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**3 - 21*q**2 + 476*q + 1564. What is k(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((3 - -6)\/(-3))\/(-1) + (-110)\/44. Suppose -4*f - 2*q + 74 = 0, -5*f + 69 = 3*q - 21. Which is smaller: c or f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -194, -423, -654, -887, -1122?\nAnswer: -1359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48871*q**2*v**2 + 2041*q*v**2 + 6*q wrt q?\nAnswer: -97742*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (-1 + -1 + -3). Solve 3 = -a*d - 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -3*z + 159895, 100 = -5*l + 75. What are the prime factors of z?\nAnswer: 5, 7, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s**2 - 37 - 4*s**2 + 8*s**2 - 4*s**2 + 2*s. Is y(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*h**5 - 1410*h**4 - 2*h**3 - 10178261*h**2.\nAnswer: -1680*h**2 - 33840*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 4*a**2 + 9*a - 3. Let q be t(-7). Let v = -179 - q. What is the highest common factor of v and 306?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + -1. Suppose -4393 = 7*q - 4351. What are the prime factors of t - (q*3\/6 - 296)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*l + 81*l**2 + 25*l - 26 - 13*l + 28 as x*l**2 + j*l + o and give x.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r + 4. Let o(x) = -x - 3. Let n(f) = -2*l(f) - 3*o(f). Let u be n(7). Suppose 3*v = -i + 14, -u*i + 4*i - 3*v = -29. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -16. What is the units digit of -2 - j\/((-10)\/28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 0 + 6*v - 5 - 2*v. Let g be d(3). Solve 5*p - 20 = -3*y, 3*p + 4*y = 5 + g for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*m - 23513103 = 2*m + 11548886. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 48, 195, 434, 759, 1164, 1643?\n\"Answer: -a**3 + 52*a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3638.93608 rounded to the nearest 100?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2257471, -4514843, -6772215, -9029587, -11286959, -13544331?\nAnswer: -15801703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**16\/a)\/a**(-6\/13))\/((a**5\/a)\/a**16) assuming a is positive.\nAnswer: a**(357\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 30*w**2 - 28*w + 66. Determine d(29).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**2*s**3 - 2273741*l**2*s**2*w - 2*l*s**3 + 27*l*s**2 + 292*l*w + 4*l - s**3 - s*w - 3*w wrt l?\nAnswer: 2*s**3 - 4547482*s**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3402.913ml?\nAnswer: 3.402913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -2. Suppose 2*o + 4 = j, -2*o + 16 = 3*n + 2*n. Suppose 0 = -0*c + n*c - 48. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.5 (b) -0.3 (c) 5 (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1 - 40*g + 40*g + 11*g**2.\nAnswer: 11*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -546, -558, -568, -576?\n\"Answer: i**2 - 15*i - 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*k + 74, -3*f - 2*f + 65 = 5*k. Let x be 3 + -3 + k\/7. Solve -x = -0*u - u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 957*t - 4 = 954*t - 2*w, 25*t - 80 = -5*w for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -43. Let g = d - -14. Let i(z) = z**2 + 2*z + 1. Give i(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47059275?\nAnswer: 3, 5, 389, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.9645 to one dp.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112066 (base 8) to base 13.\nAnswer: -14368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -9462.425 to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1011, -74, 4.\nAnswer: -1011, -74, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -149325?\nAnswer: -149322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -90 - -124. Calculate the remainder when 149 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2093*z + 88707 + 26408 = 0 for z.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.61 + 0.21. Let u = 4 + 21. Suppose -f = 4*f + u. What is the biggest value in f, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41354900 by -827098.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.21 + 0.21. Let y = g - -9. Is -2\/9 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(8\/5))**23\/(h**(-13\/5)*h*h**(2\/5)) assuming h is positive.\nAnswer: h**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3173013 is divided by 33751.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 8*x - 3*o + 34, -2158*x + 2155*x + o + 10 = o - 4*o for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/45*-3*1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (14 - (4 - (-10 - -13 - 2)))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 = -14*v - 18 + 114. Solve 3*j + 13 = 2*z, j = -8*z + 3*z + v for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 554 and 6274.\nAnswer: 1737898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17 or -46?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 + 3 + 2)*(z + 9 - 9) + z - 5*z + 0*z)*(-z - z + 0*z).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 25*u + 158. What is the remainder when h(3) is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 351*p + 1. Let x(z) = -347*z - 2. What is -4*v(y) - 3*x(y)?\nAnswer: -363*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-14)\/(-8))\/(261\/295452) is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x + 20 = 14*x. Let d = 0.5 - 2.5. Which is the nearest to -2? (a) d (b) 0 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*o - 9 = -32, 2*w + 12 = o. Let a = 11 + -7. Let r = -3964\/5 + 793. What is the nearest to a in r, w, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 2*v**2 + 8*v + 50. Let m be b(-7). Let w be ((3 + 5)\/2 + -3)\/m. Is 0 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -17. Let k = 6.09 - 0.09. Let j = k - h. Which is bigger: 0.2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/46, 2\/7, 15 in descending order.\nAnswer: 15, 2\/7, 3\/46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -3*x + 3*d - 2, 4*x - 2*d - 28 = 0. Solve 5*v - 3 - 3 = -4*i, -5*i + x = 5*v for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 7 = -25. Let p(f) = -3 - 7*f + 3 + x. Calculate p(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 7:42 PM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.393 - 0.417. What is the closest to r in 0.5, 1\/3, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4102812 less than 89?\nAnswer: -4102723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**2\/19 - 151348*z\/19 + 2863277138\/19 = 0. Calculate z.\nAnswer: 37837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17604*r + 3190*r + 6314 - 6314 to the form s*r + f and give s.\nAnswer: 20794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 685979949, 685979950, 685979951, 685979952?\n\"Answer: q + 685979948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -89*h**2 + 167*h**2 - 4*h + h**3 + 1 - h**4 - 80*h**2 to x*h + p*h**3 + z*h**2 + m*h**4 + l and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 17 - 15 + 43*l**2 - 57*l**2 - 16*l. What is the tens digit of m(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - p - 13, 3*s - 4*p - 12 + 36 = 0. Let h be (-8)\/(-3) + s\/6. Suppose -h*q + 3*g + 42 = -g, 5*q = -3*g + 40. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/7094 + -134811\/177350. Find the common denominator of (51 - 14202\/297)*3\/(-50) and p.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -4*w + 183542 + 13114, -5*g = 5*w - 245865. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -853 + 1408. Round d to the nearest 10.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - s**2 + 14*s - 24. Give h(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46555369147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.4 - 11.4. Suppose 6*d = d. Suppose 0 = -2*w + 3*a + 8 + 6, d = 3*a + 12. Do f and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 + -80. Let w be -1 + k\/(-186) + (-14)\/84. Which is smaller: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/4)\/(0 - (-12)\/640). Let f = -81 + o. Are -11\/6 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 16 + 21*u - 33*u + u**2 - 3. Determine b(8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13248 divided by 4416.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 204 + -199.46. Let p = 0.022 + -1.342. Let c = s + p. What is c rounded to one dp?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/2 + 196*q - 1985\/2.\nAnswer: (q - 5)*(q + 397)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 246.58, -0.5, -0.1, 44 in ascending order.\nAnswer: -0.5, -0.1, 44, 246.58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.12 and 0.11.\nAnswer: -0.0132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 + 0.1. Let u = a - 0.1. Let p = 1958 - 1954. Put p, u, -2\/21 in ascending order.\nAnswer: u, -2\/21, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0 = 8. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 6*r**2 - 6)*(-3*r + 0 + 0) + (-2*r - r + r)*(0*r**2 - r**2 - r**2).\nAnswer: -14*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 371212447 and 4907.\nAnswer: 2598487129","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 950*w**2 - 67*w - 69*w + 136*w.\nAnswer: 950*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + 9. Let o = 2672 - 13364\/5. What is the second biggest value in 3, o, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1350 - 1370. Let q(x) = -112*x. Let k(v) = 16*v. Give r*k(j) - 3*q(j).\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + i + 2*i)*(-861 - 1159 + 341 - 102 - 139).\nAnswer: -1920*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1547358 by 3.\nAnswer: 515786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6312123312572 and -1.4.\nAnswer: -6312123312573.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/3 - 66\/(-18). Sort -80, 4, z in descending order.\nAnswer: 4, z, -80","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 994 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 5*t**2 + 316*t + 1257. Calculate v(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -5. Suppose -f = -3*p + 10. Suppose -p*k - 119 = -3*x, 0 = 4*x + x - 4*k - 207. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10110 (base 2) to base 7\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-6) + (5 + 3)\/(-8)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**3 - 19546*u**2 + 19546*u**2 + 0*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1836)\/24*-1*((-1288)\/207)\/(-28).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 222185 - 148114. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4216 + -4217. Let b(c) = -c**2 + c. Let f(i) = i**3 - 3*i**2 + 3*i - 16. What is l*f(y) + 3*b(y)?\nAnswer: -y**3 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(4\/7)\/v*v*v)\/(v\/(v*v*v*v*v*v\/v**(9\/7)*v)) assuming v is positive.\nAnswer: v**(51\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559706?\nAnswer: 2, 7, 39979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -22*w**3 - 16*w**2 - 16*w - 16. Let c be (60\/(-36))\/(2\/(-6)). Let f(d) = -7*d**3 - 5*d**2 - 5*d - 5. Give c*k(y) - 16*f(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, a: 2, r: 4, n: 2, h: 2}. What is prob of picking 1 a and 1 n?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -7*y + 21. Solve -4*c - y*x = 18, 4*c + 19 = -4*x + x for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -59, 1 in descending order.\nAnswer: 1, 0, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, 2, -4, -1 in increasing order.\nAnswer: -6, -4, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3264011840.\nAnswer: 2, 5, 10200037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.951443 rounded to 2 dps?\nAnswer: 0.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {a: 2, y: 3, g: 1, t: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - l + 3)*(-15052 + 8*l + 70*l - 79*l + 0*l).\nAnswer: l**2 + 15052*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*u + 1 - 127*u - 108*u - 113*u + 457*u + 9.\nAnswer: -2*u + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and 4639.\nAnswer: 4638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 0. Let x be 1261\/26 - 6\/m. Suppose 4*w + w = x. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m - 4. Let g(h) = h + 1. Determine -5*g(d) - l(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -4*l + 7 + 6, 2*b = -3*l + 14. Which is greater: -81 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3162465 to 3 dps.\nAnswer: -0.316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1530 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**5 - 6*y**5 + 3*y**5 + (-3*y**2 - 2*y**2 + 4*y**2)*(2*y**3 + 1 - 1) + 0*y**5 - y**5 - y**5 - y**4 + y**4 - 2*y**5 + 16*y**5 - 16*y**5 + 30*y**5.\nAnswer: 23*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3*d + 127. Suppose d = 4*w + 5*g, 0*w + 4*w = -3*g + 121. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 14 - 4. Let l be 1 - (w*4)\/4. Round l to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 10 = 6*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 389 = 4*o + 1073, -509 = -3*g + 5*o. Let b = g + -85. Calculate the greatest common factor of 16 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3984426 or -3984427?\nAnswer: -3984427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 2*b = -4, 3*i - 2*b + 7 = 12 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n**3 - 3*n**2 + 6*n - 9. Is r(3) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2166 is divided by 2155?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = 13*j + 4539. Let q = 1033 + j. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 11:56 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 212 divided by -396\nAnswer: -53\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 36 = m - 8*l, -4*l = 5*m - 174. Let o = -12 + 29. What is the greatest common factor of o and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6549 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3 + 23\/9*o**2 - 28\/9*o + 1\/9*o**4 - 8\/9*o**3.\nAnswer: (o - 3)*(o - 2)**2*(o - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 20. Let i = l + 18. Suppose -3*c + 5*j + i = 0, 5*c + 0*j - j - 2 = 0. Solve 3*a + 15 = 3*w, -3*a = -c*a + 3*w + 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*v + 5, 0 = -h - v + 3*v + 1. Let x = -5 + 7. Suppose 3*f - 7 = -4*s - 0*f, -x*f = 2*s - 4. Is h at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 138 - 138. Suppose d = 7*o + 3332 + 30898. Round o to the nearest one hundred.\nAnswer: -4900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 8*v**2 - 2*v + 3. Let p be g(8). Let y = p - -19. What is the remainder when 11 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*q - 13589 + 13633. Which is the third smallest value? (a) -8 (b) -0.01 (c) -2 (d) q (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 - 2*d + 2. Let h(c) = 3 + 4*c**2 + 4 - 2*c - c - 3. Let l(m) = -6*h(m) + 11*p(m). Factor l(n).\nAnswer: -2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 748044798 to the power of 1\/2, to the nearest integer?\nAnswer: 27350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 - -342798765.\nAnswer: 342798749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 69, 74, 79?\n\"Answer: 5*n + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -12*i**5 + 12140*i**4 - 3080504*i**3 + 5104536*i**2 - 1016060*i - 1020100 = 0.\nAnswer: -1\/3, 1, 505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261 = -9*h + 18. Let p = 22 - h. What is the units digit of -9*1*(-10 - p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18)\/90*-55*(-1)\/(-1) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fmffmmmmmfmfmfmmmm. What is prob of picking 4 f?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -632.54 minus -180?\nAnswer: -452.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 407 + -277. What is the highest common factor of 26 and x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27ad (base 14) to base 4\nAnswer: 1231211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.1 (b) -4 (c) -3 (d) -4\/65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**2 + 11*m - 9. Let s(h) = -5*h**2 - 17*h + 14. Let g(k) = -5*s(k) - 8*w(k). Let r be g(2). Solve r = -4*i + 3*i + 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*s - 108*s + 110 = 4*d, 3*s + d - 25 - 5 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 12:48 PM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 11 = -1. Let y(s) = -13 + 5*s**2 + c + 3. Let q(g) = g + 1. Let f(z) = 2. Let i(a) = -f(a) + 2*q(a). Give i(y(n)).\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fmfmffmfmfmf. Give prob of sequence mfmf.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8741*c*y**4 + 2*c*y**3 - 30222*c wrt y.\nAnswer: -34964*c*y**3 + 6*c*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60 + 0 - (-50 - (-62 - -36)).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)*5 + sqrt(55))\/(sqrt(11) + (sqrt(11) + sqrt(11) + -2*sqrt(891) + sqrt(891) - sqrt(11))).\nAnswer: -11*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2866760, 2866755, 2866750, 2866745?\n\"Answer: -5*g + 2866765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2940)\/245*18\/(-8). Let j(q) = q**3 - 6*q**2 + q. Let a be j(6). Suppose 3*z - a = g. What is the biggest value in 3, z, 0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 27*w**2 + w + 17. Let u be h(27). Calculate the greatest common factor of 44 and u.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 10*x**2 + 4*x - 3. Calculate the remainder when k(11) is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/5*(-45)\/(-6). Suppose r + 2 = -4*g. Let u = -2 - g. Solve l + 2*d - u*d = 8, 4*l = d + 17 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9 + 5)*((-9)\/(-2))\/3. Let z be (10 - -2)*(-14)\/h. Is -8 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of r**4\/4 - 72*r. Let d(t) = -5*t - 2. Determine d(j(s)).\nAnswer: -15*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q + 11*q - 3*q - 49 - 23 + 61.\nAnswer: 5*q - 11","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 3. Let k = -1 + -4. Suppose -642*g = -267*g + 1146*g + 4563. Sort w, 5, k, g in descending order.\nAnswer: 5, w, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*(-8)\/(-72)*3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnx when three letters picked without replacement from xxxnxxxxxn.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -172 - -215. Solve -3*k - b = -55 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -4*k**3\/3 - 15*k**2\/2 + 273*k - 336. Differentiate q(x) wrt x.\nAnswer: -8*x - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1008) - sqrt(63))*-3*5)**2.\nAnswer: 510300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*s - 3*z, s - 10 = -2*z + 3 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13\/16 in -1\/2, -3, 3, 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 3:35 AM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(468))\/sqrt(9)*-1*2)\/(3*(sqrt(144) + sqrt(144)*2 - sqrt(144))*1).\nAnswer: sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -0.4, 0.019?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 41. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219143*r**2 - 439438*r**2 + 218357*r**2.\nAnswer: -1938*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.356 - 0.044. Let a = -209 - -208.5. What is the biggest value in a, -1\/4, w, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o + 6*o + 0*o + (-2 + 3 - 2)*(-o + 0*o + 0*o) + 2*o + o - 2*o - o + o + o + (-o - 2*o - o)*(-3 + 3 - 1) + 12 - 12 - 18*o.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - 4\/(-14) - (-1317)\/21. Let y = 84 - g. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 4 = -13*q. Which is the third biggest value? (a) 2 (b) 2\/3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 294 + -227. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 141266 and 712057.\nAnswer: 1909","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -1471 and -1467 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-2\/5)*m)**(4\/7)*(m\/(m**(-2)*m))**(-2\/9))\/((m*m*m**(1\/9)*m*m*m)\/m*m**(-6)*m*m*m**7*m*m**(-2\/9)\/m) assuming m is positive.\nAnswer: m**(-674\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7.15 and 405.105.\nAnswer: 2896.50075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b**2 + 17*b - 77. Let h = 52 - 67. Is 5 a factor of x(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4*r - 3 = 0. Suppose -6*v + r*v - 3 = 0. Let a(o) = o**3 + 7*o**2 - 9*o - 5. Let q be a(-8). Sort v, -5, q in descending order.\nAnswer: q, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k + 0 + 0)*(-2 + 2 + 31)*(-4*k**2 - 4*k + 4*k) + 3*k - 3*k - 2*k**3 in the form r*k**3 + h*k**2 + v*k + a and give r.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -35*l - 2. Let k(o) be the second derivative of -o**4\/3 + 2310*o. Determine i(k(u)).\nAnswer: 140*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 723 - 395. Calculate the highest common factor of q and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14645804 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 44 (b) 54 (c) 61 (d) -0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 35\/64017 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1534*z + 1605*z - 590988 - 810481 = 0. Does 12 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*x**4 - 15*x**4 + 13*x**4)*(44 - 29 - 59).\nAnswer: -748*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -c**4\/3 + 3*c**2 - 2*c - 9. Let z(m) be the first derivative of n(m). What is the first derivative of z(t) wrt t?\nAnswer: -8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2604 and 124.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -136*r - 328*r - 3 + r**2 + 343*r + (4*r + 0*r - 5*r)*(-2*r + 3*r + r) - 2*r**2 + r**2 - r**2.\nAnswer: -3*r**2 - 121*r - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 47*j**2 + j + 1. Let x be s(2). Suppose -a + 3*p + x = p, 5*p - 10 = 0. What are the prime factors of a?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2 - 21*t - 28. Calculate the remainder when 912 is divided by x(19).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) 0.4 (b) 2\/7 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2352838 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: What is the fifth root of 368174734 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**5\/5 + 1584*l**4\/5 + 44547*l**3\/5 + 226764*l**2\/5 - 35628*l - 186480 = 0. What is l?\nAnswer: -20, -7, -2, 2, 555","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -0.3. Let v = -0.13 + 5.13. Which is the smallest value? (a) -1\/8 (b) i (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - (16 - 5) - 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19946*r**3 + 4162*r - 2.\nAnswer: 119676*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 0 - 2\/7*n**2 - 4*n = 0?\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 2)*(-2*d - 2 + 2) + (2 + 1 - 4)*(3*d + 2*d - 2*d).\nAnswer: -11*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 9748 + 1172. What is i rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6640, 6638, 6636, 6634?\n\"Answer: -2*q + 6642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3201038 (base 11) in base 12?\nAnswer: 1a7a9a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 87 = -3*z, 6*c + 81 = 4*z + 3*c. Suppose 3*h - 108 = -h. Suppose -2*r + h = 1. Calculate the remainder when z is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1082 = -100*h + 8782. What is the remainder when h is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 7:55 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 8 = -v, 12 = 9*v - 8*v - 5*b for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -3 + 2 - -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.07401 times -0.4\nAnswer: -0.029604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.44 + 8. Let r = 0.43999923 + w. Round r to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of 5*f**8\/168 - f**4\/24 - f**2 - 11. Let b(a) be the second derivative of h(a). What is the second derivative of b(t) wrt t?\nAnswer: 200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 + 310*u**2 - 745*u - 8260.\nAnswer: -5*(u - 59)*(u - 7)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19990751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 10 = -4*g. Suppose -2*w + 5*s - 9 = 0, -3*w = -0*w - 5*s + 1. Suppose -g*x + w*x = 45. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 6 = -716*o - 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1031320010 - 310?\nAnswer: -1031320320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4249, -4216, -4187, -4162?\nAnswer: -4141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 66773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*x - 540*x**3 + 14*x - 35*x.\nAnswer: -540*x**3 - 37*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 5, 9\/2, 1, 3 in descending order.\nAnswer: 5, 9\/2, 3, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16.39, -3\/7, -0.4, -0.3 in descending order.\nAnswer: -0.3, -0.4, -3\/7, -16.39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7383104\/112 + 3*5\/105*3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 75\/(-12)) + -6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a micrometer in nanometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6943*n**3 + n*x**3 - x**3 - 6*x + 955 wrt n?\nAnswer: 20829*n**2 + x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-141*g + 16*g + 8*g)*(2*g**3 - 4*g**3 - 2*g**3 + (-1 + 1 + 2*g**2)*(-4 + 4 - 2*g)).\nAnswer: 936*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 31\/62 - (-356)\/8?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) -0.14 (b) 0 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*f = -3*v - 15, 0 = -4*v - 2*f - 10. Which is bigger: -3\/26 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1662500 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - o = -10. Let m = 1.1 - 1.3. Sort m, 5, o.\nAnswer: m, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 137 - 125 = 3*n, n - 12 = -3*b. Let r(a) = a**3 - a**2 + 5*a - 4. Give r(b).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -5. Let n(h) = 2*h**2 + 2*h - 6. Calculate the least common multiple of n(-4) and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38771691 is divided by 12923897.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 412 + j**4 - 207 - 45*j**3 - 206 in the form i*j**4 + r*j + a*j**3 + s*j**2 + g and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5317434 and 216?\nAnswer: 21269736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -16. Let o = -88 + 28. Let h = o - -778\/13. Which is the third smallest value? (a) h (b) 0.2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.3 (b) 0 (c) 1\/5 (d) -10\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 510039381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4 + 10 = 0. Let s = 29 - n. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.8? (a) 2 (b) -0.4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 4) to base 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23.0331 - 0.6411. What is x rounded to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112.4 rounded to zero dps?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -39*y**3 - 1007*y**2 + 189*y - 129. Give h(-26).\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5*q = s - 15, 0 = 4*s - q + 21. Let z = 7 - 7. Let w = 0.1 - z. Sort s, w, 0.2.\nAnswer: s, w, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 9875.014 hours?\nAnswer: 592500.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -4*l**3 + 8*l**2 - 2*l. Let b(p) be the first derivative of -3*p**4\/4 + 5*p**3\/3 - p**2\/2 - 20. Determine 8*b(y) - 5*s(y).\nAnswer: -4*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 10:53 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*f + 32045 + 28211. Let j = -430401\/200 - f. Is j bigger than 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*t + 259 - 4. Is 78 a factor of (4\/5)\/2*t - -805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4 - h - 2*h**3 + 2*h**2 + 0*h + 2*h**2. Suppose 3*k + k + 16 = 0. Let x be i(k). Round x to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w + 0*w + 0*w + (0 - 2 + 1)*(-3*w + w + 4*w) - 4*w - 272 + 140 + 98.\nAnswer: -5*w - 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ox when two letters picked without replacement from {o: 4, x: 1, k: 5}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.2, 0.4, -2\/15, -35\/8 in descending order.\nAnswer: 2, 0.4, -2\/15, -0.2, -35\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247410 + 19435 = 26*t - 10367. What is the thousands digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 67*l + 1. Let c(o) = o**2 + 3*o - 3. Let y be c(-3). Let z be u(y). Round z to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -169007*b*l**2 + 40*b*l - 5430*l wrt l.\nAnswer: -338014*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6147 and 274626?\nAnswer: 187569558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**2 + 75*a + 3*a**3 + 1 + 15*a**4 - 3*a**3 - 38*a - 38*a to the form r*a**2 + i*a + y*a**3 + p*a**4 + t and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 93, 188, 283?\n\"Answer: 95*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(2\/11)*u**(1\/15)*u assuming u is positive.\nAnswer: u**(311\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n + 1. Let b(w) = -2*w. Let h(j) = 9*b(j) + 4*z(j). Calculate the remainder when 158 is divided by h(-6).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xxxexxeexeeeeeex.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 167266, 15.\nAnswer: 1, 5, 15, 167266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 26946 in decreasing order.\nAnswer: 26946, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7061 rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 62\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -u - 73, 5*t - u - 80 = -2*u. Is t less than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - y - 8*y)*(y + 2*y**3 - y + 0*y**3 + y**3 + 0*y**3 + (y + 0*y + 0*y)*(2 - 2 + y**2) - y**3 - 2*y**3 + 5*y**3).\nAnswer: -42*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2 + 3*y - 3. Let k(v) = -18*v + 71. Let x(m) = 10*m - 36. Let w(u) = -3*k(u) - 5*x(u). Let f be w(9). Calculate i(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1274 + -2467. Is -1192 less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -5 + m - 10*m + 4*m + 6*m. Determine b(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27008 and 12871?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of k**5\/20 + k**4\/6 + k**2 - 13*k. Suppose -f - f = -4. Is i(f) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2068\/(-564) - (43 - 47).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*f**3*n*v**2 + 2*f**3*n*v - 7*f**2*n*v + 10*f**2*n + 248*f - 114*n*v**2 - n wrt v.\nAnswer: -42*f**3*n - 228*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006131 rounded to six decimal places?\nAnswer: -0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 23510\/3599?\nAnswer: 23510\/3599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**4\/12 + a**3\/6 - 33*a**2. Determine i(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**3 + 6627 - 2*o**2 + 6582 - 13127 to w*o + s*o**2 + d + x*o**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2 - 3*u + 3 - 4 + u**2. Suppose -2*j + 6*j = 20. Let s be a(j). What is the highest common divisor of s and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 361?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqmq. Give prob of picking 2 q.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 155, -2, 9 in decreasing order.\nAnswer: 155, 9, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 4*l - 206, 3*c + 3*l - 37 = 170. List the prime factors of c.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20258832 divided by 2532354.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 10 = -4. Suppose 3*x - 2 = -4*o, 2*x = -3*x - 3*o + 7. Let d = x + -1. Put 5, y, d in descending order.\nAnswer: 5, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -16*q**3 + 6*q**2 + 35*q + 109. Let n be l(-3). Calculate the greatest common divisor of 370 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.13546l in millilitres?\nAnswer: 69135.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.9602 to 1 dp.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + s + 4 + 2*s - 2*s to f*s + r and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1425 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(378\/(-28)) - (-14)\/6. Suppose 0 = -h - 2 + 11. Let u = -5 + h. Solve -6*q + g*q + 7 = t, -2*q = u*t + 12 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 45 - 49*c**3 + 18 - 16*c**3 - 11 wrt c.\nAnswer: -195*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-11*48\/264)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d - 98. What is n(-26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -16*a**2 - 271*a - 1084. Let r(z) = -15*z**2 - 271*z - 909. Let h(n) = 5*d(n) - 6*r(n). Determine h(-27).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -345577\/21 - -16461. Let w = a - 14\/3. Let -4\/7*l**3 - 12\/7*l**2 + w*l**5 + 2\/7*l + 6\/7 + 6\/7*l**4 = 0. Calculate l.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2001 - -2005. Which is the second smallest value? (a) v (b) 1\/10 (c) 5 (d) -59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a tonne in kilograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*w - 48, 3*f - 40 - 41 = -3*w. Solve 10*c = w*c - 22 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 7 + 1\/(-1). Let j be ((-12)\/w - -2)*0. Suppose 2*g + 8*b = 3*b + 121, j = -2*g + 2*b + 142. Is 17 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 67, 91, 123, 163?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z + 3. Let x be i(-3). Let k be 6*(1 + x\/9). Suppose d - 192999 = k*d - n, 5 = -5*n. Round d to the nearest 10000.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -199\/22 - -105\/11. Let z(q) be the first derivative of 1\/3*q**3 + q - 4 - k*q**2. Calculate z(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3982, -3986, -3988, -3988?\n\"Answer: o**2 - 7*o - 3976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, k: 1, q: 2}. What is prob of picking 1 z and 1 q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20370.\nAnswer: 2, 3, 5, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*a - 12*a + 10 - 5*a + 22*a in the form h*a + i and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -323*t**3 + 9*t**2 - 9*t**2 + 155*t**3 + 164*t**3.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, s: 5, u: 4, t: 3, d: 2, c: 1}. What is prob of sequence dtus?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.06, -2\/3, 16, -37, 10?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z + 6. Let i(d) = d**3 - 7*d**2 + 7*d - 1. Let g be i(6). Suppose -3*q - g = q - 5*v, -2*v - 16 = 2*q. What is the units digit of x(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 + 0. Let o = -137412 + 137411.977. Which is the second smallest value? (a) o (b) -0.1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 612 and 3309804.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 573311.4 years to months.\nAnswer: 6879736.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 575359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 4*m - 204. Let w be 9\/((-36)\/(-16)) + -5 + 1172. Let j = m + w. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 - -45. Calculate the remainder when 59 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 5*h**2 + 4. Let v be p(5). Let f(i) = -i**2 + 4*i. Let r(x) = -x**2 + 5*x. Give v*r(j) - 5*f(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (3\/(-6))\/(-1). Let j(s) = s**3 - 4*s**2 + 4*s + 5. Let o be j(4). Let t be (-7)\/12*(-6)\/o. What is the closest to z in 1\/8, -2\/5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1634.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8776 + 8546. Which is the smallest value? (a) 0.5 (b) t (c) -1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, g: 4, y: 6, c: 3, a: 3, u: 2}. What is prob of sequence mg?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-15 - (-649)\/44) + 2*410\/16 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c + 5. Let x(w) be the second derivative of w**3\/6 - 3*w + 76. Give r(z) + 2*x(z).\nAnswer: -z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2775525084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 2:24 PM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l - 2. Let h(b) = b - 1. Calculate -a(y) + 4*h(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8967606*n**3 + 13635747.\nAnswer: -26902818*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*y**5 - 11*y**3 - 10*y**5 + y**5 + (y**2 + 2*y**2 - 2*y**2)*(2*y**3 - 3*y**3 - 40*y**3).\nAnswer: -40*y**5 - 11*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21\/(-6)*(4 + -2). Let z = l - -12. Sort -5, 2, z in descending order.\nAnswer: z, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 2, -4, -1, 113?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 49*d - 65. Calculate h(2).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -17. Let d be 7 + -2 + (k - -2). Is 11 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14\/9 - -1\/18. Which is the third smallest value? (a) -6 (b) 1\/5 (c) h (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 2\/3*9 + -1. Which is the closest to -2\/3? (a) 5\/6 (b) h (c) 4 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 - 36482*g + 1964196.\nAnswer: 2*(g - 18187)*(g - 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -2679560.92 to the nearest one hundred.\nAnswer: -2679600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 43*n**2. Let y(p) = -6*p**2. Calculate y(g(l)).\nAnswer: -11094*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -47 + (6 + -47 - -50)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(704))**2 + 5.\nAnswer: 709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-36 + 5 - 4)*(-1813*f + 3 + 3 + 883*f + 894*f) to the form u + m*f and give m.\nAnswer: 1260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1125.5 + -1126. What is the third smallest value in -0.14, x, 64, -4?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120287*i = 120314*i + 108 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sglg when four letters picked without replacement from {k: 1, l: 1, s: 4, g: 2, p: 3}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1957 + -1946. Solve 0 = -8*t + 29 + v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -8*v + 13. Let q be z(2). Which is the smallest value? (a) -4 (b) -1\/8 (c) 0.4 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*((sqrt(2448) + 2*sqrt(2448)*-1 - 3*(-1 + sqrt(2448))) + 6*(1 + sqrt(2448) + -5)) + 3))**2.\nAnswer: -31104*sqrt(17) + 364176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -4*o + 18, i = -172*o + 173*o for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -s + 15210, -3042 = -0*y + y + s. Let n = -2006 - y. Is (-1)\/(-4) + n\/16 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 5:05 AM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 30558753 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53 + 9*b + 65 - 113 - 210*b to w + m*b and give m.\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 2)*(-4 + 2 + 1)*((232*s + 37*s + s)*(1 + 2 + 5) + s - 3 + 3) to the form r*s + g and give r.\nAnswer: 2161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.3 + 5.3. Put -2\/5, -17\/5, c in ascending order.\nAnswer: -17\/5, -2\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*((-2)\/(-18))\/((-18)\/54)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y**3 - 35*y**3 + 27*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1888 divided by 712\nAnswer: 236\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -3, -2777, 0.2, 3, -2\/863, -4?\nAnswer: 2","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: List the prime factors of 1011331.\nAnswer: 1011331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-490)\/15)\/(-7)*150\/(-100)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 2*t**2 + 2*t - 13. Give u(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c + 15*c - 12*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 36*t - 20. Let d(w) = -7*w + 4. Let b(n) = -14*d(n) - 3*m(n). Calculate b(4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3905*t + 78088. Determine a(20).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 229*q + 1311901 - 4117259 - 3923578. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*w + 900 = -65*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (48 + -24)) + 45.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 296\/9*21171\/112912\nAnswer: 37\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 9*w**2. Suppose -4*x + 123 = -b, 0 = 2*x - b - 66 + 7. What is the remainder when x is divided by a(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rkt when three letters picked without replacement from ktgrrktgttr?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6213493 take away -0.9529?\nAnswer: -6213492.0471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1*3\/6)\/(1\/(-2)). Which is the closest to 0.2? (a) 14 (b) v (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkyygkykygkkk. What is prob of picking 1 g and 1 y?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 9*r + 444 = -4*v, -2*v - 268 = 3*r. Let x = 82 + r. Let j be ((-696)\/60)\/(((-16)\/x)\/(-4)). Solve 9*n - s = 4*n + j, -2*s = 3*n - 7 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40080 is divided by 9803?\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1050 + -431. What are the prime factors of p?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4187, -2, -0.194, 0.2.\nAnswer: -4187, -2, -0.194, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3 = 11. Let u be (-36)\/(2\/(-1))*k. Let j(y) = -y**2 + y + 24. Let i be j(0). Calculate the greatest common factor of u and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**0*c*c)\/c*c)\/c)\/(((c**(2\/7)\/c)\/c*c)\/c*c) assuming c is positive.\nAnswer: c**(12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*m**3 + 5*m**3 + m**2 + m**3 + (2*m**2 + 2*m**2 - 19*m**2)*(-5*m + 2*m + 4*m))*(0 + 0 + 3) to r*m**3 + g*m**2 + c*m + q and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 15, j: 5}. Give prob of sequence jyj.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v + 19. Let r be 14\/(-1) + 2 - (5 - 4). Let d = r + 20. Let l be b(d). Solve 4*j = l + 7 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**2 + 11*z. Give i(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.5 less than or equal to -0.31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -369124 divided by 1\nAnswer: -369124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 531 a factor of 2219039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26385 + 26206. Which is greater: -190 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -1. Let z(u) = 10*u - 3. Let x(o) = -2*o**2 + 27*o + 204. Let b be x(19). What is b*w(g) + z(g)?\nAnswer: 10*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 541 and 153194970.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 224 - 378. Let o be (1 - n) + (-10)\/(-15)*-3. Suppose u + 0*v - 5*v = o, -5 = -5*v. List the prime factors of u.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*d + (-3*d - 4*d + 5*d)*(2 - 1 + 1) + 15*d + 10*d - 12*d)*(365*d**2 + 84*d**4 - 365*d**2).\nAnswer: 924*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*j - 835391 = 579217. What are the prime factors of j?\nAnswer: 13, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.6 (b) 1\/9 (c) -10150\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 32, -68, -238, -478, -788?\n\"Answer: -35*u**2 + 5*u + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/14446?\nAnswer: 1\/14446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13418457 divided by -24531?\nAnswer: -547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*a**4*l - 73*a**4 + 11*a**2*l - 4*a**2 wrt a?\nAnswer: 96*a*l - 1752*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (17 + 8 + -10).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {t: 8, k: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4349, -8701, -13051, -17399?\n\"Answer: n**2 - 4355*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -11*w + 190. Let g = 24439 - 24422. Determine r(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3995*v + 4617*v - 1493*v as j*v + t and give j.\nAnswer: 7119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 1 - 8*o**3 + 4*o**3 - 7*o**2 + 3*o**2 + 4 + 2*o**4. Let x(c) = -3*c**4 + 7*c**3 + 7*c**2 - 9. Let w(s) = 7*k(s) + 4*x(s). Differentiate w(r) wrt r.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 26110920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 4, -2\/15, -2, 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-43)\/(1935\/3060))\/((-4)\/3)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/((-12)\/(-32)))\/((10388\/147)\/53).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**2 + 0*g**2 + 7*g**4 - 2*g**3 + 0*g**2 + g + 0*g**2 - 1 + 5*g to t*g**4 + c*g + s*g**2 + p + i*g**3 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c**3 + 2*c**2 + 4*c - 5. Let u be s(4). Let f = 209 + u. Suppose -p - 19 = -f. Is p a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 4*c**3\/3 + c**2 - c - 4. Let m be y(-2). Is 12 > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 33\/10, 2\/617849, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8792 minus 702.9013?\nAnswer: -9494.9013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7556, -15116, -22676, -30236?\n\"Answer: -7560*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -216677894, -216677893, -216677892, -216677891, -216677890, -216677889?\n\"Answer: j - 216677895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -605719012, -605719011, -605719010, -605719009, -605719008, -605719007?\n\"Answer: f - 605719013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-75) + 17\/(-15). Let d be c*(4 + 3 + 0). Let i = 12 + -20. Which is bigger: i or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -22*z**2\/15 + 2208524*z\/15 = 0.\nAnswer: 0, 1104262\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovvvovvohlovvvovol. Give prob of picking 1 v and 1 o.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 134*n + 93. Let w(r) = -69*r - 41. Calculate -6*h(g) - 13*w(g).\nAnswer: 93*g - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 5*g**2 + 7*g + 6. Let u be k(6). Suppose -4*n - u = 0, -5 = 5*o + n + 4*n. Which is the second biggest value? (a) 3 (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -4, -878 in increasing order.\nAnswer: -878, -24, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -1552425022?\nAnswer: -1552425020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + 6. Suppose -37*h = -33*h - n. Solve h*p + p = -12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 8:24 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 128*f*m**3 - 114*f*m**2 + 109*m**3 - 60*m wrt f.\nAnswer: 128*m**3 - 114*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 17 + 4213*q**3 - 8.\nAnswer: 4213*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -12*d**2 - 177*d + 42. Let j be y(-13). Calculate the greatest common factor of 483 and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -850*g - 23*g**5 + 850*g + (2*g**3 + 4*g**3 - 4*g**3)*(2*g**2 + g**2 - 2*g**2) + 5*g**5 + 10*g**5 - 6*g**5.\nAnswer: -12*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*(-24)\/1458*3\/2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-114)\/6*(-1 + 2). Let x be 17\/5 - (-76)\/q. What is the closest to -2\/3 in -0.03, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2724 and 498940098.\nAnswer: 1362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 636 and 10358214.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 24 = -12. Let g = p + -11. Let s(i) = i**3 - 34*i**2 - 103*i - 291. Let d be s(37). What is the second smallest value in 54, d, g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 27\/7, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2*c + 2)*(-2*c**2 + 3*c**2 + 0*c**2) - 7*c**2 + 7*c**2 - 37*c**3 in the form n*c**2 + z*c + g*c**3 + d and give g.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3756293 a multiple of 482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48875529.\nAnswer: 3, 23, 151, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 7. What is the units digit of (-55)\/(-10) - z\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 304 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5840)\/2628*((3\/(-2))\/(-3))\/(31\/(-2232))?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 0. Solve -m = t + 2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3920 = 5*r - 2*j, 15*r - 3*j + 801 = 16*r. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -2. Suppose 2*o = -3*o + 5. Put -4, r, o in descending order.\nAnswer: o, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2. Let w(f) be the second derivative of 0*f**2 + 7*f + 1\/12*f**4 + 0 + 0*f**3. Determine w(h(p)).\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*f + 98 - 98 + (3 + 0 - 1)*(-2*f + 7*f - 3*f) + f - f - f)*(-3*f**2 + 2*f**2 - f**2) to the form z*f + u*f**2 + c*f**3 + o and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + -3 - -3) + (6 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirty-seven fifths of a gram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 544 and 2313428?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, x: 2, i: 3, q: 2, u: 1, p: 4}. Give prob of sequence xupq.\nAnswer: 1\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3706 and 14715?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 2, 2503, -44 in descending order.\nAnswer: 2503, 5, 2, -3, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f*i**2*u**2 + f*u**3 - 2*f*u**2 - 72*f - i**2*u**3 - 45*i**2*u + 5*i*u**3 - 154*u**3 wrt u.\nAnswer: 6*f - 6*i**2 + 30*i - 924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25360469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.7, 1\/3, -0.02, 17174, -2?\nAnswer: 17174","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 2.13, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -61 - -33. Let p = l - -72. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*q + 173 = -359 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/2 + 1797*i\/2.\nAnswer: i*(i + 1797)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r + 8*r = 90. Which is greater: r or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -8. Suppose b + 4*k - 6 = 0, 3*k - 1 = 2*k. Suppose -43 = -g + 4*m, -b*g + 5*g = -4*m + 113. What is the remainder when g is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 429666375 divided by -8243\nAnswer: -52125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2847*r + 14. Let u be x(5). Suppose -36343 = -34*s + u. List the prime factors of s.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 113008080 and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**6\/60 + 2*z**4\/3 - 3*z**3\/2 + 25*z**2 + 3. Differentiate m(x) with respect to x.\nAnswer: -6*x**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*f - 6*f + 10*f as m*f + d and give m.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1418455 is divided by 237?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.5 (b) 2 (c) -1409279 (d) -0.4 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + -29148316837273.\nAnswer: -29148316837268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91701 is divided by 64.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -5. Let p = z - 12. Let o = -3 - p. Solve -4*v = 3*r + o + 17, -2*r = 4*v + 18 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276 = -6*d + 3*d. Let o = -65 - d. What is the remainder when 53 is divided by o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9511621 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 455 + -315. Let v be 2\/6 + 76\/6. Suppose 9*s + h = v*s. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(3\/11)\/k**(6\/5))\/(k\/k**(-9)*k\/(k\/k**(14\/9))))**(4\/21) assuming k is positive.\nAnswer: k**(-24716\/10395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 4*u**5 - 5*u**4 + u**2 + 5. Let a(m) = m**4 - 1. Let d(l) = -5*a(l) - r(l). What is the third derivative of d(k) wrt k?\nAnswer: -240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 * -34.45\nAnswer: -551.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2173\/5 (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lltt when four letters picked without replacement from tlwtwtltt.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2729 smaller than 2750?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72*h + 14*h - 23*h)*(-h**2 - 2*h**2 + 5*h**2).\nAnswer: 126*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1162933, 1162953, 1162977, 1163005, 1163037, 1163073, 1163113?\n\"Answer: 2*q**2 + 14*q + 1162917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 35661584 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: What is the difference between -2037489.55 and 4.95?\nAnswer: 2037494.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1514307)\/(-3)*1\/27. Suppose 3*r - 8206 = 47873. Let v = r - g. What is the common denominator of -38 and v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cecccccececcce. What is prob of sequence eecc?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*f - 8*f = 0. Suppose 3*r + s - 9 = f, 5*s = -2*r - 3*r + 5. Suppose 0 = -6*j + 5*j. Solve j = -z - r*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -643.849 rounded to the nearest 10?\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*s**2 - 6*s**2 + 5*s**2)*(-4 + 1 + 4)*(2189 + 50*s - 148*s - 2189) as h*s**3 + a + x*s**2 + p*s and give h.\nAnswer: 490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -5\/3 (c) 98\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -u**6\/15 + 14*u**5\/25 - 11*u**4\/10 + 2*u**3\/3 - 66. Factor g(q).\nAnswer: -2*q**2*(q - 5)*(q - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -5*i**2 - 38*i + 3. Determine f(-6).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 2:03 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 - 3*g + 6. Let h(p) = 3*p**2 - 7*p + 13. Suppose -15*d = -17*d + 26. Let l(c) = d*v(c) - 6*h(c). Find the second derivative of l(j) wrt j.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + 234\/15)\/(4\/100) a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 282, 278, 262, 228, 170?\n\"Answer: -l**3 + 3*l + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*p + 40 = 47*p. Calculate the remainder when 43 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d + d + 0*d + d as y + g*d and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*p - 1435 = 1166 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -7*d + 16. List the prime factors of w(-5).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -1115*v - 137. Give s(1).\nAnswer: -1252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 599088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7461, 7465, 7469, 7473, 7477?\n\"Answer: 4*q + 7457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5485*u**3 + 3351*u**2 + 121718*u + 7 wrt u.\nAnswer: -32910*u + 6702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of n**6\/120 + n**5\/60 - n**4\/24 - n**3\/2 - 11*n**2\/2 + 9*n. Let r(a) be the first derivative of l(a). What is r(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35574 = -589*f + 148*f + 78*f for f.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 809014990.\nAnswer: 2, 5, 7, 37, 44623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -8346*l**2 + 429*l. Let j(f) = 39*f**2 - 2*f. Give -2*c(b) - 429*j(b).\nAnswer: -39*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3317.62 - 15.\nAnswer: -3332.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44024724 by -4.\nAnswer: -11006181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 17.4 (b) 2 (c) -4 (d) -1\/15 (e) -0.04 (f) 20\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -57 - ((-13 - 79) + 45)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1230 + -22034?\nAnswer: -23314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, q: 7}. What is prob of picking 1 q and 1 y?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qll when three letters picked without replacement from {l: 3, q: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4 + 18 = 0. Find the second derivative of -283*z + 7*z + y*z**2 + 66*z wrt z.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 854 and 66441688?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2 + 4*g - 1. Let p(j) = 3*j - 3*j + 1 - j**2 - 2*j. Let i = -4902 + 4905. Give i*s(o) + 5*p(o).\nAnswer: o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.20080554 rounded to 2 decimal places?\nAnswer: -24.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 192?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 - 311*r**3 - 10 + 330*r**3 + 6*r**2 - 10.\nAnswer: 19*r**3 + 4*r**2 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**3 + 6*i**2 + 12*i - 1. Is k(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 i, and 1 j when four letters picked without replacement from {i: 6, e: 10, j: 1}?\nAnswer: 27\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -12*a - 5. Let w = 40 - 20. Let f = 11 - w. Is l(f) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/3)\/(9\/(-6)). Let n(d) = -6*d**2 + d**3 - 1 + 3 + 1 + 4*d. Let j be n(5). What is the nearest to j in i, 0.4, 3\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*g + 10*g - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 26 and -1\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1, 227324, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18*h*z**2 + 34*h*z - 6421*z**2 wrt h?\nAnswer: 18*z**2 + 34*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16389971*s*u - 31400091*s wrt u?\nAnswer: -16389971*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 10*s**2 + 4*s + 1. Suppose -2*a = 4*b - 10, 0 = -2*a - b - b. Let o be x(a). Suppose q - o = -q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2*sqrt(19) - (3 + 2*sqrt(19)) - -3*(sqrt(19) + sqrt(38)\/sqrt(2))*-4*3)**2.\nAnswer: 432*sqrt(19) + 98505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 2*c**2 - 2*c**5)*(2 - 3 + 0) + (-2*c**2 + 0*c**2 + 0*c**2)*(c**3 + 2*c**3 - 2*c**3) - 4*c**5 + c**5 + 0*c**5.\nAnswer: -3*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 5 - -10 - (-3 - -6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/110 and 7\/30547.\nAnswer: 305470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53535 is divided by 821.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2770317*d**4 - 21*d**2 + 104052026*d wrt d?\nAnswer: -33243804*d**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*x + 30 = 0. Suppose x*p - 320 = p. Suppose 20 = -5*h, -952*h = -4*s - 948*h + 68. What is the remainder when p is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 0)\/(-2 - -1). Suppose 2*t - 4*j - 74 = -v*t, 2 = j. Suppose 0*x - t = -x. Calculate the remainder when x is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 - (-88 - -24) - -6.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 901 - 896. Let f(g) = -4*g**3 - 2*g**2 - 4*g - 2. Let d(x) = -8*x**3 - 5*x**2 - 9*x - 5. Give t*f(z) - 2*d(z).\nAnswer: -4*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 504952 divided by -1016\nAnswer: -497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m + 1. Let v(f) = 5*f**2 - 11*f - 3. Let p(y) = 3*n(y) + v(y). Let j(s) = -12*s**2. Calculate p(j(q)).\nAnswer: 720*q**4 - 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*w + 60 + 84 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 605*i**3 + 113.\nAnswer: 1815*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(3) - (5 + sqrt(243))).\nAnswer: -8*sqrt(3) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 5. Suppose -m - 5*f = -2*f - 7, 0 = -3*m - r*f + 9. What is the derivative of m - 2*i - 1 - 1 wrt i?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10300020223 - 2001?\nAnswer: -10300022230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9957460 and 24?\nAnswer: 59744760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/45 - (-3)\/15.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 344355 and 605.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) -1\/3 (c) 0.8 (d) -4.25 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10215421 to the nearest integer?\nAnswer: 3196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 575 + -1649\/3. What is the common denominator of n and -21\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/12 + (-85)\/(-20). Suppose -t*h = h. Solve h*n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174578657.\nAnswer: 11, 211, 75217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 14 - -2750575.34\nAnswer: 2750589.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4242917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 5*g + 20 - 2*g.\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 0, 0.16, -1038?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/18*6\/((-4)\/2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in -3, -0.5, -2, -0.3, 0.24?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c**2 - c**2 - 2*c**2)*(29*c**2 + 2249 - 2249) as a*c**2 + r + w*c + g*c**4 + i*c**3 and give g.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 41*q - 1788. Let d(r) = 2*r**2. What is d(x(c))?\nAnswer: 3362*c**2 - 293232*c + 6393888","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30207557?\nAnswer: 271, 111467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 6*z**2 - 2*z + 6. Let u(w) = 7*w**2 - 2*w + 7. Calculate 6*d(m) - 5*u(m).\nAnswer: m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**6\/105 + 3*f**5\/35 + f**4\/42 - 8*f**3\/7 + 16*f**2\/7 + 106*f. Factor w(k).\nAnswer: 2*(k - 1)**2*(k + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -774651546 divided by -3862?\nAnswer: 200583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.14 - 5.14. Which is the nearest to 1.8? (a) -0.5 (b) j (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 82 - 77. Solve 18 = g*q - q - 5*x, 3*q - 4*x - 14 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20160*a**3*x**3 - 2*a**3 + 10*a**2*x**3 - 145*x**3 wrt a?\nAnswer: 120960*x**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1371, 0.9 in decreasing order.\nAnswer: 1371, 0.9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 30*m - 208. Let n be l(-19). What is the fourth smallest value in n, -4, -16, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 250685*d**4 - 74*d**2 + 3*d - 201070205 with respect to d.\nAnswer: 1002740*d**3 - 148*d + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27491203 or -27491204?\nAnswer: -27491203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/5*(-5)\/2. Let i(s) be the second derivative of -3\/2*s**2 + h*s**3 - s + 0. What is the first derivative of i(o) wrt o?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 10:43 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*m + 9920 = 20*m. Which is greater: -158 or m?\nAnswer: -158","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23183791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.13 - 0.13. Is 3 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -138315298 - -3?\nAnswer: -138315295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(72) - ((sqrt(72) - (sqrt(72)*1 + -1) - sqrt(72)) + sqrt(72))) + 5)**2 - (3 + -1*(1 + sqrt(32))*-5).\nAnswer: 28*sqrt(2) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nyl when three letters picked without replacement from {l: 1, n: 5, y: 7}?\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.19 - 1.19. Let v = 273.6 + -268.6. What is the third biggest value in 0.4, z, v, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-280)\/252*((-53)\/5 - 11)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4130 divide 481555929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1 + 5*(2*sqrt(68)*-1 - (-2 + sqrt(68) + -1 + sqrt(68)))*-1*6)**2.\nAnswer: -43200*sqrt(17) + 987300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9688*n**6 - n**2 + 13*n + 69 wrt n.\nAnswer: -1162560*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -17, 1 in descending order.\nAnswer: 12, 1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3055 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 91600.42 years in decades?\nAnswer: 9160.042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -1\/2 (b) 24\/25 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-6))\/((-1)\/(-9)). Let a be 25 - (10 + 17 - -9). Put a, 5, 2, y in ascending order.\nAnswer: a, 2, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 35*u**2 + 6 - 37*u**2 - 2*u - u - 6*u. Let m be h(-5). What are the prime factors of 213\/4*(1\/3 + m)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-2)\/10)\/(45\/(-75)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.02 times 136880?\nAnswer: -139617.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j**5 + 2*j**2 + 5*j. Let g(b) = -21*b**5 + 15*b**2 + 36*b. Let q(s) = 2*g(s) - 15*m(s). What is the second derivative of q(o) wrt o?\nAnswer: 60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 divided by 63359\nAnswer: -46\/63359","meta":{"dup_signals":{},"source":"arithmetic__div_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: Simplify ((n\/(n**6\/n))\/n**(-1))**39 assuming n is positive.\nAnswer: n**(-117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-39)\/135 + 2\/5. Let a be 188*(-240)\/16920 - 1\/(12\/(-26)). What is the second smallest value in -0.057, a, d?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 8474164\/15 and 564944 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474640001?\nAnswer: 11, 409, 105499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 159256255?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -878 = -11*h + 108275. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-36)\/(-10) + 6\/15. Let z be 0*(-14)\/154*1\/(-2). Solve 2*t - p + 0 = z for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssksksskkss. What is prob of sequence ssk?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14316, -14317, -14318?\n\"Answer: -b - 14315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b**2 + b**2 + 0*b**2)*(1 + 26*b + 11 - 7) in the form n*b**3 + i*b**2 + h + s*b and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**2*q**(-1\/6))\/(((q*q**2)\/q)\/((q\/q**(-4\/3))\/q)))**(-3\/19) assuming q is positive.\nAnswer: q**(-7\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = 8*p - 168. Let u = p - -225\/4. Which is the closest to 1\/2? (a) -0.1 (b) u (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 50 = 3*q, -s = 2*s - 3*q + 72. Let a = -12 - s. Let x(t) = t + 16. List the prime factors of x(a).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55 - 35. Let s(g) = -g + 14. Let m be s(9). Calculate the highest common factor of c and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 241 + 159 = 0. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 140 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 2.5. Let p = 9 + -11.5. Let g = p + r. Which is the third biggest value? (a) g (b) -4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of s**4\/12 - 4*s**2. Let w be 2\/(-8) - 18\/(-8). Let q(a) = 5*a**w + 0*a**2 - 3*a**2. What is q(j(u))?\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, l: 3}. Give prob of picking 2 q and 2 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 738?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 6*r + 75. Let o be g(-13). Suppose -2*a - 2 - 2 = -5*k, 0 = -2*a - 5*k + 16. Put -24, o, a in increasing order.\nAnswer: -24, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 11*q**2 - 11*q - 17. Let x(k) = k - 8. Let n be x(-2). Let w be u(n). Let r(i) = i**2 + 5*i. Calculate r(w).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.79866 + -0.20114. Let i = 2 - 4. Let d = i - w. What is d rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 523986 divided by 2?\nAnswer: 261993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -11*b + 2. Let j be a(1). Let z(v) = v + 7. Let i be z(j). What is the common denominator of 20\/19 and 3199\/(-140) - i\/(-5)?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 = f + 120. Calculate the remainder when 67 is divided by f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 - 70. Let w = 40.3276 - 0.0476. Let o = a + w. Round o to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000089739 rounded to seven decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.4, 7\/522, 8, 4\/7, 1 in ascending order.\nAnswer: -0.4, -0.2, 7\/522, 4\/7, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 46267, 185055, 416367, 740203, 1156563, 1665447, 2266855?\n\"Answer: 46262*k**2 + 2*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ysjl when four letters picked without replacement from shsljyy.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xoxj when four letters picked without replacement from {x: 1, t: 1, f: 1, o: 5, j: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*p + 7*p - 28 - 4*p - 3*p wrt p.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202.4384 years to months.\nAnswer: 2429.2608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i + 1. Let j be y(-2). Suppose j*n = -40 + 160. Calculate the highest common divisor of n and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/7 + 1\/5.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161 = d - 164. Suppose 116 = d*j + 5*w, 5*w + 120 = 4*j + 3*w. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1 = -2*i - t, 5 = -5*i + 5*t. Suppose 4*k = -2*w + 236, 3*w - 2*k - 626 = -2*w. Suppose -u - u + w = i. List the prime factors of u.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 4:12 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-35)\/(-2)*48\/14. Let l = -33 + b. Suppose -d - 7*k + l = -3*k, 2*d - 3*k = 10. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**2*m)\/m*(m\/(m**(2\/11)\/m))\/m)**30)**(-13\/2) assuming m is positive.\nAnswer: m**(-6045\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-6))\/(-6 + (-434)\/(-72)). Let n(g) = -g**3 + 11*g**2 - 9*g - 10. Let z be n(10). Suppose z = -3*a + 87 + h. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 614689558?\nAnswer: 2, 7, 19, 43, 61, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54719, 109602, 164485, 219368, 274251?\nAnswer: 329134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -487 + 744. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16062257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 24.4641 * 0.09\nAnswer: 2.201769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -1, -27, -59183.\nAnswer: -59183, -27, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 657, 1207, 2123, 3405?\n\"Answer: 183*w**2 + w + 473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j*r**3 + j*r**2 + j*r - 6*j + 8*r**3 + 9*r**2 - 81 wrt r.\nAnswer: -6*j*r + 2*j + 48*r + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 16*y + 27. What is g(-11)?\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -1. Let q = -13\/3 - -5. Which is the nearest to q? (a) -1 (b) 0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2291748446 from -391.\nAnswer: -2291748837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1966267 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**3*k*k*k*k)*k)\/(k*k**(-1))*(k*k*k\/(k\/k**(-2\/7)*k)*k)\/(k\/((k\/k**(-3\/2))\/k)))**(-4) assuming k is positive.\nAnswer: k**(78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13326\/(-180) - 592\/(-17760).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-4 + 5 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2928884038 to the nearest integer?\nAnswer: 1431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, d: 4, h: 13}. What is prob of sequence xdd?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -11. Suppose -u*g = -g - 201. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, v: 1, w: 4}. What is prob of picking 1 l and 3 w?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -514040*f**2 - 5*f = 0.\nAnswer: -1\/102808, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91007 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.499 - 0.199. Let v = 21\/5 + -4. What is the nearest to v in -3, -0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*a = -1378, -5*z = -4*a - 2664 - 4247. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3769345261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11637509.\nAnswer: 13, 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 4\/9 (b) -0.3 (c) 1\/105 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 + (-98)\/18)*(-3)\/1. Put i, -4\/23, -4, 4, 2 in increasing order.\nAnswer: -4, -4\/23, i, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**2 + 125*d**3 - 40*d**3 - 44*d**3 - 3*d + 6*d**4 - 41*d**3 to f*d**2 + o*d**3 + t*d + u + q*d**4 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, u: 2}. What is prob of picking 2 h and 2 u?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1088.2416908 rounded to 0 dps?\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 0*k = k + 177, 2*i = 5*k + 57. Calculate the remainder when 214 is divided by i.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 479063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84371, 167824, 251277, 334730?\nAnswer: 418183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-10) + 12\/5 + -5. Put 4, l, 35, 5 in increasing order.\nAnswer: l, 4, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 6:15 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 345070*593\nAnswer: 204626510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 1 = -24, t + 27 = 11*b + 5 - 14 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -0.1 (c) -104\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -138.4232438 to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -26*w**4\/11 + 758*w**3\/11 - 4250*w**2\/11 - 4278*w\/11 + 756\/11 = 0?\nAnswer: -1, 2\/13, 9, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8296725 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27796 is divided by 9248?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -24*o**2 + 6*o + 8. Let f(b) = 8*b**2 - 2*b - 3. Let j(u) = -17*f(u) - 6*r(u). Suppose 4*t = -3*x - 4, 3*t + 0*x = 2*x - 20. Is j(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -81 - 5?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 14436857, 14436856, 14436855, 14436854, 14436853?\n\"Answer: -r + 14436858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-7)*24850\/(-355).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3920 is divided by 317?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/52 and 67\/1368?\nAnswer: 17784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1959626*r - 40*r**2 - 1959626*r.\nAnswer: -40*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -736*d + 3490. Calculate c(6).\nAnswer: -926","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 378.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1223.12 - 1243. Let q = -20 - v. What is q rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2919.56 + -2919.4. What is the second smallest value in l, 2\/17, 34\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 23*o**2. Let x(z) = z - 6. Suppose 31 = -4*a - 21. Let n(q) = -2*q + 13. Let p(h) = a*x(h) - 6*n(h). What is p(i(l))?\nAnswer: -23*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -39586 and 23.8.\nAnswer: -39562.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 111 + 1126*z**5 + 4*z - 4*z - 5*z + 737*z**5 wrt z.\nAnswer: 37260*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -7111, 2\/5, 2, -132?\nAnswer: -7111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 10010110?\nAnswer: -10010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, c: 2, e: 4, s: 1, n: 3, y: 1}. What is prob of picking 1 e, 2 n, and 1 c?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25357 - 20595. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1859\/5340 + -1\/534. Which is smaller: a or 6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from ttetnntnutnnnetettu?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -n**4\/12 + 2*n**3\/3 + 3*n**2\/2 - n. Let l be p(5). Suppose 4*q - 6*q = 8. Put l, -3, q in increasing order.\nAnswer: q, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1146928 divided by -16?\nAnswer: -71683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 681, 1683, 3007, 4653, 6621?\n\"Answer: 161*y**2 + 519*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 5*q + 31 - 11 = 0, -2*j - 25*q + 115 = -60*q for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20681 is divided by 100?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 718 divide 1161724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -156\/41 < -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -2. Suppose -2*t - 254 = -i*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86866213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = q - 2*t - 575, 0 = 5*t + 15. What are the prime factors of q?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j + 70. Calculate the lowest common multiple of 26 and r(21).\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17.1 + 17. Let b = 2.9 - q. Sort 0.4, b, 2\/3 in increasing order.\nAnswer: 0.4, 2\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 18*r - 4. Let d be f(3). Calculate the greatest common divisor of d and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1551)\/(-132)*(10 + 5 + -19).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*k - 7*k - 14*k as m + f*k and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 832*v**6\/3 - 593*v**2\/2 + 43. Find the second derivative of r(d) wrt d.\nAnswer: 33280*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2288*u**4*w + 415*u**3*w + 555268*u**2*w - 2*u*w wrt u?\nAnswer: 54912*u*w + 2490*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2.38025 or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2526982*r**3 + 118825583 wrt r.\nAnswer: 7580946*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 + -36. Let l = 2 + -4. Let g = l - -2. Solve q + g = -h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 86 - 83. Let s be -1 - (c\/(-30))\/((-10)\/(-75)). Let v be (-4)\/(-6) - (-2)\/(-6). Which is greater: s or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -13*s - 52. Give q(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 220?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 7*o + 2. Let l be b(7). Suppose 3*a - 8 = -l. Suppose a*f - 10 = -2*t, 5*f - 2*t + 3 + 0 = 0. Solve 0 = -g + f - 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 3826045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 31\/3, 0.25, -2\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 65 - 57. Let k = -65 - d. Let t(v) = 9*v**2 + 8*v - 4. What is the tens digit of t(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 75\nAnswer: 4\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10888868971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 5882.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -632*g - 4418. Suppose 9 + 5 = i. Calculate the lowest common multiple of d(-7) and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 + -3. Let s(p) = -7*p - 16. Let k be s(-3). Suppose -k*u + u + z = 0. What is the remainder when 12 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/11 - 105690*d\/11 - 951048\/11.\nAnswer: -2*(d + 9)*(d + 52836)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**3 - 5*s**2 + 5*s + 5. Let f(y) = 3*y**3 + 8*y**2 - 8*y - 8. Let j be 1*8 + 2 + -5. Let n = 3 + j. Determine n*z(k) + 5*f(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/5)*p)\/((p**5*p*p)\/p)*p**(-3)*p**(-3)*p assuming p is positive.\nAnswer: p**(-47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 2)*(-2 - 2 + 1)*(-146 - 21 + 21 - m**2) to k*m + r + j*m**2 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*x - 101494200 = 36*x + 30*x. What is x rounded to the nearest one hundred thousand?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.015 - -0.015. Which is the nearest to -3? (a) f (b) 2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 135952 + -135951.944621. What is w rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -9 (b) 2 (c) -3\/4 (d) 13 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -11 + (-51 - (56 - 100)) + -5?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11291 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, y: 6}. What is prob of picking 2 y and 2 c?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31734, 126983, 285730, 507975, 793718, 1142959?\nAnswer: 1555698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - -1044.\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(114)*-2 + sqrt(114))*-2)\/(sqrt(150) - 2*sqrt(150) - sqrt(6)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 69 and 12.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1*-365\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 7488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(25) + sqrt(100)\/sqrt(4)) + sqrt(25))\/((sqrt(20)*-2)\/sqrt(4))*5)**2.\nAnswer: 21125\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.174 + -4.174. Suppose -6*d + 5*d = -4. What is the second biggest value in n, d, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = v - 97, -5*s - 133 = -2*v + 110. Suppose -j - 3*j + 487 = o, -3*j = -5*o - 394. Let f = j + s. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7265100.\nAnswer: 2, 3, 5, 61, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66*0.2538.\nAnswer: -16.7508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/1586 - -703\/47580. Let y(h) be the third derivative of 1\/6*h**4 - 5\/6*h**3 - 13*h**2 + 0 + f*h**5 + 0*h. Determine p, given that y(p) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*f - 9, 0*h + 15 = 4*h - f. Suppose h + 13 = -2*c. Let i = c + 9. What is the lowest common multiple of 6 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fooqtttpqopttooo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -978 + 1757. Let q = f - 796. Let t = -31\/153 - 1\/51. What is the third smallest value in q, -1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28587, 29095, 29681, 30339, 31063, 31847, 32685?\nAnswer: 33571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 449, 3256, 8419, 15938, 25813, 38044?\nAnswer: 52631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/15 - 7\/3. Let q be (-66)\/8*8\/(-6). Put 0, q, f, 2 in decreasing order.\nAnswer: q, 2, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, 2\/13, -919?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*o**3 + 639*o**3 + 109*o**3.\nAnswer: 879*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (210\/(-25))\/(6\/(-15)). Let p = 25 - j. Sort -4, 11, p in decreasing order.\nAnswer: 11, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3161 + 3765. Is a a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, l: 4, n: 1, z: 3}. Give prob of picking 1 l, 1 n, and 1 u.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -39584 * 1.384\nAnswer: -54784.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**2 + w**2 + w**2 + (565*w - 391*w - 274*w)*(-2*w - w + 2*w) to c*w + b*w**2 + g and give b.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 121232002203 (base 4) to base 13\nAnswer: 1520a72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 98032 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 350 - 14576?\nAnswer: -14226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**13)\/(r*r*r*(r*r\/(r*r\/(r*(r*r**12*r)\/r*r))*r*r*r)\/r)*(r**(-1\/5)*r)\/(r*r\/(r**11\/r)))**(24\/5) assuming r is positive.\nAnswer: r**(456\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (194\/(-388))\/(712\/32)\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(432) - ((0 + sqrt(432) + sqrt(432))*5 + sqrt(432)) - (sqrt(432) + -1)*4) + 3 + 3 + -1)*-6)**2.\nAnswer: -532224*sqrt(3) + 48775428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-18\/5)\/q)**(1\/18) assuming q is positive.\nAnswer: q**(-23\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f. Let n(u) = u - 16500207. What is b(n(t))?\nAnswer: t - 16500207","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2435 - -65337?\nAnswer: 67773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1892 - -2448. Calculate the lowest common multiple of v and 10.\nAnswer: 2780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tjoztbjd. Give prob of sequence bjjo.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 - 6*u**2 - 9*u**2)*(-6*u**3 - 6 + 6).\nAnswer: 90*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3367\/584 - -23\/876. Find the common denominator of h and -47\/108.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.42, -150, 3\/13?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 957 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: What is the fourth root of 421301863 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -u**2\/2 - 24*u + 494. What is o(-12)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1981 - -1979. Let t be ((l\/(-4))\/1)\/(39\/1170). Factor -1\/3*d**3 - t*d + 4*d**2 + 50\/3.\nAnswer: -(d - 5)**2*(d - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1518 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppggjrpcpr. Give prob of picking 1 c and 3 p.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3457466 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24513739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 2*v - 32 = 0, -5*v - 33 + 88 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/9)\/p*p**(-11))\/(p**(-7))**(-44) assuming p is positive.\nAnswer: p**(-2881\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3510636, 3510626, 3510610, 3510588, 3510560?\n\"Answer: -3*w**2 - w + 3510640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 340460 divided by -116?\nAnswer: -2935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {m: 4, d: 16}.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (0 + 10 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 6. Let t = 74397 + -74394. Solve 4*w + t = -5*v - 0, -s*v + 3 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 118198990 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2411, -4845, -7281, -9719, -12159?\n\"Answer: -j**2 - 2431*j + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 35*k. Let b(a) = 208*a + 1. Determine x(b(t)).\nAnswer: 7280*t + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(1584) - (sqrt(1584) - 3*sqrt(1584))) - sqrt(1584) - sqrt(1584))*4)\/(-2*sqrt(256)*-2).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + b**2 - 1. Let o(t) = 7*t**3 + 6*t**2 - 4. Let q be -5*4\/(-30)*6\/(-4). What is q*o(c) + 4*p(c)?\nAnswer: -3*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -11*g + 412. Let m be k(37). Let n(d) = d. Let a(z) = 121*z + 11. Let s(u) = a(u) + 3*n(u). Is s(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 895 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - 5)*5 - -49. Suppose -4*d = 16*a - 11*a - 28, -c = -5*d - 4*a. What is the remainder when d is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -65888212.896 - -65656608.395972. Let x = -231605 - w. Let i = x + 0.5. Round i to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12765469393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*o - 1272, -v - 2531 = -4*o - 835. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*j - 5*j + 5 - 1)*(-7*j**3 + 2*j**3 + 2*j**3).\nAnswer: -9*j**4 - 12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11505134.\nAnswer: 2, 53, 311, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -194, -456, -718, -980, -1242, -1504?\nAnswer: -1766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express j - 2*j + 6*j + 0*j - 173 - 3*j as f + z*j and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1596737590?\nAnswer: 2, 5, 7, 37, 616501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1689, -3192, -4689, -6180, -7665, -9144?\n\"Answer: 3*l**2 - 1512*l - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17741705 and 1780?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 9*q**2 + 144*q - 11. Determine a(-16).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107, 1085, 3959, 9749, 19475, 34157?\nAnswer: 54815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1980 - f - 966 - 1156 + 2*f**2 in the form z*f + k*f**2 + m and give m.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + l + (0 + 4 - 3)*(l - 2*l - l) + (-22 + 3 - 6)*(0*l + 2*l - l))*(-1 + 2*l + 1) to the form k*l**2 + h*l + g and give k.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -205038 + 777244. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12*(-186)\/12*4\/(-3). Let y = r + -243. What is the remainder when 68 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x - 1. Let d be c(-1). Let v = d + 0. Calculate the remainder when 3 is divided by (v\/4)\/(6\/(-8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 110028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 25187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26121 - 72903 = -18*y. List the prime factors of y.\nAnswer: 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-246*z**3 + 413*z**3 - 303*z**3)*(-5*z + 5*z + 2*z).\nAnswer: -272*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/10024 and -1\/168.\nAnswer: 30072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from 62952622470.\nAnswer: 62952622470.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2271*s**3 + 131*s wrt s?\nAnswer: 13626*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 265411\/8113 + 1*(-41 - 4)\nAnswer: -86\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of o**2 - 6*o + 1. Let j be c(5). Let f = -411 + 413. Solve i = j*n - 3*i - 8, i = f*n - 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 294 = -a - 2*a, 3*a = 5*d - 369. Suppose -189 = -6*h - d. What is the remainder when 33 is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 6*z**2 - 7*z + 4. Let x(c) = c**3 - c**2 + 2*c - 1. Let d be x(1). Let h = d + 3. What is the units digit of g(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 244774580?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8196\/7 - -1163. Let o be (-57)\/28 - (-6)\/21. Let n = o - -9\/2. Calculate the common denominator of n and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-7*x - 111 + 217 - 109).\nAnswer: 14*x + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2128*d**3*g*q - 46*d**3*q**3 - d**3 + 76*d**2*g*q**2 + 52*q**2 + 96*q wrt q?\nAnswer: -276*d**3*q + 152*d**2*g + 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 52*a**2 - 13*a - 2. Suppose 11*f - 30 = -41. Calculate the lowest common multiple of 7 and y(f).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 437134774?\nAnswer: 2, 218567387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 7 + (-4 - 3) + 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19773*s + 16566*s - 9186*s.\nAnswer: 27153*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239594440?\nAnswer: 2, 5, 83, 72167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a\/(a*a**(2\/11))*a\/a**(-3\/4))**(-11\/8)\/((a**(-2)\/(a*a**(3\/4)))\/(a**(-1\/2))**(1\/19)) assuming a is positive.\nAnswer: a**(-719\/608)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 70 * -135.\nAnswer: -9450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-478)\/(-154) + 9\/((-630)\/20) and 36\/19.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33 + -140?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 4. Let a(p) be the first derivative of -3*p**2 + 3 - 4*p + u*p**2 + 2*p. What is the derivative of a(v) wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.3 take away 32.46?\nAnswer: 15.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3246366733 + 3246366746.22869233. Let d = q + -0.12869376. Let k = -13.1 + d. What is k rounded to seven decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/35*(25*31\/620)\/(7\/(-30))?\nAnswer: 60\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 198796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -63 + 151. Let y = l - 44. What is the units digit of (2\/(-4))\/((-2)\/y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3921367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 249\/(-243) + 3. Let p = s - 25\/81. Let x = -2.1 + 2. Which is bigger: x or p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28267 and 4013914.\nAnswer: 4013914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 2:34 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24278580 and 4.\nAnswer: 24278580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 142 + -122. Let n(k) be the third derivative of k**5\/12 + k**4\/8 - 2*k**2. What is the lowest common multiple of b and n(-2)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17745770 divided by -10.\nAnswer: -1774577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 689 - 688.958. Which is the biggest value? (a) 4 (b) 5 (c) -4 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 159 + -155. Suppose 2*t = q, 3*t = m*t - q. What is the nearest to 0 in -2, -2\/7, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 304200432 (base 5) to base 14.\nAnswer: 244246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 43 + -156261?\nAnswer: -156218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n. Let b(m) = -4*m - 3. Let l(i) = 2*b(i) - 10*y(i). List the prime factors of l(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23415*j**2 + 1057015 - 1057015.\nAnswer: -23415*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1055, 2110, 3163, 4214, 5263, 6310, 7355?\n\"Answer: -u**2 + 1058*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*q - 3476*q + 67180 - 68602 = 323706 for q.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**7\/2520 - b**6\/720 - b**4\/12 - 2*b**2. Let s(v) be the second derivative of q(v). Let s(r) = 0. What is r?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d*d**(2\/3))**(12\/11))**(-12\/11) assuming d is positive.\nAnswer: d**(-48\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 585 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 86304 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 - 46*l**2 + 85*l**2 - 53*l**2 - 2*l**3 in the form t + k*l + a*l**2 + u*l**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 + (4 - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -13*v + 2. Let j be z(-4). Suppose -2*x - j = -246. Suppose -5*o = 15, 3*a - o - 2*o - x = 0. What is the remainder when a is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + j. Suppose -2*l + 4*p + 14 = -4*l, -p + 1 = 5*l. Give n(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - s - 1)*(-2*s + 4*s - 4*s) - s**2 + s**2 + 2*s**2 + 6 + 0 - 4 + 8*s**2 + 4*s - 2*s**2 - 4*s + (-s + 0 + 0)*(1 - 1 + s).\nAnswer: 9*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3686.71 and 0.09.\nAnswer: 331.8039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 12.1. Which is the second biggest value? (a) 4 (b) -0.5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b + 3. Let i be 256\/512 - (0 - 13\/2). Give r(i).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 27 = s, 2*s + 22 = -5*w - 2. Let f(h) = -h. Let n(i) = 7*i + 6. Calculate w*f(k) - n(k).\nAnswer: -k - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 + 3)*(32\/(-12))\/(-2). Let a(b) = b**3 + 11*b**2 - 11*b + 13. Let h be a(-12). Let o = h + 4. Sort w, o, 6 in ascending order.\nAnswer: w, o, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33203087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -34.\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 23*l. Let p be x(-23). Let k(a) = a**3 - 7*a**2 - 7*a - 8. Let g be k(8). Solve -j + g*j - 3 = p for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 28 = -4*b, 2*v = 3*b + 2*b - 32. Let f(p) be the first derivative of -p + 8 + 2*p**3 - 1\/2*p**2 + 1\/4*p**4. What is f(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 + 193 = -29*q - 249. Put 0, 2, 4, -4, q in decreasing order.\nAnswer: 4, 2, 0, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 97*w + 4. Calculate o(-2).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -9072 at most -9158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 2 = k, -10*l + k = -14*l - 13 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1290054?\nAnswer: 2, 3, 211, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/23, -1, 4?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7741 + 12816. Does 2 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 10 = 6*q. Let y(t) be the first derivative of 17*t**2\/2 - 4*t + 1. What is the units digit of y(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/20*(1 + -6). Let x be (f\/4)\/((-1)\/(-30)). Suppose 0 = -4*c + 210 + 450. What is the greatest common divisor of x and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-196)\/(-70) - (-1 - (-8)\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from phbhtpmm?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 3689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 3\/724, -0.3, 926\/3, 0.5, -2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {n: 2, g: 1, e: 7, u: 4, p: 4, d: 2}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/810?\nAnswer: 1\/810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 3*j + 2. Let l = 3 + 12. Suppose 9*d = 4*d + l. Let r be 2 + 0\/(d + -7). Determine v(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 205.56213 milliseconds to minutes.\nAnswer: 0.0034260355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + sqrt(5) + sqrt(5) + 6*(sqrt(5) + 0).\nAnswer: 2 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 - -46.7. Let n = 6 - l. Let z be 1\/(-12) - 7\/28. Sort n, z, -0.4 in ascending order.\nAnswer: -0.4, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 2:51 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -5*s**2 - 7*s - 1. Calculate t(-3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3\/7 + 1151*z**2\/7 - 9766*z\/7 + 6000\/7.\nAnswer: -(z - 375)*(z - 8)*(3*z - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -5*p**3 + p**2 - p + 1. Let s be c(1). Let r = -72 + 69. Sort s, -2, r in decreasing order.\nAnswer: -2, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 51*l + 1439. What is g(-28)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -106.4478438 rounded to three decimal places?\nAnswer: -106.448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + 33 + 1 + 1 - (3 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 347 + -199. Let a = -102 + b. Let k = -45.99999954 + a. What is k rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.018 (b) -46 (c) 1\/150\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lelrlllrlrllsrsrrr. Give prob of sequence rr.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.05 + 3. Suppose 0 = 5*y - 6*y - 1. Which is smaller: y or l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4440 is divided by 809.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4151297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/36 (b) 0.2 (c) -62.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 210690053*v**4 - 821869334*v wrt v?\nAnswer: 2528280636*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-7)*(-51)\/((-4794)\/(-10199))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (225 + -229)*1\/(-3)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 135014 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -427*a + 49 = -434*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-7)*k**2)\/(k**1*k*k*k**6*k)*(k**0)**14\/(k**7*k\/(((k*k**5)\/k)\/k*k)*k) assuming k is positive.\nAnswer: k**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 4:37 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10989*a - 11067*a = -2485938. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0588250549 rounded to 4 decimal places?\nAnswer: -0.0588","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fvffffffvhffhffvvffh. Give prob of sequence hfh.\nAnswer: 13\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*u - 4*u - 2*u)*(3*u + 2*u - 2*u) - u**2 - u**2 + 0*u**2)*(2 + 0 - 1 + 3 + 2 - 6 + 3 - 1 - 1 + (-3 - 1 + 5)*(-4 + 1 + 4) - 2 + 1 - 2).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/6)\/o)\/o)**(-3\/29)\/(((((o**(-4)\/o)\/o*o)\/o)\/o*o)\/(o\/(o*o**(-3\/2)))) assuming o is positive.\nAnswer: o**(224\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 3*j - j)*(-2*j - 3*j**4 + 2*j) + 99*j**5 + 580*j**5 - 133*j**5.\nAnswer: 537*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1369805, 2739613, 4109419, 5479223, 6849025, 8218825, 9588623?\n\"Answer: -z**2 + 1369811*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j**2 + 19 - 19)*(-17 - j + 13 + 8)*(-5 + 2 + 2)*(1 - j - 1).\nAnswer: 5*j**4 - 20*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cqc when three letters picked without replacement from ppqcocccioopacapca?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 4, -2\/5, 0.13, -2\/7, -8\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-six fifths of a day?\nAnswer: 7488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*d + 12*d = -8*d. What is the second biggest value in d, 0.2, -0.5, -4\/5, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in 1\/3, -2\/5, 26, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j. Let a(p) = 2*p - 372. Determine x(a(c)).\nAnswer: 4*c - 744","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 36\/81 - (-7712)\/(-18). Let c = u - -433. Solve -c*y + 21 = -n, -y = 4*n - 8 - 13 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 620380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (2 - (11 + -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5021, 5931, 6837, 7739?\n\"Answer: -2*k**2 + 916*k + 4107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 - -29. Let w be 4 - (u - 2 - -9). Let j(g) = -g. Determine j(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*q - 11759*q**3 + 3*q**2 + 11745*q**3 - 15*q - 3*q as u + z*q**3 + i*q + m*q**2 and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 11:02 PM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1035 is divided by 272?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55988942?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 84, -4, 7, -102 in decreasing order.\nAnswer: 84, 7, -4, -5, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.12 - -0.43. Let l = 0.51 - c. Sort 1, l, -2, -1 in descending order.\nAnswer: 1, l, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*n - 30*n + 17*n. Let w(j) be the third derivative of n - 7*j**2 + 0*j + 1\/3*j**3 - 1\/24*j**4. What is w(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10087725101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -j + 3. Let s(t) = 1. Let a(x) = -4. Let q(y) = 2*a(y) + 9*s(y). Let u(o) = -o**2 + 3*o - 4. Let w(b) = -3*q(b) - u(b). Give w(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 + -37557.5266236.\nAnswer: -37556.8266236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - l + 1. Let u(v) = -v**3 - 6*v**2 + 3*v + 1. What is u(n) + w(n)?\nAnswer: -n**3 - 5*n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 + 22. Let n = -227\/3 - -77. Calculate the common denominator of (-2 - 1) + 1 - w and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -16*g + 13. Give v(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 * 0.1.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + y - 8. Let h = -20 + 26. Let l be (2 + h)\/(0 + -2). Let a be o(l). Solve -27 = 2*i - 0*i + 5*w, 18 = 2*i - a*w for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*-1 + 42\/(-21). Let z(a) be the second derivative of a**4\/6 + a**2 + 18*a. Calculate the smallest common multiple of z(u) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144624 and 7728.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**5 + 40*g**4 - 1410*g**3 - 13000*g**2 + 14365*g = 0. Calculate g.\nAnswer: -13, 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14695 and 158706.\nAnswer: 793530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -a4d4c (base 16) in base 7?\nAnswer: -5511235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - z + 1. Let c(m) = -14*m - 20. Let y(x) = -c(x) - u(x). Let v be y(6). Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 - 31 = y. Suppose -f = y*n - 18 + 63, 3*n = 9. Is (6\/(-4))\/(f\/4360) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u + 7*u - u + (-9 - 3 - 1)*(734 - 734 + 5*u) + (3*u - u - u)*(2 + 0 + 0) to q + i*u and give i.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 231281, 462511, 693741?\nAnswer: 924971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0, 4\/5, 14\/3 in descending order.\nAnswer: 7, 14\/3, 4\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 398398 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 987969*j**3 - 494066*j**3 - 494032*j**3.\nAnswer: -129*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.157 and -1532569.\nAnswer: -240613.333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6779119 kilometers to nanometers.\nAnswer: 677911900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*2186\/(-104) + 414972\/(-3596424)?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 0*a**2 - 4\/7 + 4\/7*a**4 - 10\/7*a + 10\/7*a**3 = 0.\nAnswer: -2, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (6 - 2) + (-1 - -8)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t + 1. Let z(k) = 3*k - 1. Let c be 2\/5 - 196\/(-35). Let h(m) = c*q(m) + 5*z(m). What is the first derivative of h(s) wrt s?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 35*(-3)\/((-9)\/(-3)). Let r = 107\/3 + l. Let n = -16 - -15.6. Sort 1\/2, n, r in descending order.\nAnswer: r, 1\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32 - ((-3 - (-8 + -2)) + (-4 - 0))) + -8.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 763 divide 724263253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 - 58*s + 4. Is g(30) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -261547, -6, -1 in decreasing order.\nAnswer: -1, -6, -261547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58 - 45. What are the prime factors of 1 + 3 + 20\/(-5) + n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 535 and 27?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.114 - -16.114. What is the nearest to 0.05 in 0, 3\/5, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/27 and -37\/289847490.\nAnswer: 2608627410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -9*q**2. Let o(s) = 3*s**2 + 978. What is o(u(t))?\nAnswer: 243*t**4 + 978","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*x - 22 + 90 = -x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 174 - 170. Suppose 5*m = 5*u - 209 - 156, 48 = u + f*m. Is 34 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -140*p + 23. Is x(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = 13 + 15. Let t(n) = 2*n + 2. What is t(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -5*q**3 + q**2 - q + 35948. Is 22 a factor of f(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 + 2 + 7 - -6\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94 = 956*s - 1003*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3170 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + 66 + (24 - 39).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 7*h**2 - 36*h - 73. List the prime factors of v(20).\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l - 1\/2*l**3 + 1\/12*l**4 + 0 + l**2. Find q, given that y(q) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3503, -5, -4, 112 in descending order.\nAnswer: 3503, 112, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 3*v - 8*v, 3*v = 5*k - 37 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -313 + -44. Let g be (-5)\/(-20) - k\/12. Suppose -2 + g = 4*h. Solve 0 = -3*j + 2 + h for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + d - 1883 + 1858 = 4*d, 56 = 6*r - 5*d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 11*d - 50. Let w be x(15). Let r(u) = u**3 - 11*u**2 + 10*u - 3. Let k be r(w). Do k and -3 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20232 (base 4) in base 12?\nAnswer: -3a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -153096363 divided by -1987?\nAnswer: 77049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -277 + 277.1. Which is the smallest value? (a) 2\/11 (b) w (c) 0.3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(4\/5)*h*h*h*((h\/h**(-2\/3))\/h)\/h)\/((h*(h\/(h*h**(2\/13)*h))\/h)\/h*(h**(-1\/10)\/h)\/h)*(h**(-3\/8)\/h**(-1))**(2\/31) assuming h is positive.\nAnswer: h**(187657\/24180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 11*l**2 + 18*l + 8. Calculate w(-3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69216 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-312)\/(-6) - -7 - (-1 - -2) is divided by 49.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8185)\/(-6548))\/(3\/(-156)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*t + t + 6*t)*(2*t - 4*t + 4*t)*(180*t - 317*t + 174*t) as g + r*t + w*t**3 + s*t**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 10*h + 255. Give z(-24).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*l + 4*l - 40*l)*(-162*l**2 - 153*l**2 + 307*l**2) + (0*l + 0*l + l**2)*(0 - 4*l + 0) in the form h + a*l + x*l**3 + z*l**2 and give x.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 413*h + 541*h + 409*h - 7*h**3.\nAnswer: -7*h**3 + 1363*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11*(-6 - -5)*-3 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -0*l + 6. Suppose -3*j = -2*h - 10, l*j = j - 3*h - 4. What is the common denominator of 47\/22 and (j\/(-8))\/(2\/388)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 440 and 116.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -296661 * 6.\nAnswer: -1779966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 55*j**2 - 1175*j - 60483. Calculate u(-57).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 282055, 563417, 844779?\n\"Answer: 281362*m + 693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (21\/9*3)\/(756\/2651076).\nAnswer: 24547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 22*z**2 - 7*z. Let c(l) = 8*l. Determine c(o(d)).\nAnswer: 176*d**2 - 56*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and 11.666?\nAnswer: 11.966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -19*o - 18. Suppose -2*f + o*v = -7*f + 153, 5 = 5*v. Calculate the remainder when 78 is divided by f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3017 and 1753739?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 13 + (-2)\/(-42)*44.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6516 + 11474. Does 86 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5001 = -i, 3*i + 31*y - 15029 = 32*y. List the prime factors of i.\nAnswer: 5009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (20 - 14) + -1 + 0\/2. Suppose d*s - 45 = 8*s. Calculate the remainder when (6\/(-1 + -2))\/(2\/s) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 15) to base 14.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and 108840?\nAnswer: 108841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130, -245, -360, -475?\nAnswer: -590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 20*s**2 + 16*s - 9. Let g be u(11). Which is smaller: -921 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-30)\/(-3*2\/9). Suppose r - 17 = 4*d. Suppose d = -5*s - 8. Is s != -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -13. Suppose 0 = -2*s + h + 4. Suppose 3*l - 2*f - 1 = 3, -s*f = -3*l - 8. What is the remainder when 19 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(-3)\/(-24)*-8. Solve o = -170*a + 182*a - 36 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x - 16*x = 0. Suppose x = -4*i + 5 + 71. Let s = i + -5. Calculate the least common multiple of 9 and s.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 20, 17, 14, 11, 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -5*z. Let o(y) = 7*y**2 - 38*y + 3. What is l(o(a))?\nAnswer: -35*a**2 + 190*a - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2 + b + 5. Let y be p(-6). List the prime factors of 4\/16 + y\/4.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*3*4*sqrt(3).\nAnswer: -60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10\/9, 9, 3\/2, -3?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.353 times -65584?\nAnswer: 23151.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-6)*(-32)\/72.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -51112533631.3991 + -0.4?\nAnswer: -51112533631.7991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2143 - 2146. Suppose m + 5 = -3*n + 1, 3*m = -3*n. Let h = 4 + n. Which is the nearest to -2\/3? (a) 3 (b) s (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2212100201 - 12101211?\nAnswer: -10001202112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -127*k**3 + 89*k**2. Let l(c) = -251*c**3 + 178*c**2. Let v(u) = 9*i(u) - 4*l(u). What is the third derivative of v(s) wrt s?\nAnswer: -834","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6 (b) -0.13 (c) -3\/2 (d) -1\/6464\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 764 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 13. Let v be (-37 + -255)*(1 + -2). Let m = 322 - v. Calculate the remainder when m is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2296 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: Solve -c - 11 = -6 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 16817816 divided by -48889\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11.365543103 and 15?\nAnswer: 26.365543103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*q = 8*q + 5*q. Is q bigger than -14\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8578 (base 12) to base 2.\nAnswer: 11100100101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 85346201?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 5*u**2 - 50*u + 87. Give k(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 + 23488*y - 34480384.\nAnswer: -4*(y - 2936)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1589 - 1596.878. What is l rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*23.0926.\nAnswer: -6.92778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/((q\/(q*q**(-1\/19))*q)\/q))\/q)**(-18\/11)\/(((q\/(q*q*q**(6\/19)))\/q*q)\/(q**(-10)*q*q*q)))**6 assuming q is positive.\nAnswer: q**(-7020\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 2*p + 48 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 5*l + 140, -75*p + 55*p = 2*l + 158 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q*x**3 + 2*q*x**2 + q*x - 11721*q - 408129*x**3 - 6*x**2 wrt x?\nAnswer: 12*q - 2448774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 1\/20*t**5 + 5*t**2 - 4\/3*t**3 - 1\/2*t**4 - 3*t + 0. What are the prime factors of x(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -10*a. Does 4 divide z(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 5*g - 201*g**3 + 70*g**3 + 68*g**3 - 7*g**4 + 0*g**4 + 61*g**3 as x*g + b*g**4 + k*g**2 + l + j*g**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46691\/33 + 1415. Let f(y) be the third derivative of -1\/33*y**4 - 1\/330*y**5 - x*y**3 + 4*y**2 + 0 + 0*y. Factor f(k).\nAnswer: -2*(k + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 222 and 814.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 2*s**2 - s - 3. Let f be x(3). What is the remainder when -7 + -1*160\/(-28)*70\/5 is divided by 86\/6 + 2\/f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9.9 - -10. Let h = 11 - 10.9. What is the closest to b in h, -4, -1\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -437799935\/7 at least as big as -62542849?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*v**3 - 8*v**2 + 36*v**3 + 2*v**2 as y + d*v**2 + n*v**3 + x*v and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 645 or 644?\nAnswer: 645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84, -156, 2, -1, -2 in increasing order.\nAnswer: -156, -2, -1, 2, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/21 - 47\/7. Let p(x) = x + 6. Let s be p(l). Are 0 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 8967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = -1 - 55. Let c be 1\/(x + 81\/10). Solve 8*d - c = 6*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 5:33 PM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -d + 1\/4*d**4 + 2 - d**3 - 5\/2*d**2. Suppose -4*w + 4 = -3*w. Calculate s(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 31*c + 34. Let w be t(3). Let q = -134 + w. Sort 5, q, -5, 4.\nAnswer: q, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -23*n**2 - 367*n - 21. What is the smallest common multiple of 516 and l(-9)?\nAnswer: 5676","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - 3 - (-2)\/4*2. Suppose -7*i + 4*i = m. Suppose i*s - h = 3*s - 71, 4*h = -16. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 1\/84 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 6*l - 73. Suppose 0*p + 3 = p. Let i = 1 + p. Solve i*y - l = -y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6259214*b**2*z + 7*b*z + 122648424*z wrt b.\nAnswer: -12518428*b*z + 7*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 18.6, 4, 280, -5 in ascending order.\nAnswer: -5, -3\/4, 4, 18.6, 280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p\/(p*p\/(p\/(p\/(p\/(((p\/(p\/p**(-7\/2)))\/p)\/p)))*p)*p*p*p))\/p))**(7\/8)\/((((p**(-7)\/p)\/p)\/p)\/p**(8\/7)) assuming p is positive.\nAnswer: p**(1101\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2944.897 litres in millilitres?\nAnswer: 2944897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.59 - -0.41. Which is the biggest value? (a) -1\/3 (b) -18 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.996553+82.5\nAnswer: 83.496553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*d**2*p + 8*d**2*u + 1632*d**2 + 2*d*p*u - d*p + 2*d*u - 5438*d - 16 wrt d.\nAnswer: -26*p + 16*u + 3264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, o: 3, c: 1}. Give prob of picking 3 l and 1 c.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 729451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*m + 1400 = -208*m. Let q = 0.1 + -0.6. Which is the smallest value? (a) m (b) q (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1517 is divided by 95.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113537 is divided by 3145.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (49 - 2*z - 49)*(4*z**2 + 3*z**2 - 3*z**2 - 2*z + (4*z - 5*z + 2*z)*(-2 - 2*z + 2)) as q + o*z**3 + l*z**2 + i*z and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 34?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 94744036 to the power of 1\/3, to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 467 * 1.1\nAnswer: 513.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16.68 + 75.96. Let g = -0.72 - v. Let n = g + 59.9945. Round n to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 8, v: 6, e: 3}. What is prob of picking 1 t, 1 v, and 1 e?\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/12)\/((-3)\/18). Find s, given that -77*s**5 + 6*s**3 + 8*s**2 - 4*s**4 + 75*s**l + 2*s - 10*s = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - -111202?\nAnswer: 112001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5*q - 90 = 0, q + 0*q = -4*l - 47. Let p = l - -20. Suppose 2*n + 20 = p*n. Solve -n*w + 11 = -9 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of j**5\/30 - j**3\/6 + 11*j**2 + 2. Let m(y) = 2*y**2 - y - 2. Give -4*l(f) + 3*m(f).\nAnswer: -2*f**2 - 3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 79963.8403 times 2?\nAnswer: 159927.6806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 + 32. Suppose 10*p = y*p + 69. Let f = -12 - -56. What is the remainder when f is divided by p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121112020111 (base 3) in base 13?\nAnswer: -b50ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -143 + 348*t + 141 - 1659*t + t**4 to i*t**3 + k*t**2 + p*t**4 + o*t + s and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 9*t - 5. Let o be 2\/(-4)*1*5\/t. Let x be ((-216)\/(-42))\/(6\/28). Which is the third smallest value? (a) 3 (b) o (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -205.9 - -206. Is z bigger than 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (2 + -13)) + -12 - 9.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 2 - 2*y - 4 to the form i + x*y and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 3:17 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 2 - 2)*(-2*v + 4*v + 0*v) - 3*v**2 + 2*v**2 - 5*v**2.\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*i - 6 = 32*i. Let c be (2 + (-816)\/15)\/(i\/5). Let z = c - -451. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4 - 2 - 2 - 4*r**2 + 7*r**3 wrt r?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6}. Give prob of sequence hhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s + 30. Let c be m(-10). Let h(a) = 4*a**2 - 39*a. Let b be h(c). Solve g + 4*u + 28 = -4*g, 0 = -g - 3*u - b for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*c = -44*c + 1245. Let r = -34 - c. List the prime factors of r.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -921 divided by 3?\nAnswer: -307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*w**3 - 2 - 2*w**4 - 9*w**3 + 12*w + 3*w**3 to the form a*w + y*w**2 + t + c*w**3 + l*w**4 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 14 + 13*o + 8*o - 26*o. Let p be c(3). Let i be p - -5 - (4 - 3). Solve -h - 2*h = -i for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 443 and 0.32275.\nAnswer: 142.97825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (60\/(-50))\/(42\/(-20)). Which is the second biggest value? (a) 3 (b) 2\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9007 is divided by 2993?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -4*a - 10, -7228*a + 7233*a = 3*t - 18 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ctct. What is prob of sequence tct?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -452*n + 45*n - 8178 = 8186 + 1544 for n.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 191\/3 + -63. Let f = -1.07 - -1.37. Let j = 47 + -233\/5. What is the nearest to 0.1 in p, f, j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**4\/2 - 50*n**3 = 0 for n.\nAnswer: -100, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 6 = 3*m. Let b = -50 + 54. Suppose d - 5*d = 0. Solve 2*l - 3*o = -m*o, d = o + b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*z = 0, -28 = -0*r + 4*r + 5*z. What are the prime factors of (-256)\/(-6) - ((-10)\/(-6) + r)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 14*f**2 - 9*f + 24. Suppose 0*q + 3*q - 39 = 0. Does 48 divide h(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 207620 by 7415.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -499*i + 8386 = -6085 for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*v + 24*v + 15 = 0. Let c be (v\/(-10))\/((-9)\/(-12)). Suppose -2*r = -10, -5*x - 3 + 263 = c*r. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18358 is divided by 117.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -5*q**3\/6 - 3*q**2 - q - 5. Determine r(-7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of q**5\/120 + 16*q**3\/3 + q. Let m(y) be the second derivative of j(y). Let n be 36\/16*16\/(-6). Give m(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {v: 1, a: 1, k: 2, w: 5}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 144\/14 - (-10)\/(-35). What is the greatest common divisor of a and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/12 and 49\/116?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7703, 7709, 7733, 7781, 7859, 7973, 8129, 8333?\nAnswer: 8591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 610942972?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3236 - 3224. Suppose 0 = x + 3*n - 2, -5*n - 20 = -0*x - 3*x. Solve x*v - v = d for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -40*x + 1. Determine r(1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 1\/4, -2, 1, 14?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*v - 0*v - 63, -3*b + 32 = 4*v. Let g = 25 - 18. Calculate the remainder when v is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-33 - 8) + 62 + 23 + -2\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t**2 + 360*t + 406 - 360*t + 796 as s*t**2 + u + o*t and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 316967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.04 (b) -4 (c) 40 (d) 1 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/1 - (-15)\/10. What is the second biggest value in v, 0.2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 197 - 307. Find the common denominator of -2 + -1*f\/18 and -31\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 2 (b) -4\/3 (c) -2\/7 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -85632758*c**5 - 36251525*c**2 wrt c.\nAnswer: -5137965480*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 33394299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14930.\nAnswer: 2, 5, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.8 - -17. Let o = -10 + v. Which is the nearest to 0.06? (a) 5 (b) o (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f + 0*f + f)*(-3*f**2 + 3*f**2 + 2*f**3) - 2*f + 11*f - 10*f - 2*f**3 - 2 + 2*f**2 + 12*f**4 as s + j*f**3 + n*f + q*f**2 + o*f**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -3*u**2\/2 - 8*u - 9. Calculate the remainder when b(-7) is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 12 - (-3 - ((0 - 0) + -14 + 10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.4476 to one dp.\nAnswer: 21.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/39534 and -133\/5148.\nAnswer: 3083652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -422, -3, -2, 50998 in increasing order.\nAnswer: -422, -3, -2, 50998","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1208671 (base 9) to base 2\nAnswer: 10100000001000110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 w when two letters picked without replacement from {n: 1, r: 1, w: 5, s: 1, e: 4, l: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -4*j + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {q: 1, i: 17}?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 8*t**4 + 32*t - 63\/2*t**3 + 0 - 8*t**2 - 1\/2*t**5 = 0.\nAnswer: -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -75*g - 544. Determine p(-6).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -7*i**4\/2 - 2*i**3 + 10. Let z be t(-10). What is z rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005405504 rounded to seven decimal places?\nAnswer: 0.0005406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-24) + (-92)\/24\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/12)\/(-2*27\/(-12624)). Let c = f - -176. Put 136, -1, c in increasing order.\nAnswer: -1, c, 136","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 + -33. Suppose -k = -m*k - 499. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3653?\nAnswer: 13, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11084 + 70. Calculate the highest common factor of 66 and s.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8820043?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (4 + -3)) + (-3 - 3)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -291, -1016, -2221, -3906, -6071?\nAnswer: -8716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y = 105 - 137. Solve 4*l - 36*b + 38*b - 20 = 0, -5*b = -3*l + y for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -18. Solve 0*b - b + 12 = -2*d, d - h*b + 9 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1313, 1265, 1181, 1055, 881?\n\"Answer: -d**3 - 12*d**2 - 5*d + 1331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, 5, -5, 2\/17, -1647, -1\/10?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**4 - r**3 - r**2 + 1. Let m(z) = 2*z**4 + 6*z**3 + 12*z**2 - 6. Let k(j) = -m(j) - 6*p(j). What is the third derivative of k(b) wrt b?\nAnswer: 96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3209444.72 rounded to the nearest one hundred?\nAnswer: 3209400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of 0*a**3 + 0*a + 0 - 3*a**2 - 1\/24*a**4. Let l(s) = -3*s**2 + 497 - 497. Calculate l(h(b)).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-26 - -13) + 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16170 by 135.\nAnswer: 1078\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 7 = -2*j + 5*r, -5*j - r - 22 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b + b + 16 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-27)\/(-135) - 14\/(-5). Determine l so that 12*l**2 + 48*l + 57*l - 3*l**j - 90*l = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (164\/(-3))\/((-14)\/3045*5). Suppose -15*z + b = -592. Does 68 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (205\/(-25))\/((-2)\/10). Suppose 4*t - 3*h - 1269 = 0, -t - 2*h + 361 = g. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(171))**2 + sqrt(19) - sqrt(19)) + (sqrt(931) - -2*sqrt(931)) + 5 + -4.\nAnswer: 21*sqrt(19) + 514","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -80 + 904\/11. Determine k, given that -10\/11*k**2 + 18\/11*k**4 - 8\/11 - 24\/11*k + p*k**3 = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -5*x + 11. What is the tens digit of b(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rfryhat. Give prob of sequence ft.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*f - 8*f + 6*x - 69 + 59, -3*f + 4*x - 30 = 0 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*u**4 - 6*u**4 + 3*u**2 + 4*u**4 wrt u.\nAnswer: 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8aa4 (base 13) to base 2.\nAnswer: -100101111001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 116 and 121800?\nAnswer: 121800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -11*d + 1. Let o = -90 + 91. Give z(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42.2*0.0728.\nAnswer: 3.07216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19051 * 1.6.\nAnswer: -30481.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - b**2 - b. Let s(p) = -6*p**3 - 7*p**2 - p + 9. Let g(d) = 4*r(d) + s(d). Is g(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 5*h + 4 - 15, 0 = 5*a - 5*h - 35. Suppose 0*b - a*b = -15. Solve -5*p - 22 = -s, 0*s = -2*p + 5*s + b for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + 3 - 6) + -9 + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8855730 > 8855728?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2565515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 5*l**2 + 6*l - 4. Let g be x(4). Suppose -s = -3*b + 5*b - 6, b = -g*s + 52. Is 10 a factor of (-21)\/s*40\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19937 by -8217.\nAnswer: 19937\/8217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 51509.32ml in litres?\nAnswer: 51.50932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1874341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1\/3, 51, -0.08, -0.3 in decreasing order.\nAnswer: 51, 4, 1\/3, -0.08, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 796 and 4032934?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 2:08 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10636537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/4)\/x*x*x*x)**10\/(x*x**13*x**(7\/5)))**(6\/5) assuming x is positive.\nAnswer: x**(63\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/4)\/l)**(-37)*(l*l*l**(10\/3))\/(l\/l**(-12)) assuming l is positive.\nAnswer: l**(463\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 323339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*v = -81115 - 121539. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a minute in seconds?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 493245 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (194*z**2 - 34*z**5 - 194*z**2)*(-4 - 1 + 7) + z**5 - z**5 - 2*z**5 + 4*z**5 + 0*z**5 - 6*z**5.\nAnswer: -72*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 21*c - 255. What is j(27)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sv when two letters picked without replacement from cchhvhdvssivih?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from 1916.3083301.\nAnswer: 1916.1083301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3306 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114 and 3572?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, l: 2, r: 8, u: 3}. What is prob of picking 1 u, 2 q, and 1 l?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 413.2 + -413. Sort 1\/4, 3, q in increasing order.\nAnswer: q, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4*r = 2736, -3*r + 1957 + 1453 = 5*y. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 21*y + 126. Give k(-11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/5)\/g**(-1\/13)*((g**(-8\/7)*g*g)\/g)**24)**(2\/59) assuming g is positive.\nAnswer: g**(-2322\/26845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 128 + -82. Let f(d) = 46 + 3*d**2 - b. Let n(j) = 0*j + 3*j - 2*j. Give n(f(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 + 25*l + 7. What is s(-11)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, 122823, 4\/7, -1\/4, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/v**(1\/13))\/v)\/v)\/(v**(-1\/5)\/v*v))**(-1\/8)\/((v**(-2\/3))**(-12\/13)*(v**1)**7) assuming v is positive.\nAnswer: v**(-3903\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 34 = 3992*r - 3988*r, 0*z - 2*z + 28 = 3*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -19*x + 17*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-14))\/((-23850)\/(-22260)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 v, and 1 i when four letters picked without replacement from iuivivvvvvievvii?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (799\/423)\/(14\/126).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + 1 - (-30 + 20 - -21 - 17)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272732299 - 3*a + 272732299 + 20*a**3.\nAnswer: 20*a**3 - 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -4*q - 3, 8*m - 7*m + 5*q = -12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 3*o + 10, -2418*z = -2419*z - 3*o - 13 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) -0.1 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8 + 1\/(-1) + -1 + (-1392)\/(-48). Are -54 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00882 rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 3\/23188?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j - 5 + 1 + 3 + 12*j**2 + 3. Suppose -4*z = -2*g - 2, -g = 2*z - 18 + 15. Let w be i(g). Calculate the greatest common factor of w and 100.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from 57125.\nAnswer: 57124.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-95)\/40 + -2)\/((-24)\/192). Solve -7 = 3*n - 2*m - 20, 0 = -9*n + 4*m + y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -14*j + 6. Let g(u) = -5*u + 2. What is 11*g(x) - 4*t(x)?\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -92 - -93. What is the remainder when 133 is divided by (2\/y - (3 + 1)) + 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 65.09159kg?\nAnswer: 65091590000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 284 - -1. Let p = -286 + l. Let n = -0.4 - -0.2. Sort n, p, -18\/11 in increasing order.\nAnswer: -18\/11, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1394 - -1506. Suppose -5*d - 63 = 202. Let r = u + d. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -6031*x**2 - 162853*x - 437. Determine i(-27).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -52*k - 10. Let u be n(-7). Suppose 0 = -3*h - 3*g + u + 528, h = 3*g + 282. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3903.535 millennia?\nAnswer: 39035.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12\/199805 and -63\/10835.\nAnswer: 432977435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009380151 rounded to 7 dps?\nAnswer: 0.0000938","meta":{"dup_signals":{},"source":"numbers__round_number_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: Let p be (((-4)\/(-6))\/(68\/(-1530)))\/1. Let r be (-432)\/(-170) + (-6)\/p. Factor 2\/17*a**2 + 20\/17*a + r.\nAnswer: 2*(a + 5)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*k**3 - 167*k**3 - 8*k**3.\nAnswer: -112*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (a + a + 0*a)*(-8 + 8 - 8*a)*(-2*a - a + a)*(-3 - 1 - 2) as z*a + n*a**2 + j*a**3 + u and give j.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*i - 7 = 70 + 127 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 44 = 4*u, 5*g + 0*u + 2*u = 30. Suppose g = 3*n - 5*n. Is n at most as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.13 - -0.13. Let q = v - -10.5. Let f = -0.2 - -0.6. Which is the third smallest value? (a) 3\/2 (b) q (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3900 = -102*h - 22*h + 1296 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 418a31 + 43?\nAnswer: 418a74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 150*o + 13. Let l(d) = 78*d + 6. Calculate 2*j(t) - 5*l(t).\nAnswer: -90*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + -1)**2*-6 - (sqrt(98) + 1 + -2) - ((-1 + sqrt(72))*-2 + -1*sqrt(72) + 5)**2.\nAnswer: -2154 + 377*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 7:01 PM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -5*f**3 - 2*f**3 + 2*f + 13*f**3 + 0*f**3 - 12 - 5 + 69*f**2. What is the units digit of x(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 times 0.1635?\nAnswer: -0.1308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2516 is divided by 194.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 50719?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 3 = 4*w - 34, 0 = 2*w + 2*y - 14. What is the least common multiple of 2 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5670 - -5670.1891. Round b to 3 decimal places.\nAnswer: 0.189","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1134))\/(4*sqrt(847)).\nAnswer: 9*sqrt(2)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 100*r - 20. Let m be n(13). Factor -73*f - 115*f + 28*f - 2*f**2 - m - 3*f**2.\nAnswer: -5*(f + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 383*s**2 + 95751*s\/2 + 125\/2.\nAnswer: (s + 125)*(766*s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 122824 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 4:01 PM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2452.0804 times -0.03?\nAnswer: 73.562412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(121) - sqrt(121))*-2*5)\/(sqrt(1100)*-1 - (sqrt(704) + (sqrt(704) + 2*sqrt(704) + sqrt(704) - sqrt(704)) + sqrt(704)))*6.\nAnswer: -18*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5*a**2 - 3*a + 7. Let b be i(2). Let s = b + 30. Suppose -4*o - d + 3*d + 14 = 0, -5*d - 25 = -5*o. Solve 3*h = y - 31 + s, -o*h = -2*y + 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -1. Let o(i) = 4*i - 28. Let u(d) = 2*o(d) - 56*r(d). Calculate u(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**5\/60 + 7*t**2. Let u(s) = s**2. Determine d(u(a)).\nAnswer: a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 469 and 281936?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)\/(sqrt(22)\/sqrt(2)))\/sqrt(4))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**4 - 3*m**4 - 8*m**4 - 14*m**2 wrt m?\nAnswer: -240*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.27 + 11.27. Let c = -9.4 + d. Let v = -290 + 289.9. Which is bigger: v or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2686 - 2933 = 19*b for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 14, -0.4, -1\/3, 0, 15\/34?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 3*z**2 + z. What is the units digit of n(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15434 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-85241)\/(-1040))\/(-83) - -1?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Is -2.5 at least as big as -2\/473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of t**6\/105 + t**5\/35 - 2*t**3\/21 - t**2\/7 + 129*t. Factor m(r).\nAnswer: 2*(r - 1)*(r + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 16*x**6\/15 + x**4\/4 - 20*x - 14. Let z(y) be the first derivative of p(y). What is the third derivative of z(b) wrt b?\nAnswer: 768*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, z: 1, v: 6, y: 8, r: 1}. Give prob of picking 1 z and 1 v.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2366190, -2366191, -2366192?\nAnswer: -2366193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*b + 492 = -293, -b = -4*z + 3149. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)\/(sqrt(5)*2) - sqrt(22))\/sqrt(2) + ((1*sqrt(154))\/sqrt(7))\/sqrt(2) + 5)**2.\nAnswer: 5*sqrt(11) + 111\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 8*n + 6. Let z be o(6). Calculate the remainder when 30 + z\/(-3) + -5 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 4*d - 11. Let u be 8\/10 + (-4602)\/15. Let z = 460 + u. What is the greatest common divisor of z and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3342587 to three dps.\nAnswer: 0.334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + 4*n + 28, -2*f + 5*n + 18 = -4*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33864\/9877*14*(-2)\/8.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*j - 6. Suppose l - 20 = j. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50*a**2 + 11*a**2 - 42*a**2 + 96*a**2 to v + r*a + t*a**2 and give t.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -311, -623, -935, -1247?\n\"Answer: -312*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7528? (a) -0.4 (b) -4 (c) 1 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/896 and 19\/140?\nAnswer: 4480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 3*u**5 + 33*u**4 - 162*u**3 + 258*u**2 - 177*u + 45 = 0?\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/45 of a day?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 252*z**2 - 3. What is y(-1)?\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f - 7*f**2 - f + 4*f + 3*f.\nAnswer: -7*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 5*l**2 + 7*l + 25. What is w(6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/3)\/w*(w*((w\/w**(-11\/3))\/w)\/w)\/w assuming w is positive.\nAnswer: w**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*y**3*z**2 + y**3*z - 59*y**2*z**2 - y*z**2 - 2251*z wrt z.\nAnswer: 6*y**3 - 118*y**2 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7906454 divided by -566?\nAnswer: -13969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -323708 rounded to the nearest 10000?\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-9)*(0 - 6). Suppose -12 = t*g - 5*g + 2*q, -g + q + 7 = 0. Suppose 2*l = -g*l. Solve -2*a + a - 2 = l for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 6*r**2 - r - 3. Let n be b(6). What is the remainder when 1 - (n + 0) - -2 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7200*q - 33942 + 40268 + 4440 = -298834 for q.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1cac4 (base 13) to base 16.\nAnswer: -ddc7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/416 - -835\/1248. Sort q, -0.1, 1\/12 in ascending order.\nAnswer: -0.1, 1\/12, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 29*y**2 - 10 + 12*y**2 + 6*y + 64*y**2 + 3*y + 141*y**2. What are the prime factors of j(2)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*y + 221 + 493. Suppose -2*a - 2 = -6. Suppose -2*i - 24 = -a*j - 0*i, -3*i - 16 = -j. Calculate the remainder when y is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 16, r: 4}. What is prob of picking 1 f and 3 r?\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -86 + 77.1. Let l = u + 9. Which is the closest to -1\/4? (a) -3 (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(180)\/(sqrt(30)\/sqrt(3) + sqrt(10)))\/(sqrt(441) - (sqrt(441) + (sqrt(441) - (sqrt(441) - 4*-1*sqrt(441))))).\nAnswer: -3*sqrt(2)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*m - 59*m + 44*m.\nAnswer: 34*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 + -20. Put t, -7, 5 in decreasing order.\nAnswer: 5, t, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*h + 75*h - 12717 = 0. What is the highest common factor of h and 1296?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (11 + -2 - (-16 - -17)) + 6?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jk when two letters picked without replacement from {k: 1, d: 3, j: 1, b: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/sqrt(192) + 4.\nAnswer: sqrt(2)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*n - b - 3*b, 2*b = -10. Suppose n*d - 5629 + 2210 = 0. Let m = 5 + d. List the prime factors of m.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/(sqrt(7) + 1*sqrt(448) - sqrt(7)))\/(sqrt(288)\/(sqrt(9)*-4 + sqrt(9))).\nAnswer: -3*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(84)*1 - sqrt(84))*1 - -5*((sqrt(84)*1 - sqrt(84)) + sqrt(84)))\/(3*sqrt(192)*-2))**2.\nAnswer: 4375\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.48? (a) -0.21 (b) 5 (c) 0.5 (d) 2\/11 (e) 2\/4867\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -a + 21, -5*k = -2*a - 21 - 2. Let d = -49 - -146\/3. What is the nearest to a in 5, -8, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 + -13. Suppose -f*n + 8 = -17*n. Solve -r - n = 2*j, -r + j - 4 = 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000175453 rounded to 7 dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -122*d**4*o - 6*d*o + 2*o wrt d.\nAnswer: -1464*d**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**2 - 2*c**2 + 3*c**2 + 2 + 5*c**2 - 2 + (2*c**2 - 3*c**2 - c**2)*(0 + 4 - 2) - 6*c**2 + 3*c**2 + 2*c**2 + c**2 - 1 + 1 + 3*c - 3*c + c**2.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nine tenths of a millimeter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eighteen fifths of a gram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2265 and 49793005?\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 403040005 and 2018?\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -l**4\/4 - 5*l**3 - 7*l**2 + 48. Solve z(d) = 0.\nAnswer: -14, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, b: 2, w: 8, e: 2, l: 3, a: 2}. What is prob of picking 1 a, 1 e, and 2 b?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 148 or 3104\/21?\nAnswer: 3104\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/27*3*1\/(-2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164398.\nAnswer: 2, 13, 6323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + o**2 - 2*o - 1110. Let h be y(0). Is 16 a factor of 2\/(-3) - (-1)\/((-18)\/h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 + b60?\nAnswer: b71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 6\/3) + 7. Let t be (4\/f)\/((-6)\/(-27)). Suppose -t*c - 7 = -4*c. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 535937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 3*t = 4*f + 1, f + 2 = -t. Let h be 10 - (3 + -1)*f. What is the highest common divisor of 132 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1672905 divided by 72735\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -620*o**3 + 1862*o**2 + 6194*o - 20.\nAnswer: -2*(o - 5)*(o + 2)*(310*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21747887?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -f**4\/4 - 2*f**3 - f**2 - 9*f + 7. Calculate the lowest common multiple of 2 and j(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11652090 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.0886 + 6\nAnswer: 6.0886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 230.6 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/8 + 201*j**2\/8 + 1179*j\/8 + 1755\/8.\nAnswer: (j + 3)**2*(j + 195)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7 is divided by -3*(-43 + 39)*(-2)\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14 and 1848.02.\nAnswer: -25872.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of 2*i + 1 - 1\/2*i**2 + i**3 - 1\/4*i**4. Give n(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (16 - 4 - 10)*(-25*w + 12*w - 4 + 11*w)*(-3 - 3 + 4) as j*w + y and give y.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) 5 (b) 1 (c) 0.1 (d) -78 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3))\/((-1)\/(-5)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91076559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**5\/60 - m**4\/6 - m**3\/6 - 3*m**2\/2 + 24*m. Let w(q) be the first derivative of y(q). Give w(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 113633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 1 (b) 4 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2461 - -1259. Let l = w - -1196.81. Let o = -0.19 - l. What is the second biggest value in -0.3, 1\/9, o?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103041 a multiple of 370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-3*(-11)\/(-33)). Solve 15*f - 5*f + 50 = c for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-97 + -24 + 7 - -30) + 2.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14100323 (base 5) to base 12\nAnswer: -6b2a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + -3*sqrt(68))*4.\nAnswer: -16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2434*s + 58 = -2*o + 2440*s, 41 = 2*o + 3*s for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3472 by 14.\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from inllxllxxix. What is prob of picking 1 i and 1 x?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 280 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*l + 154*l + 158*l + 163*l - 625*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/7 - 50\/7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.95084245 rounded to two decimal places?\nAnswer: -15.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 38*d**2 - 88*d - 595. Let f be o(35). Let l(r) = 4*r + 5. Let j(q) = -q + 1. Let g(k) = -3*j(k) - l(k). Calculate g(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3955 - 4275664\nAnswer: -4275663.6045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 5*q. Let v(i) = -518*i**2. Calculate v(z(h)).\nAnswer: -12950*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4378 divided by -11?\nAnswer: -398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35627.00000105535 + 35627. What is i rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 880 + -806. Let f be (-555)\/z + (-2)\/(-4). Let t(a) = a**3 + 6*a**2 - 8*a - 10. Determine t(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119649688, 239299370, 358949052, 478598734, 598248416, 717898098?\nAnswer: 837547780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1219182+-0.5\nAnswer: -1219182.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -2*a - 20, -a + 5 - 1 = -2*x for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1.204 (b) 1\/4 (c) -115 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16.43 + 16.4303735. What is v rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47648311?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 679 * 1294.2.\nAnswer: 878761.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/6432 and 83\/60.\nAnswer: 32160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*s - 12*s + 9*s**3 + (-4 + 3 + 2)*(2*s**3 + s - s) + (1 - 5 + 3)*(-2*s**3 + 3*s**3 + s**3).\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k**4 - 278*k**3 + 22073*k**2 - 375040*k + 933888 = 0. Calculate k.\nAnswer: 3, 19, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.613 rounded to one decimal place?\nAnswer: -46.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44379 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -10, -37, -96, -199, -358, -585, -892?\nAnswer: -1291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -6. Let h = -1.7 - 0.3. Let i = m - h. Which is bigger: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -5\/12*i**4 + 0*i - 1\/3*i**3 - 6*i**2 + 0. What is the units digit of p(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174758942 to the power of 1\/2, to the nearest integer?\nAnswer: 13220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-30*(-21)\/315)\/((-15)\/(-6) - 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 23 + -5?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/7337570 and -1\/4.\nAnswer: 14675140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -385, -17, 3 in descending order.\nAnswer: 3, -17, -385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 3867600 = -6*p. Round p to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.17 + 0.149. Round m to 3 decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {o: 1, f: 1, p: 7, h: 5}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 1)\/2*-5. Let q(n) = 6*n**2 + 5*n**3 - 3 - 4*n**3 + 0*n**3 + 4*n. What are the prime factors of q(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 76\/15345 or 0?\nAnswer: 76\/15345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -10.8\nAnswer: -10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 2 = -94. Suppose 15 = k + a. Let x = 13 + -8. Solve -k = x*m + 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*g + 5*h - 269, -142*h + 1 = -141*h for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.06 and 190197.62.\nAnswer: 190197.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 24001, 48005, 72011, 96019, 120029?\n\"Answer: n**2 + 24001*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -495 + 545.4. Let r = 50 - q. Let l = -0.17 + -11.83. What is the nearest to l in -4, r, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - v = 427, 15*y - 19*y + 3*v = 578. Let h = y + 169. Find the common denominator of 48\/7 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 91 + -60. Suppose -30*x = -n*x - 6. Let s be (x\/4)\/(152\/64 + -2). Sort 1, 0, s in decreasing order.\nAnswer: 1, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 18*y + 17*y + 7*y. Let w(q) be the second derivative of q**3\/3 - 2*q + 64. Determine u(w(s)).\nAnswer: 84*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -4. Let a(u) = -u**2 + 50*u - 49. Let b be a(49). Solve b*m = -y*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14.7 - -14.769. Let g = 4.931 + q. Let u be -2 + 9\/((-351)\/(-84)). Sort 1\/4, u, g, 1 in increasing order.\nAnswer: u, 1\/4, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 4983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h - 3*h - h**3 + 9*h**2 - 2*h + 4. Let d be r(5). What is the greatest common divisor of d and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**3\/5 - 27*q**2\/5 - 6*q + 56\/5 = 0.\nAnswer: -2, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27073*y + 26840*y + 3495 = 0 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*l**3 + 49*l**3 - l**3.\nAnswer: 138*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 511.1165 micrograms to tonnes.\nAnswer: 0.0000000005111165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 142 + -142.063. What is m rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - p + 48. Suppose 0 = -5*l + 10, -p - 3 = -o - 3*l. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004203742613 rounded to five decimal places?\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100003 (base 5) to base 4.\nAnswer: -300320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/14 - -4)*-4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -332*y - 991. Determine q(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 230610924 and 179316?\nAnswer: 10548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59698.24 weeks to seconds.\nAnswer: 36105495552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c + 0*c - 3*c)*(-4*c + 5*c - 3*c) + 55*c + 75*c + c**2 + c**2 - 61*c to the form a*c**2 + y*c + t and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 5*c**2 - 114139305*c - 114139310 = 0.\nAnswer: -1, 22827862","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -18988153240 rounded to the nearest one million?\nAnswer: -18988000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89667 = -13864*i - 471929 - 296959 - 194211 for i.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -79*b**2 + 420*b**3 - 83*b**2 + 162*b**2 + 3*b**3 + 3*b**3 + 13*b**3 + (-b - b + 0*b)*(-b**2 + 0 + 0) as y + u*b**2 + k*b + z*b**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 655*q**3 - 8*q**2 + 52*q - 51. Determine h(1).\nAnswer: 648","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -3. Is (d + -9)*(0 - 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 3*m + 34, -t = -m - 0*m + 14. Let b = t + 41. Let i = 42 - b. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27865752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cyy when three letters picked without replacement from dcdycdydyddkcdddddy?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + -2426598.\nAnswer: -2426598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54 and 193.\nAnswer: 10422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 135192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4*l**3 - 30*l**2 - 41*l - 10. Let r be c(-6). Solve 2*a + 4 = 2*g, -g - 3*a = r - 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(931)*-2*1 - sqrt(931)))**2.\nAnswer: 84*sqrt(19) + 8383","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 144\/10 + (-2)\/5. Let f(o) = o**3 + 8*o**2 - 46*o - 74. Let h be f(-5). What is the greatest common divisor of t and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (53\/371)\/((-1)\/2).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 8*f = -9*f + 10, 0 = -4*g - 4*f + 16 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -24.07671 and -22732279.\nAnswer: -22732303.07671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/4 + 1641*z - 213345\/4.\nAnswer: -3*(z - 2155)*(z - 33)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 315.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -18*12\/(-54) - (0 + (-1110)\/3). Put -2, 1, h in descending order.\nAnswer: h, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15.1704 and -0.35?\nAnswer: -5.30964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -45, -3, 0 in ascending order.\nAnswer: -45, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3788 and 2.3.\nAnswer: -3785.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4 = 0, 2*k - 477 = -3*b - k. List the prime factors of b.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 6 + 5)*(-2 + 0 + 1808*f**3 - 1799*f**3).\nAnswer: -18*f**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -269 <= -8577?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence djdd when four letters picked without replacement from tumjdmtmqdtmjmtmdm?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/2 + -34*(-1585)\/(-180). Let b = -2662\/9 - g. Is b at most as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3 + -2*sqrt(1900) - -5*3*sqrt(1900)) + -4.\nAnswer: -10 + 130*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 19497245642038 + -0.02\nAnswer: 19497245642037.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 4:16 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 621?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -7896.1 to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b74 (base 15) in base 12?\nAnswer: -3547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 40*i - 17. Let l(c) = 7*c - 3. Let z(x) = 7*x - 3. Let k(p) = -3*l(p) + 2*z(p). Let y(o) = 34*k(o) + 6*r(o). Let a(d) = -31*d. Give y(a(v)).\nAnswer: -62*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 94*m = 90*m - 6, 4*o - m = 9 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -780 - -1967. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.958 - 0.042. Is -5\/6 >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 50463?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 20 = 2*x, -2*x + 5*q - 5 = -3*x. Suppose -4*u = -4*f - 9*u + 8, -3*u = -f - x. What is the third biggest value in f, 0.2, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5 + 4*4*sqrt(7)*-2 + (sqrt(112)*1 + sqrt(7) + sqrt(7) + -5*-1*sqrt(7))**2 + -4.\nAnswer: -32*sqrt(7) + 837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-2)\/15)\/(30\/(-135))).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7736823 + -1?\nAnswer: 7736822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*u + 35*u = 4. Is 3 a factor of 2\/12 - u*(-424)\/48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2, 3, 6, 11?\n\"Answer: k**2 - 2*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 57, 13, 100 in ascending order.\nAnswer: 0.5, 13, 57, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 31588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.054? (a) 2 (b) 18\/737 (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 71*u**3 - 11*u**2 - 46*u. Let n(i) = -14*i**3 + 2*i**2 + 9*i. Let p(r) = 2*m(r) + 11*n(r). Find the second derivative of p(t) wrt t.\nAnswer: -72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -52? (a) -0.4 (b) 4 (c) 1057\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 348\/82 - 1. Let d = o - -56038\/205. Let y = d - 37999\/140. Calculate the common denominator of y and -109\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1534 - -1579. Calculate the least common multiple of 5 and w.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -277 by 3.\nAnswer: -277\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23850 - -23693.794. Let v = h + 156. What is v rounded to two decimal places?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {q: 1, n: 19}?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/((-2)\/(-960)*-4)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/6)\/(1\/(-54)). Let n = k + -19. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11.829174 + 11.848. Round b to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 6:56 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 263493175 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11001122 (base 3) to base 4.\nAnswer: -232100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91237*c**2\/2 + 45*c\/2 = 0. Calculate c.\nAnswer: 0, 45\/91237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 88 - 70. What is the least common multiple of v and 87?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2)*(-3*f + 3 - 3) + f + f - 4*f + (1 + 1 - 1)*(3*f + 0*f - 4*f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 95, -1, 10.\nAnswer: -1, 10, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.646489371 to 4 dps.\nAnswer: 0.6465","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18845 is divided by 215.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3+701.8882381\nAnswer: 704.8882381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/(-6)*(-3)\/(-2). Suppose -b - 5*a = -19 + 2, -t*a - 11 = -3*b. Calculate the remainder when 25 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ieiziiiifefzffiieze. Give prob of picking 2 f.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -523*a - 2092. Let u be x(-4). Put u, 4, -3, -4, 1 in decreasing order.\nAnswer: 4, 1, u, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 15974, 31964, 47956, 63950, 79946, 95944?\n\"Answer: y**2 + 15987*y - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 414 - (-276 - -579) - (11 - 0 - -2).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27603.5 + 27604. Let o be (-40)\/91 - (-4)\/14. Which is the second smallest value? (a) o (b) 1 (c) n (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -11*o**3\/3 - 2*o**2 + 4*o - 3. Let s(m) = 175*m**2 + 63*m - 63. Give -4*s(z) - 63*y(z).\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 66*x + 70*x - 2)*(27*x**2 - 41*x**2 + 22*x**2) as t + y*x + w*x**2 + g*x**3 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/50)\/(2\/(-4)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 3*y + 0*y)*(5 - 3 - 1)*(253 - 253 + 13*y**2).\nAnswer: 39*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20827831.50000104 - 20827834. Let d = -0.03 - 2.47. Let t = a - d. Round t to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 5*l - 10 = 0. Suppose 2*v = 3*y - 10, 3*y + 4*v - 7 = 9. Solve 8*x - y*x - 4*c = 0, l*c = 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + -10)\/((3 - 9)\/3). Find the third derivative of v**5 - 17*v**5 - p*v**5 + 11*v**2 wrt v.\nAnswer: -1260*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 367 - 186 + 5*p**2 + 10*p - 179 to n*p**2 + j*p + w and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (149\/(62580\/24))\/(4\/50).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110101111 - -10101100001001000?\nAnswer: 10101010010011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 7*x + 13. Let g be f(4). Let i be (-2)\/1 + (-4)\/(-1). Suppose -r = i*t + g, -r - r - 5 = t. Which is smaller: t or 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1831144889?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-6 + 6 - -6) - 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1000011110100111110 (base 2) to base 14\nAnswer: 73366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 + 13*i - 13*i + i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 410 = -925. Suppose x - 1385 = 10*z. Let h = z + 96. Which is the closest to -0.07? (a) h (b) -1 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 17*o**2 - 31*o + 25. Let x be y(15). Let d(r) = 8 - r - 3*r - x. Let k(i) be the first derivative of -i**2\/2 + 2. What is k(d(u))?\nAnswer: 4*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31767?\nAnswer: 3, 10589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3438\/35 - 489\/5. Which is the nearest to 1? (a) -2\/3 (b) t (c) -0.3 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 7*n - 22. Let p be o(5). Let g = 5 + p. Let y = 21 - g. Solve -2*a - 1 = -y for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1932 divided by 966\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n + 0*n + n)*(3*n**2 - 11*n**3 - 3*n**2) + 5*n**4 + 2 + 8*n**4 + 1 as k*n**3 + d*n**2 + i*n + j*n**4 + z and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -12415 (base 8) in base 12?\nAnswer: -3151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 15*m**2 + 15*m - 12. Let z(t) = 13*t**2 + 12*t - 11. What is -4*a(x) + 5*z(x)?\nAnswer: 5*x**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -784.84 + 16?\nAnswer: -768.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-288) + -3 + 148\/48?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3219504.\nAnswer: 2, 3, 67073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -842813 = -31*l - 173244. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5666 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-150)*-1*10\/(-36).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -56, 2 in decreasing order.\nAnswer: 2, -4, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/12*15\/10.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4243400\/(-21))\/7*75. What is z rounded to the nearest 10000?\nAnswer: -2170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*n - 8386 + 84194. Let l = -6117 + n. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/4)\/v)**(-8))**(-6\/11)\/(((v\/v**(-1)*v)\/v)**(-15\/8)\/(v**(-1\/5)*v**(-2\/5)\/v*v)) assuming v is positive.\nAnswer: v**(-507\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 363534027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 82.9768?\nAnswer: 79.9768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1694)\/140 - -12)*-1130. Solve -9 = -r*n + 110*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163957?\nAnswer: 127, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04518751 to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/9 + 44*s\/9 - 80\/9.\nAnswer: -2*(s - 20)*(s - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 11010110110?\nAnswer: 11010110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 399378865 to the nearest integer?\nAnswer: 19984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4*s**3 + 2*s**2 + s. Let i be h(-1). Let x be ((-144)\/(-66) - 2) + (-64)\/110. Let n = 0.1 + -0.6. What is the second smallest value in i, n, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 10278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 2:23 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**3 + 4*u**2 - 3*u - 3. Let x be a(-2). Suppose -b - 1 = x*q, -5*q - 3*b = -2*q + 9. What is the least common multiple of q and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14\/((-112)\/(-6))*-540*-1 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10893*j - 27*j**3 + 61*j**3 - 19*j**3 - 25*j**3.\nAnswer: -10*j**3 + 10893*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 31*m**2 - 184*m - 110. Calculate s(-36).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 21, 12, 5 in descending order.\nAnswer: 21, 12, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2211496237?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 18, 67, 198, 453, 874, 1503?\n\"Answer: 7*h**3 - h**2 + 3*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2 + 1 + 4*s**2 + s - s**2. Let o be z(-2). Let h(r) = 1. Let x(y) = -y - 2. Let k(p) = -5*h(p) - 2*x(p). What is k(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-18)*(-13)\/(338\/(-117))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -5. Suppose 0 = 2*c - o - 58. Let g be ((-4)\/c)\/(8\/(-12)). Put g, 2, 0.1 in decreasing order.\nAnswer: 2, g, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 29554222 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.3 = -4638?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3924\/(-109)*(-1)\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102104 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 143\/5 in 0.1, 0.9, 6, 1\/2, -0.4, 12\/11?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80213423 by -80213423.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.95*-0.44.\nAnswer: -0.418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1328*h + 1019*h - 1 - 2803*h to l + g*h and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21211, 180, -12, -2.\nAnswer: -12, -2, 180, 21211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + y**2 - 6 + 6.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 1322*b - 1317*b, 5*f - 3*b - 38 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/7 or 32680314?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5b8c (base 13) to base 11\nAnswer: -9812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1481?\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 130123 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/2 and 63\/3926.\nAnswer: 3926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1209423, -1209326, -1209229, -1209132, -1209035, -1208938?\n\"Answer: 97*y - 1209520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0501466596 to six dps.\nAnswer: 0.050147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 6*g + 3. Let o be j(6). Suppose -o*d + 5*m - 55 = 0, 87 = -3*d - m - 2*m. What is d rounded to zero dps?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 6 + 17*v + 0 - 16*v.\nAnswer: v + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.5 (b) -0.2 (c) 3\/7 (d) 0.036\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72873444?\nAnswer: 2, 3, 7, 867541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7430.338 litres to millilitres.\nAnswer: 7430338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -529\/158 - -116693\/36340. Calculate the common denominator of q and 53\/506.\nAnswer: 5060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-48))\/((-91)\/(-56)).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3656001 (base 7) to base 8\nAnswer: 1621615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -83.53 (c) 169\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100001 (base 2) in base 6?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -5*c - 5*i, 2*c - i = -2*i - 16. What is the units digit of 18\/((-2)\/c*3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/8206 and -97\/688?\nAnswer: 2822864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 5:25 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43923*n**4 - 1009503*n**3 - 16695*n**2 - 69*n = 0. Calculate n.\nAnswer: -1\/121, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(-2)\/(-1)*1\/(-2). Suppose b = -4*h - h + 1395. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**9\/(t\/(t\/(t\/(t*t\/t**2)))*t)**(5\/2) assuming t is positive.\nAnswer: t**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8805?\nAnswer: 3, 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hahlalhlh. Give prob of picking 2 a and 1 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 0 - 5\/12*k**4 - 7\/20*k**5 - 2*k**2 - 4*k + 8\/3*k**3. Determine q, given that x(q) = 0.\nAnswer: -2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1583?\nAnswer: 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y + 2. Let o(i) = -9*i - 9. Let x(w) = -w - 1. Let f(t) = 3*o(t) - 24*x(t). Suppose -17 = -5*r - 5*c + 3, 4*c = -5*r + 19. Give r*f(d) + 4*j(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 8 + 2, -70 = -2*i - 2*j. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 divided by -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -86 + 144. What is the greatest common divisor of u and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*o + 8 = 0, -k + 3*k - 2*o - 10 = 0. Which is bigger: 4 or k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 0 (b) -1\/2 (c) 1 (d) -1.759 (e) -16 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 z, and 1 q when three letters picked without replacement from uuzmmuqjjmm.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 16*j**2 - 2. Let k be s(4). Suppose 0 = -5*o + 7*o - k. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 7*y - 3. Let a be u(-8). Let m(f) = 2*f**2 - a*f**2 + 2*f**2. Let r(k) be the first derivative of k**3 + 5. Calculate m(r(o)).\nAnswer: -9*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 72, -0.5, -180, -554, -4 in descending order.\nAnswer: 72, -0.5, -4, -180, -554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -6559b?\nAnswer: 6559b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16 or 282714?\nAnswer: 282714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3029 a factor of 34424585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 477310 is divided by 12900.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.329412 rounded to three decimal places?\nAnswer: 3.329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005026 to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -14*u + 4*u**2 - 6*u**2 + 14 - 9*u**2 - 17. Let l(z) = -11*z + 3*z**2 - 10*z**2 - 2 + 2*z. Calculate -8*l(n) + 5*r(n).\nAnswer: n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -30 - 8. 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: What is next in -162, -233, -306, -381?\nAnswer: -458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32815.39 nanograms in kilograms?\nAnswer: 0.00000003281539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9398*o**5 - 2*o**3 - 57*o**2 + 3*o - 18939*o**5 + 3*o**4 + 9451*o**5 wrt o.\nAnswer: -5400*o**2 + 72*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*c + 21*s - 25*s - 132, 7*s = 4*c - 41 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/13832 and -11\/54796.\nAnswer: 1424696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 17, 25, 37, 53, 73?\n\"Answer: 2*s**2 + 2*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-41)\/(-3321)*-270*4\/(-10).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2425 and 6849.\nAnswer: 1660.8825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 281 + -279. What is the nearest to -0.002 in z, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -3136?\nAnswer: -3131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 7*r - 106. Let h(g) = -22*g + 356. Let u(v) = -3*h(v) - 10*s(v). Let l(c) = 43*c**2. What is u(l(x))?\nAnswer: -172*x**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 2*p - 0*p. Suppose 5*b + p = z + 2*z, -4*b - 20 = -3*z. Let g = z - 7. Which is smaller: g or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 45 = -2*t. Let w(b) = -35*b**2 - 15*b. Let r(q) be the second derivative of 3*q**4\/4 + 2*q**3\/3 + 663*q. Give t*r(u) + 4*w(u).\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - v - 3 = -0*r, 4*r = 4*v + 20 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-70) + 3 + -3. Let o = 32\/105 + g. Which is greater: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 - 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**3 - t**2 + t + 1. What is r(2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -10\/7 (b) 3 (c) -5\/261767 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2 + 4. What is the greatest common factor of 8 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-23)\/(u**23*u))\/(u**(4\/13)\/(u\/(u*u**(-21)))) assuming u is positive.\nAnswer: u**(-342\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2 = 2. Suppose -t*v = 3*c - 14, 2*c + 5*v = -0*c + 14. Solve 0*y = -c*y - 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**3 + 3*n**2 - 3*n + 3. What is q(3)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4384893720 to the nearest one hundred thousand.\nAnswer: 4384900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + p**2 + 47*p - 34. Give f(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 69*o. Suppose 400 = 4*q + l, 3*q = 8*q + 3*l - 500. Let h(t) = 46*t - q*t + 54*t + t**2. Give h(r(d)).\nAnswer: 4761*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - h**2. Let d(o) be the first derivative of 1\/2*o**2 + 7\/4*o**4 - 2*o - 5\/3*o**3 + 3. Suppose 3*s - 2*s = 5. Give s*n(v) - d(v).\nAnswer: -2*v**3 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54648 and 990?\nAnswer: 273240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -0.1, -0.02, 0.5, -1\/5.\nAnswer: -1\/5, -0.1, -0.02, 0.5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2 (b) 3 (c) 4\/53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**7\/1260 - w**6\/180 + w**4\/3 + w. Let g(o) be the third derivative of r(o). Factor g(t).\nAnswer: 2*t*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -31760 and -50?\nAnswer: 1588000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/18*(-6)\/4. Suppose -2 = 3*x - b*x + 3*v, -4*v = x + 1. Let f = 1261 - 29001\/23. What is the nearest to 1 in 1\/3, f, x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-105)\/14*(-6)\/(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - ((-11 - 0) + 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 8. Let m = v - -26. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 106361390?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-204)\/90 - (-546)\/210\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**2 - 4*i**2 + 0*i**2 + (3*i - 1 + 1)*(-47*i - 64*i - 1 + 196*i) to the form h*i + n*i**2 + u and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**2 + 5*c + 8. Determine t(9).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k + 10. Let s be n(-10). Let b = s + 3. Let y(x) = 0*x + x + 0*x - b + 0*x. Calculate y(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 14342794?\nAnswer: 14342791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 114868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1225453 (base 6) to base 11.\nAnswer: -456a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-2)*(-20)\/30.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g = 15*g - 30 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -92 - -1014\/11. Let f = 0.003 - 1.003. Which is the nearest to f? (a) -1 (b) 1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o + 4 = 9*o. Suppose -5*m - 26 = -4*t, 5*t - m = o*t + 6. Which is the closest to 0? (a) 0 (b) 37 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -119, 7, -3, -6, 4 in decreasing order.\nAnswer: 7, 4, -3, -6, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 5*t + 37. Let p be r(-9). Suppose p = 5*v - 2*m + 6, 0 = -v + 3*m + 12. Let n(x) = 2*x**2 + 3*x - 2. Calculate n(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*j**4*k**2 - 94*j**3*k**3 - 6*k**3 wrt j?\nAnswer: -52*j**3*k**2 - 282*j**2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1*b)**4*b**(2\/27)*(b\/b**1)\/b assuming b is positive.\nAnswer: b**(191\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/14 and 37\/1049038456?\nAnswer: 7343269192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87213.25ml to litres.\nAnswer: 87.21325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/10)\/((-99)\/1485). Solve -22*k - 32 = 5*d - o*k, 0 = -3*d - 3*k - 21 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 9 = -x. Suppose 2*o - 11 = -x*l + 7*l, -o - l = -3. Is o even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 11, 2\/5, 45821.\nAnswer: -2\/9, 2\/5, 11, 45821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 16830183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10656.5 - 1579722544.\nAnswer: -1579733200.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l**2 + 321*l - 2300. Let j be d(8). Let y = 3 + -7. Let m be -1 + y\/(8\/(-6)). Is m less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34.29 - -34. Let l = q - 1.06. Let u = l + 2. Round u to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.195043537 to five dps.\nAnswer: -0.19504","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 128091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2)\/z**(-5))\/((z*z\/z**(1\/6))\/(z\/(z**(3\/8)*z)))*(z*z**(2\/5))**28*z**(-5\/6)*z*z*z**1\/z assuming z is positive.\nAnswer: z**(4939\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -c30a (base 14) in base 9?\nAnswer: -50881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5*g + 36, 0*r - 4*r = -4*g + 24. Solve -4*c - c - 2*x + 1 = 0, 0 = c + 4*x + g for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222322*z + 3*z**3 - 222322*z.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002668 rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 8*d - d)*(-162*d**2 + 54*d**2 + 78*d**2).\nAnswer: -90*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2*q + 18 = 3*d, -5*d = -q - 37. Let b(g) = -2*g**2 + 0*g - 8*g + d*g. Let y(u) be the third derivative of u**4\/12 + 3*u**2. What is y(b(c))?\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + -4 - (-12 + -1). Suppose -4*n = -a - 3. Let w be 124\/6 + n\/(-6). Solve 3*x = -x + w for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 137 + -138. Let b = -8 + 11. Suppose -4*a - b*p = 11, 2*p = p + 3. Sort -3, a, y in descending order.\nAnswer: y, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -675 + 681. Let u be (-2)\/4*2*-6. Solve 4*h - x*h + u = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**2 + 10*u - 10*u**2 + 4*u**2 as j + v*u**2 + t*u and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 4 + 8 - 12*c**2.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 5:37 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -1. Let v be -584 + 596 + (-14)\/20*17. Suppose 1\/5*m + 0 + 1\/10*m**r - v*m**3 = 0. What is m?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -137 and 2.006685.\nAnswer: -274.915845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 + (17 - -7) + (21 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k + 23*k = 118. Calculate the remainder when k is divided by 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from smss. Give prob of sequence sm.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4868132 - 6?\nAnswer: -4868138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210200201 - -1?\nAnswer: 210200202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l**2 + 3*l**2 - 4*l**2 + l**2 + 0*l**2 + 0*l**2 + (0 + 2 + 0)*(1 - 2*l**2 - 1) + 4*l**2 - 3*l**2 + 52 - 51 to h + x*l + a*l**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 7040193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7\/4 + 3\/2. Let q = 21.769 + 0.131. Let a = q - 17.9. What is the third smallest value in a, l, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 16*d + 36. Does 12 divide n(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1*-6*sqrt(88)*-1*1)\/(sqrt(96)\/(sqrt(72)\/sqrt(6)) + 1*sqrt(288)).\nAnswer: 6*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-3)\/6))\/1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394*g = 91*g - 9393 for g.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 726387 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/469 + 24394\/1407. Calculate the common denominator of b and -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3240)\/2970*(-44)\/(-200).\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*s**4\/2 - 321*s**3\/2 - 171*s**2 + 258*s + 84 = 0. What is s?\nAnswer: -14, -2, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*x - 23*x = -4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 5*h + 23 - 131, 5*h = 5*l + 100. Suppose -2 = 2*x, 7*b - 2*b + 4*x + 839 = 0. Let m = b + 239. Calculate the remainder when m is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 9*n**3 - 27*n**2 + 10*n - 1. Let z be w(3). Solve 119 = -z*p - 26 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2486.8 - -2487.1. Which is the closest to 11? (a) k (b) 1 (c) -19 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.03 + 0.026. Let p = -0.996 + z. Which is the nearest to p? (a) -1\/3 (b) 0.3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*g = 31*g + 16887. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1692 or 52458\/31?\nAnswer: 52458\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1086*g*q**3 + 42*g*q - 1020*g + q**3 - 412*q**2 - 27*q wrt q.\nAnswer: 6516*g*q + 6*q - 824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 163 + -123. Let t be l\/12*9\/(-6) - -215005. Round t to the nearest 10000.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/5 of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3479*z - 3484*z - 73*z**2 + 6963*z.\nAnswer: -73*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -o**8\/26880 + o**7\/1344 - o**6\/240 - 13*o**5\/60 - 5*o**2. Let d(y) be the third derivative of w(y). Factor d(u).\nAnswer: -3*(u - 4)*(u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - -2 - 5)\/((-7)\/(-14)). Let s(i) = 1257536*i**2 + i - 1. Let j be s(2). Suppose -t*r + 1529855 = -j. Round r to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 395.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -2\/35, -0.3, -0.18 in descending order.\nAnswer: 2, 0, -2\/35, -0.18, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -17, -5, -0.88, 9 in increasing order.\nAnswer: -30, -17, -5, -0.88, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 - -38. Suppose 2*a = -a + b. Solve -a*c = -5*c - 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 4 = -3*r - 25, -41 = -3*q - r. Let a(m) = m**2 - 9*m - 10. Let u be a(q). Suppose -u = -2*y + y. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, f: 14}. What is prob of sequence fffl?\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*w**2 - 1 + 33*w**2 - 26*w**2 + 14*w**3 - w + 8*w**2 to the form b*w**3 + i*w + c + f*w**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -66 - -66.3. Let s = -0.55 + 0.05. Sort f, 4, s in decreasing order.\nAnswer: 4, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 b when two letters picked without replacement from jbjjbjjjjjjjjbj?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 222 + 5?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b = -x - 161, 16*b + 2*x - 224 = -109 + 319 for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 78218 + 5?\nAnswer: 78224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 981\/7 + -139. Let o = -1\/7109 - 14213\/35545. What is the nearest to o in z, -0.2, -2\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -839\/1390 - -1\/278. Which is the nearest to 3? (a) 2 (b) 1 (c) u (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**5 - 175*l**4 + 4288*l**3 + 288020*l**2 + 3430336*l + 10599680 = 0.\nAnswer: -14, -5, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 256717967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 168*r**3 - 2*r**2 + 1. Let h = -2 - -1. Let k be d(h). Let q = k - -307. What is q rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 2*k**2 - 2*k + 4. Let z be i(0). What is the tens digit of (-1 - -1 - -2)*314\/z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9039*t + 9 - 8677*t)*((3*t + 4*t - 6*t)*(3 - 4 + 3) - t + 0*t + 3*t + 5*t + t - 4*t + t + 4*t - 4*t).\nAnswer: 2534*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 14553 divided by 1996\nAnswer: 14553\/1996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/8 - 57\/392. What is the second biggest value in -2, -5, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 5 - 5)*(4*f + 5*f - f).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-39)\/(-21) + 1\/7. Suppose r = -3*c + 2*c - 133, 4*r = -c - 118. Put x, c, -1 in decreasing order.\nAnswer: x, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.573 + 0.26915.\nAnswer: 2.84215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**3 - 8*g**2 + 38*g + 17. Determine q(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -35*b**3 + b**2 + 2*b + 1. Let s = 45 - 26. What is the remainder when o(-1) is divided by s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(-3 + 1 - 1)*(-2 + 1 + 3)*(2 - q - 2)*(-30 - 17*q**3 + 30).\nAnswer: -204*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25476 or -25383?\nAnswer: -25476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**6\/280 - g**5\/140 - 5*g**4\/7 + 8*g**3 + 2192*g**2. Let n(c) = 0. Calculate c.\nAnswer: -7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*b**2 + 8*b**3 - 38*b**2 + (0*b + 4*b - 2*b)*(2 - 2 - b**2) + 8*b**3 + 3 - 3 to g*b**3 + s + h*b**2 + y*b and give g.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21158773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3141, 6273, 9401, 12525, 15645, 18761, 21873?\n\"Answer: -2*w**2 + 3138*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 i when four letters picked without replacement from {s: 5, i: 2, c: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11019952?\nAnswer: 2, 688747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5114256 and 60760.\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 7*c - 2. Let i be 1\/(-1) + (5 - 1). Let r(w) = 3*w**2 + 21*w - 7. Let u(p) = i*r(p) - 8*o(p). Let s be u(-6). Which is bigger: s or -12?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of 13*i**6\/720 - i**5\/120 - i**4\/4 - 9*i**2. Let t(y) be the second derivative of u(y). Does 12 divide t(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/(-50)*8\/3.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 3:47 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**3 + 7*o**2 - 10*o + 1. Let a(c) = -c**3 - 4*c**2 + 5*c. Let v(z) = -5*a(z) - 3*j(z). Factor v(f).\nAnswer: -(f - 1)**2*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kty when three letters picked without replacement from ykytyyyyiiyitiyi.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 42877571 to the power of 1\/2, to the nearest integer?\nAnswer: 6548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 + 12479. Let i(g) = -9*g + 2. Calculate i(p(z)).\nAnswer: -18*z**2 - 112309","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 32\/17 - (-10)\/85. Let d be l\/5 + ((-48)\/(-30))\/(-4). Is d not equal to -8\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/30 and 71\/13458.\nAnswer: 67290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b - 2021204?\nAnswer: -2021213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63850506?\nAnswer: 2, 3, 281, 37871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g**2 + g**2 + g**2)*(-3 - 2 + 3)*(67 + 5 + 27) to i*g + m*g**2 + u and give m.\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9639 - 9627. Solve -u*v = 27*v + 195 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 829?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 3.8.\nAnswer: -0.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*p + 4382 - 6972 = 0 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*t - 3*l, -6 = 2*t - 0*t + 4*l. Let h = 11 - t. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*d**3 + 1506*d**2 + 952661 wrt d.\nAnswer: -36*d**2 + 3012*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-637 + 1957 + 141 + 3348)*(-3*o**2 + 4*o**2 - 3*o + 0*o**2).\nAnswer: 4809*o**2 - 14427*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*v - 54416066. Let s = -15223172 + v. Suppose -p + 2*o - s = -4584871, 0 = -3*p - 5*o - 22200025. Round p to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.02, -4, -1\/108, -0.1, -19?\nAnswer: -1\/108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 5*l + 0*l)*(4*l**2 - l**2 + 0*l**2) - 2*l**2 + 2*l**2 - l**3.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 829*r**3 - 416*r**3 - 415*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 432 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10200220211010 (base 3) in base 7?\nAnswer: 22500564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17718 - -17717.9999963794. What is p rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 + 1 + 3*t**3 + t**3)*(-6*t + 5*t + 5*t).\nAnswer: 8*t**4 + 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1220 and 11956.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*x = 316, x + 171 = 4*b - 153. Let r be 34\/255 + (-2 - (-823)\/15). Let a = r + b. What is the greatest common divisor of a and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112478 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 316*n - 8*n**2 + 232*n + 4*n**2 - 548*n.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -0*n. Let s = 10 + -12. Is n smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28*(-13)\/(-728) - 7\/2. Suppose 6*s = 11*s - 175. Put -2, p, s in increasing order.\nAnswer: p, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 h, and 1 x when four letters picked without replacement from {h: 2, x: 3, s: 7}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -14*b**3 + b**2 + 4. Let k(n) = 31*n**3 - 3*n**2 + n - 10. Give -2*k(i) - 5*o(i).\nAnswer: 8*i**3 + i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40)*-1)\/sqrt(5))\/(sqrt(4) - sqrt(144)\/sqrt(4) - sqrt(4)).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21934 = -3736*m - 67730 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -0.1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 6.4, 321, -0.06 in ascending order.\nAnswer: -0.06, 6.4, 321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1473768 divided by 6823.\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/5)*w**(3\/4))**(2\/69)\/((w*w*w\/w**(2\/11)*w*w*w*w*w**(-4\/9))\/((w*w**(-2\/9)*w)\/w**(1\/6))) assuming w is positive.\nAnswer: w**(-2341\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + sqrt(12)\/sqrt(16)).\nAnswer: -15 + 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 15*d**2 + 5. Let a be q(-15). Suppose -4*x + 2*t - 2 = 0, -3*t + 5 = a*x - 4*t. Suppose 0*h + h - 84 = -s, -3*s = -x*h - 267. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -12435.\nAnswer: 1243.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 6:47 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, a: 14}. What is prob of picking 1 f and 1 a?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xobxbbbbboobwbbo. Give prob of picking 1 o, 2 b, and 1 w.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 18*q**2 + 31*q - 13. Let v be p(-16). Suppose 3*i - 2*c - 6 = 8, -v*c - 22 = -5*i. Solve i*b + 0 = 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**3 - 18*f + 18. Let n(t) = t - 1. Give 72*n(h) + 4*p(h).\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 26\/8 + (-27)\/(-36). Suppose 2*d = d + p. Solve -2*c - 2*c = 3*w + 29, -4*w = d*c + 32 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4*j**3 - 9*j**2 - 5*j. Let u(l) = -5*l**3 + 10*l**2 + 6*l. Determine -6*i(m) - 5*u(m).\nAnswer: m**3 + 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4*c + 1)*(0 - 3 + 1) - 8*c + 51*c - 7*c in the form g + y*c and give y.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 3 - -1) + (2 - -5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16839.63 - -0.135.\nAnswer: 16839.765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**3\/5 + 1526*x**2\/5 - 21528*x = 0.\nAnswer: -828, 0, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 52?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 x when three letters picked without replacement from zxzxxxxxxxxxxxxxxxxx?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 55*d**2 - 2297*d - 528. What is i(42)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 2)\/(1 - (-10)\/(-4)). Suppose -3413 = -g - 5*b, 2*g = 6*g + s*b - 13724. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q - 2410 + 2424, 3*d - 2*q - 14 = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - -1 - (-3 - -1). Differentiate -q*k + 4*k - 4*k + 4*k + 2 with respect to k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 186.1 - 185.6. What is the smallest value in 2\/5, -7\/62, v?\nAnswer: -7\/62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.35 + -9.449.\nAnswer: -17.799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 32663?\nAnswer: 32661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 11*a - 9. Let u be l(12). What is the units digit of 2\/u*(4 + 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -b**6\/2 - b**4\/4 + 30*b. Find the third derivative of h(w) wrt w.\nAnswer: -360*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r + 1. Suppose -3*d - 69 = 11*x - 14*x, 55 = x - 5*d. Let j(m) be the first derivative of 1\/2*m**2 - m + x. What is 6*c(p) + 5*j(p)?\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 150231196 to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 29*l - 171. Let g be f(6). Sort 0.4, -2, g, -4 in descending order.\nAnswer: g, 0.4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express u**2 + 274507*u - 274507*u + 19*u**3 in the form z*u + d + o*u**3 + i*u**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p + 1. Suppose 0 = -3*g + 3*w + 51, 0 = w - 0 + 5. Suppose 0 = -m + g*m + 22. Let v(i) = 2*i - 1. Calculate m*v(t) - 3*a(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 + 861*g + g**2 - 861*g to f*g**2 + z*g + o and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1538459.\nAnswer: 13, 118343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2630.943 minutes in seconds?\nAnswer: 157856.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 12, q: 7}. What is prob of picking 3 j?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2211 - 2212.87. What is the second biggest value in -2\/13, -1\/6, b?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s**2 - 3*s - 4. Let x = 44 - 15. Suppose 5*j + x = 4. Let o(t) = -2*t**2 - 2*t - 2. What is j*o(n) + 3*c(n)?\nAnswer: -2*n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 195 and 245353719?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.9 - 5.84. Let j = -663783 + 663782.93999952. Let f = u + j. Round f to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 138, 273, 408, 543?\nAnswer: 678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 - 35. Suppose -72 = -t*k - 24. Suppose 12*v = 13*v - k. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 38, -0.1, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 92.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/15*((-2508)\/48 - -51).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 451 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/3 and -52\/147.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 107347806?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {t: 1, x: 4, j: 4, m: 5, k: 4, e: 1}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -316, -320, -326, -334, -344?\nAnswer: -356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + o - 1 = -0*u, 3*u - 3*o - 33 = 0. Let z be (-6)\/(-21) - 2\/7. Suppose 4*m - m = -3*q + 27, -3*m + u = z. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 + 1*(-1 - 2). Suppose -4*p = 2*i - i + 7, -19 = -t*i + 3*p. Let j = -1 + i. Solve -6 = -2*x + j*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 2290?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1427 and -20945?\nAnswer: -29888515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 131*p**2 + 10*p**2 + 0*p**3 + 3*p**3 + 178*p**2 + 26*p**3 wrt p?\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r, 4*v + 6*r = -0*v + 8*r + 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {h: 8, f: 1, k: 11}.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/13, -10, 1, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 16*q + 5. What is the tens digit of j(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/2 and 63\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**3\/j)*j*j**(-7))**(-2\/15) assuming j is positive.\nAnswer: j**(14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42 - 410?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 727881 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 276 - 93 = 0. List the prime factors of q.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4 + 83*c**3 + 1619*c**2 - 3483*c + 1782.\nAnswer: -(c - 99)*(c - 1)**2*(c + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b1 + 0?\nAnswer: -1b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i + 2*i**2 + 1138 - 573 - 566. Suppose 0 = 5*v - 2*v + 3. What is j(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18290 and 589.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2013576?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, i: 2, q: 1, u: 1}. Give prob of picking 1 q and 1 i.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*n**2 + 31*n**2 + 86*n**2.\nAnswer: 78*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*g**5 - 17*g**4 - 59213*g**2 wrt g?\nAnswer: -1380*g**2 - 408*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37)\/(-111)*-1*(-36)\/8.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19210 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -569 - -303. Let f(h) = -h**3 + 10*h**2 + 128*h - 10. Let b be f(15). Let v = l + b. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/28 + (-226)\/7. Let i = 60 + o. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 109, 258, 507, 856, 1305, 1854, 2503?\n\"Answer: 50*b**2 - b + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15\/20)\/((-81)\/48) - 0. Suppose 2*v + v + 3 = 0. Which is bigger: r or v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, z: 3, a: 1, j: 4, c: 2, b: 1}. What is prob of picking 3 j?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -130*x + 39. Is w(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 3*l**2 + 6*l - 6. Let h be q(-6). Let j = h + -46. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*g + 41 = -4*h, -7*h + 4*g = -12*h + 8. Solve h*z + 27 = 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f - 1. Let w be q(-2). Suppose 31 - 43 = -2*x. Find the third derivative of z**x - 4*z**w + 3*z**2 + 4*z**5 + 0*z**2 wrt z.\nAnswer: 120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 35, -4\/5, -0.5 in descending order.\nAnswer: 35, -0.5, -4\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15988 divided by 874?\nAnswer: 7994\/437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 2885 = -1157 + 1254. Is u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 2 = -13 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (168 - 168 - 22*g**2)*(-45 + 25*g + 45)*(1 + 0 - 2).\nAnswer: 550*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 13252?\nAnswer: -5\/13252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372107761.\nAnswer: 19, 19584619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 4588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(1\/5))**(-1\/5) assuming d is positive.\nAnswer: d**(-6\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.4423*-44.\nAnswer: 503.4612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, 0.6, -1\/18, 9 in decreasing order.\nAnswer: 9, 0.9, 0.6, -1\/18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -23. Let k = n - -41. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*i**2 - 9*i**2 - 2 + 2*i**3 - i**4 + 0*i**4 + 15*i**2 in the form f + b*i + t*i**2 + c*i**3 + a*i**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -0.484987\nAnswer: -1.454961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/4 + 45\/12. Let b be (-13)\/(-4) + (-1)\/p. Suppose 0*z - 456000 = b*z. What is z rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 9. Which is smaller: c or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*u**3 - 703*u**2 - 7734*u + 3 wrt u.\nAnswer: -60*u - 1406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85 and 355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -i + 10. Let w = 0 - -3. What is the second derivative of -i*g**w - g - g + g**3 wrt g?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 6*i - 18. Let x(k) = k**3 - 8*k**2 + 25*k - 29. Let q be x(4). Give r(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 418265315961+-2.5\nAnswer: 418265315958.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from dsdohhsdsd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*w**2 - 11169 + 11169.\nAnswer: -119*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1021 is divided by 150?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*(-9)\/(-9)*1\/(-2). Let v be 7 + (-1330)\/150 - (-2)\/(-15). Let r be (-2 + 4 - 7)\/1. Sort t, r, v, 2 in descending order.\nAnswer: t, 2, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20699 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-30)*-6*(13\/(-14) + 2)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7203.13mm?\nAnswer: 7203130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s. Let w(g) = 74*g**2 - 2*g - 10. Let z(q) = 10507*q**2 - 285*q - 1425. Let i(f) = -285*w(f) + 2*z(f). Give i(j(d)).\nAnswer: -76*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 + 0*r**2 - r**2)*(2 - 2 - 2*r**2) - 2266*r**3 - 2297*r**3 + 4563*r**3 - 9496*r**4.\nAnswer: -9492*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 632 and 0.10042.\nAnswer: 632.10042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -16*v + 33. Calculate the remainder when 117 is divided by c(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/27*18\/4. Suppose -208 = -r*j - 2*j. Suppose -14*x - j = -16*x. What is the remainder when 50 is divided by x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2407, -4798, -7177, -9544, -11899, -14242?\n\"Answer: 6*w**2 - 2409*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 35638635, 35638649, 35638673, 35638707, 35638751, 35638805?\n\"Answer: 5*g**2 - g + 35638631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 71*(7 + -3 + -3). Let f = k - 48. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -l**2 - 91. Suppose 2*x - 4 = -4*p, 4*x - 5*p - 4 - 4 = 0. Let k(h) = -61*h**2 + 26*h**2 + 22*h**x + 68*h**2. Give k(o(d)).\nAnswer: 220*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (-5)\/(-5) - -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 42, -2.\nAnswer: -18, -2, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1025 + 1697. Calculate the highest common factor of a and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-473)\/86*(-18236)\/(-1034).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25474 and 27642.\nAnswer: 1299174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 - 37. Let k = -70 + 70. Put n, 5, k, 3 in ascending order.\nAnswer: k, n, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 1, 2\/5, -431?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 12:44 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 18*r - 80. Let x be c(4). Solve a = -7*l + 4*l - x, 0 = 3*a + 4*l + 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - (-31 + 36 + -48)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -2 - 10 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12276 + -11740. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -196073 less than -1.7025461?\nAnswer: 196071.2974539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*w + 159451 + 375149 = 0. Is 60 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3*v = 155, -y + 6*v + 31 = 2*v. What are the prime factors of y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*((sqrt(13) - (sqrt(208) + sqrt(13)))**2 + -2) + (5 + (sqrt(832) - sqrt(832)*-3) - sqrt(832))**2 + -4.\nAnswer: 240*sqrt(13) + 7924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4479*m**2*n**3*u*v + 51*m**2*u + 7*m*n**3 + n**3*u**2 - 3*n*u**2*v wrt v.\nAnswer: -4479*m**2*n**3*u - 3*n*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 4*x - 9*r + 351, -3*r = x + 75. Let y = x + -135. Are -219 and y nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474 is divided by 159.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.4346*114\nAnswer: 49.5444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1309)\/(-374)*(-1 - -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*a*q*w**3 + 59*a*q*w + 2*a*w**3*y - q*w**3*y + 5*q*w**2*y - 12*w**3*y + w**2*y wrt a.\nAnswer: -5*q*w**3 + 59*q*w + 2*w**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 6*x**2 - 5*x - 5. Give u(-6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -12*t**2 - 10*t - 4. Let o(q) = -q**2 - q. Let i(p) = -2*d(p) + 22*o(p). Let v be i(5). Suppose 0 = 51*j - v*j - 57. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18a4 + 0?\nAnswer: 18a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q = -59 - 61. What is the greatest common divisor of q and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16165.849 + 15886.1. Let z = 280 + d. What is z rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 2*o + 264. Let w be i(-14). Calculate the highest common factor of w and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and 111481.012.\nAnswer: 1114.81012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -744 divided by 8.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1586 - -971.1. Are c and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1580 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.26? (a) 8754 (b) 2 (c) 3 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 403 - 1016 + 337 = 0 for g.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3011 (base 7) to base 4\nAnswer: -100031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -18. Let x = 3 - f. Let n = 20 + 0. What is the smallest common multiple of n and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -466*z**2. Let t(b) = -b**2 - b. Determine i(v) - t(v).\nAnswer: -465*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-10)*v*v)\/v**(-2\/7))\/(v**(-1\/2)*v**(-2)))**28 assuming v is positive.\nAnswer: v**(-146)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 7 - 2. Suppose 3*g = 2*g. Suppose g = 4*i - n + 11, -10 = -i - 5*n + 3. Put 6, i, t in decreasing order.\nAnswer: 6, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l + 348 = 12*l. Suppose 8*n - 5*n - 2*s - 254 = 0, 5*s + l = 4*n. List the prime factors of n.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 + 134 = -15*j - 216. Which is smaller: j or 33?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 + 30. Let m be f\/(16\/(-17436)) - 3. Suppose -4*z = -m - 2444. Round z to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, l: 11}. Give prob of picking 1 w and 1 l.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*l + 4*l. Which is the nearest to -12? (a) l (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 667760497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 235*s - 206*s + 174 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -364292 divided by 91073\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 378 and 98.\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 2.3, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4*q + 12, 3*q = -c - 3*c + 7. Let v be ((-1)\/c)\/((-8)\/(-16)). What is the common denominator of (639\/(-66))\/(v*-3) and 59\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 + 137. Suppose 2*a = -r + 67, 3*r - 96 - q = 5*a. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 + -28904482.5.\nAnswer: -28904462.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 167, 0.14, 0.5, -0.01, 3\/5 in descending order.\nAnswer: 167, 2, 3\/5, 0.5, 0.14, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k - 1. Let q(y) = y. Give 4*a(d) + q(d).\nAnswer: 5*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51714917 and 464.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 184573*v + 4798249. What is y(26)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -273*d + 7097. Let a be o(26). What is the nearest to -1\/4 in a, 2, 708?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33036245?\nAnswer: 5, 11, 600659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283109.\nAnswer: 89, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -655007553*s**4 + 1258777160 wrt s.\nAnswer: -2620030212*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 13*l**2 + 10*l - 19. Let g be a(3). Solve 5*r = g - 103 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 9530*h - 104834. Give i(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c + 15*c + 34 - 190 = 0. Let x(s) = s + 14. Let j be x(-9). Suppose -y - 10 = -3*f, -2*f - f = -4*y + j. Which is bigger: c or f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - 6. Let s = c - -15. What is the remainder when (s + 3)*2\/(-4) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5848 * 133.76.\nAnswer: -782228.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o - 46. Let y be c(20). Let k be -2160*1500\/y*93. Round k to the nearest 100000.\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -b**4\/12 + 5*b**2 + 1599*b. Let n(r) be the second derivative of -7*r**4\/4 + r**2 - 3*r. Determine n(s(c)).\nAnswer: -84*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39\/709459129 + 75630475188157\/66568550074070. Let f = i + 1\/4265. Find the common denominator of f and 139\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-1.73.\nAnswer: -6.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + -13. Suppose 5*a = f - m, -5*a + 33 + 15 = 2*f. Let i = 70 - f. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 220, 888, 2004, 3568?\nAnswer: 5580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/7 (b) -0.84 (c) 10.9 (d) -0.07 (e) 11 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4717 is divided by 121.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(3 - 3 + z)*(-2080*z**2 + 16382*z**2 - 381*z**2).\nAnswer: 27842*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q + q - 14*q + (-4*q + 0*q + 2*q)*(-8 - 4 - 5) - 4*q + 0*q + 3*q.\nAnswer: 19*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - -88159386?\nAnswer: 88159385.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -299, -6, -7, -298 in descending order.\nAnswer: -6, -7, -298, -299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 + 194*p - 269815*p**3 - 194*p.\nAnswer: -269815*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19312 is divided by 53.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000091 to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -61*m**5\/60 - m**3\/3 + 45451*m**2. Suppose 0 = -w - w + 4. Let c(a) = w*a**2 - a + a. Determine c(i(l)).\nAnswer: 7442*l**4 + 488*l**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**8\/56 - 41*t**4\/24 + 16*t**2. What is the second derivative of z(q) wrt q?\nAnswer: -120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -168, -285, -422, -585, -780?\nAnswer: -1013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-340)\/(-90) - (-2)\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 19 = -289. Suppose b + 3*t + 2*t - y = 0, 411 = 5*b - t. Calculate the remainder when b is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 33 = -2*n, -2*x - 4*n + 7 = -11. Let v(s) = -2*s + 21. What is the remainder when x is divided by v(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 74580, 149157, 223734?\n\"Answer: 74577*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, c: 7, p: 1, f: 2, t: 1}. Give prob of sequence fpf.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61998437.\nAnswer: 41, 109, 13873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -12 - (1 - (-3284)\/(-252)). Which is the second biggest value? (a) 13\/5 (b) 4 (c) p (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 2:02 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z**2 - 33*z = 0 for z.\nAnswer: -11\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhtdhhithdzh. Give prob of sequence zh.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*r - 64 = 74*r. Let i(j) = j + 1. Let x be i(3). Is (127\/(-2))\/(r\/x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**4 + 91*b**3*u**2 - 3*u**2 + 319*u with respect to b.\nAnswer: 4*b**3 + 273*b**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4775674 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1699.0088 + 1703. Let f = 4 - b. Round f to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.824044s in minutes?\nAnswer: 0.3970674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9500, -9502, -9504, -9506, -9508?\n\"Answer: -2*d - 9498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 8*t**2 - t - 3. Let i be q(-8). Solve -5*c = -o + 3, -i*c - o + 9 = 2*o for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/102 and -59\/6.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y\/y**20))\/(y*y*y**(4\/3)) assuming y is positive.\nAnswer: y**(47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -237 less than 10000957?\nAnswer: 10001194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -165*d. Let l(c) = 162*c - 1. Give -2*l(g) - 3*m(g).\nAnswer: 171*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 672, 512, 272, -30, -376?\n\"Answer: 3*o**3 - 58*o**2 - 7*o + 734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 132*g + 1213. Calculate the remainder when 70 is divided by s(-9).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-six sevenths of a week?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-418*w**4 + 976*w**4 - 836*w**4)*(-6 + w + 6)*(-2 - 3 + 3).\nAnswer: 556*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 583?\nAnswer: 583.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14177035.\nAnswer: 5, 97, 29231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3502.2 and -0.2.\nAnswer: -700.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4*i = 21499, 14332 = -0*y + 2*y + 2*i. Let s = y + -3722. Let r = s - 2349. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 702269 divided by -1.\nAnswer: -702269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 + 21010*a**2 + 84008*a.\nAnswer: 2*a*(a + 4)*(a + 10501)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1080 - 3412\/3. Let x = d - -58. Which is greater: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/9)\/(4\/(-6)). Let x be 2\/f + 4 + -2. Put x, 2, -3 in increasing order.\nAnswer: -3, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3*y**2\/2 + 87*y + 372 = 0.\nAnswer: -4, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2495458 at most -2495459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 1:42 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-10))\/(576\/192)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6470, 59958, 207512, 496166, 972954, 1684910, 2679068, 4002462?\nAnswer: 5702126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -149, -462, -1065, -2054, -3525, -5574?\nAnswer: -8297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42505 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -97 and 355.61?\nAnswer: -34494.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000 + -1?\nAnswer: -101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3 + (sqrt(252)*-2 + sqrt(252) - sqrt(252)) + sqrt(252) - (-4 + 3 + sqrt(252)))*-2)**2.\nAnswer: 1728*sqrt(7) + 36432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2 - 13. Calculate the smallest common multiple of s\/2*8\/(-5) and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2757 = 5*j, 21*s - 2772 = -5*j + 25*s. Suppose -5*d + 1313 = -j. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8 + 0\/(-3) + -3. Suppose 0 = -d*h + 19 + 16. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -58 - 419*u**2 - 8273*u - 13 + 8275*u wrt u.\nAnswer: -838","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*2*sqrt(77) - (sqrt(77)*1*-6 + sqrt(77)))*-6)\/(2*(sqrt(441)*-1 - sqrt(441))\/sqrt(7)).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2. Let y(w) = 17*w. Let a(g) = g**2 + g. Let l = 18 - 17. Let c(q) = l*y(q) - 17*a(q). Give v(c(k)).\nAnswer: -578*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1375 + c25d?\nAnswer: acc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*t = 272*t - 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10989 and 20313.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -48383.5004 rounded to the nearest ten?\nAnswer: -48380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -4*r + 320, 102 + 2 = a + 4*r. Suppose 5*t = 8*t - a. Let s = t - 30. Calculate the highest common divisor of s and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -20410, -20362, -20266, -20116, -19906?\n\"Answer: f**3 + 18*f**2 - 13*f - 20416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 427 - 417. Suppose -6*s - 612 = -z*s. Calculate the remainder when s is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**2 + 6*o - 6. Let z = 144 + -141. Determine g(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 44 in 0, -17, 49, 0.1?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111, 122, 145, 186, 251, 346, 477?\nAnswer: 650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 4:52 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y. Let n(c) = 105 - 6*c - 105. Determine z(n(t)).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1898153, 3796305, 5694457, 7592609?\nAnswer: 9490761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j + 18415 - 5915 = 0. Is j a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26169 + 26170.2271. What is m rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/405 and 31\/135.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 3:10 PM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - d**2 + d - 5. Let j(u) = -4*u + 15 - 4*u - 9 - u**2. Let m be j(-9). Let r be z(m). Solve -2*k - r = -0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 4\/53 (b) 5 (c) -5 (d) 4\/5 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 7*j**2 + 11*j + 17. What are the prime factors of d(-9)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -169, -5, -0.2 in ascending order.\nAnswer: -169, -5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 50 + (-2 - -6)\/(-2). Let h = -27\/421 + 46375\/7578. Find the common denominator of (-6)\/(-9) + 358\/v and h.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 15*v**2 + 36*v + 45. Let f(u) = -8*u**2 - 18*u - 22. Let x(d) = -9*f(d) - 5*l(d). Factor x(t).\nAnswer: -3*(t + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(1300) - 3*sqrt(1300)) + 3 + 4 + (-2 + sqrt(1300) - sqrt(1300)) + 0 + (sqrt(1300) - (sqrt(1300) - 1*(sqrt(1300) + 1))))**2.\nAnswer: -1336 + 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 576*m - 576*m - 37*m**2 - 204*m**2 as f*m**2 + z + q*m and give f.\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 2\/3*u**3 + 172 + 0*u**2 + 5*u. Let k(b) = 4*b. Give f(k(g)).\nAnswer: 32*g**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + h**2 - h + 2. Suppose -12 = -3*x - 3*c, -3*x = 2*x + c - 12. Let p be n(x). Solve 5*t - 37 + p = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -2. Let q = 4 + -2. Let v(a) = 3*a**2 - q - 4*a**2 + 2*a - 3*a. What is v(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3478078 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -313.572.\nAnswer: 31.3572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3296 + 6771. Calculate the highest common divisor of q and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a hour in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -623049735 divided by 1435?\nAnswer: -434181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59701 and 227?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -237 - 265883?\nAnswer: -26600a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -341*g - 309*g + 520*g**3 - 519*g**3 + 86*g - 641*g.\nAnswer: g**3 - 1205*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -3f?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/263 (b) 1244 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 3 + 7. Suppose -8 = 3*j - 5*j. Suppose h*x - x + 159992 = j*g, 0 = -2*g + 3*x + 79994. What is g rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 8*q + 3. Let n be ((-8)\/5)\/(4\/(-20)). Calculate the remainder when 5 is divided by s(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - ((3 - 0) + 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 9:46 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -1\/24*q**6 - 5\/12*q**5 + 0*q**4 + 2*q**2 + 53 + 0*q**3 + 0*q. Determine k so that w(k) = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 25301?\nAnswer: 25310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 4*u**2 - 4*u - 28. Give l(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 1) + -1 + (7 - -134). What is the remainder when 54 is divided by 8\/28 - q\/(-7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 1 - 10*z - 10*z + 15*z + z**3 - 5*z**2 + 0*z**3. Let i be 11 + -1 + 1 + -1. Let w = i - 4. Calculate u(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -82, -165, 0.2, -1 in descending order.\nAnswer: 0.2, -1, -21, -82, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 559170, 4, -5 in descending order.\nAnswer: 559170, 22, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 0*x - 3*n - 31, 4*x + 36 = -4*n. Let a = 1100 + -1099. Calculate the common denominator of a + 15 + ((-1)\/x)\/1 and -3\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {j: 1, q: 2, w: 2, a: 4, o: 1, p: 5}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.07 or -151570?\nAnswer: -151570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*s - 3*s - 3*s)*(242*s**2 - 673 - 678 - 676 + 2030 + (1 - 2*s - 1)*(27 + 11*s - 27)) to the form t*s**3 + b + g*s**2 + u*s and give t.\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60 - -33. Let i = 0.0818 + -105.1818. Let n = i + 104.1. Which is smaller: k or n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -0.5 (b) 417 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2 + 4. Let t = r + -3. Let g(f) = -3*f**3 + 3*f**2 - 7*f - 12. Let k(s) = -4*s**3 + 5*s**2 - 11*s - 18. Let v(x) = 7*g(x) - 5*k(x). What is v(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -76 - 20*(-42580)\/11200?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*c - 95 = 0, 5*q + 116 = 5*c - 6*c. Let u(i) = -20*i + 94. What is the units digit of u(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (284 - 575 + 291 - 3812*r)*(-3 - 2 - 3) to w*r + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -31928 (b) 1\/4 (c) -5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0428526 + 1491089287.\nAnswer: 1491089286.9571474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, 1\/4, 0, 3002, 2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 - 163. Let h = -116 - r. What is the remainder when h is divided by (1 - 3)*78\/(-4)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 43384720?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 974389?\nAnswer: 13, 17, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, a: 3, t: 1}. What is prob of picking 1 t, 1 a, and 1 l?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 155, 329, 591, 953, 1427?\nAnswer: 2025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 f when four letters picked without replacement from {n: 9, f: 9}.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*p + 3*p + p)*(1 + 4 - 3)*(38 - 19 + 11) as f + t*p and give t.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8579225 + -42432075\nAnswer: -51011300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32*((-4)\/18 + (-171)\/324) and 2\/213?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6675370 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = d - 12. Let t be -2 + d + -1 + 1. Let r be t*(-4)\/(-24)*-2. Put -1, r, 0 in descending order.\nAnswer: 0, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326979539 is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 times 0.15?\nAnswer: 3.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1992 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1071832486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**3 - 4*o**3 - 3*o**3 + (-8*o + o - 4*o)*(4*o + o**2 - 3*o + o**2).\nAnswer: -27*o**3 - 11*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hhhhhhhkhhk?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-225)\/25*(10\/9)\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 + -33. Let n = 9275 + -9377. Put p, n, 4 in decreasing order.\nAnswer: 4, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3504049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 859f (base 16) to base 15.\nAnswer: a207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -4\/21721 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 11*g**2 + 5*g - 21. What is the tens digit of w(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 146.24 - -3.76. Let h = -149.9999917 + i. What is h rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3957*u - 4862*u - 2766*u + 2069*u = 599508 for u.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 10 = 2*j, 3*j + 0*j - 21 = -r. Suppose 3*h + p = 85, -4*h = 4*p + p - 106. Calculate the remainder when h is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u - 6. Let w be (24\/(-111))\/4 + (-20679)\/4181. Let h(y) = -4*y + 7. Let p = -10 - -4. Determine p*m(g) + w*h(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**3 + 3*a**4 - 2*a**4 + 8*a - 15*a + 5*a to s*a**4 + h*a**3 + n + j*a**2 + b*a and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 9:22 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c - 1. Let k(y) = -6*y + 1. Let g(f) = -k(f) + 5*n(f). Let a be g(6). Solve -2 = 2*t - a for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eaewhhhxxhehaqe. Give prob of picking 1 x, 1 h, and 1 a.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 440, 1547, 3140, 5009, 6944, 8735?\n\"Answer: -35*s**3 + 453*s**2 - 7*s + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2966 from 16811639.\nAnswer: 16808673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53925704*d**3*n**3 - 7068*d**3*n**2 + 3516*n**2 wrt n.\nAnswer: 323554224*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12312 + 22455?\nAnswer: 35100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -2 - 5\/2*j**2 + 2\/3*j**3 - 7*j. List the prime factors of f(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -o - 4860 - 18444, 5*w + o = 58239. What is the highest common factor of w and 132?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 150805 to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**2. Let m be l(-1). Let z(w) = 0 - 1 - 3 - 2 - m*w. List the prime factors of z(-7).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 31. Suppose -v = 8*t - 14*t. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of u**4\/12 + 207*u. Let p(g) = -4*g**2 - 1. Calculate o(p(v)).\nAnswer: 16*v**4 + 8*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27 by -9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 416 + -207. Let y = -1669\/8 + v. Let o = -0.02 + -4.98. Which is the nearest to y? (a) o (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -4*d - 4, 2*d + 8 = -3*y. Let m be 3*(-1 - 0)*y. Suppose -3*t + 7*j + 28 = 2*j, m = t - j. Solve -t - 14 = -3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 0.017635025.\nAnswer: 0.03527005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -bb675c1?\nAnswer: bb675c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -650 (base 13) to base 8.\nAnswer: -2067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -20889*q**2 - 41*q - 41. Let x(v) = -6962*v**2 - 14*v - 14. Give -14*g(w) + 41*x(w).\nAnswer: 7004*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 10) + 19 - (11 + -24)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13597 take away -4524.6?\nAnswer: -9072.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 42*w**5 - w**3 + 2*w**2 + 10*w - 197. Let d(u) = -u**3 + u**2 + u + 1. Let i(p) = a(p) + 2*d(p). What is the second derivative of i(o) wrt o?\nAnswer: 840*o**3 - 18*o + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79903279.\nAnswer: 1381, 57859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -261, -241, -223, -207, -193, -181?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*17\nAnswer: -1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 16 = -48. What is the greatest common divisor of i and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bexb when four letters picked without replacement from exbbeexe?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does -17\/65374 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 0.1 (c) -659 (d) 1.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 134, 259, 388, 521, 658, 799, 944?\n\"Answer: 2*p**2 + 119*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 36 = 4*k, -3*b + 529 = 5*k + 575 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/97, -1\/1233, -1.56 in ascending order.\nAnswer: -1.56, -1\/1233, 4\/97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.38, 5\/2, -0.1, 5 in decreasing order.\nAnswer: 5, 5\/2, 0.38, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1695 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -13932 divided by -6\nAnswer: 2322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 61\nAnswer: 3\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2572*q**2 - 26*q + 50. Let o(c) = 2569*c**2 + 23*c - 50. Let j(v) = 5*l(v) + 6*o(v). Find the second derivative of j(r) wrt r.\nAnswer: 5108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 28\/9 of a hour?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 6*y**2 + 2*y + 4. Let g be m(-2). Which is greater: 25 or g?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - 0 - 0) + -3 + 24 + 2 - -4.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1572?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**3*x**3 - 2*c**3*x**2 + 77*c**3*x - 61*c**2*x**3 - 2*c*x wrt x.\nAnswer: 6*c**3 - 366*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/121165205 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 2*u**2 - 7*u + 16. What is x(5)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -783*j + 742. Give q(2).\nAnswer: -824","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -142243022?\nAnswer: -142243025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 2\/19 (c) 5 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/10*6\/(-36)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 187513904 and 176?\nAnswer: 2062652944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -9 + 12 + (-2)\/4*11. Let o = 675 - 674.7. Put 0.048, t, o in ascending order.\nAnswer: t, 0.048, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - w - 15 = 0, 8863*x + 5*w = 8859*x - 11 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189625976 = 39*y + 1485985976. Round y to the nearest 1000000.\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -13. Suppose -d - 1 = 0, -3*o + d + t = -o. Put o, 3, 1 in ascending order.\nAnswer: o, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 288, 290, 292, 294?\nAnswer: 296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 + -18. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42.5 times 1.581\nAnswer: 67.1925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16843 + 40581 = 16*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2458771294 a multiple of 2076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23 and 33051?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41a (base 14) in base 2?\nAnswer: 1100101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 m, and 1 t when four letters picked without replacement from mmmtrcr.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*c - 4*f = -9*c - 242, 0 = -2*c + 5*f - 93 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 554.09 + -558. Let o = -0.09 + f. What is the closest to 0.2 in o, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 20*i**2 + 1. Determine k(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 16*f**2 - 23*f + 35. Give d(17).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 156 = 2*d. Suppose 111 = 15*c - 189. Calculate the remainder when d is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 2*d + 5*a, -3*a + 6*a = 3. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.66 - 1.34. Let k = 0 - -0.1. Which is greater: r or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51.3 - -51. Which is the third smallest value? (a) s (b) 0.07 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 59 = 53 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6c (base 15) to base 6.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k - 5*k - 6*k)*(-9 + 50 + 5) to j*k + s and give j.\nAnswer: -644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*w = 0. Suppose 2*y = -0*h - 2*h + 6, w = -4*h. Suppose -y*d + 6 = -3. Sort -1, d, 0 in ascending order.\nAnswer: -1, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + p**2 - p + 108. Determine t(0).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10, -2, 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z + 3. Let b be o(0). Suppose 4*y - 10 = b*y. Does 2 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2. Let o(k) be the second derivative of 16*k**3\/3 - 3*k**2\/2 + 297*k. What is o(z(t))?\nAnswer: 64*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35411?\nAnswer: 17, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g + 0*g**2 + 11*g**2 - 25*g**2 + 11*g**2 + 5*g.\nAnswer: -3*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -2)*(-1 - 0). Let g = u + 5. Let t(m) = -2*m - 6. Let w(k) = -3*k - 11. Let s(p) = g*w(p) - 5*t(p). Determine s(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22 - 42?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 20 = 6*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 858732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + (-252)\/(-1440)*-70 - (3 - -1)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/3 + (-16)\/(-6). Let n be 12 + -14 + 1*r. Solve n = -2*l - l - 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and 0.05005922.\nAnswer: 4.05005922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10242 divided by 3?\nAnswer: 3414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -10*(-2)\/5 + 35?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 11*g - 12. Let v be 7\/(((-3)\/2)\/3). List the prime factors of n(v).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*v**2*z**2 + 2*v**2*z - 3138574*v**2 - 3*v*z**2 - 184926*v*z - 7*v - 3*z**2 - z + 1 wrt v?\nAnswer: -20*z**2 + 4*z - 6277148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h**2 + 234*h + 100325. Determine g(-148).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 45*k + 2. Let h be x(-45). Solve 7*b - 5*b = -4*t, -h*b = 5*t for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -1219935*f**2. Let c(q) = -3*q. Determine c(j(r)).\nAnswer: 3659805*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*b - 30 = 0, 2*b - 11 + 3 = 0. Let s(r) = -r**2 + 14*r - 36. Let l be s(x). Solve 0 = -4*v + 16 - l for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -c**7\/280 + c**6\/96 + c**5\/120 + 3*c**2. Let n(i) = 0. Calculate i.\nAnswer: -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 7*y**2 + 9*y + 8. Let x = -29 + 11. Let q = -24 - x. Give d(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90872 is divided by 162?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1294156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 60366252785 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/7 - (-76)\/28. Suppose -2*p = 5*g + 1, 0 = 2*p + 3*g - 4 + 7. Is p equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 23 - (-15 + 38)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 158724.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*h - 823 = -30 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -3 (c) -1\/3 (d) -61\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 0, 0*j - 4*x = -3*j - 12. Is 66\/j*8\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -541039.9 + 58320.9. Let j = p - -482712.99986. Let m = 6 + j. What is m rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/35 greater than 51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + o**2 + o + 4. Let r = -183 - -177. Let w be 0*(-2 - 9\/r). Give d(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 c, and 2 g when four letters picked without replacement from llaclggcsl?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - s + 32 = y, 0 = -4*y + 5*s + 170. Is y a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24\/192 + (93\/24 - 1). Solve -w*p + 2*b = 6, 2*p = -3*p - 4*b + 12 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -32046, -65143, -98238, -131331, -164422, -197511, -230598?\n\"Answer: s**2 - 33100*s + 1053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -10023?\nAnswer: -10022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77 + -383\/5. Let t = -5 - -10. Which is the second biggest value? (a) h (b) t (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/437 and -16\/115?\nAnswer: 2185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**2 + 7*k - 5. Let n be l(4). Let m = n - -20. Calculate the greatest common divisor of m and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.485 + -330.485. Let w = y + 325. What is the second biggest value in -4, 0.5, -6, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3763?\nAnswer: 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-144) - 19539\/48. Let n = t + 445. Let c(q) = 3*q**2 - 3*q + 2. Let b be c(-3). Calculate the greatest common factor of b and n.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z = 5*l + 138, -10*z - 2*l = -5*z + 39 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**5\/4 + 5*f**4\/2 + 27*f**3\/4 - 8*f**2 - 13*f + 12 = 0. What is f?\nAnswer: -2, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3 = -3*o, -3*o + 3*d + 2 + 1 = 0. Calculate the least common multiple of 0 - (-5)\/(5\/3) and (-8)\/5*-5*o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319765002.\nAnswer: 2, 3, 17, 389, 8059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153151.\nAnswer: 153151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.942 - -0.058. Let q = l + 6. Let b = q - 19.37. Round b to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 + -33. Let n(y) be the second derivative of -y + 0*y**d + 0 + 1\/6*y**4 + 0*y**3. Let c(i) = i. Determine c(n(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 18 = -3*g + 2, 5*g = -l + 26. Suppose -5*p = 5*b - 8530, 4*b - 2315 - 6218 = -g*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence db when two letters picked without replacement from {a: 1, b: 1, k: 8, d: 5, v: 2}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 567 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 290 - 370. Calculate the remainder when v is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**3\/13 + 55804*f**2\/13 + 388813986*f\/13 - 6235317792\/13 = 0.\nAnswer: -13959, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -875 + 875.000000791. Round u to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -37, -9, 27?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 13 + ((-28)\/(-4) - 0). Is 101\/5 <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1935090, -3870182, -5805274?\n\"Answer: -1935092*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 6 = 2*p. Let m(g) = 2*g + 4. Let k be m(p). Factor 3\/2*i**5 - 3*i**4 - 3\/2*i + 0*i**3 + 3*i**k + 0.\nAnswer: 3*i*(i - 1)**3*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -46652, -46656, -46660, -46664, -46668, -46672?\n\"Answer: -4*i - 46648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2333 and 0.4.\nAnswer: -933.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8220885 to the power of 1\/2, to the nearest integer?\nAnswer: 2867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1047852 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: What is 38235 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, l: 2, y: 1, q: 2, c: 2, e: 1}. Give prob of picking 1 e and 2 l.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.34 - -0.66. Let a = 2 + 0. Let g = a + t. Sort 3, -4, g in decreasing order.\nAnswer: g, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*g - 4*d + 2, 5*d + 30 = 0. What is the closest to g in -5, -10, 5, -2\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 18*p**2 - 11 + 2*p**2 + p**2 - 4*p**2 + (-p - p + 4*p)*(-p + 0 + 0) + 4*p**2 - 4*p**2 - 2*p**2 + p + 2*p**2 - p to h*p + v + r*p**2 and give r.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.0212654+0.06316\nAnswer: 0.0418946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.28805 * 0.4.\nAnswer: 0.11522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, -1\/3, 24, -1, 1\/2 in increasing order.\nAnswer: -1, -1\/3, 1\/2, 3, 6, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, u: 4, e: 1, t: 2, b: 2}. What is prob of picking 2 b and 2 u?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48*f**3 - 3656*f**2 + f**3 + 3639*f**2 + 2*f**4 + (2*f**4 + 0*f + 0*f)*(1 - 3 + 4).\nAnswer: 6*f**4 - 47*f**3 - 17*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.3 and 0.282.\nAnswer: -0.3666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -150265 greater than or equal to -450794\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjnjnjjjjn. Give prob of sequence jn.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 + 0*n**2 + 106 - 102*n + 355 + 406.\nAnswer: 3*(n - 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200855?\nAnswer: 5, 17, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -615 - 465 = -8*s. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 43, 60, 75?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -171470 rounded to the nearest one thousand?\nAnswer: -171000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1003210211 - -11133?\nAnswer: 1003222010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o\/o**(-3))\/o)*o)\/o*o\/(o\/(o\/(o**(-2\/5)*o))))\/(o**(-1\/6)*o**(2\/3)*o)*(o**(-4\/13)\/(((o\/(o*o*o\/o**(-3)*o))\/o)\/o))**(-10) assuming o is positive.\nAnswer: o**(-10403\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 532 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q. Let o(j) = 3*j + 2 + 15*j + 5*j. Determine -o(x) + 5*u(x).\nAnswer: -28*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 * 2.5574002.\nAnswer: -0.102296008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -c + 4*d, 9 - 2 = 3*c + 4*d for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 2*n - 4, n = 4*g + 2*n - 9. Let i be g\/(1\/(-2)*-2). Let f(w) = 4*w - 3. What is f(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -96*y + 94*y + 6. Suppose -3*m + 34 = 2*s, -y*m + 58 = -s + 21. What is the greatest common factor of 42 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/5 + (3 + -2 - 1). Suppose -46 = -u + i. Suppose -10*r = -9*r - u. Is r a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.427 + -2.427. Which is the closest to 0.017? (a) -1 (b) 0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1486.\nAnswer: 2, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0749 - 27.9251. Which is the nearest to -0.1? (a) 6 (b) q (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 500170 = 37*v + 18*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 250*d**2 + 6*d + 6. Let t(c) = -c**2 - c - 1. Determine n(b) + 6*t(b).\nAnswer: 244*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/200 and 196\/16*(-8)\/128?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17949, 17835, 17801, 17889, 18141, 18599, 19305, 20301?\nAnswer: 21629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17*d + 13 - 13)*(4*d - 3 + 3) in the form h + z*d + v*d**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 9*b + 2. Let a be o(-9). Suppose -5*l - 15 = 0, l + 41 = a*n - 300. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (sqrt(117) + 3*2*sqrt(117)))\/(-1*sqrt(27)\/sqrt(3)) + (sqrt(26)\/sqrt(2)*-6 + sqrt(156)\/(1*sqrt(12)))*-3)**2.\nAnswer: 5733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -191 + 2?\nAnswer: -18b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2226 is divided by 631.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*r + 104*r - 7476*r**2 - 47*r + 254*r**2.\nAnswer: -7222*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 + 5*t - 4. Let b(w) = 7*w**2 + 34*w - 2. Let x be b(-5). What is z(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19099 = -630*w - 2719 for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 459750, 919507, 1379302, 1839153, 2299078, 2759095, 3219222?\n\"Answer: 3*q**3 + q**2 + 459733*q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1 (b) 3 (c) 2\/139 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*h - 9*h - 2*h + h to r*h + o and give r.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 386 = 65*j + 2*x, -10197*j + 2*x - 20 = -5098*j - 5103*j - 0*x for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 7:39 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 1172 + 753. Let m = -180 + w. Is m a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z + 22. Let w be v(7). Which is the nearest to -1\/3? (a) -4 (b) 5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 863 divide 8794833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 5:43 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6711375 by -2237125.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3260968?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 9. Let u = j + -3. Let w be 1\/(-1) + (-7 - -4). Which is the second biggest value? (a) 3 (b) w (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 270445546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = p + 3*p, 2*p = 4*d - 22 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83227188?\nAnswer: 2, 3, 11, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.49 in 3, -0.3, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42624?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2. Let r(f) = -324*f**2. Give q(r(p)).\nAnswer: 209952*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 464 is divided by 78?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44 - -45) + (2 + 3 - 18)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*s - 86*s - 23 = 2*g, -18 = 6*g + 4*s for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 10 = -2*a, a - 1 - 6 = -o. Solve 2 = -g + 4*p, 4*g + o*p + 0*p = -8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a century in months?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 1:27 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 9 = 5*v + 1, -2 = 3*m + v. Let i(y) = y**3 + m*y**3 - 6*y + 1359 - 1363 + 2*y**2. Calculate i(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 4*g**2 - 22128*g - 13513140 = 0.\nAnswer: -555, 6087","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 4*s**3 + 6312*s**2 + 6308*s = 0.\nAnswer: -1577, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2952 and 328?\nAnswer: 2952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(4\/9)*m*(m\/(m\/m**(-8\/3)))\/m*m**(16\/7)*m*m**28 assuming m is positive.\nAnswer: m**(1838\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -9773607978 less than 10849?\nAnswer: 9773618827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 39*k**2 - 13*k - 7. Let w(b) = 13*b**2 - 4*b - 2. Determine 2*o(f) - 7*w(f).\nAnswer: -13*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 984.2224 litres to millilitres.\nAnswer: 984222.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -542*m**5*n + 2*m**3*z + 2*m**2*n - m*n - 3*m - 20*n*z wrt m?\nAnswer: -10840*m**3*n + 12*m*z + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 - 28. Put 6, p, -0.03 in decreasing order.\nAnswer: 6, -0.03, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*x**5 - 47*x**2 - 2 + 37*x**2 + 6 wrt x?\nAnswer: -300*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -15*c**3 - 5*c**2 - c + 25. Let y(u) = 14*u**3 + 4*u**2 + u - 21. Let o(i) = 5*p(i) + 6*y(i). Calculate o(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 352108924*o - 491717046 wrt o?\nAnswer: 352108924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccl when three letters picked without replacement from {l: 11, c: 5, m: 1}?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**3 - 22*w**3 - w**3 + (-w**2 + 4*w**2 - w**2)*(-6*w + 0*w + 2*w).\nAnswer: -30*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -353, -322, -259, -158, -13, 182, 433, 746?\nAnswer: 1127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 254083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 575934740?\nAnswer: 2, 5, 31, 928927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*h - 3*f - 27 = -16*h, 0 = 4*h + 2*f + 28 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55 - -217. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47410563?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 81035.97 litres?\nAnswer: 81035970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7262?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -219057477*z**4 - 2*z**2 + 33410*z + 594?\nAnswer: -2628689724*z**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 9 + 9 = 0. Suppose -21 = -3*l + 3*f, 5*f - 2*f - 42 = -4*l. Calculate the highest common factor of j and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + 33.595398.\nAnswer: 30.595398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 9*l + 1. Let y be t(3). Suppose 2*z**5 - 25*z**4 + z**2 - 3*z**2 - 3*z**3 + y*z**4 = 0. What is z?\nAnswer: -2, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-18)*(-2 - -3). Let q = 0.89 - 0.806. Let l = -0.016 - q. What is the nearest to -1 in b, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, q: 2, u: 1, h: 1, t: 1, a: 2}. What is prob of sequence qqta?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 8*k**2 - 19*k - 10. Let x be y(10). Let p be (-9)\/18 + 1*2. Sort x, 4, p in descending order.\nAnswer: 4, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 6*n**2 + 9*n - 11. Suppose 0 = 5*g - 10*g + 40. Does 31 divide z(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000035753 rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 952578617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1735957, 3471885, 5207813?\nAnswer: 6943741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 461843, 461841, 461849, 461873, 461919?\n\"Answer: z**3 - z**2 - 6*z + 461849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4806 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 26*v**2 + 10*v + 140. Let r be m(28). Calculate the greatest common factor of r and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-880)\/(-160)*(-12)\/(-11). Solve -20*j = -18*j + d for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 43\/286?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*c = c + 326, -155 = -t - 3*c. Is 29 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (-106140)\/(-48) - (2\/8 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1230 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 6. Suppose l*y + 0*y - 15 = 0. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -273, -305, -337, -369?\nAnswer: -401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-2)*(-4)\/110*2.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (294 - 294 - 52*o**2 + 2*o + 3*o**2 - 2*o + (0 + 0 - 2)*(0 - o**2 + 0))*(-3 + 3 + 2*o) to a + w*o**3 + k*o + b*o**2 and give w.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -1\/20*h**5 + 0 - 5\/6*h**3 - 5*h + 7\/12*h**4 - 7\/2*h**2. Let k be x(6). Put 2, k, 4 in decreasing order.\nAnswer: 4, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q + 8. Let a(j) = -1. Give -4*a(z) - v(z).\nAnswer: -z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58 - -139. Let c(g) = 219*g - 3 - o*g - 75*g - 76*g - g**2 - 3. Determine c(-10).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2329001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from vvvimivvi?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2. Let u(l) = -l**2 - 230. What is x(u(o))?\nAnswer: -o**4 - 460*o**2 - 52900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 14 = -6*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pi when two letters picked without replacement from {p: 2, i: 2, t: 1, h: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15.4424 + 14.4424. Let v = 0 + -1. Let m = v - 0. Which is the nearest to m? (a) 0.1 (b) r (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**3\/2 + 3*h**2 - 7*h. Let w(o) = o**2 - 4. Let f be w(0). Let x(t) = -4*t - 6. Let q(j) = f*x(j) - 5*b(j). What is q(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) -0.2 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-15)*(-1050)\/50)\/(7\/(147\/(-6)))?\nAnswer: 49\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 721.19 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 169583, 339142, 508701, 678260, 847819, 1017378?\n\"Answer: 169559*l + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -426, -55, 3, 11, 2\/9, -3?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1536 and 12831488.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -n - 4*h - 3, 4*n - 3*h - 123 = 0. What is the remainder when 521 is divided by n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 7*p**2 + 8*p - 3. Let j = -40 + 34. Let q = 2 - j. What is d(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w + 133 - 133.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 1. Let w(j) = j**2 - 2. Let n(q) = 2*u(q) - w(q). Let i(s) be the first derivative of s**2 - 2. Give i(n(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -t - 14, 5*w + 2*t + 37 = -0*t. Is w bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -9*f**3 + f**2 + 20*f - 56. Let r(k) = 100*k**3 - 10*k**2 - 215*k + 615. Let d(q) = -45*h(q) - 4*r(q). Factor d(p).\nAnswer: 5*(p - 2)**2*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 678778 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 22221101110 (base 3) to base 8\nAnswer: 527543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, 6\/5, 28, -2, 95\/462?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -8*v - 53. Let k be j(-8). Suppose 4 = 4*i + o, -2*i = -5*o - k - 13. What is the third derivative of 27*n**6 + 0*n**2 - 6*n**2 - 9*n**i wrt n?\nAnswer: 3240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 0.02, -3\/2, -2\/7, -5, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**2 - 12*r**2 + 2*r**2 + 5*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2755479 and -0.5?\nAnswer: 2755479.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -6\/31, 5, -2, 0.6 in descending order.\nAnswer: 5, 0.6, -6\/31, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 11*x**2 - 10*x + 7. What is j(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -4. Let y = 25 + -20. Suppose q + 3*q = s - 12, 6 = -s - y*q. Solve -s = -n + v*o, 5*n - 2*o - 4 - 8 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -4, 10 in descending order.\nAnswer: 10, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8\/9 - -23\/36. Let w be 4\/18 + 4\/(-18). Is w smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 96038133 to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 4:06 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16 - (-1027)\/65)*5*-1. Which is the closest to -7? (a) p (b) -2\/5 (c) 1\/6 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23077?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/12)\/((-616)\/1056).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -21*n**3 - 11*n + 11. Let m(u) = -14*u - 22. Let v be m(0). Let p(d) = -4*d**3 - 2*d + 2. Give v*p(a) + 4*r(a).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1512*b*l*w + 932*b + 571*l*w - 9*l + 85 wrt w.\nAnswer: -1512*b*l + 571*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 51*r + r**2 + 0*r**2 + 0*r**2 + 14*r**2 - 56*r. Let n(x) = 11*x. Determine o(n(d)).\nAnswer: 1815*d**2 - 55*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -5*j**2 - 6*j + 6. Suppose 4*l - 5*t = -7, -4*l - 85*t - 14 = -83*t. Let x(a) = -10*a**2 - 11*a + 11. What is l*x(s) + 5*f(s)?\nAnswer: 5*s**2 + 3*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1122123130 (base 4) to base 7.\nAnswer: -3101605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 77 and 17963?\nAnswer: 125741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 324 + -304. Let l(z) = -z**3 - 5*z**2 - 2*z + 2. What is the smallest common multiple of l(-5) and a?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c - c**3 - 853 - c + 145*c**4 - 17*c**2 + 854 + 4*c to p*c**3 + x*c**4 + o*c**2 + z + h*c and give x.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -357 - -360. What is the lowest common multiple of 6 and -10*(-10 + -6) - (z - -1)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 5*y - 30, -b = 3*b + 4*y. Is 50 a factor of 8\/(-84)*b - (-6156)\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -487.120305 + -53\nAnswer: -540.120305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**(-1))*b*b)\/(((b**(2\/21)*b)\/b)\/b))**28*((b\/(b\/(b*b*b\/(b\/(b\/(b**(-1\/12)\/b))*b*b)*b)))\/(b**(2\/27)*b))**(-2\/9) assuming b is positive.\nAnswer: b**(25703\/486)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 g, and 1 l when four letters picked without replacement from {g: 4, r: 1, e: 4, p: 1, l: 2, i: 3}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 0. Suppose 2*s + p*s = 56. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*i + 5*i - 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -12.66.\nAnswer: -2.532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-10)*(-15)\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 5*t - 20, n + 2*n + 9 = 8*t. Let y(f) be the second derivative of 13*f + 0 + 7\/2*f**2 - 3\/4*f**4 + 0*f**t. Differentiate y(l) wrt l.\nAnswer: -18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, e: 5, l: 2}. Give prob of sequence hh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w. Let q(u) = -u**2 + 1542158. What is p(q(m))?\nAnswer: -5*m**2 + 7710790","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.6126 and 0.\nAnswer: 0.6126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -632 * 5.\nAnswer: -3160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.01 or 70?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 - -42. Find the second derivative of -y + 9 + 2081*y**j + 0*y - 1937*y**4 + 71 wrt y.\nAnswer: 1728*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 10 = -s. Let q be (-2 + 1)\/((-145)\/(-20) + -7). Which is the closest to q? (a) s (b) 3 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 7:59 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3*y + 1 + 0)*(-2*y**2 + 5*y**2 - y**2) - y**3 + 0*y**3 - y**3 + 0*y**3 - y**3 - y**3 to the form c + k*y + d*y**2 + s*y**3 and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8386*j**3 + 2*j**2 + 204 wrt j.\nAnswer: -50316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7614376 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 4*z - 155. What is the remainder when b(-17) is divided by 53?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -174780 divided by 174780?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**2\/3 - 1778960*s - 474704802240 = 0. Calculate s.\nAnswer: -533688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/49 (b) 11 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-1*sqrt(88)*1)\/(sqrt(24)\/sqrt(108)*4))**2.\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6766830 divided by 3269.\nAnswer: 2070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*s + 62*s + 21 = 0. Let j(l) = -l**3 - 2*l**2 - 7*l - 6. Let b be j(s). Calculate the greatest common factor of b and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f + 11. Suppose x = -0*x + 4. Let a(d) = -d + 6. Determine x*q(c) - 7*a(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 930690 divided by 2298?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10968987 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*c + 3 = -31. Let k(v) = -3*v - 15. Let z be 73\/(-5) + 4\/(-10). Let w(n) = 9. Let j(q) = 19. Let m(a) = j(a) - 2*w(a). Give c*k(t) + z*m(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/2 (b) 5\/7 (c) -1 (d) 0.37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**2 - 8*q - 13. Let s(o) = 2*o**2 - 6*o + 7. Let m be s(4). Is l(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1076928 (b) 14 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}